0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n031.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Fri Sep 5 22:33:37 EDT 2025 0.13/0.34 % CPUTime : 0.21/0.51 %----Proving TH0 120.92/121.15 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 120.92/121.15 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s... 120.92/121.15 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s... 120.92/121.15 --- Run --ho-elim --full-saturate-quant at 14s... 120.92/121.15 % SZS status Theorem 120.92/121.15 % SZS output start Proof 120.92/121.15 ( 120.92/121.15 (declare-type $$unsorted ()) 120.92/121.15 (declare-type tptp.mu ()) 120.92/121.15 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) 120.92/121.15 (declare-const tptp.piotr tptp.mu) 120.92/121.15 (declare-const tptp.beer tptp.mu) 120.92/121.15 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) 120.92/121.15 (declare-const tptp.jan tptp.mu) 120.92/121.15 (declare-const tptp.mfalse (-> $$unsorted Bool)) 120.92/121.15 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) 120.92/121.15 (declare-const tptp.pepsi tptp.mu) 120.92/121.15 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) 120.92/121.15 (declare-const tptp.cola tptp.mu) 120.92/121.15 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) 120.92/121.15 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) 120.92/121.15 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) 120.92/121.15 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) 120.92/121.15 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) 120.92/121.15 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) 120.92/121.15 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) 120.92/121.15 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) 120.92/121.15 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) 120.92/121.15 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) 120.92/121.15 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) 120.92/121.15 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) 120.92/121.15 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) 120.92/121.15 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) 120.92/121.15 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) 120.92/121.15 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) 120.92/121.15 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) 120.92/121.15 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) 120.92/121.15 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) 120.92/121.15 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) 120.92/121.15 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) 120.92/121.15 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) 120.92/121.15 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) 120.92/121.15 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) 120.92/121.15 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) 120.92/121.15 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) 120.92/121.15 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) 120.92/121.15 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) 120.92/121.15 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) 120.92/121.15 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) 120.92/121.15 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) 120.92/121.15 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) 120.92/121.15 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) 120.92/121.15 (define tptp.cond4s () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "V" $$unsorted))) (let ((_let_5 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) 120.92/121.15 (define @t1 () (@var "__flatten_var_0" $$unsorted)) 120.92/121.15 (define @t2 () (@var "X" tptp.mu)) 120.92/121.15 (define @t3 () (_ tptp.likes @t2)) 120.92/121.15 (define @t4 () (_ @t3 tptp.pepsi)) 120.92/121.15 (define @t5 () (_ @t3 tptp.cola)) 120.92/121.15 (define @t6 () (_ tptp.mdia tptp.a1)) 120.92/121.15 (define @t7 () (_ tptp.mbox tptp.a1)) 120.92/121.15 (define @t8 () (@list @t2 @t1)) 120.92/121.15 (define @t9 () (@var "Y" tptp.mu)) 120.92/121.15 (define @t10 () (_ @t3 @t9)) 120.92/121.15 (define @t11 () (_ tptp.very_much_likes @t2)) 120.92/121.15 (define @t12 () (_ @t11 @t9)) 120.92/121.15 (define @t13 () (_ tptp.mdia tptp.a3)) 120.92/121.15 (define @t14 () (@list @t9 @t1)) 120.92/121.15 (define @t15 () (_ tptp.cond4s tptp.a2)) 120.92/121.15 (define @t16 () (_ tptp.likes tptp.jan)) 120.92/121.15 (define @t17 () (_ @t16 tptp.cola)) 120.92/121.15 (define @t18 () (_ tptp.likes tptp.piotr)) 120.92/121.15 (define @t19 () (_ @t18 tptp.beer)) 120.92/121.15 (define @t20 () (_ @t18 tptp.pepsi)) 120.92/121.15 (define @t21 () (_ tptp.cond4s tptp.a1)) 120.92/121.15 (define @t22 () (_ tptp.subrel tptp.a1)) 120.92/121.15 (define @t23 () (_ tptp.mbox tptp.a2)) 120.92/121.15 (define @t24 () (lambda @t8 (_ (_ @t23 (_ (_ tptp.mimplies @t4) @t5)) @t1))) 120.92/121.15 (define @t25 () (_ tptp.mbox tptp.a3)) 120.92/121.15 (define @t26 () (lambda @t14 (_ (_ (_ tptp.mimplies (_ @t25 @t12)) @t12) @t1))) 120.92/121.15 (define @t27 () (lambda @t8 (_ (_ tptp.mforall_ind @t26) @t1))) 120.92/121.15 (define @t28 () (lambda @t14 (_ (_ @t25 (_ (_ tptp.mimplies (_ (_ tptp.mand @t10) (_ (_ tptp.mand (_ @t7 @t10)) (_ @t23 @t10)))) @t12)) @t1))) 120.92/121.15 (define @t29 () (lambda @t8 (_ (_ tptp.mforall_ind @t28) @t1))) 120.92/121.15 (define @t30 () (_ @t12 @t1)) 120.92/121.15 (define @t31 () (lambda @t14 @t30)) 120.92/121.15 (define @t32 () (lambda @t8 (_ (_ tptp.mexists_ind @t31) @t1))) 120.92/121.15 (define @t33 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t32)))) 120.92/121.15 (define @t34 () (_ @t16 tptp.pepsi)) 120.92/121.15 (define @t35 () (_ (_ tptp.possibly_likes @t2) @t9)) 120.92/121.15 (define @t36 () (@var "W" $$unsorted)) 120.92/121.15 (define @t37 () (lambda (@list @t2 @t9 @t36) (= @t2 @t9))) 120.92/121.15 (define @t38 () (@var "Y" (-> $$unsorted Bool))) 120.92/121.15 (define @t39 () (@var "X" (-> $$unsorted Bool))) 120.92/121.15 (define @t40 () (lambda (@list @t39 @t38 @t36) (= (_ @t39 @t36) (_ @t38 @t36)))) 120.92/121.15 (define @t41 () (@var "Phi" (-> $$unsorted Bool))) 120.92/121.15 (define @t42 () (_ @t41 @t36)) 120.92/121.15 (define @t43 () (not @t42)) 120.92/121.15 (define @t44 () (@list @t41 @t36)) 120.92/121.15 (define @t45 () (lambda @t44 @t43)) 120.92/121.15 (define @t46 () (@var "Psi" (-> $$unsorted Bool))) 120.92/121.15 (define @t47 () (_ @t46 @t36)) 120.92/121.15 (define @t48 () (lambda (@list @t41 @t46 @t36) (or @t42 @t47))) 120.92/121.15 (define @t49 () (_ tptp.mnot @t46)) 120.92/121.15 (define @t50 () (_ tptp.mnot @t41)) 120.92/121.15 (define @t51 () (_ tptp.mor @t50)) 120.92/121.15 (define @t52 () (@list @t41 @t46 @t1)) 120.92/121.15 (define @t53 () (lambda @t52 (_ (_ tptp.mnot (_ @t51 @t49)) @t1))) 120.92/121.15 (define @t54 () (lambda @t52 (_ (_ @t51 @t46) @t1))) 120.92/121.15 (define @t55 () (lambda @t52 (_ (_ (_ tptp.mor @t49) @t41) @t1))) 120.92/121.15 (define @t56 () (lambda @t52 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t41) @t46)) (_ (_ tptp.mimplies @t46) @t41)) @t1))) 120.92/121.15 (define @t57 () (lambda @t52 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t41) @t46)) @t1))) 120.92/121.15 (define @t58 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) 120.92/121.15 (define @t59 () (_ @t58 @t2)) 120.92/121.15 (define @t60 () (_ @t59 @t36)) 120.92/121.15 (define @t61 () (@list @t2)) 120.92/121.15 (define @t62 () (forall @t61 @t60)) 120.92/121.15 (define @t63 () (@list @t58 @t36)) 120.92/121.15 (define @t64 () (lambda @t63 @t62)) 120.92/121.15 (define @t65 () (@var "P" (-> $$unsorted Bool))) 120.92/121.15 (define @t66 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) 120.92/121.15 (define @t67 () (_ @t66 @t65)) 120.92/121.15 (define @t68 () (lambda (@list @t66 @t36) (forall (@list @t65) (_ @t67 @t36)))) 120.92/121.15 (define @t69 () (lambda @t8 (_ (_ tptp.mnot @t59) @t1))) 120.92/121.15 (define @t70 () (@list @t58 @t1)) 120.92/121.15 (define @t71 () (lambda @t70 (_ (_ tptp.mnot (_ tptp.mforall_ind @t69)) @t1))) 120.92/121.15 (define @t72 () (lambda (@list @t66 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t65 @t1) (_ (_ tptp.mnot @t67) @t1)))) @t1))) 120.92/121.15 (define @t73 () (@list @t36)) 120.92/121.15 (define @t74 () (lambda @t73 true)) 120.92/121.15 (define @t75 () (@var "V" $$unsorted)) 120.92/121.15 (define @t76 () (_ @t41 @t75)) 120.92/121.15 (define @t77 () (@var "R" (-> $$unsorted $$unsorted Bool))) 120.92/121.15 (define @t78 () (_ (_ @t77 @t36) @t75)) 120.92/121.15 (define @t79 () (not @t78)) 120.92/121.15 (define @t80 () (or @t79 @t76)) 120.92/121.15 (define @t81 () (@list @t75)) 120.92/121.15 (define @t82 () (forall @t81 @t80)) 120.92/121.15 (define @t83 () (@list @t77 @t41 @t36)) 120.92/121.15 (define @t84 () (lambda @t83 @t82)) 120.92/121.15 (define @t85 () (lambda (@list @t77 @t41 @t1) (_ (_ tptp.mnot (_ (_ tptp.mbox @t77) @t50)) @t1))) 120.92/121.15 (define @t86 () (@var "S" $$unsorted)) 120.92/121.15 (define @t87 () (_ @t77 @t86)) 120.92/121.15 (define @t88 () (@list @t86)) 120.92/121.15 (define @t89 () (@list @t77)) 120.92/121.15 (define @t90 () (lambda @t89 (forall @t88 (_ @t87 @t86)))) 120.92/121.15 (define @t91 () (@var "T" $$unsorted)) 120.92/121.15 (define @t92 () (_ @t77 @t91)) 120.92/121.15 (define @t93 () (_ @t92 @t86)) 120.92/121.15 (define @t94 () (_ @t87 @t91)) 120.92/121.15 (define @t95 () (@list @t86 @t91)) 120.92/121.15 (define @t96 () (forall @t95 (=> @t94 @t93))) 120.92/121.15 (define @t97 () (lambda @t89 @t96)) 120.92/121.15 (define @t98 () (@list @t91)) 120.92/121.15 (define @t99 () (lambda @t89 (forall @t88 (exists @t98 @t94)))) 120.92/121.15 (define @t100 () (@var "U" $$unsorted)) 120.92/121.15 (define @t101 () (_ @t87 @t100)) 120.92/121.15 (define @t102 () (_ @t92 @t100)) 120.92/121.15 (define @t103 () (@list @t86 @t91 @t100)) 120.92/121.15 (define @t104 () (lambda @t89 (forall @t103 (=> (and @t94 @t102) @t101)))) 120.92/121.15 (define @t105 () (and @t94 @t101)) 120.92/121.15 (define @t106 () (forall @t103 (=> @t105 @t102))) 120.92/121.15 (define @t107 () (lambda @t89 @t106)) 120.92/121.15 (define @t108 () (= @t91 @t100)) 120.92/121.15 (define @t109 () (lambda @t89 (forall @t103 (=> @t105 @t108)))) 120.92/121.15 (define @t110 () (@list @t100)) 120.92/121.15 (define @t111 () (lambda @t89 (forall @t88 (exists @t98 (and @t94 (forall @t110 (=> @t101 @t108))))))) 120.92/121.15 (define @t112 () (_ @t77 @t100)) 120.92/121.15 (define @t113 () (_ @t112 @t91)) 120.92/121.15 (define @t114 () (lambda @t89 (forall @t103 (=> @t94 (exists @t110 (and @t101 @t113)))))) 120.92/121.15 (define @t115 () (lambda @t89 (forall @t103 (=> @t105 (or @t102 @t108 @t113))))) 120.92/121.15 (define @t116 () (lambda @t89 (forall @t103 (=> @t105 (exists @t81 (and (_ @t92 @t75) (_ @t112 @t75))))))) 120.92/121.15 (define @t117 () (forall @t73 @t42)) 120.92/121.15 (define @t118 () (@list @t41)) 120.92/121.15 (define @t119 () (lambda @t118 @t117)) 120.92/121.15 (define @t120 () (lambda @t118 (forall @t73 @t43))) 120.92/121.15 (define @t121 () (lambda @t118 (exists @t73 @t42))) 120.92/121.15 (define @t122 () (lambda @t118 (exists @t73 @t43))) 120.92/121.15 (define @t123 () (@var "Y" $$unsorted)) 120.92/121.15 (define @t124 () (@var "X" $$unsorted)) 120.92/121.15 (define @t125 () (@var "R2" (-> $$unsorted $$unsorted Bool))) 120.92/121.15 (define @t126 () (@var "R1" (-> $$unsorted $$unsorted Bool))) 120.92/121.15 (define @t127 () (@list @t126 @t125)) 120.92/121.15 (define @t128 () (lambda @t127 (forall (@list @t124 @t123) (=> (_ (_ @t126 @t124) @t123) (_ (_ @t125 @t124) @t123))))) 120.92/121.15 (define @t129 () (lambda @t127 (forall (@list @t100 @t75 @t36) (=> (and (_ (_ @t126 @t100) @t75) (_ (_ @t125 @t75) @t36)) (_ (_ @t125 @t100) @t36))))) 120.92/121.15 (define @t130 () (@const 0 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) 120.92/121.15 (define @t131 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> tptp.mu $$unsorted Bool))))) 120.92/121.15 (define @t132 () (_ @t131 @t130 @t2)) 120.92/121.15 (define @t133 () (@const 2 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) 120.92/121.15 (define @t134 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) 120.92/121.15 (define @t135 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) 120.92/121.15 (define @t136 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) 120.92/121.15 (define @t137 () (not (_ @t134 (_ @t136 @t135 @t36) @t75))) 120.92/121.15 (define @t138 () (@list @t36 @t2 @t75)) 120.92/121.15 (define @t139 () (forall @t138 (or @t137 (not (_ @t134 (_ @t133 @t132 tptp.pepsi) @t75)) (_ @t134 (_ @t133 @t132 tptp.cola) @t75)))) 120.92/121.15 (define @t140 () (tptp.likes @t2 tptp.cola @t75)) 120.92/121.15 (define @t141 () (tptp.likes @t2 tptp.pepsi @t75)) 120.92/121.15 (define @t142 () (not @t141)) 120.92/121.15 (define @t143 () (not (tptp.a2 @t36 @t75))) 120.92/121.15 (define @t144 () (or @t143 @t142 @t140)) 120.92/121.15 (define @t145 () (forall @t138 @t144)) 120.92/121.15 (define @t146 () (forall (@list @t2 @t75) @t144)) 120.92/121.15 (define @t147 () (lambda @t73 @t146)) 120.92/121.15 (define @t148 () (_ @t147 @t36)) 120.92/121.15 (define @t149 () (forall @t73 @t148)) 120.92/121.15 (define @t150 () (_ @t41 @t36)) 120.92/121.15 (define @t151 () (lambda @t118 (forall @t73 @t150))) 120.92/121.15 (define @t152 () (forall @t81 @t144)) 120.92/121.15 (define @t153 () (not (tptp.a2 @t1 @t75))) 120.92/121.15 (define @t154 () (forall @t81 (or @t153 @t142 @t140))) 120.92/121.15 (define @t155 () (lambda @t8 @t154)) 120.92/121.15 (define @t156 () (_ @t155 @t2 @t36)) 120.92/121.15 (define @t157 () (forall @t61 @t156)) 120.92/121.15 (define @t158 () (lambda @t73 @t157)) 120.92/121.15 (define @t159 () (_ @t58 @t2 @t36)) 120.92/121.15 (define @t160 () (forall @t61 @t159)) 120.92/121.15 (define @t161 () (lambda @t63 @t160)) 120.92/121.15 (define @t162 () (_ @t5 @t75)) 120.92/121.15 (define @t163 () (_ @t4 @t75)) 120.92/121.15 (define @t164 () (not @t163)) 120.92/121.15 (define @t165 () (or @t143 @t164 @t162)) 120.92/121.15 (define @t166 () (or @t164 @t162)) 120.92/121.15 (define @t167 () (not (_ @t4 @t1))) 120.92/121.15 (define @t168 () (@list @t1)) 120.92/121.15 (define @t169 () (lambda @t168 (or @t167 (_ @t5 @t1)))) 120.92/121.15 (define @t170 () (_ @t169 @t75)) 120.92/121.15 (define @t171 () (or @t143 @t170)) 120.92/121.15 (define @t172 () (forall @t81 @t171)) 120.92/121.15 (define @t173 () (lambda @t73 @t172)) 120.92/121.15 (define @t174 () (_ @t41 @t75)) 120.92/121.15 (define @t175 () (lambda @t44 (forall @t81 (or @t143 @t174)))) 120.92/121.15 (define @t176 () (_ @t46 @t1)) 120.92/121.15 (define @t177 () (@list @t46 @t1)) 120.92/121.15 (define @t178 () (lambda @t177 (or @t167 @t176))) 120.92/121.15 (define @t179 () (not (_ @t41 @t1))) 120.92/121.15 (define @t180 () (or @t179 @t176)) 120.92/121.15 (define @t181 () (lambda @t52 @t180)) 120.92/121.15 (define @t182 () (_ @t181 @t4)) 120.92/121.15 (define @t183 () (_ @t77 @t36 @t75)) 120.92/121.15 (define @t184 () (lambda @t83 (forall @t81 (or (not @t183) @t174)))) 120.92/121.15 (define @t185 () (_ @t184 tptp.a2)) 120.92/121.15 (define @t186 () (or @t43 @t47)) 120.92/121.15 (define @t187 () (lambda @t73 @t186)) 120.92/121.15 (define @t188 () (@list @t46 @t36)) 120.92/121.15 (define @t189 () (lambda @t188 @t186)) 120.92/121.15 (define @t190 () (lambda @t73 @t43)) 120.92/121.15 (define @t191 () (_ @t190 @t36)) 120.92/121.15 (define @t192 () (or @t191 @t47)) 120.92/121.15 (define @t193 () (lambda @t188 @t192)) 120.92/121.15 (define @t194 () (_ @t131 @t130 tptp.jan)) 120.92/121.15 (define @t195 () (_ @t133 @t194 tptp.pepsi)) 120.92/121.15 (define @t196 () (@list @t36 @t75)) 120.92/121.15 (define @t197 () (tptp.likes tptp.jan tptp.pepsi @t75)) 120.92/121.15 (define @t198 () (or @t143 @t197)) 120.92/121.15 (define @t199 () (forall @t196 @t198)) 120.92/121.15 (define @t200 () (forall @t81 @t198)) 120.92/121.15 (define @t201 () (lambda @t73 @t200)) 120.92/121.15 (define @t202 () (_ @t201 @t36)) 120.92/121.15 (define @t203 () (forall @t73 @t202)) 120.92/121.15 (define @t204 () (_ @t34 @t75)) 120.92/121.15 (define @t205 () (or @t143 @t204)) 120.92/121.15 (define @t206 () (_ @t34 @t75)) 120.92/121.15 (define @t207 () (or @t143 @t206)) 120.92/121.15 (define @t208 () (forall @t81 @t207)) 120.92/121.15 (define @t209 () (lambda @t73 @t208)) 120.92/121.15 (define @t210 () (@var "BOUND_VARIABLE_9189" $$unsorted)) 120.92/121.15 (define @t211 () (_ @t133 @t194 tptp.cola)) 120.92/121.15 (define @t212 () (@var "BOUND_VARIABLE_9305" tptp.mu)) 120.92/121.15 (define @t213 () (@const 6 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) 120.92/121.15 (define @t214 () (_ @t131 @t213 @t2)) 120.92/121.15 (define @t215 () (_ @t133 @t214 @t212)) 120.92/121.15 (define @t216 () (@list @t2 @t212)) 120.92/121.15 (define @t217 () (forall @t73 (not (forall @t216 (not (_ @t134 @t215 @t36)))))) 120.92/121.15 (define @t218 () (@quantifiers_skolemize @t217 0)) 120.92/121.15 (define @t219 () (_ @t136 @t135 @t218)) 120.92/121.15 (define @t220 () (@list @t210)) 120.92/121.15 (define @t221 () (forall @t220 (or (not (_ @t134 @t219 @t210)) (_ @t134 @t211 @t210)))) 120.92/121.15 (define @t222 () (@quantifiers_skolemize @t221 0)) 120.92/121.15 (define @t223 () (@var "BOUND_VARIABLE_9235" tptp.mu)) 120.92/121.15 (define @t224 () (_ @t133 @t132 @t223)) 120.92/121.15 (define @t225 () (@var "BOUND_VARIABLE_9198" $$unsorted)) 120.92/121.15 (define @t226 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) 120.92/121.15 (define @t227 () (@list @t225)) 120.92/121.15 (define @t228 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) 120.92/121.15 (define @t229 () (not (_ @t134 (_ @t136 @t228 @t36) @t75))) 120.92/121.15 (define @t230 () (@list @t36 @t2 @t223 @t75)) 120.92/121.15 (define @t231 () (not (tptp.a2 @t75 @t210))) 120.92/121.15 (define @t232 () (not (forall @t220 (or @t231 (tptp.likes @t2 @t223 @t210))))) 120.92/121.15 (define @t233 () (not (tptp.a1 @t75 @t225))) 120.92/121.15 (define @t234 () (not (forall @t227 (or @t233 (tptp.likes @t2 @t223 @t225))))) 120.92/121.15 (define @t235 () (not (tptp.likes @t2 @t223 @t75))) 120.92/121.15 (define @t236 () (tptp.very_much_likes @t2 @t223 @t75)) 120.92/121.15 (define @t237 () (not (tptp.a3 @t36 @t75))) 120.92/121.15 (define @t238 () (or @t237 @t236 @t235 @t234 @t232)) 120.92/121.15 (define @t239 () (forall @t230 @t238)) 120.92/121.15 (define @t240 () (forall (@list @t2 @t223 @t75) @t238)) 120.92/121.15 (define @t241 () (lambda @t73 @t240)) 120.92/121.15 (define @t242 () (_ @t241 @t36)) 120.92/121.15 (define @t243 () (forall @t73 @t242)) 120.92/121.15 (define @t244 () (@list @t223 @t75)) 120.92/121.15 (define @t245 () (forall @t244 @t238)) 120.92/121.15 (define @t246 () (not (tptp.a3 @t1 @t75))) 120.92/121.15 (define @t247 () (forall @t244 (or @t246 @t236 @t235 @t234 @t232))) 120.92/121.15 (define @t248 () (lambda @t8 @t247)) 120.92/121.15 (define @t249 () (_ @t248 @t2 @t36)) 120.92/121.15 (define @t250 () (forall @t61 @t249)) 120.92/121.15 (define @t251 () (lambda @t73 @t250)) 120.92/121.15 (define @t252 () (forall @t81 @t238)) 120.92/121.15 (define @t253 () (@list @t223)) 120.92/121.15 (define @t254 () (tptp.likes @t2 @t9 @t210)) 120.92/121.15 (define @t255 () (not (forall @t220 (or @t231 @t254)))) 120.92/121.15 (define @t256 () (tptp.likes @t2 @t9 @t225)) 120.92/121.15 (define @t257 () (not (forall @t227 (or @t233 @t256)))) 120.92/121.15 (define @t258 () (tptp.likes @t2 @t9 @t75)) 120.92/121.15 (define @t259 () (not @t258)) 120.92/121.15 (define @t260 () (tptp.very_much_likes @t2 @t9 @t75)) 120.92/121.15 (define @t261 () (forall @t81 (or @t246 @t260 @t259 @t257 @t255))) 120.92/121.15 (define @t262 () (lambda @t14 @t261)) 120.92/121.15 (define @t263 () (_ @t262 @t223 @t36)) 120.92/121.15 (define @t264 () (forall @t253 @t263)) 120.92/121.15 (define @t265 () (lambda @t73 @t264)) 120.92/121.15 (define @t266 () (@list @t2)) 120.92/121.15 (define @t267 () (_ @t10 @t75)) 120.92/121.15 (define @t268 () (not @t267)) 120.92/121.15 (define @t269 () (_ @t12 @t75)) 120.92/121.15 (define @t270 () (or @t237 @t269 @t268 @t257 @t255)) 120.92/121.15 (define @t271 () (or @t269 @t268 @t257 @t255)) 120.92/121.15 (define @t272 () (not (_ @t10 @t1))) 120.92/121.15 (define @t273 () (forall @t81 (or @t153 @t258))) 120.92/121.15 (define @t274 () (@list @t75)) 120.92/121.15 (define @t275 () (not @t273)) 120.92/121.15 (define @t276 () (forall @t81 (or (not (tptp.a1 @t1 @t75)) @t258))) 120.92/121.15 (define @t277 () (not @t276)) 120.92/121.15 (define @t278 () (or @t30 @t272 @t277 @t275)) 120.92/121.15 (define @t279 () (lambda @t168 @t278)) 120.92/121.15 (define @t280 () (or @t237 (_ @t279 @t75))) 120.92/121.15 (define @t281 () (forall @t81 @t280)) 120.92/121.15 (define @t282 () (lambda @t73 @t281)) 120.92/121.15 (define @t283 () (lambda @t44 (forall @t81 (or @t237 @t174)))) 120.92/121.15 (define @t284 () (or @t176 @t272 @t277 @t275)) 120.92/121.15 (define @t285 () (or @t272 @t277 @t275)) 120.92/121.15 (define @t286 () (not @t285)) 120.92/121.15 (define @t287 () (lambda @t168 @t286)) 120.92/121.15 (define @t288 () (_ @t287 @t1)) 120.92/121.15 (define @t289 () (not @t288)) 120.92/121.15 (define @t290 () (or @t289 @t176)) 120.92/121.15 (define @t291 () (lambda @t177 @t290)) 120.92/121.15 (define @t292 () (or @t277 @t275)) 120.92/121.15 (define @t293 () (not @t292)) 120.92/121.15 (define @t294 () (lambda @t168 @t293)) 120.92/121.15 (define @t295 () (_ @t294 @t1)) 120.92/121.15 (define @t296 () (not @t295)) 120.92/121.15 (define @t297 () (or @t272 @t296)) 120.92/121.15 (define @t298 () (not @t297)) 120.92/121.15 (define @t299 () (lambda @t168 @t298)) 120.92/121.15 (define @t300 () (not @t176)) 120.92/121.15 (define @t301 () (lambda @t177 (not (or @t272 @t300)))) 120.92/121.15 (define @t302 () (lambda @t73 (forall @t81 (or @t143 @t258)))) 120.92/121.15 (define @t303 () (_ @t302 @t1)) 120.92/121.15 (define @t304 () (not @t303)) 120.92/121.15 (define @t305 () (or @t277 @t304)) 120.92/121.15 (define @t306 () (not @t305)) 120.92/121.15 (define @t307 () (lambda @t168 @t306)) 120.92/121.15 (define @t308 () (or @t143 @t267)) 120.92/121.15 (define @t309 () (_ @t10 @t75)) 120.92/121.15 (define @t310 () (or @t143 @t309)) 120.92/121.15 (define @t311 () (forall @t81 @t310)) 120.92/121.15 (define @t312 () (lambda @t73 @t311)) 120.92/121.15 (define @t313 () (not (tptp.a1 @t36 @t75))) 120.92/121.15 (define @t314 () (lambda @t73 (forall @t81 (or @t313 @t258)))) 120.92/121.15 (define @t315 () (_ @t314 @t1)) 120.92/121.15 (define @t316 () (not @t315)) 120.92/121.15 (define @t317 () (or @t316 @t300)) 120.92/121.15 (define @t318 () (not @t317)) 120.92/121.15 (define @t319 () (lambda @t177 @t318)) 120.92/121.15 (define @t320 () (not (or @t179 @t300))) 120.92/121.15 (define @t321 () (lambda @t52 @t320)) 120.92/121.15 (define @t322 () (or @t313 @t267)) 120.92/121.15 (define @t323 () (or @t313 @t309)) 120.92/121.15 (define @t324 () (forall @t81 @t323)) 120.92/121.15 (define @t325 () (lambda @t73 @t324)) 120.92/121.15 (define @t326 () (lambda @t44 (forall @t81 (or @t313 @t174)))) 120.92/121.15 (define @t327 () (_ @t184 tptp.a1)) 120.92/121.15 (define @t328 () (_ @t321 @t10)) 120.92/121.15 (define @t329 () (_ @t184 tptp.a3)) 120.92/121.15 (define @t330 () (lambda @t14 (_ (_ @t329 (_ (_ @t181 (_ @t328 (_ (_ @t321 (_ @t327 @t10)) (_ @t185 @t10)))) @t12)) @t1))) 120.92/121.15 (define @t331 () (not @t47)) 120.92/121.15 (define @t332 () (or @t43 @t331)) 120.92/121.15 (define @t333 () (lambda @t73 @t332)) 120.92/121.15 (define @t334 () (_ @t333 @t36)) 120.92/121.15 (define @t335 () (not @t334)) 120.92/121.15 (define @t336 () (lambda @t73 @t335)) 120.92/121.15 (define @t337 () (lambda @t73 @t331)) 120.92/121.15 (define @t338 () (_ @t337 @t36)) 120.92/121.15 (define @t339 () (or @t43 @t338)) 120.92/121.15 (define @t340 () (lambda @t73 @t339)) 120.92/121.15 (define @t341 () (_ @t134 @t211 @t75)) 120.92/121.15 (define @t342 () (tptp.likes tptp.jan tptp.cola @t75)) 120.92/121.15 (define @t343 () (or @t313 @t342)) 120.92/121.15 (define @t344 () (forall @t196 @t343)) 120.92/121.15 (define @t345 () (forall @t81 @t343)) 120.92/121.15 (define @t346 () (lambda @t73 @t345)) 120.92/121.15 (define @t347 () (_ @t346 @t36)) 120.92/121.15 (define @t348 () (forall @t73 @t347)) 120.92/121.15 (define @t349 () (_ @t17 @t75)) 120.92/121.15 (define @t350 () (or @t313 @t349)) 120.92/121.15 (define @t351 () (_ @t17 @t75)) 120.92/121.15 (define @t352 () (or @t313 @t351)) 120.92/121.15 (define @t353 () (forall @t81 @t352)) 120.92/121.15 (define @t354 () (lambda @t73 @t353)) 120.92/121.15 (define @t355 () (_ @t136 @t226 @t218)) 120.92/121.15 (define @t356 () (forall @t227 (or (not (_ @t134 @t355 @t225)) (_ @t134 @t211 @t225)))) 120.92/121.15 (define @t357 () (@quantifiers_skolemize @t356 0)) 120.92/121.15 (define @t358 () (or (not (_ @t134 @t355 @t357)) (_ @t134 @t211 @t357))) 120.92/121.15 (define @t359 () (not @t358)) 120.92/121.15 (define @t360 () (not @t356)) 120.92/121.15 (define @t361 () (not @t217)) 120.92/121.15 (define @t362 () (not (forall @t216 (not (tptp.very_much_likes @t2 @t212 @t36))))) 120.92/121.15 (define @t363 () (tptp.very_much_likes @t2 @t212 @t1)) 120.92/121.15 (define @t364 () (not @t363)) 120.92/121.15 (define @t365 () (forall @t216 @t364)) 120.92/121.15 (define @t366 () (lambda @t168 (not @t365))) 120.92/121.15 (define @t367 () (_ @t366 @t36)) 120.92/121.15 (define @t368 () (forall @t73 @t367)) 120.92/121.15 (define @t369 () (@list @t212)) 120.92/121.15 (define @t370 () (forall @t369 @t364)) 120.92/121.15 (define @t371 () (not @t370)) 120.92/121.15 (define @t372 () (lambda @t8 @t371)) 120.92/121.15 (define @t373 () (_ @t372 @t2 @t1)) 120.92/121.15 (define @t374 () (not @t373)) 120.92/121.15 (define @t375 () (forall @t61 @t374)) 120.92/121.15 (define @t376 () (not @t375)) 120.92/121.15 (define @t377 () (lambda @t168 @t376)) 120.92/121.15 (define @t378 () (forall @t61 (not (_ @t58 @t2 @t1)))) 120.92/121.15 (define @t379 () (not @t378)) 120.92/121.15 (define @t380 () (lambda @t70 @t379)) 120.92/121.15 (define @t381 () (_ (_ @t11 @t212) @t1)) 120.92/121.15 (define @t382 () (not @t381)) 120.92/121.15 (define @t383 () (_ @t31 @t212 @t1)) 120.92/121.15 (define @t384 () (not @t383)) 120.92/121.15 (define @t385 () (forall @t369 @t384)) 120.92/121.15 (define @t386 () (not @t385)) 120.92/121.15 (define @t387 () (lambda @t168 @t386)) 120.92/121.15 (define @t388 () (lambda @t8 (_ (_ @t380 @t31) @t1))) 120.92/121.15 (define @t389 () (forall @t61 (not @t159))) 120.92/121.15 (define @t390 () (lambda @t73 @t389)) 120.92/121.15 (define @t391 () (_ @t390 @t36)) 120.92/121.15 (define @t392 () (not @t391)) 120.92/121.15 (define @t393 () (lambda @t73 @t392)) 120.92/121.15 (define @t394 () (not @t60)) 120.92/121.15 (define @t395 () (not (_ @t59 @t1))) 120.92/121.15 (define @t396 () (lambda @t8 @t395)) 120.92/121.15 (define @t397 () (_ @t396 @t2 @t36)) 120.92/121.15 (define @t398 () (forall @t61 @t397)) 120.92/121.15 (define @t399 () (lambda @t73 @t398)) 120.92/121.15 (define @t400 () (lambda @t73 @t394)) 120.92/121.15 (define @t401 () (_ @t45 @t59)) 120.92/121.15 (define @t402 () (forall @t216 (not (_ @t134 @t215 @t218)))) 120.92/121.15 (define @t403 () (not (not @t402))) 120.92/121.15 (define @t404 () (@list true)) 120.92/121.15 (define @t405 () (_ @t136 @t228 @t91)) 120.92/121.15 (define @t406 () (_ @t136 @t228 @t86)) 120.92/121.15 (define @t407 () (not (_ @t134 @t406 @t91))) 120.92/121.15 (define @t408 () (not (tptp.a3 @t86 @t91))) 120.92/121.15 (define @t409 () (forall @t103 (or @t408 (not (tptp.a3 @t86 @t100)) (tptp.a3 @t91 @t100)))) 120.92/121.15 (define @t410 () (_ @t77 @t91 @t100)) 120.92/121.15 (define @t411 () (_ @t77 @t86 @t100)) 120.92/121.15 (define @t412 () (_ @t77 @t86 @t91)) 120.92/121.15 (define @t413 () (not @t412)) 120.92/121.15 (define @t414 () (not @t101)) 120.92/121.15 (define @t415 () (not @t94)) 120.92/121.15 (define @t416 () (or @t415 @t414 @t102)) 120.92/121.15 (define @t417 () (_ @t133 (_ @t131 @t213 tptp.jan) tptp.cola)) 120.92/121.15 (define @t418 () (_ @t136 @t228 @t218)) 120.92/121.15 (define @t419 () (forall @t81 (or (not (_ @t134 @t418 @t75)) (_ @t134 @t417 @t75)))) 120.92/121.15 (define @t420 () (@quantifiers_skolemize @t419 0)) 120.92/121.15 (define @t421 () (forall @t95 (or @t408 (tptp.a3 @t91 @t86)))) 120.92/121.15 (define @t422 () (_ @t77 @t91 @t86)) 120.92/121.15 (define @t423 () (or @t415 @t93)) 120.92/121.15 (define @t424 () (@var "BOUND_VARIABLE_9033" tptp.mu)) 120.92/121.15 (define @t425 () (_ @t133 @t214 @t424)) 120.92/121.15 (define @t426 () (@list @t36 @t2 @t424)) 120.92/121.15 (define @t427 () (tptp.very_much_likes @t2 @t424 @t36)) 120.92/121.15 (define @t428 () (tptp.very_much_likes @t2 @t424 @t75)) 120.92/121.15 (define @t429 () (not (forall @t81 (or @t237 @t428)))) 120.92/121.15 (define @t430 () (or @t429 @t427)) 120.92/121.15 (define @t431 () (forall @t426 @t430)) 120.92/121.15 (define @t432 () (forall (@list @t2 @t424) @t430)) 120.92/121.15 (define @t433 () (lambda @t73 @t432)) 120.92/121.15 (define @t434 () (_ @t433 @t36)) 120.92/121.15 (define @t435 () (forall @t73 @t434)) 120.92/121.15 (define @t436 () (@list @t424)) 120.92/121.15 (define @t437 () (forall @t436 @t430)) 120.92/121.15 (define @t438 () (forall @t436 (or (not (forall @t81 (or @t246 @t428))) (tptp.very_much_likes @t2 @t424 @t1)))) 120.92/121.15 (define @t439 () (lambda @t8 @t438)) 120.92/121.15 (define @t440 () (_ @t439 @t2 @t36)) 120.92/121.15 (define @t441 () (forall @t61 @t440)) 120.92/121.15 (define @t442 () (lambda @t73 @t441)) 120.92/121.15 (define @t443 () (_ (_ @t11 @t424) @t36)) 120.92/121.15 (define @t444 () (or @t429 @t443)) 120.92/121.15 (define @t445 () (forall @t81 (or @t246 @t260))) 120.92/121.15 (define @t446 () (not @t445)) 120.92/121.15 (define @t447 () (or @t446 @t30)) 120.92/121.15 (define @t448 () (lambda @t14 @t447)) 120.92/121.15 (define @t449 () (_ @t448 @t424 @t36)) 120.92/121.15 (define @t450 () (forall @t436 @t449)) 120.92/121.15 (define @t451 () (lambda @t73 @t450)) 120.92/121.15 (define @t452 () (lambda @t168 @t447)) 120.92/121.15 (define @t453 () (lambda @t73 (forall @t81 (or @t237 @t260)))) 120.92/121.15 (define @t454 () (_ @t453 @t1)) 120.92/121.15 (define @t455 () (not @t454)) 120.92/121.15 (define @t456 () (or @t455 @t176)) 120.92/121.15 (define @t457 () (lambda @t177 @t456)) 120.92/121.15 (define @t458 () (or @t237 @t269)) 120.92/121.15 (define @t459 () (_ @t12 @t75)) 120.92/121.15 (define @t460 () (or @t237 @t459)) 120.92/121.15 (define @t461 () (forall @t81 @t460)) 120.92/121.15 (define @t462 () (lambda @t73 @t461)) 120.92/121.15 (define @t463 () (lambda @t14 (_ (_ (_ @t181 (_ @t329 @t12)) @t12) @t1))) 120.92/121.15 (define @t464 () (_ @t134 @t417 @t218)) 120.92/121.15 (define @t465 () (not @t419)) 120.92/121.15 (define @t466 () (or @t465 @t464)) 120.92/121.15 (define @t467 () (@list true false)) 120.92/121.15 (define @t468 () (_ @t134 @t418 @t420)) 120.92/121.15 (define @t469 () (not @t468)) 120.92/121.15 (define @t470 () (or @t469 (_ @t134 @t417 @t420))) 120.92/121.15 (define @t471 () (_ @t134 (_ @t136 @t228 @t420) @t218)) 120.92/121.15 (define @t472 () (or @t469 @t471)) 120.92/121.15 (define @t473 () (@list false false)) 120.92/121.15 (define @t474 () (_ @t134 @t418 @t218)) 120.92/121.15 (define @t475 () (not @t471)) 120.92/121.15 (define @t476 () (or @t475 @t475 @t474)) 120.92/121.15 (define @t477 () (or @t237 @t342)) 120.92/121.15 (define @t478 () (forall @t196 @t477)) 120.92/121.15 (define @t479 () (forall @t81 @t477)) 120.92/121.15 (define @t480 () (lambda @t73 @t479)) 120.92/121.15 (define @t481 () (_ @t480 @t36)) 120.92/121.15 (define @t482 () (forall @t73 @t481)) 120.92/121.15 (define @t483 () (or @t237 @t349)) 120.92/121.15 (define @t484 () (or @t237 @t351)) 120.92/121.15 (define @t485 () (forall @t81 @t484)) 120.92/121.15 (define @t486 () (lambda @t73 @t485)) 120.92/121.15 (define @t487 () (_ @t134 @t211 @t218)) 120.92/121.15 (define @t488 () (not @t474)) 120.92/121.15 (define @t489 () (or @t488 @t487)) 120.92/121.15 (define @t490 () (not @t221)) 120.92/121.15 (define @t491 () (not @t487)) 120.92/121.15 (define @t492 () (or @t488 @t464 @t491 @t360 @t490)) 120.92/121.15 (define @t493 () (_ @t134 @t211 @t222)) 120.92/121.15 (define @t494 () (_ @t134 @t219 @t222)) 120.92/121.15 (define @t495 () (not @t494)) 120.92/121.15 (define @t496 () (or @t495 @t493)) 120.92/121.15 (define @t497 () (not @t496)) 120.92/121.15 (define @t498 () (@list @t496)) 120.92/121.15 (define @t499 () (_ @t134 @t195 @t222)) 120.92/121.15 (define @t500 () (or @t495 @t499)) 120.92/121.15 (define @t501 () (not @t499)) 120.92/121.15 (define @t502 () (or @t495 @t501 @t493)) 120.92/121.15 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) 120.92/121.15 (assume @p2 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t8 (_ (_ @t7 (_ (_ tptp.mimplies (_ @t6 @t5)) @t4)) @t1))))) 120.92/121.15 (assume @p3 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t8 (_ (_ tptp.mforall_ind (lambda @t14 (_ (_ (_ tptp.mimplies (_ @t13 @t12)) @t10) @t1))) @t1))))) 120.92/121.15 (assume @p4 (_ @t15 tptp.a1)) 120.92/121.15 (assume @p5 (_ @t15 tptp.a2)) 120.92/121.15 (assume @p6 (_ (_ tptp.subrel tptp.a2) tptp.a3)) 120.92/121.15 (assume @p7 (_ tptp.mvalid (_ @t7 @t17))) 120.92/121.15 (assume @p8 (_ tptp.msymmetric tptp.a1)) 120.92/121.15 (assume @p9 (_ tptp.mvalid (_ @t7 @t19))) 120.92/121.15 (assume @p10 (_ tptp.meuclidean tptp.a3)) 120.92/121.15 (assume @p11 (_ tptp.mvalid (_ @t7 (_ @t18 tptp.cola)))) 120.92/121.15 (assume @p12 (_ tptp.mvalid (_ @t7 @t20))) 120.92/121.15 (assume @p13 (_ tptp.mvalid (_ @t6 @t19))) 120.92/121.15 (assume @p14 (_ @t21 tptp.a2)) 120.92/121.15 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t8 (_ (_ @t7 (_ (_ tptp.mimplies (_ @t6 @t4)) @t5)) @t1))))) 120.92/121.15 (assume @p16 (_ @t22 tptp.a2)) 120.92/121.15 (assume @p17 (_ tptp.msymmetric tptp.a3)) 120.92/121.15 (assume @p18 (_ @t21 tptp.a1)) 120.92/121.15 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind @t24))) 120.92/121.15 (assume @p20 (_ tptp.mvalid (_ tptp.mforall_ind @t27))) 120.92/121.15 (assume @p21 (_ @t15 tptp.a3)) 120.92/121.15 (assume @p22 (_ tptp.mserial tptp.a1)) 120.92/121.15 (assume @p23 (_ tptp.mvalid (_ tptp.mforall_ind @t29))) 120.92/121.15 (assume @p24 (_ tptp.meuclidean tptp.a2)) 120.92/121.15 (assume @p25 (_ @t22 tptp.a3)) 120.92/121.15 (assume @p26 @t33) 120.92/121.15 (assume @p27 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) 120.92/121.15 (assume @p28 (_ @t21 tptp.a3)) 120.92/121.15 (assume @p29 (_ tptp.mserial tptp.a2)) 120.92/121.15 (assume @p30 (_ tptp.mvalid (_ @t23 @t34))) 120.92/121.15 (assume @p31 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t8 (_ (_ tptp.mforall_ind (lambda @t14 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t10)) @t35) @t1))) @t1))))) 120.92/121.15 (assume @p32 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t8 (_ (_ tptp.mforall_ind (lambda @t14 (_ (_ (_ tptp.mimplies (_ @t6 @t10)) @t35) @t1))) @t1))))) 120.92/121.15 (assume @p33 (_ tptp.meuclidean tptp.a1)) 120.92/121.15 (assume @p34 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t8 (_ (_ @t23 (_ (_ tptp.mimplies @t5) @t4)) @t1))))) 120.92/121.15 (assume @p35 (_ tptp.mvalid (_ @t25 @t17))) 120.92/121.15 (assume @p36 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t8 (_ (_ tptp.mforall_ind (lambda @t14 (_ (_ (_ tptp.mimplies (_ @t13 @t10)) @t35) @t1))) @t1))))) 120.92/121.15 (assume @p37 (_ tptp.msymmetric tptp.a2)) 120.92/121.15 (assume @p38 (_ tptp.mserial tptp.a3)) 120.92/121.15 (assume @p39 (_ tptp.mvalid (_ @t13 @t20))) 120.92/121.15 (assume @p40 true) 120.92/121.15 (step @p41 (= tptp.meq_ind @t37) :rule refl :args (@t37)) 120.92/121.15 (step @p42 (= tptp.meq_prop @t40) :rule refl :args (@t40)) 120.92/121.15 (step @p43 (= tptp.mnot @t45) :rule refl :args (@t45)) 120.92/121.15 (step @p44 (= tptp.mor @t48) :rule refl :args (@t48)) 120.92/121.15 (step @p45 (= tptp.mand @t53) :rule refl :args (@t53)) 120.92/121.15 (step @p46 (= tptp.mimplies @t54) :rule refl :args (@t54)) 120.92/121.15 (step @p47 (= tptp.mimplied @t55) :rule refl :args (@t55)) 120.92/121.15 (step @p48 (= tptp.mequiv @t56) :rule refl :args (@t56)) 120.92/121.15 (step @p49 (= tptp.mxor @t57) :rule refl :args (@t57)) 120.92/121.15 (step @p50 (= tptp.mforall_ind @t64) :rule refl :args (@t64)) 120.92/121.15 (step @p51 (= tptp.mforall_prop @t68) :rule refl :args (@t68)) 120.92/121.15 (step @p52 (= tptp.mexists_ind @t71) :rule refl :args (@t71)) 120.92/121.15 (step @p53 (= tptp.mexists_prop @t72) :rule refl :args (@t72)) 120.92/121.15 (step @p54 (= tptp.mtrue @t74) :rule refl :args (@t74)) 120.92/121.15 (step @p55 (= tptp.mbox @t84) :rule refl :args (@t84)) 120.92/121.15 (step @p56 (= tptp.mdia @t85) :rule refl :args (@t85)) 120.92/121.15 (step @p57 (= tptp.mreflexive @t90) :rule refl :args (@t90)) 120.92/121.15 (step @p58 (= tptp.msymmetric @t97) :rule refl :args (@t97)) 120.92/121.15 (step @p59 (= tptp.mserial @t99) :rule refl :args (@t99)) 120.92/121.15 (step @p60 (= tptp.mtransitive @t104) :rule refl :args (@t104)) 120.92/121.15 (step @p61 (= tptp.meuclidean @t107) :rule refl :args (@t107)) 120.92/121.15 (step @p62 (= tptp.mpartially_functional @t109) :rule refl :args (@t109)) 120.92/121.15 (step @p63 (= tptp.mfunctional @t111) :rule refl :args (@t111)) 120.92/121.15 (step @p64 (= tptp.mweakly_dense @t114) :rule refl :args (@t114)) 120.92/121.15 (step @p65 (= tptp.mweakly_connected @t115) :rule refl :args (@t115)) 120.92/121.15 (step @p66 (= tptp.mweakly_directed @t116) :rule refl :args (@t116)) 120.92/121.15 (step @p67 (= tptp.mvalid @t119) :rule refl :args (@t119)) 120.92/121.15 (step @p68 (= tptp.minvalid @t120) :rule refl :args (@t120)) 120.92/121.15 (step @p69 (= tptp.msatisfiable @t121) :rule refl :args (@t121)) 120.92/121.15 (step @p70 (= tptp.mcountersatisfiable @t122) :rule refl :args (@t122)) 120.92/121.15 (step @p71 (= tptp.subrel @t128) :rule refl :args (@t128)) 120.92/121.15 (step @p72 (= tptp.cond4s @t129) :rule refl :args (@t129)) 120.92/121.15 ; WARNING: add trust step for TRUST 120.92/121.15 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.15 (step @p73 :rule trust :premises () :args ((= @t145 @t139))) 120.92/121.15 (step @p74 :rule quant-merge-prenex :args ((= (forall @t73 @t146) @t145))) 120.92/121.15 (step @p75 :rule beta-reduce :args ((= @t148 @t146))) 120.92/121.15 (step @p76 :rule cong :premises (@p75) :args (@t149)) 120.92/121.15 (step @p77 :rule trans :premises (@p76 @p74)) 120.92/121.15 (step @p78 :rule beta-reduce :args ((= (_ @t151 @t147) @t149))) 120.92/121.15 (step @p79 :rule trans :premises (@p78 @p77)) 120.92/121.15 (step @p80 :rule quant-merge-prenex :args ((= (forall @t61 @t152) @t146))) 120.92/121.15 (step @p81 :rule beta-reduce :args ((= @t156 @t152))) 120.92/121.15 (step @p82 :rule cong :premises (@p81) :args (@t157)) 120.92/121.15 (step @p83 :rule trans :premises (@p82 @p80)) 120.92/121.15 (step @p84 :rule cong :premises (@p83) :args (@t158)) 120.92/121.15 (step @p85 :rule beta-reduce :args ((= (_ @t161 @t155) @t158))) 120.92/121.15 (step @p86 :rule trans :premises (@p85 @p84)) 120.92/121.15 (step @p87 :rule beta-reduce :args ((= (_ (lambda @t73 @t152) @t1) @t154))) 120.92/121.15 (step @p88 :rule refl :args (@t1)) 120.92/121.15 (step @p89 :rule refl :args (@t140)) 120.92/121.15 (step @p90 :rule refl :args (@t162)) 120.92/121.15 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t162 @t140))) 120.92/121.15 (step @p92 :rule symm :premises (@p91)) 120.92/121.15 (step @p93 :rule eq_resolve :premises (@p90 @p92)) 120.92/121.15 (step @p94 :rule refl :args (@t141)) 120.92/121.15 (step @p95 :rule refl :args (@t163)) 120.92/121.15 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t163 @t141))) 120.92/121.15 (step @p97 :rule symm :premises (@p96)) 120.92/121.15 (step @p98 :rule eq_resolve :premises (@p95 @p97)) 120.92/121.15 (step @p99 :rule cong :premises (@p98) :args (@t164)) 120.92/121.15 (step @p100 :rule refl :args (@t143)) 120.92/121.15 (step @p101 :rule nary_cong :premises (@p100 @p99 @p93) :args (@t165)) 120.92/121.15 (step @p102 :rule cong :premises (@p101) :args ((forall @t81 @t165))) 120.92/121.15 (step @p103 :rule aci_norm :args ((= (or @t143 @t166) @t165))) 120.92/121.15 (step @p104 :rule beta-reduce :args ((= @t170 @t166))) 120.92/121.15 (step @p105 :rule refl :args (@t143)) 120.92/121.15 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t171)) 120.92/121.15 (step @p107 :rule trans :premises (@p106 @p103)) 120.92/121.15 (step @p108 :rule cong :premises (@p107) :args (@t172)) 120.92/121.15 (step @p109 :rule trans :premises (@p108 @p102)) 120.92/121.15 (step @p110 :rule cong :premises (@p109) :args (@t173)) 120.92/121.15 (step @p111 :rule beta-reduce :args ((= (_ @t175 @t169) @t173))) 120.92/121.15 (step @p112 :rule trans :premises (@p111 @p110)) 120.92/121.15 (step @p113 :rule beta-reduce :args ((= (_ @t178 @t5) @t169))) 120.92/121.15 (step @p114 :rule refl :args (@t5)) 120.92/121.15 (step @p115 :rule beta-reduce :args ((= @t182 @t178))) 120.92/121.15 (step @p116 :rule ho_cong :premises (@p115 @p114)) 120.92/121.15 (step @p117 :rule trans :premises (@p116 @p113)) 120.92/121.15 (step @p118 :rule beta-reduce :args ((= @t185 @t175))) 120.92/121.15 (step @p119 :rule ho_cong :premises (@p118 @p117)) 120.92/121.15 (step @p120 :rule trans :premises (@p119 @p112)) 120.92/121.15 (step @p121 :rule ho_cong :premises (@p120 @p88)) 120.92/121.15 (step @p122 :rule trans :premises (@p121 @p87)) 120.92/121.15 (step @p123 :rule cong :premises (@p122) :args ((lambda @t8 (_ (_ @t185 (_ @t182 @t5)) @t1)))) 120.92/121.15 (step @p124 :rule refl :args (@t161)) 120.92/121.15 (step @p125 :rule ho_cong :premises (@p124 @p123)) 120.92/121.15 (step @p126 :rule trans :premises (@p125 @p86)) 120.92/121.15 (step @p127 :rule refl :args (@t151)) 120.92/121.15 (step @p128 :rule ho_cong :premises (@p127 @p126)) 120.92/121.15 (step @p129 :rule trans :premises (@p128 @p79)) 120.92/121.15 (step @p130 :rule refl :args (@t4)) 120.92/121.15 (step @p131 :rule beta-reduce :args ((= (_ @t187 @t1) @t180))) 120.92/121.15 (step @p132 :rule beta-reduce :args ((= (_ @t189 @t46) @t187))) 120.92/121.15 (step @p133 :rule refl :args (@t46)) 120.92/121.15 (step @p134 :rule refl :args (@t47)) 120.92/121.15 (step @p135 :rule beta-reduce :args ((= @t191 @t43))) 120.92/121.15 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t192)) 120.92/121.15 (step @p137 :rule cong :premises (@p136) :args (@t193)) 120.92/121.15 (step @p138 :rule beta-reduce :args ((= (_ @t48 @t190) @t193))) 120.92/121.15 (step @p139 :rule trans :premises (@p138 @p137)) 120.92/121.15 (step @p140 :rule beta-reduce :args ((= (_ @t45 @t41) @t190))) 120.92/121.15 (step @p141 :rule refl :args (@t48)) 120.92/121.15 (step @p142 :rule ho_cong :premises (@p141 @p140)) 120.92/121.15 (step @p143 :rule trans :premises (@p142 @p139)) 120.92/121.15 (step @p144 :rule ho_cong :premises (@p143 @p133)) 120.92/121.15 (step @p145 :rule trans :premises (@p144 @p132)) 120.92/121.15 (step @p146 :rule ho_cong :premises (@p145 @p88)) 120.92/121.15 (step @p147 :rule trans :premises (@p146 @p131)) 120.92/121.15 (step @p148 :rule refl :args (@t41)) 120.92/121.15 (step @p149 :rule ho_cong :premises (@p43 @p148)) 120.92/121.15 (step @p150 :rule ho_cong :premises (@p44 @p149)) 120.92/121.15 (step @p151 :rule ho_cong :premises (@p150 @p133)) 120.92/121.15 (step @p152 :rule ho_cong :premises (@p151 @p88)) 120.92/121.15 (step @p153 :rule trans :premises (@p152 @p147)) 120.92/121.15 (step @p154 :rule cong :premises (@p153) :args (@t54)) 120.92/121.15 (step @p155 :rule trans :premises (@p46 @p154)) 120.92/121.15 (step @p156 :rule ho_cong :premises (@p155 @p130)) 120.92/121.15 (step @p157 :rule ho_cong :premises (@p156 @p114)) 120.92/121.15 (step @p158 :rule refl :args (tptp.a2)) 120.92/121.15 (step @p159 :rule refl :args (@t174)) 120.92/121.15 (step @p160 :rule refl :args (@t76)) 120.92/121.15 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t76 @t174))) 120.92/121.15 (step @p162 :rule symm :premises (@p161)) 120.92/121.15 (step @p163 :rule eq_resolve :premises (@p160 @p162)) 120.92/121.15 (step @p164 :rule refl :args (@t183)) 120.92/121.15 (step @p165 :rule refl :args (@t78)) 120.92/121.15 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t78 @t183))) 120.92/121.15 (step @p167 :rule symm :premises (@p166)) 120.92/121.15 (step @p168 :rule eq_resolve :premises (@p165 @p167)) 120.92/121.15 (step @p169 :rule cong :premises (@p168) :args (@t79)) 120.92/121.15 (step @p170 :rule nary_cong :premises (@p169 @p163) :args (@t80)) 120.92/121.15 (step @p171 :rule cong :premises (@p170) :args (@t82)) 120.92/121.15 (step @p172 :rule cong :premises (@p171) :args (@t84)) 120.92/121.15 (step @p173 :rule trans :premises (@p55 @p172)) 120.92/121.15 (step @p174 :rule ho_cong :premises (@p173 @p158)) 120.92/121.15 (step @p175 :rule ho_cong :premises (@p174 @p157)) 120.92/121.15 (step @p176 :rule ho_cong :premises (@p175 @p88)) 120.92/121.15 (step @p177 :rule cong :premises (@p176) :args (@t24)) 120.92/121.15 (step @p178 :rule refl :args (@t159)) 120.92/121.15 (step @p179 :rule refl :args (@t60)) 120.92/121.15 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t60 @t159))) 120.92/121.15 (step @p181 :rule symm :premises (@p180)) 120.92/121.15 (step @p182 :rule eq_resolve :premises (@p179 @p181)) 120.92/121.15 (step @p183 :rule cong :premises (@p182) :args (@t62)) 120.92/121.15 (step @p184 :rule cong :premises (@p183) :args (@t64)) 120.92/121.15 (step @p185 :rule trans :premises (@p50 @p184)) 120.92/121.15 (step @p186 :rule ho_cong :premises (@p185 @p177)) 120.92/121.15 (step @p187 :rule refl :args (@t150)) 120.92/121.15 (step @p188 :rule refl :args (@t42)) 120.92/121.15 (step @p189 :rule cong :premises (@p188 @p187) :args ((= @t42 @t150))) 120.92/121.15 (step @p190 :rule symm :premises (@p189)) 120.92/121.15 (step @p191 :rule eq_resolve :premises (@p188 @p190)) 120.92/121.15 (step @p192 :rule cong :premises (@p191) :args (@t117)) 120.92/121.15 (step @p193 :rule cong :premises (@p192) :args (@t119)) 120.92/121.15 (step @p194 :rule trans :premises (@p67 @p193)) 120.92/121.15 (step @p195 :rule ho_cong :premises (@p194 @p186)) 120.92/121.15 (step @p196 :rule trans :premises (@p195 @p129)) 120.92/121.15 (step @p197 :rule trans :premises (@p196 @p73)) 120.92/121.15 (step @p198 :rule eq_resolve :premises (@p19 @p197)) 120.92/121.15 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.15 (step @p199 :rule trust :premises () :args ((= @t199 (forall @t196 (or @t137 (_ @t134 @t195 @t75)))))) 120.92/121.15 (step @p200 :rule quant-merge-prenex :args ((= (forall @t73 @t200) @t199))) 120.92/121.15 (step @p201 :rule beta-reduce :args ((= @t202 @t200))) 120.92/121.15 (step @p202 :rule cong :premises (@p201) :args (@t203)) 120.92/121.15 (step @p203 :rule trans :premises (@p202 @p200)) 120.92/121.15 (step @p204 :rule beta-reduce :args ((= (_ @t151 @t201) @t203))) 120.92/121.15 (step @p205 :rule trans :premises (@p204 @p203)) 120.92/121.15 (step @p206 :rule refl :args (@t197)) 120.92/121.15 (step @p207 :rule refl :args (@t204)) 120.92/121.15 (step @p208 :rule cong :premises (@p207 @p206) :args ((= @t204 @t197))) 120.92/121.15 (step @p209 :rule symm :premises (@p208)) 120.92/121.15 (step @p210 :rule eq_resolve :premises (@p207 @p209)) 120.92/121.15 (step @p211 :rule nary_cong :premises (@p100 @p210) :args (@t205)) 120.92/121.15 (step @p212 :rule cong :premises (@p211) :args ((forall @t81 @t205))) 120.92/121.15 (step @p213 :rule refl :args (@t206)) 120.92/121.15 (step @p214 :rule nary_cong :premises (@p105 @p213) :args (@t207)) 120.92/121.15 (step @p215 :rule cong :premises (@p214) :args (@t208)) 120.92/121.15 (step @p216 :rule trans :premises (@p215 @p212)) 120.92/121.15 (step @p217 :rule cong :premises (@p216) :args (@t209)) 120.92/121.15 (step @p218 :rule beta-reduce :args ((= (_ @t175 @t34) @t209))) 120.92/121.15 (step @p219 :rule trans :premises (@p218 @p217)) 120.92/121.15 (step @p220 :rule refl :args (@t34)) 120.92/121.15 (step @p221 :rule ho_cong :premises (@p118 @p220)) 120.92/121.15 (step @p222 :rule trans :premises (@p221 @p219)) 120.92/121.15 (step @p223 :rule ho_cong :premises (@p127 @p222)) 120.92/121.15 (step @p224 :rule trans :premises (@p223 @p205)) 120.92/121.15 (step @p225 :rule ho_cong :premises (@p174 @p220)) 120.92/121.15 (step @p226 :rule ho_cong :premises (@p194 @p225)) 120.92/121.15 (step @p227 :rule trans :premises (@p226 @p224)) 120.92/121.15 (step @p228 :rule trans :premises (@p227 @p199)) 120.92/121.15 (step @p229 :rule eq_resolve :premises (@p30 @p228)) 120.92/121.15 (step @p230 :rule instantiate :premises (@p229) :args ((@list @t218 @t222))) 120.92/121.15 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.15 (step @p231 :rule trust :premises () :args ((= @t239 (forall @t230 (or @t229 (_ @t134 (_ @t133 @t214 @t223) @t75) (not (_ @t134 @t224 @t75)) (not (forall @t227 (or (not (_ @t134 (_ @t136 @t226 @t75) @t225)) (_ @t134 @t224 @t225)))) (not (forall @t220 (or (not (_ @t134 (_ @t136 @t135 @t75) @t210)) (_ @t134 @t224 @t210))))))))) 120.92/121.15 (step @p232 :rule quant-merge-prenex :args ((= (forall @t73 @t240) @t239))) 120.92/121.15 (step @p233 :rule beta-reduce :args ((= @t242 @t240))) 120.92/121.15 (step @p234 :rule cong :premises (@p233) :args (@t243)) 120.92/121.15 (step @p235 :rule trans :premises (@p234 @p232)) 120.92/121.15 (step @p236 :rule beta-reduce :args ((= (_ @t151 @t241) @t243))) 120.92/121.15 (step @p237 :rule trans :premises (@p236 @p235)) 120.92/121.15 (step @p238 :rule quant-merge-prenex :args ((= (forall @t61 @t245) @t240))) 120.92/121.15 (step @p239 :rule beta-reduce :args ((= @t249 @t245))) 120.92/121.15 (step @p240 :rule cong :premises (@p239) :args (@t250)) 120.92/121.15 (step @p241 :rule trans :premises (@p240 @p238)) 120.92/121.15 (step @p242 :rule cong :premises (@p241) :args (@t251)) 120.92/121.15 (step @p243 :rule beta-reduce :args ((= (_ @t161 @t248) @t251))) 120.92/121.15 (step @p244 :rule trans :premises (@p243 @p242)) 120.92/121.15 (step @p245 :rule beta-reduce :args ((= (_ (lambda @t73 @t245) @t1) @t247))) 120.92/121.15 (step @p246 :rule quant-merge-prenex :args ((= (forall @t253 @t252) @t245))) 120.92/121.15 (step @p247 :rule beta-reduce :args ((= @t263 @t252))) 120.92/121.15 (step @p248 :rule cong :premises (@p247) :args (@t264)) 120.92/121.15 (step @p249 :rule trans :premises (@p248 @p246)) 120.92/121.15 (step @p250 :rule cong :premises (@p249) :args (@t265)) 120.92/121.15 (step @p251 :rule beta-reduce :args ((= (_ (lambda @t63 (forall @t253 (_ @t58 @t223 @t36))) @t262) @t265))) 120.92/121.15 (step @p252 :rule trans :premises (@p251 @p250)) 120.92/121.15 (step @p253 :rule refl :args (@t262)) 120.92/121.15 (step @p254 :rule alpha_equiv :args (@t160 @t266 (@list @t223))) 120.92/121.15 (step @p255 :rule cong :premises (@p254) :args (@t161)) 120.92/121.15 (step @p256 :rule ho_cong :premises (@p255 @p253)) 120.92/121.15 (step @p257 :rule trans :premises (@p256 @p252)) 120.92/121.15 (step @p258 :rule beta-reduce :args ((= (_ (lambda @t73 (forall @t81 (or @t237 @t260 @t259 @t257 @t255))) @t1) @t261))) 120.92/121.15 (step @p259 :rule refl :args (@t255)) 120.92/121.15 (step @p260 :rule refl :args (@t257)) 120.92/121.15 (step @p261 :rule refl :args (@t258)) 120.92/121.15 (step @p262 :rule refl :args (@t267)) 120.92/121.15 (step @p263 :rule cong :premises (@p262 @p261) :args ((= @t267 @t258))) 120.92/121.15 (step @p264 :rule symm :premises (@p263)) 120.92/121.15 (step @p265 :rule eq_resolve :premises (@p262 @p264)) 120.92/121.15 (step @p266 :rule cong :premises (@p265) :args (@t268)) 120.92/121.15 (step @p267 :rule refl :args (@t260)) 120.92/121.15 (step @p268 :rule refl :args (@t269)) 120.92/121.15 (step @p269 :rule cong :premises (@p268 @p267) :args ((= @t269 @t260))) 120.92/121.15 (step @p270 :rule symm :premises (@p269)) 120.92/121.15 (step @p271 :rule eq_resolve :premises (@p268 @p270)) 120.92/121.15 (step @p272 :rule refl :args (@t237)) 120.92/121.15 (step @p273 :rule nary_cong :premises (@p272 @p271 @p266 @p260 @p259) :args (@t270)) 120.92/121.15 (step @p274 :rule cong :premises (@p273) :args ((forall @t81 @t270))) 120.92/121.15 (step @p275 :rule aci_norm :args ((= (or @t237 @t271) @t270))) 120.92/121.15 (step @p276 :rule beta-reduce :args ((= (_ (lambda @t168 (or @t30 @t272 (not (forall @t227 (or (not (tptp.a1 @t1 @t225)) @t256))) (not (forall @t220 (or (not (tptp.a2 @t1 @t210)) @t254))))) @t75) @t271))) 120.92/121.15 (step @p277 :rule refl :args (@t75)) 120.92/121.15 (step @p278 :rule alpha_equiv :args (@t273 @t274 (@list @t210))) 120.92/121.15 (step @p279 :rule cong :premises (@p278) :args (@t275)) 120.92/121.15 (step @p280 :rule alpha_equiv :args (@t276 @t274 (@list @t225))) 120.92/121.15 (step @p281 :rule cong :premises (@p280) :args (@t277)) 120.92/121.15 (step @p282 :rule refl :args (@t272)) 120.92/121.15 (step @p283 :rule refl :args (@t30)) 120.92/121.15 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281 @p279) :args (@t278)) 120.92/121.15 (step @p285 :rule cong :premises (@p284) :args (@t279)) 120.92/121.15 (step @p286 :rule ho_cong :premises (@p285 @p277)) 120.92/121.15 (step @p287 :rule trans :premises (@p286 @p276)) 120.92/121.15 (step @p288 :rule refl :args (@t237)) 120.92/121.15 (step @p289 :rule nary_cong :premises (@p288 @p287) :args (@t280)) 120.92/121.15 (step @p290 :rule trans :premises (@p289 @p275)) 120.92/121.15 (step @p291 :rule cong :premises (@p290) :args (@t281)) 120.92/121.15 (step @p292 :rule trans :premises (@p291 @p274)) 120.92/121.15 (step @p293 :rule cong :premises (@p292) :args (@t282)) 120.92/121.15 (step @p294 :rule beta-reduce :args ((= (_ @t283 @t279) @t282))) 120.92/121.15 (step @p295 :rule trans :premises (@p294 @p293)) 120.92/121.15 (step @p296 :rule beta-reduce :args ((= (_ (lambda @t177 @t284) @t12) @t279))) 120.92/121.15 (step @p297 :rule refl :args (@t12)) 120.92/121.15 (step @p298 :rule aci_norm :args ((= (or @t285 @t176) @t284))) 120.92/121.15 (step @p299 :rule refl :args (@t176)) 120.92/121.15 (step @p300 :rule bool-double-not-elim :args (@t285)) 120.92/121.15 (step @p301 :rule beta-reduce :args ((= @t288 @t286))) 120.92/121.15 (step @p302 :rule cong :premises (@p301) :args (@t289)) 120.92/121.15 (step @p303 :rule trans :premises (@p302 @p300)) 120.92/121.15 (step @p304 :rule nary_cong :premises (@p303 @p299) :args (@t290)) 120.92/121.15 (step @p305 :rule trans :premises (@p304 @p298)) 120.92/121.15 (step @p306 :rule cong :premises (@p305) :args (@t291)) 120.92/121.15 (step @p307 :rule beta-reduce :args ((= (_ @t181 @t287) @t291))) 120.92/121.15 (step @p308 :rule trans :premises (@p307 @p306)) 120.92/121.15 (step @p309 :rule aci_norm :args ((= (or @t272 @t292) @t285))) 120.92/121.15 (step @p310 :rule bool-double-not-elim :args (@t292)) 120.92/121.15 (step @p311 :rule beta-reduce :args ((= @t295 @t293))) 120.92/121.15 (step @p312 :rule cong :premises (@p311) :args (@t296)) 120.92/121.15 (step @p313 :rule trans :premises (@p312 @p310)) 120.92/121.15 (step @p314 :rule refl :args (@t272)) 120.92/121.15 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t297)) 120.92/121.15 (step @p316 :rule trans :premises (@p315 @p309)) 120.92/121.15 (step @p317 :rule cong :premises (@p316) :args (@t298)) 120.92/121.15 (step @p318 :rule cong :premises (@p317) :args (@t299)) 120.92/121.15 (step @p319 :rule beta-reduce :args ((= (_ @t301 @t294) @t299))) 120.92/121.15 (step @p320 :rule trans :premises (@p319 @p318)) 120.92/121.15 (step @p321 :rule beta-reduce :args ((= @t303 @t273))) 120.92/121.15 (step @p322 :rule cong :premises (@p321) :args (@t304)) 120.92/121.15 (step @p323 :rule refl :args (@t277)) 120.92/121.15 (step @p324 :rule nary_cong :premises (@p323 @p322) :args (@t305)) 120.92/121.15 (step @p325 :rule cong :premises (@p324) :args (@t306)) 120.92/121.15 (step @p326 :rule cong :premises (@p325) :args (@t307)) 120.92/121.15 (step @p327 :rule beta-reduce :args ((= (_ (lambda @t177 (not (or @t277 @t300))) @t302) @t307))) 120.92/121.15 (step @p328 :rule trans :premises (@p327 @p326)) 120.92/121.15 (step @p329 :rule nary_cong :premises (@p100 @p265) :args (@t308)) 120.92/121.15 (step @p330 :rule cong :premises (@p329) :args ((forall @t81 @t308))) 120.92/121.15 (step @p331 :rule refl :args (@t309)) 120.92/121.15 (step @p332 :rule nary_cong :premises (@p105 @p331) :args (@t310)) 120.92/121.15 (step @p333 :rule cong :premises (@p332) :args (@t311)) 120.92/121.15 (step @p334 :rule trans :premises (@p333 @p330)) 120.92/121.15 (step @p335 :rule cong :premises (@p334) :args (@t312)) 120.92/121.15 (step @p336 :rule beta-reduce :args ((= (_ @t175 @t10) @t312))) 120.92/121.15 (step @p337 :rule trans :premises (@p336 @p335)) 120.92/121.15 (step @p338 :rule refl :args (@t10)) 120.92/121.15 (step @p339 :rule ho_cong :premises (@p118 @p338)) 120.92/121.15 (step @p340 :rule trans :premises (@p339 @p337)) 120.92/121.15 (step @p341 :rule refl :args (@t300)) 120.92/121.15 (step @p342 :rule beta-reduce :args ((= @t315 @t276))) 120.92/121.15 (step @p343 :rule cong :premises (@p342) :args (@t316)) 120.92/121.15 (step @p344 :rule nary_cong :premises (@p343 @p341) :args (@t317)) 120.92/121.15 (step @p345 :rule cong :premises (@p344) :args (@t318)) 120.92/121.15 (step @p346 :rule cong :premises (@p345) :args (@t319)) 120.92/121.15 (step @p347 :rule beta-reduce :args ((= (_ @t321 @t314) @t319))) 120.92/121.15 (step @p348 :rule trans :premises (@p347 @p346)) 120.92/121.15 (step @p349 :rule refl :args (@t313)) 120.92/121.15 (step @p350 :rule nary_cong :premises (@p349 @p265) :args (@t322)) 120.92/121.15 (step @p351 :rule cong :premises (@p350) :args ((forall @t81 @t322))) 120.92/121.15 (step @p352 :rule refl :args (@t313)) 120.92/121.15 (step @p353 :rule nary_cong :premises (@p352 @p331) :args (@t323)) 120.92/121.15 (step @p354 :rule cong :premises (@p353) :args (@t324)) 120.92/121.15 (step @p355 :rule trans :premises (@p354 @p351)) 120.92/121.15 (step @p356 :rule cong :premises (@p355) :args (@t325)) 120.92/121.15 (step @p357 :rule beta-reduce :args ((= (_ @t326 @t10) @t325))) 120.92/121.15 (step @p358 :rule trans :premises (@p357 @p356)) 120.92/121.15 (step @p359 :rule beta-reduce :args ((= @t327 @t326))) 120.92/121.15 (step @p360 :rule ho_cong :premises (@p359 @p338)) 120.92/121.15 (step @p361 :rule trans :premises (@p360 @p358)) 120.92/121.15 (step @p362 :rule refl :args (@t321)) 120.92/121.15 (step @p363 :rule ho_cong :premises (@p362 @p361)) 120.92/121.15 (step @p364 :rule trans :premises (@p363 @p348)) 120.92/121.15 (step @p365 :rule ho_cong :premises (@p364 @p340)) 120.92/121.15 (step @p366 :rule trans :premises (@p365 @p328)) 120.92/121.15 (step @p367 :rule beta-reduce :args ((= @t328 @t301))) 120.92/121.15 (step @p368 :rule ho_cong :premises (@p367 @p366)) 120.92/121.15 (step @p369 :rule trans :premises (@p368 @p320)) 120.92/121.15 (step @p370 :rule refl :args (@t181)) 120.92/121.15 (step @p371 :rule ho_cong :premises (@p370 @p369)) 120.92/121.15 (step @p372 :rule trans :premises (@p371 @p308)) 120.92/121.15 (step @p373 :rule ho_cong :premises (@p372 @p297)) 120.92/121.15 (step @p374 :rule trans :premises (@p373 @p296)) 120.92/121.15 (step @p375 :rule beta-reduce :args ((= @t329 @t283))) 120.92/121.15 (step @p376 :rule ho_cong :premises (@p375 @p374)) 120.92/121.15 (step @p377 :rule trans :premises (@p376 @p295)) 120.92/121.15 (step @p378 :rule ho_cong :premises (@p377 @p88)) 120.92/121.15 (step @p379 :rule trans :premises (@p378 @p258)) 120.92/121.15 (step @p380 :rule cong :premises (@p379) :args (@t330)) 120.92/121.15 (step @p381 :rule ho_cong :premises (@p124 @p380)) 120.92/121.15 (step @p382 :rule trans :premises (@p381 @p257)) 120.92/121.15 (step @p383 :rule ho_cong :premises (@p382 @p88)) 120.92/121.15 (step @p384 :rule trans :premises (@p383 @p245)) 120.92/121.15 (step @p385 :rule cong :premises (@p384) :args ((lambda @t8 (_ (_ @t161 @t330) @t1)))) 120.92/121.15 (step @p386 :rule ho_cong :premises (@p124 @p385)) 120.92/121.15 (step @p387 :rule trans :premises (@p386 @p244)) 120.92/121.15 (step @p388 :rule ho_cong :premises (@p127 @p387)) 120.92/121.15 (step @p389 :rule trans :premises (@p388 @p237)) 120.92/121.15 (step @p390 :rule ho_cong :premises (@p174 @p338)) 120.92/121.15 (step @p391 :rule refl :args (tptp.a1)) 120.92/121.15 (step @p392 :rule ho_cong :premises (@p173 @p391)) 120.92/121.15 (step @p393 :rule ho_cong :premises (@p392 @p338)) 120.92/121.15 (step @p394 :rule beta-reduce :args ((= (_ (lambda @t73 (not @t332)) @t1) @t320))) 120.92/121.15 (step @p395 :rule beta-reduce :args ((= @t334 @t332))) 120.92/121.15 (step @p396 :rule cong :premises (@p395) :args (@t335)) 120.92/121.15 (step @p397 :rule cong :premises (@p396) :args (@t336)) 120.92/121.15 (step @p398 :rule beta-reduce :args ((= (_ @t45 @t333) @t336))) 120.92/121.15 (step @p399 :rule trans :premises (@p398 @p397)) 120.92/121.15 (step @p400 :rule beta-reduce :args ((= @t338 @t331))) 120.92/121.15 (step @p401 :rule refl :args (@t43)) 120.92/121.15 (step @p402 :rule nary_cong :premises (@p401 @p400) :args (@t339)) 120.92/121.16 (step @p403 :rule cong :premises (@p402) :args (@t340)) 120.92/121.16 (step @p404 :rule beta-reduce :args ((= (_ @t189 @t337) @t340))) 120.92/121.16 (step @p405 :rule trans :premises (@p404 @p403)) 120.92/121.16 (step @p406 :rule beta-reduce :args ((= (_ @t45 @t46) @t337))) 120.92/121.16 (step @p407 :rule ho_cong :premises (@p143 @p406)) 120.92/121.16 (step @p408 :rule trans :premises (@p407 @p405)) 120.92/121.16 (step @p409 :rule refl :args (@t45)) 120.92/121.16 (step @p410 :rule ho_cong :premises (@p409 @p408)) 120.92/121.16 (step @p411 :rule trans :premises (@p410 @p399)) 120.92/121.16 (step @p412 :rule ho_cong :premises (@p411 @p88)) 120.92/121.16 (step @p413 :rule trans :premises (@p412 @p394)) 120.92/121.16 (step @p414 :rule ho_cong :premises (@p43 @p133)) 120.92/121.16 (step @p415 :rule ho_cong :premises (@p150 @p414)) 120.92/121.16 (step @p416 :rule ho_cong :premises (@p43 @p415)) 120.92/121.16 (step @p417 :rule ho_cong :premises (@p416 @p88)) 120.92/121.16 (step @p418 :rule trans :premises (@p417 @p413)) 120.92/121.16 (step @p419 :rule cong :premises (@p418) :args (@t53)) 120.92/121.16 (step @p420 :rule trans :premises (@p45 @p419)) 120.92/121.16 (step @p421 :rule ho_cong :premises (@p420 @p393)) 120.92/121.16 (step @p422 :rule ho_cong :premises (@p421 @p390)) 120.92/121.16 (step @p423 :rule ho_cong :premises (@p420 @p338)) 120.92/121.16 (step @p424 :rule ho_cong :premises (@p423 @p422)) 120.92/121.16 (step @p425 :rule ho_cong :premises (@p155 @p424)) 120.92/121.16 (step @p426 :rule ho_cong :premises (@p425 @p297)) 120.92/121.16 (step @p427 :rule refl :args (tptp.a3)) 120.92/121.16 (step @p428 :rule ho_cong :premises (@p173 @p427)) 120.92/121.16 (step @p429 :rule ho_cong :premises (@p428 @p426)) 120.92/121.16 (step @p430 :rule ho_cong :premises (@p429 @p88)) 120.92/121.16 (step @p431 :rule cong :premises (@p430) :args (@t28)) 120.92/121.16 (step @p432 :rule ho_cong :premises (@p185 @p431)) 120.92/121.16 (step @p433 :rule ho_cong :premises (@p432 @p88)) 120.92/121.16 (step @p434 :rule cong :premises (@p433) :args (@t29)) 120.92/121.16 (step @p435 :rule ho_cong :premises (@p185 @p434)) 120.92/121.16 (step @p436 :rule ho_cong :premises (@p194 @p435)) 120.92/121.16 (step @p437 :rule trans :premises (@p436 @p389)) 120.92/121.16 (step @p438 :rule trans :premises (@p437 @p231)) 120.92/121.16 (step @p439 :rule eq_resolve :premises (@p23 @p438)) 120.92/121.16 (step @p440 :rule instantiate :premises (@p439) :args ((@list @t218 tptp.jan tptp.cola @t218))) 120.92/121.16 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.16 (step @p441 :rule trust :premises () :args ((= @t344 (forall @t196 (or (not (_ @t134 (_ @t136 @t226 @t36) @t75)) @t341))))) 120.92/121.16 (step @p442 :rule quant-merge-prenex :args ((= (forall @t73 @t345) @t344))) 120.92/121.16 (step @p443 :rule beta-reduce :args ((= @t347 @t345))) 120.92/121.16 (step @p444 :rule cong :premises (@p443) :args (@t348)) 120.92/121.16 (step @p445 :rule trans :premises (@p444 @p442)) 120.92/121.16 (step @p446 :rule beta-reduce :args ((= (_ @t151 @t346) @t348))) 120.92/121.16 (step @p447 :rule trans :premises (@p446 @p445)) 120.92/121.16 (step @p448 :rule refl :args (@t342)) 120.92/121.16 (step @p449 :rule refl :args (@t349)) 120.92/121.16 (step @p450 :rule cong :premises (@p449 @p448) :args ((= @t349 @t342))) 120.92/121.16 (step @p451 :rule symm :premises (@p450)) 120.92/121.16 (step @p452 :rule eq_resolve :premises (@p449 @p451)) 120.92/121.16 (step @p453 :rule nary_cong :premises (@p349 @p452) :args (@t350)) 120.92/121.16 (step @p454 :rule cong :premises (@p453) :args ((forall @t81 @t350))) 120.92/121.16 (step @p455 :rule refl :args (@t351)) 120.92/121.16 (step @p456 :rule nary_cong :premises (@p352 @p455) :args (@t352)) 120.92/121.16 (step @p457 :rule cong :premises (@p456) :args (@t353)) 120.92/121.16 (step @p458 :rule trans :premises (@p457 @p454)) 120.92/121.16 (step @p459 :rule cong :premises (@p458) :args (@t354)) 120.92/121.16 (step @p460 :rule beta-reduce :args ((= (_ @t326 @t17) @t354))) 120.92/121.16 (step @p461 :rule trans :premises (@p460 @p459)) 120.92/121.16 (step @p462 :rule refl :args (@t17)) 120.92/121.16 (step @p463 :rule ho_cong :premises (@p359 @p462)) 120.92/121.16 (step @p464 :rule trans :premises (@p463 @p461)) 120.92/121.16 (step @p465 :rule ho_cong :premises (@p127 @p464)) 120.92/121.16 (step @p466 :rule trans :premises (@p465 @p447)) 120.92/121.16 (step @p467 :rule ho_cong :premises (@p392 @p462)) 120.92/121.16 (step @p468 :rule ho_cong :premises (@p194 @p467)) 120.92/121.16 (step @p469 :rule trans :premises (@p468 @p466)) 120.92/121.16 (step @p470 :rule trans :premises (@p469 @p441)) 120.92/121.16 (step @p471 :rule eq_resolve :premises (@p7 @p470)) 120.92/121.16 (step @p472 :rule instantiate :premises (@p471) :args ((@list @t218 @t357))) 120.92/121.16 (step @p473 :rule refl :args (@t359)) 120.92/121.16 (step @p474 :rule bool-double-not-elim :args (@t356)) 120.92/121.16 (step @p475 :rule nary_cong :premises (@p474 @p473) :args ((or (not @t360) @t359))) 120.92/121.16 (assume-push @p808 @t360) 120.92/121.16 (step @p477 :rule skolemize :premises (@p808)) 120.92/121.16 (step-pop @p808 :rule scope :premises (@p477)) 120.92/121.16 (step @p478 :rule process_scope :premises (@p808) :args (@t359)) 120.92/121.16 (step @p480 :rule implies_elim :premises (@p478)) 120.92/121.16 (step @p481 :rule eq_resolve :premises (@p480 @p475)) 120.92/121.16 (step @p482 :rule chain_resolution :premises (@p481 @p472) :args ((@list false) (@list @t358))) 120.92/121.16 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.16 (step @p483 :rule trust :premises () :args ((= (not (forall @t73 @t362)) @t361))) 120.92/121.16 (step @p484 :rule beta-reduce :args ((= @t367 @t362))) 120.92/121.16 (step @p485 :rule cong :premises (@p484) :args (@t368)) 120.92/121.16 (step @p486 :rule beta-reduce :args ((= (_ @t151 @t366) @t368))) 120.92/121.16 (step @p487 :rule trans :premises (@p486 @p485)) 120.92/121.16 (step @p488 :rule quant-merge-prenex :args ((= (forall @t61 @t370) @t365))) 120.92/121.16 (step @p489 :rule bool-double-not-elim :args (@t370)) 120.92/121.16 (step @p490 :rule beta-reduce :args ((= @t373 @t371))) 120.92/121.16 (step @p491 :rule cong :premises (@p490) :args (@t374)) 120.92/121.16 (step @p492 :rule trans :premises (@p491 @p489)) 120.92/121.16 (step @p493 :rule cong :premises (@p492) :args (@t375)) 120.92/121.16 (step @p494 :rule trans :premises (@p493 @p488)) 120.92/121.16 (step @p495 :rule cong :premises (@p494) :args (@t376)) 120.92/121.16 (step @p496 :rule cong :premises (@p495) :args (@t377)) 120.92/121.16 (step @p497 :rule beta-reduce :args ((= (_ @t380 @t372) @t377))) 120.92/121.16 (step @p498 :rule trans :premises (@p497 @p496)) 120.92/121.16 (step @p499 :rule beta-reduce :args ((= (_ (lambda @t168 @t371) @t1) @t371))) 120.92/121.16 (step @p500 :rule refl :args (@t363)) 120.92/121.16 (step @p501 :rule refl :args (@t381)) 120.92/121.16 (step @p502 :rule cong :premises (@p501 @p500) :args ((= @t381 @t363))) 120.92/121.16 (step @p503 :rule symm :premises (@p502)) 120.92/121.16 (step @p504 :rule eq_resolve :premises (@p501 @p503)) 120.92/121.16 (step @p505 :rule cong :premises (@p504) :args (@t382)) 120.92/121.16 (step @p506 :rule cong :premises (@p505) :args ((forall @t369 @t382))) 120.92/121.16 (step @p507 :rule beta-reduce :args ((= @t383 @t381))) 120.92/121.16 (step @p508 :rule cong :premises (@p507) :args (@t384)) 120.92/121.16 (step @p509 :rule cong :premises (@p508) :args (@t385)) 120.92/121.16 (step @p510 :rule trans :premises (@p509 @p506)) 120.92/121.16 (step @p511 :rule cong :premises (@p510) :args (@t386)) 120.92/121.16 (step @p512 :rule cong :premises (@p511) :args (@t387)) 120.92/121.16 (step @p513 :rule beta-reduce :args ((= (_ (lambda @t70 (not (forall @t369 (not (_ @t58 @t212 @t1))))) @t31) @t387))) 120.92/121.16 (step @p514 :rule trans :premises (@p513 @p512)) 120.92/121.16 (step @p515 :rule refl :args (@t31)) 120.92/121.16 (step @p516 :rule alpha_equiv :args (@t378 @t266 (@list @t212))) 120.92/121.16 (step @p517 :rule cong :premises (@p516) :args (@t379)) 120.92/121.16 (step @p518 :rule cong :premises (@p517) :args (@t380)) 120.92/121.16 (step @p519 :rule ho_cong :premises (@p518 @p515)) 120.92/121.16 (step @p520 :rule trans :premises (@p519 @p514)) 120.92/121.16 (step @p521 :rule ho_cong :premises (@p520 @p88)) 120.92/121.16 (step @p522 :rule trans :premises (@p521 @p499)) 120.92/121.16 (step @p523 :rule cong :premises (@p522) :args (@t388)) 120.92/121.16 (step @p524 :rule refl :args (@t380)) 120.92/121.16 (step @p525 :rule ho_cong :premises (@p524 @p523)) 120.92/121.16 (step @p526 :rule trans :premises (@p525 @p498)) 120.92/121.16 (step @p527 :rule ho_cong :premises (@p127 @p526)) 120.92/121.16 (step @p528 :rule trans :premises (@p527 @p487)) 120.92/121.16 (step @p529 :rule cong :premises (@p528) :args ((not (_ @t151 (_ @t380 @t388))))) 120.92/121.16 (step @p530 :rule refl :args (@t31)) 120.92/121.16 (step @p531 :rule beta-reduce :args ((= (_ (lambda @t73 (not @t389)) @t1) @t379))) 120.92/121.16 (step @p532 :rule beta-reduce :args ((= @t391 @t389))) 120.92/121.16 (step @p533 :rule cong :premises (@p532) :args (@t392)) 120.92/121.16 (step @p534 :rule cong :premises (@p533) :args (@t393)) 120.92/121.16 (step @p535 :rule beta-reduce :args ((= (_ @t45 @t390) @t393))) 120.92/121.16 (step @p536 :rule trans :premises (@p535 @p534)) 120.92/121.16 (step @p537 :rule cong :premises (@p182) :args (@t394)) 120.92/121.16 (step @p538 :rule cong :premises (@p537) :args ((forall @t61 @t394))) 120.92/121.16 (step @p539 :rule beta-reduce :args ((= @t397 @t394))) 120.92/121.16 (step @p540 :rule cong :premises (@p539) :args (@t398)) 120.92/121.16 (step @p541 :rule trans :premises (@p540 @p538)) 120.92/121.16 (step @p542 :rule cong :premises (@p541) :args (@t399)) 120.92/121.16 (step @p543 :rule beta-reduce :args ((= (_ @t161 @t396) @t399))) 120.92/121.16 (step @p544 :rule trans :premises (@p543 @p542)) 120.92/121.16 (step @p545 :rule beta-reduce :args ((= (_ @t400 @t1) @t395))) 120.92/121.16 (step @p546 :rule beta-reduce :args ((= @t401 @t400))) 120.92/121.16 (step @p547 :rule ho_cong :premises (@p546 @p88)) 120.92/121.16 (step @p548 :rule trans :premises (@p547 @p545)) 120.92/121.16 (step @p549 :rule cong :premises (@p548) :args ((lambda @t8 (_ @t401 @t1)))) 120.92/121.16 (step @p550 :rule ho_cong :premises (@p124 @p549)) 120.92/121.16 (step @p551 :rule trans :premises (@p550 @p544)) 120.92/121.16 (step @p552 :rule ho_cong :premises (@p409 @p551)) 120.92/121.16 (step @p553 :rule trans :premises (@p552 @p536)) 120.92/121.16 (step @p554 :rule ho_cong :premises (@p553 @p88)) 120.92/121.16 (step @p555 :rule trans :premises (@p554 @p531)) 120.92/121.16 (step @p556 :rule refl :args (@t59)) 120.92/121.16 (step @p557 :rule ho_cong :premises (@p43 @p556)) 120.92/121.16 (step @p558 :rule ho_cong :premises (@p557 @p88)) 120.92/121.16 (step @p559 :rule cong :premises (@p558) :args (@t69)) 120.92/121.16 (step @p560 :rule ho_cong :premises (@p185 @p559)) 120.92/121.16 (step @p561 :rule ho_cong :premises (@p43 @p560)) 120.92/121.16 (step @p562 :rule ho_cong :premises (@p561 @p88)) 120.92/121.16 (step @p563 :rule trans :premises (@p562 @p555)) 120.92/121.16 (step @p564 :rule cong :premises (@p563) :args (@t71)) 120.92/121.16 (step @p565 :rule trans :premises (@p52 @p564)) 120.92/121.16 (step @p566 :rule ho_cong :premises (@p565 @p530)) 120.92/121.16 (step @p567 :rule ho_cong :premises (@p566 @p88)) 120.92/121.16 (step @p568 :rule cong :premises (@p567) :args (@t32)) 120.92/121.16 (step @p569 :rule ho_cong :premises (@p565 @p568)) 120.92/121.16 (step @p570 :rule ho_cong :premises (@p194 @p569)) 120.92/121.16 (step @p571 :rule cong :premises (@p570) :args (@t33)) 120.92/121.16 (step @p572 :rule trans :premises (@p571 @p529)) 120.92/121.16 (step @p573 :rule trans :premises (@p572 @p483)) 120.92/121.16 (step @p574 :rule eq_resolve :premises (@p26 @p573)) 120.92/121.16 (step @p575 :rule refl :args (@t402)) 120.92/121.16 (step @p576 :rule bool-double-not-elim :args (@t217)) 120.92/121.16 (step @p577 :rule nary_cong :premises (@p576 @p575) :args ((or (not @t361) @t402))) 120.92/121.16 (step @p578 :rule bool-double-not-elim :args (@t402)) 120.92/121.16 (step @p579 :rule refl :args (@t361)) 120.92/121.16 (step @p580 :rule cong :premises (@p579 @p578) :args ((=> @t361 @t403))) 120.92/121.16 (assume-push @p810 @t361) 120.92/121.16 (step @p582 :rule skolemize :premises (@p574)) 120.92/121.16 (step-pop @p810 :rule scope :premises (@p582)) 120.92/121.16 (step @p583 :rule process_scope :premises (@p810) :args (@t403)) 120.92/121.16 (step @p585 :rule eq_resolve :premises (@p583 @p580)) 120.92/121.16 (step @p586 :rule implies_elim :premises (@p585)) 120.92/121.16 (step @p587 :rule eq_resolve :premises (@p586 @p577)) 120.92/121.16 (step @p588 :rule chain_resolution :premises (@p587 @p574) :args (@t404 (@list @t217))) 120.92/121.16 (step @p589 :rule instantiate :premises (@p588) :args ((@list tptp.jan tptp.cola))) 120.92/121.16 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.16 (step @p590 :rule trust :premises () :args ((= @t409 (forall @t103 (or @t407 (not (_ @t134 @t406 @t100)) (_ @t134 @t405 @t100)))))) 120.92/121.16 (step @p591 :rule beta-reduce :args ((= (_ (lambda @t89 (forall @t103 (or @t413 (not @t411) @t410))) tptp.a3) @t409))) 120.92/121.16 (step @p592 :rule refl :args (@t410)) 120.92/121.16 (step @p593 :rule refl :args (@t102)) 120.92/121.16 (step @p594 :rule cong :premises (@p593 @p592) :args ((= @t102 @t410))) 120.92/121.16 (step @p595 :rule symm :premises (@p594)) 120.92/121.16 (step @p596 :rule eq_resolve :premises (@p593 @p595)) 120.92/121.16 (step @p597 :rule refl :args (@t411)) 120.92/121.16 (step @p598 :rule refl :args (@t101)) 120.92/121.16 (step @p599 :rule cong :premises (@p598 @p597) :args ((= @t101 @t411))) 120.92/121.16 (step @p600 :rule symm :premises (@p599)) 120.92/121.16 (step @p601 :rule eq_resolve :premises (@p598 @p600)) 120.92/121.16 (step @p602 :rule cong :premises (@p601) :args (@t414)) 120.92/121.16 (step @p603 :rule refl :args (@t412)) 120.92/121.16 (step @p604 :rule refl :args (@t94)) 120.92/121.16 (step @p605 :rule cong :premises (@p604 @p603) :args ((= @t94 @t412))) 120.92/121.16 (step @p606 :rule symm :premises (@p605)) 120.92/121.16 (step @p607 :rule eq_resolve :premises (@p604 @p606)) 120.92/121.16 (step @p608 :rule cong :premises (@p607) :args (@t415)) 120.92/121.16 (step @p609 :rule nary_cong :premises (@p608 @p602 @p596) :args (@t416)) 120.92/121.16 (step @p610 :rule cong :premises (@p609) :args ((forall @t103 @t416))) 120.92/121.16 (step @p611 :rule aci_norm :args ((= (or (or @t415 @t414) @t102) @t416))) 120.92/121.16 (step @p612 :rule bool-and-de-morgan :args (@t94 @t101 true)) 120.92/121.16 (step @p613 :rule nary_cong :premises (@p612 @p593) :args ((or (not @t105) @t102))) 120.92/121.16 (step @p614 :rule trans :premises (@p613 @p611)) 120.92/121.16 (step @p615 :rule bool-impl-elim :args (@t105 @t102)) 120.92/121.16 (step @p616 :rule trans :premises (@p615 @p614)) 120.92/121.16 (step @p617 :rule cong :premises (@p616) :args (@t106)) 120.92/121.16 (step @p618 :rule trans :premises (@p617 @p610)) 120.92/121.16 (step @p619 :rule cong :premises (@p618) :args (@t107)) 120.92/121.16 (step @p620 :rule trans :premises (@p61 @p619)) 120.92/121.16 (step @p621 :rule ho_cong :premises (@p620 @p427)) 120.92/121.16 (step @p622 :rule trans :premises (@p621 @p591)) 120.92/121.16 (step @p623 :rule trans :premises (@p622 @p590)) 120.92/121.16 (step @p624 :rule eq_resolve :premises (@p10 @p623)) 120.92/121.16 (step @p625 :rule instantiate :premises (@p624) :args ((@list @t420 @t218 @t218))) 120.92/121.16 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.16 (step @p626 :rule trust :premises () :args ((= @t421 (forall @t95 (or @t407 (_ @t134 @t405 @t86)))))) 120.92/121.16 (step @p627 :rule beta-reduce :args ((= (_ (lambda @t89 (forall @t95 (or @t413 @t422))) tptp.a3) @t421))) 120.92/121.16 (step @p628 :rule refl :args (@t422)) 120.92/121.16 (step @p629 :rule refl :args (@t93)) 120.92/121.16 (step @p630 :rule cong :premises (@p629 @p628) :args ((= @t93 @t422))) 120.92/121.16 (step @p631 :rule symm :premises (@p630)) 120.92/121.16 (step @p632 :rule eq_resolve :premises (@p629 @p631)) 120.92/121.16 (step @p633 :rule nary_cong :premises (@p608 @p632) :args (@t423)) 120.92/121.16 (step @p634 :rule cong :premises (@p633) :args ((forall @t95 @t423))) 120.92/121.16 (step @p635 :rule bool-impl-elim :args (@t94 @t93)) 120.92/121.16 (step @p636 :rule cong :premises (@p635) :args (@t96)) 120.92/121.16 (step @p637 :rule trans :premises (@p636 @p634)) 120.92/121.16 (step @p638 :rule cong :premises (@p637) :args (@t97)) 120.92/121.16 (step @p639 :rule trans :premises (@p58 @p638)) 120.92/121.16 (step @p640 :rule ho_cong :premises (@p639 @p427)) 120.92/121.16 (step @p641 :rule trans :premises (@p640 @p627)) 120.92/121.16 (step @p642 :rule trans :premises (@p641 @p626)) 120.92/121.16 (step @p643 :rule eq_resolve :premises (@p17 @p642)) 120.92/121.16 (step @p644 :rule instantiate :premises (@p643) :args ((@list @t218 @t420))) 120.92/121.16 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.16 (step @p645 :rule trust :premises () :args ((= @t431 (forall @t426 (or (not (forall @t81 (or @t229 (_ @t134 @t425 @t75)))) (_ @t134 @t425 @t36)))))) 120.92/121.16 (step @p646 :rule quant-merge-prenex :args ((= (forall @t73 @t432) @t431))) 120.92/121.16 (step @p647 :rule beta-reduce :args ((= @t434 @t432))) 120.92/121.16 (step @p648 :rule cong :premises (@p647) :args (@t435)) 120.92/121.16 (step @p649 :rule trans :premises (@p648 @p646)) 120.92/121.16 (step @p650 :rule beta-reduce :args ((= (_ @t151 @t433) @t435))) 120.92/121.16 (step @p651 :rule trans :premises (@p650 @p649)) 120.92/121.16 (step @p652 :rule quant-merge-prenex :args ((= (forall @t61 @t437) @t432))) 120.92/121.16 (step @p653 :rule beta-reduce :args ((= @t440 @t437))) 120.92/121.16 (step @p654 :rule cong :premises (@p653) :args (@t441)) 120.92/121.16 (step @p655 :rule trans :premises (@p654 @p652)) 120.92/121.16 (step @p656 :rule cong :premises (@p655) :args (@t442)) 120.92/121.16 (step @p657 :rule beta-reduce :args ((= (_ @t161 @t439) @t442))) 120.92/121.16 (step @p658 :rule trans :premises (@p657 @p656)) 120.92/121.16 (step @p659 :rule beta-reduce :args ((= (_ (lambda @t73 @t437) @t1) @t438))) 120.92/121.16 (step @p660 :rule refl :args (@t427)) 120.92/121.16 (step @p661 :rule refl :args (@t443)) 120.92/121.16 (step @p662 :rule cong :premises (@p661 @p660) :args ((= @t443 @t427))) 120.92/121.16 (step @p663 :rule symm :premises (@p662)) 120.92/121.16 (step @p664 :rule eq_resolve :premises (@p661 @p663)) 120.92/121.16 (step @p665 :rule refl :args (@t429)) 120.92/121.16 (step @p666 :rule nary_cong :premises (@p665 @p664) :args (@t444)) 120.92/121.16 (step @p667 :rule cong :premises (@p666) :args ((forall @t436 @t444))) 120.92/121.16 (step @p668 :rule beta-reduce :args ((= @t449 @t444))) 120.92/121.16 (step @p669 :rule cong :premises (@p668) :args (@t450)) 120.92/121.16 (step @p670 :rule trans :premises (@p669 @p667)) 120.92/121.16 (step @p671 :rule cong :premises (@p670) :args (@t451)) 120.92/121.16 (step @p672 :rule beta-reduce :args ((= (_ (lambda @t63 (forall @t436 (_ @t58 @t424 @t36))) @t448) @t451))) 120.92/121.16 (step @p673 :rule trans :premises (@p672 @p671)) 120.92/121.16 (step @p674 :rule refl :args (@t448)) 120.92/121.16 (step @p675 :rule alpha_equiv :args (@t160 @t266 (@list @t424))) 120.92/121.16 (step @p676 :rule cong :premises (@p675) :args (@t161)) 120.92/121.16 (step @p677 :rule ho_cong :premises (@p676 @p674)) 120.92/121.16 (step @p678 :rule trans :premises (@p677 @p673)) 120.92/121.16 (step @p679 :rule beta-reduce :args ((= (_ @t452 @t1) @t447))) 120.92/121.16 (step @p680 :rule beta-reduce :args ((= (_ (lambda @t177 (or @t446 @t176)) @t12) @t452))) 120.92/121.16 (step @p681 :rule beta-reduce :args ((= @t454 @t445))) 120.92/121.16 (step @p682 :rule cong :premises (@p681) :args (@t455)) 120.92/121.16 (step @p683 :rule nary_cong :premises (@p682 @p299) :args (@t456)) 120.92/121.16 (step @p684 :rule cong :premises (@p683) :args (@t457)) 120.92/121.16 (step @p685 :rule beta-reduce :args ((= (_ @t181 @t453) @t457))) 120.92/121.16 (step @p686 :rule trans :premises (@p685 @p684)) 120.92/121.16 (step @p687 :rule nary_cong :premises (@p272 @p271) :args (@t458)) 120.92/121.16 (step @p688 :rule cong :premises (@p687) :args ((forall @t81 @t458))) 120.92/121.16 (step @p689 :rule refl :args (@t459)) 120.92/121.16 (step @p690 :rule nary_cong :premises (@p288 @p689) :args (@t460)) 120.92/121.16 (step @p691 :rule cong :premises (@p690) :args (@t461)) 120.92/121.16 (step @p692 :rule trans :premises (@p691 @p688)) 120.92/121.16 (step @p693 :rule cong :premises (@p692) :args (@t462)) 120.92/121.16 (step @p694 :rule beta-reduce :args ((= (_ @t283 @t12) @t462))) 120.92/121.16 (step @p695 :rule trans :premises (@p694 @p693)) 120.92/121.16 (step @p696 :rule ho_cong :premises (@p375 @p297)) 120.92/121.16 (step @p697 :rule trans :premises (@p696 @p695)) 120.92/121.16 (step @p698 :rule ho_cong :premises (@p370 @p697)) 120.92/121.16 (step @p699 :rule trans :premises (@p698 @p686)) 120.92/121.16 (step @p700 :rule ho_cong :premises (@p699 @p297)) 120.92/121.16 (step @p701 :rule trans :premises (@p700 @p680)) 120.92/121.16 (step @p702 :rule ho_cong :premises (@p701 @p88)) 120.92/121.16 (step @p703 :rule trans :premises (@p702 @p679)) 120.92/121.16 (step @p704 :rule cong :premises (@p703) :args (@t463)) 120.92/121.16 (step @p705 :rule ho_cong :premises (@p124 @p704)) 120.92/121.16 (step @p706 :rule trans :premises (@p705 @p678)) 120.92/121.16 (step @p707 :rule ho_cong :premises (@p706 @p88)) 120.92/121.16 (step @p708 :rule trans :premises (@p707 @p659)) 120.92/121.16 (step @p709 :rule cong :premises (@p708) :args ((lambda @t8 (_ (_ @t161 @t463) @t1)))) 120.92/121.16 (step @p710 :rule ho_cong :premises (@p124 @p709)) 120.92/121.16 (step @p711 :rule trans :premises (@p710 @p658)) 120.92/121.16 (step @p712 :rule ho_cong :premises (@p127 @p711)) 120.92/121.16 (step @p713 :rule trans :premises (@p712 @p651)) 120.92/121.16 (step @p714 :rule ho_cong :premises (@p428 @p297)) 120.92/121.16 (step @p715 :rule ho_cong :premises (@p155 @p714)) 120.92/121.16 (step @p716 :rule ho_cong :premises (@p715 @p297)) 120.92/121.16 (step @p717 :rule ho_cong :premises (@p716 @p88)) 120.92/121.16 (step @p718 :rule cong :premises (@p717) :args (@t26)) 120.92/121.16 (step @p719 :rule ho_cong :premises (@p185 @p718)) 120.92/121.16 (step @p720 :rule ho_cong :premises (@p719 @p88)) 120.92/121.16 (step @p721 :rule cong :premises (@p720) :args (@t27)) 120.92/121.16 (step @p722 :rule ho_cong :premises (@p185 @p721)) 120.92/121.16 (step @p723 :rule ho_cong :premises (@p194 @p722)) 120.92/121.16 (step @p724 :rule trans :premises (@p723 @p713)) 120.92/121.16 (step @p725 :rule trans :premises (@p724 @p645)) 120.92/121.16 (step @p726 :rule eq_resolve :premises (@p20 @p725)) 120.92/121.16 (step @p727 :rule instantiate :premises (@p726) :args ((@list @t218 tptp.jan tptp.cola))) 120.92/121.16 (step @p728 :rule cnf_or_pos :args (@t466)) 120.92/121.16 (step @p729 :rule reordering :premises (@p728) :args ((or @t464 @t465 (not @t466)))) 120.92/121.16 (step @p730 :rule chain_resolution :premises (@p729 @p589 @p727) :args (@t467 (@list @t464 @t466))) 120.92/121.16 (step @p731 :rule skolemize :premises (@p730)) 120.92/121.16 (step @p732 :rule bool-double-not-elim :args (@t468)) 120.92/121.16 (step @p733 :rule refl :args (@t470)) 120.92/121.16 (step @p734 :rule nary_cong :premises (@p733 @p732) :args ((or @t470 (not @t469)))) 120.92/121.16 (step @p735 :rule cnf_or_neg :args (@t470 0)) 120.92/121.16 (step @p736 :rule eq_resolve :premises (@p735 @p734)) 120.92/121.16 (step @p737 :rule reordering :premises (@p736) :args ((or @t468 @t470))) 120.92/121.16 (step @p738 :rule chain_resolution :premises (@p737 @p731) :args (@t404 (@list @t470))) 120.92/121.16 (step @p739 :rule cnf_or_pos :args (@t472)) 120.92/121.16 (step @p740 :rule reordering :premises (@p739) :args ((or @t469 @t471 (not @t472)))) 120.92/121.16 (step @p741 :rule chain_resolution :premises (@p740 @p738 @p644) :args (@t473 (@list @t468 @t472))) 120.92/121.16 (step @p742 :rule cnf_or_pos :args (@t476)) 120.92/121.16 (step @p743 :rule factoring :premises (@p742)) 120.92/121.16 (step @p744 :rule reordering :premises (@p743) :args ((or @t474 @t475 (not @t476)))) 120.92/121.16 (step @p745 :rule chain_resolution :premises (@p744 @p741 @p625) :args (@t473 (@list @t471 @t476))) 120.92/121.16 ; trust TRUST PREPROCESS_HO_ELIM 120.92/121.16 (step @p746 :rule trust :premises () :args ((= @t478 (forall @t196 (or @t229 @t341))))) 120.92/121.16 (step @p747 :rule quant-merge-prenex :args ((= (forall @t73 @t479) @t478))) 120.92/121.16 (step @p748 :rule beta-reduce :args ((= @t481 @t479))) 120.92/121.16 (step @p749 :rule cong :premises (@p748) :args (@t482)) 120.92/121.16 (step @p750 :rule trans :premises (@p749 @p747)) 120.92/121.16 (step @p751 :rule beta-reduce :args ((= (_ @t151 @t480) @t482))) 120.92/121.16 (step @p752 :rule trans :premises (@p751 @p750)) 120.92/121.16 (step @p753 :rule nary_cong :premises (@p272 @p452) :args (@t483)) 120.92/121.16 (step @p754 :rule cong :premises (@p753) :args ((forall @t81 @t483))) 120.92/121.16 (step @p755 :rule nary_cong :premises (@p288 @p455) :args (@t484)) 120.92/121.16 (step @p756 :rule cong :premises (@p755) :args (@t485)) 120.92/121.16 (step @p757 :rule trans :premises (@p756 @p754)) 120.92/121.16 (step @p758 :rule cong :premises (@p757) :args (@t486)) 120.92/121.16 (step @p759 :rule beta-reduce :args ((= (_ @t283 @t17) @t486))) 120.92/121.16 (step @p760 :rule trans :premises (@p759 @p758)) 120.92/121.16 (step @p761 :rule ho_cong :premises (@p375 @p462)) 120.92/121.16 (step @p762 :rule trans :premises (@p761 @p760)) 120.92/121.16 (step @p763 :rule ho_cong :premises (@p127 @p762)) 120.92/121.16 (step @p764 :rule trans :premises (@p763 @p752)) 120.92/121.16 (step @p765 :rule ho_cong :premises (@p428 @p462)) 120.92/121.16 (step @p766 :rule ho_cong :premises (@p194 @p765)) 120.92/121.16 (step @p767 :rule trans :premises (@p766 @p764)) 120.92/121.16 (step @p768 :rule trans :premises (@p767 @p746)) 120.92/121.16 (step @p769 :rule eq_resolve :premises (@p35 @p768)) 120.92/121.16 (step @p770 :rule instantiate :premises (@p769) :args ((@list @t218 @t218))) 120.92/121.16 (step @p771 :rule cnf_or_pos :args (@t489)) 120.92/121.16 (step @p772 :rule reordering :premises (@p771) :args ((or @t487 @t488 (not @t489)))) 120.92/121.16 (step @p773 :rule chain_resolution :premises (@p772 @p745 @p770) :args (@t473 (@list @t474 @t489))) 120.92/121.16 (step @p774 :rule cnf_or_pos :args (@t492)) 120.92/121.16 (step @p775 :rule reordering :premises (@p774) :args ((or @t491 @t488 @t464 @t360 @t490 (not @t492)))) 120.92/121.16 (step @p776 :rule chain_resolution :premises (@p775 @p773 @p745 @p589 @p482 @p440) :args ((@list false false true false false) (@list @t487 @t474 @t464 @t356 @t492))) 120.92/121.16 (step @p777 :rule refl :args (@t497)) 120.92/121.16 (step @p778 :rule bool-double-not-elim :args (@t221)) 120.92/121.16 (step @p779 :rule nary_cong :premises (@p778 @p777) :args ((or (not @t490) @t497))) 120.92/121.16 (assume-push @p812 @t490) 120.92/121.16 (step @p781 :rule skolemize :premises (@p812)) 120.92/121.16 (step-pop @p812 :rule scope :premises (@p781)) 120.92/121.16 (step @p782 :rule process_scope :premises (@p812) :args (@t497)) 120.92/121.16 (step @p784 :rule implies_elim :premises (@p782)) 120.92/121.16 (step @p785 :rule eq_resolve :premises (@p784 @p779)) 120.92/121.16 (step @p786 :rule chain_resolution :premises (@p785 @p776) :args (@t404 (@list @t221))) 120.92/121.16 (step @p787 :rule bool-double-not-elim :args (@t494)) 120.92/121.16 (step @p788 :rule refl :args (@t496)) 120.92/121.16 (step @p789 :rule nary_cong :premises (@p788 @p787) :args ((or @t496 (not @t495)))) 120.92/121.16 (step @p790 :rule cnf_or_neg :args (@t496 0)) 120.92/121.16 (step @p791 :rule eq_resolve :premises (@p790 @p789)) 120.92/121.16 (step @p792 :rule reordering :premises (@p791) :args ((or @t494 @t496))) 120.92/121.16 (step @p793 :rule chain_resolution :premises (@p792 @p786) :args (@t404 @t498)) 120.92/121.16 (step @p794 :rule cnf_or_pos :args (@t500)) 120.92/121.16 (step @p795 :rule reordering :premises (@p794) :args ((or @t495 @t499 (not @t500)))) 120.92/121.16 (step @p796 :rule chain_resolution :premises (@p795 @p793 @p230) :args (@t473 (@list @t494 @t500))) 120.92/121.16 (step @p797 :rule cnf_or_neg :args (@t496 1)) 120.92/121.16 (step @p798 :rule chain_resolution :premises (@p797 @p786) :args (@t404 @t498)) 120.92/121.16 (step @p799 :rule cnf_or_pos :args (@t502)) 120.92/121.16 (step @p800 :rule reordering :premises (@p799) :args ((or @t495 @t493 @t501 (not @t502)))) 120.92/121.16 (step @p801 :rule chain_resolution :premises (@p800 @p793 @p798 @p796) :args ((@list false true false) (@list @t494 @t493 @t499))) 120.92/121.16 (assume-push @p814 @t139) 120.92/121.16 (step @p803 :rule instantiate :premises (@p198) :args ((@list @t218 tptp.jan @t222))) 120.92/121.16 (step-pop @p814 :rule scope :premises (@p803)) 120.92/121.16 (step @p804 :rule process_scope :premises (@p814) :args (@t502)) 120.92/121.16 (step @p806 :rule implies_elim :premises (@p804)) 120.92/121.16 (step @p807 false :rule chain_resolution :premises (@p806 @p801 @p198) :args (@t467 (@list @t502 @t139))) 120.92/121.16 ) 120.92/121.16 % SZS output end Proof 120.92/121.16 % cvc5 exiting 120.92/121.16 EOF