%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM462+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:39:29 AM UTC 2026 % Result : Theorem 1.33s 1.51s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM462+2 : TPTP v9.2.1. Released v4.0.0. % 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 : n003.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:21:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.33/1.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.33/1.51 % SZS status Theorem % 1.33/1.51 % SZS output start Proof % 1.33/1.51 ( % 1.33/1.51 (declare-sort $$unsorted 0) % 1.33/1.51 (declare-const tptp.xm $$unsorted) % 1.33/1.51 (declare-const tptp.xl $$unsorted) % 1.33/1.51 (declare-const tptp.xn $$unsorted) % 1.33/1.51 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.51 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.51 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.33/1.51 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.51 (declare-const tptp.sz10 $$unsorted) % 1.33/1.51 (declare-const tptp.sz00 $$unsorted) % 1.33/1.51 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 1.33/1.51 (define @t1 () (@var "W0" $$unsorted)) % 1.33/1.51 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 1.33/1.51 (define @t3 () (@list @t1)) % 1.33/1.51 (define @t4 () (@var "W1" $$unsorted)) % 1.33/1.51 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 1.33/1.51 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 1.33/1.51 (define @t7 () (and @t2 @t6)) % 1.33/1.51 (define @t8 () (@list @t1 @t4)) % 1.33/1.51 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 1.33/1.51 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 1.33/1.51 (define @t11 () (forall @t8 (=> @t7 @t10))) % 1.33/1.51 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 1.33/1.51 (define @t13 () (@var "W2" $$unsorted)) % 1.33/1.51 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 1.33/1.51 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 1.33/1.51 (define @t16 () (and @t2 @t6 @t15)) % 1.33/1.51 (define @t17 () (@list @t1 @t4 @t13)) % 1.33/1.51 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 1.33/1.51 (define @t19 () (= @t9 @t18)) % 1.33/1.51 (define @t20 () (forall @t8 (=> @t7 @t19))) % 1.33/1.51 (define @t21 () (tptp.sdtasdt0 @t13 @t1)) % 1.33/1.51 (define @t22 () (tptp.sdtasdt0 @t1 @t13)) % 1.33/1.51 (define @t23 () (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t22)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t21)))) % 1.33/1.51 (define @t24 () (forall @t17 (=> @t16 @t23))) % 1.33/1.51 (define @t25 () (= @t4 @t13)) % 1.33/1.51 (define @t26 () (tptp.sdtpldt0 @t13 @t1)) % 1.33/1.51 (define @t27 () (tptp.sdtpldt0 @t1 @t13)) % 1.33/1.51 (define @t28 () (= @t18 @t21)) % 1.33/1.51 (define @t29 () (= @t9 @t22)) % 1.33/1.51 (define @t30 () (or @t29 @t28)) % 1.33/1.51 (define @t31 () (=> @t30 @t25)) % 1.33/1.51 (define @t32 () (and @t6 @t15)) % 1.33/1.51 (define @t33 () (@list @t4 @t13)) % 1.33/1.51 (define @t34 () (forall @t33 (=> @t32 @t31))) % 1.33/1.51 (define @t35 () (= @t1 tptp.sz00)) % 1.33/1.51 (define @t36 () (not @t35)) % 1.33/1.51 (define @t37 () (=> @t36 @t34)) % 1.33/1.51 (define @t38 () (=> @t2 @t37)) % 1.33/1.51 (define @t39 () (forall @t3 @t38)) % 1.33/1.51 (define @t40 () (= @t4 tptp.sz00)) % 1.33/1.51 (define @t41 () (and @t15 (= @t27 @t4))) % 1.33/1.51 (define @t42 () (@list @t13)) % 1.33/1.51 (define @t43 () (exists @t42 @t41)) % 1.33/1.51 (define @t44 () (tptp.sdtlseqdt0 @t1 @t4)) % 1.33/1.51 (define @t45 () (= @t44 @t43)) % 1.33/1.51 (define @t46 () (=> @t7 @t45)) % 1.33/1.51 (define @t47 () (forall @t8 @t46)) % 1.33/1.51 (define @t48 () (= @t1 @t4)) % 1.33/1.51 (define @t49 () (tptp.sdtlseqdt0 @t4 @t1)) % 1.33/1.51 (define @t50 () (tptp.sdtpldt0 @t13 @t4)) % 1.33/1.51 (define @t51 () (tptp.aNaturalNumber0 tptp.xn)) % 1.33/1.51 (define @t52 () (tptp.aNaturalNumber0 tptp.xl)) % 1.33/1.51 (define @t53 () (tptp.aNaturalNumber0 tptp.xm)) % 1.33/1.51 (define @t54 () (tptp.sdtpldt0 tptp.xl @t1)) % 1.33/1.51 (define @t55 () (and @t2 (= @t54 tptp.xn))) % 1.33/1.51 (define @t56 () (exists @t3 @t55)) % 1.33/1.51 (define @t57 () (= tptp.xl tptp.xn)) % 1.33/1.51 (define @t58 () (= tptp.xm tptp.sz00)) % 1.33/1.51 (define @t59 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 1.33/1.51 (define @t60 () (tptp.sdtasdt0 tptp.xl tptp.xm)) % 1.33/1.51 (define @t61 () (tptp.sdtlseqdt0 @t60 @t59)) % 1.33/1.51 (define @t62 () (tptp.sdtpldt0 @t60 @t1)) % 1.33/1.51 (define @t63 () (and @t2 (= @t62 @t59))) % 1.33/1.51 (define @t64 () (exists @t3 @t63)) % 1.33/1.51 (define @t65 () (or @t64 @t61)) % 1.33/1.51 (define @t66 () (not (= @t60 @t59))) % 1.33/1.51 (define @t67 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 1.33/1.51 (define @t68 () (tptp.sdtasdt0 tptp.xm tptp.xl)) % 1.33/1.51 (define @t69 () (tptp.sdtlseqdt0 @t68 @t67)) % 1.33/1.51 (define @t70 () (tptp.sdtpldt0 @t68 @t1)) % 1.33/1.51 (define @t71 () (and @t2 (= @t70 @t67))) % 1.33/1.51 (define @t72 () (exists @t3 @t71)) % 1.33/1.51 (define @t73 () (or @t72 @t69)) % 1.33/1.51 (define @t74 () (not (= @t68 @t67))) % 1.33/1.51 (define @t75 () (and @t74 @t73 @t66 @t65)) % 1.33/1.51 (define @t76 () (not @t75)) % 1.33/1.51 (define @t77 () (not @t6)) % 1.33/1.51 (define @t78 () (not @t2)) % 1.33/1.51 (define @t79 () (or @t78 @t77 @t19)) % 1.33/1.51 (define @t80 () (or @t78 @t77)) % 1.33/1.51 (define @t81 () (not @t7)) % 1.33/1.51 (define @t82 () (not @t52)) % 1.33/1.51 (define @t83 () (not @t53)) % 1.33/1.51 (define @t84 () (or @t83 @t82 (= @t68 @t60))) % 1.33/1.51 (define @t85 () (forall @t8 @t79)) % 1.33/1.51 (define @t86 () (@list tptp.xm tptp.xl)) % 1.33/1.51 (define @t87 () (= @t60 @t68)) % 1.33/1.51 (define @t88 () (or @t83 @t82 @t87)) % 1.33/1.51 (define @t89 () (@list false)) % 1.33/1.51 (define @t90 () (@list @t85)) % 1.33/1.51 (define @t91 () (@list false false false)) % 1.33/1.51 (define @t92 () (not @t51)) % 1.33/1.51 (define @t93 () (or @t83 @t92 (= @t67 @t59))) % 1.33/1.51 (define @t94 () (@list tptp.xm tptp.xn)) % 1.33/1.51 (define @t95 () (= @t59 @t67)) % 1.33/1.51 (define @t96 () (or @t83 @t92 @t95)) % 1.33/1.51 (define @t97 () (= tptp.xn @t54)) % 1.33/1.51 (define @t98 () (@quantifiers_skolemize (forall @t3 (or @t78 (not @t97))) 0)) % 1.33/1.51 (define @t99 () (tptp.sdtasdt0 @t98 tptp.xm)) % 1.33/1.51 (define @t100 () (tptp.sdtpldt0 @t60 @t99)) % 1.33/1.51 (define @t101 () (not @t15)) % 1.33/1.51 (define @t102 () (or @t78 @t77 @t101)) % 1.33/1.51 (define @t103 () (or @t77 @t101)) % 1.33/1.51 (define @t104 () (not @t32)) % 1.33/1.51 (define @t105 () (and @t2 @t97)) % 1.33/1.51 (define @t106 () (forall @t3 (not @t105))) % 1.33/1.51 (define @t107 () (not @t106)) % 1.33/1.51 (define @t108 () (tptp.aNaturalNumber0 @t98)) % 1.33/1.51 (define @t109 () (tptp.sdtpldt0 tptp.xl @t98)) % 1.33/1.51 (define @t110 () (= tptp.xn @t109)) % 1.33/1.51 (define @t111 () (not @t110)) % 1.33/1.51 (define @t112 () (not @t108)) % 1.33/1.51 (define @t113 () (or @t112 @t111)) % 1.33/1.51 (define @t114 () (@list true)) % 1.33/1.51 (define @t115 () (@list @t113)) % 1.33/1.51 (define @t116 () (= (tptp.sdtasdt0 @t109 tptp.xm) @t100)) % 1.33/1.51 (define @t117 () (and (= (tptp.sdtasdt0 tptp.xm @t109) (tptp.sdtpldt0 @t68 (tptp.sdtasdt0 tptp.xm @t98))) @t116)) % 1.33/1.51 (define @t118 () (or @t83 @t82 @t112 @t117)) % 1.33/1.51 (define @t119 () (tptp.aNaturalNumber0 @t99)) % 1.33/1.51 (define @t120 () (or @t112 @t83 @t119)) % 1.33/1.51 (define @t121 () (= @t67 (tptp.sdtpldt0 @t68 @t99))) % 1.33/1.51 (define @t122 () (not @t121)) % 1.33/1.51 (define @t123 () (not @t119)) % 1.33/1.51 (define @t124 () (or @t123 @t122)) % 1.33/1.51 (define @t125 () (not @t124)) % 1.33/1.51 (define @t126 () (= @t67 @t70)) % 1.33/1.51 (define @t127 () (forall @t3 (or @t78 (not @t126)))) % 1.33/1.51 (define @t128 () (not @t127)) % 1.33/1.51 (define @t129 () (= @t67 @t68)) % 1.33/1.51 (define @t130 () (not @t129)) % 1.33/1.51 (define @t131 () (not @t95)) % 1.33/1.51 (define @t132 () (not @t87)) % 1.33/1.51 (define @t133 () (= @t59 @t60)) % 1.33/1.51 (define @t134 () (not @t133)) % 1.33/1.51 (define @t135 () (not @t134)) % 1.33/1.51 (define @t136 () (and @t134 @t87 @t95)) % 1.33/1.51 (define @t137 () (or @t128 @t69)) % 1.33/1.51 (define @t138 () (= @t59 @t62)) % 1.33/1.51 (define @t139 () (or (not (forall @t3 (or @t78 (not @t138)))) @t61)) % 1.33/1.51 (define @t140 () (not @t139)) % 1.33/1.51 (define @t141 () (not @t137)) % 1.33/1.51 (define @t142 () (not @t130)) % 1.33/1.51 (define @t143 () (and @t2 @t138)) % 1.33/1.51 (define @t144 () (forall @t3 (not @t143))) % 1.33/1.51 (define @t145 () (not @t144)) % 1.33/1.51 (define @t146 () (and @t2 @t126)) % 1.33/1.51 (define @t147 () (forall @t3 (not @t146))) % 1.33/1.51 (define @t148 () (not @t147)) % 1.33/1.51 (define @t149 () (= @t4 @t27)) % 1.33/1.51 (define @t150 () (= @t44 (not (forall @t42 (or @t101 (not @t149)))))) % 1.33/1.51 (define @t151 () (and @t15 @t149)) % 1.33/1.51 (define @t152 () (forall @t42 (not @t151))) % 1.33/1.51 (define @t153 () (not @t152)) % 1.33/1.51 (define @t154 () (tptp.aNaturalNumber0 @t67)) % 1.33/1.51 (define @t155 () (or @t83 @t92 @t154)) % 1.33/1.51 (define @t156 () (tptp.aNaturalNumber0 @t68)) % 1.33/1.51 (define @t157 () (or @t83 @t82 @t156)) % 1.33/1.51 (define @t158 () (forall @t42 (or @t101 (not (= @t67 (tptp.sdtpldt0 @t68 @t13)))))) % 1.33/1.51 (define @t159 () (not @t158)) % 1.33/1.51 (define @t160 () (= @t69 @t159)) % 1.33/1.51 (define @t161 () (not @t154)) % 1.33/1.51 (define @t162 () (not @t156)) % 1.33/1.51 (define @t163 () (or @t162 @t161 @t160)) % 1.33/1.51 (define @t164 () (not @t160)) % 1.33/1.51 (define @t165 () (and @t69 @t87 @t95)) % 1.33/1.51 (define @t166 () (and @t130 @t87 @t95)) % 1.33/1.51 (define @t167 () (and @t130 @t134)) % 1.33/1.51 (define @t168 () (not @t167)) % 1.33/1.51 (define @t169 () (@var "BOUND_VARIABLE_7702" $$unsorted)) % 1.33/1.51 (define @t170 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 1.33/1.51 (define @t171 () (= @t170 @t169)) % 1.33/1.51 (define @t172 () (and (not (= (tptp.sdtasdt0 @t1 @t170) (tptp.sdtasdt0 @t1 @t169))) (not (= (tptp.sdtasdt0 @t170 @t1) (tptp.sdtasdt0 @t169 @t1))))) % 1.33/1.51 (define @t173 () (not (tptp.aNaturalNumber0 @t169))) % 1.33/1.51 (define @t174 () (not (tptp.aNaturalNumber0 @t170))) % 1.33/1.51 (define @t175 () (or @t78 @t35 @t174 @t173 @t172 @t171)) % 1.33/1.51 (define @t176 () (or @t174 @t173 @t172 @t171)) % 1.33/1.51 (define @t177 () (or @t78 @t35 @t176)) % 1.33/1.51 (define @t178 () (@list @t1 @t170 @t169)) % 1.33/1.51 (define @t179 () (forall @t178 @t177)) % 1.33/1.51 (define @t180 () (@list @t170 @t169)) % 1.33/1.51 (define @t181 () (forall @t180 @t177)) % 1.33/1.51 (define @t182 () (forall @t180 @t176)) % 1.33/1.51 (define @t183 () (or @t78 @t35 @t182)) % 1.33/1.51 (define @t184 () (and (not @t29) (not @t28))) % 1.33/1.51 (define @t185 () (or @t77 @t101 @t184 @t25)) % 1.33/1.51 (define @t186 () (forall @t33 @t185)) % 1.33/1.51 (define @t187 () (or @t78 @t35 @t186)) % 1.33/1.51 (define @t188 () (=> @t36 @t186)) % 1.33/1.51 (define @t189 () (and @t74 @t66)) % 1.33/1.51 (define @t190 () (or @t83 @t58 @t82 @t92 @t189 @t57)) % 1.33/1.51 (define @t191 () (forall @t178 @t175)) % 1.33/1.51 (define @t192 () (= tptp.sz00 tptp.xm)) % 1.33/1.51 (define @t193 () (or @t83 @t192 @t82 @t92 @t167 @t57)) % 1.33/1.51 (assume @p1 (forall @t3 (=> @t2 true))) % 1.33/1.51 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 1.33/1.51 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 1.33/1.51 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 1.33/1.51 (assume @p5 @t11) % 1.33/1.51 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 1.33/1.51 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 1.33/1.51 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 1.33/1.51 (assume @p9 @t20) % 1.33/1.51 (assume @p10 (forall @t17 (=> @t16 (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 1.33/1.51 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 1.33/1.51 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 1.33/1.51 (assume @p13 @t24) % 1.33/1.51 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t27) (= @t12 @t26)) @t25)))) % 1.33/1.51 (assume @p15 @t39) % 1.33/1.51 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t35 @t40))))) % 1.33/1.51 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t35 @t40))))) % 1.33/1.51 (assume @p18 @t47) % 1.33/1.51 (assume @p19 (forall @t8 (=> @t7 (=> @t44 (forall @t42 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t41)))))) % 1.33/1.51 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.33/1.51 (assume @p21 (forall @t8 (=> @t7 (=> (and @t44 @t49) @t48)))) % 1.33/1.51 (assume @p22 (forall @t17 (=> @t16 (=> (and @t44 (tptp.sdtlseqdt0 @t4 @t13)) (tptp.sdtlseqdt0 @t1 @t13))))) % 1.33/1.51 (assume @p23 (forall @t8 (=> @t7 (or @t44 (and (not (= @t4 @t1)) @t49))))) % 1.33/1.51 (assume @p24 (forall @t8 (=> @t7 (=> (and (not @t48) @t44) (forall @t42 (=> @t15 (and (not (= @t26 @t50)) (tptp.sdtlseqdt0 @t26 @t50) (not (= @t27 @t14)) (tptp.sdtlseqdt0 @t27 @t14)))))))) % 1.33/1.51 (assume @p25 (and @t53 @t52 @t51)) % 1.33/1.51 (assume @p26 (and (not @t58) (not @t57) @t56 (tptp.sdtlseqdt0 tptp.xl tptp.xn))) % 1.33/1.51 (assume @p27 @t76) % 1.33/1.51 (assume @p28 true) % 1.33/1.51 (step @p29 :rule and_elim :premises (@p25) :args (0)) % 1.33/1.51 (step @p30 :rule and_elim :premises (@p25) :args (1)) % 1.33/1.51 (step @p31 :rule and_elim :premises (@p25) :args (2)) % 1.33/1.51 (step @p32 :rule and_elim :premises (@p26) :args (0)) % 1.33/1.51 (step @p33 :rule symm :premises (@p32)) % 1.33/1.51 (step @p34 :rule and_elim :premises (@p26) :args (1)) % 1.33/1.51 (step @p35 :rule aci_norm :args ((= (or @t80 @t19) @t79))) % 1.33/1.51 (step @p36 :rule refl :args (@t19)) % 1.33/1.51 (step @p37 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 1.33/1.51 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t81 @t19))) % 1.33/1.51 (step @p39 :rule trans :premises (@p38 @p35)) % 1.33/1.51 (step @p40 :rule bool-impl-elim :args (@t7 @t19)) % 1.33/1.51 (step @p41 :rule trans :premises (@p40 @p39)) % 1.33/1.51 (step @p42 :rule cong :premises (@p41) :args (@t20)) % 1.33/1.51 (step @p43 :rule eq_resolve :premises (@p9 @p42)) % 1.33/1.51 (step @p44 :rule eq-symm :args (@t68 @t60)) % 1.33/1.51 (step @p45 :rule refl :args (@t82)) % 1.33/1.51 (step @p46 :rule refl :args (@t83)) % 1.33/1.51 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t84)) % 1.33/1.51 (step @p48 :rule refl :args 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(@t94)) % 1.33/1.51 (step @p250 :rule cnf_or_pos :args (@t155)) % 1.33/1.51 (step @p251 :rule reordering :premises (@p250) :args ((or @t83 @t92 @t154 (not @t155)))) % 1.33/1.51 (step @p252 :rule chain_m_resolution :premises (@p251 @p29 @p31 @p249) :args (@t154 @t91 (@list @t53 @t51 @t155))) % 1.33/1.51 (step @p253 :rule instantiate :premises (@p135) :args (@t86)) % 1.33/1.51 (step @p254 :rule cnf_or_pos :args (@t157)) % 1.33/1.51 (step @p255 :rule reordering :premises (@p254) :args ((or @t83 @t82 @t156 (not @t157)))) % 1.33/1.51 (step @p256 :rule chain_m_resolution :premises (@p255 @p29 @p30 @p253) :args (@t156 @t91 (@list @t53 @t52 @t157))) % 1.33/1.51 (step @p257 :rule cnf_or_pos :args (@t163)) % 1.33/1.51 (step @p258 :rule reordering :premises (@p257) :args ((or @t162 @t161 @t160 (not @t163)))) % 1.33/1.51 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p252 @p248) :args (@t160 @t91 (@list @t156 @t154 @t163))) % 1.33/1.51 (step @p260 :rule bool-double-not-elim :args (@t158)) % 1.33/1.51 (step @p261 :rule refl :args (@t164)) % 1.33/1.51 (step @p262 :rule nary_cong :premises (@p261 @p205 @p260) :args ((or @t164 @t69 (not @t159)))) % 1.33/1.51 (step @p263 :rule cnf_equiv_pos2 :args (@t160)) % 1.33/1.51 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 1.33/1.51 (step @p265 :rule reordering :premises (@p264) :args ((or @t69 @t158 @t164))) % 1.33/1.51 (step @p266 :rule cnf_or_neg :args (@t139 1)) % 1.33/1.51 (assume-push @p399 @t69) % 1.33/1.51 (assume-push @p400 @t87) % 1.33/1.51 (assume-push @p401 @t95) % 1.33/1.51 (assume-push @p402 @t69) % 1.33/1.51 (assume-push @p403 @t87) % 1.33/1.51 (assume-push @p404 @t95) % 1.33/1.51 (step @p273 :rule true_intro :premises (@p399)) % 1.33/1.51 (step @p274 :rule cong :premises (@p59 @p73) :args (@t61)) % 1.33/1.51 (step @p275 :rule trans :premises (@p274 @p273)) % 1.33/1.51 (step @p276 :rule true_elim :premises (@p275)) % 1.33/1.51 (step-pop @p405 :rule scope :premises (@p276)) % 1.33/1.51 (step-pop @p406 :rule scope :premises (@p405)) % 1.33/1.51 (step-pop @p407 :rule scope :premises (@p406)) % 1.33/1.51 (step @p277 :rule process_scope :premises (@p407) :args (@t61)) % 1.33/1.51 (step @p281 :rule and_intro :premises (@p399 @p59 @p73)) % 1.33/1.51 (step @p282 :rule modus_ponens :premises (@p281 @p277)) % 1.33/1.51 (step-pop @p408 :rule scope :premises (@p282)) % 1.33/1.51 (step-pop @p409 :rule scope :premises (@p408)) % 1.33/1.51 (step-pop @p410 :rule scope :premises (@p409)) % 1.33/1.51 (step @p283 :rule process_scope :premises (@p410) :args (@t61)) % 1.33/1.51 (step @p287 :rule implies_elim :premises (@p283)) % 1.33/1.51 (step @p288 :rule cnf_and_neg :args (@t165)) % 1.33/1.51 (step @p289 :rule resolution :premises (@p288 @p287) :args (true @t165)) % 1.33/1.51 (step @p290 :rule reordering :premises (@p289) :args ((or @t61 (not @t69) @t132 @t131))) % 1.33/1.51 (step @p291 :rule chain_m_resolution :premises (@p290 @p73 @p59 @p266 @p265 @p259 @p223 @p187 @p185 @p179 @p58 @p30 @p55 @p72 @p29 @p31 @p69 @p43) :args ((or @t127 @t133) (@list false false true false false true true false true false false false false false false false false) (@list @t95 @t87 @t61 @t69 @t160 @t139 @t158 @t137 @t129 @t87 @t52 @t88 @t95 @t53 @t51 @t96 @t85))) % 1.33/1.51 (step @p292 :rule chain_m_resolution :premises (@p291 @p148) :args (@t133 @t114 (@list @t127))) % 1.33/1.51 (step @p293 :rule refl :args (@t134)) % 1.33/1.51 (step @p294 :rule nary_cong :premises (@p190 @p151 @p150 @p293) :args ((or @t142 @t132 @t131 @t134))) % 1.33/1.51 (assume-push @p411 @t130) % 1.33/1.51 (assume-push @p412 @t87) % 1.33/1.51 (assume-push @p413 @t95) % 1.33/1.51 (assume-push @p414 @t130) % 1.33/1.51 (assume-push @p415 @t95) % 1.33/1.51 (assume-push @p416 @t87) % 1.33/1.51 (step @p301 :rule false_intro :premises (@p411)) % 1.33/1.51 (step @p302 :rule cong :premises (@p73 @p59) :args (@t133)) % 1.33/1.51 (step @p303 :rule trans :premises (@p302 @p301)) % 1.33/1.51 (step @p304 :rule false_elim :premises (@p303)) % 1.33/1.51 (step-pop @p417 :rule scope :premises (@p304)) % 1.33/1.51 (step-pop @p418 :rule scope :premises (@p417)) % 1.33/1.51 (step-pop @p419 :rule scope :premises (@p418)) % 1.33/1.51 (step @p305 :rule process_scope :premises (@p419) :args (@t134)) % 1.33/1.51 (step @p309 :rule and_intro :premises (@p411 @p73 @p59)) % 1.33/1.51 (step @p310 :rule modus_ponens :premises (@p309 @p305)) % 1.33/1.51 (step-pop @p420 :rule scope :premises (@p310)) % 1.33/1.51 (step-pop @p421 :rule scope :premises (@p420)) % 1.33/1.51 (step-pop @p422 :rule scope :premises (@p421)) % 1.33/1.51 (step @p311 :rule process_scope :premises (@p422) :args (@t134)) % 1.33/1.51 (step @p315 :rule implies_elim :premises (@p311)) % 1.33/1.51 (step @p316 :rule cnf_and_neg :args (@t166)) % 1.33/1.51 (step @p317 :rule resolution :premises (@p316 @p315) :args (true @t166)) % 1.33/1.51 (step @p318 :rule eq_resolve :premises (@p317 @p294)) % 1.33/1.51 (step @p319 :rule reordering :premises (@p318) :args ((or @t129 @t134 @t132 @t131))) % 1.33/1.51 (step @p320 :rule chain_m_resolution :premises (@p319 @p292 @p73 @p59) :args (@t129 @t91 (@list @t133 @t95 @t87))) % 1.33/1.51 (step @p321 :rule cnf_and_pos :args (@t167 0)) % 1.33/1.51 (step @p322 :rule reordering :premises (@p321) :args ((or @t130 @t168))) % 1.33/1.51 (step @p323 :rule chain_m_resolution :premises (@p322 @p320) :args (@t168 @t89 (@list @t129))) % 1.33/1.51 (step @p324 :rule aci_norm :args ((= @t177 @t175))) % 1.33/1.51 (step @p325 :rule cong :premises (@p324) :args (@t179)) % 1.33/1.51 (step @p326 :rule quant-merge-prenex :args ((= (forall @t3 @t181) @t179))) % 1.33/1.51 (step @p327 :rule alpha_equiv :args (@t182 (@list @t170 @t169) (@list @t4 @t13))) % 1.33/1.51 (step @p328 :rule refl :args (@t35)) % 1.33/1.51 (step @p329 :rule nary_cong :premises (@p80 @p328 @p327) :args (@t183)) % 1.33/1.51 (step @p330 :rule quant-miniscope-or :args ((= @t181 @t183))) % 1.33/1.51 (step @p331 :rule trans :premises (@p330 @p329)) % 1.33/1.51 (step @p332 :rule symm :premises (@p331)) % 1.33/1.51 (step @p333 :rule cong :premises (@p332) :args ((forall @t3 @t187))) % 1.33/1.51 (step @p334 :rule trans :premises (@p333 @p326)) % 1.33/1.51 (step @p335 :rule trans :premises (@p334 @p325)) % 1.33/1.51 (step @p336 :rule aci_norm :args ((= (or @t78 (or @t35 @t186)) @t187))) % 1.33/1.51 (step @p337 :rule refl :args (@t186)) % 1.33/1.51 (step @p338 :rule bool-double-not-elim :args (@t35)) % 1.33/1.51 (step @p339 :rule nary_cong :premises (@p338 @p337) :args ((or (not @t36) @t186))) % 1.33/1.51 (step @p340 :rule bool-impl-elim :args (@t36 @t186)) % 1.33/1.51 (step @p341 :rule trans :premises (@p340 @p339)) % 1.33/1.51 (step @p342 :rule nary_cong :premises (@p80 @p341) :args ((or @t78 @t188))) % 1.33/1.51 (step @p343 :rule trans :premises (@p342 @p336)) % 1.33/1.51 (step @p344 :rule bool-impl-elim :args (@t2 @t188)) % 1.33/1.51 (step @p345 :rule trans :premises (@p344 @p343)) % 1.33/1.51 (step @p346 :rule cong :premises (@p345) :args ((forall @t3 (=> @t2 @t188)))) % 1.33/1.52 (step @p347 :rule trans :premises (@p346 @p335)) % 1.33/1.52 (step @p348 :rule aci_norm :args ((= (or @t103 (or @t184 @t25)) @t185))) % 1.33/1.52 (step @p349 :rule refl :args (@t25)) % 1.33/1.52 (step @p350 :rule bool-or-de-morgan :args (@t29 @t28 false)) % 1.33/1.52 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or (not @t30) @t25))) % 1.33/1.52 (step @p352 :rule bool-impl-elim :args (@t30 @t25)) % 1.33/1.52 (step @p353 :rule trans :premises (@p352 @p351)) % 1.33/1.52 (step @p354 :rule nary_cong :premises (@p79 @p353) :args ((or @t104 @t31))) % 1.33/1.52 (step @p355 :rule trans :premises (@p354 @p348)) % 1.33/1.52 (step @p356 :rule bool-impl-elim :args (@t32 @t31)) % 1.33/1.52 (step @p357 :rule trans :premises (@p356 @p355)) % 1.33/1.52 (step @p358 :rule cong :premises (@p357) :args (@t34)) % 1.33/1.52 (step @p359 :rule refl :args (@t36)) % 1.33/1.52 (step @p360 :rule cong :premises (@p359 @p358) :args (@t37)) % 1.33/1.52 (step @p361 :rule cong :premises (@p98 @p360) :args (@t38)) % 1.33/1.52 (step @p362 :rule cong :premises (@p361) :args (@t39)) % 1.33/1.52 (step @p363 :rule trans :premises (@p362 @p347)) % 1.33/1.52 (step @p364 :rule eq_resolve :premises (@p15 @p363)) % 1.33/1.52 (step @p365 :rule refl :args (@t57)) % 1.33/1.52 (step @p366 :rule nary_cong :premises (@p217 @p204) :args (@t189)) % 1.33/1.52 (step @p367 :rule eq-symm :args (tptp.xm tptp.sz00)) % 1.33/1.52 (step @p368 :rule nary_cong :premises (@p46 @p367 @p45 @p61 @p366 @p365) :args (@t190)) % 1.33/1.52 (step @p369 :rule refl :args (@t191)) % 1.33/1.52 (step @p370 :rule cong :premises (@p369 @p368) :args ((=> @t191 @t190))) % 1.33/1.52 (assume-push @p423 @t191) % 1.33/1.52 (step @p372 :rule instantiate :premises (@p364) :args ((@list tptp.xm tptp.xl tptp.xn))) % 1.33/1.52 (step-pop @p424 :rule scope :premises (@p372)) % 1.33/1.52 (step @p373 :rule process_scope :premises (@p424) :args (@t190)) % 1.33/1.52 (step @p375 :rule eq_resolve :premises (@p373 @p370)) % 1.33/1.52 (step @p376 :rule implies_elim :premises (@p375)) % 1.33/1.52 (step @p377 :rule chain_m_resolution :premises (@p376 @p364) :args (@t193 @t89 (@list @t191))) % 1.33/1.52 (step @p378 :rule cnf_or_pos :args (@t193)) % 1.33/1.52 (step @p379 :rule reordering :premises (@p378) :args ((or @t57 @t192 @t83 @t82 @t92 @t167 (not @t193)))) % 1.33/1.52 (step @p380 false :rule chain_m_resolution :premises (@p379 @p377 @p323 @p34 @p33 @p31 @p30 @p29) :args (false (@list false true true true false false false) (@list @t193 @t167 @t57 @t192 @t51 @t52 @t53))) % 1.33/1.52 ) % 1.33/1.52 % SZS output end Proof % 1.33/1.52 % cvc5 exiting %------------------------------------------------------------------------------