0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.14/0.34 % Computer : n029.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1920 0.14/0.34 % WCLimit : 240 0.14/0.34 % DateTime : Sat Sep 6 03:08:37 EDT 2025 0.14/0.34 % CPUTime : 0.20/0.50 %----Proving TH0 122.18/122.44 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 122.18/122.44 --- 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... 122.18/122.44 --- 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... 122.18/122.44 --- Run --ho-elim --full-saturate-quant at 14s... 122.18/122.44 % SZS status Theorem 122.18/122.44 % SZS output start Proof 122.18/122.44 ( 122.18/122.44 (declare-type tptp.frac ()) 122.18/122.44 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) 122.18/122.44 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) 122.18/122.44 (declare-const tptp.x tptp.frac) 122.18/122.44 (declare-const tptp.z tptp.frac) 122.18/122.44 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) 122.18/122.44 (declare-const tptp.y tptp.frac) 122.18/122.44 (declare-const tptp.u tptp.frac) 122.18/122.44 (define @t1 () (not (_ (_ tptp.moref (_ (_ tptp.pf tptp.x) tptp.z)) (_ (_ tptp.pf tptp.y) tptp.u)))) 122.18/122.44 (define @t2 () (@var "Xx" tptp.frac)) 122.18/122.44 (define @t3 () (_ tptp.eq @t2)) 122.18/122.44 (define @t4 () (_ @t3 @t2)) 122.18/122.44 (define @t5 () (@list @t2)) 122.18/122.44 (define @t6 () (forall @t5 @t4)) 122.18/122.44 (define @t7 () (_ (_ tptp.eq tptp.x) tptp.y)) 122.18/122.44 (define @t8 () (@var "Xu" tptp.frac)) 122.18/122.44 (define @t9 () (@var "Xz" tptp.frac)) 122.18/122.44 (define @t10 () (_ (_ tptp.moref @t9) @t8)) 122.18/122.44 (define @t11 () (@var "Xy" tptp.frac)) 122.18/122.44 (define @t12 () (_ (_ tptp.eq @t11) @t8)) 122.18/122.44 (define @t13 () (=> @t12 @t10)) 122.18/122.44 (define @t14 () (_ @t3 @t9)) 122.18/122.44 (define @t15 () (=> @t14 @t13)) 122.18/122.44 (define @t16 () (_ (_ tptp.moref @t2) @t11)) 122.18/122.44 (define @t17 () (@list @t2 @t11 @t9 @t8)) 122.18/122.44 (define @t18 () (forall @t17 (=> @t16 @t15))) 122.18/122.44 (define @t19 () (_ (_ tptp.moref tptp.z) tptp.u)) 122.18/122.44 (define @t20 () (_ tptp.pf @t9)) 122.18/122.44 (define @t21 () (_ @t20 @t11)) 122.18/122.44 (define @t22 () (_ @t20 @t2)) 122.18/122.44 (define @t23 () (_ (_ tptp.moref @t22) @t21)) 122.18/122.44 (define @t24 () (@list @t2 @t11 @t9)) 122.18/122.44 (define @t25 () (forall @t24 (=> @t16 @t23))) 122.18/122.44 (define @t26 () (_ (_ tptp.pf @t11) @t8)) 122.18/122.44 (define @t27 () (_ (_ tptp.pf @t2) @t9)) 122.18/122.44 (define @t28 () (_ (_ tptp.eq @t27) @t26)) 122.18/122.44 (define @t29 () (_ (_ tptp.eq @t9) @t8)) 122.18/122.44 (define @t30 () (=> @t29 @t28)) 122.18/122.44 (define @t31 () (_ @t3 @t11)) 122.18/122.44 (define @t32 () (forall @t17 (=> @t31 @t30))) 122.18/122.44 (define @t33 () (@const 0 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) 122.18/122.44 (define @t34 () (@const 1 (-> (@ho-elim-sort (-> tptp.frac tptp.frac Bool)) tptp.frac (@ho-elim-sort (-> tptp.frac Bool))))) 122.18/122.44 (define @t35 () (_ @t34 @t33 @t2)) 122.18/122.44 (define @t36 () (@const 2 (-> (@ho-elim-sort (-> tptp.frac Bool)) tptp.frac Bool))) 122.18/122.44 (define @t37 () (forall @t5 (_ @t36 @t35 @t2))) 122.18/122.44 (define @t38 () (tptp.eq @t2 @t2)) 122.18/122.44 (define @t39 () (@const 3 (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)))) 122.18/122.44 (define @t40 () (@const 4 (-> (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)) tptp.frac (@ho-elim-sort (-> tptp.frac tptp.frac))))) 122.18/122.44 (define @t41 () (@const 5 (-> (@ho-elim-sort (-> tptp.frac tptp.frac)) tptp.frac tptp.frac))) 122.18/122.44 (define @t42 () (tptp.pf @t11 @t8)) 122.18/122.44 (define @t43 () (tptp.pf @t2 @t9)) 122.18/122.44 (define @t44 () (tptp.eq @t43 @t42)) 122.18/122.44 (define @t45 () (tptp.eq @t9 @t8)) 122.18/122.44 (define @t46 () (tptp.eq @t2 @t11)) 122.18/122.44 (define @t47 () (not @t29)) 122.18/122.44 (define @t48 () (not @t31)) 122.18/122.44 (define @t49 () (or @t48 @t47 @t28)) 122.18/122.44 (define @t50 () (@const 6 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) 122.18/122.44 (define @t51 () (not (_ @t36 (_ @t34 @t50 @t2) @t11))) 122.18/122.44 (define @t52 () (tptp.moref @t9 @t8)) 122.18/122.44 (define @t53 () (tptp.eq @t11 @t8)) 122.18/122.44 (define @t54 () (tptp.eq @t2 @t9)) 122.18/122.44 (define @t55 () (tptp.moref @t2 @t11)) 122.18/122.44 (define @t56 () (not @t55)) 122.18/122.44 (define @t57 () (not @t12)) 122.18/122.44 (define @t58 () (not @t14)) 122.18/122.44 (define @t59 () (not @t16)) 122.18/122.44 (define @t60 () (or @t59 @t58 @t57 @t10)) 122.18/122.44 (define @t61 () (or @t58 @t57 @t10)) 122.18/122.44 (define @t62 () (_ @t41 (_ @t40 @t39 tptp.y) tptp.u)) 122.18/122.44 (define @t63 () (_ @t40 @t39 tptp.x)) 122.18/122.44 (define @t64 () (_ @t41 @t63 tptp.z)) 122.18/122.44 (define @t65 () (_ @t41 @t63 tptp.u)) 122.18/122.44 (define @t66 () (_ @t40 @t39 @t9)) 122.18/122.44 (define @t67 () (tptp.pf @t9 @t11)) 122.18/122.44 (define @t68 () (tptp.pf @t9 @t2)) 122.18/122.44 (define @t69 () (tptp.moref @t68 @t67)) 122.18/122.44 (define @t70 () (or @t59 @t23)) 122.18/122.44 (define @t71 () (_ @t36 (_ @t34 @t50 tptp.z) tptp.u)) 122.18/122.44 (define @t72 () (_ @t34 @t50 @t64)) 122.18/122.44 (define @t73 () (_ @t36 @t72 @t65)) 122.18/122.44 (define @t74 () (not @t71)) 122.18/122.44 (define @t75 () (or @t74 @t73)) 122.18/122.44 (define @t76 () (_ @t36 (_ @t34 @t33 @t64) @t64)) 122.18/122.44 (define @t77 () (_ @t36 (_ @t34 @t33 tptp.z) tptp.z)) 122.18/122.44 (define @t78 () (not @t77)) 122.18/122.44 (define @t79 () (_ @t34 @t33 tptp.x)) 122.18/122.44 (define @t80 () (_ @t36 @t79 tptp.x)) 122.18/122.44 (define @t81 () (not @t80)) 122.18/122.44 (define @t82 () (or @t81 @t78 @t76)) 122.18/122.44 (define @t83 () (_ @t36 @t72 @t62)) 122.18/122.44 (define @t84 () (_ @t36 (_ @t34 @t33 @t65) @t62)) 122.18/122.44 (define @t85 () (not @t84)) 122.18/122.44 (define @t86 () (not @t76)) 122.18/122.44 (define @t87 () (not @t73)) 122.18/122.44 (define @t88 () (or @t87 @t86 @t85 @t83)) 122.18/122.44 (define @t89 () (_ @t36 @t79 tptp.y)) 122.18/122.44 (define @t90 () (_ @t36 (_ @t34 @t33 tptp.u) tptp.u)) 122.18/122.44 (define @t91 () (not @t90)) 122.18/122.44 (define @t92 () (not @t89)) 122.18/122.44 (define @t93 () (or @t92 @t91 @t84)) 122.18/122.44 (assume @p1 @t1) 122.18/122.44 (assume @p2 @t6) 122.18/122.44 (assume @p3 @t7) 122.18/122.44 (assume @p4 @t18) 122.18/122.44 (assume @p5 @t19) 122.18/122.44 (assume @p6 @t25) 122.18/122.44 (assume @p7 @t32) 122.18/122.44 (assume @p8 true) 122.18/122.44 ; WARNING: add trust step for TRUST 122.18/122.44 ; trust TRUST PREPROCESS_HO_ELIM 122.18/122.44 (step @p9 :rule trust :premises () :args ((= (forall @t5 @t38) @t37))) 122.18/122.44 (step @p10 :rule refl :args (@t38)) 122.18/122.44 (step @p11 :rule refl :args (@t4)) 122.18/122.44 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t4 @t38))) 122.18/122.44 (step @p13 :rule symm :premises (@p12)) 122.18/122.44 (step @p14 :rule eq_resolve :premises (@p11 @p13)) 122.18/122.44 (step @p15 :rule cong :premises (@p14) :args (@t6)) 122.18/122.44 (step @p16 :rule trans :premises (@p15 @p9)) 122.18/122.44 (step @p17 :rule eq_resolve :premises (@p2 @p16)) 122.18/122.44 ; trust TRUST PREPROCESS_HO_ELIM 122.18/122.44 (step @p18 :rule trust :premises () :args ((= (forall @t17 (or (not @t46) (not @t45) @t44)) (forall @t17 (or (not (_ @t36 @t35 @t11)) (not (_ @t36 (_ @t34 @t33 @t9) @t8)) (_ @t36 (_ @t34 @t33 (_ @t41 (_ @t40 @t39 @t2) @t9)) (_ @t41 (_ @t40 @t39 @t11) @t8))))))) 122.18/122.44 (step @p19 :rule refl :args ((tptp.eq @t27 @t26))) 122.18/122.44 (step @p20 :rule refl :args (@t42)) 122.18/122.44 (step @p21 :rule refl :args (@t43)) 122.18/122.44 (step @p22 :rule cong :premises (@p21 @p20) :args (@t44)) 122.18/122.44 (step @p23 :rule trans :premises (@p22 @p19)) 122.18/122.44 (step @p24 :rule refl :args (tptp.eq)) 122.18/122.44 (step @p25 :rule ho_cong :premises (@p24 @p21)) 122.18/122.44 (step @p26 :rule ho_cong :premises (@p25 @p20)) 122.18/122.44 (step @p27 :rule cong :premises (@p26 @p23) :args ((= (_ (_ tptp.eq @t43) @t42) @t44))) 122.18/122.44 (step @p28 :rule symm :premises (@p27)) 122.18/122.44 (step @p29 :rule refl :args (@t28)) 122.18/122.44 (step @p30 :rule eq_resolve :premises (@p29 @p28)) 122.18/122.44 (step @p31 :rule refl :args (@t26)) 122.18/122.44 (step @p32 :rule cong :premises (@p31 @p20) :args ((= @t26 @t42))) 122.18/122.44 (step @p33 :rule symm :premises (@p32)) 122.18/122.44 (step @p34 :rule eq_resolve :premises (@p31 @p33)) 122.18/122.44 (step @p35 :rule refl :args (@t27)) 122.18/122.44 (step @p36 :rule cong :premises (@p35 @p21) :args ((= @t27 @t43))) 122.18/122.44 (step @p37 :rule symm :premises (@p36)) 122.18/122.44 (step @p38 :rule eq_resolve :premises (@p35 @p37)) 122.18/122.44 (step @p39 :rule ho_cong :premises (@p24 @p38)) 122.18/122.44 (step @p40 :rule ho_cong :premises (@p39 @p34)) 122.18/122.44 (step @p41 :rule trans :premises (@p40 @p30)) 122.18/122.44 (step @p42 :rule refl :args (@t45)) 122.18/122.44 (step @p43 :rule refl :args (@t29)) 122.18/122.44 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t29 @t45))) 122.18/122.44 (step @p45 :rule symm :premises (@p44)) 122.18/122.44 (step @p46 :rule eq_resolve :premises (@p43 @p45)) 122.18/122.44 (step @p47 :rule cong :premises (@p46) :args (@t47)) 122.18/122.44 (step @p48 :rule refl :args (@t46)) 122.18/122.44 (step @p49 :rule refl :args (@t31)) 122.18/122.44 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t31 @t46))) 122.18/122.44 (step @p51 :rule symm :premises (@p50)) 122.18/122.44 (step @p52 :rule eq_resolve :premises (@p49 @p51)) 122.18/122.44 (step @p53 :rule cong :premises (@p52) :args (@t48)) 122.18/122.44 (step @p54 :rule nary_cong :premises (@p53 @p47 @p41) :args (@t49)) 122.18/122.44 (step @p55 :rule cong :premises (@p54) :args ((forall @t17 @t49))) 122.18/122.44 (step @p56 :rule aci_norm :args ((= (or @t48 (or @t47 @t28)) @t49))) 122.18/122.44 (step @p57 :rule bool-impl-elim :args (@t29 @t28)) 122.18/122.44 (step @p58 :rule refl :args (@t48)) 122.18/122.44 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t48 @t30))) 122.18/122.44 (step @p60 :rule trans :premises (@p59 @p56)) 122.18/122.44 (step @p61 :rule bool-impl-elim :args (@t31 @t30)) 122.18/122.44 (step @p62 :rule trans :premises (@p61 @p60)) 122.18/122.44 (step @p63 :rule cong :premises (@p62) :args (@t32)) 122.18/122.44 (step @p64 :rule trans :premises (@p63 @p55)) 122.18/122.44 (step @p65 :rule trans :premises (@p64 @p18)) 122.18/122.44 (step @p66 :rule eq_resolve :premises (@p7 @p65)) 122.18/122.44 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.x tptp.y tptp.u tptp.u))) 122.18/122.44 ; trust TRUST PREPROCESS_HO_ELIM 122.18/122.44 (step @p68 :rule trust :premises () :args ((= (forall @t17 (or @t56 (not @t54) (not @t53) @t52)) (forall @t17 (or @t51 (not (_ @t36 @t35 @t9)) (not (_ @t36 (_ @t34 @t33 @t11) @t8)) (_ @t36 (_ @t34 @t50 @t9) @t8)))))) 122.18/122.44 (step @p69 :rule refl :args (@t52)) 122.18/122.44 (step @p70 :rule refl :args (@t10)) 122.18/122.44 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t10 @t52))) 122.18/122.44 (step @p72 :rule symm :premises (@p71)) 122.18/122.44 (step @p73 :rule eq_resolve :premises (@p70 @p72)) 122.18/122.44 (step @p74 :rule refl :args (@t53)) 122.18/122.44 (step @p75 :rule refl :args (@t12)) 122.18/122.44 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t12 @t53))) 122.18/122.44 (step @p77 :rule symm :premises (@p76)) 122.18/122.44 (step @p78 :rule eq_resolve :premises (@p75 @p77)) 122.18/122.44 (step @p79 :rule cong :premises (@p78) :args (@t57)) 122.18/122.44 (step @p80 :rule refl :args (@t54)) 122.18/122.44 (step @p81 :rule refl :args (@t14)) 122.18/122.44 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t14 @t54))) 122.18/122.44 (step @p83 :rule symm :premises (@p82)) 122.18/122.44 (step @p84 :rule eq_resolve :premises (@p81 @p83)) 122.18/122.44 (step @p85 :rule cong :premises (@p84) :args (@t58)) 122.18/122.44 (step @p86 :rule refl :args (@t55)) 122.18/122.44 (step @p87 :rule refl :args (@t16)) 122.18/122.44 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t16 @t55))) 122.18/122.44 (step @p89 :rule symm :premises (@p88)) 122.18/122.44 (step @p90 :rule eq_resolve :premises (@p87 @p89)) 122.18/122.44 (step @p91 :rule cong :premises (@p90) :args (@t59)) 122.18/122.44 (step @p92 :rule nary_cong :premises (@p91 @p85 @p79 @p73) :args (@t60)) 122.18/122.44 (step @p93 :rule cong :premises (@p92) :args ((forall @t17 @t60))) 122.18/122.44 (step @p94 :rule aci_norm :args ((= (or @t59 @t61) @t60))) 122.18/122.44 (step @p95 :rule aci_norm :args ((= (or @t58 (or @t57 @t10)) @t61))) 122.18/122.44 (step @p96 :rule bool-impl-elim :args (@t12 @t10)) 122.18/122.44 (step @p97 :rule refl :args (@t58)) 122.18/122.44 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t58 @t13))) 122.18/122.44 (step @p99 :rule trans :premises (@p98 @p95)) 122.18/122.44 (step @p100 :rule bool-impl-elim :args (@t14 @t13)) 122.18/122.44 (step @p101 :rule trans :premises (@p100 @p99)) 122.18/122.44 (step @p102 :rule refl :args (@t59)) 122.18/122.44 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t59 @t15))) 122.18/122.44 (step @p104 :rule trans :premises (@p103 @p94)) 122.18/122.44 (step @p105 :rule bool-impl-elim :args (@t16 @t15)) 122.18/122.44 (step @p106 :rule trans :premises (@p105 @p104)) 122.18/122.44 (step @p107 :rule cong :premises (@p106) :args (@t18)) 122.18/122.44 (step @p108 :rule trans :premises (@p107 @p93)) 122.18/122.44 (step @p109 :rule trans :premises (@p108 @p68)) 122.18/122.44 (step @p110 :rule eq_resolve :premises (@p4 @p109)) 122.18/122.44 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t64 @t65 @t64 @t62))) 122.18/122.44 ; trust TRUST PREPROCESS_HO_ELIM 122.18/122.44 (step @p112 :rule trust :premises () :args ((= (forall @t24 (or @t56 @t69)) (forall @t24 (or @t51 (_ @t36 (_ @t34 @t50 (_ @t41 @t66 @t2)) (_ @t41 @t66 @t11))))))) 122.18/122.44 (step @p113 :rule refl :args ((tptp.moref @t22 @t21))) 122.18/122.44 (step @p114 :rule refl :args (@t67)) 122.18/122.44 (step @p115 :rule refl :args (@t68)) 122.18/122.44 (step @p116 :rule cong :premises (@p115 @p114) :args (@t69)) 122.18/122.44 (step @p117 :rule trans :premises (@p116 @p113)) 122.18/122.44 (step @p118 :rule refl :args (tptp.moref)) 122.18/122.44 (step @p119 :rule ho_cong :premises (@p118 @p115)) 122.18/122.44 (step @p120 :rule ho_cong :premises (@p119 @p114)) 122.18/122.44 (step @p121 :rule cong :premises (@p120 @p117) :args ((= (_ (_ tptp.moref @t68) @t67) @t69))) 122.18/122.44 (step @p122 :rule symm :premises (@p121)) 122.18/122.44 (step @p123 :rule refl :args (@t23)) 122.18/122.44 (step @p124 :rule eq_resolve :premises (@p123 @p122)) 122.18/122.44 (step @p125 :rule refl :args (@t21)) 122.18/122.44 (step @p126 :rule cong :premises (@p125 @p114) :args ((= @t21 @t67))) 122.18/122.44 (step @p127 :rule symm :premises (@p126)) 122.18/122.44 (step @p128 :rule eq_resolve :premises (@p125 @p127)) 122.18/122.44 (step @p129 :rule refl :args (@t22)) 122.18/122.44 (step @p130 :rule cong :premises (@p129 @p115) :args ((= @t22 @t68))) 122.18/122.44 (step @p131 :rule symm :premises (@p130)) 122.18/122.44 (step @p132 :rule eq_resolve :premises (@p129 @p131)) 122.18/122.44 (step @p133 :rule ho_cong :premises (@p118 @p132)) 122.18/122.44 (step @p134 :rule ho_cong :premises (@p133 @p128)) 122.18/122.44 (step @p135 :rule trans :premises (@p134 @p124)) 122.18/122.44 (step @p136 :rule nary_cong :premises (@p91 @p135) :args (@t70)) 122.18/122.44 (step @p137 :rule cong :premises (@p136) :args ((forall @t24 @t70))) 122.18/122.44 (step @p138 :rule bool-impl-elim :args (@t16 @t23)) 122.18/122.44 (step @p139 :rule cong :premises (@p138) :args (@t25)) 122.18/122.44 (step @p140 :rule trans :premises (@p139 @p137)) 122.18/122.44 (step @p141 :rule trans :premises (@p140 @p112)) 122.18/122.44 (step @p142 :rule eq_resolve :premises (@p6 @p141)) 122.18/122.44 (step @p143 :rule instantiate :premises (@p142) :args ((@list tptp.z tptp.u tptp.x))) 122.18/122.44 ; trust TRUST PREPROCESS_HO_ELIM 122.18/122.44 (step @p144 :rule trust :premises () :args ((= @t19 @t71))) 122.18/122.44 (step @p145 :rule eq_resolve :premises (@p5 @p144)) 122.18/122.44 (step @p146 :rule cnf_or_pos :args (@t75)) 122.18/122.44 (step @p147 :rule reordering :premises (@p146) :args ((or @t74 @t73 (not @t75)))) 122.18/122.44 (step @p148 :rule chain_resolution :premises (@p147 @p145 @p143) :args ((@list false false) (@list @t71 @t75))) 122.18/122.44 (step @p149 :rule instantiate :premises (@p66) :args ((@list tptp.x tptp.x tptp.z tptp.z))) 122.18/122.44 (step @p150 :rule instantiate :premises (@p17) :args ((@list tptp.z))) 122.18/122.44 (step @p151 :rule instantiate :premises (@p17) :args ((@list tptp.x))) 122.18/122.44 (step @p152 :rule cnf_or_pos :args (@t82)) 122.18/122.44 (step @p153 :rule reordering :premises (@p152) :args ((or @t81 @t78 @t76 (not @t82)))) 122.18/122.44 (step @p154 :rule chain_resolution :premises (@p153 @p151 @p150 @p149) :args ((@list false false false) (@list @t80 @t77 @t82))) 122.18/122.44 ; trust TRUST PREPROCESS_HO_ELIM 122.18/122.44 (step @p155 :rule trust :premises () :args ((= @t1 (not @t83)))) 122.18/122.44 (step @p156 :rule eq_resolve :premises (@p1 @p155)) 122.18/122.44 (step @p157 :rule cnf_or_pos :args (@t88)) 122.18/122.44 (step @p158 :rule reordering :premises (@p157) :args ((or @t83 @t86 @t87 @t85 (not @t88)))) 122.18/122.44 (step @p159 :rule chain_resolution :premises (@p158 @p156 @p154 @p148 @p111) :args ((@list true false false false) (@list @t83 @t76 @t73 @t88))) 122.18/122.44 ; trust TRUST PREPROCESS_HO_ELIM 122.18/122.44 (step @p160 :rule trust :premises () :args ((= @t7 @t89))) 122.18/122.44 (step @p161 :rule eq_resolve :premises (@p3 @p160)) 122.18/122.44 (step @p162 :rule cnf_or_pos :args (@t93)) 122.18/122.44 (step @p163 :rule reordering :premises (@p162) :args ((or @t92 @t91 @t84 (not @t93)))) 122.18/122.44 (step @p164 :rule chain_resolution :premises (@p163 @p161 @p159 @p67) :args ((@list false true false) (@list @t89 @t84 @t93))) 122.18/122.44 (assume-push @p171 @t37) 122.18/122.44 (step @p166 :rule instantiate :premises (@p17) :args ((@list tptp.u))) 122.18/122.44 (step-pop @p171 :rule scope :premises (@p166)) 122.18/122.44 (step @p167 :rule process_scope :premises (@p171) :args (@t90)) 122.18/122.44 (step @p169 :rule implies_elim :premises (@p167)) 122.18/122.44 (step @p170 false :rule chain_resolution :premises (@p169 @p164 @p17) :args ((@list true false) (@list @t90 @t37))) 122.18/122.44 ) 122.18/122.44 % SZS output end Proof 122.18/122.44 % cvc5 exiting 122.18/122.44 EOF