%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG108+1 : 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 : n001.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 08:45:42 AM UTC 2026 % Result : Theorem 15.95s 16.71s % Output : Proof 15.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG108+1 : 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 % 0.15/0.34 % Computer : n001.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:08:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.95/16.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.95/16.71 --- Run --no-e-matching --full-saturate-quant at 6... % 15.95/16.71 % SZS status Theorem % 15.95/16.71 % SZS output start Proof % 15.95/16.71 ( % 15.95/16.71 (declare-sort $$unsorted 0) % 15.95/16.71 (declare-const tptp.xc $$unsorted) % 15.95/16.71 (declare-const tptp.xa $$unsorted) % 15.95/16.71 (declare-const tptp.xI $$unsorted) % 15.95/16.71 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 15.95/16.71 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 15.95/16.71 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.sz00 $$unsorted) % 15.95/16.71 (declare-const tptp.sz10 $$unsorted) % 15.95/16.71 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 15.95/16.71 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.71 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.71 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.71 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.71 (declare-const tptp.xb $$unsorted) % 15.95/16.71 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.71 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 15.95/16.71 (define @t1 () (@var "W0" $$unsorted)) % 15.95/16.71 (define @t2 () (tptp.aElement0 @t1)) % 15.95/16.71 (define @t3 () (@list @t1)) % 15.95/16.71 (define @t4 () (tptp.aElement0 tptp.sz00)) % 15.95/16.71 (define @t5 () (tptp.aElement0 tptp.sz10)) % 15.95/16.71 (define @t6 () (tptp.smndt0 @t1)) % 15.95/16.71 (define @t7 () (@var "W1" $$unsorted)) % 15.95/16.71 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 15.95/16.71 (define @t9 () (tptp.aElement0 @t7)) % 15.95/16.71 (define @t10 () (and @t2 @t9)) % 15.95/16.71 (define @t11 () (@list @t1 @t7)) % 15.95/16.71 (define @t12 () (tptp.sdtasdt0 @t1 @t7)) % 15.95/16.71 (define @t13 () (@var "W2" $$unsorted)) % 15.95/16.71 (define @t14 () (tptp.sdtpldt0 @t7 @t13)) % 15.95/16.71 (define @t15 () (tptp.aElement0 @t13)) % 15.95/16.71 (define @t16 () (and @t2 @t9 @t15)) % 15.95/16.71 (define @t17 () (@list @t1 @t7 @t13)) % 15.95/16.71 (define @t18 () (tptp.sdtasdt0 @t7 @t1)) % 15.95/16.71 (define @t19 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 15.95/16.71 (define @t20 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 15.95/16.71 (define @t21 () (and (= @t20 @t1) @t19)) % 15.95/16.71 (define @t22 () (=> @t2 @t21)) % 15.95/16.71 (define @t23 () (forall @t3 @t22)) % 15.95/16.71 (define @t24 () (tptp.sdtasdt0 @t1 @t13)) % 15.95/16.71 (define @t25 () (tptp.smndt0 tptp.sz10)) % 15.95/16.71 (define @t26 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 15.95/16.71 (define @t27 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 15.95/16.71 (define @t28 () (and (= @t27 tptp.sz00) @t26)) % 15.95/16.71 (define @t29 () (=> @t2 @t28)) % 15.95/16.71 (define @t30 () (forall @t3 @t29)) % 15.95/16.71 (define @t31 () (= @t7 tptp.sz00)) % 15.95/16.71 (define @t32 () (= @t1 tptp.sz00)) % 15.95/16.71 (define @t33 () (tptp.aSet0 @t1)) % 15.95/16.71 (define @t34 () (tptp.aElementOf0 @t7 @t1)) % 15.95/16.71 (define @t35 () (@list @t7)) % 15.95/16.71 (define @t36 () (tptp.aElementOf0 @t13 @t1)) % 15.95/16.71 (define @t37 () (tptp.aElementOf0 @t13 @t7)) % 15.95/16.71 (define @t38 () (@list @t13)) % 15.95/16.71 (define @t39 () (tptp.aSet0 @t7)) % 15.95/16.71 (define @t40 () (and @t33 @t39)) % 15.95/16.71 (define @t41 () (@var "W3" $$unsorted)) % 15.95/16.71 (define @t42 () (@var "W5" $$unsorted)) % 15.95/16.71 (define @t43 () (@var "W4" $$unsorted)) % 15.95/16.71 (define @t44 () (tptp.aElementOf0 @t41 @t13)) % 15.95/16.71 (define @t45 () (@list @t41)) % 15.95/16.71 (define @t46 () (tptp.aSet0 @t13)) % 15.95/16.71 (define @t47 () (tptp.sdtpldt1 @t1 @t7)) % 15.95/16.71 (define @t48 () (tptp.sdtasasdt0 @t1 @t7)) % 15.95/16.71 (define @t49 () (tptp.sdtasdt0 @t13 @t7)) % 15.95/16.71 (define @t50 () (tptp.aElementOf0 @t49 @t1)) % 15.95/16.71 (define @t51 () (forall @t38 (=> @t15 @t50))) % 15.95/16.71 (define @t52 () (tptp.aElementOf0 @t14 @t1)) % 15.95/16.71 (define @t53 () (forall @t38 (=> @t36 @t52))) % 15.95/16.71 (define @t54 () (and @t53 @t51)) % 15.95/16.71 (define @t55 () (=> @t34 @t54)) % 15.95/16.71 (define @t56 () (forall @t35 @t55)) % 15.95/16.71 (define @t57 () (and @t33 @t56)) % 15.95/16.71 (define @t58 () (tptp.aIdeal0 @t1)) % 15.95/16.71 (define @t59 () (= @t58 @t57)) % 15.95/16.71 (define @t60 () (forall @t3 @t59)) % 15.95/16.71 (define @t61 () (and @t58 (tptp.aIdeal0 @t7))) % 15.95/16.71 (define @t62 () (tptp.aElement0 @t41)) % 15.95/16.71 (define @t63 () (@list @t13 @t41)) % 15.95/16.71 (define @t64 () (tptp.aNaturalNumber0 @t1)) % 15.95/16.71 (define @t65 () (tptp.sdtasdt0 @t1 @t41)) % 15.95/16.71 (define @t66 () (and @t62 (= @t65 @t13))) % 15.95/16.71 (define @t67 () (exists @t45 @t66)) % 15.95/16.71 (define @t68 () (= @t37 @t67)) % 15.95/16.71 (define @t69 () (forall @t38 @t68)) % 15.95/16.71 (define @t70 () (and @t39 @t69)) % 15.95/16.71 (define @t71 () (tptp.slsdtgt0 @t1)) % 15.95/16.71 (define @t72 () (= @t7 @t71)) % 15.95/16.71 (define @t73 () (= @t72 @t70)) % 15.95/16.71 (define @t74 () (forall @t35 @t73)) % 15.95/16.71 (define @t75 () (=> @t2 @t74)) % 15.95/16.71 (define @t76 () (forall @t3 @t75)) % 15.95/16.71 (define @t77 () (tptp.aIdeal0 @t71)) % 15.95/16.71 (define @t78 () (forall @t3 (=> @t2 @t77))) % 15.95/16.71 (define @t79 () (tptp.aElement0 tptp.xb)) % 15.95/16.71 (define @t80 () (tptp.aElement0 tptp.xa)) % 15.95/16.71 (define @t81 () (tptp.slsdtgt0 tptp.xb)) % 15.95/16.71 (define @t82 () (tptp.slsdtgt0 tptp.xa)) % 15.95/16.71 (define @t83 () (tptp.aElementOf0 tptp.xb @t81)) % 15.95/16.71 (define @t84 () (tptp.aElementOf0 tptp.sz00 @t81)) % 15.95/16.71 (define @t85 () (tptp.aElementOf0 tptp.xa @t82)) % 15.95/16.71 (define @t86 () (tptp.aElementOf0 tptp.sz00 @t82)) % 15.95/16.71 (define @t87 () (and (= tptp.sz00 @t27) @t26)) % 15.95/16.71 (define @t88 () (@list tptp.xb)) % 15.95/16.71 (define @t89 () (tptp.sdtasdt0 tptp.sz00 tptp.xb)) % 15.95/16.71 (define @t90 () (= tptp.sz00 @t89)) % 15.95/16.71 (define @t91 () (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xb tptp.sz00)) @t90)) % 15.95/16.71 (define @t92 () (not @t79)) % 15.95/16.71 (define @t93 () (or @t92 @t91)) % 15.95/16.71 (define @t94 () (@list false false)) % 15.95/16.71 (define @t95 () (@list false)) % 15.95/16.71 (define @t96 () (@var "BOUND_VARIABLE_8136" $$unsorted)) % 15.95/16.71 (define @t97 () (tptp.aElementOf0 @t13 @t96)) % 15.95/16.71 (define @t98 () (= @t13 @t65)) % 15.95/16.71 (define @t99 () (not @t62)) % 15.95/16.71 (define @t100 () (not (forall @t45 (or @t99 (not @t98))))) % 15.95/16.71 (define @t101 () (forall @t38 (= @t97 @t100))) % 15.95/16.71 (define @t102 () (tptp.aSet0 @t96)) % 15.95/16.71 (define @t103 () (and @t102 @t101)) % 15.95/16.71 (define @t104 () (= (= @t96 @t71) @t103)) % 15.95/16.71 (define @t105 () (not @t2)) % 15.95/16.71 (define @t106 () (or @t105 @t104)) % 15.95/16.71 (define @t107 () (@list @t1 @t96)) % 15.95/16.71 (define @t108 () (forall @t107 @t106)) % 15.95/16.71 (define @t109 () (@list @t96)) % 15.95/16.71 (define @t110 () (forall @t109 @t106)) % 15.95/16.71 (define @t111 () (forall @t109 @t104)) % 15.95/16.71 (define @t112 () (or @t105 @t111)) % 15.95/16.71 (define @t113 () (forall @t35 (= @t72 (and @t39 (forall @t38 (= @t37 @t100)))))) % 15.95/16.71 (define @t114 () (and @t62 @t98)) % 15.95/16.71 (define @t115 () (forall @t45 (not @t114))) % 15.95/16.71 (define @t116 () (not @t115)) % 15.95/16.71 (define @t117 () (tptp.sdtasdt0 tptp.xb @t41)) % 15.95/16.71 (define @t118 () (not (forall @t45 (or @t99 (not (= @t13 @t117)))))) % 15.95/16.71 (define @t119 () (tptp.aElementOf0 @t13 @t81)) % 15.95/16.71 (define @t120 () (forall @t38 (= @t119 @t118))) % 15.95/16.71 (define @t121 () (tptp.aSet0 @t81)) % 15.95/16.71 (define @t122 () (and @t121 @t120)) % 15.95/16.71 (define @t123 () (forall @t38 (= @t118 @t119))) % 15.95/16.71 (define @t124 () (and @t121 @t123)) % 15.95/16.71 (define @t125 () (= (= @t81 @t81) @t124)) % 15.95/16.71 (define @t126 () (or @t92 @t125)) % 15.95/16.71 (define @t127 () (forall @t107 (or @t105 (= (= @t71 @t96) (and @t102 (forall @t38 (= @t100 @t97))))))) % 15.95/16.71 (define @t128 () (or @t92 @t122)) % 15.95/16.71 (define @t129 () (@list @t127)) % 15.95/16.71 (define @t130 () (and (= @t1 @t20) @t19)) % 15.95/16.71 (define @t131 () (= tptp.xb (tptp.sdtasdt0 tptp.xb tptp.sz10))) % 15.95/16.71 (define @t132 () (and @t131 (= tptp.xb (tptp.sdtasdt0 tptp.sz10 tptp.xb)))) % 15.95/16.71 (define @t133 () (or @t92 @t132)) % 15.95/16.71 (define @t134 () (not @t131)) % 15.95/16.71 (define @t135 () (not @t5)) % 15.95/16.71 (define @t136 () (or @t135 @t134)) % 15.95/16.71 (define @t137 () (not @t136)) % 15.95/16.71 (define @t138 () (forall @t45 (or @t99 (not (= tptp.xb @t117))))) % 15.95/16.71 (define @t139 () (@list tptp.sz10)) % 15.95/16.71 (define @t140 () (not @t138)) % 15.95/16.71 (define @t141 () (@list true)) % 15.95/16.71 (define @t142 () (= @t83 @t140)) % 15.95/16.71 (define @t143 () (not @t142)) % 15.95/16.71 (define @t144 () (@list true false)) % 15.95/16.71 (define @t145 () (tptp.sdtasdt0 tptp.xa @t41)) % 15.95/16.71 (define @t146 () (not (forall @t45 (or @t99 (not (= @t13 @t145)))))) % 15.95/16.71 (define @t147 () (tptp.aElementOf0 @t13 @t82)) % 15.95/16.71 (define @t148 () (forall @t38 (= @t147 @t146))) % 15.95/16.71 (define @t149 () (tptp.aSet0 @t82)) % 15.95/16.71 (define @t150 () (and @t149 @t148)) % 15.95/16.71 (define @t151 () (forall @t38 (= @t146 @t147))) % 15.95/16.71 (define @t152 () (and @t149 @t151)) % 15.95/16.71 (define @t153 () (= (= @t82 @t82) @t152)) % 15.95/16.71 (define @t154 () (not @t80)) % 15.95/16.71 (define @t155 () (or @t154 @t153)) % 15.95/16.71 (define @t156 () (or @t154 @t150)) % 15.95/16.71 (define @t157 () (@list tptp.xa)) % 15.95/16.71 (define @t158 () (= tptp.xa (tptp.sdtasdt0 tptp.xa tptp.sz10))) % 15.95/16.71 (define @t159 () (and @t158 (= tptp.xa (tptp.sdtasdt0 tptp.sz10 tptp.xa)))) % 15.95/16.71 (define @t160 () (or @t154 @t159)) % 15.95/16.71 (define @t161 () (not @t158)) % 15.95/16.71 (define @t162 () (or @t135 @t161)) % 15.95/16.71 (define @t163 () (not @t162)) % 15.95/16.71 (define @t164 () (forall @t45 (or @t99 (not (= tptp.xa @t145))))) % 15.95/16.71 (define @t165 () (not @t164)) % 15.95/16.71 (define @t166 () (= @t85 @t165)) % 15.95/16.71 (define @t167 () (not @t166)) % 15.95/16.71 (define @t168 () (@var "BOUND_VARIABLE_7947" $$unsorted)) % 15.95/16.71 (define @t169 () (tptp.sdtasdt0 @t168 @t7)) % 15.95/16.71 (define @t170 () (not (tptp.aElement0 @t168))) % 15.95/16.71 (define @t171 () (or @t170 (tptp.aElementOf0 @t169 @t1))) % 15.95/16.71 (define @t172 () (@var "BOUND_VARIABLE_7940" $$unsorted)) % 15.95/16.71 (define @t173 () (tptp.sdtpldt0 @t7 @t172)) % 15.95/16.71 (define @t174 () (or (not (tptp.aElementOf0 @t172 @t1)) (tptp.aElementOf0 @t173 @t1))) % 15.95/16.71 (define @t175 () (and @t174 @t171)) % 15.95/16.71 (define @t176 () (not @t34)) % 15.95/16.71 (define @t177 () (or @t176 @t175)) % 15.95/16.71 (define @t178 () (@list @t7 @t172 @t168)) % 15.95/16.71 (define @t179 () (@list @t172 @t168)) % 15.95/16.71 (define @t180 () (forall @t179 @t177)) % 15.95/16.71 (define @t181 () (forall (@list @t168) @t171)) % 15.95/16.71 (define @t182 () (@list @t13)) % 15.95/16.71 (define @t183 () (forall @t179 @t171)) % 15.95/16.71 (define @t184 () (forall (@list @t172) @t174)) % 15.95/16.71 (define @t185 () (forall @t179 @t174)) % 15.95/16.71 (define @t186 () (and @t185 @t183)) % 15.95/16.71 (define @t187 () (forall @t179 @t175)) % 15.95/16.71 (define @t188 () (or @t176 @t187)) % 15.95/16.71 (define @t189 () (and (forall @t38 (or (not @t36) @t52)) (forall @t38 (or (not @t15) @t50)))) % 15.95/16.71 (define @t190 () (tptp.aIdeal0 @t82)) % 15.95/16.71 (define @t191 () (or @t154 @t190)) % 15.95/16.71 (define @t192 () (forall @t178 (or (not (tptp.aElementOf0 @t7 @t82)) (and (or (not (tptp.aElementOf0 @t172 @t82)) (tptp.aElementOf0 @t173 @t82)) (or @t170 (tptp.aElementOf0 @t169 @t82)))))) % 15.95/16.71 (define @t193 () (and @t149 @t192)) % 15.95/16.71 (define @t194 () (= @t190 @t193)) % 15.95/16.71 (define @t195 () (tptp.sdtasdt0 tptp.sz00 tptp.xa)) % 15.95/16.71 (define @t196 () (tptp.aElementOf0 @t195 @t82)) % 15.95/16.71 (define @t197 () (not @t4)) % 15.95/16.71 (define @t198 () (or @t197 @t196)) % 15.95/16.71 (define @t199 () (and (or (not (tptp.aElementOf0 tptp.sz10 @t82)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xa tptp.sz10) @t82)) @t198)) % 15.95/16.71 (define @t200 () (not @t85)) % 15.95/16.71 (define @t201 () (or @t200 @t199)) % 15.95/16.71 (define @t202 () (= tptp.sz00 @t195)) % 15.95/16.71 (define @t203 () (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xa tptp.sz00)) @t202)) % 15.95/16.71 (define @t204 () (or @t154 @t203)) % 15.95/16.71 (define @t205 () (not @t196)) % 15.95/16.71 (define @t206 () (not @t202)) % 15.95/16.71 (define @t207 () (not @t86)) % 15.95/16.71 (define @t208 () (= false true)) % 15.95/16.71 (define @t209 () (and @t196 @t202 @t207)) % 15.95/16.71 (define @t210 () (not @t84)) % 15.95/16.71 (define @t211 () (tptp.aIdeal0 @t81)) % 15.95/16.71 (define @t212 () (or @t92 @t211)) % 15.95/16.71 (define @t213 () (forall @t178 (or (not (tptp.aElementOf0 @t7 @t81)) (and (or (not (tptp.aElementOf0 @t172 @t81)) (tptp.aElementOf0 @t173 @t81)) (or @t170 (tptp.aElementOf0 @t169 @t81)))))) % 15.95/16.71 (define @t214 () (and @t121 @t213)) % 15.95/16.71 (define @t215 () (= @t211 @t214)) % 15.95/16.71 (define @t216 () (tptp.aElementOf0 @t89 @t81)) % 15.95/16.71 (define @t217 () (or @t197 @t216)) % 15.95/16.71 (define @t218 () (and (or (not (tptp.aElementOf0 tptp.sz10 @t81)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xb tptp.sz10) @t81)) @t217)) % 15.95/16.71 (define @t219 () (not @t83)) % 15.95/16.71 (define @t220 () (or @t219 @t218)) % 15.95/16.71 (define @t221 () (not @t216)) % 15.95/16.71 (define @t222 () (not @t90)) % 15.95/16.71 (define @t223 () (and @t216 @t90 @t210)) % 15.95/16.71 (assume @p1 (forall @t3 (=> @t2 true))) % 15.95/16.71 (assume @p2 @t4) % 15.95/16.71 (assume @p3 @t5) % 15.95/16.71 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t6)))) % 15.95/16.71 (assume @p5 (forall @t11 (=> @t10 (tptp.aElement0 @t8)))) % 15.95/16.71 (assume @p6 (forall @t11 (=> @t10 (tptp.aElement0 @t12)))) % 15.95/16.71 (assume @p7 (forall @t11 (=> @t10 (= @t8 (tptp.sdtpldt0 @t7 @t1))))) % 15.95/16.71 (assume @p8 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t8 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 15.95/16.71 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 15.95/16.71 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t6) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t6 @t1)))))) % 15.95/16.71 (assume @p11 (forall @t11 (=> @t10 (= @t12 @t18)))) % 15.95/16.71 (assume @p12 (forall @t17 (=> @t16 (= (tptp.sdtasdt0 @t12 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t7 @t13)))))) % 15.95/16.71 (assume @p13 @t23) % 15.95/16.71 (assume @p14 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t12 @t24)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 (tptp.sdtasdt0 @t13 @t1))))))) % 15.95/16.71 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t25 @t1) @t6) (= @t6 (tptp.sdtasdt0 @t1 @t25)))))) % 15.95/16.71 (assume @p16 @t30) % 15.95/16.71 (assume @p17 (forall @t11 (=> @t10 (=> (= @t12 tptp.sz00) (or @t32 @t31))))) % 15.95/16.71 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 15.95/16.71 (assume @p19 (forall @t3 (=> @t33 true))) % 15.95/16.71 (assume @p20 (forall @t3 (=> @t33 (forall @t35 (=> @t34 @t9))))) % 15.95/16.71 (assume @p21 (forall @t11 (=> @t40 (=> (and (forall @t38 (=> @t36 @t37)) (forall @t38 (=> @t37 @t36))) (= @t1 @t7))))) % 15.95/16.71 (assume @p22 (forall @t11 (=> @t40 (forall @t38 (= (= @t13 @t47) (and @t46 (forall @t45 (= @t44 (exists (@list @t43 @t42) (and (tptp.aElementOf0 @t43 @t1) (tptp.aElementOf0 @t42 @t7) (= (tptp.sdtpldt0 @t43 @t42) @t41))))))))))) % 15.95/16.71 (assume @p23 (forall @t11 (=> @t40 (forall @t38 (= (= @t13 @t48) (and @t46 (forall @t45 (= @t44 (and (tptp.aElementOf0 @t41 @t1) (tptp.aElementOf0 @t41 @t7)))))))))) % 15.95/16.71 (assume @p24 @t60) % 15.95/16.71 (assume @p25 (forall @t11 (=> @t61 (tptp.aIdeal0 @t47)))) % 15.95/16.71 (assume @p26 (forall @t11 (=> @t61 (tptp.aIdeal0 @t48)))) % 15.95/16.71 (assume @p27 (forall @t17 (=> (and @t2 @t9 (tptp.aIdeal0 @t13)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t7 @t13) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t7)) @t13))))) % 15.95/16.71 (assume @p28 (forall @t11 (=> @t61 (=> (forall @t38 (=> @t15 (tptp.aElementOf0 @t13 @t47))) (forall @t63 (=> (and @t15 @t62) (exists (@list @t43) (and (tptp.aElement0 @t43) (tptp.sdteqdtlpzmzozddtrp0 @t43 @t13 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t43 @t41 @t7))))))))) % 15.95/16.71 (assume @p29 (forall @t3 (=> @t64 true))) % 15.95/16.71 (assume @p30 (forall @t3 (=> (and @t2 (not @t32)) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 @t1))))) % 15.95/16.71 (assume @p31 (forall @t11 (=> (and @t64 (tptp.aNaturalNumber0 @t7)) (=> (tptp.iLess0 @t1 @t7) true)))) % 15.95/16.71 (assume @p32 (forall @t11 (=> (and @t2 @t9 (not @t31)) (exists @t63 (and @t15 @t62 (= @t1 (tptp.sdtpldt0 @t49 @t41)) (=> (not (= @t41 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t41) (tptp.sbrdtbr0 @t7)))))))) % 15.95/16.71 (assume @p33 (forall @t11 (=> @t10 (= (tptp.doDivides0 @t1 @t7) (exists @t38 (and @t15 (= @t24 @t7))))))) % 15.95/16.71 (assume @p34 (forall @t3 (=> @t2 (forall @t35 (= (tptp.aDivisorOf0 @t7 @t1) (and @t9 (tptp.doDivides0 @t7 @t1))))))) % 15.95/16.71 (assume @p35 (forall @t11 (=> @t10 (forall @t38 (= (tptp.aGcdOfAnd0 @t13 @t1 @t7) (and (tptp.aDivisorOf0 @t13 @t1) (tptp.aDivisorOf0 @t13 @t7) (forall @t45 (=> (and (tptp.aDivisorOf0 @t41 @t1) (tptp.aDivisorOf0 @t41 @t7)) (tptp.doDivides0 @t41 @t13))))))))) % 15.95/16.71 (assume @p36 (forall @t11 (=> @t10 (= (tptp.misRelativelyPrime0 @t1 @t7) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t7))))) % 15.95/16.71 (assume @p37 @t76) % 15.95/16.71 (assume @p38 @t78) % 15.95/16.71 (assume @p39 (and @t80 @t79)) % 15.95/16.71 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 15.95/16.71 (assume @p41 (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb)) % 15.95/16.71 (assume @p42 (and (tptp.aIdeal0 tptp.xI) (= tptp.xI (tptp.sdtpldt1 @t82 @t81)))) % 15.95/16.71 (assume @p43 (not (and @t86 @t85 @t84 @t83))) % 15.95/16.71 (assume @p44 true) % 15.95/16.71 (step @p45 :rule bool-impl-elim :args (@t2 @t87)) % 15.95/16.71 (step @p46 :rule cong :premises (@p45) :args ((forall @t3 (=> @t2 @t87)))) % 15.95/16.71 (step @p47 :rule refl :args (@t26)) % 15.95/16.71 (step @p48 :rule eq-symm :args (@t27 tptp.sz00)) % 15.95/16.71 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t28)) % 15.95/16.71 (step @p50 :rule refl :args (@t2)) % 15.95/16.71 (step @p51 :rule cong :premises (@p50 @p49) :args (@t29)) % 15.95/16.71 (step @p52 :rule cong :premises (@p51) :args (@t30)) % 15.95/16.71 (step @p53 :rule trans :premises (@p52 @p46)) % 15.95/16.71 (step @p54 :rule eq_resolve :premises (@p16 @p53)) % 15.95/16.71 (step @p55 :rule instantiate :premises (@p54) :args (@t88)) % 15.95/16.71 (step @p56 :rule and_elim :premises (@p39) :args (1)) % 15.95/16.71 (step @p57 :rule cnf_or_pos :args (@t93)) % 15.95/16.71 (step @p58 :rule reordering :premises (@p57) :args ((or @t92 @t91 (not @t93)))) % 15.95/16.71 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55) :args (@t91 @t94 (@list @t79 @t93))) % 15.95/16.71 (step @p60 :rule cnf_and_pos :args (@t91 1)) % 15.95/16.71 (step @p61 :rule reordering :premises (@p60) :args ((or @t90 (not @t91)))) % 15.95/16.71 (step @p62 :rule chain_m_resolution :premises (@p61 @p59) :args (@t90 @t95 (@list @t91))) % 15.95/16.71 (step @p63 :rule eq-symm :args (@t97 @t100)) % 15.95/16.71 (step @p64 :rule cong :premises (@p63) :args (@t101)) % 15.95/16.71 (step @p65 :rule refl :args (@t102)) % 15.95/16.71 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t103)) % 15.95/16.71 (step @p67 :rule eq-symm :args (@t96 @t71)) % 15.95/16.71 (step @p68 :rule cong :premises (@p67 @p66) :args (@t104)) % 15.95/16.71 (step @p69 :rule refl :args (@t105)) % 15.95/16.71 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t106)) % 15.95/16.71 (step @p71 :rule cong :premises (@p70) :args (@t108)) % 15.95/16.71 (step @p72 :rule quant-merge-prenex :args ((= (forall @t3 @t110) @t108))) % 15.95/16.71 (step @p73 :rule alpha_equiv :args (@t111 (@list @t96) (@list @t7))) % 15.95/16.71 (step @p74 :rule refl :args (@t105)) % 15.95/16.71 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t112)) % 15.95/16.71 (step @p76 :rule quant-miniscope-or :args ((= @t110 @t112))) % 15.95/16.71 (step @p77 :rule trans :premises (@p76 @p75)) % 15.95/16.71 (step @p78 :rule symm :premises (@p77)) % 15.95/16.71 (step @p79 :rule cong :premises (@p78) :args ((forall @t3 (or @t105 @t113)))) % 15.95/16.71 (step @p80 :rule trans :premises (@p79 @p72)) % 15.95/16.71 (step @p81 :rule trans :premises (@p80 @p71)) % 15.95/16.71 (step @p82 :rule bool-impl-elim :args (@t2 @t113)) % 15.95/16.71 (step @p83 :rule cong :premises (@p82) :args ((forall @t3 (=> @t2 @t113)))) % 15.95/16.71 (step @p84 :rule trans :premises (@p83 @p81)) % 15.95/16.71 (step @p85 :rule bool-and-de-morgan :args (@t62 @t98 true)) % 15.95/16.71 (step @p86 :rule cong :premises (@p85) :args (@t115)) % 15.95/16.71 (step @p87 :rule cong :premises (@p86) :args (@t116)) % 15.95/16.71 (step @p88 :rule exists-elim :args ((= (exists @t45 @t114) @t116))) % 15.95/16.71 (step @p89 :rule trans :premises (@p88 @p87)) % 15.95/16.71 (step @p90 :rule eq-symm :args (@t65 @t13)) % 15.95/16.71 (step @p91 :rule refl :args (@t62)) % 15.95/16.71 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t66)) % 15.95/16.71 (step @p93 :rule cong :premises (@p92) :args (@t67)) % 15.95/16.71 (step @p94 :rule trans :premises (@p93 @p89)) % 15.95/16.71 (step @p95 :rule refl :args (@t37)) % 15.95/16.71 (step @p96 :rule cong :premises (@p95 @p94) :args (@t68)) % 15.95/16.71 (step @p97 :rule cong :premises (@p96) :args (@t69)) % 15.95/16.71 (step @p98 :rule refl :args (@t39)) % 15.95/16.71 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t70)) % 15.95/16.71 (step @p100 :rule refl :args (@t72)) % 15.95/16.71 (step @p101 :rule cong :premises (@p100 @p99) :args (@t73)) % 15.95/16.71 (step @p102 :rule cong :premises (@p101) :args (@t74)) % 15.95/16.71 (step @p103 :rule cong :premises (@p50 @p102) :args (@t75)) % 15.95/16.71 (step @p104 :rule cong :premises (@p103) :args (@t76)) % 15.95/16.71 (step @p105 :rule trans :premises (@p104 @p84)) % 15.95/16.71 (step @p106 :rule eq_resolve :premises (@p37 @p105)) % 15.95/16.71 (step @p107 :rule bool-eq-true :args (@t122)) % 15.95/16.71 (step @p108 :rule eq-symm :args (true @t122)) % 15.95/16.71 (step @p109 :rule trans :premises (@p108 @p107)) % 15.95/16.71 (step @p110 :rule eq-symm :args (@t118 @t119)) % 15.95/16.71 (step @p111 :rule cong :premises (@p110) :args (@t123)) % 15.95/16.71 (step @p112 :rule refl :args (@t121)) % 15.95/16.71 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t124)) % 15.95/16.71 (step @p114 :rule eq-refl :args (@t81)) % 15.95/16.71 (step @p115 :rule cong :premises (@p114 @p113) :args (@t125)) % 15.95/16.71 (step @p116 :rule trans :premises (@p115 @p109)) % 15.95/16.71 (step @p117 :rule refl :args (@t92)) % 15.95/16.71 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t126)) % 15.95/16.71 (step @p119 :rule refl :args (@t127)) % 15.95/16.71 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t127 @t126))) % 15.95/16.71 (assume-push @p372 @t127) % 15.95/16.71 (step @p122 :rule instantiate :premises (@p106) :args ((@list tptp.xb @t81))) % 15.95/16.71 (step-pop @p373 :rule scope :premises (@p122)) % 15.95/16.71 (step @p123 :rule process_scope :premises (@p373) :args (@t126)) % 15.95/16.71 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 15.95/16.71 (step @p126 :rule implies_elim :premises (@p125)) % 15.95/16.71 (step @p127 :rule chain_m_resolution :premises (@p126 @p106) :args (@t128 @t95 @t129)) % 15.95/16.71 (step @p128 :rule cnf_or_pos :args (@t128)) % 15.95/16.71 (step @p129 :rule reordering :premises (@p128) :args ((or @t92 @t122 (not @t128)))) % 15.95/16.71 (step @p130 :rule chain_m_resolution :premises (@p129 @p56 @p127) :args (@t122 @t94 (@list @t79 @t128))) % 15.95/16.71 (step @p131 :rule cnf_and_pos :args (@t122 1)) % 15.95/16.71 (step @p132 :rule reordering :premises (@p131) :args ((or @t120 (not @t122)))) % 15.95/16.71 (step @p133 :rule chain_m_resolution :premises (@p132 @p130) :args (@t120 @t95 (@list @t122))) % 15.95/16.71 (step @p134 :rule instantiate :premises (@p133) :args (@t88)) % 15.95/16.71 (step @p135 :rule bool-impl-elim :args (@t2 @t130)) % 15.95/16.71 (step @p136 :rule cong :premises (@p135) :args ((forall @t3 (=> @t2 @t130)))) % 15.95/16.71 (step @p137 :rule refl :args (@t19)) % 15.95/16.71 (step @p138 :rule eq-symm :args (@t20 @t1)) % 15.95/16.71 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t21)) % 15.95/16.71 (step @p140 :rule cong :premises (@p50 @p139) :args (@t22)) % 15.95/16.71 (step @p141 :rule cong :premises (@p140) :args (@t23)) % 15.95/16.71 (step @p142 :rule trans :premises (@p141 @p136)) % 15.95/16.71 (step @p143 :rule eq_resolve :premises (@p13 @p142)) % 15.95/16.71 (step @p144 :rule instantiate :premises (@p143) :args (@t88)) % 15.95/16.71 (step @p145 :rule cnf_or_pos :args (@t133)) % 15.95/16.71 (step @p146 :rule reordering :premises (@p145) :args ((or @t92 @t132 (not @t133)))) % 15.95/16.71 (step @p147 :rule chain_m_resolution :premises (@p146 @p56 @p144) :args (@t132 @t94 (@list @t79 @t133))) % 15.95/16.71 (step @p148 :rule cnf_and_pos :args (@t132 0)) % 15.95/16.71 (step @p149 :rule reordering :premises (@p148) :args ((or @t131 (not @t132)))) % 15.95/16.71 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t131 @t95 (@list @t132))) % 15.95/16.71 (step @p151 :rule cnf_or_pos :args (@t136)) % 15.95/16.71 (step @p152 :rule reordering :premises (@p151) :args ((or @t135 @t134 @t137))) % 15.95/16.71 (step @p153 :rule chain_m_resolution :premises (@p152 @p3 @p150) :args (@t137 @t94 (@list @t5 @t131))) % 15.95/16.71 (assume-push @p374 @t138) % 15.95/16.71 (step @p155 :rule instantiate :premises (@p374) :args (@t139)) % 15.95/16.71 (step-pop @p375 :rule scope :premises (@p155)) % 15.95/16.71 (step @p156 :rule process_scope :premises (@p375) :args (@t136)) % 15.95/16.71 (step @p158 :rule implies_elim :premises (@p156)) % 15.95/16.71 (step @p159 :rule chain_m_resolution :premises (@p158 @p153) :args (@t140 @t141 (@list @t136))) % 15.95/16.71 (step @p160 :rule bool-double-not-elim :args (@t138)) % 15.95/16.71 (step @p161 :rule refl :args (@t83)) % 15.95/16.71 (step @p162 :rule refl :args (@t143)) % 15.95/16.71 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args ((or @t143 @t83 (not @t140)))) % 15.95/16.71 (step @p164 :rule cnf_equiv_pos2 :args (@t142)) % 15.95/16.71 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 15.95/16.71 (step @p166 :rule reordering :premises (@p165) :args ((or @t83 @t138 @t143))) % 15.95/16.71 (step @p167 :rule chain_m_resolution :premises (@p166 @p159 @p134) :args (@t83 @t144 (@list @t138 @t142))) % 15.95/16.71 (step @p168 :rule bool-eq-true :args (@t150)) % 15.95/16.71 (step @p169 :rule eq-symm :args (true @t150)) % 15.95/16.71 (step @p170 :rule trans :premises (@p169 @p168)) % 15.95/16.71 (step @p171 :rule eq-symm :args (@t146 @t147)) % 15.95/16.71 (step @p172 :rule cong :premises (@p171) :args (@t151)) % 15.95/16.71 (step @p173 :rule refl :args (@t149)) % 15.95/16.71 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t152)) % 15.95/16.71 (step @p175 :rule eq-refl :args (@t82)) % 15.95/16.71 (step @p176 :rule cong :premises (@p175 @p174) :args (@t153)) % 15.95/16.71 (step @p177 :rule trans :premises (@p176 @p170)) % 15.95/16.71 (step @p178 :rule refl :args (@t154)) % 15.95/16.71 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t155)) % 15.95/16.71 (step @p180 :rule cong :premises (@p119 @p179) :args ((=> @t127 @t155))) % 15.95/16.71 (assume-push @p376 @t127) % 15.95/16.71 (step @p182 :rule instantiate :premises (@p106) :args ((@list tptp.xa @t82))) % 15.95/16.71 (step-pop @p377 :rule scope :premises (@p182)) % 15.95/16.71 (step @p183 :rule process_scope :premises (@p377) :args (@t155)) % 15.95/16.71 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 15.95/16.71 (step @p186 :rule implies_elim :premises (@p185)) % 15.95/16.71 (step @p187 :rule chain_m_resolution :premises (@p186 @p106) :args (@t156 @t95 @t129)) % 15.95/16.71 (step @p188 :rule and_elim :premises (@p39) :args (0)) % 15.95/16.71 (step @p189 :rule cnf_or_pos :args (@t156)) % 15.95/16.71 (step @p190 :rule reordering :premises (@p189) :args ((or @t154 @t150 (not @t156)))) % 15.95/16.71 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p187) :args (@t150 @t94 (@list @t80 @t156))) % 15.95/16.71 (step @p192 :rule cnf_and_pos :args (@t150 1)) % 15.95/16.71 (step @p193 :rule reordering :premises (@p192) :args ((or @t148 (not @t150)))) % 15.95/16.71 (step @p194 :rule chain_m_resolution :premises (@p193 @p191) :args (@t148 @t95 (@list @t150))) % 15.95/16.71 (step @p195 :rule instantiate :premises (@p194) :args (@t157)) % 15.95/16.71 (step @p196 :rule instantiate :premises (@p143) :args (@t157)) % 15.95/16.71 (step @p197 :rule cnf_or_pos :args (@t160)) % 15.95/16.71 (step @p198 :rule reordering :premises (@p197) :args ((or @t154 @t159 (not @t160)))) % 15.95/16.71 (step @p199 :rule chain_m_resolution :premises (@p198 @p188 @p196) :args (@t159 @t94 (@list @t80 @t160))) % 15.95/16.71 (step @p200 :rule cnf_and_pos :args (@t159 0)) % 15.95/16.71 (step @p201 :rule reordering :premises (@p200) :args ((or @t158 (not @t159)))) % 15.95/16.71 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t158 @t95 (@list @t159))) % 15.95/16.71 (step @p203 :rule cnf_or_pos :args (@t162)) % 15.95/16.71 (step @p204 :rule reordering :premises (@p203) :args ((or @t135 @t161 @t163))) % 15.95/16.71 (step @p205 :rule chain_m_resolution :premises (@p204 @p3 @p202) :args (@t163 @t94 (@list @t5 @t158))) % 15.95/16.71 (assume-push @p378 @t164) % 15.95/16.71 (step @p207 :rule instantiate :premises (@p378) :args (@t139)) % 15.95/16.71 (step-pop @p379 :rule scope :premises (@p207)) % 15.95/16.71 (step @p208 :rule process_scope :premises (@p379) :args (@t162)) % 15.95/16.71 (step @p210 :rule implies_elim :premises (@p208)) % 15.95/16.71 (step @p211 :rule chain_m_resolution :premises (@p210 @p205) :args (@t165 @t141 (@list @t162))) % 15.95/16.71 (step @p212 :rule bool-double-not-elim :args (@t164)) % 15.95/16.71 (step @p213 :rule refl :args (@t85)) % 15.95/16.71 (step @p214 :rule refl :args (@t167)) % 15.95/16.71 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212) :args ((or @t167 @t85 (not @t165)))) % 15.95/16.71 (step @p216 :rule cnf_equiv_pos2 :args (@t166)) % 15.95/16.71 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 15.95/16.71 (step @p218 :rule reordering :premises (@p217) :args ((or @t85 @t164 @t167))) % 15.95/16.71 (step @p219 :rule chain_m_resolution :premises (@p218 @p211 @p195) :args (@t85 @t144 (@list @t164 @t166))) % 15.95/16.71 (step @p220 :rule quant-merge-prenex :args ((= (forall @t35 @t180) (forall @t178 @t177)))) % 15.95/16.71 (step @p221 :rule alpha_equiv :args (@t181 (@list @t168) @t182)) % 15.95/16.71 (step @p222 :rule quant-unused-vars :args ((= @t183 @t181))) % 15.95/16.71 (step @p223 :rule trans :premises (@p222 @p221)) % 15.95/16.71 (step @p224 :rule alpha_equiv :args (@t184 (@list @t172) @t182)) % 15.95/16.71 (step @p225 :rule quant-unused-vars :args ((= @t185 @t184))) % 15.95/16.71 (step @p226 :rule trans :premises (@p225 @p224)) % 15.95/16.71 (step @p227 :rule nary_cong :premises (@p226 @p223) :args (@t186)) % 15.95/16.71 (step @p228 :rule quant-miniscope-and :args ((= @t187 @t186))) % 15.95/16.71 (step @p229 :rule trans :premises (@p228 @p227)) % 15.95/16.71 (step @p230 :rule refl :args (@t176)) % 15.95/16.71 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t188)) % 15.95/16.71 (step @p232 :rule quant-miniscope-or :args ((= @t180 @t188))) % 15.95/16.71 (step @p233 :rule trans :premises (@p232 @p231)) % 15.95/16.71 (step @p234 :rule symm :premises (@p233)) % 15.95/16.71 (step @p235 :rule cong :premises (@p234) :args ((forall @t35 (or @t176 @t189)))) % 15.95/16.71 (step @p236 :rule trans :premises (@p235 @p220)) % 15.95/16.71 (step @p237 :rule bool-impl-elim :args (@t34 @t189)) % 15.95/16.71 (step @p238 :rule cong :premises (@p237) :args ((forall @t35 (=> @t34 @t189)))) % 15.95/16.71 (step @p239 :rule trans :premises (@p238 @p236)) % 15.95/16.71 (step @p240 :rule bool-impl-elim :args (@t15 @t50)) % 15.95/16.71 (step @p241 :rule cong :premises (@p240) :args (@t51)) % 15.95/16.71 (step @p242 :rule bool-impl-elim :args (@t36 @t52)) % 15.95/16.71 (step @p243 :rule cong :premises (@p242) :args (@t53)) % 15.95/16.71 (step @p244 :rule nary_cong :premises (@p243 @p241) :args (@t54)) % 15.95/16.71 (step @p245 :rule refl :args (@t34)) % 15.95/16.71 (step @p246 :rule cong :premises (@p245 @p244) :args (@t55)) % 15.95/16.71 (step @p247 :rule cong :premises (@p246) :args (@t56)) % 15.95/16.71 (step @p248 :rule trans :premises (@p247 @p239)) % 15.95/16.71 (step @p249 :rule refl :args (@t33)) % 15.95/16.71 (step @p250 :rule nary_cong :premises (@p249 @p248) :args (@t57)) % 15.95/16.71 (step @p251 :rule refl :args (@t58)) % 15.95/16.71 (step @p252 :rule cong :premises (@p251 @p250) :args (@t59)) % 15.95/16.71 (step @p253 :rule cong :premises (@p252) :args (@t60)) % 15.95/16.71 (step @p254 :rule eq_resolve :premises (@p24 @p253)) % 15.95/16.71 (step @p255 :rule instantiate :premises (@p254) :args ((@list @t82))) % 15.95/16.71 (step @p256 :rule bool-impl-elim :args (@t2 @t77)) % 15.95/16.71 (step @p257 :rule cong :premises (@p256) :args (@t78)) % 15.95/16.71 (step @p258 :rule eq_resolve :premises (@p38 @p257)) % 15.95/16.71 (step @p259 :rule instantiate :premises (@p258) :args (@t157)) % 15.95/16.71 (step @p260 :rule cnf_or_pos :args (@t191)) % 15.95/16.71 (step @p261 :rule reordering :premises (@p260) :args ((or @t154 @t190 (not @t191)))) % 15.95/16.71 (step @p262 :rule chain_m_resolution :premises (@p261 @p188 @p259) :args (@t190 @t94 (@list @t80 @t191))) % 15.95/16.71 (step @p263 :rule cnf_equiv_pos1 :args (@t194)) % 15.95/16.71 (step @p264 :rule reordering :premises (@p263) :args ((or @t193 (not @t190) (not @t194)))) % 15.95/16.71 (step @p265 :rule chain_m_resolution :premises (@p264 @p262 @p255) :args (@t193 @t94 (@list @t190 @t194))) % 15.95/16.71 (step @p266 :rule cnf_and_pos :args (@t193 1)) % 15.95/16.71 (step @p267 :rule reordering :premises (@p266) :args ((or @t192 (not @t193)))) % 15.95/16.71 (step @p268 :rule chain_m_resolution :premises (@p267 @p265) :args (@t192 @t95 (@list @t193))) % 15.95/16.71 (step @p269 :rule instantiate :premises (@p268) :args ((@list tptp.xa tptp.sz10 tptp.sz00))) % 15.95/16.71 (step @p270 :rule cnf_or_pos :args (@t201)) % 15.95/16.71 (step @p271 :rule reordering :premises (@p270) :args ((or @t200 @t199 (not @t201)))) % 15.95/16.71 (step @p272 :rule chain_m_resolution :premises (@p271 @p219 @p269) :args (@t199 @t94 (@list @t85 @t201))) % 15.95/16.71 (step @p273 :rule cnf_and_pos :args (@t199 1)) % 15.95/16.71 (step @p274 :rule reordering :premises (@p273) :args ((or @t198 (not @t199)))) % 15.95/16.71 (step @p275 :rule chain_m_resolution :premises (@p274 @p272) :args (@t198 @t95 (@list @t199))) % 15.95/16.71 (step @p276 :rule cnf_or_pos :args (@t198)) % 15.95/16.71 (step @p277 :rule reordering :premises (@p276) :args ((or @t197 @t196 (not @t198)))) % 15.95/16.71 (step @p278 :rule chain_m_resolution :premises (@p277 @p2 @p275) :args (@t196 @t94 (@list @t4 @t198))) % 15.95/16.71 (step @p279 :rule instantiate :premises (@p54) :args (@t157)) % 15.95/16.71 (step @p280 :rule cnf_or_pos :args (@t204)) % 15.95/16.71 (step @p281 :rule reordering :premises (@p280) :args ((or @t154 @t203 (not @t204)))) % 15.95/16.71 (step @p282 :rule chain_m_resolution :premises (@p281 @p188 @p279) :args (@t203 @t94 (@list @t80 @t204))) % 15.95/16.71 (step @p283 :rule cnf_and_pos :args (@t203 1)) % 15.95/16.71 (step @p284 :rule reordering :premises (@p283) :args ((or @t202 (not @t203)))) % 15.95/16.71 (step @p285 :rule chain_m_resolution :premises (@p284 @p282) :args (@t202 @t95 (@list @t203))) % 15.95/16.71 (step @p286 :rule refl :args (@t205)) % 15.95/16.71 (step @p287 :rule refl :args (@t206)) % 15.95/16.71 (step @p288 :rule bool-double-not-elim :args (@t86)) % 15.95/16.71 (step @p289 :rule nary_cong :premises (@p288 @p287 @p286) :args ((or (not @t207) @t206 @t205))) % 15.95/16.71 (assume-push @p380 @t196) % 15.95/16.71 (assume-push @p381 @t202) % 15.95/16.71 (assume-push @p382 @t207) % 15.95/16.71 (step @p293 :rule evaluate :args (@t208)) % 15.95/16.71 (step @p294 :rule true_intro :premises (@p380)) % 15.95/16.71 (step @p295 :rule refl :args (@t82)) % 15.95/16.71 (step @p296 :rule cong :premises (@p285 @p295) :args (@t86)) % 15.95/16.71 (step @p297 :rule false_intro :premises (@p382)) % 15.95/16.71 (step @p298 :rule symm :premises (@p297)) % 15.95/16.71 (step @p299 :rule trans :premises (@p298 @p296 @p294)) % 15.95/16.71 (step @p300 false :rule eq_resolve :premises (@p299 @p293)) % 15.95/16.71 (step-pop @p383 :rule scope :premises (@p300)) % 15.95/16.71 (step-pop @p384 :rule scope :premises (@p383)) % 15.95/16.71 (step-pop @p385 :rule scope :premises (@p384)) % 15.95/16.71 (step @p301 :rule process_scope :premises (@p385) :args (false)) % 15.95/16.71 (assume-push @p386 @t207) % 15.95/16.71 (assume-push @p387 @t202) % 15.95/16.71 (assume-push @p388 @t196) % 15.95/16.71 (step @p308 :rule and_intro :premises (@p388 @p285 @p386)) % 15.95/16.71 (step-pop @p389 :rule scope :premises (@p308)) % 15.95/16.71 (step-pop @p390 :rule scope :premises (@p389)) % 15.95/16.71 (step-pop @p391 :rule scope :premises (@p390)) % 15.95/16.71 (step @p309 :rule process_scope :premises (@p391) :args (@t209)) % 15.95/16.71 (step @p313 :rule implies_elim :premises (@p309)) % 15.95/16.71 (step @p314 :rule resolution :premises (@p313 @p301) :args (true @t209)) % 15.95/16.71 (step @p315 :rule not_and :premises (@p314)) % 15.95/16.71 (step @p316 :rule eq_resolve :premises (@p315 @p289)) % 15.95/16.71 (step @p317 :rule chain_m_resolution :premises (@p316 @p285 @p278) :args (@t86 @t94 (@list @t202 @t196))) % 15.95/16.71 (step @p318 :rule not_and :premises (@p43)) % 15.95/16.71 (step @p319 :rule chain_m_resolution :premises (@p318 @p317 @p219 @p167) :args (@t210 (@list false false false) (@list @t86 @t85 @t83))) % 15.95/16.71 (step @p320 :rule instantiate :premises (@p254) :args ((@list @t81))) % 15.95/16.71 (step @p321 :rule instantiate :premises (@p258) :args (@t88)) % 15.95/16.71 (step @p322 :rule cnf_or_pos :args (@t212)) % 15.95/16.71 (step @p323 :rule reordering :premises (@p322) :args ((or @t92 @t211 (not @t212)))) % 15.95/16.71 (step @p324 :rule chain_m_resolution :premises (@p323 @p56 @p321) :args (@t211 @t94 (@list @t79 @t212))) % 15.95/16.71 (step @p325 :rule cnf_equiv_pos1 :args (@t215)) % 15.95/16.71 (step @p326 :rule reordering :premises (@p325) :args ((or @t214 (not @t211) (not @t215)))) % 15.95/16.71 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p320) :args (@t214 @t94 (@list @t211 @t215))) % 15.95/16.71 (step @p328 :rule cnf_and_pos :args (@t214 1)) % 15.95/16.71 (step @p329 :rule reordering :premises (@p328) :args ((or @t213 (not @t214)))) % 15.95/16.71 (step @p330 :rule chain_m_resolution :premises (@p329 @p327) :args (@t213 @t95 (@list @t214))) % 15.95/16.71 (step @p331 :rule instantiate :premises (@p330) :args ((@list tptp.xb tptp.sz10 tptp.sz00))) % 15.95/16.71 (step @p332 :rule cnf_or_pos :args (@t220)) % 15.95/16.71 (step @p333 :rule reordering :premises (@p332) :args ((or @t219 @t218 (not @t220)))) % 15.95/16.71 (step @p334 :rule chain_m_resolution :premises (@p333 @p167 @p331) :args (@t218 @t94 (@list @t83 @t220))) % 15.95/16.71 (step @p335 :rule cnf_and_pos :args (@t218 1)) % 15.95/16.71 (step @p336 :rule reordering :premises (@p335) :args ((or @t217 (not @t218)))) % 15.95/16.71 (step @p337 :rule chain_m_resolution :premises (@p336 @p334) :args (@t217 @t95 (@list @t218))) % 15.95/16.71 (step @p338 :rule cnf_or_pos :args (@t217)) % 15.95/16.71 (step @p339 :rule reordering :premises (@p338) :args ((or @t197 @t216 (not @t217)))) % 15.95/16.71 (step @p340 :rule chain_m_resolution :premises (@p339 @p2 @p337) :args (@t216 @t94 (@list @t4 @t217))) % 15.95/16.71 (step @p341 :rule refl :args (@t221)) % 15.95/16.71 (step @p342 :rule refl :args (@t222)) % 15.95/16.71 (step @p343 :rule bool-double-not-elim :args (@t84)) % 15.95/16.71 (step @p344 :rule nary_cong :premises (@p343 @p342 @p341) :args ((or (not @t210) @t222 @t221))) % 15.95/16.71 (assume-push @p392 @t216) % 15.95/16.71 (assume-push @p393 @t90) % 15.95/16.71 (assume-push @p394 @t210) % 15.95/16.71 (step @p293 :rule evaluate :args (@t208)) % 15.95/16.71 (step @p348 :rule true_intro :premises (@p392)) % 15.95/16.71 (step @p349 :rule refl :args (@t81)) % 15.95/16.71 (step @p350 :rule cong :premises (@p62 @p349) :args (@t84)) % 15.95/16.71 (step @p351 :rule false_intro :premises (@p394)) % 15.95/16.71 (step @p352 :rule symm :premises (@p351)) % 15.95/16.71 (step @p353 :rule trans :premises (@p352 @p350 @p348)) % 15.95/16.71 (step @p354 false :rule eq_resolve :premises (@p353 @p293)) % 15.95/16.71 (step-pop @p395 :rule scope :premises (@p354)) % 15.95/16.71 (step-pop @p396 :rule scope :premises (@p395)) % 15.95/16.71 (step-pop @p397 :rule scope :premises (@p396)) % 15.95/16.71 (step @p355 :rule process_scope :premises (@p397) :args (false)) % 15.95/16.71 (assume-push @p398 @t210) % 15.95/16.71 (assume-push @p399 @t90) % 15.95/16.71 (assume-push @p400 @t216) % 15.95/16.71 (step @p362 :rule and_intro :premises (@p400 @p62 @p398)) % 15.95/16.71 (step-pop @p401 :rule scope :premises (@p362)) % 15.95/16.71 (step-pop @p402 :rule scope :premises (@p401)) % 15.95/16.71 (step-pop @p403 :rule scope :premises (@p402)) % 15.95/16.71 (step @p363 :rule process_scope :premises (@p403) :args (@t223)) % 15.95/16.71 (step @p367 :rule implies_elim :premises (@p363)) % 15.95/16.71 (step @p368 :rule resolution :premises (@p367 @p355) :args (true @t223)) % 15.95/16.71 (step @p369 :rule not_and :premises (@p368)) % 15.95/16.71 (step @p370 :rule eq_resolve :premises (@p369 @p344)) % 15.95/16.71 (step @p371 false :rule chain_m_resolution :premises (@p370 @p340 @p319 @p62) :args (false (@list false true false) (@list @t216 @t84 @t90))) % 15.95/16.71 ) % 15.95/16.71 % SZS output end Proof % 15.95/16.71 % cvc5 exiting %------------------------------------------------------------------------------