%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM501+3 : 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 : n021.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 08:39:38 AM UTC 2026 % Result : Theorem 36.34s 36.55s % Output : Proof 36.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM501+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n021.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 11:26:05 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 36.34/36.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.34/36.55 --- Run --no-e-matching --full-saturate-quant at 6... % 36.34/36.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.34/36.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.34/36.55 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.34/36.55 % SZS status Theorem % 36.34/36.55 % SZS output start Proof % 36.34/36.55 ( % 36.34/36.55 (declare-sort $$unsorted 0) % 36.34/36.55 (declare-const tptp.xr $$unsorted) % 36.34/36.55 (declare-const tptp.xk $$unsorted) % 36.34/36.55 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 36.34/36.55 (declare-const tptp.xm $$unsorted) % 36.34/36.55 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.34/36.55 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 36.34/36.55 (declare-const tptp.xn $$unsorted) % 36.34/36.55 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 36.34/36.55 (declare-const tptp.sz00 $$unsorted) % 36.34/36.55 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.34/36.55 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.34/36.55 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.34/36.55 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 36.34/36.55 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 36.34/36.55 (declare-const tptp.sz10 $$unsorted) % 36.34/36.55 (declare-const tptp.xp $$unsorted) % 36.34/36.55 (define @t1 () (@var "W0" $$unsorted)) % 36.34/36.55 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 36.34/36.55 (define @t3 () (@list @t1)) % 36.34/36.55 (define @t4 () (@var "W1" $$unsorted)) % 36.34/36.55 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 36.34/36.55 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 36.34/36.55 (define @t7 () (and @t2 @t6)) % 36.34/36.55 (define @t8 () (@list @t1 @t4)) % 36.34/36.55 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 36.34/36.55 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 36.34/36.55 (define @t11 () (forall @t8 (=> @t7 @t10))) % 36.34/36.55 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 36.34/36.55 (define @t13 () (@var "W2" $$unsorted)) % 36.34/36.55 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 36.34/36.55 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 36.34/36.55 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 36.34/36.55 (define @t17 () (and @t2 @t6 @t16)) % 36.34/36.55 (define @t18 () (@list @t1 @t4 @t13)) % 36.34/36.55 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 36.34/36.55 (define @t20 () (= @t9 @t19)) % 36.34/36.55 (define @t21 () (forall @t8 (=> @t7 @t20))) % 36.34/36.55 (define @t22 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 36.34/36.55 (define @t23 () (forall @t18 (=> @t17 @t22))) % 36.34/36.55 (define @t24 () (tptp.sdtasdt0 @t13 @t1)) % 36.34/36.55 (define @t25 () (tptp.sdtasdt0 @t1 @t13)) % 36.34/36.55 (define @t26 () (= @t4 @t13)) % 36.34/36.55 (define @t27 () (tptp.sdtpldt0 @t13 @t1)) % 36.34/36.55 (define @t28 () (tptp.sdtpldt0 @t1 @t13)) % 36.34/36.55 (define @t29 () (= @t19 @t24)) % 36.34/36.55 (define @t30 () (= @t9 @t25)) % 36.34/36.55 (define @t31 () (or @t30 @t29)) % 36.34/36.55 (define @t32 () (=> @t31 @t26)) % 36.34/36.55 (define @t33 () (and @t6 @t16)) % 36.34/36.55 (define @t34 () (@list @t4 @t13)) % 36.34/36.55 (define @t35 () (forall @t34 (=> @t33 @t32))) % 36.34/36.55 (define @t36 () (= @t1 tptp.sz00)) % 36.34/36.55 (define @t37 () (not @t36)) % 36.34/36.55 (define @t38 () (=> @t37 @t35)) % 36.34/36.55 (define @t39 () (=> @t2 @t38)) % 36.34/36.55 (define @t40 () (forall @t3 @t39)) % 36.34/36.55 (define @t41 () (= @t4 tptp.sz00)) % 36.34/36.55 (define @t42 () (and @t16 (= @t28 @t4))) % 36.34/36.55 (define @t43 () (@list @t13)) % 36.34/36.55 (define @t44 () (tptp.sdtlseqdt0 @t1 @t4)) % 36.34/36.55 (define @t45 () (= @t1 @t4)) % 36.34/36.55 (define @t46 () (tptp.sdtlseqdt0 @t4 @t1)) % 36.34/36.55 (define @t47 () (tptp.sdtlseqdt0 @t4 @t13)) % 36.34/36.55 (define @t48 () (= @t4 @t1)) % 36.34/36.55 (define @t49 () (tptp.sdtpldt0 @t13 @t4)) % 36.34/36.55 (define @t50 () (and (not @t45) @t44)) % 36.34/36.55 (define @t51 () (not @t29)) % 36.34/36.55 (define @t52 () (not @t30)) % 36.34/36.55 (define @t53 () (= @t1 tptp.sz10)) % 36.34/36.55 (define @t54 () (tptp.iLess0 @t1 @t4)) % 36.34/36.55 (define @t55 () (and @t16 (= @t4 @t25))) % 36.34/36.55 (define @t56 () (tptp.doDivides0 @t1 @t4)) % 36.34/36.55 (define @t57 () (tptp.sdtsldt0 @t4 @t1)) % 36.34/36.55 (define @t58 () (and @t37 @t56)) % 36.34/36.55 (define @t59 () (tptp.doDivides0 @t1 @t13)) % 36.34/36.55 (define @t60 () (tptp.doDivides0 @t1 @t14)) % 36.34/36.55 (define @t61 () (tptp.doDivides0 @t4 @t1)) % 36.34/36.55 (define @t62 () (@list @t4)) % 36.34/36.55 (define @t63 () (not @t53)) % 36.34/36.55 (define @t64 () (tptp.aNaturalNumber0 tptp.xp)) % 36.34/36.55 (define @t65 () (@var "W3" $$unsorted)) % 36.34/36.55 (define @t66 () (tptp.sdtasdt0 @t13 @t65)) % 36.34/36.55 (define @t67 () (tptp.aNaturalNumber0 @t65)) % 36.34/36.55 (define @t68 () (@list @t65)) % 36.34/36.55 (define @t69 () (@var "W4" $$unsorted)) % 36.34/36.55 (define @t70 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 36.34/36.55 (define @t71 () (= @t70 (tptp.sdtasdt0 tptp.xp @t1))) % 36.34/36.55 (define @t72 () (and @t2 @t71)) % 36.34/36.55 (define @t73 () (exists @t3 @t72)) % 36.34/36.55 (define @t74 () (= tptp.xp tptp.sz00)) % 36.34/36.55 (define @t75 () (tptp.sdtpldt0 tptp.xp @t1)) % 36.34/36.55 (define @t76 () (tptp.sdtsldt0 @t70 tptp.xp)) % 36.34/36.55 (define @t77 () (tptp.sdtasdt0 tptp.xp tptp.xk)) % 36.34/36.55 (define @t78 () (= @t70 @t77)) % 36.34/36.55 (define @t79 () (tptp.aNaturalNumber0 tptp.xk)) % 36.34/36.55 (define @t80 () (= tptp.xk tptp.sz10)) % 36.34/36.55 (define @t81 () (= tptp.xk tptp.sz00)) % 36.34/36.55 (define @t82 () (tptp.sdtasdt0 tptp.xr @t1)) % 36.34/36.55 (define @t83 () (= tptp.xk @t82)) % 36.34/36.55 (define @t84 () (and @t2 @t83)) % 36.34/36.55 (define @t85 () (exists @t3 @t84)) % 36.34/36.55 (define @t86 () (tptp.aNaturalNumber0 tptp.xr)) % 36.34/36.55 (define @t87 () (tptp.doDivides0 tptp.xr @t70)) % 36.34/36.55 (define @t88 () (= @t70 @t82)) % 36.34/36.55 (define @t89 () (and @t2 @t88)) % 36.34/36.55 (define @t90 () (exists @t3 @t89)) % 36.34/36.55 (define @t91 () (or @t90 @t87)) % 36.34/36.55 (define @t92 () (not @t91)) % 36.34/36.55 (define @t93 () (not @t83)) % 36.34/36.55 (define @t94 () (not @t2)) % 36.34/36.55 (define @t95 () (or @t94 @t93)) % 36.34/36.55 (define @t96 () (forall @t3 @t95)) % 36.34/36.55 (define @t97 () (forall @t3 (not @t84))) % 36.34/36.55 (define @t98 () (not @t97)) % 36.34/36.55 (define @t99 () (@quantifiers_skolemize (forall @t3 (or @t94 (not (= @t76 @t82)))) 0)) % 36.34/36.55 (define @t100 () (tptp.sdtasdt0 tptp.xr @t99)) % 36.34/36.55 (define @t101 () (= @t76 @t100)) % 36.34/36.55 (define @t102 () (not @t101)) % 36.34/36.55 (define @t103 () (tptp.aNaturalNumber0 @t99)) % 36.34/36.55 (define @t104 () (not @t103)) % 36.34/36.55 (define @t105 () (or @t104 @t102)) % 36.34/36.55 (define @t106 () (@list true)) % 36.34/36.55 (define @t107 () (@list @t105)) % 36.34/36.55 (define @t108 () (@var "BOUND_VARIABLE_7923" $$unsorted)) % 36.34/36.55 (define @t109 () (@var "BOUND_VARIABLE_7921" $$unsorted)) % 36.34/36.55 (define @t110 () (= @t109 @t108)) % 36.34/36.55 (define @t111 () (and (not (= (tptp.sdtasdt0 @t1 @t109) (tptp.sdtasdt0 @t1 @t108))) (not (= (tptp.sdtasdt0 @t109 @t1) (tptp.sdtasdt0 @t108 @t1))))) % 36.34/36.55 (define @t112 () (not (tptp.aNaturalNumber0 @t108))) % 36.34/36.55 (define @t113 () (not (tptp.aNaturalNumber0 @t109))) % 36.34/36.55 (define @t114 () (or @t94 @t36 @t113 @t112 @t111 @t110)) % 36.34/36.55 (define @t115 () (or @t113 @t112 @t111 @t110)) % 36.34/36.55 (define @t116 () (or @t94 @t36 @t115)) % 36.34/36.55 (define @t117 () (@list @t1 @t109 @t108)) % 36.34/36.55 (define @t118 () (forall @t117 @t116)) % 36.34/36.55 (define @t119 () (@list @t109 @t108)) % 36.34/36.55 (define @t120 () (forall @t119 @t116)) % 36.34/36.55 (define @t121 () (forall @t119 @t115)) % 36.34/36.55 (define @t122 () (or @t94 @t36 @t121)) % 36.34/36.55 (define @t123 () (and @t52 @t51)) % 36.34/36.55 (define @t124 () (not @t16)) % 36.34/36.55 (define @t125 () (not @t6)) % 36.34/36.55 (define @t126 () (or @t125 @t124 @t123 @t26)) % 36.34/36.55 (define @t127 () (forall @t34 @t126)) % 36.34/36.55 (define @t128 () (or @t94 @t36 @t127)) % 36.34/36.55 (define @t129 () (=> @t37 @t127)) % 36.34/36.55 (define @t130 () (or @t125 @t124)) % 36.34/36.55 (define @t131 () (not @t33)) % 36.34/36.55 (define @t132 () (@quantifiers_skolemize (forall @t3 (or @t94 (not @t71))) 0)) % 36.34/36.55 (define @t133 () (= @t76 @t132)) % 36.34/36.55 (define @t134 () (tptp.sdtasdt0 @t132 tptp.xp)) % 36.34/36.55 (define @t135 () (tptp.sdtasdt0 @t76 tptp.xp)) % 36.34/36.55 (define @t136 () (tptp.sdtasdt0 tptp.xp @t132)) % 36.34/36.55 (define @t137 () (tptp.sdtasdt0 tptp.xp @t76)) % 36.34/36.55 (define @t138 () (= @t137 @t136)) % 36.34/36.55 (define @t139 () (not @t138)) % 36.34/36.55 (define @t140 () (and @t139 (not (= @t135 @t134)))) % 36.34/36.55 (define @t141 () (tptp.aNaturalNumber0 @t132)) % 36.34/36.55 (define @t142 () (not @t141)) % 36.34/36.55 (define @t143 () (tptp.aNaturalNumber0 @t76)) % 36.34/36.55 (define @t144 () (not @t143)) % 36.34/36.55 (define @t145 () (not @t64)) % 36.34/36.55 (define @t146 () (or @t145 @t74 @t144 @t142 @t140 @t133)) % 36.34/36.55 (define @t147 () (forall @t117 @t114)) % 36.34/36.55 (define @t148 () (= tptp.sz00 tptp.xp)) % 36.34/36.55 (define @t149 () (or @t145 @t148 @t144 @t142 @t140 @t133)) % 36.34/36.55 (define @t150 () (@list false)) % 36.34/36.55 (define @t151 () (forall @t3 (not @t72))) % 36.34/36.55 (define @t152 () (not @t151)) % 36.34/36.55 (define @t153 () (= @t70 @t136)) % 36.34/36.55 (define @t154 () (not @t153)) % 36.34/36.55 (define @t155 () (or @t142 @t154)) % 36.34/36.55 (define @t156 () (@list @t155)) % 36.34/36.55 (define @t157 () (not @t140)) % 36.34/36.55 (define @t158 () (or @t94 @t125)) % 36.34/36.55 (define @t159 () (not @t7)) % 36.34/36.55 (define @t160 () (= @t137 @t135)) % 36.34/36.55 (define @t161 () (or @t145 @t144 @t160)) % 36.34/36.55 (define @t162 () (@list false false false)) % 36.34/36.55 (define @t163 () (@list @t64 @t143 @t161)) % 36.34/36.55 (define @t164 () (or @t94 @t125 @t124)) % 36.34/36.55 (define @t165 () (tptp.sdtasdt0 @t99 tptp.xp)) % 36.34/36.55 (define @t166 () (tptp.sdtasdt0 tptp.xr @t165)) % 36.34/36.55 (define @t167 () (= (tptp.sdtasdt0 @t100 tptp.xp) @t166)) % 36.34/36.55 (define @t168 () (not @t86)) % 36.34/36.55 (define @t169 () (or @t168 @t104 @t145 @t167)) % 36.34/36.55 (define @t170 () (@list false false false false)) % 36.34/36.55 (define @t171 () (@list @t64 @t86 @t103 @t169)) % 36.34/36.55 (define @t172 () (forall @t3 (not @t89))) % 36.34/36.55 (define @t173 () (not @t172)) % 36.34/36.55 (define @t174 () (tptp.aNaturalNumber0 @t165)) % 36.34/36.55 (define @t175 () (or @t104 @t145 @t174)) % 36.34/36.55 (define @t176 () (= @t70 @t166)) % 36.34/36.55 (define @t177 () (not @t176)) % 36.34/36.55 (define @t178 () (not @t174)) % 36.34/36.55 (define @t179 () (or @t178 @t177)) % 36.34/36.55 (define @t180 () (not @t167)) % 36.34/36.55 (define @t181 () (not @t160)) % 36.34/36.55 (define @t182 () (not @t133)) % 36.34/36.55 (define @t183 () (= @t70 @t137)) % 36.34/36.55 (define @t184 () (not @t183)) % 36.34/36.55 (define @t185 () (and @t176 @t177)) % 36.34/36.55 (assume @p1 (forall @t3 (=> @t2 true))) % 36.34/36.55 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 36.34/36.55 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 36.34/36.55 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 36.34/36.55 (assume @p5 @t11) % 36.34/36.55 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 36.34/36.55 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 36.34/36.55 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 36.34/36.55 (assume @p9 @t21) % 36.34/36.55 (assume @p10 @t23) % 36.34/36.55 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 36.34/36.55 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 36.34/36.55 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t25)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t24)))))) % 36.34/36.55 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t28) (= @t12 @t27)) @t26)))) % 36.34/36.55 (assume @p15 @t40) % 36.34/36.55 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t36 @t41))))) % 36.34/36.55 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t36 @t41))))) % 36.34/36.55 (assume @p18 (forall @t8 (=> @t7 (= @t44 (exists @t43 @t42))))) % 36.34/36.55 (assume @p19 (forall @t8 (=> @t7 (=> @t44 (forall @t43 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t42)))))) % 36.34/36.55 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 36.34/36.55 (assume @p21 (forall @t8 (=> @t7 (=> (and @t44 @t46) @t45)))) % 36.34/36.55 (assume @p22 (forall @t18 (=> @t17 (=> (and @t44 @t47) (tptp.sdtlseqdt0 @t1 @t13))))) % 36.34/36.55 (assume @p23 (forall @t8 (=> @t7 (or @t44 (and (not @t48) @t46))))) % 36.34/36.55 (assume @p24 (forall @t8 (=> @t7 (=> @t50 (forall @t43 (=> @t16 (and (not (= @t27 @t49)) (tptp.sdtlseqdt0 @t27 @t49) (not (= @t28 @t14)) (tptp.sdtlseqdt0 @t28 @t14)))))))) % 36.34/36.55 (assume @p25 (forall @t18 (=> @t17 (=> (and @t37 (not @t26) @t47) (and @t52 (tptp.sdtlseqdt0 @t9 @t25) @t51 (tptp.sdtlseqdt0 @t19 @t24)))))) % 36.34/36.55 (assume @p26 (forall @t3 (=> @t2 (or @t36 @t53 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 36.34/36.55 (assume @p27 (forall @t8 (=> @t7 (=> @t37 (tptp.sdtlseqdt0 @t4 @t19))))) % 36.34/36.55 (assume @p28 (forall @t8 (=> @t7 (=> @t54 true)))) % 36.34/36.55 (assume @p29 (forall @t8 (=> @t7 (=> @t50 @t54)))) % 36.34/36.55 (assume @p30 (forall @t8 (=> @t7 (= @t56 (exists @t43 @t55))))) % 36.34/36.55 (assume @p31 (forall @t8 (=> @t7 (=> @t58 (forall @t43 (= (= @t13 @t57) @t55)))))) % 36.34/36.55 (assume @p32 (forall @t18 (=> @t17 (=> (and @t56 (tptp.doDivides0 @t4 @t13)) @t59)))) % 36.34/36.55 (assume @p33 (forall @t18 (=> @t17 (=> (and @t56 @t59) @t60)))) % 36.34/36.55 (assume @p34 (forall @t18 (=> @t17 (=> (and @t56 @t60) @t59)))) % 36.34/36.55 (assume @p35 (forall @t8 (=> @t7 (=> (and @t56 (not @t41)) @t44)))) % 36.34/36.55 (assume @p36 (forall @t8 (=> @t7 (=> @t58 (forall @t43 (=> @t16 (= (tptp.sdtasdt0 @t13 @t57) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 36.34/36.55 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t37 @t63 (forall @t62 (=> (and @t6 @t61) (or (= @t4 tptp.sz10) @t48)))))))) % 36.34/36.55 (assume @p38 (forall @t3 (=> (and @t2 @t37 @t63) (exists @t62 (and @t6 @t61 (tptp.isPrime0 @t4)))))) % 36.34/36.55 (assume @p39 (and (tptp.aNaturalNumber0 tptp.xn) (tptp.aNaturalNumber0 tptp.xm) @t64)) % 36.34/36.55 (assume @p40 (forall @t18 (=> @t17 (=> (and (or (and (not (= @t13 tptp.sz00)) (not (= @t13 tptp.sz10)) (forall @t68 (=> (and @t67 (exists (@list @t69) (and (tptp.aNaturalNumber0 @t69) (= @t13 (tptp.sdtasdt0 @t65 @t69)))) (tptp.doDivides0 @t65 @t13)) (or (= @t65 tptp.sz10) (= @t65 @t13))))) (tptp.isPrime0 @t13)) (or (exists @t68 (and @t67 (= @t9 @t66))) (tptp.doDivides0 @t13 @t9))) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists @t68 (and @t67 (= @t1 @t66))) (tptp.doDivides0 @t13 @t1)) (and (exists @t68 (and @t67 (= @t4 @t66))) (tptp.doDivides0 @t13 @t4)))))))) % 36.34/36.55 (assume @p41 (and (not @t74) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t62 (and @t6 (= tptp.xp @t9))) (tptp.doDivides0 @t1 tptp.xp))) (or @t53 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp) @t73 (tptp.doDivides0 tptp.xp @t70))) % 36.34/36.55 (assume @p42 (not (or (exists @t3 (and @t2 (= @t75 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 36.34/36.55 (assume @p43 (not (or (exists @t3 (and @t2 (= @t75 tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm)))) % 36.34/36.55 (assume @p44 (and (not (= tptp.xn tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xn @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xm @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 36.34/36.55 (assume @p45 (and @t79 @t78 (= tptp.xk @t76))) % 36.34/36.55 (assume @p46 (not (or @t81 @t80))) % 36.34/36.55 (assume @p47 (and (not @t81) (not @t80))) % 36.34/36.55 (assume @p48 (and @t86 @t85 (tptp.doDivides0 tptp.xr tptp.xk) (not (= tptp.xr tptp.sz00)) (not (= tptp.xr tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t62 (and @t6 (= tptp.xr @t9))) (tptp.doDivides0 @t1 tptp.xr))) (or @t53 (= @t1 tptp.xr)))) (tptp.isPrime0 tptp.xr))) % 36.34/36.55 (assume @p49 @t92) % 36.34/36.55 (assume @p50 true) % 36.34/36.55 (step @p51 :rule and_elim :premises (@p45) :args (2)) % 36.34/36.55 (step @p52 :rule refl :args (tptp.xp)) % 36.34/36.55 (step @p53 :rule cong :premises (@p52 @p51) :args (@t77)) % 36.34/36.55 (step @p54 :rule refl :args (@t70)) % 36.34/36.55 (step @p55 :rule cong :premises (@p54 @p53) :args (@t78)) % 36.34/36.55 (step @p56 :rule and_elim :premises (@p45) :args (1)) % 36.34/36.55 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 36.34/36.55 (step @p58 :rule refl :args (@t82)) % 36.34/36.55 (step @p59 :rule cong :premises (@p51 @p58) :args (@t83)) % 36.34/36.55 (step @p60 :rule cong :premises (@p59) :args (@t93)) % 36.34/36.55 (step @p61 :rule refl :args (@t94)) % 36.34/36.55 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t95)) % 36.34/36.55 (step @p63 :rule cong :premises (@p62) :args (@t96)) % 36.34/36.55 (step @p64 :rule cong :premises (@p63) :args ((not @t96))) % 36.34/36.55 (step @p65 :rule bool-and-de-morgan :args (@t2 @t83 true)) % 36.34/36.55 (step @p66 :rule cong :premises (@p65) :args (@t97)) % 36.34/36.55 (step @p67 :rule cong :premises (@p66) :args (@t98)) % 36.34/36.55 (step @p68 :rule exists-elim :args ((= @t85 @t98))) % 36.34/36.55 (step @p69 :rule trans :premises (@p68 @p67)) % 36.34/36.55 (step @p70 :rule trans :premises (@p69 @p64)) % 36.34/36.55 (step @p71 :rule and_elim :premises (@p48) :args (1)) % 36.34/36.55 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 36.34/36.55 (step @p73 :rule skolemize :premises (@p72)) % 36.34/36.55 (step @p74 :rule bool-double-not-elim :args (@t101)) % 36.34/36.55 (step @p75 :rule refl :args (@t105)) % 36.34/36.55 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t105 (not @t102)))) % 36.34/36.55 (step @p77 :rule cnf_or_neg :args (@t105 1)) % 36.34/36.55 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 36.34/36.55 (step @p79 :rule reordering :premises (@p78) :args ((or @t101 @t105))) % 36.34/36.55 (step @p80 :rule chain_m_resolution :premises (@p79 @p73) :args (@t101 @t106 @t107)) % 36.34/36.55 (step @p81 :rule aci_norm :args ((= @t116 @t114))) % 36.34/36.55 (step @p82 :rule cong :premises (@p81) :args (@t118)) % 36.34/36.55 (step @p83 :rule quant-merge-prenex :args ((= (forall @t3 @t120) @t118))) % 36.34/36.55 (step @p84 :rule alpha_equiv :args (@t121 (@list @t109 @t108) (@list @t4 @t13))) % 36.34/36.55 (step @p85 :rule refl :args (@t36)) % 36.34/36.55 (step @p86 :rule refl :args (@t94)) % 36.34/36.55 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t122)) % 36.34/36.55 (step @p88 :rule quant-miniscope-or :args ((= @t120 @t122))) % 36.34/36.55 (step @p89 :rule trans :premises (@p88 @p87)) % 36.34/36.55 (step @p90 :rule symm :premises (@p89)) % 36.34/36.55 (step @p91 :rule cong :premises (@p90) :args ((forall @t3 @t128))) % 36.34/36.55 (step @p92 :rule trans :premises (@p91 @p83)) % 36.34/36.55 (step @p93 :rule trans :premises (@p92 @p82)) % 36.34/36.55 (step @p94 :rule aci_norm :args ((= (or @t94 (or @t36 @t127)) @t128))) % 36.34/36.55 (step @p95 :rule refl :args (@t127)) % 36.34/36.55 (step @p96 :rule bool-double-not-elim :args (@t36)) % 36.34/36.55 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t37) @t127))) % 36.34/36.55 (step @p98 :rule bool-impl-elim :args (@t37 @t127)) % 36.34/36.55 (step @p99 :rule trans :premises (@p98 @p97)) % 36.34/36.55 (step @p100 :rule nary_cong :premises (@p86 @p99) :args ((or @t94 @t129))) % 36.34/36.55 (step @p101 :rule trans :premises (@p100 @p94)) % 36.34/36.55 (step @p102 :rule bool-impl-elim :args (@t2 @t129)) % 36.34/36.55 (step @p103 :rule trans :premises (@p102 @p101)) % 36.34/36.55 (step @p104 :rule cong :premises (@p103) :args ((forall @t3 (=> @t2 @t129)))) % 36.34/36.55 (step @p105 :rule trans :premises (@p104 @p93)) % 36.34/36.55 (step @p106 :rule aci_norm :args ((= (or @t130 (or @t123 @t26)) @t126))) % 36.34/36.55 (step @p107 :rule refl :args (@t26)) % 36.34/36.55 (step @p108 :rule bool-or-de-morgan :args (@t30 @t29 false)) % 36.34/36.55 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t31) @t26))) % 36.34/36.55 (step @p110 :rule bool-impl-elim :args (@t31 @t26)) % 36.34/36.55 (step @p111 :rule trans :premises (@p110 @p109)) % 36.34/36.55 (step @p112 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 36.34/36.55 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t131 @t32))) % 36.34/36.55 (step @p114 :rule trans :premises (@p113 @p106)) % 36.34/36.55 (step @p115 :rule bool-impl-elim :args (@t33 @t32)) % 36.34/36.55 (step @p116 :rule trans :premises (@p115 @p114)) % 36.34/36.55 (step @p117 :rule cong :premises (@p116) :args (@t35)) % 36.34/36.55 (step @p118 :rule refl :args (@t37)) % 36.34/36.55 (step @p119 :rule cong :premises (@p118 @p117) :args (@t38)) % 36.34/36.55 (step @p120 :rule refl :args (@t2)) % 36.34/36.55 (step @p121 :rule cong :premises (@p120 @p119) :args (@t39)) % 36.34/36.55 (step @p122 :rule cong :premises (@p121) :args (@t40)) % 36.34/36.55 (step @p123 :rule trans :premises (@p122 @p105)) % 36.34/36.55 (step @p124 :rule eq_resolve :premises (@p15 @p123)) % 36.34/36.55 (step @p125 :rule refl :args (@t133)) % 36.34/36.55 (step @p126 :rule refl :args (@t140)) % 36.34/36.55 (step @p127 :rule refl :args (@t142)) % 36.34/36.55 (step @p128 :rule refl :args (@t144)) % 36.34/36.55 (step @p129 :rule eq-symm :args (tptp.xp tptp.sz00)) % 36.34/36.55 (step @p130 :rule refl :args (@t145)) % 36.34/36.55 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127 @p126 @p125) :args (@t146)) % 36.34/36.55 (step @p132 :rule refl :args (@t147)) % 36.34/36.55 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t147 @t146))) % 36.34/36.55 (assume-push @p286 @t147) % 36.34/36.55 (step @p135 :rule instantiate :premises (@p124) :args ((@list tptp.xp @t76 @t132))) % 36.34/36.55 (step-pop @p287 :rule scope :premises (@p135)) % 36.34/36.55 (step @p136 :rule process_scope :premises (@p287) :args (@t146)) % 36.34/36.55 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 36.34/36.55 (step @p139 :rule implies_elim :premises (@p138)) % 36.34/36.55 (step @p140 :rule chain_m_resolution :premises (@p139 @p124) :args (@t149 @t150 (@list @t147))) % 36.34/36.55 (step @p141 :rule bool-and-de-morgan :args (@t2 @t71 true)) % 36.34/36.55 (step @p142 :rule cong :premises (@p141) :args (@t151)) % 36.34/36.55 (step @p143 :rule cong :premises (@p142) :args (@t152)) % 36.34/36.55 (step @p144 :rule exists-elim :args ((= @t73 @t152))) % 36.34/36.55 (step @p145 :rule trans :premises (@p144 @p143)) % 36.34/36.55 (step @p146 :rule and_elim :premises (@p41) :args (4)) % 36.34/36.55 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 36.34/36.55 (step @p148 :rule skolemize :premises (@p147)) % 36.34/36.55 (step @p149 :rule bool-double-not-elim :args (@t153)) % 36.34/36.55 (step @p150 :rule refl :args (@t155)) % 36.34/36.55 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t155 (not @t154)))) % 36.34/36.55 (step @p152 :rule cnf_or_neg :args (@t155 1)) % 36.34/36.55 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 36.34/36.55 (step @p154 :rule reordering :premises (@p153) :args ((or @t153 @t155))) % 36.34/36.55 (step @p155 :rule chain_m_resolution :premises (@p154 @p148) :args (@t153 @t106 @t156)) % 36.34/36.55 (step @p156 :rule symm :premises (@p57)) % 36.34/36.55 (step @p157 :rule trans :premises (@p156 @p155)) % 36.34/36.55 (step @p158 :rule cnf_and_pos :args (@t140 0)) % 36.34/36.55 (step @p159 :rule reordering :premises (@p158) :args ((or @t139 @t157))) % 36.34/36.55 (step @p160 :rule chain_m_resolution :premises (@p159 @p157) :args (@t157 @t150 (@list @t138))) % 36.34/36.55 (step @p161 :rule bool-double-not-elim :args (@t141)) % 36.34/36.55 (step @p162 :rule nary_cong :premises (@p150 @p161) :args ((or @t155 (not @t142)))) % 36.34/36.55 (step @p163 :rule cnf_or_neg :args (@t155 0)) % 36.34/36.55 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 36.34/36.55 (step @p165 :rule reordering :premises (@p164) :args ((or @t141 @t155))) % 36.34/36.55 (step @p166 :rule chain_m_resolution :premises (@p165 @p148) :args (@t141 @t106 @t156)) % 36.34/36.55 (step @p167 :rule cong :premises (@p51) :args (@t79)) % 36.34/36.55 (step @p168 :rule and_elim :premises (@p45) :args (0)) % 36.34/36.55 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 36.34/36.55 (step @p170 :rule and_elim :premises (@p39) :args (2)) % 36.34/36.55 (step @p171 :rule and_elim :premises (@p41) :args (0)) % 36.34/36.55 (step @p172 :rule symm :premises (@p171)) % 36.34/36.55 (step @p173 :rule cnf_or_pos :args (@t149)) % 36.34/36.55 (step @p174 :rule reordering :premises (@p173) :args ((or @t148 @t145 @t144 @t142 @t140 @t133 (not @t149)))) % 36.34/36.55 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p170 @p169 @p166 @p160 @p140) :args (@t133 (@list true false false false true false) (@list @t148 @t64 @t143 @t141 @t140 @t149))) % 36.34/36.55 (step @p176 :rule aci_norm :args ((= (or @t158 @t20) (or @t94 @t125 @t20)))) % 36.34/36.55 (step @p177 :rule refl :args (@t20)) % 36.34/36.55 (step @p178 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 36.34/36.55 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t159 @t20))) % 36.34/36.55 (step @p180 :rule trans :premises (@p179 @p176)) % 36.34/36.55 (step @p181 :rule bool-impl-elim :args (@t7 @t20)) % 36.34/36.55 (step @p182 :rule trans :premises (@p181 @p180)) % 36.34/36.55 (step @p183 :rule cong :premises (@p182) :args (@t21)) % 36.34/36.55 (step @p184 :rule eq_resolve :premises (@p9 @p183)) % 36.34/36.55 (step @p185 :rule instantiate :premises (@p184) :args ((@list tptp.xp @t76))) % 36.34/36.55 (step @p186 :rule cnf_or_pos :args (@t161)) % 36.34/36.55 (step @p187 :rule reordering :premises (@p186) :args ((or @t145 @t144 @t160 (not @t161)))) % 36.34/36.55 (step @p188 :rule chain_m_resolution :premises (@p187 @p170 @p169 @p185) :args (@t160 @t162 @t163)) % 36.34/36.55 (step @p189 :rule aci_norm :args ((= (or @t164 @t22) (or @t94 @t125 @t124 @t22)))) % 36.34/36.55 (step @p190 :rule refl :args (@t22)) % 36.34/36.55 (step @p191 :rule aci_norm :args ((= (or @t94 @t130) @t164))) % 36.34/36.55 (step @p192 :rule nary_cong :premises (@p86 @p112) :args ((or @t94 @t131))) % 36.34/36.55 (step @p193 :rule bool-and-de-morgan :args (@t2 @t6 (and @t16))) % 36.34/36.55 (step @p194 :rule trans :premises (@p193 @p192)) % 36.34/36.55 (step @p195 :rule trans :premises (@p194 @p191)) % 36.34/36.55 (step @p196 :rule nary_cong :premises (@p195 @p190) :args ((or (not @t17) @t22))) % 36.34/36.55 (step @p197 :rule trans :premises (@p196 @p189)) % 36.34/36.55 (step @p198 :rule bool-impl-elim :args (@t17 @t22)) % 36.34/36.55 (step @p199 :rule trans :premises (@p198 @p197)) % 36.34/36.55 (step @p200 :rule cong :premises (@p199) :args (@t23)) % 36.34/36.55 (step @p201 :rule eq_resolve :premises (@p10 @p200)) % 36.34/36.55 (step @p202 :rule instantiate :premises (@p201) :args ((@list tptp.xr @t99 tptp.xp))) % 36.34/36.55 (step @p203 :rule bool-double-not-elim :args (@t103)) % 36.34/36.55 (step @p204 :rule nary_cong :premises (@p75 @p203) :args ((or @t105 (not @t104)))) % 36.34/36.55 (step @p205 :rule cnf_or_neg :args (@t105 0)) % 36.34/36.55 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 36.34/36.55 (step @p207 :rule reordering :premises (@p206) :args ((or @t103 @t105))) % 36.34/36.55 (step @p208 :rule chain_m_resolution :premises (@p207 @p73) :args (@t103 @t106 @t107)) % 36.34/36.55 (step @p209 :rule and_elim :premises (@p48) :args (0)) % 36.34/36.55 (step @p210 :rule cnf_or_pos :args (@t169)) % 36.34/36.55 (step @p211 :rule reordering :premises (@p210) :args ((or @t145 @t168 @t104 @t167 (not @t169)))) % 36.34/36.55 (step @p212 :rule chain_m_resolution :premises (@p211 @p170 @p209 @p208 @p202) :args (@t167 @t170 @t171)) % 36.34/36.55 (step @p213 :rule refl :args (@t87)) % 36.34/36.55 (step @p214 :rule bool-and-de-morgan :args (@t2 @t88 true)) % 36.34/36.55 (step @p215 :rule cong :premises (@p214) :args (@t172)) % 36.34/36.55 (step @p216 :rule cong :premises (@p215) :args (@t173)) % 36.34/36.55 (step @p217 :rule exists-elim :args ((= @t90 @t173))) % 36.34/36.55 (step @p218 :rule trans :premises (@p217 @p216)) % 36.34/36.55 (step @p219 :rule nary_cong :premises (@p218 @p213) :args (@t91)) % 36.34/36.55 (step @p220 :rule cong :premises (@p219) :args (@t92)) % 36.34/36.55 (step @p221 :rule eq_resolve :premises (@p49 @p220)) % 36.34/36.55 (step @p222 :rule not_or_elim :premises (@p221) :args (0)) % 36.34/36.55 (step @p223 :rule not_not_elim :premises (@p222)) % 36.34/36.55 (step @p224 :rule instantiate :premises (@p223) :args ((@list @t165))) % 36.34/36.55 (step @p225 :rule aci_norm :args ((= (or @t158 @t10) (or @t94 @t125 @t10)))) % 36.34/36.55 (step @p226 :rule refl :args (@t10)) % 36.34/36.55 (step @p227 :rule nary_cong :premises (@p178 @p226) :args ((or @t159 @t10))) % 36.34/36.55 (step @p228 :rule trans :premises (@p227 @p225)) % 36.34/36.55 (step @p229 :rule bool-impl-elim :args (@t7 @t10)) % 36.34/36.55 (step @p230 :rule trans :premises (@p229 @p228)) % 36.34/36.55 (step @p231 :rule cong :premises (@p230) :args (@t11)) % 36.34/36.55 (step @p232 :rule eq_resolve :premises (@p5 @p231)) % 36.34/36.55 (step @p233 :rule instantiate :premises (@p232) :args ((@list @t99 tptp.xp))) % 36.34/36.55 (step @p234 :rule cnf_or_pos :args (@t175)) % 36.34/36.55 (step @p235 :rule reordering :premises (@p234) :args ((or @t145 @t104 @t174 (not @t175)))) % 36.34/36.55 (step @p236 :rule chain_m_resolution :premises (@p235 @p170 @p208 @p233) :args (@t174 @t162 (@list @t64 @t103 @t175))) % 36.34/36.55 (step @p237 :rule cnf_or_pos :args (@t179)) % 36.34/36.55 (step @p238 :rule reordering :premises (@p237) :args ((or @t178 @t177 (not @t179)))) % 36.34/36.55 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p224) :args (@t177 (@list false false) (@list @t174 @t179))) % 36.34/36.55 (step @p240 :rule bool-double-not-elim :args (@t176)) % 36.34/36.55 (step @p241 :rule refl :args (@t180)) % 36.34/36.55 (step @p242 :rule refl :args (@t181)) % 36.34/36.55 (step @p243 :rule refl :args (@t182)) % 36.34/36.55 (step @p244 :rule refl :args (@t102)) % 36.34/36.55 (step @p245 :rule refl :args (@t184)) % 36.34/36.55 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243 @p242 @p241 @p240) :args ((or @t184 @t102 @t182 @t181 @t180 (not @t177)))) % 36.34/36.55 (assume-push @p288 @t176) % 36.34/36.55 (assume-push @p289 @t177) % 36.34/36.55 (step @p249 :rule evaluate :args ((= true false))) % 36.34/36.55 (step @p250 :rule false_intro :premises (@p239)) % 36.34/36.55 (step @p251 :rule chain_m_resolution :premises (@p211 @p170 @p209 @p208 @p202) :args (@t167 @t170 @t171)) % 36.34/36.55 (step @p252 :rule symm :premises (@p175)) % 36.34/36.55 (step @p253 :rule trans :premises (@p252 @p80)) % 36.34/36.55 (step @p254 :rule cong :premises (@p253 @p52) :args (@t134)) % 36.34/36.55 (step @p255 :rule cong :premises (@p175 @p52) :args (@t135)) % 36.34/36.55 (step @p256 :rule chain_m_resolution :premises (@p187 @p170 @p169 @p185) :args (@t160 @t162 @t163)) % 36.34/36.55 (step @p257 :rule eq_resolve :premises (@p56 @p55)) % 36.34/36.55 (step @p258 :rule trans :premises (@p257 @p256 @p255 @p254 @p251)) % 36.34/36.55 (step @p259 :rule true_intro :premises (@p258)) % 36.34/36.55 (step @p260 :rule symm :premises (@p259)) % 36.34/36.55 (step @p261 :rule trans :premises (@p260 @p250)) % 36.34/36.55 (step @p262 false :rule eq_resolve :premises (@p261 @p249)) % 36.34/36.55 (step-pop @p290 :rule scope :premises (@p262)) % 36.34/36.55 (step-pop @p291 :rule scope :premises (@p290)) % 36.34/36.55 (step @p263 :rule process_scope :premises (@p291) :args (false)) % 36.34/36.55 (assume-push @p292 @t183) % 36.34/36.55 (assume-push @p293 @t101) % 36.34/36.55 (assume-push @p294 @t133) % 36.34/36.55 (assume-push @p295 @t160) % 36.34/36.55 (assume-push @p296 @t167) % 36.34/36.55 (assume-push @p297 @t177) % 36.34/36.55 (step @p252 :rule symm :premises (@p175)) % 36.34/36.55 (step @p253 :rule trans :premises (@p252 @p80)) % 36.34/36.55 (step @p254 :rule cong :premises (@p253 @p52) :args (@t134)) % 36.34/36.55 (step @p255 :rule cong :premises (@p175 @p52) :args (@t135)) % 36.34/36.55 (step @p272 :rule trans :premises (@p57 @p188 @p255 @p254 @p212)) % 36.34/36.55 (step @p273 :rule and_intro :premises (@p272 @p239)) % 36.34/36.55 (step-pop @p298 :rule scope :premises (@p273)) % 36.34/36.55 (step-pop @p299 :rule scope :premises (@p298)) % 36.34/36.55 (step-pop @p300 :rule scope :premises (@p299)) % 36.34/36.55 (step-pop @p301 :rule scope :premises (@p300)) % 36.34/36.55 (step-pop @p302 :rule scope :premises (@p301)) % 36.34/36.55 (step-pop @p303 :rule scope :premises (@p302)) % 36.34/36.55 (step @p274 :rule process_scope :premises (@p303) :args (@t185)) % 36.34/36.55 (step @p281 :rule implies_elim :premises (@p274)) % 36.34/36.55 (step @p282 :rule resolution :premises (@p281 @p263) :args (true @t185)) % 36.34/36.55 (step @p283 :rule not_and :premises (@p282)) % 36.34/36.55 (step @p284 :rule eq_resolve :premises (@p283 @p246)) % 36.34/36.55 (step @p285 false :rule chain_m_resolution :premises (@p284 @p239 @p212 @p188 @p175 @p80 @p57) :args (false (@list true false false false false false) (@list @t176 @t167 @t160 @t133 @t101 @t183))) % 36.34/36.55 ) % 36.34/36.55 % SZS output end Proof % 36.34/36.55 % cvc5 exiting %------------------------------------------------------------------------------