%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV431^2 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:31 AM UTC 2026 % Result : Theorem 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV431^2 : TPTP v9.2.1. Released v3.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n014.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 20:17:43 EDT 2026 % 0.15/0.33 % CPUTime : % 0.25/0.49 %----Proving TH0 % 0.45/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-sort tptp.individuals 0) % 0.45/0.64 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.b (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.a (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.icl_true (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.s (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.icl_false (-> $$unsorted Bool)) % 0.45/0.64 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.45/0.64 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.45/0.64 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.45/0.64 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.64 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.64 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.45/0.64 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.45/0.64 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.45/0.64 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.45/0.64 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.64 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.64 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.45/0.64 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.45/0.64 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.45/0.64 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.45/0.64 (define tptp.icl_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) _let_2) _let_1))))) % 0.45/0.64 (define tptp.icl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.45/0.64 (define tptp.icl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.45/0.64 (define tptp.icl_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 0.45/0.64 (define tptp.icl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.45/0.64 (define tptp.icl_says () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "S" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mor _let_3) _let_2)) _let_1)))))) % 0.45/0.64 (define tptp.iclval () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.45/0.64 (define tptp.icl_impl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.45/0.64 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.45/0.64 (define @t2 () (_ tptp.mbox tptp.rel)) % 0.45/0.64 (define @t3 () (@var "B" (-> $$unsorted Bool))) % 0.45/0.64 (define @t4 () (_ @t2 @t3)) % 0.45/0.64 (define @t5 () (@list @t3)) % 0.45/0.64 (define @t6 () (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t4) (_ @t2 @t4))))) % 0.45/0.64 (define @t7 () (_ tptp.icl_atom tptp.s)) % 0.45/0.64 (define @t8 () (_ tptp.icl_princ tptp.b)) % 0.45/0.64 (define @t9 () (_ tptp.icl_princ tptp.a)) % 0.45/0.64 (define @t10 () (not (_ tptp.iclval (_ (_ tptp.icl_impl (_ (_ tptp.icl_impl_princ @t9) @t8)) (_ (_ tptp.icl_impl (_ (_ tptp.icl_says @t9) @t7)) (_ (_ tptp.icl_says @t8) @t7)))))) % 0.45/0.64 (define @t11 () (@var "X" $$unsorted)) % 0.45/0.64 (define @t12 () (@list @t11)) % 0.45/0.64 (define @t13 () (lambda @t12 false)) % 0.45/0.64 (define @t14 () (lambda @t12 true)) % 0.45/0.64 (define @t15 () (@var "U" $$unsorted)) % 0.45/0.64 (define @t16 () (@var "X" (-> $$unsorted Bool))) % 0.45/0.64 (define @t17 () (_ @t16 @t15)) % 0.45/0.64 (define @t18 () (lambda (@list @t16 @t15) (not @t17))) % 0.45/0.64 (define @t19 () (@var "Y" (-> $$unsorted Bool))) % 0.45/0.64 (define @t20 () (_ @t19 @t15)) % 0.45/0.64 (define @t21 () (@list @t16 @t19 @t15)) % 0.45/0.64 (define @t22 () (lambda @t21 (or @t17 @t20))) % 0.45/0.64 (define @t23 () (lambda @t21 (and @t17 @t20))) % 0.45/0.64 (define @t24 () (@var "__flatten_var_0" $$unsorted)) % 0.45/0.64 (define @t25 () (@var "V" (-> $$unsorted Bool))) % 0.45/0.64 (define @t26 () (@var "U" (-> $$unsorted Bool))) % 0.45/0.64 (define @t27 () (@list @t26 @t25 @t24)) % 0.45/0.64 (define @t28 () (lambda @t27 (_ (_ (_ tptp.mor (_ tptp.mnot @t26)) @t25) @t24))) % 0.45/0.64 (define @t29 () (lambda @t27 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t26) @t25)) (_ (_ tptp.mimpl @t25) @t26)) @t24))) % 0.45/0.64 (define @t30 () (@var "Y" $$unsorted)) % 0.45/0.64 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.45/0.64 (define @t32 () (_ @t31 @t30)) % 0.45/0.64 (define @t33 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.45/0.64 (define @t34 () (_ (_ @t33 @t11) @t30)) % 0.45/0.64 (define @t35 () (@list @t30)) % 0.45/0.64 (define @t36 () (forall @t35 (=> @t34 @t32))) % 0.45/0.64 (define @t37 () (@list @t33 @t31 @t11)) % 0.45/0.64 (define @t38 () (lambda @t37 @t36)) % 0.45/0.64 (define @t39 () (lambda @t37 (exists @t35 (and @t34 @t32)))) % 0.45/0.64 (define @t40 () (@var "W" $$unsorted)) % 0.45/0.64 (define @t41 () (@var "X" tptp.individuals)) % 0.45/0.64 (define @t42 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.45/0.64 (define @t43 () (_ (_ @t42 @t41) @t40)) % 0.45/0.64 (define @t44 () (@list @t41)) % 0.45/0.64 (define @t45 () (@list @t42 @t40)) % 0.45/0.64 (define @t46 () (lambda @t45 (forall @t44 @t43))) % 0.45/0.64 (define @t47 () (lambda @t45 (exists @t44 @t43))) % 0.45/0.64 (define @t48 () (_ @t31 @t40)) % 0.45/0.64 (define @t49 () (@list @t40)) % 0.45/0.64 (define @t50 () (forall @t49 @t48)) % 0.45/0.64 (define @t51 () (@list @t31)) % 0.45/0.64 (define @t52 () (lambda @t51 @t50)) % 0.45/0.64 (define @t53 () (lambda @t51 (exists @t49 @t48))) % 0.45/0.64 (define @t54 () (not @t48)) % 0.45/0.64 (define @t55 () (lambda @t51 (exists @t49 @t54))) % 0.45/0.64 (define @t56 () (lambda @t51 (forall @t49 @t54))) % 0.45/0.64 (define @t57 () (@list @t31 @t24)) % 0.45/0.64 (define @t58 () (lambda @t57 (_ (_ @t2 @t31) @t24))) % 0.45/0.64 (define @t59 () (lambda @t57 (_ @t31 @t24))) % 0.45/0.64 (define @t60 () (@list @t1 @t3 @t24)) % 0.45/0.64 (define @t61 () (lambda @t60 (_ (_ (_ tptp.mand @t1) @t3) @t24))) % 0.45/0.64 (define @t62 () (_ tptp.mor @t1)) % 0.45/0.64 (define @t63 () (lambda @t60 (_ (_ @t62 @t3) @t24))) % 0.45/0.64 (define @t64 () (lambda @t60 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t3)) @t24))) % 0.45/0.64 (define @t65 () (@var "S" (-> $$unsorted Bool))) % 0.45/0.64 (define @t66 () (@list @t1 @t65 @t24)) % 0.45/0.64 (define @t67 () (lambda @t66 (_ (_ @t2 (_ @t62 @t65)) @t24))) % 0.45/0.64 (define @t68 () (@list @t16)) % 0.45/0.64 (define @t69 () (lambda @t68 (_ tptp.mvalid @t16))) % 0.45/0.64 (define @t70 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 0.45/0.64 (define @t71 () (_ @t3 @t70)) % 0.45/0.64 (define @t72 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.45/0.64 (define @t73 () (not (tptp.rel @t72 @t70))) % 0.45/0.64 (define @t74 () (not (tptp.rel @t40 @t72))) % 0.45/0.64 (define @t75 () (_ @t3 @t30)) % 0.45/0.64 (define @t76 () (not (tptp.rel @t40 @t30))) % 0.45/0.64 (define @t77 () (not (forall @t35 (or @t76 @t75)))) % 0.45/0.64 (define @t78 () (or @t77 @t74 @t73 @t71)) % 0.45/0.64 (define @t79 () (forall (@list @t3 @t40 @t72 @t70) @t78)) % 0.45/0.64 (define @t80 () (@list @t40 @t72 @t70)) % 0.45/0.64 (define @t81 () (or @t74 @t73 @t71)) % 0.45/0.64 (define @t82 () (or @t77 @t81)) % 0.45/0.64 (define @t83 () (forall @t80 @t82)) % 0.45/0.64 (define @t84 () (@list @t72 @t70)) % 0.45/0.64 (define @t85 () (forall @t84 @t82)) % 0.45/0.64 (define @t86 () (forall @t84 @t81)) % 0.45/0.64 (define @t87 () (@var "BOUND_VARIABLE_8114" $$unsorted)) % 0.45/0.64 (define @t88 () (or @t77 @t86)) % 0.45/0.64 (define @t89 () (_ @t3 @t87)) % 0.45/0.64 (define @t90 () (not (tptp.rel @t30 @t87))) % 0.45/0.64 (define @t91 () (@list @t30 @t87)) % 0.45/0.64 (define @t92 () (or @t77 (forall @t91 (or @t76 @t90 @t89)))) % 0.45/0.64 (define @t93 () (not (tptp.rel @t24 @t30))) % 0.45/0.64 (define @t94 () (forall @t91 (or @t93 @t90 @t89))) % 0.45/0.64 (define @t95 () (forall @t35 (or @t93 @t75))) % 0.45/0.64 (define @t96 () (not @t95)) % 0.45/0.64 (define @t97 () (@list @t24)) % 0.45/0.64 (define @t98 () (lambda @t97 (or @t96 @t94))) % 0.45/0.64 (define @t99 () (_ @t98 @t40)) % 0.45/0.64 (define @t100 () (forall @t49 @t99)) % 0.45/0.64 (define @t101 () (_ @t31 @t40)) % 0.45/0.64 (define @t102 () (lambda @t51 (forall @t49 @t101))) % 0.45/0.64 (define @t103 () (not (tptp.rel @t11 @t30))) % 0.45/0.64 (define @t104 () (or @t103 @t90 @t89)) % 0.45/0.64 (define @t105 () (lambda @t12 (forall @t91 @t104))) % 0.45/0.64 (define @t106 () (_ @t105 @t24)) % 0.45/0.64 (define @t107 () (or @t96 @t106)) % 0.45/0.64 (define @t108 () (lambda @t97 @t107)) % 0.45/0.64 (define @t109 () (_ @t25 @t24)) % 0.45/0.64 (define @t110 () (@list @t25 @t24)) % 0.45/0.64 (define @t111 () (or @t90 @t89)) % 0.45/0.64 (define @t112 () (or @t103 @t111)) % 0.45/0.64 (define @t113 () (forall @t91 @t112)) % 0.45/0.64 (define @t114 () (@list @t87)) % 0.45/0.64 (define @t115 () (forall @t114 @t112)) % 0.45/0.64 (define @t116 () (forall @t114 @t111)) % 0.45/0.64 (define @t117 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 0.45/0.64 (define @t118 () (@list @t117)) % 0.45/0.64 (define @t119 () (or @t103 @t116)) % 0.45/0.64 (define @t120 () (_ @t3 @t117)) % 0.45/0.64 (define @t121 () (@list @t117)) % 0.45/0.64 (define @t122 () (forall @t121 (or (not (tptp.rel @t30 @t117)) @t120))) % 0.45/0.64 (define @t123 () (forall @t35 (or @t103 @t75))) % 0.45/0.64 (define @t124 () (@list @t30)) % 0.45/0.64 (define @t125 () (lambda @t12 @t123)) % 0.45/0.64 (define @t126 () (or @t103 (_ @t125 @t30))) % 0.45/0.64 (define @t127 () (forall @t35 @t126)) % 0.45/0.64 (define @t128 () (lambda @t12 @t127)) % 0.45/0.64 (define @t129 () (_ @t31 @t30)) % 0.45/0.64 (define @t130 () (forall @t35 (or @t103 @t129))) % 0.45/0.64 (define @t131 () (lambda (@list @t31 @t11) @t130)) % 0.45/0.64 (define @t132 () (_ @t33 @t11 @t30)) % 0.45/0.64 (define @t133 () (_ (lambda @t37 (forall @t35 (or (not @t132) @t129))) tptp.rel)) % 0.45/0.64 (define @t134 () (_ @t125 @t24)) % 0.45/0.64 (define @t135 () (not @t134)) % 0.45/0.64 (define @t136 () (or @t135 @t109)) % 0.45/0.64 (define @t137 () (lambda @t110 @t136)) % 0.45/0.64 (define @t138 () (or (not (_ @t26 @t24)) @t109)) % 0.45/0.64 (define @t139 () (lambda @t27 @t138)) % 0.45/0.64 (define @t140 () (_ @t133 @t3)) % 0.45/0.64 (define @t141 () (not @t34)) % 0.45/0.64 (define @t142 () (or @t141 @t32)) % 0.45/0.64 (define @t143 () (not (_ @t26 @t15))) % 0.45/0.64 (define @t144 () (@list @t15)) % 0.45/0.64 (define @t145 () (lambda @t144 (or @t143 (_ @t25 @t15)))) % 0.45/0.64 (define @t146 () (@list @t19 @t15)) % 0.45/0.64 (define @t147 () (lambda @t144 @t143)) % 0.45/0.64 (define @t148 () (_ @t147 @t15)) % 0.45/0.64 (define @t149 () (or @t148 @t20)) % 0.45/0.64 (define @t150 () (lambda @t146 @t149)) % 0.45/0.64 (define @t151 () (@var "BOUND_VARIABLE_8413" $$unsorted)) % 0.45/0.64 (define @t152 () (tptp.s @t151)) % 0.45/0.64 (define @t153 () (@var "BOUND_VARIABLE_8411" $$unsorted)) % 0.45/0.64 (define @t154 () (not (tptp.rel @t153 @t151))) % 0.45/0.64 (define @t155 () (tptp.b @t153)) % 0.45/0.64 (define @t156 () (@var "BOUND_VARIABLE_8409" $$unsorted)) % 0.45/0.64 (define @t157 () (not (tptp.rel @t156 @t153))) % 0.45/0.64 (define @t158 () (@var "BOUND_VARIABLE_8275" $$unsorted)) % 0.45/0.64 (define @t159 () (tptp.s @t158)) % 0.45/0.64 (define @t160 () (@var "BOUND_VARIABLE_8293" $$unsorted)) % 0.45/0.64 (define @t161 () (not (tptp.rel @t160 @t158))) % 0.45/0.64 (define @t162 () (tptp.a @t160)) % 0.45/0.64 (define @t163 () (@list @t160 @t158)) % 0.45/0.64 (define @t164 () (not (forall @t163 (or (not (tptp.rel @t156 @t160)) @t162 @t161 @t159)))) % 0.45/0.64 (define @t165 () (not (tptp.rel @t30 @t156))) % 0.45/0.64 (define @t166 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 0.45/0.64 (define @t167 () (tptp.b @t166)) % 0.45/0.64 (define @t168 () (not (tptp.a @t166))) % 0.45/0.64 (define @t169 () (@list @t166)) % 0.45/0.64 (define @t170 () (forall @t169 (or (not (tptp.rel @t30 @t166)) @t168 @t167))) % 0.45/0.64 (define @t171 () (not @t170)) % 0.45/0.64 (define @t172 () (or @t76 @t171 @t165 @t164 @t157 @t155 @t154 @t152)) % 0.45/0.64 (define @t173 () (forall (@list @t40 @t30 @t156 @t153 @t151) @t172)) % 0.45/0.64 (define @t174 () (@list @t30 @t156 @t153 @t151)) % 0.45/0.64 (define @t175 () (forall @t174 @t172)) % 0.45/0.64 (define @t176 () (or @t93 @t171 @t165 @t164 @t157 @t155 @t154 @t152)) % 0.45/0.64 (define @t177 () (lambda @t97 (forall @t174 @t176))) % 0.45/0.64 (define @t178 () (_ @t177 @t40)) % 0.45/0.64 (define @t179 () (forall @t49 @t178)) % 0.45/0.64 (define @t180 () (forall @t49 (_ @t16 @t40))) % 0.45/0.64 (define @t181 () (lambda @t68 @t180)) % 0.45/0.64 (define @t182 () (or @t165 @t164 @t157 @t155 @t154 @t152)) % 0.45/0.64 (define @t183 () (or @t93 @t171 @t182)) % 0.45/0.64 (define @t184 () (forall @t174 @t183)) % 0.45/0.64 (define @t185 () (@list @t156 @t153 @t151)) % 0.45/0.64 (define @t186 () (forall @t185 @t183)) % 0.45/0.64 (define @t187 () (forall @t185 @t182)) % 0.45/0.64 (define @t188 () (@var "BOUND_VARIABLE_8367" $$unsorted)) % 0.45/0.64 (define @t189 () (@var "BOUND_VARIABLE_8365" $$unsorted)) % 0.45/0.64 (define @t190 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 0.45/0.64 (define @t191 () (or @t93 @t171 @t187)) % 0.45/0.64 (define @t192 () (tptp.s @t188)) % 0.45/0.64 (define @t193 () (not (tptp.rel @t189 @t188))) % 0.45/0.64 (define @t194 () (tptp.b @t189)) % 0.45/0.64 (define @t195 () (not (tptp.rel @t190 @t189))) % 0.45/0.64 (define @t196 () (not (forall @t163 (or (not (tptp.rel @t190 @t160)) @t162 @t161 @t159)))) % 0.45/0.64 (define @t197 () (@list @t190 @t189 @t188)) % 0.45/0.64 (define @t198 () (forall @t197 (or (not (tptp.rel @t30 @t190)) @t196 @t195 @t194 @t193 @t192))) % 0.45/0.64 (define @t199 () (not (tptp.rel @t30 @t189))) % 0.45/0.64 (define @t200 () (forall @t163 (or (not (tptp.rel @t30 @t160)) @t162 @t161 @t159))) % 0.45/0.64 (define @t201 () (not @t200)) % 0.45/0.64 (define @t202 () (or @t93 @t201 @t199 @t194 @t193 @t192)) % 0.45/0.64 (define @t203 () (@list @t30 @t189 @t188)) % 0.45/0.64 (define @t204 () (forall @t203 @t202)) % 0.45/0.64 (define @t205 () (lambda @t97 @t204)) % 0.45/0.64 (define @t206 () (or @t93 @t171 (_ @t205 @t30))) % 0.45/0.64 (define @t207 () (forall @t35 @t206)) % 0.45/0.64 (define @t208 () (lambda @t97 @t207)) % 0.45/0.64 (define @t209 () (@list @t3 @t24)) % 0.45/0.64 (define @t210 () (or @t199 @t194 @t193 @t192)) % 0.45/0.64 (define @t211 () (or @t93 @t201 @t210)) % 0.45/0.64 (define @t212 () (forall @t203 @t211)) % 0.45/0.64 (define @t213 () (@list @t189 @t188)) % 0.45/0.64 (define @t214 () (forall @t213 @t211)) % 0.45/0.64 (define @t215 () (forall @t213 @t210)) % 0.45/0.64 (define @t216 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 0.45/0.64 (define @t217 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 0.45/0.64 (define @t218 () (or @t93 @t201 @t215)) % 0.45/0.64 (define @t219 () (tptp.s @t216)) % 0.45/0.64 (define @t220 () (not (tptp.rel @t217 @t216))) % 0.45/0.64 (define @t221 () (tptp.b @t217)) % 0.45/0.64 (define @t222 () (@list @t217 @t216)) % 0.45/0.64 (define @t223 () (forall @t222 (or (not (tptp.rel @t30 @t217)) @t221 @t220 @t219))) % 0.45/0.64 (define @t224 () (not (tptp.rel @t30 @t216))) % 0.45/0.64 (define @t225 () (tptp.b @t30)) % 0.45/0.64 (define @t226 () (or @t93 @t225 @t224 @t219)) % 0.45/0.64 (define @t227 () (@list @t30 @t216)) % 0.45/0.64 (define @t228 () (forall @t227 @t226)) % 0.45/0.64 (define @t229 () (lambda @t97 @t228)) % 0.45/0.64 (define @t230 () (or @t93 @t201 (_ @t229 @t30))) % 0.45/0.64 (define @t231 () (forall @t35 @t230)) % 0.45/0.64 (define @t232 () (lambda @t97 @t231)) % 0.45/0.64 (define @t233 () (or @t224 @t219)) % 0.45/0.64 (define @t234 () (or @t93 @t225 @t233)) % 0.45/0.64 (define @t235 () (forall @t227 @t234)) % 0.45/0.64 (define @t236 () (@list @t216)) % 0.45/0.64 (define @t237 () (forall @t236 @t234)) % 0.45/0.64 (define @t238 () (forall @t236 @t233)) % 0.45/0.64 (define @t239 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 0.45/0.64 (define @t240 () (@list @t239)) % 0.45/0.64 (define @t241 () (or @t93 @t225 @t238)) % 0.45/0.64 (define @t242 () (tptp.s @t239)) % 0.45/0.64 (define @t243 () (@list @t239)) % 0.45/0.64 (define @t244 () (forall @t243 (or (not (tptp.rel @t30 @t239)) @t242))) % 0.45/0.64 (define @t245 () (forall @t35 (or @t93 (tptp.s @t30)))) % 0.45/0.64 (define @t246 () (lambda @t97 @t245)) % 0.45/0.64 (define @t247 () (_ @t246 @t30)) % 0.45/0.64 (define @t248 () (or @t93 @t225 @t247)) % 0.45/0.64 (define @t249 () (forall @t35 @t248)) % 0.45/0.64 (define @t250 () (lambda @t97 @t249)) % 0.45/0.64 (define @t251 () (_ @t65 @t30)) % 0.45/0.64 (define @t252 () (@list @t65 @t24)) % 0.45/0.64 (define @t253 () (forall @t35 (or @t93 @t129))) % 0.45/0.64 (define @t254 () (_ (lambda @t57 @t253) tptp.s)) % 0.45/0.64 (define @t255 () (_ tptp.b @t30)) % 0.45/0.64 (define @t256 () (or @t93 @t255 @t251)) % 0.45/0.64 (define @t257 () (lambda @t97 (_ tptp.b @t24))) % 0.45/0.64 (define @t258 () (_ @t257 @t30)) % 0.45/0.64 (define @t259 () (or @t93 @t258 @t251)) % 0.45/0.64 (define @t260 () (forall @t35 @t259)) % 0.45/0.64 (define @t261 () (lambda @t252 @t260)) % 0.45/0.64 (define @t262 () (_ @t1 @t30)) % 0.45/0.64 (define @t263 () (forall @t35 (or @t93 @t262 @t251))) % 0.45/0.64 (define @t264 () (lambda @t66 @t263)) % 0.45/0.64 (define @t265 () (_ @t59 tptp.b)) % 0.45/0.64 (define @t266 () (not (tptp.rel @t30 @t158))) % 0.45/0.64 (define @t267 () (tptp.a @t30)) % 0.45/0.64 (define @t268 () (or @t93 @t267 @t266 @t159)) % 0.45/0.64 (define @t269 () (@list @t30 @t158)) % 0.45/0.64 (define @t270 () (forall @t269 @t268)) % 0.45/0.64 (define @t271 () (lambda @t97 @t270)) % 0.45/0.64 (define @t272 () (not (_ @t271 @t30))) % 0.45/0.64 (define @t273 () (or @t93 @t272 @t75)) % 0.45/0.64 (define @t274 () (forall @t35 @t273)) % 0.45/0.64 (define @t275 () (lambda @t209 @t274)) % 0.45/0.64 (define @t276 () (not @t262)) % 0.45/0.64 (define @t277 () (forall @t35 (or @t93 @t276 @t75))) % 0.45/0.64 (define @t278 () (lambda @t60 @t277)) % 0.45/0.64 (define @t279 () (or @t266 @t159)) % 0.45/0.64 (define @t280 () (or @t93 @t267 @t279)) % 0.45/0.64 (define @t281 () (forall @t269 @t280)) % 0.45/0.64 (define @t282 () (@list @t158)) % 0.45/0.64 (define @t283 () (forall @t282 @t280)) % 0.45/0.64 (define @t284 () (forall @t282 @t279)) % 0.45/0.64 (define @t285 () (or @t93 @t267 @t284)) % 0.45/0.64 (define @t286 () (or @t93 @t267 @t247)) % 0.45/0.64 (define @t287 () (forall @t35 @t286)) % 0.45/0.64 (define @t288 () (lambda @t97 @t287)) % 0.45/0.64 (define @t289 () (_ tptp.a @t30)) % 0.45/0.64 (define @t290 () (or @t93 @t289 @t251)) % 0.45/0.64 (define @t291 () (lambda @t97 (_ tptp.a @t24))) % 0.45/0.64 (define @t292 () (_ @t291 @t30)) % 0.45/0.64 (define @t293 () (or @t93 @t292 @t251)) % 0.45/0.64 (define @t294 () (forall @t35 @t293)) % 0.45/0.64 (define @t295 () (lambda @t252 @t294)) % 0.45/0.64 (define @t296 () (_ @t59 tptp.a)) % 0.45/0.64 (define @t297 () (not @t267)) % 0.45/0.64 (define @t298 () (forall @t35 (or @t93 @t297 @t225))) % 0.45/0.64 (define @t299 () (lambda @t97 @t298)) % 0.45/0.64 (define @t300 () (not (_ @t299 @t30))) % 0.45/0.64 (define @t301 () (or @t93 @t300 @t75)) % 0.45/0.64 (define @t302 () (forall @t35 @t301)) % 0.45/0.64 (define @t303 () (lambda @t209 @t302)) % 0.45/0.64 (define @t304 () (or @t93 @t297 @t255)) % 0.45/0.64 (define @t305 () (or @t93 @t297 @t258)) % 0.45/0.64 (define @t306 () (forall @t35 @t305)) % 0.45/0.64 (define @t307 () (lambda @t97 @t306)) % 0.45/0.64 (define @t308 () (not @t289)) % 0.45/0.64 (define @t309 () (or @t93 @t308 @t75)) % 0.45/0.64 (define @t310 () (not @t292)) % 0.45/0.64 (define @t311 () (or @t93 @t310 @t75)) % 0.45/0.64 (define @t312 () (forall @t35 @t311)) % 0.45/0.64 (define @t313 () (lambda @t209 @t312)) % 0.45/0.64 (define @t314 () (lambda @t12 @t130)) % 0.45/0.64 (define @t315 () (_ @t65 @t30)) % 0.45/0.64 (define @t316 () (_ @t1 @t30)) % 0.45/0.64 (define @t317 () (or @t103 @t316 @t315)) % 0.45/0.64 (define @t318 () (or @t316 @t315)) % 0.45/0.64 (define @t319 () (_ @t1 @t15)) % 0.45/0.64 (define @t320 () (lambda @t144 (or @t319 (_ @t65 @t15)))) % 0.45/0.64 (define @t321 () (_ @t320 @t30)) % 0.45/0.64 (define @t322 () (or @t103 @t321)) % 0.45/0.64 (define @t323 () (forall @t35 @t322)) % 0.45/0.64 (define @t324 () (lambda @t12 @t323)) % 0.45/0.64 (define @t325 () (lambda @t146 (or @t319 @t20))) % 0.45/0.64 (define @t326 () (_ @t3 @t30)) % 0.45/0.64 (define @t327 () (not @t316)) % 0.45/0.64 (define @t328 () (or @t103 @t327 @t326)) % 0.45/0.64 (define @t329 () (or @t327 @t326)) % 0.45/0.64 (define @t330 () (not (_ @t1 @t24))) % 0.45/0.64 (define @t331 () (lambda @t97 (or @t330 (_ @t3 @t24)))) % 0.45/0.64 (define @t332 () (_ @t331 @t30)) % 0.45/0.64 (define @t333 () (or @t103 @t332)) % 0.45/0.64 (define @t334 () (forall @t35 @t333)) % 0.45/0.64 (define @t335 () (lambda @t12 @t334)) % 0.45/0.64 (define @t336 () (lambda @t110 (or @t330 @t109))) % 0.45/0.64 (define @t337 () (@quantifiers_skolemize @t173 1)) % 0.45/0.64 (define @t338 () (forall @t169 (or (not (tptp.rel @t337 @t166)) @t168 @t167))) % 0.45/0.64 (define @t339 () (@quantifiers_skolemize @t173 4)) % 0.45/0.64 (define @t340 () (tptp.s @t339)) % 0.45/0.64 (define @t341 () (@quantifiers_skolemize @t173 3)) % 0.45/0.64 (define @t342 () (tptp.rel @t341 @t339)) % 0.45/0.64 (define @t343 () (not @t342)) % 0.45/0.64 (define @t344 () (tptp.b @t341)) % 0.45/0.64 (define @t345 () (@quantifiers_skolemize @t173 2)) % 0.45/0.64 (define @t346 () (tptp.rel @t345 @t341)) % 0.45/0.64 (define @t347 () (not @t346)) % 0.45/0.64 (define @t348 () (forall @t163 (or (not (tptp.rel @t345 @t160)) @t162 @t161 @t159))) % 0.45/0.64 (define @t349 () (not @t348)) % 0.45/0.64 (define @t350 () (tptp.rel @t337 @t345)) % 0.45/0.64 (define @t351 () (not @t350)) % 0.45/0.64 (define @t352 () (not @t338)) % 0.45/0.64 (define @t353 () (or (not (tptp.rel (@quantifiers_skolemize @t173 0) @t337)) @t352 @t351 @t349 @t347 @t344 @t343 @t340)) % 0.45/0.64 (define @t354 () (@list true)) % 0.45/0.64 (define @t355 () (@list @t353)) % 0.45/0.64 (define @t356 () (tptp.a @t341)) % 0.45/0.64 (define @t357 () (or @t347 @t356 @t343 @t340)) % 0.45/0.64 (define @t358 () (not @t356)) % 0.45/0.64 (define @t359 () (tptp.rel @t337 @t341)) % 0.45/0.64 (define @t360 () (not @t359)) % 0.45/0.64 (define @t361 () (or @t360 @t358 @t344)) % 0.45/0.64 (define @t362 () (or @t351 @t347 @t359)) % 0.45/0.64 (define @t363 () (not @t362)) % 0.45/0.64 (define @t364 () (_ tptp.rel @t337)) % 0.45/0.64 (define @t365 () (_ @t364 @t341)) % 0.45/0.64 (define @t366 () (or @t351 @t347 @t365)) % 0.45/0.64 (define @t367 () (_ @t364 @t341)) % 0.45/0.64 (define @t368 () (tptp.rel @t337 @t30)) % 0.45/0.64 (define @t369 () (not @t368)) % 0.45/0.64 (define @t370 () (_ @t364 @t30)) % 0.45/0.64 (define @t371 () (or @t369 @t370)) % 0.45/0.64 (define @t372 () (_ @t364 @t30)) % 0.45/0.64 (define @t373 () (or @t369 @t372)) % 0.45/0.64 (define @t374 () (forall @t35 @t373)) % 0.45/0.64 (define @t375 () (not @t374)) % 0.45/0.64 (define @t376 () (or @t375 @t351 @t347 @t367)) % 0.45/0.64 (assume @p1 (= tptp.icl_true tptp.mtrue)) % 0.45/0.64 (assume @p2 (= tptp.icl_false tptp.mfalse)) % 0.45/0.64 (assume @p3 (forall (@list @t1) (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t2 @t1)) @t1)))) % 0.45/0.64 (assume @p4 @t6) % 0.45/0.64 (assume @p5 @t10) % 0.45/0.64 (assume @p6 true) % 0.45/0.64 (step @p7 (= tptp.mfalse @t13) :rule refl :args (@t13)) % 0.45/0.64 (step @p8 (= tptp.mtrue @t14) :rule refl :args (@t14)) % 0.45/0.64 (step @p9 (= tptp.mnot @t18) :rule refl :args (@t18)) % 0.45/0.64 (step @p10 (= tptp.mor @t22) :rule refl :args (@t22)) % 0.45/0.64 (step @p11 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.45/0.64 (step @p12 (= tptp.mimpl @t28) :rule refl :args (@t28)) % 0.45/0.64 (step @p13 (= tptp.miff @t29) :rule refl :args (@t29)) % 0.45/0.64 (step @p14 (= tptp.mbox @t38) :rule refl :args (@t38)) % 0.45/0.64 (step @p15 (= tptp.mdia @t39) :rule refl :args (@t39)) % 0.45/0.64 (step @p16 (= tptp.mall @t46) :rule refl :args (@t46)) % 0.45/0.64 (step @p17 (= tptp.mexists @t47) :rule refl :args (@t47)) % 0.45/0.64 (step @p18 (= tptp.mvalid @t52) :rule refl :args (@t52)) % 0.45/0.64 (step @p19 (= tptp.msatisfiable @t53) :rule refl :args (@t53)) % 0.45/0.64 (step @p20 (= tptp.mcountersatisfiable @t55) :rule refl :args (@t55)) % 0.45/0.64 (step @p21 (= tptp.minvalid @t56) :rule refl :args (@t56)) % 0.45/0.64 (step @p22 (= tptp.icl_atom @t58) :rule refl :args (@t58)) % 0.45/0.64 (step @p23 (= tptp.icl_princ @t59) :rule refl :args (@t59)) % 0.45/0.64 (step @p24 (= tptp.icl_and @t61) :rule refl :args (@t61)) % 0.45/0.64 (step @p25 (= tptp.icl_or @t63) :rule refl :args (@t63)) % 0.45/0.64 (step @p26 (= tptp.icl_impl @t64) :rule refl :args 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0.45/0.64 (step @p518 :rule cnf_or_neg :args (@t353 2)) % 0.45/0.64 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 0.45/0.64 (step @p520 :rule reordering :premises (@p519) :args ((or @t350 @t353))) % 0.45/0.64 (step @p521 :rule chain_m_resolution :premises (@p520 @p478) :args (@t350 @t354 @t355)) % 0.45/0.64 (step @p522 :rule cnf_or_pos :args (@t362)) % 0.45/0.64 (step @p523 :rule reordering :premises (@p522) :args ((or @t351 @t347 @t359 @t363))) % 0.45/0.64 (step @p524 :rule chain_m_resolution :premises (@p523 @p521 @p507 @p515) :args (@t363 (@list false false true) (@list @t350 @t346 @t359))) % 0.45/0.64 (step @p525 :rule refl :args (@t359)) % 0.45/0.64 (step @p526 :rule refl :args (@t365)) % 0.45/0.64 (step @p527 :rule cong :premises (@p526 @p525) :args ((= @t365 @t359))) % 0.45/0.64 (step @p528 :rule symm :premises (@p527)) % 0.45/0.64 (step @p529 :rule eq_resolve :premises (@p526 @p528)) % 0.45/0.64 (step @p530 :rule refl :args (@t347)) % 0.45/0.64 (step @p531 :rule refl :args (@t351)) % 0.45/0.64 (step @p532 :rule nary_cong :premises (@p531 @p530 @p529) :args (@t366)) % 0.45/0.64 (step @p533 :rule refl :args (@t79)) % 0.45/0.64 (step @p534 :rule cong :premises (@p533 @p532) :args ((=> @t79 @t366))) % 0.45/0.64 (step @p535 :rule aci_norm :args ((= (or false @t351 @t347 @t365) @t366))) % 0.45/0.64 (step @p536 :rule refl :args (@t367)) % 0.45/0.64 (step @p537 :rule evaluate :args ((not true))) % 0.45/0.64 (step @p538 :rule quant-unused-vars :args ((= (forall @t35 true) true))) % 0.45/0.64 (step @p539 :rule bool-or-taut2 :args (false @t368 false false)) % 0.45/0.64 (step @p540 :rule cong :premises (@p539) :args ((forall @t35 (or @t369 @t368)))) % 0.45/0.64 (step @p541 :rule trans :premises (@p540 @p538)) % 0.45/0.64 (step @p542 :rule refl :args (@t368)) % 0.45/0.64 (step @p543 :rule refl :args (@t370)) % 0.45/0.64 (step @p544 :rule cong :premises (@p543 @p542) :args ((= @t370 @t368))) % 0.45/0.64 (step @p545 :rule symm :premises (@p544)) % 0.45/0.64 (step @p546 :rule eq_resolve :premises (@p543 @p545)) % 0.45/0.64 (step @p547 :rule refl :args (@t369)) % 0.45/0.64 (step @p548 :rule nary_cong :premises (@p547 @p546) :args (@t371)) % 0.45/0.64 (step @p549 :rule cong :premises (@p548) :args ((forall @t35 @t371))) % 0.45/0.64 (step @p550 :rule trans :premises (@p549 @p541)) % 0.45/0.64 (step @p551 :rule refl :args (@t372)) % 0.45/0.64 (step @p552 :rule refl :args (@t369)) % 0.45/0.64 (step @p553 :rule nary_cong :premises (@p552 @p551) :args (@t373)) % 0.45/0.64 (step @p554 :rule cong :premises (@p553) :args (@t374)) % 0.45/0.64 (step @p555 :rule trans :premises (@p554 @p550)) % 0.45/0.64 (step @p556 :rule cong :premises (@p555) :args (@t375)) % 0.45/0.64 (step @p557 :rule trans :premises (@p556 @p537)) % 0.45/0.64 (step @p558 :rule nary_cong :premises (@p557 @p531 @p530 @p536) :args (@t376)) % 0.45/0.64 (step @p559 :rule trans :premises (@p558 @p535)) % 0.45/0.64 (step @p560 :rule cong :premises (@p533 @p559) :args ((=> @t79 @t376))) % 0.45/0.64 (assume-push @p569 @t79) % 0.45/0.64 (step @p562 :rule instantiate :premises (@p164) :args ((@list @t364 @t337 @t345 @t341))) % 0.45/0.64 (step-pop @p570 :rule scope :premises (@p562)) % 0.45/0.64 (step @p563 :rule process_scope :premises (@p570) :args (@t376)) % 0.45/0.64 (step @p565 :rule eq_resolve :premises (@p563 @p560)) % 0.45/0.64 (step @p566 :rule eq_resolve :premises (@p565 @p534)) % 0.45/0.64 (step @p567 :rule implies_elim :premises (@p566)) % 0.45/0.64 (step @p568 false :rule chain_m_resolution :premises (@p567 @p524 @p164) :args (false (@list true false) (@list @t362 @t79))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------