%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV425^2 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:01:30 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV425^2 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:16:54 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-sort tptp.individuals 0) % 0.38/0.61 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.a (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.s (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.icl_true (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.icl_false (-> $$unsorted Bool)) % 0.38/0.61 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.38/0.61 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.38/0.61 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.38/0.61 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.38/0.61 (define tptp.mbox () (let ((_let_1 (@var "Y" $$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))))))))) % 0.38/0.61 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.38/0.61 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.61 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.61 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.icl_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) _let_2) _let_1))))) % 0.38/0.61 (define tptp.icl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.38/0.61 (define tptp.icl_and () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.icl_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 0.38/0.61 (define tptp.icl_impl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.icl_says () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "S" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mor _let_3) _let_2)) _let_1)))))) % 0.38/0.61 (define tptp.iclval () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.38/0.61 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.38/0.61 (define @t2 () (_ tptp.mbox tptp.rel)) % 0.38/0.61 (define @t3 () (@var "B" (-> $$unsorted Bool))) % 0.38/0.61 (define @t4 () (_ @t2 @t3)) % 0.38/0.61 (define @t5 () (@list @t3)) % 0.38/0.61 (define @t6 () (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t4) (_ @t2 @t4))))) % 0.38/0.61 (define @t7 () (_ tptp.icl_atom tptp.s)) % 0.38/0.61 (define @t8 () (not (_ tptp.iclval (_ (_ tptp.icl_impl @t7) (_ (_ tptp.icl_says (_ tptp.icl_princ tptp.a)) @t7))))) % 0.38/0.61 (define @t9 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t10 () (@list @t9)) % 0.38/0.61 (define @t11 () (lambda @t10 false)) % 0.38/0.61 (define @t12 () (lambda @t10 true)) % 0.38/0.61 (define @t13 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t14 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.61 (define @t15 () (_ @t14 @t13)) % 0.38/0.61 (define @t16 () (lambda (@list @t14 @t13) (not @t15))) % 0.38/0.61 (define @t17 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.61 (define @t18 () (_ @t17 @t13)) % 0.38/0.61 (define @t19 () (@list @t14 @t17 @t13)) % 0.38/0.61 (define @t20 () (lambda @t19 (or @t15 @t18))) % 0.38/0.61 (define @t21 () (lambda @t19 (and @t15 @t18))) % 0.38/0.61 (define @t22 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.61 (define @t23 () (@var "V" (-> $$unsorted Bool))) % 0.38/0.61 (define @t24 () (@var "U" (-> $$unsorted Bool))) % 0.38/0.61 (define @t25 () (@list @t24 @t23 @t22)) % 0.38/0.61 (define @t26 () (lambda @t25 (_ (_ (_ tptp.mor (_ tptp.mnot @t24)) @t23) @t22))) % 0.38/0.61 (define @t27 () (lambda @t25 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t24) @t23)) (_ (_ tptp.mimpl @t23) @t24)) @t22))) % 0.38/0.61 (define @t28 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t29 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.61 (define @t30 () (_ @t29 @t28)) % 0.38/0.61 (define @t31 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.61 (define @t32 () (_ (_ @t31 @t9) @t28)) % 0.38/0.61 (define @t33 () (@list @t28)) % 0.38/0.61 (define @t34 () (forall @t33 (=> @t32 @t30))) % 0.38/0.61 (define @t35 () (@list @t31 @t29 @t9)) % 0.38/0.61 (define @t36 () (lambda @t35 @t34)) % 0.38/0.61 (define @t37 () (lambda @t35 (exists @t33 (and @t32 @t30)))) % 0.38/0.61 (define @t38 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t39 () (@var "X" tptp.individuals)) % 0.38/0.61 (define @t40 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.38/0.61 (define @t41 () (_ (_ @t40 @t39) @t38)) % 0.38/0.61 (define @t42 () (@list @t39)) % 0.38/0.61 (define @t43 () (@list @t40 @t38)) % 0.38/0.61 (define @t44 () (lambda @t43 (forall @t42 @t41))) % 0.38/0.61 (define @t45 () (lambda @t43 (exists @t42 @t41))) % 0.38/0.61 (define @t46 () (_ @t29 @t38)) % 0.38/0.61 (define @t47 () (@list @t38)) % 0.38/0.61 (define @t48 () (forall @t47 @t46)) % 0.38/0.61 (define @t49 () (@list @t29)) % 0.38/0.61 (define @t50 () (lambda @t49 @t48)) % 0.38/0.61 (define @t51 () (lambda @t49 (exists @t47 @t46))) % 0.38/0.61 (define @t52 () (not @t46)) % 0.38/0.61 (define @t53 () (lambda @t49 (exists @t47 @t52))) % 0.38/0.61 (define @t54 () (lambda @t49 (forall @t47 @t52))) % 0.38/0.61 (define @t55 () (@list @t29 @t22)) % 0.38/0.61 (define @t56 () (lambda @t55 (_ (_ @t2 @t29) @t22))) % 0.38/0.61 (define @t57 () (lambda @t55 (_ @t29 @t22))) % 0.38/0.61 (define @t58 () (@list @t1 @t3 @t22)) % 0.38/0.61 (define @t59 () (lambda @t58 (_ (_ (_ tptp.mand @t1) @t3) @t22))) % 0.38/0.61 (define @t60 () (_ tptp.mor @t1)) % 0.38/0.61 (define @t61 () (lambda @t58 (_ (_ @t60 @t3) @t22))) % 0.38/0.61 (define @t62 () (lambda @t58 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t3)) @t22))) % 0.38/0.61 (define @t63 () (@var "S" (-> $$unsorted Bool))) % 0.38/0.61 (define @t64 () (@list @t1 @t63 @t22)) % 0.38/0.61 (define @t65 () (lambda @t64 (_ (_ @t2 (_ @t60 @t63)) @t22))) % 0.38/0.61 (define @t66 () (@list @t14)) % 0.38/0.61 (define @t67 () (lambda @t66 (_ tptp.mvalid @t14))) % 0.38/0.61 (define @t68 () (@var "BOUND_VARIABLE_8134" $$unsorted)) % 0.38/0.61 (define @t69 () (_ @t3 @t68)) % 0.38/0.61 (define @t70 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 0.38/0.61 (define @t71 () (not (tptp.rel @t70 @t68))) % 0.38/0.61 (define @t72 () (not (tptp.rel @t38 @t70))) % 0.38/0.61 (define @t73 () (_ @t3 @t28)) % 0.38/0.61 (define @t74 () (not (tptp.rel @t38 @t28))) % 0.38/0.61 (define @t75 () (not (forall @t33 (or @t74 @t73)))) % 0.38/0.61 (define @t76 () (or @t75 @t72 @t71 @t69)) % 0.38/0.61 (define @t77 () (forall (@list @t3 @t38 @t70 @t68) @t76)) % 0.38/0.61 (define @t78 () (@list @t38 @t70 @t68)) % 0.38/0.61 (define @t79 () (or @t72 @t71 @t69)) % 0.38/0.61 (define @t80 () (or @t75 @t79)) % 0.38/0.61 (define @t81 () (forall @t78 @t80)) % 0.38/0.61 (define @t82 () (@list @t70 @t68)) % 0.38/0.61 (define @t83 () (forall @t82 @t80)) % 0.38/0.61 (define @t84 () (forall @t82 @t79)) % 0.38/0.61 (define @t85 () (@var "BOUND_VARIABLE_8101" $$unsorted)) % 0.38/0.61 (define @t86 () (or @t75 @t84)) % 0.38/0.61 (define @t87 () (_ @t3 @t85)) % 0.38/0.61 (define @t88 () (not (tptp.rel @t28 @t85))) % 0.38/0.61 (define @t89 () (@list @t28 @t85)) % 0.38/0.61 (define @t90 () (or @t75 (forall @t89 (or @t74 @t88 @t87)))) % 0.38/0.61 (define @t91 () (not (tptp.rel @t22 @t28))) % 0.38/0.61 (define @t92 () (forall @t89 (or @t91 @t88 @t87))) % 0.38/0.61 (define @t93 () (forall @t33 (or @t91 @t73))) % 0.38/0.61 (define @t94 () (not @t93)) % 0.38/0.61 (define @t95 () (@list @t22)) % 0.38/0.61 (define @t96 () (lambda @t95 (or @t94 @t92))) % 0.38/0.61 (define @t97 () (_ @t96 @t38)) % 0.38/0.61 (define @t98 () (forall @t47 @t97)) % 0.38/0.61 (define @t99 () (_ @t29 @t38)) % 0.38/0.61 (define @t100 () (lambda @t49 (forall @t47 @t99))) % 0.38/0.61 (define @t101 () (not (tptp.rel @t9 @t28))) % 0.38/0.61 (define @t102 () (or @t101 @t88 @t87)) % 0.38/0.61 (define @t103 () (lambda @t10 (forall @t89 @t102))) % 0.38/0.61 (define @t104 () (_ @t103 @t22)) % 0.38/0.61 (define @t105 () (or @t94 @t104)) % 0.38/0.61 (define @t106 () (lambda @t95 @t105)) % 0.38/0.61 (define @t107 () (_ @t23 @t22)) % 0.38/0.61 (define @t108 () (@list @t23 @t22)) % 0.38/0.61 (define @t109 () (or @t88 @t87)) % 0.38/0.61 (define @t110 () (or @t101 @t109)) % 0.38/0.61 (define @t111 () (forall @t89 @t110)) % 0.38/0.61 (define @t112 () (@list @t85)) % 0.38/0.61 (define @t113 () (forall @t112 @t110)) % 0.38/0.61 (define @t114 () (forall @t112 @t109)) % 0.38/0.61 (define @t115 () (@var "BOUND_VARIABLE_8085" $$unsorted)) % 0.38/0.61 (define @t116 () (@list @t115)) % 0.38/0.61 (define @t117 () (or @t101 @t114)) % 0.38/0.61 (define @t118 () (_ @t3 @t115)) % 0.38/0.61 (define @t119 () (@list @t115)) % 0.38/0.61 (define @t120 () (forall @t119 (or (not (tptp.rel @t28 @t115)) @t118))) % 0.38/0.61 (define @t121 () (forall @t33 (or @t101 @t73))) % 0.38/0.61 (define @t122 () (@list @t28)) % 0.38/0.61 (define @t123 () (lambda @t10 @t121)) % 0.38/0.61 (define @t124 () (or @t101 (_ @t123 @t28))) % 0.38/0.61 (define @t125 () (forall @t33 @t124)) % 0.38/0.61 (define @t126 () (lambda @t10 @t125)) % 0.38/0.61 (define @t127 () (_ @t29 @t28)) % 0.38/0.61 (define @t128 () (forall @t33 (or @t101 @t127))) % 0.38/0.61 (define @t129 () (lambda (@list @t29 @t9) @t128)) % 0.38/0.61 (define @t130 () (_ @t31 @t9 @t28)) % 0.38/0.61 (define @t131 () (_ (lambda @t35 (forall @t33 (or (not @t130) @t127))) tptp.rel)) % 0.38/0.61 (define @t132 () (_ @t123 @t22)) % 0.38/0.61 (define @t133 () (not @t132)) % 0.38/0.61 (define @t134 () (or @t133 @t107)) % 0.38/0.61 (define @t135 () (lambda @t108 @t134)) % 0.38/0.61 (define @t136 () (or (not (_ @t24 @t22)) @t107)) % 0.38/0.61 (define @t137 () (lambda @t25 @t136)) % 0.38/0.61 (define @t138 () (_ @t131 @t3)) % 0.38/0.61 (define @t139 () (not @t32)) % 0.38/0.61 (define @t140 () (or @t139 @t30)) % 0.38/0.61 (define @t141 () (not (_ @t24 @t13))) % 0.38/0.61 (define @t142 () (@list @t13)) % 0.38/0.61 (define @t143 () (lambda @t142 (or @t141 (_ @t23 @t13)))) % 0.38/0.61 (define @t144 () (@list @t17 @t13)) % 0.38/0.61 (define @t145 () (lambda @t142 @t141)) % 0.38/0.61 (define @t146 () (_ @t145 @t13)) % 0.38/0.61 (define @t147 () (or @t146 @t18)) % 0.38/0.61 (define @t148 () (lambda @t144 @t147)) % 0.38/0.61 (define @t149 () (@var "BOUND_VARIABLE_8247" $$unsorted)) % 0.38/0.61 (define @t150 () (tptp.s @t149)) % 0.38/0.61 (define @t151 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 0.38/0.61 (define @t152 () (not (tptp.rel @t151 @t149))) % 0.38/0.61 (define @t153 () (tptp.a @t151)) % 0.38/0.61 (define @t154 () (not (tptp.rel @t28 @t151))) % 0.38/0.61 (define @t155 () (@var "BOUND_VARIABLE_8169" $$unsorted)) % 0.38/0.61 (define @t156 () (tptp.s @t155)) % 0.38/0.61 (define @t157 () (@list @t155)) % 0.38/0.61 (define @t158 () (forall @t157 (or (not (tptp.rel @t28 @t155)) @t156))) % 0.38/0.61 (define @t159 () (not @t158)) % 0.38/0.61 (define @t160 () (or @t74 @t159 @t154 @t153 @t152 @t150)) % 0.38/0.61 (define @t161 () (forall (@list @t38 @t28 @t151 @t149) @t160)) % 0.38/0.61 (define @t162 () (@list @t28 @t151 @t149)) % 0.38/0.61 (define @t163 () (forall @t162 @t160)) % 0.38/0.61 (define @t164 () (or @t91 @t159 @t154 @t153 @t152 @t150)) % 0.38/0.61 (define @t165 () (lambda @t95 (forall @t162 @t164))) % 0.38/0.61 (define @t166 () (_ @t165 @t38)) % 0.38/0.61 (define @t167 () (forall @t47 @t166)) % 0.38/0.61 (define @t168 () (forall @t47 (_ @t14 @t38))) % 0.38/0.61 (define @t169 () (lambda @t66 @t168)) % 0.38/0.61 (define @t170 () (or @t154 @t153 @t152 @t150)) % 0.38/0.61 (define @t171 () (or @t91 @t159 @t170)) % 0.38/0.61 (define @t172 () (forall @t162 @t171)) % 0.38/0.61 (define @t173 () (@list @t151 @t149)) % 0.38/0.61 (define @t174 () (forall @t173 @t171)) % 0.38/0.61 (define @t175 () (forall @t173 @t170)) % 0.38/0.61 (define @t176 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 0.38/0.61 (define @t177 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 0.38/0.61 (define @t178 () (or @t91 @t159 @t175)) % 0.38/0.61 (define @t179 () (tptp.s @t176)) % 0.38/0.61 (define @t180 () (not (tptp.rel @t177 @t176))) % 0.38/0.61 (define @t181 () (tptp.a @t177)) % 0.38/0.61 (define @t182 () (@list @t177 @t176)) % 0.38/0.61 (define @t183 () (forall @t182 (or (not (tptp.rel @t28 @t177)) @t181 @t180 @t179))) % 0.38/0.61 (define @t184 () (not (tptp.rel @t28 @t176))) % 0.38/0.61 (define @t185 () (tptp.a @t28)) % 0.38/0.61 (define @t186 () (or @t91 @t185 @t184 @t179)) % 0.38/0.61 (define @t187 () (@list @t28 @t176)) % 0.38/0.61 (define @t188 () (forall @t187 @t186)) % 0.38/0.61 (define @t189 () (lambda @t95 @t188)) % 0.38/0.61 (define @t190 () (or @t91 @t159 (_ @t189 @t28))) % 0.38/0.61 (define @t191 () (forall @t33 @t190)) % 0.38/0.61 (define @t192 () (lambda @t95 @t191)) % 0.38/0.61 (define @t193 () (@list @t3 @t22)) % 0.38/0.61 (define @t194 () (or @t184 @t179)) % 0.38/0.61 (define @t195 () (or @t91 @t185 @t194)) % 0.38/0.61 (define @t196 () (forall @t187 @t195)) % 0.38/0.61 (define @t197 () (@list @t176)) % 0.38/0.61 (define @t198 () (forall @t197 @t195)) % 0.38/0.61 (define @t199 () (forall @t197 @t194)) % 0.38/0.61 (define @t200 () (@list @t155)) % 0.38/0.61 (define @t201 () (or @t91 @t185 @t199)) % 0.38/0.61 (define @t202 () (forall @t33 (or @t91 (tptp.s @t28)))) % 0.38/0.61 (define @t203 () (lambda @t95 @t202)) % 0.38/0.61 (define @t204 () (_ @t203 @t28)) % 0.38/0.61 (define @t205 () (or @t91 @t185 @t204)) % 0.38/0.61 (define @t206 () (forall @t33 @t205)) % 0.38/0.61 (define @t207 () (lambda @t95 @t206)) % 0.38/0.61 (define @t208 () (_ @t63 @t28)) % 0.38/0.61 (define @t209 () (@list @t63 @t22)) % 0.38/0.61 (define @t210 () (forall @t33 (or @t91 @t127))) % 0.38/0.61 (define @t211 () (_ (lambda @t55 @t210) tptp.s)) % 0.38/0.61 (define @t212 () (_ tptp.a @t28)) % 0.38/0.61 (define @t213 () (or @t91 @t212 @t208)) % 0.38/0.61 (define @t214 () (lambda @t95 (_ tptp.a @t22))) % 0.38/0.61 (define @t215 () (_ @t214 @t28)) % 0.38/0.61 (define @t216 () (or @t91 @t215 @t208)) % 0.38/0.61 (define @t217 () (forall @t33 @t216)) % 0.38/0.61 (define @t218 () (lambda @t209 @t217)) % 0.38/0.61 (define @t219 () (_ @t1 @t28)) % 0.38/0.61 (define @t220 () (forall @t33 (or @t91 @t219 @t208))) % 0.38/0.61 (define @t221 () (lambda @t64 @t220)) % 0.38/0.61 (define @t222 () (_ @t57 tptp.a)) % 0.38/0.61 (define @t223 () (not @t204)) % 0.38/0.61 (define @t224 () (or @t91 @t223 @t73)) % 0.38/0.61 (define @t225 () (forall @t33 @t224)) % 0.38/0.61 (define @t226 () (lambda @t193 @t225)) % 0.38/0.61 (define @t227 () (not @t219)) % 0.38/0.61 (define @t228 () (forall @t33 (or @t91 @t227 @t73))) % 0.38/0.61 (define @t229 () (lambda @t58 @t228)) % 0.38/0.61 (define @t230 () (lambda @t10 @t128)) % 0.38/0.61 (define @t231 () (_ @t63 @t28)) % 0.38/0.61 (define @t232 () (_ @t1 @t28)) % 0.38/0.61 (define @t233 () (or @t101 @t232 @t231)) % 0.38/0.61 (define @t234 () (or @t232 @t231)) % 0.38/0.61 (define @t235 () (_ @t1 @t13)) % 0.38/0.61 (define @t236 () (lambda @t142 (or @t235 (_ @t63 @t13)))) % 0.38/0.61 (define @t237 () (_ @t236 @t28)) % 0.38/0.61 (define @t238 () (or @t101 @t237)) % 0.38/0.61 (define @t239 () (forall @t33 @t238)) % 0.38/0.61 (define @t240 () (lambda @t10 @t239)) % 0.38/0.61 (define @t241 () (lambda @t144 (or @t235 @t18))) % 0.38/0.61 (define @t242 () (_ @t3 @t28)) % 0.38/0.61 (define @t243 () (not @t232)) % 0.38/0.61 (define @t244 () (or @t101 @t243 @t242)) % 0.38/0.61 (define @t245 () (or @t243 @t242)) % 0.38/0.61 (define @t246 () (not (_ @t1 @t22))) % 0.38/0.61 (define @t247 () (lambda @t95 (or @t246 (_ @t3 @t22)))) % 0.38/0.61 (define @t248 () (_ @t247 @t28)) % 0.38/0.61 (define @t249 () (or @t101 @t248)) % 0.38/0.61 (define @t250 () (forall @t33 @t249)) % 0.38/0.61 (define @t251 () (lambda @t10 @t250)) % 0.38/0.61 (define @t252 () (lambda @t108 (or @t246 @t107))) % 0.38/0.61 (define @t253 () (@quantifiers_skolemize @t161 1)) % 0.38/0.61 (define @t254 () (forall @t157 (or (not (tptp.rel @t253 @t155)) @t156))) % 0.38/0.61 (define @t255 () (@quantifiers_skolemize @t161 3)) % 0.38/0.61 (define @t256 () (tptp.s @t255)) % 0.38/0.61 (define @t257 () (@quantifiers_skolemize @t161 2)) % 0.38/0.61 (define @t258 () (tptp.rel @t257 @t255)) % 0.38/0.61 (define @t259 () (not @t258)) % 0.38/0.61 (define @t260 () (tptp.rel @t253 @t257)) % 0.38/0.61 (define @t261 () (not @t260)) % 0.38/0.61 (define @t262 () (not @t254)) % 0.38/0.61 (define @t263 () (or (not (tptp.rel (@quantifiers_skolemize @t161 0) @t253)) @t262 @t261 (tptp.a @t257) @t259 @t256)) % 0.38/0.61 (define @t264 () (@list true)) % 0.38/0.61 (define @t265 () (@list @t263)) % 0.38/0.61 (define @t266 () (tptp.rel @t253 @t255)) % 0.38/0.61 (define @t267 () (not @t266)) % 0.38/0.61 (define @t268 () (or @t267 @t256)) % 0.38/0.61 (define @t269 () (@list true false)) % 0.38/0.61 (define @t270 () (or @t261 @t259 @t266)) % 0.38/0.61 (define @t271 () (not @t270)) % 0.38/0.61 (define @t272 () (_ tptp.rel @t253)) % 0.38/0.61 (define @t273 () (_ @t272 @t255)) % 0.38/0.61 (define @t274 () (or @t261 @t259 @t273)) % 0.38/0.61 (define @t275 () (_ @t272 @t255)) % 0.38/0.61 (define @t276 () (tptp.rel @t253 @t28)) % 0.38/0.61 (define @t277 () (not @t276)) % 0.38/0.61 (define @t278 () (_ @t272 @t28)) % 0.38/0.61 (define @t279 () (or @t277 @t278)) % 0.38/0.61 (define @t280 () (_ @t272 @t28)) % 0.38/0.61 (define @t281 () (or @t277 @t280)) % 0.38/0.61 (define @t282 () (forall @t33 @t281)) % 0.38/0.61 (define @t283 () (not @t282)) % 0.38/0.61 (define @t284 () (or @t283 @t261 @t259 @t275)) % 0.38/0.61 (assume @p1 (= tptp.icl_true tptp.mtrue)) % 0.38/0.61 (assume @p2 (= tptp.icl_false tptp.mfalse)) % 0.38/0.61 (assume @p3 (forall (@list @t1) (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t2 @t1)) @t1)))) % 0.38/0.61 (assume @p4 @t6) % 0.38/0.61 (assume @p5 @t8) % 0.38/0.61 (assume @p6 true) % 0.38/0.61 (step @p7 (= tptp.mfalse @t11) :rule refl :args (@t11)) % 0.38/0.61 (step @p8 (= tptp.mtrue @t12) :rule refl :args (@t12)) % 0.38/0.61 (step @p9 (= tptp.mnot @t16) :rule refl :args (@t16)) % 0.38/0.61 (step @p10 (= tptp.mor @t20) :rule refl :args (@t20)) % 0.38/0.61 (step @p11 (= tptp.mand @t21) :rule refl :args (@t21)) % 0.38/0.61 (step @p12 (= tptp.mimpl @t26) :rule refl :args (@t26)) % 0.38/0.61 (step @p13 (= tptp.miff @t27) :rule refl :args (@t27)) % 0.38/0.61 (step @p14 (= tptp.mbox @t36) :rule refl :args (@t36)) % 0.38/0.61 (step @p15 (= tptp.mdia @t37) :rule refl :args (@t37)) % 0.38/0.61 (step @p16 (= tptp.mall @t44) :rule refl :args (@t44)) % 0.38/0.61 (step @p17 (= tptp.mexists @t45) :rule refl :args (@t45)) % 0.38/0.61 (step @p18 (= tptp.mvalid @t50) :rule refl :args (@t50)) % 0.38/0.61 (step @p19 (= tptp.msatisfiable @t51) :rule refl :args (@t51)) % 0.38/0.61 (step @p20 (= tptp.mcountersatisfiable @t53) :rule refl :args (@t53)) % 0.38/0.61 (step @p21 (= tptp.minvalid @t54) :rule refl :args (@t54)) % 0.38/0.61 (step @p22 (= tptp.icl_atom @t56) :rule refl :args (@t56)) % 0.38/0.61 (step @p23 (= tptp.icl_princ @t57) :rule refl :args (@t57)) % 0.38/0.61 (step @p24 (= tptp.icl_and @t59) :rule refl :args (@t59)) % 0.38/0.61 (step @p25 (= tptp.icl_or @t61) :rule refl :args (@t61)) % 0.38/0.61 (step @p26 (= tptp.icl_impl @t62) :rule refl :args (@t62)) % 0.38/0.61 (step @p27 (= tptp.icl_says @t65) :rule refl :args (@t65)) % 0.38/0.61 (step @p28 (= tptp.iclval @t67) :rule refl :args (@t67)) % 0.38/0.61 (step @p29 :rule quant-merge-prenex :args ((= (forall @t5 (forall @t78 @t76)) @t77))) % 0.38/0.61 (step @p30 :rule aci_norm :args ((= @t80 @t76))) % 0.38/0.61 (step @p31 :rule cong :premises (@p30) :args (@t81)) % 0.38/0.61 (step @p32 :rule quant-merge-prenex :args ((= (forall @t47 @t83) @t81))) % 0.38/0.61 (step @p33 :rule alpha_equiv :args (@t84 (@list @t70 @t68) (@list @t28 @t85))) % 0.38/0.61 (step @p34 :rule refl :args (@t75)) % 0.38/0.61 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t86)) % 0.38/0.61 (step @p36 :rule quant-miniscope-or :args ((= @t83 @t86))) % 0.38/0.61 (step @p37 :rule trans :premises (@p36 @p35)) % 0.38/0.61 (step @p38 :rule symm :premises (@p37)) % 0.38/0.61 (step @p39 :rule cong :premises (@p38) :args ((forall @t47 @t90))) % 0.38/0.61 (step @p40 :rule trans :premises (@p39 @p32)) % 0.38/0.61 (step @p41 :rule trans :premises (@p40 @p31)) % 0.38/0.61 (step @p42 :rule beta-reduce :args ((= @t97 @t90))) % 0.38/0.61 (step @p43 :rule cong :premises (@p42) :args (@t98)) % 0.38/0.61 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.61 (step @p45 :rule beta-reduce :args ((= (_ @t100 @t96) @t98))) % 0.38/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.61 (step @p47 :rule beta-reduce :args ((= @t104 @t92))) % 0.38/0.61 (step @p48 :rule refl :args (@t94)) % 0.38/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t105)) % 0.38/0.61 (step @p50 :rule cong :premises (@p49) :args (@t106)) % 0.38/0.61 (step @p51 :rule beta-reduce :args ((= (_ (lambda @t108 (or @t94 @t107)) @t103) @t106))) % 0.38/0.61 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.61 (step @p53 :rule aci_norm :args ((= @t110 @t102))) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args (@t111)) % 0.38/0.61 (step @p55 :rule quant-merge-prenex :args ((= (forall @t33 @t113) @t111))) % 0.38/0.61 (step @p56 :rule alpha_equiv :args (@t114 (@list @t85) @t116)) % 0.38/0.61 (step @p57 :rule refl :args (@t101)) % 0.38/0.61 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t117)) % 0.38/0.61 (step @p59 :rule quant-miniscope-or :args ((= @t113 @t117))) % 0.38/0.61 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.61 (step @p61 :rule symm :premises (@p60)) % 0.38/0.61 (step @p62 :rule cong :premises (@p61) :args ((forall @t33 (or @t101 @t120)))) % 0.38/0.61 (step @p63 :rule trans :premises (@p62 @p55)) % 0.38/0.61 (step @p64 :rule trans :premises (@p63 @p54)) % 0.38/0.61 (step @p65 :rule beta-reduce :args ((= (_ (lambda @t10 (forall @t119 (or (not (tptp.rel @t9 @t115)) @t118))) @t28) @t120))) % 0.38/0.61 (step @p66 :rule refl :args (@t28)) % 0.38/0.61 (step @p67 :rule alpha_equiv :args (@t121 @t122 @t116)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67) :args (@t123)) % 0.38/0.61 (step @p69 :rule ho_cong :premises (@p68 @p66)) % 0.38/0.61 (step @p70 :rule trans :premises (@p69 @p65)) % 0.38/0.61 (step @p71 :rule refl :args (@t101)) % 0.38/0.61 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t124)) % 0.38/0.61 (step @p73 :rule cong :premises (@p72) :args (@t125)) % 0.38/0.61 (step @p74 :rule trans :premises (@p73 @p64)) % 0.38/0.61 (step @p75 :rule cong :premises (@p74) :args (@t126)) % 0.38/0.61 (step @p76 :rule beta-reduce :args ((= (_ @t129 @t123) @t126))) % 0.38/0.61 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.61 (step @p78 :rule beta-reduce :args ((= (_ @t129 @t3) @t123))) % 0.38/0.61 (step @p79 :rule refl :args (@t3)) % 0.38/0.61 (step @p80 :rule beta-reduce :args ((= @t131 @t129))) % 0.38/0.61 (step @p81 :rule ho_cong :premises (@p80 @p79)) % 0.38/0.61 (step @p82 :rule trans :premises (@p81 @p78)) % 0.38/0.61 (step @p83 :rule ho_cong :premises (@p80 @p82)) % 0.38/0.61 (step @p84 :rule trans :premises (@p83 @p77)) % 0.38/0.61 (step @p85 :rule refl :args (@t107)) % 0.38/0.61 (step @p86 :rule beta-reduce :args ((= @t132 @t93))) % 0.38/0.61 (step @p87 :rule cong :premises (@p86) :args (@t133)) % 0.38/0.61 (step @p88 :rule nary_cong :premises (@p87 @p85) :args (@t134)) % 0.38/0.61 (step @p89 :rule cong :premises (@p88) :args (@t135)) % 0.38/0.61 (step @p90 :rule beta-reduce :args ((= (_ @t137 @t123) @t135))) % 0.38/0.61 (step @p91 :rule trans :premises (@p90 @p89)) % 0.38/0.61 (step @p92 :rule refl :args (@t137)) % 0.38/0.61 (step @p93 :rule ho_cong :premises (@p92 @p82)) % 0.38/0.61 (step @p94 :rule trans :premises (@p93 @p91)) % 0.38/0.61 (step @p95 :rule ho_cong :premises (@p94 @p84)) % 0.38/0.61 (step @p96 :rule trans :premises (@p95 @p52)) % 0.38/0.61 (step @p97 :rule refl :args (@t100)) % 0.38/0.61 (step @p98 :rule ho_cong :premises (@p97 @p96)) % 0.38/0.61 (step @p99 :rule trans :premises (@p98 @p46)) % 0.38/0.61 (step @p100 :rule cong :premises (@p99) :args ((forall @t5 (_ @t100 (_ (_ @t137 @t138) (_ @t131 @t138)))))) % 0.38/0.61 (step @p101 :rule trans :premises (@p100 @p29)) % 0.38/0.61 (step @p102 :rule refl :args (tptp.rel)) % 0.38/0.61 (step @p103 :rule refl :args (@t127)) % 0.38/0.61 (step @p104 :rule refl :args (@t30)) % 0.38/0.61 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t30 @t127))) % 0.38/0.61 (step @p106 :rule symm :premises (@p105)) % 0.38/0.61 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 0.38/0.61 (step @p108 :rule refl :args (@t130)) % 0.38/0.61 (step @p109 :rule refl :args (@t32)) % 0.38/0.61 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t32 @t130))) % 0.38/0.61 (step @p111 :rule symm :premises (@p110)) % 0.38/0.61 (step @p112 :rule eq_resolve :premises 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0.38/0.61 (step @p379 :rule reordering :premises (@p378) :args ((or @t258 @t263))) % 0.38/0.61 (step @p380 :rule chain_m_resolution :premises (@p379 @p361) :args (@t258 @t264 @t265)) % 0.38/0.61 (step @p381 :rule bool-double-not-elim :args (@t260)) % 0.38/0.61 (step @p382 :rule nary_cong :premises (@p363 @p381) :args ((or @t263 (not @t261)))) % 0.38/0.61 (step @p383 :rule cnf_or_neg :args (@t263 2)) % 0.38/0.61 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 0.38/0.61 (step @p385 :rule reordering :premises (@p384) :args ((or @t260 @t263))) % 0.38/0.61 (step @p386 :rule chain_m_resolution :premises (@p385 @p361) :args (@t260 @t264 @t265)) % 0.38/0.61 (step @p387 :rule cnf_or_pos :args (@t270)) % 0.38/0.61 (step @p388 :rule reordering :premises (@p387) :args ((or @t261 @t259 @t266 @t271))) % 0.38/0.61 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p380 @p374) :args (@t271 (@list false false true) (@list @t260 @t258 @t266))) % 0.38/0.61 (step @p390 :rule refl :args (@t266)) % 0.38/0.61 (step @p391 :rule refl :args (@t273)) % 0.38/0.61 (step @p392 :rule cong :premises (@p391 @p390) :args ((= @t273 @t266))) % 0.38/0.61 (step @p393 :rule symm :premises (@p392)) % 0.38/0.61 (step @p394 :rule eq_resolve :premises (@p391 @p393)) % 0.38/0.61 (step @p395 :rule refl :args (@t259)) % 0.38/0.61 (step @p396 :rule refl :args (@t261)) % 0.38/0.61 (step @p397 :rule nary_cong :premises (@p396 @p395 @p394) :args (@t274)) % 0.38/0.61 (step @p398 :rule refl :args (@t77)) % 0.38/0.61 (step @p399 :rule cong :premises (@p398 @p397) :args ((=> @t77 @t274))) % 0.38/0.61 (step @p400 :rule aci_norm :args ((= (or false @t261 @t259 @t273) @t274))) % 0.38/0.61 (step @p401 :rule refl :args (@t275)) % 0.38/0.61 (step @p402 :rule evaluate :args ((not true))) % 0.38/0.61 (step @p403 :rule quant-unused-vars :args ((= (forall @t33 true) true))) % 0.38/0.61 (step @p404 :rule bool-or-taut2 :args (false @t276 false false)) % 0.38/0.61 (step @p405 :rule cong :premises (@p404) :args ((forall @t33 (or @t277 @t276)))) % 0.38/0.61 (step @p406 :rule trans :premises (@p405 @p403)) % 0.38/0.61 (step @p407 :rule refl :args (@t276)) % 0.38/0.61 (step @p408 :rule refl :args (@t278)) % 0.38/0.61 (step @p409 :rule cong :premises (@p408 @p407) :args ((= @t278 @t276))) % 0.38/0.61 (step @p410 :rule symm :premises (@p409)) % 0.38/0.61 (step @p411 :rule eq_resolve :premises (@p408 @p410)) % 0.38/0.61 (step @p412 :rule refl :args (@t277)) % 0.38/0.61 (step @p413 :rule nary_cong :premises (@p412 @p411) :args (@t279)) % 0.38/0.61 (step @p414 :rule cong :premises (@p413) :args ((forall @t33 @t279))) % 0.38/0.61 (step @p415 :rule trans :premises (@p414 @p406)) % 0.38/0.61 (step @p416 :rule refl :args (@t280)) % 0.38/0.61 (step @p417 :rule refl :args (@t277)) % 0.38/0.61 (step @p418 :rule nary_cong :premises (@p417 @p416) :args (@t281)) % 0.38/0.61 (step @p419 :rule cong :premises (@p418) :args (@t282)) % 0.38/0.61 (step @p420 :rule trans :premises (@p419 @p415)) % 0.38/0.61 (step @p421 :rule cong :premises (@p420) :args (@t283)) % 0.38/0.61 (step @p422 :rule trans :premises (@p421 @p402)) % 0.38/0.61 (step @p423 :rule nary_cong :premises (@p422 @p396 @p395 @p401) :args (@t284)) % 0.38/0.61 (step @p424 :rule trans :premises (@p423 @p400)) % 0.38/0.61 (step @p425 :rule cong :premises (@p398 @p424) :args ((=> @t77 @t284))) % 0.38/0.61 (assume-push @p434 @t77) % 0.38/0.61 (step @p427 :rule instantiate :premises (@p163) :args ((@list @t272 @t253 @t257 @t255))) % 0.38/0.61 (step-pop @p435 :rule scope :premises (@p427)) % 0.38/0.61 (step @p428 :rule process_scope :premises (@p435) :args (@t284)) % 0.38/0.62 (step @p430 :rule eq_resolve :premises (@p428 @p425)) % 0.38/0.62 (step @p431 :rule eq_resolve :premises (@p430 @p399)) % 0.38/0.62 (step @p432 :rule implies_elim :premises (@p431)) % 0.38/0.62 (step @p433 false :rule chain_m_resolution :premises (@p432 @p389 @p163) :args (false @t269 (@list @t270 @t77))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------