%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL623^1 : TPTP v9.3.1. Bugfixed v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 11:23:10 AM UTC 2026 % Result : Theorem 0.22s 0.55s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL623^1 : TPTP v9.3.1. Bugfixed v7.3.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.38 % Computer : n010.cluster.edu % 0.12/0.38 % Model : x86_64 x86_64 % 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.38 % Memory : 8046.5625MB % 0.12/0.38 % OS : Linux 6.8.0-71-generic % 0.12/0.38 % CPULimit : 300 % 0.12/0.38 % WCLimit : 300 % 0.12/0.38 % DateTime : Sat Sep 5 21:08:39 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.46 %----Proving TH0 % 0.22/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.22/0.55 % SZS status Theorem % 0.22/0.55 % SZS output start Proof % 0.22/0.55 ( % 0.22/0.55 (declare-sort $$unsorted 0) % 0.22/0.55 (declare-sort tptp.individuals 0) % 0.22/0.55 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.22/0.55 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.22/0.55 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.22/0.55 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.22/0.55 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.22/0.55 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.22/0.55 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.22/0.55 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.22/0.55 (define tptp.mbox () (let ((_let_1 (@var "Y" $$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))))))))) % 0.22/0.55 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.22/0.55 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.22/0.55 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.22/0.55 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.22/0.55 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.22/0.55 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.22/0.55 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.22/0.55 (define @t1 () (@var "X" (-> $$unsorted Bool))) % 0.22/0.55 (define @t2 () (_ tptp.mbox tptp.r)) % 0.22/0.55 (define @t3 () (_ @t2 @t1)) % 0.22/0.55 (define @t4 () (@list @t1)) % 0.22/0.55 (define @t5 () (forall @t4 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t2 (_ (_ tptp.mimpl @t3) @t1))) @t3)))) % 0.22/0.55 (define @t6 () (@var "P" (-> $$unsorted Bool))) % 0.22/0.55 (define @t7 () (_ @t2 @t6)) % 0.22/0.55 (define @t8 () (@list @t6)) % 0.22/0.55 (define @t9 () (forall @t8 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t2 (_ (_ tptp.mimpl @t7) @t6))) @t7)))) % 0.22/0.55 (define @t10 () (not @t9)) % 0.22/0.55 (define @t11 () (@var "X" $$unsorted)) % 0.22/0.55 (define @t12 () (@list @t11)) % 0.22/0.55 (define @t13 () (lambda @t12 false)) % 0.22/0.55 (define @t14 () (lambda @t12 true)) % 0.22/0.55 (define @t15 () (@var "U" $$unsorted)) % 0.22/0.55 (define @t16 () (_ @t1 @t15)) % 0.22/0.55 (define @t17 () (lambda (@list @t1 @t15) (not @t16))) % 0.22/0.55 (define @t18 () (@var "Y" (-> $$unsorted Bool))) % 0.22/0.55 (define @t19 () (_ @t18 @t15)) % 0.22/0.55 (define @t20 () (@list @t1 @t18 @t15)) % 0.22/0.55 (define @t21 () (lambda @t20 (or @t16 @t19))) % 0.22/0.55 (define @t22 () (lambda @t20 (and @t16 @t19))) % 0.22/0.55 (define @t23 () (@var "__flatten_var_0" $$unsorted)) % 0.22/0.55 (define @t24 () (@var "V" (-> $$unsorted Bool))) % 0.22/0.55 (define @t25 () (@var "U" (-> $$unsorted Bool))) % 0.22/0.55 (define @t26 () (@list @t25 @t24 @t23)) % 0.22/0.55 (define @t27 () (lambda @t26 (_ (_ (_ tptp.mor (_ tptp.mnot @t25)) @t24) @t23))) % 0.22/0.55 (define @t28 () (lambda @t26 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t25) @t24)) (_ (_ tptp.mimpl @t24) @t25)) @t23))) % 0.22/0.55 (define @t29 () (@var "Y" $$unsorted)) % 0.22/0.55 (define @t30 () (_ @t6 @t29)) % 0.22/0.55 (define @t31 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.22/0.55 (define @t32 () (_ (_ @t31 @t11) @t29)) % 0.22/0.55 (define @t33 () (@list @t29)) % 0.22/0.55 (define @t34 () (forall @t33 (=> @t32 @t30))) % 0.22/0.55 (define @t35 () (@list @t31 @t6 @t11)) % 0.22/0.55 (define @t36 () (lambda @t35 @t34)) % 0.22/0.55 (define @t37 () (lambda @t35 (exists @t33 (and @t32 @t30)))) % 0.22/0.55 (define @t38 () (@var "W" $$unsorted)) % 0.22/0.55 (define @t39 () (@var "X" tptp.individuals)) % 0.22/0.55 (define @t40 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.22/0.55 (define @t41 () (_ (_ @t40 @t39) @t38)) % 0.22/0.55 (define @t42 () (@list @t39)) % 0.22/0.55 (define @t43 () (@list @t40 @t38)) % 0.22/0.55 (define @t44 () (lambda @t43 (forall @t42 @t41))) % 0.22/0.55 (define @t45 () (lambda @t43 (exists @t42 @t41))) % 0.22/0.55 (define @t46 () (_ @t6 @t38)) % 0.22/0.55 (define @t47 () (@list @t38)) % 0.22/0.55 (define @t48 () (forall @t47 @t46)) % 0.22/0.55 (define @t49 () (lambda @t8 @t48)) % 0.22/0.55 (define @t50 () (lambda @t8 (exists @t47 @t46))) % 0.22/0.55 (define @t51 () (not @t46)) % 0.22/0.55 (define @t52 () (lambda @t8 (exists @t47 @t51))) % 0.22/0.55 (define @t53 () (lambda @t8 (forall @t47 @t51))) % 0.22/0.55 (define @t54 () (@var "BOUND_VARIABLE_7962" $$unsorted)) % 0.22/0.55 (define @t55 () (_ @t6 @t54)) % 0.22/0.55 (define @t56 () (not (tptp.r @t38 @t54))) % 0.22/0.55 (define @t57 () (_ @t6 @t29)) % 0.22/0.55 (define @t58 () (@var "BOUND_VARIABLE_7912" $$unsorted)) % 0.22/0.55 (define @t59 () (_ @t6 @t58)) % 0.22/0.55 (define @t60 () (not (tptp.r @t29 @t58))) % 0.22/0.55 (define @t61 () (@list @t58)) % 0.22/0.55 (define @t62 () (not (forall @t61 (or @t60 @t59)))) % 0.22/0.55 (define @t63 () (not (tptp.r @t38 @t29))) % 0.22/0.55 (define @t64 () (not (forall @t33 (or @t63 @t62 @t57)))) % 0.22/0.55 (define @t65 () (or @t64 @t56 @t55)) % 0.22/0.55 (define @t66 () (forall (@list @t6 @t38 @t54) @t65)) % 0.22/0.55 (define @t67 () (@list @t38 @t54)) % 0.22/0.55 (define @t68 () (or @t56 @t55)) % 0.22/0.55 (define @t69 () (or @t64 @t68)) % 0.22/0.55 (define @t70 () (forall @t67 @t69)) % 0.22/0.55 (define @t71 () (@list @t54)) % 0.22/0.55 (define @t72 () (forall @t71 @t69)) % 0.22/0.55 (define @t73 () (forall @t71 @t68)) % 0.22/0.55 (define @t74 () (@list @t29)) % 0.22/0.55 (define @t75 () (or @t64 @t73)) % 0.22/0.55 (define @t76 () (or @t64 (forall @t33 (or @t63 @t57)))) % 0.22/0.55 (define @t77 () (not (tptp.r @t23 @t29))) % 0.22/0.55 (define @t78 () (forall @t33 (or @t77 @t57))) % 0.22/0.55 (define @t79 () (forall @t33 (or @t77 @t62 @t57))) % 0.22/0.55 (define @t80 () (not @t79)) % 0.22/0.55 (define @t81 () (@list @t23)) % 0.22/0.55 (define @t82 () (lambda @t81 (or @t80 @t78))) % 0.22/0.55 (define @t83 () (_ @t82 @t38)) % 0.22/0.55 (define @t84 () (forall @t47 @t83)) % 0.22/0.56 (define @t85 () (_ @t6 @t38)) % 0.22/0.56 (define @t86 () (lambda @t8 (forall @t47 @t85))) % 0.22/0.56 (define @t87 () (not (tptp.r @t11 @t29))) % 0.22/0.56 (define @t88 () (forall @t33 (or @t87 @t57))) % 0.22/0.56 (define @t89 () (lambda @t12 @t88)) % 0.22/0.56 (define @t90 () (_ @t89 @t23)) % 0.22/0.56 (define @t91 () (or @t80 @t90)) % 0.22/0.56 (define @t92 () (lambda @t81 @t91)) % 0.22/0.56 (define @t93 () (_ @t24 @t23)) % 0.22/0.56 (define @t94 () (@list @t24 @t23)) % 0.22/0.56 (define @t95 () (lambda (@list @t6 @t11) @t88)) % 0.22/0.56 (define @t96 () (_ @t31 @t11 @t29)) % 0.22/0.56 (define @t97 () (_ (lambda @t35 (forall @t33 (or (not @t96) @t57))) tptp.r)) % 0.22/0.56 (define @t98 () (lambda @t12 (forall @t33 (or @t87 @t62 @t57)))) % 0.22/0.56 (define @t99 () (_ @t98 @t23)) % 0.22/0.56 (define @t100 () (not @t99)) % 0.22/0.56 (define @t101 () (or @t100 @t93)) % 0.22/0.56 (define @t102 () (lambda @t94 @t101)) % 0.22/0.56 (define @t103 () (or (not (_ @t25 @t23)) @t93)) % 0.22/0.56 (define @t104 () (lambda @t26 @t103)) % 0.22/0.56 (define @t105 () (or @t87 @t62 @t30)) % 0.22/0.56 (define @t106 () (or @t62 @t30)) % 0.22/0.56 (define @t107 () (_ @t6 @t23)) % 0.22/0.56 (define @t108 () (not @t78)) % 0.22/0.56 (define @t109 () (or @t108 @t107)) % 0.22/0.56 (define @t110 () (lambda @t81 @t109)) % 0.22/0.56 (define @t111 () (or @t87 (_ @t110 @t29))) % 0.22/0.56 (define @t112 () (forall @t33 @t111)) % 0.22/0.56 (define @t113 () (lambda @t12 @t112)) % 0.22/0.56 (define @t114 () (not @t90)) % 0.22/0.56 (define @t115 () (or @t114 @t93)) % 0.22/0.56 (define @t116 () (lambda @t94 @t115)) % 0.22/0.56 (define @t117 () (_ @t97 @t6)) % 0.22/0.56 (define @t118 () (forall @t8 (_ @t86 (_ (_ @t104 (_ @t97 (_ (_ @t104 @t117) @t6))) @t117)))) % 0.22/0.56 (define @t119 () (not @t32)) % 0.22/0.56 (define @t120 () (or @t119 @t30)) % 0.22/0.56 (define @t121 () (not (_ @t25 @t15))) % 0.22/0.56 (define @t122 () (@list @t15)) % 0.22/0.56 (define @t123 () (lambda @t122 (or @t121 (_ @t24 @t15)))) % 0.22/0.56 (define @t124 () (@list @t18 @t15)) % 0.22/0.56 (define @t125 () (lambda @t122 @t121)) % 0.22/0.56 (define @t126 () (_ @t125 @t15)) % 0.22/0.56 (define @t127 () (or @t126 @t19)) % 0.22/0.56 (define @t128 () (lambda @t124 @t127)) % 0.22/0.56 (define @t129 () (@quantifiers_skolemize @t66 2)) % 0.22/0.56 (define @t130 () (@quantifiers_skolemize @t66 1)) % 0.22/0.56 (define @t131 () (tptp.r @t130 @t129)) % 0.22/0.56 (define @t132 () (@quantifiers_skolemize @t66 0)) % 0.22/0.56 (define @t133 () (_ @t132 @t129)) % 0.22/0.56 (define @t134 () (not @t131)) % 0.22/0.56 (define @t135 () (_ @t132 @t29)) % 0.22/0.56 (define @t136 () (not (tptp.r @t130 @t29))) % 0.22/0.56 (define @t137 () (forall @t33 (or @t136 (not (forall @t61 (or @t60 (_ @t132 @t58)))) @t135))) % 0.22/0.56 (define @t138 () (not @t137)) % 0.22/0.56 (define @t139 () (or @t138 @t134 @t133)) % 0.22/0.56 (define @t140 () (@list true)) % 0.22/0.56 (define @t141 () (@list @t139)) % 0.22/0.56 (define @t142 () (@var "BOUND_VARIABLE_8370" $$unsorted)) % 0.22/0.56 (define @t143 () (@var "BOUND_VARIABLE_8371" $$unsorted)) % 0.22/0.56 (define @t144 () (@list @t142 @t143)) % 0.22/0.56 (define @t145 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 0.22/0.56 (define @t146 () (not (tptp.r @t29 @t145))) % 0.22/0.56 (define @t147 () (@list @t145)) % 0.22/0.56 (define @t148 () (forall @t33 (or @t136 (not (forall @t147 (or @t146 (_ @t132 @t145)))) @t135))) % 0.22/0.56 (define @t149 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 0.22/0.56 (define @t150 () (_ @t1 @t149)) % 0.22/0.56 (define @t151 () (not (tptp.r @t38 @t149))) % 0.22/0.56 (define @t152 () (_ @t1 @t29)) % 0.22/0.56 (define @t153 () (_ @t1 @t145)) % 0.22/0.56 (define @t154 () (not (forall @t147 (or @t146 @t153)))) % 0.22/0.56 (define @t155 () (not (forall @t33 (or @t63 @t154 @t152)))) % 0.22/0.56 (define @t156 () (or @t155 @t151 @t150)) % 0.22/0.56 (define @t157 () (@list @t38 @t149)) % 0.22/0.56 (define @t158 () (or @t151 @t150)) % 0.22/0.56 (define @t159 () (or @t155 @t158)) % 0.22/0.56 (define @t160 () (forall @t157 @t159)) % 0.22/0.56 (define @t161 () (@list @t149)) % 0.22/0.56 (define @t162 () (forall @t161 @t159)) % 0.22/0.56 (define @t163 () (forall @t161 @t158)) % 0.22/0.56 (define @t164 () (or @t155 @t163)) % 0.22/0.56 (define @t165 () (or @t155 (forall @t33 (or @t63 @t152)))) % 0.22/0.56 (define @t166 () (forall @t33 (or @t77 @t152))) % 0.22/0.56 (define @t167 () (forall @t33 (or @t77 @t154 @t152))) % 0.22/0.56 (define @t168 () (not @t167)) % 0.22/0.56 (define @t169 () (lambda @t81 (or @t168 @t166))) % 0.22/0.56 (define @t170 () (_ @t169 @t38)) % 0.22/0.56 (define @t171 () (forall @t47 @t170)) % 0.22/0.56 (define @t172 () (lambda @t12 (forall @t33 (or @t87 @t152)))) % 0.22/0.56 (define @t173 () (_ @t172 @t23)) % 0.22/0.56 (define @t174 () (or @t168 @t173)) % 0.22/0.56 (define @t175 () (lambda @t81 @t174)) % 0.22/0.56 (define @t176 () (lambda @t12 (forall @t33 (or @t87 @t154 @t152)))) % 0.22/0.56 (define @t177 () (_ @t176 @t23)) % 0.22/0.56 (define @t178 () (not @t177)) % 0.22/0.56 (define @t179 () (or @t178 @t93)) % 0.22/0.56 (define @t180 () (lambda @t94 @t179)) % 0.22/0.56 (define @t181 () (_ @t1 @t29)) % 0.22/0.56 (define @t182 () (or @t87 @t154 @t181)) % 0.22/0.56 (define @t183 () (or @t154 @t181)) % 0.22/0.56 (define @t184 () (_ @t1 @t23)) % 0.22/0.56 (define @t185 () (not @t166)) % 0.22/0.56 (define @t186 () (or @t185 @t184)) % 0.22/0.56 (define @t187 () (lambda @t81 @t186)) % 0.22/0.56 (define @t188 () (or @t87 (_ @t187 @t29))) % 0.22/0.56 (define @t189 () (forall @t33 @t188)) % 0.22/0.56 (define @t190 () (lambda @t12 @t189)) % 0.22/0.56 (define @t191 () (not @t173)) % 0.22/0.56 (define @t192 () (or @t191 @t93)) % 0.22/0.56 (define @t193 () (lambda @t94 @t192)) % 0.22/0.56 (define @t194 () (_ @t97 @t1)) % 0.22/0.56 (define @t195 () (not @t148)) % 0.22/0.56 (define @t196 () (or @t195 @t134 @t133)) % 0.22/0.56 (assume @p1 @t5) % 0.22/0.56 (assume @p2 @t10) % 0.22/0.56 (assume @p3 true) % 0.22/0.56 (step @p4 (= tptp.mfalse @t13) :rule refl :args (@t13)) % 0.22/0.56 (step @p5 (= tptp.mtrue @t14) :rule refl :args (@t14)) % 0.22/0.56 (step @p6 (= tptp.mnot @t17) :rule refl :args (@t17)) % 0.22/0.56 (step @p7 (= tptp.mor @t21) :rule refl :args (@t21)) % 0.22/0.56 (step @p8 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.22/0.56 (step @p9 (= tptp.mimpl @t27) :rule refl :args (@t27)) % 0.22/0.56 (step @p10 (= tptp.miff @t28) :rule refl :args (@t28)) % 0.22/0.56 (step @p11 (= tptp.mbox @t36) :rule refl :args (@t36)) % 0.22/0.56 (step @p12 (= tptp.mdia @t37) :rule refl :args (@t37)) % 0.22/0.56 (step @p13 (= tptp.mall @t44) :rule refl :args (@t44)) % 0.22/0.56 (step @p14 (= tptp.mexists @t45) :rule refl :args (@t45)) % 0.22/0.56 (step @p15 (= tptp.mvalid @t49) :rule refl :args (@t49)) % 0.22/0.56 (step @p16 (= tptp.msatisfiable @t50) :rule refl :args (@t50)) % 0.22/0.56 (step @p17 (= tptp.mcountersatisfiable @t52) :rule refl :args (@t52)) % 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nary_cong :premises (@p61 @p225 @p224) :args (@t182)) % 0.22/0.56 (step @p227 :rule cong :premises (@p226) :args ((forall @t33 @t182))) % 0.22/0.56 (step @p228 :rule aci_norm :args ((= (or @t87 @t183) @t182))) % 0.22/0.56 (step @p229 :rule beta-reduce :args ((= (_ (lambda @t81 (or (not (forall @t147 (or (not (tptp.r @t23 @t145)) @t153))) @t184)) @t29) @t183))) % 0.22/0.56 (step @p230 :rule refl :args (@t184)) % 0.22/0.56 (step @p231 :rule alpha_equiv :args (@t166 @t74 (@list @t145))) % 0.22/0.56 (step @p232 :rule cong :premises (@p231) :args (@t185)) % 0.22/0.56 (step @p233 :rule nary_cong :premises (@p232 @p230) :args (@t186)) % 0.22/0.56 (step @p234 :rule cong :premises (@p233) :args (@t187)) % 0.22/0.56 (step @p235 :rule ho_cong :premises (@p234 @p66)) % 0.22/0.56 (step @p236 :rule trans :premises (@p235 @p229)) % 0.22/0.56 (step @p237 :rule nary_cong :premises (@p74 @p236) :args (@t188)) % 0.22/0.56 (step @p238 :rule trans :premises (@p237 @p228)) % 0.22/0.56 (step @p239 :rule cong :premises (@p238) :args (@t189)) % 0.22/0.56 (step @p240 :rule trans :premises (@p239 @p227)) % 0.22/0.56 (step @p241 :rule cong :premises (@p240) :args (@t190)) % 0.22/0.56 (step @p242 :rule beta-reduce :args ((= (_ @t95 @t187) @t190))) % 0.22/0.56 (step @p243 :rule trans :premises (@p242 @p241)) % 0.22/0.56 (step @p244 :rule beta-reduce :args ((= (_ (lambda @t94 (or @t185 @t93)) @t1) @t187))) % 0.22/0.56 (step @p245 :rule cong :premises (@p204) :args (@t191)) % 0.22/0.56 (step @p246 :rule nary_cong :premises (@p245 @p48) :args (@t192)) % 0.22/0.56 (step @p247 :rule cong :premises (@p246) :args (@t193)) % 0.22/0.56 (step @p248 :rule beta-reduce :args ((= (_ @t104 @t172) @t193))) % 0.22/0.56 (step @p249 :rule trans :premises (@p248 @p247)) % 0.22/0.56 (step @p250 :rule ho_cong :premises (@p88 @p213)) % 0.22/0.56 (step @p251 :rule trans :premises (@p250 @p249)) % 0.22/0.56 (step @p252 :rule ho_cong :premises (@p251 @p211)) % 0.22/0.56 (step @p253 :rule trans :premises (@p252 @p244)) % 0.22/0.56 (step @p254 :rule ho_cong :premises (@p45 @p253)) % 0.22/0.56 (step @p255 :rule trans :premises (@p254 @p243)) % 0.22/0.56 (step @p256 :rule ho_cong :premises (@p88 @p255)) % 0.22/0.56 (step @p257 :rule trans :premises (@p256 @p219)) % 0.22/0.56 (step @p258 :rule ho_cong :premises (@p257 @p213)) % 0.22/0.56 (step @p259 :rule trans :premises (@p258 @p209)) % 0.22/0.56 (step @p260 :rule ho_cong :premises (@p99 @p259)) % 0.22/0.56 (step @p261 :rule trans :premises (@p260 @p203)) % 0.22/0.56 (step @p262 :rule cong :premises (@p261) :args ((forall @t4 (_ @t86 (_ (_ @t104 (_ @t97 (_ (_ @t104 @t194) @t1))) @t194))))) % 0.22/0.56 (step @p263 :rule trans :premises (@p262 @p186)) % 0.22/0.56 (step @p264 :rule ho_cong :premises (@p119 @p211)) % 0.22/0.56 (step @p265 :rule ho_cong :premises (@p146 @p264)) % 0.22/0.56 (step @p266 :rule ho_cong :premises (@p265 @p211)) % 0.22/0.56 (step @p267 :rule ho_cong :premises (@p119 @p266)) % 0.22/0.56 (step @p268 :rule ho_cong :premises (@p146 @p267)) % 0.22/0.56 (step @p269 :rule ho_cong :premises (@p268 @p264)) % 0.22/0.56 (step @p270 :rule ho_cong :premises (@p159 @p269)) % 0.22/0.56 (step @p271 :rule cong :premises (@p270) :args (@t5)) % 0.22/0.56 (step @p272 :rule trans :premises (@p271 @p263)) % 0.22/0.56 (step @p273 :rule eq_resolve :premises (@p1 @p272)) % 0.22/0.56 (step @p274 :rule instantiate :premises (@p273) :args ((@list @t132 @t130 @t129))) % 0.22/0.56 (step @p275 :rule cnf_or_pos :args (@t196)) % 0.22/0.56 (step @p276 :rule reordering :premises (@p275) :args ((or @t134 @t133 @t195 (not @t196)))) % 0.22/0.56 (step @p277 false :rule chain_m_resolution :premises (@p276 @p274 @p185 @p174 @p172) :args (false (@list false false true false) (@list @t196 @t148 @t133 @t131))) % 0.22/0.56 ) % 0.22/0.56 % SZS output end Proof % 0.22/0.56 % cvc5 exiting %------------------------------------------------------------------------------