%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL691^1 : TPTP v9.3.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:39 AM UTC 2026 % Result : Theorem 0.29s 0.60s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL691^1 : TPTP v9.3.1. Released v3.7.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.38 % Computer : n006.cluster.edu % 0.10/0.38 % Model : x86_64 x86_64 % 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.38 % Memory : 8046.5625MB % 0.10/0.38 % OS : Linux 6.8.0-71-generic % 0.10/0.38 % CPULimit : 300 % 0.10/0.38 % WCLimit : 300 % 0.10/0.38 % DateTime : Fri Sep 4 15:31:01 UTC 2026 % 0.10/0.38 % CPUTime : % 0.21/0.46 %----Proving TH0 % 0.29/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.60 % SZS status Theorem % 0.29/0.60 % SZS output start Proof % 0.29/0.60 ( % 0.29/0.60 (declare-sort $$unsorted 0) % 0.29/0.60 (declare-sort tptp.individuals 0) % 0.29/0.60 (declare-const tptp.reli (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.relr (-> $$unsorted $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.cs4_false (-> $$unsorted Bool)) % 0.29/0.60 (declare-const tptp.cs4_true (-> $$unsorted Bool)) % 0.29/0.60 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.29/0.60 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.29/0.60 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.29/0.60 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.29/0.60 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.29/0.60 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.29/0.60 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.29/0.60 (define tptp.mbox () (let ((_let_1 (@var "Y" $$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))))))))) % 0.29/0.60 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.29/0.60 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.29/0.60 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.29/0.60 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.29/0.60 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.29/0.60 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.29/0.60 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.29/0.60 (define tptp.cs4_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) _let_2) _let_1))))) % 0.29/0.60 (define tptp.cs4_and () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.29/0.60 (define tptp.cs4_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 0.29/0.60 (define tptp.cs4_impl () (let ((_let_1 (@var "__flatten_var_0" $$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.reli) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.29/0.60 (define tptp.cs4_all () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ tptp.mall _let_2)) _let_1))))) % 0.29/0.60 (define tptp.cs4_box () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ (_ tptp.mbox tptp.relr) _let_2)) _let_1))))) % 0.29/0.60 (define tptp.cs4_valid () (let ((_let_1 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.29/0.60 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.29/0.60 (define @t2 () (_ tptp.mbox tptp.reli)) % 0.29/0.60 (define @t3 () (_ @t2 @t1)) % 0.29/0.60 (define @t4 () (_ tptp.mimpl @t3)) % 0.29/0.60 (define @t5 () (@list @t1)) % 0.29/0.60 (define @t6 () (forall @t5 (_ tptp.mvalid (_ @t4 @t1)))) % 0.29/0.60 (define @t7 () (_ tptp.mbox tptp.relr)) % 0.29/0.60 (define @t8 () (_ @t7 @t1)) % 0.29/0.60 (define @t9 () (_ tptp.mimpl @t8)) % 0.29/0.60 (define @t10 () (forall @t5 (_ tptp.mvalid (_ @t9 @t1)))) % 0.29/0.60 (define @t11 () (_ @t2 @t8)) % 0.29/0.60 (define @t12 () (_ tptp.cs4_atom @t1)) % 0.29/0.60 (define @t13 () (forall @t5 (_ tptp.cs4_valid (_ (_ tptp.cs4_impl (_ tptp.cs4_box @t12)) @t12)))) % 0.29/0.60 (define @t14 () (not @t13)) % 0.29/0.60 (define @t15 () (@var "X" $$unsorted)) % 0.29/0.60 (define @t16 () (@list @t15)) % 0.29/0.60 (define @t17 () (lambda @t16 false)) % 0.29/0.60 (define @t18 () (lambda @t16 true)) % 0.29/0.60 (define @t19 () (@var "U" $$unsorted)) % 0.29/0.60 (define @t20 () (@var "X" (-> $$unsorted Bool))) % 0.29/0.60 (define @t21 () (_ @t20 @t19)) % 0.29/0.60 (define @t22 () (lambda (@list @t20 @t19) (not @t21))) % 0.29/0.60 (define @t23 () (@var "Y" (-> $$unsorted Bool))) % 0.29/0.60 (define @t24 () (_ @t23 @t19)) % 0.29/0.60 (define @t25 () (@list @t20 @t23 @t19)) % 0.29/0.60 (define @t26 () (lambda @t25 (or @t21 @t24))) % 0.29/0.60 (define @t27 () (lambda @t25 (and @t21 @t24))) % 0.29/0.60 (define @t28 () (@var "__flatten_var_0" $$unsorted)) % 0.29/0.60 (define @t29 () (@var "V" (-> $$unsorted Bool))) % 0.29/0.60 (define @t30 () (@var "U" (-> $$unsorted Bool))) % 0.29/0.60 (define @t31 () (@list @t30 @t29 @t28)) % 0.29/0.60 (define @t32 () (lambda @t31 (_ (_ (_ tptp.mor (_ tptp.mnot @t30)) @t29) @t28))) % 0.29/0.60 (define @t33 () (lambda @t31 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t30) @t29)) (_ (_ tptp.mimpl @t29) @t30)) @t28))) % 0.29/0.60 (define @t34 () (@var "Y" $$unsorted)) % 0.29/0.60 (define @t35 () (@var "P" (-> $$unsorted Bool))) % 0.29/0.60 (define @t36 () (_ @t35 @t34)) % 0.29/0.60 (define @t37 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.29/0.60 (define @t38 () (_ (_ @t37 @t15) @t34)) % 0.29/0.60 (define @t39 () (@list @t34)) % 0.29/0.60 (define @t40 () (forall @t39 (=> @t38 @t36))) % 0.29/0.60 (define @t41 () (@list @t37 @t35 @t15)) % 0.29/0.60 (define @t42 () (lambda @t41 @t40)) % 0.29/0.60 (define @t43 () (lambda @t41 (exists @t39 (and @t38 @t36)))) % 0.29/0.60 (define @t44 () (@var "W" $$unsorted)) % 0.29/0.60 (define @t45 () (@var "X" tptp.individuals)) % 0.29/0.60 (define @t46 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.29/0.60 (define @t47 () (_ (_ @t46 @t45) @t44)) % 0.29/0.60 (define @t48 () (@list @t45)) % 0.29/0.60 (define @t49 () (@list @t46 @t44)) % 0.29/0.60 (define @t50 () (lambda @t49 (forall @t48 @t47))) % 0.29/0.60 (define @t51 () (lambda @t49 (exists @t48 @t47))) % 0.29/0.60 (define @t52 () (_ @t35 @t44)) % 0.29/0.60 (define @t53 () (@list @t44)) % 0.29/0.60 (define @t54 () (forall @t53 @t52)) % 0.29/0.60 (define @t55 () (@list @t35)) % 0.29/0.60 (define @t56 () (lambda @t55 @t54)) % 0.29/0.60 (define @t57 () (lambda @t55 (exists @t53 @t52))) % 0.29/0.60 (define @t58 () (not @t52)) % 0.29/0.60 (define @t59 () (lambda @t55 (exists @t53 @t58))) % 0.29/0.60 (define @t60 () (lambda @t55 (forall @t53 @t58))) % 0.29/0.60 (define @t61 () (@list @t35 @t28)) % 0.29/0.60 (define @t62 () (lambda @t61 (_ (_ @t2 @t35) @t28))) % 0.29/0.60 (define @t63 () (@var "B" (-> $$unsorted Bool))) % 0.29/0.60 (define @t64 () (@list @t1 @t63 @t28)) % 0.29/0.60 (define @t65 () (lambda @t64 (_ (_ (_ tptp.mand @t1) @t63) @t28))) % 0.29/0.60 (define @t66 () (lambda @t64 (_ (_ (_ tptp.mor @t1) @t63) @t28))) % 0.29/0.60 (define @t67 () (lambda @t64 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t63)) @t28))) % 0.29/0.60 (define @t68 () (@var "A" (-> tptp.individuals $$unsorted Bool))) % 0.29/0.60 (define @t69 () (lambda (@list @t68 @t28) (_ (_ @t2 (_ tptp.mall @t68)) @t28))) % 0.29/0.60 (define @t70 () (@list @t1 @t28)) % 0.29/0.60 (define @t71 () (lambda @t70 (_ @t11 @t28))) % 0.29/0.60 (define @t72 () (lambda @t5 (_ tptp.mvalid @t1))) % 0.29/0.60 (define @t73 () (@var "BOUND_VARIABLE_8447" $$unsorted)) % 0.29/0.60 (define @t74 () (_ @t1 @t73)) % 0.29/0.60 (define @t75 () (not (tptp.reli @t34 @t73))) % 0.29/0.60 (define @t76 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 0.29/0.60 (define @t77 () (_ @t1 @t76)) % 0.29/0.60 (define @t78 () (@var "BOUND_VARIABLE_7941" $$unsorted)) % 0.29/0.60 (define @t79 () (not (tptp.reli @t78 @t76))) % 0.29/0.60 (define @t80 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 0.29/0.60 (define @t81 () (not (tptp.relr @t80 @t78))) % 0.29/0.60 (define @t82 () (@list @t80 @t78 @t76)) % 0.29/0.60 (define @t83 () (forall @t82 (or (not (tptp.reli @t34 @t80)) @t81 @t79 @t77))) % 0.29/0.60 (define @t84 () (not @t83)) % 0.29/0.60 (define @t85 () (not (tptp.reli @t44 @t34))) % 0.29/0.60 (define @t86 () (or @t85 @t84 @t75 @t74)) % 0.29/0.60 (define @t87 () (forall (@list @t1 @t44 @t34 @t73) @t86)) % 0.29/0.60 (define @t88 () (forall (@list @t44 @t34 @t73) @t86)) % 0.29/0.60 (define @t89 () (@list @t34 @t73)) % 0.29/0.60 (define @t90 () (forall @t89 @t86)) % 0.29/0.60 (define @t91 () (not (tptp.reli @t28 @t34))) % 0.29/0.60 (define @t92 () (or @t91 @t84 @t75 @t74)) % 0.29/0.60 (define @t93 () (@list @t28)) % 0.29/0.60 (define @t94 () (lambda @t93 (forall @t89 @t92))) % 0.29/0.60 (define @t95 () (_ @t94 @t44)) % 0.29/0.60 (define @t96 () (forall @t53 @t95)) % 0.29/0.60 (define @t97 () (_ @t1 @t44)) % 0.29/0.60 (define @t98 () (forall @t53 @t97)) % 0.29/0.60 (define @t99 () (lambda @t5 @t98)) % 0.29/0.60 (define @t100 () (or @t75 @t74)) % 0.29/0.60 (define @t101 () (or @t91 @t84 @t100)) % 0.29/0.60 (define @t102 () (forall @t89 @t101)) % 0.29/0.60 (define @t103 () (@list @t73)) % 0.29/0.60 (define @t104 () (forall @t103 @t101)) % 0.29/0.60 (define @t105 () (forall @t103 @t100)) % 0.29/0.60 (define @t106 () (@var "BOUND_VARIABLE_8431" $$unsorted)) % 0.29/0.60 (define @t107 () (@list @t106)) % 0.29/0.60 (define @t108 () (or @t91 @t84 @t105)) % 0.29/0.60 (define @t109 () (_ @t1 @t106)) % 0.29/0.60 (define @t110 () (@list @t106)) % 0.29/0.60 (define @t111 () (forall @t110 (or (not (tptp.reli @t34 @t106)) @t109))) % 0.29/0.60 (define @t112 () (_ @t1 @t34)) % 0.29/0.60 (define @t113 () (forall @t39 (or @t91 @t112))) % 0.29/0.60 (define @t114 () (@list @t34)) % 0.29/0.60 (define @t115 () (lambda @t93 @t113)) % 0.29/0.60 (define @t116 () (or @t91 @t84 (_ @t115 @t34))) % 0.29/0.60 (define @t117 () (forall @t39 @t116)) % 0.29/0.60 (define @t118 () (lambda @t93 @t117)) % 0.29/0.60 (define @t119 () (_ @t63 @t34)) % 0.29/0.60 (define @t120 () (@list @t63 @t28)) % 0.29/0.60 (define @t121 () (_ @t35 @t34)) % 0.29/0.60 (define @t122 () (forall @t39 (or @t91 @t121))) % 0.29/0.60 (define @t123 () (_ (lambda @t61 @t122) @t1)) % 0.29/0.60 (define @t124 () (not (tptp.relr @t34 @t78))) % 0.29/0.60 (define @t125 () (or @t91 @t124 @t79 @t77)) % 0.29/0.60 (define @t126 () (@list @t34 @t78 @t76)) % 0.29/0.60 (define @t127 () (forall @t126 @t125)) % 0.29/0.60 (define @t128 () (lambda @t93 @t127)) % 0.29/0.60 (define @t129 () (not (_ @t128 @t34))) % 0.29/0.60 (define @t130 () (or @t91 @t129 @t119)) % 0.29/0.60 (define @t131 () (forall @t39 @t130)) % 0.29/0.60 (define @t132 () (lambda @t120 @t131)) % 0.29/0.60 (define @t133 () (not @t112)) % 0.29/0.60 (define @t134 () (forall @t39 (or @t91 @t133 @t119))) % 0.29/0.60 (define @t135 () (lambda @t64 @t134)) % 0.29/0.60 (define @t136 () (or @t79 @t77)) % 0.29/0.60 (define @t137 () (or @t91 @t124 @t136)) % 0.29/0.60 (define @t138 () (forall @t126 @t137)) % 0.29/0.60 (define @t139 () (@list @t76)) % 0.29/0.60 (define @t140 () (forall @t139 @t137)) % 0.29/0.60 (define @t141 () (@list @t34 @t78)) % 0.29/0.60 (define @t142 () (forall @t139 @t136)) % 0.29/0.60 (define @t143 () (@var "BOUND_VARIABLE_8378" $$unsorted)) % 0.29/0.60 (define @t144 () (@list @t143)) % 0.29/0.60 (define @t145 () (or @t91 @t124 @t142)) % 0.29/0.60 (define @t146 () (forall @t39 (or (not (tptp.reli @t78 @t34)) @t112))) % 0.29/0.60 (define @t147 () (or @t91 @t124 @t146)) % 0.29/0.60 (define @t148 () (_ @t115 @t78)) % 0.29/0.60 (define @t149 () (or @t91 @t124 @t148)) % 0.29/0.60 (define @t150 () (forall @t141 @t149)) % 0.29/0.60 (define @t151 () (lambda @t93 @t150)) % 0.29/0.60 (define @t152 () (_ @t1 @t78)) % 0.29/0.60 (define @t153 () (forall @t141 (or @t91 @t124 @t152))) % 0.29/0.60 (define @t154 () (lambda @t70 @t153)) % 0.29/0.60 (define @t155 () (forall @t5 (_ @t99 (_ (_ @t135 (_ @t154 @t123)) @t123)))) % 0.29/0.60 (define @t156 () (not (tptp.reli @t15 @t34))) % 0.29/0.60 (define @t157 () (forall @t39 (or @t156 @t121))) % 0.29/0.60 (define @t158 () (lambda @t16 @t157)) % 0.29/0.60 (define @t159 () (@list @t35 @t15)) % 0.29/0.60 (define @t160 () (lambda @t159 @t157)) % 0.29/0.60 (define @t161 () (_ @t37 @t15 @t34)) % 0.29/0.60 (define @t162 () (lambda @t41 (forall @t39 (or (not @t161) @t121)))) % 0.29/0.60 (define @t163 () (_ @t162 tptp.reli)) % 0.29/0.60 (define @t164 () (not @t38)) % 0.29/0.60 (define @t165 () (or @t164 @t36)) % 0.29/0.60 (define @t166 () (or @t156 @t124 @t152)) % 0.29/0.60 (define @t167 () (or @t124 @t152)) % 0.29/0.60 (define @t168 () (or @t156 @t167)) % 0.29/0.60 (define @t169 () (forall @t141 @t168)) % 0.29/0.60 (define @t170 () (@list @t78)) % 0.29/0.60 (define @t171 () (forall @t170 @t168)) % 0.29/0.60 (define @t172 () (forall @t170 @t167)) % 0.29/0.60 (define @t173 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 0.29/0.60 (define @t174 () (@list @t173)) % 0.29/0.60 (define @t175 () (or @t156 @t172)) % 0.29/0.60 (define @t176 () (_ @t1 @t173)) % 0.29/0.60 (define @t177 () (@list @t173)) % 0.29/0.60 (define @t178 () (forall @t177 (or (not (tptp.relr @t34 @t173)) @t176))) % 0.29/0.60 (define @t179 () (not (tptp.relr @t15 @t34))) % 0.29/0.60 (define @t180 () (forall @t39 (or @t179 @t112))) % 0.29/0.60 (define @t181 () (lambda @t16 @t180)) % 0.29/0.60 (define @t182 () (or @t156 (_ @t181 @t34))) % 0.29/0.60 (define @t183 () (forall @t39 @t182)) % 0.29/0.60 (define @t184 () (lambda @t16 @t183)) % 0.29/0.60 (define @t185 () (lambda @t159 (forall @t39 (or @t179 @t121)))) % 0.29/0.60 (define @t186 () (_ @t162 tptp.relr)) % 0.29/0.60 (define @t187 () (_ @t63 @t34)) % 0.29/0.60 (define @t188 () (_ @t1 @t34)) % 0.29/0.60 (define @t189 () (not @t188)) % 0.29/0.60 (define @t190 () (or @t156 @t189 @t187)) % 0.29/0.60 (define @t191 () (or @t189 @t187)) % 0.29/0.60 (define @t192 () (_ @t1 @t28)) % 0.29/0.60 (define @t193 () (not @t192)) % 0.29/0.60 (define @t194 () (lambda @t93 (or @t193 (_ @t63 @t28)))) % 0.29/0.60 (define @t195 () (_ @t194 @t34)) % 0.29/0.60 (define @t196 () (or @t156 @t195)) % 0.29/0.60 (define @t197 () (forall @t39 @t196)) % 0.29/0.60 (define @t198 () (lambda @t16 @t197)) % 0.29/0.60 (define @t199 () (_ @t29 @t28)) % 0.29/0.60 (define @t200 () (@list @t29 @t28)) % 0.29/0.60 (define @t201 () (lambda @t200 (or @t193 @t199))) % 0.29/0.60 (define @t202 () (or (not (_ @t30 @t28)) @t199)) % 0.29/0.60 (define @t203 () (lambda @t31 @t202)) % 0.29/0.60 (define @t204 () (not (_ @t30 @t19))) % 0.29/0.60 (define @t205 () (@list @t19)) % 0.29/0.60 (define @t206 () (lambda @t205 (or @t204 (_ @t29 @t19)))) % 0.29/0.60 (define @t207 () (@list @t23 @t19)) % 0.29/0.60 (define @t208 () (lambda @t205 @t204)) % 0.29/0.60 (define @t209 () (_ @t208 @t19)) % 0.29/0.60 (define @t210 () (or @t209 @t24)) % 0.29/0.60 (define @t211 () (lambda @t207 @t210)) % 0.29/0.60 (define @t212 () (_ @t35 @t44)) % 0.29/0.60 (define @t213 () (lambda @t55 (forall @t53 @t212))) % 0.29/0.60 (define @t214 () (@quantifiers_skolemize @t87 0)) % 0.29/0.60 (define @t215 () (@quantifiers_skolemize @t87 2)) % 0.29/0.60 (define @t216 () (forall @t82 (or (not (tptp.reli @t215 @t80)) @t81 @t79 (_ @t214 @t76)))) % 0.29/0.60 (define @t217 () (@quantifiers_skolemize @t87 3)) % 0.29/0.60 (define @t218 () (_ @t214 @t217)) % 0.29/0.60 (define @t219 () (tptp.reli @t215 @t217)) % 0.29/0.60 (define @t220 () (not @t219)) % 0.29/0.60 (define @t221 () (not @t216)) % 0.29/0.60 (define @t222 () (or (not (tptp.reli (@quantifiers_skolemize @t87 1) @t215)) @t221 @t220 @t218)) % 0.29/0.60 (define @t223 () (@list true)) % 0.29/0.60 (define @t224 () (@list @t222)) % 0.29/0.60 (define @t225 () (not (forall @t39 (or @t85 @t112)))) % 0.29/0.60 (define @t226 () (or @t225 @t97)) % 0.29/0.60 (define @t227 () (@list @t1 @t44)) % 0.29/0.60 (define @t228 () (_ @t1 @t44)) % 0.29/0.60 (define @t229 () (or @t225 @t228)) % 0.29/0.60 (define @t230 () (not @t113)) % 0.29/0.60 (define @t231 () (lambda @t93 (or @t230 @t192))) % 0.29/0.60 (define @t232 () (_ @t231 @t44)) % 0.29/0.60 (define @t233 () (forall @t53 @t232)) % 0.29/0.60 (define @t234 () (lambda @t16 (forall @t39 (or @t156 @t112)))) % 0.29/0.60 (define @t235 () (_ @t234 @t28)) % 0.29/0.60 (define @t236 () (not @t235)) % 0.29/0.60 (define @t237 () (or @t236 @t199)) % 0.29/0.60 (define @t238 () (lambda @t200 @t237)) % 0.29/0.60 (define @t239 () (_ @t214 @t34)) % 0.29/0.60 (define @t240 () (forall @t39 (or (not (tptp.relr @t217 @t34)) @t239))) % 0.29/0.60 (define @t241 () (@quantifiers_skolemize @t240 0)) % 0.29/0.60 (define @t242 () (not (forall @t39 (or (not (tptp.relr @t44 @t34)) @t112)))) % 0.29/0.60 (define @t243 () (or @t242 @t97)) % 0.29/0.60 (define @t244 () (or @t242 @t228)) % 0.29/0.60 (define @t245 () (forall @t39 (or (not (tptp.relr @t28 @t34)) @t112))) % 0.29/0.60 (define @t246 () (not @t245)) % 0.29/0.60 (define @t247 () (lambda @t93 (or @t246 @t192))) % 0.29/0.60 (define @t248 () (_ @t247 @t44)) % 0.29/0.60 (define @t249 () (forall @t53 @t248)) % 0.29/0.60 (define @t250 () (_ @t181 @t28)) % 0.29/0.60 (define @t251 () (not @t250)) % 0.29/0.60 (define @t252 () (or @t251 @t199)) % 0.29/0.60 (define @t253 () (lambda @t200 @t252)) % 0.29/0.60 (define @t254 () (not @t240)) % 0.29/0.60 (define @t255 () (or @t254 @t218)) % 0.29/0.60 (define @t256 () (@list true false)) % 0.29/0.60 (define @t257 () (_ @t214 @t241)) % 0.29/0.60 (define @t258 () (tptp.relr @t217 @t241)) % 0.29/0.60 (define @t259 () (not @t258)) % 0.29/0.60 (define @t260 () (or @t259 @t257)) % 0.29/0.60 (define @t261 () (@list @t260)) % 0.29/0.60 (define @t262 () (forall @t39 (or (not (tptp.reli @t241 @t34)) @t239))) % 0.29/0.60 (define @t263 () (not @t262)) % 0.29/0.60 (define @t264 () (or @t263 @t257)) % 0.29/0.60 (define @t265 () (@quantifiers_skolemize @t262 0)) % 0.29/0.60 (define @t266 () (_ @t214 @t265)) % 0.29/0.60 (define @t267 () (tptp.reli @t241 @t265)) % 0.29/0.60 (define @t268 () (not @t267)) % 0.29/0.60 (define @t269 () (or @t268 @t266)) % 0.29/0.60 (define @t270 () (@list @t269)) % 0.29/0.60 (define @t271 () (or @t220 @t259 @t268 @t266)) % 0.29/0.60 (define @t272 () (not @t271)) % 0.29/0.60 (assume @p1 (= tptp.cs4_true tptp.mtrue)) % 0.29/0.60 (assume @p2 (= tptp.cs4_false tptp.mfalse)) % 0.29/0.60 (assume @p3 @t6) % 0.29/0.60 (assume @p4 @t10) % 0.29/0.60 (assume @p5 (forall @t5 (_ tptp.mvalid (_ @t4 (_ @t2 @t3))))) % 0.29/0.60 (assume @p6 (forall @t5 (_ tptp.mvalid (_ @t9 (_ @t7 @t8))))) % 0.29/0.60 (assume @p7 (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t11) (_ @t7 @t3))))) % 0.29/0.60 (assume @p8 @t14) % 0.29/0.60 (assume @p9 true) % 0.29/0.60 (step @p10 (= tptp.mfalse @t17) :rule refl :args (@t17)) % 0.29/0.60 (step @p11 (= tptp.mtrue @t18) :rule refl :args (@t18)) % 0.29/0.60 (step @p12 (= tptp.mnot @t22) :rule refl :args (@t22)) % 0.29/0.60 (step @p13 (= tptp.mor @t26) :rule refl :args (@t26)) % 0.29/0.60 (step @p14 (= tptp.mand @t27) :rule refl :args (@t27)) % 0.29/0.60 (step @p15 (= tptp.mimpl @t32) :rule refl :args (@t32)) % 0.29/0.60 (step @p16 (= tptp.miff @t33) :rule refl :args (@t33)) % 0.29/0.60 (step @p17 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.29/0.60 (step @p18 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.29/0.60 (step @p19 (= tptp.mall @t50) :rule refl :args (@t50)) % 0.29/0.60 (step @p20 (= tptp.mexists @t51) :rule refl :args (@t51)) % 0.29/0.60 (step @p21 (= tptp.mvalid @t56) :rule refl :args (@t56)) % 0.29/0.60 (step @p22 (= tptp.msatisfiable @t57) :rule refl :args (@t57)) % 0.29/0.60 (step @p23 (= tptp.mcountersatisfiable @t59) :rule refl :args (@t59)) % 0.29/0.60 (step @p24 (= tptp.minvalid @t60) :rule refl :args (@t60)) % 0.29/0.60 (step @p25 (= tptp.cs4_atom @t62) :rule refl :args (@t62)) % 0.29/0.60 (step @p26 (= tptp.cs4_and @t65) :rule refl :args (@t65)) % 0.29/0.60 (step @p27 (= tptp.cs4_or @t66) :rule refl :args (@t66)) % 0.29/0.60 (step @p28 (= tptp.cs4_impl @t67) :rule refl :args (@t67)) % 0.29/0.60 (step @p29 (= tptp.cs4_all @t69) :rule refl :args (@t69)) % 0.29/0.60 (step @p30 (= tptp.cs4_box @t71) :rule refl :args (@t71)) % 0.29/0.60 (step @p31 (= tptp.cs4_valid @t72) :rule refl :args (@t72)) % 0.29/0.60 (step @p32 :rule quant-merge-prenex :args ((= (forall @t5 @t88) @t87))) % 0.29/0.60 (step @p33 :rule quant-merge-prenex :args ((= (forall @t53 @t90) @t88))) % 0.29/0.60 (step @p34 :rule beta-reduce :args ((= @t95 @t90))) % 0.29/0.60 (step @p35 :rule cong :premises (@p34) :args (@t96)) % 0.29/0.60 (step @p36 :rule trans :premises (@p35 @p33)) % 0.29/0.60 (step @p37 :rule beta-reduce :args ((= (_ @t99 @t94) @t96))) % 0.29/0.60 (step @p38 :rule trans :premises (@p37 @p36)) % 0.29/0.60 (step @p39 :rule aci_norm :args ((= @t101 @t92))) % 0.29/0.60 (step @p40 :rule cong :premises (@p39) :args (@t102)) % 0.29/0.60 (step @p41 :rule quant-merge-prenex :args ((= (forall @t39 @t104) @t102))) % 0.29/0.60 (step @p42 :rule alpha_equiv :args (@t105 (@list @t73) @t107)) % 0.29/0.60 (step @p43 :rule refl :args (@t84)) % 0.29/0.60 (step @p44 :rule refl :args (@t91)) % 0.29/0.60 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t108)) % 0.29/0.60 (step @p46 :rule quant-miniscope-or :args ((= @t104 @t108))) % 0.29/0.60 (step @p47 :rule trans :premises (@p46 @p45)) % 0.29/0.60 (step @p48 :rule symm :premises (@p47)) % 0.29/0.60 (step @p49 :rule cong :premises (@p48) :args ((forall @t39 (or @t91 @t84 @t111)))) % 0.29/0.60 (step @p50 :rule trans :premises (@p49 @p41)) % 0.29/0.60 (step @p51 :rule trans :premises (@p50 @p40)) % 0.29/0.60 (step @p52 :rule beta-reduce :args ((= (_ (lambda @t93 (forall @t110 (or (not (tptp.reli @t28 @t106)) @t109))) @t34) @t111))) % 0.29/0.60 (step @p53 :rule refl :args (@t34)) % 0.29/0.60 (step @p54 :rule alpha_equiv :args (@t113 @t114 @t107)) % 0.29/0.60 (step @p55 :rule cong :premises (@p54) :args (@t115)) % 0.29/0.60 (step @p56 :rule ho_cong :premises (@p55 @p53)) % 0.29/0.60 (step @p57 :rule trans :premises (@p56 @p52)) % 0.29/0.60 (step @p58 :rule refl :args (@t84)) % 0.29/0.60 (step @p59 :rule refl :args (@t91)) % 0.29/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t116)) % 0.29/0.60 (step @p61 :rule cong :premises (@p60) :args (@t117)) % 0.29/0.60 (step @p62 :rule trans :premises (@p61 @p51)) % 0.29/0.60 (step @p63 :rule cong :premises (@p62) :args (@t118)) % 0.29/0.60 (step @p64 :rule beta-reduce :args ((= (_ (lambda @t120 (forall @t39 (or @t91 @t84 @t119))) @t115) @t118))) % 0.29/0.60 (step @p65 :rule trans :premises (@p64 @p63)) % 0.29/0.60 (step @p66 :rule beta-reduce :args ((= @t123 @t115))) % 0.29/0.60 (step @p67 :rule refl :args (@t119)) % 0.29/0.60 (step @p68 :rule beta-reduce :args ((= (_ (lambda @t93 (forall @t82 (or (not (tptp.reli @t28 @t80)) @t81 @t79 @t77))) @t34) @t83))) % 0.29/0.60 (step @p69 :rule alpha_equiv :args (@t127 @t114 (@list @t80))) % 0.29/0.60 (step @p70 :rule cong :premises (@p69) :args (@t128)) % 0.29/0.60 (step @p71 :rule ho_cong :premises (@p70 @p53)) % 0.29/0.60 (step @p72 :rule trans :premises (@p71 @p68)) % 0.29/0.60 (step @p73 :rule cong :premises (@p72) :args (@t129)) % 0.29/0.60 (step @p74 :rule nary_cong :premises (@p59 @p73 @p67) :args (@t130)) % 0.29/0.60 (step @p75 :rule cong :premises (@p74) :args (@t131)) % 0.29/0.60 (step @p76 :rule cong :premises (@p75) :args (@t132)) % 0.29/0.60 (step @p77 :rule beta-reduce :args ((= (_ @t135 @t128) @t132))) % 0.29/0.60 (step @p78 :rule trans :premises (@p77 @p76)) % 0.29/0.60 (step @p79 :rule aci_norm :args ((= @t137 @t125))) % 0.29/0.60 (step @p80 :rule cong :premises (@p79) :args (@t138)) % 0.29/0.60 (step @p81 :rule quant-merge-prenex :args ((= (forall @t141 @t140) @t138))) % 0.29/0.60 (step @p82 :rule alpha_equiv :args (@t142 (@list @t76) @t144)) % 0.29/0.60 (step @p83 :rule refl :args (@t124)) % 0.29/0.60 (step @p84 :rule nary_cong :premises (@p44 @p83 @p82) :args (@t145)) % 0.29/0.60 (step @p85 :rule quant-miniscope-or :args ((= @t140 @t145))) % 0.29/0.60 (step @p86 :rule trans :premises (@p85 @p84)) % 0.29/0.60 (step @p87 :rule symm :premises (@p86)) % 0.29/0.60 (step @p88 :rule cong :premises (@p87) :args ((forall @t141 (or @t91 @t124 (forall (@list @t143) (or (not (tptp.reli @t78 @t143)) (_ @t1 @t143))))))) % 0.29/0.60 (step @p89 :rule trans :premises (@p88 @p81)) % 0.29/0.60 (step @p90 :rule trans :premises (@p89 @p80)) % 0.29/0.60 (step @p91 :rule alpha_equiv :args (@t146 @t114 @t144)) % 0.29/0.60 (step @p92 :rule nary_cong :premises (@p44 @p83 @p91) :args (@t147)) % 0.29/0.60 (step @p93 :rule cong :premises (@p92) :args ((forall @t141 @t147))) % 0.29/0.60 (step @p94 :rule trans :premises (@p93 @p90)) % 0.29/0.60 (step @p95 :rule beta-reduce :args ((= @t148 @t146))) % 0.29/0.60 (step @p96 :rule refl :args (@t124)) % 0.29/0.60 (step @p97 :rule nary_cong :premises (@p59 @p96 @p95) :args (@t149)) % 0.29/0.60 (step @p98 :rule cong :premises (@p97) :args (@t150)) % 0.29/0.60 (step @p99 :rule trans :premises (@p98 @p94)) % 0.29/0.60 (step @p100 :rule cong :premises (@p99) :args (@t151)) % 0.29/0.60 (step @p101 :rule beta-reduce :args ((= (_ @t154 @t115) @t151))) % 0.29/0.60 (step @p102 :rule trans :premises (@p101 @p100)) % 0.29/0.60 (step @p103 :rule refl :args (@t154)) % 0.29/0.60 (step @p104 :rule ho_cong :premises (@p103 @p66)) % 0.29/0.60 (step @p105 :rule trans :premises (@p104 @p102)) % 0.29/0.60 (step @p106 :rule refl :args (@t135)) % 0.29/0.60 (step @p107 :rule ho_cong :premises (@p106 @p105)) % 0.29/0.60 (step @p108 :rule trans :premises (@p107 @p78)) % 0.29/0.60 (step @p109 :rule ho_cong :premises (@p108 @p66)) % 0.29/0.60 (step @p110 :rule trans :premises (@p109 @p65)) % 0.29/0.60 (step @p111 :rule refl :args (@t99)) % 0.29/0.60 (step @p112 :rule ho_cong :premises (@p111 @p110)) % 0.29/0.60 (step @p113 :rule trans :premises (@p112 @p38)) % 0.29/0.60 (step @p114 :rule cong :premises (@p113) :args (@t155)) % 0.29/0.60 (step @p115 :rule trans :premises (@p114 @p32)) % 0.29/0.60 (step @p116 :rule cong :premises (@p115) :args ((not @t155))) % 0.29/0.60 (step @p117 :rule refl :args (@t1)) % 0.29/0.60 (step @p118 :rule beta-reduce :args ((= (_ @t158 @t28) @t122))) % 0.29/0.60 (step @p119 :rule refl :args (@t28)) % 0.29/0.60 (step @p120 :rule beta-reduce :args ((= (_ @t160 @t35) @t158))) % 0.29/0.60 (step @p121 :rule refl :args (@t35)) % 0.29/0.60 (step @p122 :rule beta-reduce :args ((= @t163 @t160))) % 0.29/0.60 (step @p123 :rule ho_cong :premises (@p122 @p121)) % 0.29/0.60 (step @p124 :rule trans :premises (@p123 @p120)) % 0.29/0.60 (step @p125 :rule ho_cong :premises (@p124 @p119)) % 0.29/0.60 (step @p126 :rule trans :premises (@p125 @p118)) % 0.29/0.60 (step @p127 :rule refl :args (tptp.reli)) % 0.29/0.60 (step @p128 :rule refl :args (@t121)) % 0.29/0.60 (step @p129 :rule refl :args (@t36)) % 0.29/0.60 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t36 @t121))) % 0.29/0.60 (step @p131 :rule symm :premises (@p130)) % 0.29/0.60 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.29/0.60 (step @p133 :rule refl :args (@t161)) % 0.29/0.60 (step @p134 :rule refl :args (@t38)) % 0.29/0.60 (step @p135 :rule 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reordering :premises (@p369) :args ((or @t257 @t263 (not @t264)))) % 0.29/0.60 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p329) :args (@t263 @t256 (@list @t257 @t264))) % 0.29/0.60 (step @p372 :rule skolemize :premises (@p371)) % 0.29/0.60 (step @p373 :rule cnf_or_neg :args (@t269 1)) % 0.29/0.60 (step @p374 :rule chain_m_resolution :premises (@p373 @p372) :args ((not @t266) @t223 @t270)) % 0.29/0.60 (step @p375 :rule bool-double-not-elim :args (@t267)) % 0.29/0.60 (step @p376 :rule refl :args (@t269)) % 0.29/0.60 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or @t269 (not @t268)))) % 0.29/0.60 (step @p378 :rule cnf_or_neg :args (@t269 0)) % 0.29/0.60 (step @p379 :rule eq_resolve :premises (@p378 @p377)) % 0.29/0.60 (step @p380 :rule reordering :premises (@p379) :args ((or @t267 @t269))) % 0.29/0.60 (step @p381 :rule chain_m_resolution :premises (@p380 @p372) :args (@t267 @t223 @t270)) % 0.29/0.60 (step @p382 :rule bool-double-not-elim :args (@t258)) % 0.29/0.60 (step @p383 :rule refl :args (@t260)) % 0.29/0.60 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or @t260 (not @t259)))) % 0.29/0.60 (step @p385 :rule cnf_or_neg :args (@t260 0)) % 0.29/0.60 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 0.29/0.60 (step @p387 :rule reordering :premises (@p386) :args ((or @t258 @t260))) % 0.29/0.60 (step @p388 :rule chain_m_resolution :premises (@p387 @p366) :args (@t258 @t223 @t261)) % 0.29/0.60 (step @p389 :rule bool-double-not-elim :args (@t219)) % 0.29/0.60 (step @p390 :rule nary_cong :premises (@p281 @p389) :args ((or @t222 (not @t220)))) % 0.29/0.60 (step @p391 :rule cnf_or_neg :args (@t222 2)) % 0.29/0.60 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 0.29/0.60 (step @p393 :rule reordering :premises (@p392) :args ((or @t219 @t222))) % 0.29/0.60 (step @p394 :rule chain_m_resolution :premises (@p393 @p279) :args (@t219 @t223 @t224)) % 0.29/0.60 (step @p395 :rule cnf_or_pos :args (@t271)) % 0.29/0.60 (step @p396 :rule reordering :premises (@p395) :args ((or @t220 @t259 @t268 @t266 @t272))) % 0.29/0.60 (step @p397 :rule chain_m_resolution :premises (@p396 @p394 @p388 @p381 @p374) :args (@t272 (@list false false false true) (@list @t219 @t258 @t267 @t266))) % 0.29/0.60 (assume-push @p404 @t216) % 0.29/0.60 (step @p399 :rule instantiate :premises (@p286) :args ((@list @t217 @t241 @t265))) % 0.29/0.60 (step-pop @p405 :rule scope :premises (@p399)) % 0.29/0.60 (step @p400 :rule process_scope :premises (@p405) :args (@t271)) % 0.29/0.60 (step @p402 :rule implies_elim :premises (@p400)) % 0.29/0.60 (step @p403 false :rule chain_m_resolution :premises (@p402 @p397 @p286) :args (false @t256 (@list @t271 @t216))) % 0.29/0.60 ) % 0.29/0.60 % SZS output end Proof % 0.29/0.60 % cvc5 exiting %------------------------------------------------------------------------------