%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM525+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 : n012.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 08:39:43 AM UTC 2026 % Result : Theorem 1.94s 2.17s % Output : Proof 1.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM525+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 11:28:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 1.94/2.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.94/2.17 % SZS status Theorem % 1.94/2.17 % SZS output start Proof % 1.94/2.17 ( % 1.94/2.17 (declare-sort $$unsorted 0) % 1.94/2.17 (declare-const tptp.xq $$unsorted) % 1.94/2.17 (declare-const tptp.xp $$unsorted) % 1.94/2.17 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 1.94/2.17 (declare-const tptp.sz10 $$unsorted) % 1.94/2.17 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.94/2.17 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.94/2.17 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 1.94/2.17 (declare-const tptp.sz00 $$unsorted) % 1.94/2.17 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.94/2.17 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.94/2.17 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.94/2.17 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 1.94/2.17 (declare-const tptp.xn $$unsorted) % 1.94/2.17 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 1.94/2.17 (declare-const tptp.xm $$unsorted) % 1.94/2.17 (define @t1 () (@var "W0" $$unsorted)) % 1.94/2.17 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 1.94/2.17 (define @t3 () (@list @t1)) % 1.94/2.17 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 1.94/2.17 (define @t5 () (@var "W1" $$unsorted)) % 1.94/2.17 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 1.94/2.17 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 1.94/2.17 (define @t8 () (and @t2 @t7)) % 1.94/2.17 (define @t9 () (@list @t1 @t5)) % 1.94/2.17 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 1.94/2.17 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 1.94/2.17 (define @t12 () (@var "W2" $$unsorted)) % 1.94/2.17 (define @t13 () (tptp.sdtpldt0 @t5 @t12)) % 1.94/2.17 (define @t14 () (tptp.aNaturalNumber0 @t12)) % 1.94/2.17 (define @t15 () (and @t2 @t7 @t14)) % 1.94/2.17 (define @t16 () (@list @t1 @t5 @t12)) % 1.94/2.17 (define @t17 () (tptp.sdtasdt0 @t5 @t1)) % 1.94/2.17 (define @t18 () (= @t10 @t17)) % 1.94/2.17 (define @t19 () (forall @t9 (=> @t8 @t18))) % 1.94/2.17 (define @t20 () (= (tptp.sdtasdt0 @t10 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t12)))) % 1.94/2.17 (define @t21 () (forall @t16 (=> @t15 @t20))) % 1.94/2.17 (define @t22 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 1.94/2.17 (define @t23 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 1.94/2.17 (define @t24 () (and (= @t23 @t1) @t22)) % 1.94/2.17 (define @t25 () (=> @t2 @t24)) % 1.94/2.17 (define @t26 () (forall @t3 @t25)) % 1.94/2.17 (define @t27 () (tptp.sdtasdt0 @t12 @t1)) % 1.94/2.17 (define @t28 () (tptp.sdtasdt0 @t1 @t12)) % 1.94/2.17 (define @t29 () (= @t5 @t12)) % 1.94/2.17 (define @t30 () (tptp.sdtpldt0 @t12 @t1)) % 1.94/2.17 (define @t31 () (tptp.sdtpldt0 @t1 @t12)) % 1.94/2.17 (define @t32 () (= @t17 @t27)) % 1.94/2.17 (define @t33 () (= @t10 @t28)) % 1.94/2.17 (define @t34 () (and @t7 @t14)) % 1.94/2.17 (define @t35 () (= @t1 tptp.sz00)) % 1.94/2.17 (define @t36 () (not @t35)) % 1.94/2.17 (define @t37 () (= @t5 tptp.sz00)) % 1.94/2.17 (define @t38 () (and @t14 (= @t31 @t5))) % 1.94/2.17 (define @t39 () (@list @t12)) % 1.94/2.17 (define @t40 () (tptp.sdtlseqdt0 @t1 @t5)) % 1.94/2.17 (define @t41 () (= @t1 @t5)) % 1.94/2.17 (define @t42 () (tptp.sdtlseqdt0 @t5 @t1)) % 1.94/2.17 (define @t43 () (tptp.sdtlseqdt0 @t5 @t12)) % 1.94/2.17 (define @t44 () (= @t5 @t1)) % 1.94/2.17 (define @t45 () (not @t44)) % 1.94/2.17 (define @t46 () (and @t45 @t42)) % 1.94/2.17 (define @t47 () (or @t40 @t46)) % 1.94/2.17 (define @t48 () (=> @t8 @t47)) % 1.94/2.17 (define @t49 () (forall @t9 @t48)) % 1.94/2.17 (define @t50 () (tptp.sdtpldt0 @t12 @t5)) % 1.94/2.17 (define @t51 () (not @t41)) % 1.94/2.17 (define @t52 () (and @t51 @t40)) % 1.94/2.17 (define @t53 () (and (not @t33) (tptp.sdtlseqdt0 @t10 @t28) (not @t32) (tptp.sdtlseqdt0 @t17 @t27))) % 1.94/2.17 (define @t54 () (not @t29)) % 1.94/2.17 (define @t55 () (and @t36 @t54 @t43)) % 1.94/2.17 (define @t56 () (=> @t55 @t53)) % 1.94/2.17 (define @t57 () (forall @t16 (=> @t15 @t56))) % 1.94/2.17 (define @t58 () (= @t1 tptp.sz10)) % 1.94/2.17 (define @t59 () (tptp.iLess0 @t1 @t5)) % 1.94/2.17 (define @t60 () (and @t14 (= @t5 @t28))) % 1.94/2.17 (define @t61 () (tptp.doDivides0 @t1 @t5)) % 1.94/2.17 (define @t62 () (tptp.sdtsldt0 @t5 @t1)) % 1.94/2.17 (define @t63 () (and @t36 @t61)) % 1.94/2.17 (define @t64 () (tptp.doDivides0 @t1 @t12)) % 1.94/2.17 (define @t65 () (tptp.doDivides0 @t1 @t13)) % 1.94/2.17 (define @t66 () (not @t37)) % 1.94/2.17 (define @t67 () (tptp.doDivides0 @t5 @t1)) % 1.94/2.17 (define @t68 () (@list @t5)) % 1.94/2.17 (define @t69 () (not @t58)) % 1.94/2.17 (define @t70 () (tptp.isPrime0 @t12)) % 1.94/2.17 (define @t71 () (= tptp.xp tptp.sz00)) % 1.94/2.17 (define @t72 () (tptp.aNaturalNumber0 tptp.xp)) % 1.94/2.17 (define @t73 () (tptp.aNaturalNumber0 tptp.xn)) % 1.94/2.17 (define @t74 () (@var "W3" $$unsorted)) % 1.94/2.17 (define @t75 () (@var "W4" $$unsorted)) % 1.94/2.17 (define @t76 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 1.94/2.17 (define @t77 () (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 tptp.xm tptp.xm))) % 1.94/2.17 (define @t78 () (= @t77 @t76)) % 1.94/2.17 (define @t79 () (tptp.sdtasdt0 tptp.xp @t1)) % 1.94/2.17 (define @t80 () (= tptp.xn @t79)) % 1.94/2.17 (define @t81 () (and @t2 @t80)) % 1.94/2.17 (define @t82 () (exists @t3 @t81)) % 1.94/2.17 (define @t83 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 1.94/2.17 (define @t84 () (= tptp.xn @t83)) % 1.94/2.17 (define @t85 () (tptp.aNaturalNumber0 tptp.xq)) % 1.94/2.17 (define @t86 () (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 tptp.xq tptp.xq))) % 1.94/2.17 (define @t87 () (= @t77 (tptp.sdtasdt0 tptp.xp @t86))) % 1.94/2.17 (define @t88 () (forall @t3 (not @t81))) % 1.94/2.17 (define @t89 () (not @t88)) % 1.94/2.17 (define @t90 () (not @t2)) % 1.94/2.17 (define @t91 () (@quantifiers_skolemize (forall @t3 (or @t90 (not @t80))) 0)) % 1.94/2.17 (define @t92 () (tptp.aNaturalNumber0 @t91)) % 1.94/2.17 (define @t93 () (tptp.sdtasdt0 tptp.xp @t91)) % 1.94/2.17 (define @t94 () (= tptp.xn @t93)) % 1.94/2.17 (define @t95 () (not @t94)) % 1.94/2.17 (define @t96 () (not @t92)) % 1.94/2.17 (define @t97 () (or @t96 @t95)) % 1.94/2.17 (define @t98 () (@list true)) % 1.94/2.17 (define @t99 () (@list @t97)) % 1.94/2.17 (define @t100 () (not @t43)) % 1.94/2.17 (define @t101 () (not @t14)) % 1.94/2.17 (define @t102 () (not @t7)) % 1.94/2.17 (define @t103 () (or @t90 @t102 @t101 @t35 @t29 @t100 @t53)) % 1.94/2.17 (define @t104 () (or @t35 @t29 @t100 @t53)) % 1.94/2.17 (define @t105 () (or @t90 @t102 @t101)) % 1.94/2.17 (define @t106 () (not @t54)) % 1.94/2.17 (define @t107 () (not @t36)) % 1.94/2.17 (define @t108 () (or @t107 @t106 @t100)) % 1.94/2.17 (define @t109 () (not @t15)) % 1.94/2.17 (define @t110 () (tptp.sdtasdt0 @t91 tptp.xp)) % 1.94/2.17 (define @t111 () (tptp.sdtasdt0 tptp.xq tptp.xp)) % 1.94/2.17 (define @t112 () (= @t111 @t110)) % 1.94/2.17 (define @t113 () (not @t112)) % 1.94/2.17 (define @t114 () (not (= @t83 @t93))) % 1.94/2.17 (define @t115 () (and @t114 (tptp.sdtlseqdt0 @t83 @t93) @t113 (tptp.sdtlseqdt0 @t111 @t110))) % 1.94/2.17 (define @t116 () (tptp.sdtlseqdt0 tptp.xq @t91)) % 1.94/2.17 (define @t117 () (not @t116)) % 1.94/2.17 (define @t118 () (= tptp.xq @t91)) % 1.94/2.17 (define @t119 () (not @t85)) % 1.94/2.17 (define @t120 () (not @t72)) % 1.94/2.17 (define @t121 () (or @t120 @t119 @t96 @t71 @t118 @t117 @t115)) % 1.94/2.17 (define @t122 () (forall @t16 @t103)) % 1.94/2.17 (define @t123 () (= tptp.sz00 tptp.xp)) % 1.94/2.17 (define @t124 () (or @t120 @t119 @t96 @t123 @t118 @t117 @t115)) % 1.94/2.17 (define @t125 () (@list false)) % 1.94/2.17 (define @t126 () (@list @t122)) % 1.94/2.17 (define @t127 () (or @t90 @t102)) % 1.94/2.17 (define @t128 () (not @t8)) % 1.94/2.17 (define @t129 () (= @t93 @t110)) % 1.94/2.17 (define @t130 () (or @t120 @t96 @t129)) % 1.94/2.17 (define @t131 () (@list false false false)) % 1.94/2.17 (define @t132 () (= @t83 @t111)) % 1.94/2.17 (define @t133 () (or @t120 @t119 @t132)) % 1.94/2.17 (define @t134 () (not @t115)) % 1.94/2.17 (define @t135 () (@list @t112)) % 1.94/2.17 (define @t136 () (or @t90 @t102 @t101 @t20)) % 1.94/2.17 (define @t137 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 1.94/2.17 (define @t138 () (tptp.sdtasdt0 tptp.xn @t137)) % 1.94/2.17 (define @t139 () (tptp.sdtasdt0 tptp.xn tptp.xp)) % 1.94/2.17 (define @t140 () (tptp.sdtasdt0 @t139 tptp.sz10)) % 1.94/2.17 (define @t141 () (= @t140 @t138)) % 1.94/2.17 (define @t142 () (not @t4)) % 1.94/2.17 (define @t143 () (not @t73)) % 1.94/2.17 (define @t144 () (or @t143 @t120 @t142 @t141)) % 1.94/2.17 (define @t145 () (@list false false false false)) % 1.94/2.17 (define @t146 () (tptp.aNaturalNumber0 @t83)) % 1.94/2.17 (define @t147 () (tptp.sdtasdt0 @t83 tptp.xq)) % 1.94/2.17 (define @t148 () (tptp.sdtasdt0 tptp.xp @t147)) % 1.94/2.17 (define @t149 () (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xp @t83) tptp.xq) @t148)) % 1.94/2.17 (define @t150 () (not @t146)) % 1.94/2.17 (define @t151 () (or @t120 @t150 @t119 @t149)) % 1.94/2.17 (define @t152 () (tptp.sdtasdt0 tptp.xp tptp.xn)) % 1.94/2.17 (define @t153 () (= @t139 @t152)) % 1.94/2.17 (define @t154 () (or @t143 @t120 @t153)) % 1.94/2.17 (define @t155 () (and (= @t1 @t23) @t22)) % 1.94/2.17 (define @t156 () (= tptp.xp @t137)) % 1.94/2.17 (define @t157 () (and @t156 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp)))) % 1.94/2.17 (define @t158 () (or @t120 @t157)) % 1.94/2.17 (define @t159 () (or @t120 @t119 @t119 (= @t147 @t86))) % 1.94/2.17 (define @t160 () (forall @t16 @t136)) % 1.94/2.17 (define @t161 () (= @t86 @t147)) % 1.94/2.17 (define @t162 () (or @t120 @t119 @t119 @t161)) % 1.94/2.17 (define @t163 () (tptp.sdtasdt0 @t139 @t91)) % 1.94/2.17 (define @t164 () (= @t163 (tptp.sdtasdt0 tptp.xn @t93))) % 1.94/2.17 (define @t165 () (or @t143 @t120 @t96 @t164)) % 1.94/2.17 (define @t166 () (and @t78 @t84 @t94 @t164 @t161 @t156 @t153 @t149 @t141 @t118)) % 1.94/2.17 (define @t167 () (not @t118)) % 1.94/2.17 (define @t168 () (@list true false false false true true false)) % 1.94/2.17 (define @t169 () (tptp.sdtlseqdt0 @t110 @t111)) % 1.94/2.17 (define @t170 () (not (= @t110 @t111))) % 1.94/2.17 (define @t171 () (tptp.sdtlseqdt0 @t93 @t83)) % 1.94/2.17 (define @t172 () (not (= @t93 @t83))) % 1.94/2.17 (define @t173 () (and @t172 @t171 @t170 @t169)) % 1.94/2.17 (define @t174 () (tptp.sdtlseqdt0 @t91 tptp.xq)) % 1.94/2.17 (define @t175 () (not @t174)) % 1.94/2.17 (define @t176 () (or @t120 @t96 @t119 @t71 (= @t91 tptp.xq) @t175 @t173)) % 1.94/2.17 (define @t177 () (and @t114 @t171 @t113 @t169)) % 1.94/2.17 (define @t178 () (or @t120 @t96 @t119 @t123 @t118 @t175 @t177)) % 1.94/2.17 (define @t179 () (not @t177)) % 1.94/2.17 (define @t180 () (and @t167 @t174)) % 1.94/2.17 (define @t181 () (not @t180)) % 1.94/2.17 (define @t182 () (and @t51 @t42)) % 1.94/2.17 (define @t183 () (or @t40 @t182)) % 1.94/2.17 (define @t184 () (or @t119 @t96 @t116 @t180)) % 1.94/2.17 (assume @p1 (forall @t3 (=> @t2 true))) % 1.94/2.17 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 1.94/2.17 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 1.94/2.17 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 1.94/2.17 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 1.94/2.17 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t11)))) % 1.94/2.17 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t6 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 1.94/2.17 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 1.94/2.17 (assume @p9 @t19) % 1.94/2.17 (assume @p10 @t21) % 1.94/2.17 (assume @p11 @t26) % 1.94/2.17 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 1.94/2.17 (assume @p13 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t10 @t28)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t17 @t27)))))) % 1.94/2.17 (assume @p14 (forall @t16 (=> @t15 (=> (or (= @t6 @t31) (= @t11 @t30)) @t29)))) % 1.94/2.17 (assume @p15 (forall @t3 (=> @t2 (=> @t36 (forall (@list @t5 @t12) (=> @t34 (=> (or @t33 @t32) @t29))))))) % 1.94/2.17 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t35 @t37))))) % 1.94/2.17 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t35 @t37))))) % 1.94/2.17 (assume @p18 (forall @t9 (=> @t8 (= @t40 (exists @t39 @t38))))) % 1.94/2.17 (assume @p19 (forall @t9 (=> @t8 (=> @t40 (forall @t39 (= (= @t12 (tptp.sdtmndt0 @t5 @t1)) @t38)))))) % 1.94/2.17 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.94/2.17 (assume @p21 (forall @t9 (=> @t8 (=> (and @t40 @t42) @t41)))) % 1.94/2.17 (assume @p22 (forall @t16 (=> @t15 (=> (and @t40 @t43) (tptp.sdtlseqdt0 @t1 @t12))))) % 1.94/2.17 (assume @p23 @t49) % 1.94/2.17 (assume @p24 (forall @t9 (=> @t8 (=> @t52 (forall @t39 (=> @t14 (and (not (= @t30 @t50)) (tptp.sdtlseqdt0 @t30 @t50) (not (= @t31 @t13)) (tptp.sdtlseqdt0 @t31 @t13)))))))) % 1.94/2.17 (assume @p25 @t57) % 1.94/2.17 (assume @p26 (forall @t3 (=> @t2 (or @t35 @t58 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 1.94/2.17 (assume @p27 (forall @t9 (=> @t8 (=> @t36 (tptp.sdtlseqdt0 @t5 @t17))))) % 1.94/2.17 (assume @p28 (forall @t9 (=> @t8 (=> @t59 true)))) % 1.94/2.17 (assume @p29 (forall @t9 (=> @t8 (=> @t52 @t59)))) % 1.94/2.17 (assume @p30 (forall @t9 (=> @t8 (= @t61 (exists @t39 @t60))))) % 1.94/2.17 (assume @p31 (forall @t9 (=> @t8 (=> @t63 (forall @t39 (= (= @t12 @t62) @t60)))))) % 1.94/2.17 (assume @p32 (forall @t16 (=> @t15 (=> (and @t61 (tptp.doDivides0 @t5 @t12)) @t64)))) % 1.94/2.17 (assume @p33 (forall @t16 (=> @t15 (=> (and @t61 @t64) @t65)))) % 1.94/2.17 (assume @p34 (forall @t16 (=> @t15 (=> (and @t61 @t65) @t64)))) % 1.94/2.17 (assume @p35 (forall @t9 (=> @t8 (=> (and @t61 @t66) @t40)))) % 1.94/2.17 (assume @p36 (forall @t9 (=> @t8 (=> @t63 (forall @t39 (=> @t14 (= (tptp.sdtasdt0 @t12 @t62) (tptp.sdtsldt0 (tptp.sdtasdt0 @t12 @t5) @t1)))))))) % 1.94/2.17 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t36 @t69 (forall @t68 (=> (and @t7 @t67) (or (= @t5 tptp.sz10) @t44)))))))) % 1.94/2.17 (assume @p38 (forall @t3 (=> (and @t2 @t36 @t69) (exists @t68 (and @t7 @t67 (tptp.isPrime0 @t5)))))) % 1.94/2.17 (assume @p39 (forall @t16 (=> @t15 (=> (and @t70 (tptp.doDivides0 @t12 @t10)) (or (tptp.doDivides0 @t12 @t1) (tptp.doDivides0 @t12 @t5)))))) % 1.94/2.17 (assume @p40 (and @t73 (tptp.aNaturalNumber0 tptp.xm) @t72 (not (= tptp.xn tptp.sz00)) (not (= tptp.xm tptp.sz00)) (not @t71))) % 1.94/2.17 (assume @p41 (forall @t16 (=> (and @t2 @t7 @t14 @t36 @t66 (not (= @t12 tptp.sz00))) (=> (= (tptp.sdtasdt0 @t12 (tptp.sdtasdt0 @t5 @t5)) (tptp.sdtasdt0 @t1 @t1)) (=> (tptp.iLess0 @t1 tptp.xn) (not (or (and (not (= @t12 tptp.sz10)) (forall (@list @t74) (=> (and (tptp.aNaturalNumber0 @t74) (exists (@list @t75) (and (tptp.aNaturalNumber0 @t75) (= @t12 (tptp.sdtasdt0 @t74 @t75)))) (tptp.doDivides0 @t74 @t12)) (or (= @t74 tptp.sz10) (= @t74 @t12))))) @t70))))))) % 1.94/2.17 (assume @p42 @t78) % 1.94/2.17 (assume @p43 (and (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t68 (and @t7 (= tptp.xp @t10))) (tptp.doDivides0 @t1 tptp.xp))) (or @t58 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp))) % 1.94/2.17 (assume @p44 (and (exists @t3 (and @t2 (= @t76 @t79))) (tptp.doDivides0 tptp.xp @t76) @t82 (tptp.doDivides0 tptp.xp tptp.xn))) % 1.94/2.17 (assume @p45 (and @t85 @t84 (= tptp.xq (tptp.sdtsldt0 tptp.xn tptp.xp)))) % 1.94/2.17 (assume @p46 (not @t87)) % 1.94/2.17 (assume @p47 true) % 1.94/2.17 (step @p48 :rule and_elim :premises (@p45) :args (0)) % 1.94/2.17 (step @p49 :rule bool-and-de-morgan :args (@t2 @t80 true)) % 1.94/2.17 (step @p50 :rule cong :premises (@p49) :args (@t88)) % 1.94/2.17 (step @p51 :rule cong :premises (@p50) :args (@t89)) % 1.94/2.17 (step @p52 :rule exists-elim :args ((= @t82 @t89))) % 1.94/2.17 (step @p53 :rule trans :premises (@p52 @p51)) % 1.94/2.17 (step @p54 :rule and_elim :premises (@p44) :args (2)) % 1.94/2.17 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 1.94/2.17 (step @p56 :rule skolemize :premises (@p55)) % 1.94/2.17 (step @p57 :rule bool-double-not-elim :args (@t92)) % 1.94/2.17 (step @p58 :rule refl :args (@t97)) % 1.94/2.17 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t97 (not @t96)))) % 1.94/2.17 (step @p60 :rule cnf_or_neg :args (@t97 0)) % 1.94/2.17 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 1.94/2.17 (step @p62 :rule reordering :premises (@p61) :args ((or @t92 @t97))) % 1.94/2.17 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t92 @t98 @t99)) % 1.94/2.17 (step @p64 :rule aci_norm :args ((= (or @t105 @t104) @t103))) % 1.94/2.17 (step @p65 :rule aci_norm :args ((= (or (or @t35 @t29 @t100) @t53) @t104))) % 1.94/2.17 (step @p66 :rule refl :args (@t53)) % 1.94/2.17 (step @p67 :rule refl :args (@t100)) % 1.94/2.17 (step @p68 :rule bool-double-not-elim :args (@t29)) % 1.94/2.17 (step @p69 :rule bool-double-not-elim :args (@t35)) % 1.94/2.17 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args (@t108)) % 1.94/2.17 (step @p71 :rule aci_norm :args ((= (or @t107 (or @t106 @t100)) @t108))) % 1.94/2.17 (step @p72 :rule trans :premises (@p71 @p70)) % 1.94/2.17 (step @p73 :rule bool-and-de-morgan :args (@t54 @t43 true)) % 1.94/2.17 (step @p74 :rule refl :args (@t107)) % 1.94/2.17 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t107 (not (and @t54 @t43))))) % 1.94/2.17 (step @p76 :rule bool-and-de-morgan :args (@t36 @t54 (and @t43))) % 1.94/2.17 (step @p77 :rule trans :premises (@p76 @p75)) % 1.94/2.17 (step @p78 :rule trans :premises (@p77 @p72)) % 1.94/2.17 (step @p79 :rule nary_cong :premises (@p78 @p66) :args ((or (not @t55) @t53))) % 1.94/2.17 (step @p80 :rule trans :premises (@p79 @p65)) % 1.94/2.17 (step @p81 :rule bool-impl-elim :args (@t55 @t53)) % 1.94/2.17 (step @p82 :rule trans :premises (@p81 @p80)) % 1.94/2.17 (step @p83 :rule aci_norm :args ((= (or @t90 (or @t102 @t101)) @t105))) % 1.94/2.17 (step @p84 :rule bool-and-de-morgan :args (@t7 @t14 true)) % 1.94/2.17 (step @p85 :rule refl :args (@t90)) % 1.94/2.17 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t90 (not @t34)))) % 1.94/2.17 (step @p87 :rule bool-and-de-morgan :args (@t2 @t7 (and @t14))) % 1.94/2.17 (step @p88 :rule trans :premises (@p87 @p86)) % 1.94/2.17 (step @p89 :rule trans :premises (@p88 @p83)) % 1.94/2.17 (step @p90 :rule nary_cong :premises (@p89 @p82) :args ((or @t109 @t56))) % 1.94/2.17 (step @p91 :rule trans :premises (@p90 @p64)) % 1.94/2.17 (step @p92 :rule bool-impl-elim :args (@t15 @t56)) % 1.94/2.17 (step @p93 :rule trans :premises (@p92 @p91)) % 1.94/2.17 (step @p94 :rule cong :premises (@p93) :args (@t57)) % 1.94/2.17 (step @p95 :rule eq_resolve :premises (@p25 @p94)) % 1.94/2.17 (step @p96 :rule refl :args (@t115)) % 1.94/2.17 (step @p97 :rule refl :args (@t117)) % 1.94/2.17 (step @p98 :rule refl :args (@t118)) % 1.94/2.17 (step @p99 :rule eq-symm :args (tptp.xp tptp.sz00)) % 1.94/2.17 (step @p100 :rule refl :args (@t96)) % 1.94/2.17 (step @p101 :rule refl :args (@t119)) % 1.94/2.17 (step @p102 :rule refl :args (@t120)) % 1.94/2.17 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98 @p97 @p96) :args (@t121)) % 1.94/2.17 (step @p104 :rule refl :args (@t122)) % 1.94/2.17 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t122 @t121))) % 1.94/2.17 (assume-push @p329 @t122) % 1.94/2.17 (step @p107 :rule instantiate :premises (@p95) :args ((@list tptp.xp tptp.xq @t91))) % 1.94/2.17 (step-pop @p330 :rule scope :premises (@p107)) % 1.94/2.17 (step @p108 :rule process_scope :premises (@p330) :args (@t121)) % 1.94/2.17 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 1.94/2.17 (step @p111 :rule implies_elim :premises (@p110)) % 1.94/2.17 (step @p112 :rule chain_m_resolution :premises (@p111 @p95) :args (@t124 @t125 @t126)) % 1.94/2.17 (step @p113 :rule aci_norm :args ((= (or @t127 @t18) (or @t90 @t102 @t18)))) % 1.94/2.17 (step @p114 :rule refl :args (@t18)) % 1.94/2.17 (step @p115 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 1.94/2.17 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t128 @t18))) % 1.94/2.17 (step @p117 :rule trans :premises (@p116 @p113)) % 1.94/2.17 (step @p118 :rule bool-impl-elim :args (@t8 @t18)) % 1.94/2.17 (step @p119 :rule trans :premises (@p118 @p117)) % 1.94/2.17 (step @p120 :rule cong :premises (@p119) :args (@t19)) % 1.94/2.17 (step @p121 :rule eq_resolve :premises (@p9 @p120)) % 1.94/2.17 (step @p122 :rule instantiate :premises (@p121) :args ((@list tptp.xp @t91))) % 1.94/2.17 (step @p123 :rule and_elim :premises (@p40) :args (2)) % 1.94/2.17 (step @p124 :rule cnf_or_pos :args (@t130)) % 1.94/2.17 (step @p125 :rule reordering :premises (@p124) :args ((or @t120 @t96 @t129 (not @t130)))) % 1.94/2.17 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p63 @p122) :args (@t129 @t131 (@list @t72 @t92 @t130))) % 1.94/2.17 (step @p127 :rule bool-double-not-elim :args (@t94)) % 1.94/2.17 (step @p128 :rule nary_cong :premises (@p58 @p127) :args ((or @t97 (not @t95)))) % 1.94/2.17 (step @p129 :rule cnf_or_neg :args (@t97 1)) % 1.94/2.17 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 1.94/2.17 (step @p131 :rule reordering :premises (@p130) :args ((or @t94 @t97))) % 1.94/2.17 (step @p132 :rule chain_m_resolution :premises (@p131 @p56) :args (@t94 @t98 @t99)) % 1.94/2.17 (step @p133 :rule and_elim :premises (@p45) :args (1)) % 1.94/2.17 (step @p134 :rule symm :premises (@p133)) % 1.94/2.17 (step @p135 :rule instantiate :premises (@p121) :args ((@list tptp.xp tptp.xq))) % 1.94/2.17 (step @p136 :rule cnf_or_pos :args (@t133)) % 1.94/2.17 (step @p137 :rule reordering :premises (@p136) :args ((or @t120 @t119 @t132 (not @t133)))) % 1.94/2.17 (step @p138 :rule chain_m_resolution :premises (@p137 @p123 @p48 @p135) :args (@t132 @t131 (@list @t72 @t85 @t133))) % 1.94/2.17 (step @p139 :rule symm :premises (@p138)) % 1.94/2.17 (step @p140 :rule trans :premises (@p139 @p134 @p132 @p126)) % 1.94/2.17 (step @p141 :rule cnf_and_pos :args (@t115 2)) % 1.94/2.17 (step @p142 :rule reordering :premises (@p141) :args ((or @t113 @t134))) % 1.94/2.17 (step @p143 :rule chain_m_resolution :premises (@p142 @p140) :args (@t134 @t125 @t135)) % 1.94/2.17 (step @p144 :rule aci_norm :args ((= (or @t105 @t20) @t136))) % 1.94/2.17 (step @p145 :rule refl :args (@t20)) % 1.94/2.17 (step @p146 :rule nary_cong :premises (@p89 @p145) :args ((or @t109 @t20))) % 1.94/2.17 (step @p147 :rule trans :premises (@p146 @p144)) % 1.94/2.17 (step @p148 :rule bool-impl-elim :args (@t15 @t20)) % 1.94/2.17 (step @p149 :rule trans :premises (@p148 @p147)) % 1.94/2.17 (step @p150 :rule cong :premises (@p149) :args (@t21)) % 1.94/2.17 (step @p151 :rule eq_resolve :premises (@p10 @p150)) % 1.94/2.17 (step @p152 :rule instantiate :premises (@p151) :args ((@list tptp.xn tptp.xp tptp.sz10))) % 1.94/2.17 (step @p153 :rule and_elim :premises (@p40) :args (0)) % 1.94/2.17 (step @p154 :rule and_elim :premises (@p3) :args (0)) % 1.94/2.17 (step @p155 :rule cnf_or_pos :args (@t144)) % 1.94/2.17 (step @p156 :rule reordering :premises (@p155) :args ((or @t142 @t143 @t120 @t141 (not @t144)))) % 1.94/2.17 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p153 @p123 @p152) :args (@t141 @t145 (@list @t4 @t73 @t72 @t144))) % 1.94/2.17 (step @p158 :rule instantiate :premises (@p151) :args ((@list tptp.xp @t83 tptp.xq))) % 1.94/2.17 (step @p159 :rule true_intro :premises (@p153)) % 1.94/2.17 (step @p160 :rule cong :premises (@p134) :args (@t146)) % 1.94/2.17 (step @p161 :rule trans :premises (@p160 @p159)) % 1.94/2.17 (step @p162 :rule true_elim :premises (@p161)) % 1.94/2.17 (step @p163 :rule cnf_or_pos :args (@t151)) % 1.94/2.17 (step @p164 :rule reordering :premises (@p163) :args ((or @t120 @t119 @t150 @t149 (not @t151)))) % 1.94/2.17 (step @p165 :rule chain_m_resolution :premises (@p164 @p123 @p48 @p162 @p158) :args (@t149 @t145 (@list @t72 @t85 @t146 @t151))) % 1.94/2.17 (step @p166 :rule instantiate :premises (@p121) :args ((@list tptp.xn tptp.xp))) % 1.94/2.17 (step @p167 :rule cnf_or_pos :args (@t154)) % 1.94/2.17 (step @p168 :rule reordering :premises (@p167) :args ((or @t143 @t120 @t153 (not @t154)))) % 1.94/2.17 (step @p169 :rule chain_m_resolution :premises (@p168 @p153 @p123 @p166) :args (@t153 @t131 (@list @t73 @t72 @t154))) % 1.94/2.17 (step @p170 :rule bool-impl-elim :args (@t2 @t155)) % 1.94/2.17 (step @p171 :rule cong :premises (@p170) :args ((forall @t3 (=> @t2 @t155)))) % 1.94/2.17 (step @p172 :rule refl :args (@t22)) % 1.94/2.17 (step @p173 :rule eq-symm :args (@t23 @t1)) % 1.94/2.17 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t24)) % 1.94/2.17 (step @p175 :rule refl :args (@t2)) % 1.94/2.17 (step @p176 :rule cong :premises (@p175 @p174) :args (@t25)) % 1.94/2.17 (step @p177 :rule cong :premises (@p176) :args (@t26)) % 1.94/2.17 (step @p178 :rule trans :premises (@p177 @p171)) % 1.94/2.17 (step @p179 :rule eq_resolve :premises (@p11 @p178)) % 1.94/2.17 (step @p180 :rule instantiate :premises (@p179) :args ((@list tptp.xp))) % 1.94/2.17 (step @p181 :rule cnf_or_pos :args (@t158)) % 1.94/2.17 (step @p182 :rule reordering :premises (@p181) :args ((or @t120 @t157 (not @t158)))) % 1.94/2.17 (step @p183 :rule chain_m_resolution :premises (@p182 @p123 @p180) :args (@t157 (@list false false) (@list @t72 @t158))) % 1.94/2.17 (step @p184 :rule cnf_and_pos :args (@t157 0)) % 1.94/2.17 (step @p185 :rule reordering :premises (@p184) :args ((or @t156 (not @t157)))) % 1.94/2.17 (step @p186 :rule chain_m_resolution :premises (@p185 @p183) :args (@t156 @t125 (@list @t157))) % 1.94/2.17 (step @p187 :rule eq-symm :args (@t147 @t86)) % 1.94/2.17 (step @p188 :rule nary_cong :premises (@p102 @p101 @p101 @p187) :args (@t159)) % 1.94/2.17 (step @p189 :rule refl :args (@t160)) % 1.94/2.17 (step @p190 :rule cong :premises (@p189 @p188) :args ((=> @t160 @t159))) % 1.94/2.17 (assume-push @p331 @t160) % 1.94/2.17 (step @p192 :rule instantiate :premises (@p151) :args ((@list tptp.xp tptp.xq tptp.xq))) % 1.94/2.17 (step-pop @p332 :rule scope :premises (@p192)) % 1.94/2.17 (step @p193 :rule process_scope :premises (@p332) :args (@t159)) % 1.94/2.17 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 1.94/2.17 (step @p196 :rule implies_elim :premises (@p195)) % 1.94/2.17 (step @p197 :rule chain_m_resolution :premises (@p196 @p151) :args (@t162 @t125 (@list @t160))) % 1.94/2.17 (step @p198 :rule cnf_or_pos :args (@t162)) % 1.94/2.17 (step @p199 :rule factoring :premises (@p198)) % 1.94/2.17 (step @p200 :rule reordering :premises (@p199) :args ((or @t120 @t119 @t161 (not @t162)))) % 1.94/2.17 (step @p201 :rule chain_m_resolution :premises (@p200 @p123 @p48 @p197) :args (@t161 @t131 (@list @t72 @t85 @t162))) % 1.94/2.17 (step @p202 :rule instantiate :premises (@p151) :args ((@list tptp.xn tptp.xp @t91))) % 1.94/2.17 (step @p203 :rule cnf_or_pos :args (@t165)) % 1.94/2.17 (step @p204 :rule reordering :premises (@p203) :args ((or @t143 @t120 @t96 @t164 (not @t165)))) % 1.94/2.17 (step @p205 :rule chain_m_resolution :premises (@p204 @p153 @p123 @p63 @p202) :args (@t164 @t145 (@list @t73 @t72 @t92 @t165))) % 1.94/2.17 (assume-push @p333 @t78) % 1.94/2.17 (assume-push @p334 @t84) % 1.94/2.17 (assume-push @p335 @t94) % 1.94/2.17 (assume-push @p336 @t164) % 1.94/2.17 (assume-push @p337 @t161) % 1.94/2.17 (assume-push @p338 @t156) % 1.94/2.17 (assume-push @p339 @t153) % 1.94/2.17 (assume-push @p340 @t149) % 1.94/2.17 (assume-push @p341 @t141) % 1.94/2.17 (assume-push @p342 @t118) % 1.94/2.17 (assume-push @p343 @t161) % 1.94/2.17 (assume-push @p344 @t149) % 1.94/2.17 (assume-push @p345 @t84) % 1.94/2.17 (assume-push @p346 @t153) % 1.94/2.17 (assume-push @p347 @t156) % 1.94/2.17 (assume-push @p348 @t141) % 1.94/2.17 (assume-push @p349 @t118) % 1.94/2.17 (assume-push @p350 @t164) % 1.94/2.17 (assume-push @p351 @t94) % 1.94/2.17 (assume-push @p352 @t78) % 1.94/2.17 (step @p226 :rule symm :premises (@p201)) % 1.94/2.17 (step @p227 :rule refl :args (tptp.xp)) % 1.94/2.17 (step @p228 :rule cong :premises (@p227 @p226) :args (@t148)) % 1.94/2.17 (step @p229 :rule symm :premises (@p342)) % 1.94/2.17 (step @p230 :rule cong :premises (@p227 @p133) :args (@t152)) % 1.94/2.17 (step @p231 :rule symm :premises (@p186)) % 1.94/2.17 (step @p232 :rule refl :args (tptp.xn)) % 1.94/2.17 (step @p233 :rule cong :premises (@p232 @p231) :args (@t138)) % 1.94/2.17 (step @p234 :rule trans :premises (@p157 @p233 @p169 @p230)) % 1.94/2.17 (step @p235 :rule cong :premises (@p234 @p229) :args ((tptp.sdtasdt0 @t140 @t91))) % 1.94/2.17 (step @p236 :rule refl :args (@t91)) % 1.94/2.17 (step @p237 :rule symm :premises (@p234)) % 1.94/2.17 (step @p238 :rule trans :premises (@p169 @p230)) % 1.94/2.17 (step @p239 :rule trans :premises (@p238 @p237)) % 1.94/2.17 (step @p240 :rule cong :premises (@p239 @p236) :args (@t163)) % 1.94/2.17 (step @p241 :rule symm :premises (@p205)) % 1.94/2.17 (step @p242 :rule symm :premises (@p132)) % 1.94/2.17 (step @p243 :rule cong :premises (@p242 @p132) :args ((tptp.sdtasdt0 @t93 tptp.xn))) % 1.94/2.17 (step @p244 :rule cong :premises (@p132 @p232) :args (@t76)) % 1.94/2.17 (step @p245 :rule trans :premises (@p42 @p244 @p243 @p241 @p240 @p235 @p165 @p228)) % 1.94/2.17 (step-pop @p353 :rule scope :premises (@p245)) % 1.94/2.17 (step-pop @p354 :rule scope :premises (@p353)) % 1.94/2.17 (step-pop @p355 :rule scope :premises (@p354)) % 1.94/2.17 (step-pop @p356 :rule scope :premises (@p355)) % 1.94/2.17 (step-pop @p357 :rule scope :premises (@p356)) % 1.94/2.17 (step-pop @p358 :rule scope :premises (@p357)) % 1.94/2.17 (step-pop @p359 :rule scope :premises (@p358)) % 1.94/2.17 (step-pop @p360 :rule scope :premises (@p359)) % 1.94/2.17 (step-pop @p361 :rule scope :premises (@p360)) % 1.94/2.17 (step-pop @p362 :rule scope :premises (@p361)) % 1.94/2.17 (step @p246 :rule process_scope :premises (@p362) :args (@t87)) % 1.94/2.17 (step @p257 :rule and_intro :premises (@p201 @p165 @p133 @p169 @p186 @p157 @p342 @p205 @p132 @p42)) % 1.94/2.17 (step @p258 :rule modus_ponens :premises (@p257 @p246)) % 1.94/2.17 (step-pop @p363 :rule scope :premises (@p258)) % 1.94/2.17 (step-pop @p364 :rule scope :premises (@p363)) % 1.94/2.17 (step-pop @p365 :rule scope :premises (@p364)) % 1.94/2.17 (step-pop @p366 :rule scope :premises (@p365)) % 1.94/2.17 (step-pop @p367 :rule scope :premises (@p366)) % 1.94/2.17 (step-pop @p368 :rule scope :premises (@p367)) % 1.94/2.17 (step-pop @p369 :rule scope :premises (@p368)) % 1.94/2.17 (step-pop @p370 :rule scope :premises (@p369)) % 1.94/2.17 (step-pop @p371 :rule scope :premises (@p370)) % 1.94/2.17 (step-pop @p372 :rule scope :premises (@p371)) % 1.94/2.17 (step @p259 :rule process_scope :premises (@p372) :args (@t87)) % 1.94/2.17 (step @p270 :rule implies_elim :premises (@p259)) % 1.94/2.17 (step @p271 :rule cnf_and_neg :args (@t166)) % 1.94/2.17 (step @p272 :rule resolution :premises (@p271 @p270) :args (true @t166)) % 1.94/2.17 (step @p273 :rule reordering :premises (@p272) :args ((or @t87 (not @t78) (not @t84) @t95 (not @t164) (not @t161) (not @t156) (not @t153) (not @t149) (not @t141) @t167))) % 1.94/2.17 (step @p274 :rule chain_m_resolution :premises (@p273 @p46 @p42 @p133 @p132 @p205 @p201 @p186 @p169 @p165 @p157) :args (@t167 (@list true false false false false false false false false false) (@list @t87 @t78 @t84 @t94 @t164 @t161 @t156 @t153 @t149 @t141))) % 1.94/2.17 (step @p275 :rule and_elim :premises (@p40) :args (5)) % 1.94/2.17 (step @p276 :rule symm :premises (@p275)) % 1.94/2.17 (step @p277 :rule cnf_or_pos :args (@t124)) % 1.94/2.17 (step @p278 :rule reordering :premises (@p277) :args ((or @t123 @t120 @t119 @t96 @t118 @t117 @t115 (not @t124)))) % 1.94/2.17 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p123 @p48 @p63 @p274 @p143 @p112) :args (@t117 @t168 (@list @t123 @t72 @t85 @t92 @t118 @t115 @t124))) % 1.94/2.17 (step @p280 :rule refl :args (@t169)) % 1.94/2.17 (step @p281 :rule eq-symm :args (@t110 @t111)) % 1.94/2.17 (step @p282 :rule cong :premises (@p281) :args (@t170)) % 1.94/2.17 (step @p283 :rule refl :args (@t171)) % 1.94/2.17 (step @p284 :rule eq-symm :args (@t93 @t83)) % 1.94/2.17 (step @p285 :rule cong :premises (@p284) :args (@t172)) % 1.94/2.17 (step @p286 :rule nary_cong :premises (@p285 @p283 @p282 @p280) :args (@t173)) % 1.94/2.17 (step @p287 :rule refl :args (@t175)) % 1.94/2.17 (step @p288 :rule eq-symm :args (@t91 tptp.xq)) % 1.94/2.17 (step @p289 :rule nary_cong :premises (@p102 @p100 @p101 @p99 @p288 @p287 @p286) :args (@t176)) % 1.94/2.17 (step @p290 :rule cong :premises (@p104 @p289) :args ((=> @t122 @t176))) % 1.94/2.17 (assume-push @p373 @t122) % 1.94/2.17 (step @p292 :rule instantiate :premises (@p95) :args ((@list tptp.xp @t91 tptp.xq))) % 1.94/2.17 (step-pop @p374 :rule scope :premises (@p292)) % 1.94/2.17 (step @p293 :rule process_scope :premises (@p374) :args (@t176)) % 1.94/2.17 (step @p295 :rule eq_resolve :premises (@p293 @p290)) % 1.94/2.17 (step @p296 :rule implies_elim :premises (@p295)) % 1.94/2.17 (step @p297 :rule chain_m_resolution :premises (@p296 @p95) :args (@t178 @t125 @t126)) % 1.94/2.17 (step @p298 :rule cnf_and_pos :args (@t177 2)) % 1.94/2.17 (step @p299 :rule reordering :premises (@p298) :args ((or @t113 @t179))) % 1.94/2.17 (step @p300 :rule chain_m_resolution :premises (@p299 @p140) :args (@t179 @t125 @t135)) % 1.94/2.17 (step @p301 :rule cnf_or_pos :args (@t178)) % 1.94/2.17 (step @p302 :rule reordering :premises (@p301) :args ((or @t123 @t120 @t119 @t96 @t118 @t175 @t177 (not @t178)))) % 1.94/2.17 (step @p303 :rule chain_m_resolution :premises (@p302 @p276 @p123 @p48 @p63 @p274 @p300 @p297) :args (@t175 @t168 (@list @t123 @t72 @t85 @t92 @t118 @t177 @t178))) % 1.94/2.17 (step @p304 :rule cnf_and_pos :args (@t180 1)) % 1.94/2.17 (step @p305 :rule reordering :premises (@p304) :args ((or @t174 @t181))) % 1.94/2.17 (step @p306 :rule chain_m_resolution :premises (@p305 @p303) :args (@t181 @t98 (@list @t174))) % 1.94/2.17 (step @p307 :rule aci_norm :args ((= (or @t127 @t183) (or @t90 @t102 @t40 @t182)))) % 1.94/2.17 (step @p308 :rule refl :args (@t183)) % 1.94/2.17 (step @p309 :rule nary_cong :premises (@p115 @p308) :args ((or @t128 @t183))) % 1.94/2.17 (step @p310 :rule trans :premises (@p309 @p307)) % 1.94/2.17 (step @p311 :rule bool-impl-elim :args (@t8 @t183)) % 1.94/2.17 (step @p312 :rule trans :premises (@p311 @p310)) % 1.94/2.17 (step @p313 :rule cong :premises (@p312) :args ((forall @t9 (=> @t8 @t183)))) % 1.94/2.17 (step @p314 :rule refl :args (@t42)) % 1.94/2.17 (step @p315 :rule eq-symm :args (@t5 @t1)) % 1.94/2.17 (step @p316 :rule cong :premises (@p315) :args (@t45)) % 1.94/2.17 (step @p317 :rule nary_cong :premises (@p316 @p314) :args (@t46)) % 1.94/2.17 (step @p318 :rule refl :args (@t40)) % 1.94/2.18 (step @p319 :rule nary_cong :premises (@p318 @p317) :args (@t47)) % 1.94/2.18 (step @p320 :rule refl :args (@t8)) % 1.94/2.18 (step @p321 :rule cong :premises (@p320 @p319) :args (@t48)) % 1.94/2.18 (step @p322 :rule cong :premises (@p321) :args (@t49)) % 1.94/2.18 (step @p323 :rule trans :premises (@p322 @p313)) % 1.94/2.18 (step @p324 :rule eq_resolve :premises (@p23 @p323)) % 1.94/2.18 (step @p325 :rule instantiate :premises (@p324) :args ((@list tptp.xq @t91))) % 1.94/2.18 (step @p326 :rule cnf_or_pos :args (@t184)) % 1.94/2.18 (step @p327 :rule reordering :premises (@p326) :args ((or @t119 @t96 @t116 @t180 (not @t184)))) % 1.94/2.18 (step @p328 false :rule chain_m_resolution :premises (@p327 @p325 @p306 @p279 @p63 @p48) :args (false (@list false true true false false) (@list @t184 @t180 @t116 @t92 @t85))) % 1.94/2.18 ) % 1.94/2.18 % SZS output end Proof % 1.94/2.18 % cvc5 exiting %------------------------------------------------------------------------------