%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM500+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 3.73s 3.96s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM500+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:24:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 3.73/3.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.73/3.96 % SZS status Theorem % 3.73/3.96 % SZS output start Proof % 3.73/3.96 ( % 3.73/3.96 (declare-sort $$unsorted 0) % 3.73/3.96 (declare-const tptp.xk $$unsorted) % 3.73/3.96 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 3.73/3.96 (declare-const tptp.xm $$unsorted) % 3.73/3.96 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.96 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 3.73/3.96 (declare-const tptp.xn $$unsorted) % 3.73/3.96 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 3.73/3.96 (declare-const tptp.sz00 $$unsorted) % 3.73/3.96 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.96 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.96 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.96 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 3.73/3.96 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 3.73/3.96 (declare-const tptp.sz10 $$unsorted) % 3.73/3.96 (declare-const tptp.xp $$unsorted) % 3.73/3.96 (define @t1 () (@var "W0" $$unsorted)) % 3.73/3.96 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 3.73/3.96 (define @t3 () (@list @t1)) % 3.73/3.96 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 3.73/3.96 (define @t5 () (@var "W1" $$unsorted)) % 3.73/3.96 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 3.73/3.96 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 3.73/3.96 (define @t8 () (and @t2 @t7)) % 3.73/3.96 (define @t9 () (@list @t1 @t5)) % 3.73/3.96 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 3.73/3.96 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 3.73/3.96 (define @t12 () (@var "W2" $$unsorted)) % 3.73/3.96 (define @t13 () (tptp.sdtpldt0 @t5 @t12)) % 3.73/3.96 (define @t14 () (tptp.sdtpldt0 @t6 @t12)) % 3.73/3.96 (define @t15 () (tptp.aNaturalNumber0 @t12)) % 3.73/3.96 (define @t16 () (and @t2 @t7 @t15)) % 3.73/3.96 (define @t17 () (@list @t1 @t5 @t12)) % 3.73/3.96 (define @t18 () (tptp.sdtasdt0 @t5 @t1)) % 3.73/3.96 (define @t19 () (tptp.sdtasdt0 @t5 @t12)) % 3.73/3.96 (define @t20 () (tptp.sdtasdt0 @t12 @t1)) % 3.73/3.96 (define @t21 () (tptp.sdtasdt0 @t1 @t12)) % 3.73/3.96 (define @t22 () (= @t5 @t12)) % 3.73/3.96 (define @t23 () (tptp.sdtpldt0 @t12 @t1)) % 3.73/3.96 (define @t24 () (tptp.sdtpldt0 @t1 @t12)) % 3.73/3.96 (define @t25 () (= @t18 @t20)) % 3.73/3.96 (define @t26 () (= @t10 @t21)) % 3.73/3.96 (define @t27 () (= @t1 tptp.sz00)) % 3.73/3.96 (define @t28 () (not @t27)) % 3.73/3.96 (define @t29 () (= @t5 tptp.sz00)) % 3.73/3.96 (define @t30 () (and @t15 (= @t24 @t5))) % 3.73/3.96 (define @t31 () (@list @t12)) % 3.73/3.96 (define @t32 () (tptp.sdtlseqdt0 @t1 @t5)) % 3.73/3.96 (define @t33 () (= @t1 @t5)) % 3.73/3.96 (define @t34 () (tptp.sdtlseqdt0 @t5 @t1)) % 3.73/3.96 (define @t35 () (tptp.sdtlseqdt0 @t5 @t12)) % 3.73/3.96 (define @t36 () (= @t5 @t1)) % 3.73/3.96 (define @t37 () (tptp.sdtpldt0 @t12 @t5)) % 3.73/3.96 (define @t38 () (and (not @t33) @t32)) % 3.73/3.96 (define @t39 () (= @t1 tptp.sz10)) % 3.73/3.96 (define @t40 () (tptp.iLess0 @t1 @t5)) % 3.73/3.96 (define @t41 () (and @t15 (= @t5 @t21))) % 3.73/3.96 (define @t42 () (tptp.doDivides0 @t1 @t5)) % 3.73/3.96 (define @t43 () (tptp.sdtsldt0 @t5 @t1)) % 3.73/3.96 (define @t44 () (and @t28 @t42)) % 3.73/3.96 (define @t45 () (tptp.doDivides0 @t1 @t12)) % 3.73/3.96 (define @t46 () (tptp.doDivides0 @t1 @t13)) % 3.73/3.96 (define @t47 () (or (= @t5 tptp.sz10) @t36)) % 3.73/3.96 (define @t48 () (tptp.doDivides0 @t5 @t1)) % 3.73/3.96 (define @t49 () (@list @t5)) % 3.73/3.96 (define @t50 () (not @t39)) % 3.73/3.96 (define @t51 () (tptp.isPrime0 @t1)) % 3.73/3.96 (define @t52 () (tptp.isPrime0 @t5)) % 3.73/3.96 (define @t53 () (and @t7 @t48 @t52)) % 3.73/3.96 (define @t54 () (exists @t49 @t53)) % 3.73/3.96 (define @t55 () (and @t2 @t28 @t50)) % 3.73/3.96 (define @t56 () (=> @t55 @t54)) % 3.73/3.96 (define @t57 () (forall @t3 @t56)) % 3.73/3.96 (define @t58 () (@var "W3" $$unsorted)) % 3.73/3.96 (define @t59 () (tptp.sdtasdt0 @t12 @t58)) % 3.73/3.96 (define @t60 () (tptp.aNaturalNumber0 @t58)) % 3.73/3.96 (define @t61 () (@list @t58)) % 3.73/3.96 (define @t62 () (@var "W4" $$unsorted)) % 3.73/3.96 (define @t63 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 3.73/3.96 (define @t64 () (tptp.sdtpldt0 tptp.xp @t1)) % 3.73/3.96 (define @t65 () (tptp.aNaturalNumber0 tptp.xk)) % 3.73/3.96 (define @t66 () (= tptp.xk tptp.sz10)) % 3.73/3.96 (define @t67 () (= tptp.xk tptp.sz00)) % 3.73/3.96 (define @t68 () (or @t67 @t66)) % 3.73/3.96 (define @t69 () (not @t68)) % 3.73/3.96 (define @t70 () (= @t1 @t19)) % 3.73/3.96 (define @t71 () (and @t15 @t70)) % 3.73/3.96 (define @t72 () (exists @t31 @t71)) % 3.73/3.96 (define @t73 () (and @t7 @t72 @t48)) % 3.73/3.96 (define @t74 () (=> @t73 @t47)) % 3.73/3.96 (define @t75 () (forall @t49 @t74)) % 3.73/3.96 (define @t76 () (and @t28 @t50 @t75)) % 3.73/3.96 (define @t77 () (or @t76 @t51)) % 3.73/3.96 (define @t78 () (tptp.doDivides0 @t1 tptp.xk)) % 3.73/3.96 (define @t79 () (and @t7 (= tptp.xk @t10))) % 3.73/3.96 (define @t80 () (exists @t49 @t79)) % 3.73/3.96 (define @t81 () (or @t80 @t78)) % 3.73/3.96 (define @t82 () (and @t2 @t81 @t77)) % 3.73/3.96 (define @t83 () (exists @t3 @t82)) % 3.73/3.96 (define @t84 () (not @t83)) % 3.73/3.96 (define @t85 () (not @t52)) % 3.73/3.96 (define @t86 () (not @t48)) % 3.73/3.96 (define @t87 () (not @t7)) % 3.73/3.96 (define @t88 () (or @t87 @t86 @t85)) % 3.73/3.96 (define @t89 () (not (forall @t49 @t88))) % 3.73/3.96 (define @t90 () (not @t2)) % 3.73/3.96 (define @t91 () (or @t90 @t27 @t39 @t89)) % 3.73/3.96 (define @t92 () (not @t50)) % 3.73/3.96 (define @t93 () (not @t28)) % 3.73/3.96 (define @t94 () (or @t90 @t93 @t92)) % 3.73/3.96 (define @t95 () (forall @t49 (not @t53))) % 3.73/3.96 (define @t96 () (not @t95)) % 3.73/3.96 (define @t97 () (forall @t49 (or @t87 (not (tptp.doDivides0 @t5 tptp.xk)) @t85))) % 3.73/3.96 (define @t98 () (not @t97)) % 3.73/3.96 (define @t99 () (not @t65)) % 3.73/3.96 (define @t100 () (or @t99 @t67 @t66 @t98)) % 3.73/3.96 (define @t101 () (forall @t3 @t91)) % 3.73/3.96 (define @t102 () (= tptp.sz10 tptp.xk)) % 3.73/3.96 (define @t103 () (= tptp.sz00 tptp.xk)) % 3.73/3.96 (define @t104 () (or @t99 @t103 @t102 @t98)) % 3.73/3.96 (define @t105 () (@list false)) % 3.73/3.96 (define @t106 () (@list true true false false)) % 3.73/3.96 (define @t107 () (@quantifiers_skolemize @t97 0)) % 3.73/3.96 (define @t108 () (tptp.aNaturalNumber0 @t107)) % 3.73/3.96 (define @t109 () (tptp.isPrime0 @t107)) % 3.73/3.96 (define @t110 () (not @t109)) % 3.73/3.96 (define @t111 () (tptp.doDivides0 @t107 tptp.xk)) % 3.73/3.96 (define @t112 () (not @t111)) % 3.73/3.96 (define @t113 () (not @t108)) % 3.73/3.96 (define @t114 () (or @t113 @t112 @t110)) % 3.73/3.96 (define @t115 () (@list true)) % 3.73/3.96 (define @t116 () (@list @t114)) % 3.73/3.96 (define @t117 () (not @t51)) % 3.73/3.96 (define @t118 () (@var "BOUND_VARIABLE_8429" $$unsorted)) % 3.73/3.96 (define @t119 () (tptp.sdtasdt0 @t5 @t118)) % 3.73/3.96 (define @t120 () (not (= @t1 @t119))) % 3.73/3.96 (define @t121 () (not (tptp.aNaturalNumber0 @t118))) % 3.73/3.96 (define @t122 () (= tptp.sz10 @t5)) % 3.73/3.96 (define @t123 () (or @t87 @t86 @t122 @t33 @t121 @t120)) % 3.73/3.96 (define @t124 () (@list @t5 @t118)) % 3.73/3.96 (define @t125 () (forall @t124 @t123)) % 3.73/3.96 (define @t126 () (not @t125)) % 3.73/3.96 (define @t127 () (and (or @t27 @t39 @t126) @t117)) % 3.73/3.96 (define @t128 () (not @t78)) % 3.73/3.96 (define @t129 () (@var "BOUND_VARIABLE_8460" $$unsorted)) % 3.73/3.96 (define @t130 () (tptp.sdtasdt0 @t1 @t129)) % 3.73/3.96 (define @t131 () (not (tptp.aNaturalNumber0 @t129))) % 3.73/3.96 (define @t132 () (@list @t1 @t129)) % 3.73/3.96 (define @t133 () (forall @t132 (or @t90 (and (or @t131 (not (= tptp.xk @t130))) @t128) @t127))) % 3.73/3.96 (define @t134 () (not (= @t130 tptp.xk))) % 3.73/3.96 (define @t135 () (or @t131 @t134)) % 3.73/3.96 (define @t136 () (and @t135 @t128)) % 3.73/3.96 (define @t137 () (or @t90 @t136 @t127)) % 3.73/3.96 (define @t138 () (forall @t132 @t137)) % 3.73/3.96 (define @t139 () (@list @t129)) % 3.73/3.96 (define @t140 () (forall @t139 @t137)) % 3.73/3.96 (define @t141 () (forall @t139 @t128)) % 3.73/3.96 (define @t142 () (forall @t139 @t135)) % 3.73/3.96 (define @t143 () (and @t142 @t141)) % 3.73/3.96 (define @t144 () (forall @t139 @t136)) % 3.73/3.96 (define @t145 () (or @t90 @t144 @t127)) % 3.73/3.96 (define @t146 () (= @t10 tptp.xk)) % 3.73/3.96 (define @t147 () (forall @t49 (or @t87 (not @t146)))) % 3.73/3.96 (define @t148 () (or @t93 @t92 @t126)) % 3.73/3.96 (define @t149 () (and @t28 @t50 @t125)) % 3.73/3.96 (define @t150 () (not @t147)) % 3.73/3.96 (define @t151 () (or @t149 @t51)) % 3.73/3.96 (define @t152 () (not @t151)) % 3.73/3.96 (define @t153 () (or @t150 @t78)) % 3.73/3.96 (define @t154 () (not @t153)) % 3.73/3.96 (define @t155 () (or @t90 @t154 @t152)) % 3.73/3.96 (define @t156 () (and @t2 @t153 @t151)) % 3.73/3.96 (define @t157 () (forall @t3 (not @t156))) % 3.73/3.96 (define @t158 () (not @t157)) % 3.73/3.96 (define @t159 () (or @t121 @t120)) % 3.73/3.96 (define @t160 () (or @t87 @t159 @t86 @t122 @t33)) % 3.73/3.96 (define @t161 () (forall @t124 @t160)) % 3.73/3.96 (define @t162 () (@list @t118)) % 3.73/3.96 (define @t163 () (forall @t162 @t160)) % 3.73/3.96 (define @t164 () (forall @t162 @t159)) % 3.73/3.96 (define @t165 () (or @t87 @t164 @t86 @t122 @t33)) % 3.73/3.96 (define @t166 () (forall @t31 (or (not @t15) (not @t70)))) % 3.73/3.96 (define @t167 () (or @t87 @t166 @t86 @t122 @t33)) % 3.73/3.96 (define @t168 () (or @t122 @t33)) % 3.73/3.96 (define @t169 () (not @t166)) % 3.73/3.96 (define @t170 () (not @t169)) % 3.73/3.96 (define @t171 () (or @t87 @t170 @t86)) % 3.73/3.96 (define @t172 () (and @t7 @t169 @t48)) % 3.73/3.96 (define @t173 () (forall @t31 (not @t71))) % 3.73/3.96 (define @t174 () (not @t173)) % 3.73/3.96 (define @t175 () (and @t7 @t146)) % 3.73/3.96 (define @t176 () (forall @t49 (not @t175))) % 3.73/3.96 (define @t177 () (not @t176)) % 3.73/3.96 (define @t178 () (not (= @t107 @t119))) % 3.73/3.96 (define @t179 () (not (tptp.doDivides0 @t5 @t107))) % 3.73/3.96 (define @t180 () (or @t87 @t179 @t122 (= @t107 @t5) @t121 @t178)) % 3.73/3.96 (define @t181 () (forall @t124 @t180)) % 3.73/3.96 (define @t182 () (not @t181)) % 3.73/3.96 (define @t183 () (or (= @t107 tptp.sz00) (= @t107 tptp.sz10) @t182)) % 3.73/3.96 (define @t184 () (and @t183 @t110)) % 3.73/3.96 (define @t185 () (and (or (not @t4) (not (= tptp.xk (tptp.sdtasdt0 @t107 tptp.sz00)))) @t112)) % 3.73/3.96 (define @t186 () (or @t113 @t185 @t184)) % 3.73/3.96 (define @t187 () (and (or (= tptp.sz00 @t107) (= tptp.sz10 @t107) (not (forall @t124 (or @t87 @t179 @t122 (= @t5 @t107) @t121 (not (= @t119 @t107)))))) @t110)) % 3.73/3.96 (define @t188 () (or @t113 @t185 @t187)) % 3.73/3.96 (define @t189 () (not @t185)) % 3.73/3.96 (define @t190 () (not @t187)) % 3.73/3.96 (assume @p1 (forall @t3 (=> @t2 true))) % 3.73/3.96 (assume @p2 @t4) % 3.73/3.96 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 3.73/3.96 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 3.73/3.96 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 3.73/3.96 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t11)))) % 3.73/3.96 (assume @p7 (forall @t17 (=> @t16 (= @t14 (tptp.sdtpldt0 @t1 @t13))))) % 3.73/3.96 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 3.73/3.96 (assume @p9 (forall @t9 (=> @t8 (= @t10 @t18)))) % 3.73/3.96 (assume @p10 (forall @t17 (=> @t16 (= (tptp.sdtasdt0 @t10 @t12) (tptp.sdtasdt0 @t1 @t19))))) % 3.73/3.96 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 3.73/3.96 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 3.73/3.96 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t10 @t21)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t18 @t20)))))) % 3.73/3.96 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t6 @t24) (= @t11 @t23)) @t22)))) % 3.73/3.96 (assume @p15 (forall @t3 (=> @t2 (=> @t28 (forall (@list @t5 @t12) (=> (and @t7 @t15) (=> (or @t26 @t25) @t22))))))) % 3.73/3.96 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t27 @t29))))) % 3.73/3.96 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t27 @t29))))) % 3.73/3.96 (assume @p18 (forall @t9 (=> @t8 (= @t32 (exists @t31 @t30))))) % 3.73/3.96 (assume @p19 (forall @t9 (=> @t8 (=> @t32 (forall @t31 (= (= @t12 (tptp.sdtmndt0 @t5 @t1)) @t30)))))) % 3.73/3.96 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 3.73/3.96 (assume @p21 (forall @t9 (=> @t8 (=> (and @t32 @t34) @t33)))) % 3.73/3.96 (assume @p22 (forall @t17 (=> @t16 (=> (and @t32 @t35) (tptp.sdtlseqdt0 @t1 @t12))))) % 3.73/3.96 (assume @p23 (forall @t9 (=> @t8 (or @t32 (and (not @t36) @t34))))) % 3.73/3.96 (assume @p24 (forall @t9 (=> @t8 (=> @t38 (forall @t31 (=> @t15 (and (not (= @t23 @t37)) (tptp.sdtlseqdt0 @t23 @t37) (not (= @t24 @t13)) (tptp.sdtlseqdt0 @t24 @t13)))))))) % 3.73/3.96 (assume @p25 (forall @t17 (=> @t16 (=> (and @t28 (not @t22) @t35) (and (not @t26) (tptp.sdtlseqdt0 @t10 @t21) (not @t25) (tptp.sdtlseqdt0 @t18 @t20)))))) % 3.73/3.96 (assume @p26 (forall @t3 (=> @t2 (or @t27 @t39 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 3.73/3.96 (assume @p27 (forall @t9 (=> @t8 (=> @t28 (tptp.sdtlseqdt0 @t5 @t18))))) % 3.73/3.96 (assume @p28 (forall @t9 (=> @t8 (=> @t40 true)))) % 3.73/3.96 (assume @p29 (forall @t9 (=> @t8 (=> @t38 @t40)))) % 3.73/3.96 (assume @p30 (forall @t9 (=> @t8 (= @t42 (exists @t31 @t41))))) % 3.73/3.96 (assume @p31 (forall @t9 (=> @t8 (=> @t44 (forall @t31 (= (= @t12 @t43) @t41)))))) % 3.73/3.96 (assume @p32 (forall @t17 (=> @t16 (=> (and @t42 (tptp.doDivides0 @t5 @t12)) @t45)))) % 3.73/3.96 (assume @p33 (forall @t17 (=> @t16 (=> (and @t42 @t45) @t46)))) % 3.73/3.96 (assume @p34 (forall @t17 (=> @t16 (=> (and @t42 @t46) @t45)))) % 3.73/3.96 (assume @p35 (forall @t9 (=> @t8 (=> (and @t42 (not @t29)) @t32)))) % 3.73/3.96 (assume @p36 (forall @t9 (=> @t8 (=> @t44 (forall @t31 (=> @t15 (= (tptp.sdtasdt0 @t12 @t43) (tptp.sdtsldt0 (tptp.sdtasdt0 @t12 @t5) @t1)))))))) % 3.73/3.96 (assume @p37 (forall @t3 (=> @t2 (= @t51 (and @t28 @t50 (forall @t49 (=> (and @t7 @t48) @t47))))))) % 3.73/3.96 (assume @p38 @t57) % 3.73/3.96 (assume @p39 (and (tptp.aNaturalNumber0 tptp.xn) (tptp.aNaturalNumber0 tptp.xm) (tptp.aNaturalNumber0 tptp.xp))) % 3.73/3.96 (assume @p40 (forall @t17 (=> @t16 (=> (and (or (and (not (= @t12 tptp.sz00)) (not (= @t12 tptp.sz10)) (forall @t61 (=> (and @t60 (exists (@list @t62) (and (tptp.aNaturalNumber0 @t62) (= @t12 (tptp.sdtasdt0 @t58 @t62)))) (tptp.doDivides0 @t58 @t12)) (or (= @t58 tptp.sz10) (= @t58 @t12))))) (tptp.isPrime0 @t12)) (or (exists @t61 (and @t60 (= @t10 @t59))) (tptp.doDivides0 @t12 @t10))) (=> (tptp.iLess0 @t14 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists @t61 (and @t60 (= @t1 @t59))) (tptp.doDivides0 @t12 @t1)) (and (exists @t61 (and @t60 (= @t5 @t59))) (tptp.doDivides0 @t12 @t5)))))))) % 3.73/3.96 (assume @p41 (and (not (= tptp.xp tptp.sz00)) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t49 (and @t7 (= tptp.xp @t10))) (tptp.doDivides0 @t1 tptp.xp))) (or @t39 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp) (exists @t3 (and @t2 (= @t63 (tptp.sdtasdt0 tptp.xp @t1)))) (tptp.doDivides0 tptp.xp @t63))) % 3.73/3.96 (assume @p42 (not (or (exists @t3 (and @t2 (= @t64 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 3.73/3.96 (assume @p43 (not (or (exists @t3 (and @t2 (= @t64 tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm)))) % 3.73/3.96 (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))) % 3.73/3.96 (assume @p45 (and @t65 (= @t63 (tptp.sdtasdt0 tptp.xp tptp.xk)) (= tptp.xk (tptp.sdtsldt0 @t63 tptp.xp)))) % 3.73/3.96 (assume @p46 @t69) % 3.73/3.96 (assume @p47 (and (not @t67) (not @t66))) % 3.73/3.96 (assume @p48 @t84) % 3.73/3.96 (assume @p49 true) % 3.73/3.96 (step @p50 :rule aci_norm :args ((= (or (or @t90 @t27 @t39) @t89) @t91))) % 3.73/3.96 (step @p51 :rule refl :args (@t89)) % 3.73/3.96 (step @p52 :rule bool-double-not-elim :args (@t39)) % 3.73/3.96 (step @p53 :rule bool-double-not-elim :args (@t27)) % 3.73/3.96 (step @p54 :rule refl :args (@t90)) % 3.73/3.96 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t94)) % 3.73/3.96 (step @p56 :rule aci_norm :args ((= (or @t90 (or @t93 @t92)) @t94))) % 3.73/3.96 (step @p57 :rule trans :premises (@p56 @p55)) % 3.73/3.96 (step @p58 :rule bool-and-de-morgan :args (@t28 @t50 true)) % 3.73/3.96 (step @p59 :rule nary_cong :premises (@p54 @p58) :args ((or @t90 (not (and @t28 @t50))))) % 3.73/3.96 (step @p60 :rule bool-and-de-morgan :args (@t2 @t28 (and @t50))) % 3.73/3.96 (step @p61 :rule trans :premises (@p60 @p59)) % 3.73/3.96 (step @p62 :rule trans :premises (@p61 @p57)) % 3.73/3.96 (step @p63 :rule nary_cong :premises (@p62 @p51) :args ((or (not @t55) @t89))) % 3.73/3.96 (step @p64 :rule trans :premises (@p63 @p50)) % 3.73/3.96 (step @p65 :rule bool-impl-elim :args (@t55 @t89)) % 3.73/3.96 (step @p66 :rule trans :premises (@p65 @p64)) % 3.73/3.96 (step @p67 :rule cong :premises (@p66) :args ((forall @t3 (=> @t55 @t89)))) % 3.73/3.96 (step @p68 :rule aci_norm :args ((= (or @t87 (or @t86 @t85)) @t88))) % 3.73/3.96 (step @p69 :rule bool-and-de-morgan :args (@t48 @t52 true)) % 3.73/3.96 (step @p70 :rule refl :args (@t87)) % 3.73/3.96 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t87 (not (and @t48 @t52))))) % 3.73/3.96 (step @p72 :rule bool-and-de-morgan :args (@t7 @t48 (and @t52))) % 3.73/3.96 (step @p73 :rule trans :premises (@p72 @p71)) % 3.73/3.96 (step @p74 :rule trans :premises (@p73 @p68)) % 3.73/3.96 (step @p75 :rule cong :premises (@p74) :args (@t95)) % 3.73/3.96 (step @p76 :rule cong :premises (@p75) :args (@t96)) % 3.73/3.96 (step @p77 :rule exists-elim :args ((= @t54 @t96))) % 3.73/3.96 (step @p78 :rule trans :premises (@p77 @p76)) % 3.73/3.96 (step @p79 :rule refl :args (@t55)) % 3.73/3.96 (step @p80 :rule cong :premises (@p79 @p78) :args (@t56)) % 3.73/3.96 (step @p81 :rule cong :premises (@p80) :args (@t57)) % 3.73/3.96 (step @p82 :rule trans :premises (@p81 @p67)) % 3.73/3.96 (step @p83 :rule eq_resolve :premises (@p38 @p82)) % 3.73/3.96 (step @p84 :rule refl :args (@t98)) % 3.73/3.96 (step @p85 :rule eq-symm :args (tptp.xk tptp.sz10)) % 3.73/3.96 (step @p86 :rule eq-symm :args (tptp.xk tptp.sz00)) % 3.73/3.96 (step @p87 :rule refl :args (@t99)) % 3.73/3.96 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84) :args (@t100)) % 3.73/3.96 (step @p89 :rule refl :args (@t101)) % 3.73/3.96 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t101 @t100))) % 3.73/3.96 (assume-push @p288 @t101) % 3.73/3.96 (step @p92 :rule instantiate :premises (@p83) :args ((@list tptp.xk))) % 3.73/3.96 (step-pop @p289 :rule scope :premises (@p92)) % 3.73/3.96 (step @p93 :rule process_scope :premises (@p289) :args (@t100)) % 3.73/3.96 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 3.73/3.96 (step @p96 :rule implies_elim :premises (@p95)) % 3.73/3.96 (step @p97 :rule chain_m_resolution :premises (@p96 @p83) :args (@t104 @t105 (@list @t101))) % 3.73/3.96 (step @p98 :rule and_elim :premises (@p45) :args (0)) % 3.73/3.96 (step @p99 :rule nary_cong :premises (@p86 @p85) :args (@t68)) % 3.73/3.96 (step @p100 :rule cong :premises (@p99) :args (@t69)) % 3.73/3.96 (step @p101 :rule eq_resolve :premises (@p46 @p100)) % 3.73/3.96 (step @p102 :rule not_or_elim :premises (@p101) :args (0)) % 3.73/3.96 (step @p103 :rule not_or_elim :premises (@p101) :args (1)) % 3.73/3.96 (step @p104 :rule cnf_or_pos :args (@t104)) % 3.73/3.96 (step @p105 :rule reordering :premises (@p104) :args ((or @t102 @t103 @t99 @t98 (not @t104)))) % 3.73/3.96 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p102 @p98 @p97) :args (@t98 @t106 (@list @t102 @t103 @t65 @t104))) % 3.73/3.96 (step @p107 :rule skolemize :premises (@p106)) % 3.73/3.96 (step @p108 :rule bool-double-not-elim :args (@t108)) % 3.73/3.96 (step @p109 :rule refl :args (@t114)) % 3.73/3.96 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t114 (not @t113)))) % 3.73/3.96 (step @p111 :rule cnf_or_neg :args (@t114 0)) % 3.73/3.96 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 3.73/3.96 (step @p113 :rule reordering :premises (@p112) :args ((or @t108 @t114))) % 3.73/3.96 (step @p114 :rule chain_m_resolution :premises (@p113 @p107) :args (@t108 @t115 @t116)) % 3.73/3.96 (step @p115 :rule bool-double-not-elim :args (@t133)) % 3.73/3.96 (step @p116 :rule refl :args (@t127)) % 3.73/3.96 (step @p117 :rule refl :args (@t128)) % 3.73/3.96 (step @p118 :rule eq-symm :args (@t130 tptp.xk)) % 3.73/3.96 (step @p119 :rule cong :premises (@p118) :args (@t134)) % 3.73/3.96 (step @p120 :rule refl :args (@t131)) % 3.73/3.96 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t135)) % 3.73/3.96 (step @p122 :rule nary_cong :premises (@p121 @p117) :args (@t136)) % 3.73/3.96 (step @p123 :rule refl :args (@t90)) % 3.73/3.96 (step @p124 :rule nary_cong :premises (@p123 @p122 @p116) :args (@t137)) % 3.73/3.96 (step @p125 :rule cong :premises (@p124) :args (@t138)) % 3.73/3.96 (step @p126 :rule quant-merge-prenex :args ((= (forall @t3 @t140) @t138))) % 3.73/3.96 (step @p127 :rule refl :args (@t127)) % 3.73/3.96 (step @p128 :rule quant-unused-vars :args ((= @t141 @t128))) % 3.73/3.96 (step @p129 :rule alpha_equiv :args (@t142 (@list @t129) (@list @t5))) % 3.73/3.96 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t143)) % 3.73/3.96 (step @p131 :rule quant-miniscope-and :args ((= @t144 @t143))) % 3.73/3.96 (step @p132 :rule trans :premises (@p131 @p130)) % 3.73/3.96 (step @p133 :rule nary_cong :premises (@p54 @p132 @p127) :args (@t145)) % 3.73/3.96 (step @p134 :rule quant-miniscope-or :args ((= @t140 @t145))) % 3.73/3.96 (step @p135 :rule trans :premises (@p134 @p133)) % 3.73/3.96 (step @p136 :rule symm :premises (@p135)) % 3.73/3.96 (step @p137 :rule cong :premises (@p136) :args ((forall @t3 (or @t90 (and @t147 @t128) @t127)))) % 3.73/3.96 (step @p138 :rule trans :premises (@p137 @p126)) % 3.73/3.96 (step @p139 :rule trans :premises (@p138 @p125)) % 3.73/3.96 (step @p140 :rule refl :args (@t117)) % 3.73/3.96 (step @p141 :rule refl :args (@t126)) % 3.73/3.96 (step @p142 :rule nary_cong :premises (@p53 @p52 @p141) :args (@t148)) % 3.73/3.96 (step @p143 :rule aci_norm :args ((= (or @t93 (or @t92 @t126)) @t148))) % 3.73/3.96 (step @p144 :rule trans :premises (@p143 @p142)) % 3.73/3.96 (step @p145 :rule bool-and-de-morgan :args (@t50 @t125 true)) % 3.73/3.96 (step @p146 :rule refl :args (@t93)) % 3.73/3.96 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t93 (not (and @t50 @t125))))) % 3.73/3.96 (step @p148 :rule bool-and-de-morgan :args (@t28 @t50 (and @t125))) % 3.73/3.96 (step @p149 :rule trans :premises (@p148 @p147)) % 3.73/3.96 (step @p150 :rule trans :premises (@p149 @p144)) % 3.73/3.96 (step @p151 :rule nary_cong :premises (@p150 @p140) :args ((and (not @t149) @t117))) % 3.73/3.96 (step @p152 :rule bool-or-de-morgan :args (@t149 @t51 false)) % 3.73/3.96 (step @p153 :rule trans :premises (@p152 @p151)) % 3.73/3.96 (step @p154 :rule refl :args (@t128)) % 3.73/3.96 (step @p155 :rule bool-double-not-elim :args (@t147)) % 3.73/3.96 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((and (not @t150) @t128))) % 3.73/3.96 (step @p157 :rule bool-or-de-morgan :args (@t150 @t78 false)) % 3.73/3.96 (step @p158 :rule trans :premises (@p157 @p156)) % 3.73/3.96 (step @p159 :rule nary_cong :premises (@p54 @p158 @p153) :args (@t155)) % 3.73/3.96 (step @p160 :rule aci_norm :args ((= (or @t90 (or @t154 @t152)) @t155))) % 3.73/3.96 (step @p161 :rule bool-and-de-morgan :args (@t153 @t151 true)) % 3.73/3.96 (step @p162 :rule nary_cong :premises (@p54 @p161) :args ((or @t90 (not (and @t153 @t151))))) % 3.73/3.96 (step @p163 :rule bool-and-de-morgan :args (@t2 @t153 (and @t151))) % 3.73/3.96 (step @p164 :rule trans :premises (@p163 @p162)) % 3.73/3.96 (step @p165 :rule trans :premises (@p164 @p160)) % 3.73/3.96 (step @p166 :rule trans :premises (@p165 @p159)) % 3.73/3.96 (step @p167 :rule cong :premises (@p166) :args (@t157)) % 3.73/3.96 (step @p168 :rule trans :premises (@p167 @p139)) % 3.73/3.96 (step @p169 :rule cong :premises (@p168) :args (@t158)) % 3.73/3.96 (step @p170 :rule exists-elim :args ((= (exists @t3 @t156) @t158))) % 3.73/3.96 (step @p171 :rule trans :premises (@p170 @p169)) % 3.73/3.96 (step @p172 :rule refl :args (@t51)) % 3.73/3.96 (step @p173 :rule aci_norm :args ((= @t160 @t123))) % 3.73/3.96 (step @p174 :rule cong :premises (@p173) :args (@t161)) % 3.73/3.96 (step @p175 :rule quant-merge-prenex :args ((= (forall @t49 @t163) @t161))) % 3.73/3.96 (step @p176 :rule refl :args (@t33)) % 3.73/3.96 (step @p177 :rule refl :args (@t122)) % 3.73/3.96 (step @p178 :rule refl :args (@t86)) % 3.73/3.96 (step @p179 :rule alpha_equiv :args (@t164 (@list @t118) (@list @t12))) % 3.73/3.96 (step @p180 :rule nary_cong :premises (@p70 @p179 @p178 @p177 @p176) :args (@t165)) % 3.73/3.96 (step @p181 :rule quant-miniscope-or :args ((= @t163 @t165))) % 3.73/3.96 (step @p182 :rule trans :premises (@p181 @p180)) % 3.73/3.96 (step @p183 :rule symm :premises (@p182)) % 3.73/3.96 (step @p184 :rule cong :premises (@p183) :args ((forall @t49 @t167))) % 3.73/3.96 (step @p185 :rule trans :premises (@p184 @p175)) % 3.73/3.96 (step @p186 :rule trans :premises (@p185 @p174)) % 3.73/3.96 (step @p187 :rule aci_norm :args ((= (or (or @t87 @t166 @t86) @t168) @t167))) % 3.73/3.96 (step @p188 :rule refl :args (@t168)) % 3.73/3.96 (step @p189 :rule bool-double-not-elim :args (@t166)) % 3.73/3.96 (step @p190 :rule nary_cong :premises (@p70 @p189 @p178) :args (@t171)) % 3.73/3.96 (step @p191 :rule aci_norm :args ((= (or @t87 (or @t170 @t86)) @t171))) % 3.73/3.96 (step @p192 :rule trans :premises (@p191 @p190)) % 3.73/3.96 (step @p193 :rule bool-and-de-morgan :args (@t169 @t48 true)) % 3.73/3.96 (step @p194 :rule nary_cong :premises (@p70 @p193) :args ((or @t87 (not (and @t169 @t48))))) % 3.73/3.96 (step @p195 :rule bool-and-de-morgan :args (@t7 @t169 (and @t48))) % 3.73/3.96 (step @p196 :rule trans :premises (@p195 @p194)) % 3.73/3.96 (step @p197 :rule trans :premises (@p196 @p192)) % 3.73/3.96 (step @p198 :rule nary_cong :premises (@p197 @p188) :args ((or (not @t172) @t168))) % 3.73/3.96 (step @p199 :rule trans :premises (@p198 @p187)) % 3.73/3.96 (step @p200 :rule bool-impl-elim :args (@t172 @t168)) % 3.73/3.96 (step @p201 :rule trans :premises (@p200 @p199)) % 3.73/3.96 (step @p202 :rule cong :premises (@p201) :args ((forall @t49 (=> @t172 @t168)))) % 3.73/3.96 (step @p203 :rule trans :premises (@p202 @p186)) % 3.73/3.96 (step @p204 :rule eq-symm :args (@t5 @t1)) % 3.73/3.96 (step @p205 :rule eq-symm :args (@t5 tptp.sz10)) % 3.73/3.96 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t47)) % 3.73/3.96 (step @p207 :rule refl :args (@t48)) % 3.73/3.96 (step @p208 :rule bool-and-de-morgan :args (@t15 @t70 true)) % 3.73/3.96 (step @p209 :rule cong :premises (@p208) :args (@t173)) % 3.73/3.96 (step @p210 :rule cong :premises (@p209) :args (@t174)) % 3.73/3.96 (step @p211 :rule exists-elim :args ((= @t72 @t174))) % 3.73/3.96 (step @p212 :rule trans :premises (@p211 @p210)) % 3.73/3.96 (step @p213 :rule refl :args (@t7)) % 3.73/3.96 (step @p214 :rule nary_cong :premises (@p213 @p212 @p207) :args (@t73)) % 3.73/3.96 (step @p215 :rule cong :premises (@p214 @p206) :args (@t74)) % 3.73/3.96 (step @p216 :rule cong :premises (@p215) :args (@t75)) % 3.73/3.96 (step @p217 :rule trans :premises (@p216 @p203)) % 3.73/3.96 (step @p218 :rule refl :args (@t50)) % 3.73/3.96 (step @p219 :rule refl :args (@t28)) % 3.73/3.96 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217) :args (@t76)) % 3.73/3.96 (step @p221 :rule nary_cong :premises (@p220 @p172) :args (@t77)) % 3.73/3.96 (step @p222 :rule refl :args (@t78)) % 3.73/3.96 (step @p223 :rule bool-and-de-morgan :args (@t7 @t146 true)) % 3.73/3.96 (step @p224 :rule cong :premises (@p223) :args (@t176)) % 3.73/3.96 (step @p225 :rule cong :premises (@p224) :args (@t177)) % 3.73/3.96 (step @p226 :rule exists-elim :args ((= (exists @t49 @t175) @t177))) % 3.73/3.96 (step @p227 :rule trans :premises (@p226 @p225)) % 3.73/3.96 (step @p228 :rule eq-symm :args (tptp.xk @t10)) % 3.73/3.96 (step @p229 :rule nary_cong :premises (@p213 @p228) :args (@t79)) % 3.73/3.96 (step @p230 :rule cong :premises (@p229) :args (@t80)) % 3.73/3.96 (step @p231 :rule trans :premises (@p230 @p227)) % 3.73/3.96 (step @p232 :rule nary_cong :premises (@p231 @p222) :args (@t81)) % 3.73/3.96 (step @p233 :rule refl :args (@t2)) % 3.73/3.96 (step @p234 :rule nary_cong :premises (@p233 @p232 @p221) :args (@t82)) % 3.73/3.96 (step @p235 :rule cong :premises (@p234) :args (@t83)) % 3.73/3.96 (step @p236 :rule trans :premises (@p235 @p171)) % 3.73/3.96 (step @p237 :rule cong :premises (@p236) :args (@t84)) % 3.73/3.96 (step @p238 :rule trans :premises (@p237 @p115)) % 3.73/3.96 (step @p239 :rule eq_resolve :premises (@p48 @p238)) % 3.73/3.96 (step @p240 :rule refl :args (@t110)) % 3.73/3.96 (step @p241 :rule eq-symm :args (@t107 @t119)) % 3.73/3.96 (step @p242 :rule cong :premises (@p241) :args (@t178)) % 3.73/3.96 (step @p243 :rule refl :args (@t121)) % 3.73/3.96 (step @p244 :rule eq-symm :args (@t107 @t5)) % 3.73/3.96 (step @p245 :rule refl :args (@t122)) % 3.73/3.96 (step @p246 :rule refl :args (@t179)) % 3.73/3.96 (step @p247 :rule refl :args (@t87)) % 3.73/3.99 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245 @p244 @p243 @p242) :args (@t180)) % 3.73/3.99 (step @p249 :rule cong :premises (@p248) :args (@t181)) % 3.73/3.99 (step @p250 :rule cong :premises (@p249) :args (@t182)) % 3.73/3.99 (step @p251 :rule eq-symm :args (@t107 tptp.sz10)) % 3.73/3.99 (step @p252 :rule eq-symm :args (@t107 tptp.sz00)) % 3.73/3.99 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250) :args (@t183)) % 3.73/3.99 (step @p254 :rule nary_cong :premises (@p253 @p240) :args (@t184)) % 3.73/3.99 (step @p255 :rule refl :args (@t185)) % 3.73/3.99 (step @p256 :rule refl :args (@t113)) % 3.73/3.99 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254) :args (@t186)) % 3.73/3.99 (step @p258 :rule refl :args (@t133)) % 3.73/3.99 (step @p259 :rule cong :premises (@p258 @p257) :args ((=> @t133 @t186))) % 3.73/3.99 (assume-push @p290 @t133) % 3.73/3.99 (step @p261 :rule instantiate :premises (@p239) :args ((@list @t107 tptp.sz00))) % 3.73/3.99 (step-pop @p291 :rule scope :premises (@p261)) % 3.73/3.99 (step @p262 :rule process_scope :premises (@p291) :args (@t186)) % 3.73/3.99 (step @p264 :rule eq_resolve :premises (@p262 @p259)) % 3.73/3.99 (step @p265 :rule implies_elim :premises (@p264)) % 3.73/3.99 (step @p266 :rule chain_m_resolution :premises (@p265 @p239) :args (@t188 @t105 (@list @t133))) % 3.73/3.99 (step @p267 :rule bool-double-not-elim :args (@t111)) % 3.73/3.99 (step @p268 :rule nary_cong :premises (@p109 @p267) :args ((or @t114 (not @t112)))) % 3.73/3.99 (step @p269 :rule cnf_or_neg :args (@t114 1)) % 3.73/3.99 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 3.73/3.99 (step @p271 :rule reordering :premises (@p270) :args ((or @t111 @t114))) % 3.73/3.99 (step @p272 :rule chain_m_resolution :premises (@p271 @p107) :args (@t111 @t115 @t116)) % 3.73/3.99 (step @p273 :rule cnf_and_pos :args (@t185 1)) % 3.73/3.99 (step @p274 :rule reordering :premises (@p273) :args ((or @t112 @t189))) % 3.73/3.99 (step @p275 :rule chain_m_resolution :premises (@p274 @p272) :args (@t189 @t105 (@list @t111))) % 3.73/3.99 (step @p276 :rule bool-double-not-elim :args (@t109)) % 3.73/3.99 (step @p277 :rule nary_cong :premises (@p109 @p276) :args ((or @t114 (not @t110)))) % 3.73/3.99 (step @p278 :rule cnf_or_neg :args (@t114 2)) % 3.73/3.99 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 3.73/3.99 (step @p280 :rule reordering :premises (@p279) :args ((or @t109 @t114))) % 3.73/3.99 (step @p281 :rule chain_m_resolution :premises (@p280 @p107) :args (@t109 @t115 @t116)) % 3.73/3.99 (step @p282 :rule cnf_and_pos :args (@t187 1)) % 3.73/3.99 (step @p283 :rule reordering :premises (@p282) :args ((or @t110 @t190))) % 3.73/3.99 (step @p284 :rule chain_m_resolution :premises (@p283 @p281) :args (@t190 @t105 (@list @t109))) % 3.73/3.99 (step @p285 :rule cnf_or_pos :args (@t188)) % 3.73/3.99 (step @p286 :rule reordering :premises (@p285) :args ((or @t113 @t185 @t187 (not @t188)))) % 3.73/3.99 (step @p287 false :rule chain_m_resolution :premises (@p286 @p284 @p275 @p266 @p114) :args (false @t106 (@list @t187 @t185 @t188 @t108))) % 3.73/3.99 ) % 3.73/3.99 % SZS output end Proof % 3.73/3.99 % cvc5 exiting %------------------------------------------------------------------------------