0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : do_cvc5 %s %d THM 0.12/0.33 % Computer : n001.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:24:24 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.55 %----Proving TF0_ARI 15.63/16.00 --- Run --finite-model-find --decision=internal at 15... 15.63/16.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 15.63/16.00 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.xfO3AtYDzy/cvc5---1.0.5_7792.smt2 15.63/16.00 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.xfO3AtYDzy/cvc5---1.0.5_7792.smt2 15.63/16.00 (declare-sort tptp.bool 0) 15.63/16.00 (declare-sort tptp.value 0) 15.63/16.00 (declare-sort tptp.lprp_mngt_value 0) 15.63/16.00 (declare-sort tptp.expr 0) 15.63/16.00 (declare-sort tptp.uni 0) 15.63/16.00 (declare-sort tptp.int_mngt_value 0) 15.63/16.00 (declare-sort tptp.ty 0) 15.63/16.00 (declare-sort tptp.tuple0 0) 15.63/16.00 (declare-sort tptp.cont 0) 15.63/16.00 (declare-sort tptp.cont2 0) 15.63/16.00 (declare-sort tptp.context 0) 15.63/16.00 (declare-sort tptp.value_mngt_value 0) 15.63/16.00 (declare-fun tptp.fc3 () tptp.lprp_mngt_value) 15.63/16.00 (declare-fun tptp.sub_proj_1 (tptp.expr) tptp.expr) 15.63/16.00 (declare-fun tptp.tb2t3 (tptp.uni) Int) 15.63/16.00 (declare-fun tptp.eval_3a (tptp.expr tptp.int_mngt_value) tptp.int_mngt_value) 15.63/16.00 (declare-fun tptp.a1_proj_2 (tptp.cont2) tptp.cont2) 15.63/16.00 (declare-fun tptp.match_context (tptp.ty tptp.context tptp.uni tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.b_proj_1 (tptp.cont) Int) 15.63/16.00 (declare-fun tptp.eval_01 (tptp.expr) Int) 15.63/16.00 (declare-fun tptp.size_c2 (tptp.context) Int) 15.63/16.00 (declare-fun tptp.fc (tptp.ty tptp.uni Int) tptp.uni) 15.63/16.00 (declare-fun tptp.a_proj_2 (tptp.cont) tptp.cont) 15.63/16.00 (declare-fun tptp.sub_proj_2 (tptp.expr) tptp.expr) 15.63/16.00 (declare-fun tptp.tb2t5 (tptp.uni) tptp.lprp_mngt_value) 15.63/16.00 (declare-fun tptp.a_proj_1 (tptp.cont) tptp.expr) 15.63/16.00 (declare-fun tptp.right_proj_1 (tptp.context) Int) 15.63/16.00 (declare-fun tptp.left_proj_2 (tptp.context) tptp.expr) 15.63/16.00 (declare-fun tptp.t2tb5 (tptp.lprp_mngt_value) tptp.uni) 15.63/16.00 (declare-fun tptp.empty () tptp.context) 15.63/16.00 (declare-fun tptp.a2 (Int tptp.cont2) tptp.cont2) 15.63/16.00 (declare-fun tptp.eval_cont (tptp.cont tptp.value tptp.value) Bool) 15.63/16.00 (declare-fun tptp.fc1 (tptp.ty tptp.uni tptp.expr) tptp.uni) 15.63/16.00 (declare-fun tptp.size_e (tptp.expr) Int) 15.63/16.00 (declare-fun tptp.a1 (tptp.expr tptp.cont2) tptp.cont2) 15.63/16.00 (declare-fun tptp.b_proj_2 (tptp.cont) tptp.cont) 15.63/16.00 (declare-fun tptp.tuple01 () tptp.ty) 15.63/16.00 (declare-fun tptp.t2tb2 (tptp.tuple0) tptp.uni) 15.63/16.00 (declare-fun tptp.a2_proj_1 (tptp.cont2) Int) 15.63/16.00 (declare-fun tptp.b (Int tptp.cont) tptp.cont) 15.63/16.00 (declare-fun tptp.vnum_proj_1 (tptp.value) Int) 15.63/16.00 (declare-fun tptp.tb2t2 (tptp.uni) tptp.tuple0) 15.63/16.00 (declare-fun tptp.func (tptp.ty tptp.ty) tptp.ty) 15.63/16.00 (declare-fun tptp.eval_cont1 (tptp.cont2 Int Int) Bool) 15.63/16.00 (declare-fun tptp.false () tptp.bool) 15.63/16.00 (declare-fun tptp.t2tb3 (Int) tptp.uni) 15.63/16.00 (declare-fun tptp.underflow () tptp.value) 15.63/16.00 (declare-fun tptp.i () tptp.cont) 15.63/16.00 (declare-fun tptp.int () tptp.ty) 15.63/16.00 (declare-fun tptp.eval_2b (tptp.ty Int tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.size_e1 (tptp.expr) Int) 15.63/16.00 (declare-fun tptp.sort (tptp.ty tptp.uni) Bool) 15.63/16.00 (declare-fun tptp.eval_2 (tptp.ty tptp.expr tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.value1 () tptp.ty) 15.63/16.00 (declare-fun tptp.eval_3b (Int tptp.int_mngt_value) tptp.int_mngt_value) 15.63/16.00 (declare-fun tptp.witness (tptp.ty) tptp.uni) 15.63/16.00 (declare-fun tptp.size_c1 (tptp.cont) Int) 15.63/16.00 (declare-fun tptp.infix_at (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.match_cont1 (tptp.ty tptp.cont2 tptp.uni tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.tb2t1 (tptp.uni) tptp.value_mngt_value) 15.63/16.00 (declare-fun tptp.cte_proj_1 (tptp.expr) Int) 15.63/16.00 (declare-fun tptp.tb2t (tptp.uni) tptp.value) 15.63/16.00 (declare-fun tptp.true () tptp.bool) 15.63/16.00 (declare-fun tptp.left (tptp.context tptp.expr) tptp.context) 15.63/16.00 (declare-fun tptp.t2tb4 (tptp.int_mngt_value) tptp.uni) 15.63/16.00 (declare-fun tptp.right_proj_2 (tptp.context) tptp.context) 15.63/16.00 (declare-fun tptp.cte (Int) tptp.expr) 15.63/16.00 (declare-fun tptp.right (Int tptp.context) tptp.context) 15.63/16.00 (declare-fun tptp.vnum_closure () tptp.int_mngt_value) 15.63/16.00 (declare-fun tptp.vnum (Int) tptp.value) 15.63/16.00 (declare-fun tptp.eval_2a (tptp.ty tptp.expr tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.a1_proj_1 (tptp.cont2) tptp.expr) 15.63/16.00 (declare-fun tptp.sub (tptp.expr tptp.expr) tptp.expr) 15.63/16.00 (declare-fun tptp.size_c (tptp.cont2) Int) 15.63/16.00 (declare-fun tptp.match_bool (tptp.ty tptp.bool tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.i1 () tptp.cont2) 15.63/16.00 (declare-fun tptp.t2tb1 (tptp.value_mngt_value) tptp.uni) 15.63/16.00 (declare-fun tptp.match_value (tptp.ty tptp.value tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.a (tptp.expr tptp.cont) tptp.cont) 15.63/16.00 (declare-fun tptp.eval_0 (tptp.expr) tptp.value) 15.63/16.00 (declare-fun tptp.match_cont (tptp.ty tptp.cont tptp.uni tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.eval_3 (tptp.expr tptp.int_mngt_value) tptp.value) 15.63/16.00 (declare-fun tptp.a2_proj_2 (tptp.cont2) tptp.cont2) 15.63/16.00 (declare-fun tptp.tb2t4 (tptp.uni) tptp.int_mngt_value) 15.63/16.00 (declare-fun tptp.eval_1 (tptp.ty tptp.expr tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.t2tb (tptp.value) tptp.uni) 15.63/16.00 (declare-fun tptp.recompose (tptp.context tptp.expr) tptp.expr) 15.63/16.00 (declare-fun tptp.match_expr (tptp.ty tptp.expr tptp.uni tptp.uni) tptp.uni) 15.63/16.00 (declare-fun tptp.tuple02 () tptp.tuple0) 15.63/16.00 (declare-fun tptp.left_proj_1 (tptp.context) tptp.context) 15.63/16.00 (declare-fun tptp.fc2 () tptp.value_mngt_value) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2599 () (alf.var "BOUND_VARIABLE_2599" tptp.expr)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2349 () (alf.var "BOUND_VARIABLE_2349" tptp.int_mngt_value)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2357 () (alf.var "BOUND_VARIABLE_2357" tptp.int_mngt_value)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2525 () (alf.var "BOUND_VARIABLE_2525" tptp.expr)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2549 () (alf.var "BOUND_VARIABLE_2549" tptp.expr)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2445 () (alf.var "BOUND_VARIABLE_2445" Int)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2454 () (alf.var "BOUND_VARIABLE_2454" Int)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_1921 () (alf.var "BOUND_VARIABLE_1921" Int)) 15.63/16.00 (define @v.0.B () (alf.var "B" tptp.ty)) 15.63/16.00 (define @v.6.U () (alf.var "U" tptp.cont)) 15.63/16.00 (define @v.1.X2 () (alf.var "X2" Int)) 15.63/16.00 (define @v.5.I () (alf.var "I" tptp.tuple0)) 15.63/16.00 (define @v.5.U () (alf.var "U" tptp.value)) 15.63/16.00 (define @v.4.I () (alf.var "I" Int)) 15.63/16.00 (define @v.10.X () (alf.var "X" tptp.tuple0)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_1923 () (alf.var "BOUND_VARIABLE_1923" tptp.context)) 15.63/16.00 (define @v.3.Z () (alf.var "Z" tptp.cont2)) 15.63/16.00 (define @v.2.Z1 () (alf.var "Z1" Int)) 15.63/16.00 (define @v.2.C () (alf.var "C" tptp.cont2)) 15.63/16.00 (define @v.3.U1 () (alf.var "U1" tptp.context)) 15.63/16.00 (define @v.9.X () (alf.var "X" tptp.int_mngt_value)) 15.63/16.00 (define @v.8.X () (alf.var "X" tptp.bool)) 15.63/16.00 (define @v.1.N () (alf.var "N" tptp.value)) 15.63/16.00 (define @v.3.V1 () (alf.var "V1" tptp.cont)) 15.63/16.00 (define @v.0.Y () (alf.var "Y" Int)) 15.63/16.00 (define @v.0.X2 () (alf.var "X2" tptp.uni)) 15.63/16.00 (define @v.2.V1 () (alf.var "V1" tptp.context)) 15.63/16.00 (define @v.3.U () (alf.var "U" tptp.tuple0)) 15.63/16.00 (define @v.0.V1 () (alf.var "V1" Int)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2590 () (alf.var "BOUND_VARIABLE_2590" tptp.expr)) 15.63/16.00 (define @v.1.C () (alf.var "C" tptp.context)) 15.63/16.00 (define @v.2.X () (alf.var "X" Int)) 15.63/16.00 (define @v.2.X1 () (alf.var "X1" tptp.cont2)) 15.63/16.00 (define @v.5.X1 () (alf.var "X1" tptp.cont)) 15.63/16.00 (define @v.4.X () (alf.var "X" tptp.value_mngt_value)) 15.63/16.00 (define @v.1.V () (alf.var "V" tptp.context)) 15.63/16.00 (define @v.6.X () (alf.var "X" tptp.lprp_mngt_value)) 15.63/16.00 (define @v.3.K () (alf.var "K" tptp.uni)) 15.63/16.00 (define @v.2.Z () (alf.var "Z" Int)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2608 () (alf.var "BOUND_VARIABLE_2608" tptp.expr)) 15.63/16.00 (define @v.0.I () (alf.var "I" tptp.value_mngt_value)) 15.63/16.00 (define @v.0.X1 () (alf.var "X1" tptp.uni)) 15.63/16.00 (define @v.0.Kerr () (alf.var "Kerr" tptp.uni)) 15.63/16.00 (define @v.11.X () (alf.var "X" tptp.cont2)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2523 () (alf.var "BOUND_VARIABLE_2523" tptp.expr)) 15.63/16.00 (define @v.1.X3 () (alf.var "X3" Int)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2340 () (alf.var "BOUND_VARIABLE_2340" tptp.int_mngt_value)) 15.63/16.00 (define @v.1.K () (alf.var "K" tptp.cont2)) 15.63/16.00 (define @v.5.V1 () (alf.var "V1" tptp.value)) 15.63/16.00 (define @v.0.V2 () (alf.var "V2" Int)) 15.63/16.00 (define @v.0.A () (alf.var "A" tptp.ty)) 15.63/16.00 (define @v.1.R () (alf.var "R" tptp.value)) 15.63/16.00 (define @v.0.K () (alf.var "K" tptp.int_mngt_value)) 15.63/16.00 (define @v.0.P () (alf.var "P" tptp.expr)) 15.63/16.00 (define @v.3.I () (alf.var "I" tptp.int_mngt_value)) 15.63/16.00 (define @v.1.U () (alf.var "U" tptp.expr)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2496 () (alf.var "BOUND_VARIABLE_2496" Int)) 15.63/16.00 (define @v.3.X1 () (alf.var "X1" tptp.context)) 15.63/16.00 (define @v.5.X () (alf.var "X" tptp.cont)) 15.63/16.00 (define @v.0.J () (alf.var "J" tptp.uni)) 15.63/16.00 (define @v.1.X () (alf.var "X" tptp.uni)) 15.63/16.00 (define @v.0.E1 () (alf.var "E1" tptp.expr)) 15.63/16.00 (define @v.1.Z2 () (alf.var "Z2" tptp.value)) 15.63/16.00 (define @v.0.U1 () (alf.var "U1" tptp.cont)) 15.63/16.00 (define @v.7.U () (alf.var "U" tptp.cont2)) 15.63/16.00 (define @v.1.Z () (alf.var "Z" tptp.cont)) 15.63/16.00 (define @v.0.C () (alf.var "C" tptp.cont)) 15.63/16.00 (define @v.0.Z () (alf.var "Z" tptp.uni)) 15.63/16.00 (define @v.1.V1 () (alf.var "V1" tptp.expr)) 15.63/16.00 (define @v.3.X () (alf.var "X" tptp.value)) 15.63/16.00 (define @v.2.K () (alf.var "K" tptp.cont)) 15.63/16.00 (define @v.0.Z2 () (alf.var "Z2" tptp.uni)) 15.63/16.00 (define @v.0.Z1 () (alf.var "Z1" tptp.uni)) 15.63/16.00 (define @v.1.U1 () (alf.var "U1" tptp.cont2)) 15.63/16.00 (define @v.1.X1 () (alf.var "X1" tptp.expr)) 15.63/16.00 (define @v.0.X3 () (alf.var "X3" tptp.uni)) 15.63/16.00 (define @v.1.Z1 () (alf.var "Z1" tptp.value)) 15.63/16.00 (define @v.2.U1 () (alf.var "U1" tptp.expr)) 15.63/16.00 (define @v.4.U () (alf.var "U" tptp.bool)) 15.63/16.00 (define @v.0.E () (alf.var "E" tptp.expr)) 15.63/16.00 (define @v.2.Z2 () (alf.var "Z2" Int)) 15.63/16.00 (define @v.0.V () (alf.var "V" Int)) 15.63/16.00 (define @v.0.E2 () (alf.var "E2" tptp.expr)) 15.63/16.00 (define @v.2.V () (alf.var "V" tptp.expr)) 15.63/16.00 (define @v.1.V2 () (alf.var "V2" tptp.value)) 15.63/16.00 (define @v.0.N () (alf.var "N" Int)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2551 () (alf.var "BOUND_VARIABLE_2551" tptp.expr)) 15.63/16.00 (define @v.2.U () (alf.var "U" tptp.context)) 15.63/16.00 (define @v.0.U () (alf.var "U" Int)) 15.63/16.00 (define @v.4.V1 () (alf.var "V1" tptp.cont2)) 15.63/16.00 (define @v.0.X () (alf.var "X" tptp.expr)) 15.63/16.00 (define @v.1.I () (alf.var "I" tptp.value)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2323 () (alf.var "BOUND_VARIABLE_2323" Int)) 15.63/16.00 (define @v.0.BOUND_VARIABLE_2314 () (alf.var "BOUND_VARIABLE_2314" Int)) 15.63/16.00 (define @v.0.R () (alf.var "R" Int)) 15.63/16.00 (define @v.4.X1 () (alf.var "X1" Int)) 15.63/16.00 (define @v.2.I () (alf.var "I" tptp.lprp_mngt_value)) 15.63/16.00 (define @v.7.X () (alf.var "X" tptp.context)) 15.63/16.00 (define @t1 () (tptp.t2tb3 @v.0.V2)) 15.63/16.00 (define @t2 () (tptp.eval_3b @v.0.V1 @v.0.K)) 15.63/16.00 (define @t3 () (tptp.tb2t (tptp.infix_at tptp.value1 tptp.int (tptp.t2tb4 @t2) @t1))) 15.63/16.00 (define @t4 () (<= @v.0.V2 @v.0.V1)) 15.63/16.00 (define @t5 () (not @t4)) 15.63/16.00 (define @t6 () (tptp.t2tb3 (- @v.0.V1 @v.0.V2))) 15.63/16.00 (define @t7 () (tptp.t2tb4 @v.0.K)) 15.63/16.00 (define @t8 () (tptp.cte @v.0.U)) 15.63/16.00 (define @t9 () (@list @v.0.U)) 15.63/16.00 (define @t10 () (tptp.t2tb4 tptp.vnum_closure)) 15.63/16.00 (define @t11 () (forall (@list @v.0.Y) (= (tptp.tb2t (tptp.infix_at tptp.value1 tptp.int @t10 (tptp.t2tb3 @v.0.Y))) (tptp.vnum @v.0.Y)))) 15.63/16.00 (define @t12 () (tptp.func tptp.int @v.0.A)) 15.63/16.00 (define @t13 () (@list @v.0.A @v.0.X @v.0.X1 @v.0.X2)) 15.63/16.00 (define @t14 () (@list @v.0.J)) 15.63/16.00 (define @t15 () (tptp.b @v.0.U @v.0.U1)) 15.63/16.00 (define @t16 () (@list @v.0.U @v.0.U1)) 15.63/16.00 (define @t17 () (tptp.a1 @v.1.U @v.1.U1)) 15.63/16.00 (define @t18 () (tptp.sort @v.0.A @v.0.Z)) 15.63/16.00 (define @t19 () (tptp.func tptp.value1 @v.0.A)) 15.63/16.00 (define @t20 () (tptp.a2 @v.0.V1 @v.1.K)) 15.63/16.00 (define @t21 () (- @v.0.V1 @v.0.V)) 15.63/16.00 (define @t22 () (tptp.eval_cont1 @v.1.K @t21 @v.0.R)) 15.63/16.00 (define @t23 () (@list @v.0.V1 @v.1.K @v.0.V @v.0.R)) 15.63/16.00 (define @t24 () (tptp.vnum @v.0.V)) 15.63/16.00 (define @t25 () (tptp.b @v.0.V1 @v.2.K)) 15.63/16.00 (define @t26 () (<= @v.0.V @v.0.V1)) 15.63/16.00 (define @t27 () (tptp.eval_cont @v.2.K (tptp.vnum @t21) @v.1.R)) 15.63/16.00 (define @t28 () (tptp.eval_cont @v.2.K tptp.underflow @v.1.R)) 15.63/16.00 (define @t29 () (not @t26)) 15.63/16.00 (define @t30 () (@list @v.0.V1 @v.2.K @v.0.V @v.1.R)) 15.63/16.00 (define @t31 () (tptp.eval_2a @v.0.A @v.0.E2 @v.3.K @v.0.Kerr)) 15.63/16.00 (define @t32 () (@list @v.0.V)) 15.63/16.00 (define @t33 () (tptp.size_c @v.2.X1)) 15.63/16.00 (define @t34 () (tptp.size_e1 @v.0.X)) 15.63/16.00 (define @t35 () (+ 2 @t34)) 15.63/16.00 (define @t36 () (tptp.func tptp.value1 tptp.value1)) 15.63/16.00 (define @t37 () (tptp.a2 @v.0.U @v.1.U1)) 15.63/16.00 (define @t38 () (@list @v.0.U @v.1.U1)) 15.63/16.00 (define @t39 () (tptp.eval_0 @v.0.P)) 15.63/16.00 (define @t40 () (@list @v.0.P)) 15.63/16.00 (define @t41 () (forall @t40 (= (tptp.eval_3 @v.0.P tptp.vnum_closure) @t39))) 15.63/16.00 (define @t42 () (tptp.right @v.0.V @v.2.V1)) 15.63/16.00 (define @t43 () (tptp.b @v.0.V @v.3.V1)) 15.63/16.00 (define @t44 () (tptp.func tptp.int tptp.value1)) 15.63/16.00 (define @t45 () (= @v.1.Z2 @v.1.R)) 15.63/16.00 (define @t46 () (= @v.1.Z1 @t24)) 15.63/16.00 (define @t47 () (tptp.a @v.0.E2 @v.2.K)) 15.63/16.00 (define @t48 () (tptp.eval_0 @v.0.E2)) 15.63/16.00 (define @t49 () (tptp.eval_cont (tptp.b @v.0.V @v.2.K) @t48 @v.1.R)) 15.63/16.00 (define @t50 () (@list @v.0.E2 @v.2.K @v.0.V @v.1.R)) 15.63/16.00 (define @t51 () (@list @v.2.K)) 15.63/16.00 (define @t52 () (@list @v.0.E)) 15.63/16.00 (define @t53 () (tptp.sort @v.0.A @v.0.Z1)) 15.63/16.00 (define @t54 () (@list @v.0.A @v.0.Z @v.0.Z1)) 15.63/16.00 (define @t55 () (tptp.sub @v.0.X @v.1.X1)) 15.63/16.00 (define @t56 () (@list @v.0.X @v.1.X1)) 15.63/16.00 (define @t57 () (tptp.vnum @v.2.X)) 15.63/16.00 (define @t58 () (tptp.cte @v.2.X)) 15.63/16.00 (define @t59 () (tptp.eval_1 @v.0.A @t58 @v.3.K)) 15.63/16.00 (define @t60 () (<= 0 @v.2.X)) 15.63/16.00 (define @t61 () (tptp.t2tb tptp.underflow)) 15.63/16.00 (define @t62 () (tptp.infix_at @v.0.A tptp.value1 @v.3.K @t61)) 15.63/16.00 (define @t63 () (not @t60)) 15.63/16.00 (define @t64 () (@list @v.2.X)) 15.63/16.00 (define @t65 () (tptp.infix_at @v.0.A tptp.tuple01 @v.0.Kerr (tptp.t2tb2 tptp.tuple02))) 15.63/16.00 (define @t66 () (tptp.eval_2b @v.0.A @v.0.V1 @v.3.K @v.0.Kerr)) 15.63/16.00 (define @t67 () (tptp.infix_at @v.0.A tptp.int @t66 @t1)) 15.63/16.00 (define @t68 () (@list @v.1.U @v.1.U1)) 15.63/16.00 (define @t69 () (tptp.eval_0 @v.0.E)) 15.63/16.00 (define @t70 () (tptp.t2tb3 (tptp.vnum_proj_1 @t69))) 15.63/16.00 (define @t71 () (tptp.cte @v.0.N)) 15.63/16.00 (define @t72 () (tptp.right @v.2.X @v.3.X1)) 15.63/16.00 (define @t73 () (@list @v.2.X @v.3.X1)) 15.63/16.00 (define @t74 () (not (forall (@list @v.1.C @v.0.N) (=> (<= 0 @v.0.N) (forall @t73 (=> (= @v.1.C @t72) (=> (<= @v.0.N @v.2.X) (= (tptp.eval_0 (tptp.recompose @v.3.X1 (tptp.cte (- @v.2.X @v.0.N)))) (tptp.eval_0 (tptp.recompose @v.1.C @t71)))))))))) 15.63/16.00 (define @t75 () (tptp.sub @v.1.U @v.2.U1)) 15.63/16.00 (define @t76 () (tptp.left @v.2.U @v.2.U1)) 15.63/16.00 (define @t77 () (@list @v.2.U @v.2.U1)) 15.63/16.00 (define @t78 () (tptp.t2tb1 tptp.fc2)) 15.63/16.00 (define @t79 () (tptp.func tptp.tuple01 tptp.value1)) 15.63/16.00 (define @t80 () (tptp.a @v.1.U @v.0.U1)) 15.63/16.00 (define @t81 () (@list @v.1.U @v.0.U1)) 15.63/16.00 (define @t82 () (= (tptp.eval_0 (tptp.recompose @v.1.C @v.0.E1)) (tptp.eval_0 (tptp.recompose @v.1.C @v.0.E2)))) 15.63/16.00 (define @t83 () (tptp.eval_0 @v.0.E1)) 15.63/16.00 (define @t84 () (@list @v.1.C @v.0.E1 @v.0.E2)) 15.63/16.00 (define @t85 () (forall @t84 (=> (= @t83 @t48) @t82))) 15.63/16.00 (define @t86 () (@list @v.1.U @v.2.U1)) 15.63/16.00 (define @t87 () (tptp.size_e1 @v.1.X1)) 15.63/16.00 (define @t88 () (tptp.left @v.7.X @v.1.X1)) 15.63/16.00 (define @t89 () (@list @v.7.X @v.1.X1)) 15.63/16.00 (define @t90 () (tptp.a1 @v.0.E2 @v.1.K)) 15.63/16.00 (define @t91 () (tptp.eval_cont1 (tptp.a2 @v.0.V @v.1.K) (tptp.eval_01 @v.0.E2) @v.0.R)) 15.63/16.00 (define @t92 () (@list @v.0.E2 @v.1.K @v.0.V @v.0.R)) 15.63/16.00 (define @t93 () (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.Z2)) 15.63/16.00 (define @t94 () (tptp.vnum @v.0.U)) 15.63/16.00 (define @t95 () (tptp.sort @v.0.A @v.0.Z2)) 15.63/16.00 (define @t96 () (@list @v.3.U)) 15.63/16.00 (define @t97 () (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.U)) 15.63/16.00 (define @t98 () (tptp.right @v.0.U @v.3.U1)) 15.63/16.00 (define @t99 () (@list @v.0.U @v.3.U1)) 15.63/16.00 (define @t100 () (= @v.2.Z2 @v.0.R)) 15.63/16.00 (define @t101 () (= @v.2.Z1 @v.0.V)) 15.63/16.00 (define @t102 () (tptp.infix_at @v.0.A tptp.value1 (tptp.fc @v.0.A @v.3.K @v.2.X) (tptp.t2tb @v.1.V2))) 15.63/16.00 (define @t103 () (tptp.vnum_proj_1 @v.1.V2)) 15.63/16.00 (define @t104 () (<= @t103 @v.2.X)) 15.63/16.00 (define @t105 () (tptp.t2tb3 @v.2.X)) 15.63/16.00 (define @t106 () (tptp.eval_3 @t58 @v.0.K)) 15.63/16.00 (define @t107 () (forall (@list @v.0.K) (and (forall @t64 (and (=> @t63 (= @t106 tptp.underflow)) (=> @t60 (= @t106 (tptp.tb2t (tptp.infix_at tptp.value1 tptp.int @t7 @t105)))))) (forall @t56 (= (tptp.eval_3 @t55 @v.0.K) (tptp.eval_3 @v.0.X (tptp.eval_3a @v.1.X1 @v.0.K))))))) 15.63/16.00 (define @t108 () (tptp.t2tb5 tptp.fc3)) 15.63/16.00 (define @t109 () (tptp.eval_0 @t55)) 15.63/16.00 (define @t110 () (= @t109 tptp.underflow)) 15.63/16.00 (define @t111 () (tptp.eval_0 @v.0.X)) 15.63/16.00 (define @t112 () (tptp.eval_0 @v.1.X1)) 15.63/16.00 (define @t113 () (<= @v.1.X3 @v.1.X2)) 15.63/16.00 (define @t114 () (tptp.vnum @v.1.X2)) 15.63/16.00 (define @t115 () (forall @t56 (and (forall (@list @v.1.X2) (=> (= @t111 @t114) (and (forall (@list @v.1.X3) (=> (= @t112 (tptp.vnum @v.1.X3)) (and (=> @t113 (= @t109 (tptp.vnum (- @v.1.X2 @v.1.X3)))) (=> (not @t113) @t110)))) (=> (= @t112 tptp.underflow) @t110)))) (=> (= @t111 tptp.underflow) @t110)))) 15.63/16.00 (define @t116 () (tptp.eval_0 @t58)) 15.63/16.00 (define @t117 () (forall @t64 (and (=> @t63 (= @t116 tptp.underflow)) (=> @t60 (= @t116 @t57))))) 15.63/16.00 (define @t118 () (forall @t52 (and (forall @t73 (= (tptp.recompose @t72 @v.0.E) (tptp.recompose @v.3.X1 (tptp.sub @t58 @v.0.E)))) (forall @t89 (= (tptp.recompose @t88 @v.0.E) (tptp.recompose @v.7.X (tptp.sub @v.0.E @v.1.X1)))) (= (tptp.recompose tptp.empty @v.0.E) @v.0.E)))) 15.63/16.00 (define @t119 () (tptp.size_c1 @v.5.X1)) 15.63/16.00 (define @t120 () (tptp.t2tb3 @v.0.V1)) 15.63/16.00 (define @t121 () (tptp.eval_2 @v.0.A @t58 @v.3.K @v.0.Kerr)) 15.63/16.00 (define @t122 () (or (not (>= @v.0.N 0)) (>= (+ @v.0.N (* -1 @v.0.BOUND_VARIABLE_1921)) 1) (= (tptp.eval_0 (tptp.recompose @v.0.BOUND_VARIABLE_1923 (tptp.cte (+ (* -1 @v.0.N) @v.0.BOUND_VARIABLE_1921)))) (tptp.eval_0 (tptp.recompose (tptp.right @v.0.BOUND_VARIABLE_1921 @v.0.BOUND_VARIABLE_1923) @t71))))) 15.63/16.00 (define @t123 () (@list @v.0.N @v.0.BOUND_VARIABLE_1923 @v.0.BOUND_VARIABLE_1921)) 15.63/16.00 (define @t124 () (exists @t123 (not @t122))) 15.63/16.00 (define @t125 () (@quantifiers_skolemize @t124 @v.0.N)) 15.63/16.00 (define @t126 () (>= @t125 0)) 15.63/16.00 (define @t127 () (not @t126)) 15.63/16.00 (define @t128 () (tptp.cte @t125)) 15.63/16.00 (define @t129 () (@quantifiers_skolemize @t124 @v.0.BOUND_VARIABLE_1923)) 15.63/16.00 (define @t130 () (@quantifiers_skolemize @t124 @v.0.BOUND_VARIABLE_1921)) 15.63/16.00 (define @t131 () (* -1 @t125)) 15.63/16.00 (define @t132 () (+ @t131 @t130)) 15.63/16.00 (define @t133 () (tptp.cte @t132)) 15.63/16.00 (define @t134 () (tptp.eval_0 (tptp.recompose @t129 @t133))) 15.63/16.00 (define @t135 () (= @t134 (tptp.eval_0 (tptp.recompose (tptp.right @t130 @t129) @t128)))) 15.63/16.00 (define @t136 () (+ @t125 (* -1 @t130))) 15.63/16.00 (define @t137 () (>= @t136 1)) 15.63/16.00 (define @t138 () (or @t127 @t137 @t135)) 15.63/16.00 (define @t139 () (not @t137)) 15.63/16.00 (define @t140 () (forall (@list @v.0.BOUND_VARIABLE_2454) (or (not (>= @v.0.BOUND_VARIABLE_2454 0)) (= (tptp.vnum @v.0.BOUND_VARIABLE_2454) (tptp.eval_0 (tptp.cte @v.0.BOUND_VARIABLE_2454)))))) 15.63/16.00 (define @t141 () (tptp.cte @t130)) 15.63/16.00 (define @t142 () (tptp.eval_0 @t141)) 15.63/16.00 (define @t143 () (tptp.vnum @t130)) 15.63/16.00 (define @t144 () (= @t143 @t142)) 15.63/16.00 (define @t145 () (>= @t130 0)) 15.63/16.00 (define @t146 () (not @t145)) 15.63/16.00 (define @t147 () (= @t142 @t143)) 15.63/16.00 (define @t148 () (or @t146 @t147)) 15.63/16.00 (define @t149 () (tptp.eval_0 (tptp.sub @v.0.BOUND_VARIABLE_2523 @v.0.BOUND_VARIABLE_2525))) 15.63/16.00 (define @t150 () (= tptp.underflow @t149)) 15.63/16.00 (define @t151 () (tptp.eval_0 @v.0.BOUND_VARIABLE_2525)) 15.63/16.00 (define @t152 () (+ @v.1.X2 (* -1 @v.0.BOUND_VARIABLE_2496))) 15.63/16.00 (define @t153 () (>= @t152 0)) 15.63/16.00 (define @t154 () (forall (@list @v.0.BOUND_VARIABLE_2523 @v.0.BOUND_VARIABLE_2525 @v.1.X2 @v.0.BOUND_VARIABLE_2496) (or (not (= @t114 (tptp.eval_0 @v.0.BOUND_VARIABLE_2523))) (and (or (not (= (tptp.vnum @v.0.BOUND_VARIABLE_2496) @t151)) (and (or (not @t153) (= (tptp.vnum @t152) @t149)) (or @t153 @t150))) (or (not (= tptp.underflow @t151)) @t150))))) 15.63/16.00 (define @t155 () (tptp.sub @t141 @t128)) 15.63/16.00 (define @t156 () (tptp.eval_0 @t155)) 15.63/16.00 (define @t157 () (= tptp.underflow @t156)) 15.63/16.00 (define @t158 () (tptp.eval_0 @t128)) 15.63/16.00 (define @t159 () (or (not (= tptp.underflow @t158)) @t157)) 15.63/16.00 (define @t160 () (+ @t130 @t131)) 15.63/16.00 (define @t161 () (>= @t160 0)) 15.63/16.00 (define @t162 () (tptp.vnum @t125)) 15.63/16.00 (define @t163 () (= @t162 @t158)) 15.63/16.00 (define @t164 () (tptp.vnum @t132)) 15.63/16.00 (define @t165 () (= @t156 @t164)) 15.63/16.00 (define @t166 () (or @t137 @t165)) 15.63/16.00 (define @t167 () (and @t166 (or @t139 @t157))) 15.63/16.00 (define @t168 () (= @t158 @t162)) 15.63/16.00 (define @t169 () (not @t168)) 15.63/16.00 (define @t170 () (or @t169 @t167)) 15.63/16.00 (define @t171 () (and @t170 @t159)) 15.63/16.00 (define @t172 () (not @t147)) 15.63/16.00 (define @t173 () (or @t172 @t171)) 15.63/16.00 (define @t174 () (tptp.eval_0 @t133)) 15.63/16.00 (define @t175 () (tptp.eval_3 @t133 tptp.vnum_closure)) 15.63/16.00 (define @t176 () (= @t174 @t175)) 15.63/16.00 (define @t177 () (tptp.tb2t (tptp.infix_at tptp.value1 tptp.int @t10 (tptp.t2tb3 @t132)))) 15.63/16.00 (define @t178 () (= @t164 @t177)) 15.63/16.00 (define @t179 () (forall (@list @v.0.BOUND_VARIABLE_2357 @v.0.BOUND_VARIABLE_2323) (or (not (>= @v.0.BOUND_VARIABLE_2323 0)) (= (tptp.eval_3 (tptp.cte @v.0.BOUND_VARIABLE_2323) @v.0.BOUND_VARIABLE_2357) (tptp.tb2t (tptp.infix_at tptp.value1 tptp.int (tptp.t2tb4 @v.0.BOUND_VARIABLE_2357) (tptp.t2tb3 @v.0.BOUND_VARIABLE_2323))))))) 15.63/16.00 (define @t180 () (= @t175 @t177)) 15.63/16.00 (define @t181 () (or @t137 @t180)) 15.63/16.00 (define @t182 () (forall @t84 (or (not (= @t48 @t83)) @t82))) 15.63/16.00 (define @t183 () (= @t134 (tptp.eval_0 (tptp.recompose @t129 @t155)))) 15.63/16.00 (define @t184 () (= @t174 @t156)) 15.63/16.00 (define @t185 () (not @t184)) 15.63/16.00 (define @t186 () (or @t185 @t183)) 15.63/16.00 (define @t187 () (not @t165)) 15.63/16.00 (define @t188 () (and @t176 @t178 @t180 @t165 @t185)) 15.63/16.00 (define @t189 () (not @t166)) 15.63/16.00 (define @t190 () (not @t167)) 15.63/16.00 (define @t191 () (or @t127 @t168)) 15.63/16.00 (define @t192 () (not @t170)) 15.63/16.00 (define @t193 () (not @t171)) 15.63/16.00 (define @t194 () (<= @t136 0)) 15.63/16.00 (define @t195 () (and @t146 @t126 @t139)) 15.63/16.00 (assume @p1 (forall (@list @v.0.V1 @v.0.K @v.0.V2) (and (=> @t4 (= @t3 (tptp.tb2t (tptp.infix_at tptp.value1 tptp.int @t7 @t6)))) (=> @t5 (= @t3 tptp.underflow))))) 15.63/16.00 (assume @p2 (forall @t9 (= (tptp.cte_proj_1 @t8) @v.0.U))) 15.63/16.00 (assume @p3 @t11) 15.63/16.00 (assume @p4 (forall @t13 (tptp.sort @t12 (tptp.eval_2a @v.0.A @v.0.X @v.0.X1 @v.0.X2)))) 15.63/16.00 (assume @p5 (forall @t14 (=> (tptp.sort tptp.tuple01 @v.0.J) (= (tptp.t2tb2 (tptp.tb2t2 @v.0.J)) @v.0.J)))) 15.63/16.00 (assume @p6 (forall @t16 (= (tptp.b_proj_2 @t15) @v.0.U1))) 15.63/16.00 (assume @p7 (forall (@list @v.0.C) (<= 0 (tptp.size_c1 @v.0.C)))) 15.63/16.00 (assume @p8 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.Z2 @v.1.U @v.1.U1) (=> @t18 (= (tptp.match_cont1 @v.0.A @t17 @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z)))) 15.63/16.00 (assume @p9 (forall (@list @v.0.A @v.1.X @v.1.X1) (tptp.sort @t19 (tptp.fc1 @v.0.A @v.1.X @v.1.X1)))) 15.63/16.00 (assume @p10 (forall @t23 (=> @t22 (tptp.eval_cont1 @t20 @v.0.V @v.0.R)))) 15.63/16.00 (assume @p11 (forall @t30 (=> (or (and @t29 @t28) (and @t27 @t26)) (tptp.eval_cont @t25 @t24 @v.1.R)))) 15.63/16.00 (assume @p12 (forall (@list @v.1.V @v.1.V1) (not (= tptp.empty (tptp.left @v.1.V @v.1.V1))))) 15.63/16.00 (assume @p13 (forall (@list @v.0.A @v.3.K @v.0.E1 @v.0.E2 @v.0.Kerr) (= (tptp.eval_2 @v.0.A (tptp.sub @v.0.E1 @v.0.E2) @v.3.K @v.0.Kerr) (tptp.eval_2 @v.0.A @v.0.E1 @t31 @v.0.Kerr)))) 15.63/16.00 (assume @p14 (forall @t32 (tptp.eval_cont tptp.i @t24 @t24))) 15.63/16.00 (assume @p15 (and (forall (@list @v.0.X @v.2.X1) (= (tptp.size_c (tptp.a1 @v.0.X @v.2.X1)) (+ @t35 @t33))) (= (tptp.size_c tptp.i1) 0) (forall (@list @v.2.X @v.2.X1) (= (tptp.size_c (tptp.a2 @v.2.X @v.2.X1)) (+ 1 @t33))))) 15.63/16.00 (assume @p16 (forall (@list @v.0.A @v.3.X @v.0.X1 @v.0.X2) (tptp.sort @v.0.A (tptp.match_value @v.0.A @v.3.X @v.0.X1 @v.0.X2)))) 15.63/16.00 (assume @p17 (forall @t14 (=> (tptp.sort @t36 @v.0.J) (= (tptp.t2tb1 (tptp.tb2t1 @v.0.J)) @v.0.J)))) 15.63/16.00 (assume @p18 (forall (@list @v.4.X) (tptp.sort @t36 (tptp.t2tb1 @v.4.X)))) 15.63/16.00 (assume @p19 (forall (@list @v.0.I) (= (tptp.tb2t1 (tptp.t2tb1 @v.0.I)) @v.0.I))) 15.63/16.00 (assume @p20 (forall @t38 (= (tptp.a2_proj_1 @t37) @v.0.U))) 15.63/16.00 (assume @p21 @t41) 15.63/16.00 (assume @p22 (forall (@list @v.0.V @v.2.V1) (not (= tptp.empty @t42)))) 15.63/16.00 (assume @p23 (forall (@list @v.0.V @v.3.V1) (not (= tptp.i @t43)))) 15.63/16.00 (assume @p24 (forall @t38 (= (tptp.a2_proj_2 @t37) @v.1.U1))) 15.63/16.00 (assume @p25 (forall @t14 (=> (tptp.sort @t44 @v.0.J) (= (tptp.t2tb4 (tptp.tb2t4 @v.0.J)) @v.0.J)))) 15.63/16.00 (assume @p26 (forall (@list @v.0.A @v.5.X @v.0.X1 @v.0.X2 @v.0.X3) (tptp.sort @v.0.A (tptp.match_cont @v.0.A @v.5.X @v.0.X1 @v.0.X2 @v.0.X3)))) 15.63/16.00 (assume @p27 (forall (@list @v.1.Z @v.1.Z1 @v.1.Z2) (=> (tptp.eval_cont @v.1.Z @v.1.Z1 @v.1.Z2) (or (exists @t51 (and (= @v.1.Z @v.2.K) (= @v.1.Z1 tptp.underflow) (= @v.1.Z2 tptp.underflow))) (exists @t32 (and (= @v.1.Z tptp.i) (= @v.1.Z2 @t24) @t46)) (exists @t30 (and @t46 @t45 (= @v.1.Z @t25) (=> @t29 @t28) (=> @t26 @t27))) (exists @t50 (and @t49 (= @v.1.Z @t47) @t46 @t45)))))) 15.63/16.00 (assume @p28 (forall @t52 (<= 1 (tptp.size_e @v.0.E)))) 15.63/16.00 (assume @p29 (forall @t54 (=> @t53 (= (tptp.match_bool @v.0.A tptp.false @v.0.Z @v.0.Z1) @v.0.Z1)))) 15.63/16.00 (assume @p30 (forall (@list @v.0.A @v.3.K) (and (forall @t64 (and (=> @t63 (= @t59 @t62)) (=> @t60 (= @t59 (tptp.infix_at @v.0.A tptp.value1 @v.3.K (tptp.t2tb @t57)))))) (forall @t56 (= (tptp.eval_1 @v.0.A @t55 @v.3.K) (tptp.eval_1 @v.0.A @v.0.X (tptp.fc1 @v.0.A @v.3.K @v.1.X1))))))) 15.63/16.00 (assume @p31 (forall (@list @v.0.A @v.0.V1 @v.3.K @v.0.Kerr @v.0.V2) (and (=> @t4 (= @t67 (tptp.infix_at @v.0.A tptp.int @v.3.K @t6))) (=> @t5 (= @t67 @t65))))) 15.63/16.00 (assume @p32 (forall @t68 (= (tptp.a1_proj_1 @t17) @v.1.U))) 15.63/16.00 (assume @p33 (forall (@list @v.2.V @v.3.V1) (not (= tptp.i (tptp.a @v.2.V @v.3.V1))))) 15.63/16.00 (assume @p34 (forall (@list @v.0.E @v.0.K) (= (tptp.eval_3 @v.0.E @v.0.K) (tptp.tb2t (tptp.match_value tptp.value1 @t69 (tptp.infix_at tptp.value1 tptp.int @t7 @t70) @t61))))) 15.63/16.00 (assume @p35 @t74) 15.63/16.00 (assume @p36 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.1.U @v.2.U1) (=> @t53 (= (tptp.match_expr @v.0.A @t75 @v.0.Z @v.0.Z1) @v.0.Z1)))) 15.63/16.00 (assume @p37 (forall @t77 (= (tptp.left_proj_1 @t76) @v.2.U))) 15.63/16.00 (assume @p38 (forall @t40 (= (tptp.tb2t (tptp.eval_1 tptp.value1 @v.0.P @t78)) @t39))) 15.63/16.00 (assume @p39 (forall (@list @v.1.U @v.1.U1 @v.0.V @v.4.V1) (not (= @t17 (tptp.a2 @v.0.V @v.4.V1))))) 15.63/16.00 (assume @p40 (forall (@list @v.6.X) (tptp.sort @t79 (tptp.t2tb5 @v.6.X)))) 15.63/16.00 (assume @p41 (forall (@list @v.2.U) (or (= @v.2.U (tptp.right (tptp.right_proj_1 @v.2.U) (tptp.right_proj_2 @v.2.U))) (= @v.2.U (tptp.left (tptp.left_proj_1 @v.2.U) (tptp.left_proj_2 @v.2.U))) (= @v.2.U tptp.empty)))) 15.63/16.00 (assume @p42 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.Z2 @v.1.U @v.0.U1) (=> @t53 (= (tptp.match_cont @v.0.A @t80 @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z1)))) 15.63/16.00 (assume @p43 (forall @t81 (= (tptp.a_proj_1 @t80) @v.1.U))) 15.63/16.00 (assume @p44 (forall @t77 (= (tptp.left_proj_2 @t76) @v.2.U1))) 15.63/16.00 (assume @p45 @t85) 15.63/16.00 (assume @p46 (forall (@list @v.1.I) (= (tptp.tb2t (tptp.t2tb @v.1.I)) @v.1.I))) 15.63/16.00 (assume @p47 (forall @t14 (=> (tptp.sort @t79 @v.0.J) (= (tptp.t2tb5 (tptp.tb2t5 @v.0.J)) @v.0.J)))) 15.63/16.00 (assume @p48 (forall @t86 (= (tptp.sub_proj_2 @t75) @v.2.U1))) 15.63/16.00 (assume @p49 (forall @t81 (= (tptp.a_proj_2 @t80) @v.0.U1))) 15.63/16.00 (assume @p50 (forall (@list @v.2.X @v.0.Y @v.2.Z) (=> (<= @v.2.X @v.0.Y) (=> (<= 0 @v.2.Z) (<= (* @v.2.X @v.2.Z) (* @v.0.Y @v.2.Z)))))) 15.63/16.00 (assume @p51 (forall (@list @v.0.A @v.1.X @v.4.X1) (tptp.sort @t19 (tptp.fc @v.0.A @v.1.X @v.4.X1)))) 15.63/16.00 (assume @p52 (forall @t51 (tptp.eval_cont @v.2.K tptp.underflow tptp.underflow))) 15.63/16.00 (assume @p53 (forall (@list @v.0.U @v.2.V @v.1.V1) (not (= @t8 (tptp.sub @v.2.V @v.1.V1))))) 15.63/16.00 (assume @p54 (forall @t38 (not (= @t37 tptp.i1)))) 15.63/16.00 (assume @p55 (forall (@list @v.2.I) (= (tptp.tb2t5 (tptp.t2tb5 @v.2.I)) @v.2.I))) 15.63/16.00 (assume @p56 (forall (@list @v.0.A @v.3.K @v.0.X @v.5.V1) (= (tptp.infix_at @v.0.A tptp.value1 (tptp.fc1 @v.0.A @v.3.K @v.0.X) (tptp.t2tb @v.5.V1)) (tptp.match_value @v.0.A @v.5.V1 (tptp.eval_1 @v.0.A @v.0.X (tptp.fc @v.0.A @v.3.K (tptp.vnum_proj_1 @v.5.V1))) @t62)))) 15.63/16.00 (assume @p57 (and (= (tptp.size_c2 tptp.empty) 0) (forall @t89 (= (tptp.size_c2 @t88) (+ (+ 2 (tptp.size_c2 @v.7.X)) @t87))) (forall @t73 (= (tptp.size_c2 @t72) (+ 1 (tptp.size_c2 @v.3.X1)))))) 15.63/16.00 (assume @p58 (forall @t92 (=> @t91 (tptp.eval_cont1 @t90 @v.0.V @v.0.R)))) 15.63/16.00 (assume @p59 (forall @t93 (=> @t18 (= (tptp.match_cont @v.0.A tptp.i @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z)))) 15.63/16.00 (assume @p60 (forall @t9 (= (tptp.vnum_proj_1 @t94) @v.0.U))) 15.63/16.00 (assume @p61 (forall @t52 (<= 1 (tptp.size_e1 @v.0.E)))) 15.63/16.00 (assume @p62 (and (forall @t64 (= (tptp.size_e1 @t58) 1)) (forall @t56 (= (tptp.size_e1 @t55) (+ (+ 3 @t34) @t87))))) 15.63/16.00 (assume @p63 (forall @t16 (= (tptp.b_proj_1 @t15) @v.0.U))) 15.63/16.00 (assume @p64 (forall @t93 (=> @t95 (= (tptp.match_cont1 @v.0.A tptp.i1 @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z2)))) 15.63/16.00 (assume @p65 (forall @t96 (= @v.3.U tptp.tuple02))) 15.63/16.00 (assume @p66 (forall (@list @v.0.A @v.8.X @v.0.X1 @v.0.X2) (tptp.sort @v.0.A (tptp.match_bool @v.0.A @v.8.X @v.0.X1 @v.0.X2)))) 15.63/16.00 (assume @p67 (forall (@list @v.0.A) (tptp.sort @v.0.A (tptp.witness @v.0.A)))) 15.63/16.00 (assume @p68 (forall @t14 (= (tptp.t2tb (tptp.tb2t @v.0.J)) @v.0.J))) 15.63/16.00 (assume @p69 (forall (@list @v.1.C) (<= 0 (tptp.size_c2 @v.1.C)))) 15.63/16.00 (assume @p70 (forall @t13 (tptp.sort @v.0.A (tptp.match_expr @v.0.A @v.0.X @v.0.X1 @v.0.X2)))) 15.63/16.00 (assume @p71 (forall (@list @v.0.A @v.0.E @v.3.K) (= (tptp.eval_1 @v.0.A @v.0.E @v.3.K) (tptp.infix_at @v.0.A tptp.value1 @v.3.K (tptp.t2tb @t69))))) 15.63/16.00 (assume @p72 (forall @t54 (=> @t18 (= (tptp.match_bool @v.0.A tptp.true @v.0.Z @v.0.Z1) @v.0.Z)))) 15.63/16.00 (assume @p73 (forall (@list @v.9.X) (tptp.sort @t44 (tptp.t2tb4 @v.9.X)))) 15.63/16.00 (assume @p74 (forall (@list @v.4.U) (or (= @v.4.U tptp.true) (= @v.4.U tptp.false)))) 15.63/16.00 (assume @p75 (forall @t97 (=> @t18 (= (tptp.match_value @v.0.A @t94 @v.0.Z @v.0.Z1) @v.0.Z)))) 15.63/16.00 (assume @p76 (forall (@list @v.0.A @v.2.X @v.0.X1 @v.0.X2) (tptp.sort @t12 (tptp.eval_2b @v.0.A @v.2.X @v.0.X1 @v.0.X2)))) 15.63/16.00 (assume @p77 (forall @t99 (= (tptp.right_proj_1 @t98) @v.0.U))) 15.63/16.00 (assume @p78 (forall (@list @v.0.A @v.0.X @v.0.X1) (tptp.sort @v.0.A (tptp.eval_1 @v.0.A @v.0.X @v.0.X1)))) 15.63/16.00 (assume @p79 (forall (@list @v.2.C) (<= 0 (tptp.size_c @v.2.C)))) 15.63/16.00 (assume @p80 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.Z2 @v.0.U @v.3.U1) (=> @t95 (= (tptp.match_context @v.0.A @t98 @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z2)))) 15.63/16.00 (assume @p81 (forall (@list @v.3.Z @v.2.Z1 @v.2.Z2) (=> (tptp.eval_cont1 @v.3.Z @v.2.Z1 @v.2.Z2) (or (exists @t32 (and (= @v.3.Z tptp.i1) (= @v.2.Z2 @v.0.V) @t101)) (exists @t23 (and @t22 (= @v.3.Z @t20) @t101 @t100)) (exists @t92 (and (= @v.3.Z @t90) @t101 @t100 @t91)))))) 15.63/16.00 (assume @p82 (forall (@list @v.3.X) (tptp.sort tptp.value1 (tptp.t2tb @v.3.X)))) 15.63/16.00 (assume @p83 (forall @t68 (= (tptp.a1_proj_2 @t17) @v.1.U1))) 15.63/16.00 (assume @p84 (forall (@list @v.10.X) (tptp.sort tptp.tuple01 (tptp.t2tb2 @v.10.X)))) 15.63/16.00 (assume @p85 (forall @t97 (=> @t18 (= (tptp.match_expr @v.0.A @t8 @v.0.Z @v.0.Z1) @v.0.Z)))) 15.63/16.00 (assume @p86 (forall (@list @v.0.A @v.3.K @v.2.X @v.1.V2) (and (=> @t104 (= @t102 (tptp.match_value @v.0.A @v.1.V2 (tptp.infix_at @v.0.A tptp.value1 @v.3.K (tptp.t2tb (tptp.vnum (- @v.2.X @t103)))) @t62))) (=> (not @t104) (= @t102 (tptp.match_value @v.0.A @v.1.V2 @t62 @t62)))))) 15.63/16.00 (assume @p87 (forall @t93 (=> @t18 (= (tptp.match_context @v.0.A tptp.empty @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z)))) 15.63/16.00 (assume @p88 (forall @t54 (=> @t53 (= (tptp.match_value @v.0.A tptp.underflow @v.0.Z @v.0.Z1) @v.0.Z1)))) 15.63/16.00 (assume @p89 (forall (@list @v.3.I) (= (tptp.tb2t4 (tptp.t2tb4 @v.3.I)) @v.3.I))) 15.63/16.00 (assume @p90 @t107) 15.63/16.00 (assume @p91 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.Z2 @v.0.U @v.0.U1) (=> @t95 (= (tptp.match_cont @v.0.A @t15 @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z2)))) 15.63/16.00 (assume @p92 (forall (@list @v.1.C @v.0.E) (=> (= @t69 tptp.underflow) (= (tptp.eval_0 (tptp.recompose @v.1.C @v.0.E)) tptp.underflow)))) 15.63/16.00 (assume @p93 (forall (@list @v.4.I) (= (tptp.tb2t3 (tptp.t2tb3 @v.4.I)) @v.4.I))) 15.63/16.00 (assume @p94 (forall (@list @v.2.U @v.2.U1 @v.0.V @v.2.V1) (not (= @t76 @t42)))) 15.63/16.00 (assume @p95 (forall @t68 (not (= @t17 tptp.i1)))) 15.63/16.00 (assume @p96 (forall (@list @v.0.A @v.7.X @v.0.X1 @v.0.X2 @v.0.X3) (tptp.sort @v.0.A (tptp.match_context @v.0.A @v.7.X @v.0.X1 @v.0.X2 @v.0.X3)))) 15.63/16.00 (assume @p97 (forall @t14 (= (tptp.t2tb3 (tptp.tb2t3 @v.0.J)) @v.0.J))) 15.63/16.00 (assume @p98 (and (forall @t64 (= (tptp.size_e @t58) 1)) (forall @t56 (= (tptp.size_e @t55) (+ (+ 3 (tptp.size_e @v.0.X)) (tptp.size_e @v.1.X1)))))) 15.63/16.00 (assume @p99 (forall @t9 (not (= @t94 tptp.underflow)))) 15.63/16.00 (assume @p100 (forall (@list @v.1.U) (or (= @v.1.U (tptp.cte (tptp.cte_proj_1 @v.1.U))) (= @v.1.U (tptp.sub (tptp.sub_proj_1 @v.1.U) (tptp.sub_proj_2 @v.1.U)))))) 15.63/16.00 (assume @p101 (forall @t96 (= (tptp.tb2t (tptp.infix_at tptp.value1 tptp.tuple01 @t108 (tptp.t2tb2 @v.3.U))) tptp.underflow))) 15.63/16.00 (assume @p102 (forall (@list @v.0.A @v.0.E @v.0.Kerr @v.3.K) (= (tptp.eval_2 @v.0.A @v.0.E @v.3.K @v.0.Kerr) (tptp.match_value @v.0.A @t69 (tptp.infix_at @v.0.A tptp.int @v.3.K @t70) @t65)))) 15.63/16.00 (assume @p103 (forall (@list @v.5.U) (or (= @v.5.U tptp.underflow) (= @v.5.U (tptp.vnum (tptp.vnum_proj_1 @v.5.U)))))) 15.63/16.00 (assume @p104 (and (forall @t64 (= (tptp.eval_01 @t58) @v.2.X)) (forall @t56 (= (tptp.eval_01 @t55) (- (tptp.eval_01 @v.0.X) (tptp.eval_01 @v.1.X1)))))) 15.63/16.00 (assume @p105 (forall (@list @v.5.I) (= (tptp.tb2t2 (tptp.t2tb2 @v.5.I)) @v.5.I))) 15.63/16.00 (assume @p106 (not (= tptp.true tptp.false))) 15.63/16.00 (assume @p107 (and @t117 @t115)) 15.63/16.01 (assume @p108 (forall @t99 (= (tptp.right_proj_2 @t98) @v.3.U1))) 15.63/16.01 (assume @p109 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.Z2 @v.2.U @v.2.U1) (=> @t53 (= (tptp.match_context @v.0.A @t76 @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z1)))) 15.63/16.01 (assume @p110 @t118) 15.63/16.01 (assume @p111 (forall (@list @v.0.A @v.11.X @v.0.X1 @v.0.X2 @v.0.X3) (tptp.sort @v.0.A (tptp.match_cont1 @v.0.A @v.11.X @v.0.X1 @v.0.X2 @v.0.X3)))) 15.63/16.01 (assume @p112 (and (forall (@list @v.0.X @v.5.X1) (= (tptp.size_c1 (tptp.a @v.0.X @v.5.X1)) (+ @t35 @t119))) (forall (@list @v.2.X @v.5.X1) (= (tptp.size_c1 (tptp.b @v.2.X @v.5.X1)) (+ 1 @t119))) (= (tptp.size_c1 tptp.i) 0))) 15.63/16.01 (assume @p113 (forall (@list @v.0.A @v.0.E2 @v.3.K @v.0.Kerr @v.0.V1) (= (tptp.infix_at @v.0.A tptp.int @t31 @t120) (tptp.eval_2 @v.0.A @v.0.E2 @t66 @v.0.Kerr)))) 15.63/16.01 (assume @p114 (forall (@list @v.6.U) (or (= @v.6.U tptp.i) (= @v.6.U (tptp.b (tptp.b_proj_1 @v.6.U) (tptp.b_proj_2 @v.6.U))) (= @v.6.U (tptp.a (tptp.a_proj_1 @v.6.U) (tptp.a_proj_2 @v.6.U)))))) 15.63/16.01 (assume @p115 (forall (@list @v.1.N) (= (tptp.tb2t (tptp.infix_at tptp.value1 tptp.value1 @t78 (tptp.t2tb @v.1.N))) @v.1.N))) 15.63/16.01 (assume @p116 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.Z2 @v.0.U @v.1.U1) (=> @t53 (= (tptp.match_cont1 @v.0.A @t37 @v.0.Z @v.0.Z1 @v.0.Z2) @v.0.Z1)))) 15.63/16.01 (assume @p117 (forall @t50 (=> @t49 (tptp.eval_cont @t47 @t24 @v.1.R)))) 15.63/16.01 (assume @p118 (forall (@list @v.1.U @v.0.U1 @v.0.V @v.3.V1) (not (= @t80 @t43)))) 15.63/16.01 (assume @p119 (forall @t32 (tptp.eval_cont1 tptp.i1 @v.0.V @v.0.V))) 15.63/16.01 (assume @p120 (forall (@list @v.7.U) (or (= @v.7.U tptp.i1) (= @v.7.U (tptp.a2 (tptp.a2_proj_1 @v.7.U) (tptp.a2_proj_2 @v.7.U))) (= @v.7.U (tptp.a1 (tptp.a1_proj_1 @v.7.U) (tptp.a1_proj_2 @v.7.U)))))) 15.63/16.01 (assume @p121 (forall (@list @v.0.E2 @v.0.K @v.0.V1) (= (tptp.tb2t (tptp.infix_at tptp.value1 tptp.int (tptp.t2tb4 (tptp.eval_3a @v.0.E2 @v.0.K)) @t120)) (tptp.eval_3 @v.0.E2 @t2)))) 15.63/16.01 (assume @p122 (forall @t13 (tptp.sort @v.0.A (tptp.eval_2 @v.0.A @v.0.X @v.0.X1 @v.0.X2)))) 15.63/16.01 (assume @p123 (forall (@list @v.0.A @v.0.B @v.1.X @v.0.X1) (tptp.sort @v.0.B (tptp.infix_at @v.0.B @v.0.A @v.1.X @v.0.X1)))) 15.63/16.01 (assume @p124 (forall @t64 (tptp.sort tptp.int @t105))) 15.63/16.01 (assume @p125 (forall @t86 (= (tptp.sub_proj_1 @t75) @v.1.U))) 15.63/16.01 (assume @p126 (forall @t40 (= (tptp.tb2t (tptp.eval_2 tptp.value1 @v.0.P @t10 @t108)) @t39))) 15.63/16.01 (assume @p127 (forall (@list @v.0.A @v.3.K @v.0.Kerr) (and (forall @t64 (and (=> @t60 (= @t121 (tptp.infix_at @v.0.A tptp.int @v.3.K @t105))) (=> @t63 (= @t121 @t65)))) (forall @t56 (= (tptp.eval_2 @v.0.A @t55 @v.3.K @v.0.Kerr) (tptp.eval_2 @v.0.A @v.0.X (tptp.eval_2a @v.0.A @v.1.X1 @v.3.K @v.0.Kerr) @v.0.Kerr)))))) 15.63/16.01 (assume @p128 true) 15.63/16.01 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 15.63/16.01 ; trust MACRO_SR_EQ_INTRO 15.63/16.01 (step @p129 :rule trust :premises () :args ((= @t74 (not (forall @t123 @t122))))) 15.63/16.01 (step @p130 :rule eq_resolve :premises (@p35 @p129)) 15.63/16.01 (step @p131 :rule skolemize :premises (@p130)) 15.63/16.01 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 15.63/16.01 ; trust MACRO_SR_PRED_INTRO 15.63/16.01 (step @p132 :rule trust :premises () :args ((= (not @t127) @t126))) 15.63/16.01 (step @p133 :rule refl :args (@t138)) 15.63/16.01 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (or)) 15.63/16.01 (step @p135 :rule cnf_or_neg :args (@t138 0)) 15.63/16.01 (step @p136 :rule eq_resolve :premises (@p135 @p134)) 15.63/16.01 (step @p137 :rule reordering :premises (@p136) :args ((or @t126 @t138))) 15.63/16.01 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p138 :rule trust :premises (@p137 @p131) :args (@t126)) 15.63/16.01 (step @p139 :rule cnf_or_neg :args (@t138 1)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p140 :rule trust :premises (@p139 @p131) :args (@t139)) 15.63/16.01 ; trust MACRO_SR_EQ_INTRO 15.63/16.01 (step @p141 :rule trust :premises () :args ((= @t117 (and (forall (@list @v.0.BOUND_VARIABLE_2445) (or (>= @v.0.BOUND_VARIABLE_2445 0) (= tptp.underflow (tptp.eval_0 (tptp.cte @v.0.BOUND_VARIABLE_2445))))) @t140)))) 15.63/16.01 (step @p142 :rule and_elim :premises (@p107) :args (0)) 15.63/16.01 (step @p143 :rule eq_resolve :premises (@p142 @p141)) 15.63/16.01 (step @p144 :rule and_elim :premises (@p143) :args (1)) 15.63/16.01 (assume-push @p145 @t140) 15.63/16.01 (step @p146 :rule instantiate :premises (@p144) :args ((@list @t130))) 15.63/16.01 (step-pop @p319 :rule scope :premises (@p146)) 15.63/16.01 (step @p147 :rule process_scope :premises (@p319) :args ((or @t146 @t144))) 15.63/16.01 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p149 :rule trust :premises (@p147) :args ((=> @t140 @t148))) 15.63/16.01 (step @p150 :rule implies_elim :premises (@p149)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p151 :rule trust :premises (@p150 @p144) :args (@t148)) 15.63/16.01 ; trust MACRO_SR_EQ_INTRO 15.63/16.01 (step @p152 :rule trust :premises () :args ((= @t115 (and @t154 (forall (@list @v.0.BOUND_VARIABLE_2549 @v.0.BOUND_VARIABLE_2551) (or (not (= tptp.underflow (tptp.eval_0 @v.0.BOUND_VARIABLE_2549))) (= tptp.underflow (tptp.eval_0 (tptp.sub @v.0.BOUND_VARIABLE_2549 @v.0.BOUND_VARIABLE_2551))))))))) 15.63/16.01 (step @p153 :rule and_elim :premises (@p107) :args (1)) 15.63/16.01 (step @p154 :rule eq_resolve :premises (@p153 @p152)) 15.63/16.01 (step @p155 :rule and_elim :premises (@p154) :args (0)) 15.63/16.01 (assume-push @p156 @t154) 15.63/16.01 (step @p157 :rule instantiate :premises (@p155) :args ((@list @t141 @t128 @t130 @t125))) 15.63/16.01 (step-pop @p320 :rule scope :premises (@p157)) 15.63/16.01 (step @p158 :rule process_scope :premises (@p320) :args ((or (not @t144) (and (or (not @t163) (and (or (not @t161) (= (tptp.vnum @t160) @t156)) (or @t161 @t157))) @t159)))) 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p160 :rule trust :premises (@p158) :args ((=> @t154 @t173))) 15.63/16.01 (step @p161 :rule implies_elim :premises (@p160)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p162 :rule trust :premises (@p161 @p155) :args (@t173)) 15.63/16.01 (assume-push @p163 @t41) 15.63/16.01 (step @p164 :rule instantiate :premises (@p21) :args ((@list @t133))) 15.63/16.01 (step-pop @p321 :rule scope :premises (@p164)) 15.63/16.01 (step @p165 :rule process_scope :premises (@p321) :args ((= @t175 @t174))) 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p167 :rule trust :premises (@p165) :args ((=> @t41 @t176))) 15.63/16.01 (step @p168 :rule implies_elim :premises (@p167)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p169 :rule trust :premises (@p168 @p21) :args (@t176)) 15.63/16.01 (assume-push @p170 @t11) 15.63/16.01 (step @p171 :rule instantiate :premises (@p3) :args ((@list @t132))) 15.63/16.01 (step-pop @p322 :rule scope :premises (@p171)) 15.63/16.01 (step @p172 :rule process_scope :premises (@p322) :args ((= @t177 @t164))) 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p174 :rule trust :premises (@p172) :args ((=> @t11 @t178))) 15.63/16.01 (step @p175 :rule implies_elim :premises (@p174)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p176 :rule trust :premises (@p175 @p3) :args (@t178)) 15.63/16.01 ; trust MACRO_SR_EQ_INTRO 15.63/16.01 (step @p177 :rule trust :premises () :args ((= @t107 (and (forall (@list @v.0.BOUND_VARIABLE_2340 @v.0.X @v.1.X1) (= (tptp.eval_3 @t55 @v.0.BOUND_VARIABLE_2340) (tptp.eval_3 @v.0.X (tptp.eval_3a @v.1.X1 @v.0.BOUND_VARIABLE_2340)))) (forall (@list @v.0.BOUND_VARIABLE_2349 @v.0.BOUND_VARIABLE_2314) (or (>= @v.0.BOUND_VARIABLE_2314 0) (= tptp.underflow (tptp.eval_3 (tptp.cte @v.0.BOUND_VARIABLE_2314) @v.0.BOUND_VARIABLE_2349)))) @t179)))) 15.63/16.01 (step @p178 :rule eq_resolve :premises (@p90 @p177)) 15.63/16.01 (step @p179 :rule and_elim :premises (@p178) :args (2)) 15.63/16.01 (assume-push @p180 @t179) 15.63/16.01 (step @p181 :rule instantiate :premises (@p179) :args ((@list tptp.vnum_closure @t132))) 15.63/16.01 (step-pop @p323 :rule scope :premises (@p181)) 15.63/16.01 (step @p182 :rule process_scope :premises (@p323) :args ((or (not (>= @t132 0)) @t180))) 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p184 :rule trust :premises (@p182) :args ((=> @t179 @t181))) 15.63/16.01 (step @p185 :rule implies_elim :premises (@p184)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p186 :rule trust :premises (@p185 @p179) :args (@t181)) 15.63/16.01 (step @p187 :rule cnf_or_pos :args (@t181)) 15.63/16.01 (step @p188 :rule reordering :premises (@p187) :args ((or @t137 @t180 (not @t181)))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p189 :rule trust :premises (@p188 @p140 @p186) :args (@t180)) 15.63/16.01 ; trust MACRO_SR_EQ_INTRO 15.63/16.01 (step @p190 :rule trust :premises () :args ((= @t85 @t182))) 15.63/16.01 (step @p191 :rule eq_resolve :premises (@p45 @p190)) 15.63/16.01 (assume-push @p192 @t182) 15.63/16.01 (step @p193 :rule instantiate :premises (@p191) :args ((@list @t129 @t133 @t155))) 15.63/16.01 (step-pop @p324 :rule scope :premises (@p193)) 15.63/16.01 (step @p194 :rule process_scope :premises (@p324) :args ((or (not (= @t156 @t174)) @t183))) 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p196 :rule trust :premises (@p194) :args ((=> @t182 @t186))) 15.63/16.01 (step @p197 :rule implies_elim :premises (@p196)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p198 :rule trust :premises (@p197 @p191) :args (@t186)) 15.63/16.01 (step @p199 :rule cnf_or_neg :args (@t138 2)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p200 :rule trust :premises (@p199 @p131) :args ((not @t135))) 15.63/16.01 (step @p201 :rule false_intro :premises (@p200)) 15.63/16.01 ; trust MACRO_SR_EQ_INTRO 15.63/16.01 (step @p202 :rule trust :premises () :args ((= @t118 (and (forall (@list @v.0.BOUND_VARIABLE_2590 @v.2.X @v.3.X1) (= (tptp.recompose @t72 @v.0.BOUND_VARIABLE_2590) (tptp.recompose @v.3.X1 (tptp.sub @t58 @v.0.BOUND_VARIABLE_2590)))) (forall (@list @v.0.BOUND_VARIABLE_2599 @v.7.X @v.1.X1) (= (tptp.recompose @t88 @v.0.BOUND_VARIABLE_2599) (tptp.recompose @v.7.X (tptp.sub @v.0.BOUND_VARIABLE_2599 @v.1.X1)))) (forall (@list @v.0.BOUND_VARIABLE_2608) (= @v.0.BOUND_VARIABLE_2608 (tptp.recompose tptp.empty @v.0.BOUND_VARIABLE_2608))))))) 15.63/16.01 (step @p203 :rule eq_resolve :premises (@p110 @p202)) 15.63/16.01 (step @p204 :rule and_elim :premises (@p203) :args (0)) 15.63/16.01 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t128 @t130 @t129))) 15.63/16.01 (step @p206 :rule symm :premises (@p205)) 15.63/16.01 (step @p207 :rule cong :premises (@p206) :args (tptp.eval_0)) 15.63/16.01 (step @p208 :rule refl :args (@t134)) 15.63/16.01 (step @p209 :rule cong :premises (@p208 @p207) :args (=)) 15.63/16.01 (step @p210 :rule trans :premises (@p209 @p201)) 15.63/16.01 (step @p211 :rule false_elim :premises (@p210)) 15.63/16.01 (step @p212 :rule cnf_or_pos :args (@t186)) 15.63/16.01 (step @p213 :rule reordering :premises (@p212) :args ((or @t183 @t185 (not @t186)))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p214 :rule trust :premises (@p213 @p211 @p198) :args (@t185)) 15.63/16.01 (step @p215 :rule refl :args ((not @t176))) 15.63/16.01 (step @p216 :rule refl :args ((not @t178))) 15.63/16.01 (step @p217 :rule refl :args (@t187)) 15.63/16.01 (step @p218 :rule refl :args ((not @t180))) 15.63/16.01 ; trust MACRO_SR_PRED_INTRO 15.63/16.01 (step @p219 :rule trust :premises () :args ((= (not @t185) @t184))) 15.63/16.01 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217 @p216 @p215) :args (or)) 15.63/16.01 (assume-push @p221 @t176) 15.63/16.01 (assume-push @p222 @t178) 15.63/16.01 (assume-push @p223 @t180) 15.63/16.01 (assume-push @p224 @t165) 15.63/16.01 (assume-push @p225 @t185) 15.63/16.01 (step @p226 :rule symm :premises (@p224)) 15.63/16.01 (step @p227 :rule trans :premises (@p169 @p189 @p171 @p226)) 15.63/16.01 (step @p228 :rule true_intro :premises (@p227)) 15.63/16.01 (step @p229 :rule false_intro :premises (@p214)) 15.63/16.01 (step @p230 :rule symm :premises (@p229)) 15.63/16.01 (step @p231 :rule trans :premises (@p230 @p228)) 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p232 false :rule trust :premises (@p231) :args (false)) 15.63/16.01 (step-pop @p325 :rule scope :premises (@p232)) 15.63/16.01 (step-pop @p326 :rule scope :premises (@p325)) 15.63/16.01 (step-pop @p327 :rule scope :premises (@p326)) 15.63/16.01 (step-pop @p328 :rule scope :premises (@p327)) 15.63/16.01 (step-pop @p329 :rule scope :premises (@p328)) 15.63/16.01 (step @p233 :rule process_scope :premises (@p329) :args (false)) 15.63/16.01 (assume-push @p239 @t185) 15.63/16.01 (assume-push @p240 @t180) 15.63/16.01 (assume-push @p241 @t165) 15.63/16.01 (assume-push @p242 @t178) 15.63/16.01 (assume-push @p243 @t176) 15.63/16.01 (step @p244 :rule and_intro :premises (@p169 @p176 @p189 @p224 @p214)) 15.63/16.01 (step-pop @p330 :rule scope :premises (@p244)) 15.63/16.01 (step-pop @p331 :rule scope :premises (@p330)) 15.63/16.01 (step-pop @p332 :rule scope :premises (@p331)) 15.63/16.01 (step-pop @p333 :rule scope :premises (@p332)) 15.63/16.01 (step-pop @p334 :rule scope :premises (@p333)) 15.63/16.01 (step @p245 :rule process_scope :premises (@p334) :args (@t188)) 15.63/16.01 (step @p251 :rule implies_elim :premises (@p245)) 15.63/16.01 (step @p252 :rule resolution :premises (@p251 @p233) :args (true @t188)) 15.63/16.01 (step @p253 :rule not_and :premises (@p252)) 15.63/16.01 (step @p254 :rule eq_resolve :premises (@p253 @p220)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p255 :rule trust :premises (@p254 @p214 @p189 @p176 @p169) :args (@t187)) 15.63/16.01 (step @p256 :rule cnf_or_pos :args (@t166)) 15.63/16.01 (step @p257 :rule reordering :premises (@p256) :args ((or @t137 @t165 @t189))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p258 :rule trust :premises (@p257 @p140 @p255) :args (@t189)) 15.63/16.01 (step @p259 :rule cnf_and_pos :args (@t167 0)) 15.63/16.01 (step @p260 :rule reordering :premises (@p259) :args ((or @t166 @t190))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p261 :rule trust :premises (@p260 @p258) :args (@t190)) 15.63/16.01 (assume-push @p262 @t140) 15.63/16.01 (step @p263 :rule instantiate :premises (@p144) :args ((@list @t125))) 15.63/16.01 (step-pop @p335 :rule scope :premises (@p263)) 15.63/16.01 (step @p264 :rule process_scope :premises (@p335) :args ((or @t127 @t163))) 15.63/16.01 ; trust MACRO_SR_PRED_ELIM 15.63/16.01 (step @p266 :rule trust :premises (@p264) :args ((=> @t140 @t191))) 15.63/16.01 (step @p267 :rule implies_elim :premises (@p266)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p268 :rule trust :premises (@p267 @p144) :args (@t191)) 15.63/16.01 (step @p269 :rule cnf_or_pos :args (@t191)) 15.63/16.01 (step @p270 :rule reordering :premises (@p269) :args ((or @t127 @t168 (not @t191)))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p271 :rule trust :premises (@p270 @p138 @p268) :args (@t168)) 15.63/16.01 (step @p272 :rule cnf_or_pos :args (@t170)) 15.63/16.01 (step @p273 :rule reordering :premises (@p272) :args ((or @t169 @t167 @t192))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p274 :rule trust :premises (@p273 @p271 @p261) :args (@t192)) 15.63/16.01 (step @p275 :rule cnf_and_pos :args (@t171 0)) 15.63/16.01 (step @p276 :rule reordering :premises (@p275) :args ((or @t170 @t193))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p277 :rule trust :premises (@p276 @p274) :args (@t193)) 15.63/16.01 (step @p278 :rule cnf_or_pos :args (@t173)) 15.63/16.01 (step @p279 :rule reordering :premises (@p278) :args ((or @t172 @t171 (not @t173)))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p280 :rule trust :premises (@p279 @p277 @p162) :args (@t172)) 15.63/16.01 (step @p281 :rule cnf_or_pos :args (@t148)) 15.63/16.01 (step @p282 :rule reordering :premises (@p281) :args ((or @t146 @t147 (not @t148)))) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p283 :rule trust :premises (@p282 @p280 @p151) :args (@t146)) 15.63/16.01 ; trust MACRO_SR_PRED_INTRO 15.63/16.01 (step @p284 :rule trust :premises () :args ((= (not @t146) @t145))) 15.63/16.01 ; trust MACRO_SR_PRED_INTRO 15.63/16.01 (step @p285 :rule trust :premises () :args ((= (not @t139) @t137))) 15.63/16.01 (step @p286 :rule refl :args (@t127)) 15.63/16.01 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args (or)) 15.63/16.01 (assume-push @p288 @t146) 15.63/16.01 (assume-push @p289 @t126) 15.63/16.01 (assume-push @p290 @t139) 15.63/16.01 (assume-push @p291 @t194) 15.63/16.01 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 15.63/16.01 ; trust MACRO_SR_PRED_TRANSFORM 15.63/16.01 (step @p292 :rule trust :premises (@p288) :args ((< @t130 0))) 15.63/16.01 ; trust MACRO_SR_PRED_TRANSFORM 15.63/16.01 (step @p293 :rule trust :premises (@p140) :args ((< @t136 1))) 15.63/16.01 (step @p294 :rule int_tight_ub :premises (@p293)) 15.63/16.01 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 15.63/16.01 ; trust MACRO_ARITH_SCALE_SUM_UB 15.63/16.01 (step @p295 :rule trust :premises (@p294 @p138 @p292) :args ((< (+ @t136 @t131 @t130) (+ 0 (* -1 0) 0)))) 15.63/16.01 ; trust MACRO_SR_PRED_TRANSFORM 15.63/16.01 (step @p296 false :rule trust :premises (@p295) :args (false)) 15.63/16.01 (step-pop @p336 :rule scope :premises (@p296)) 15.63/16.01 (step @p297 :rule process_scope :premises (@p336) :args (false)) 15.63/16.01 ; trust MACRO_SR_PRED_TRANSFORM 15.63/16.01 (step @p299 :rule trust :premises (@p297) :args ((> @t136 0))) 15.63/16.01 ; trust MACRO_SR_PRED_TRANSFORM 15.63/16.01 (step @p300 :rule trust :premises (@p299) :args ((not @t194))) 15.63/16.01 (step @p301 :rule int_tight_ub :premises (@p293)) 15.63/16.01 (step @p302 false :rule contra :premises (@p301 @p300)) 15.63/16.01 (step-pop @p337 :rule scope :premises (@p302)) 15.63/16.01 (step-pop @p338 :rule scope :premises (@p337)) 15.63/16.01 (step-pop @p339 :rule scope :premises (@p338)) 15.63/16.01 (step @p303 :rule process_scope :premises (@p339) :args (false)) 15.63/16.01 (assume-push @p307 @t126) 15.63/16.01 (assume-push @p308 @t139) 15.63/16.01 (assume-push @p309 @t146) 15.63/16.01 (step @p310 :rule and_intro :premises (@p288 @p138 @p140)) 15.63/16.01 (step-pop @p340 :rule scope :premises (@p310)) 15.63/16.01 (step-pop @p341 :rule scope :premises (@p340)) 15.63/16.01 (step-pop @p342 :rule scope :premises (@p341)) 15.63/16.01 (step @p311 :rule process_scope :premises (@p342) :args (@t195)) 15.63/16.01 (step @p315 :rule implies_elim :premises (@p311)) 15.63/16.01 (step @p316 :rule resolution :premises (@p315 @p303) :args (true @t195)) 15.63/16.01 (step @p317 :rule not_and :premises (@p316)) 15.63/16.01 (step @p318 :rule eq_resolve :premises (@p317 @p287)) 15.63/16.01 ; trust MACRO_RESOLUTION_TRUST 15.63/16.01 (step @p319 false :rule trust :premises (@p318 @p283 @p140 @p138) :args (false)) 15.63/16.01 15.63/16.01 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.xfO3AtYDzy/cvc5---1.0.5_7792.smt2 15.63/16.01 % cvc5---1.0.5 exiting 15.63/16.01 % cvc5---1.0.5 exiting 15.63/16.01 EOF