%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW102+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:04:27 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW102+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 21:36:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.not1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.and1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.lazy_impl (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.bool (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.true $$unsorted) % 0.46/0.66 (declare-const tptp.existsprefers (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.exists1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.not2 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.prop (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.forallprefers (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.or2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.d (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.false $$unsorted) % 0.46/0.66 (declare-const tptp.and2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.lazy_and1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.or1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.f2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.err $$unsorted) % 0.46/0.66 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.phi (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.lazy_and2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.false2 $$unsorted) % 0.46/0.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.false1 $$unsorted) % 0.46/0.66 (declare-const tptp.f3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.exists2 (-> $$unsorted $$unsorted)) % 0.46/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.66 (define @t2 () (= @t1 tptp.true)) % 0.46/0.66 (define @t3 () (= @t1 tptp.false)) % 0.46/0.66 (define @t4 () (or @t3 @t2)) % 0.46/0.66 (define @t5 () (tptp.bool @t1)) % 0.46/0.66 (define @t6 () (= @t5 @t4)) % 0.46/0.66 (define @t7 () (@list @t1)) % 0.46/0.66 (define @t8 () (forall @t7 @t6)) % 0.46/0.66 (define @t9 () (= tptp.false tptp.err)) % 0.46/0.66 (define @t10 () (= tptp.true tptp.err)) % 0.46/0.66 (define @t11 () (tptp.d tptp.false)) % 0.46/0.66 (define @t12 () (tptp.d tptp.true)) % 0.46/0.66 (define @t13 () (@var "Y" $$unsorted)) % 0.46/0.66 (define @t14 () (and @t3 (= @t13 tptp.true))) % 0.46/0.66 (define @t15 () (not @t5)) % 0.46/0.66 (define @t16 () (tptp.d @t13)) % 0.46/0.66 (define @t17 () (tptp.d @t1)) % 0.46/0.66 (define @t18 () (and @t17 @t16 @t15 (tptp.bool @t13))) % 0.46/0.66 (define @t19 () (not @t17)) % 0.46/0.66 (define @t20 () (and @t19 @t16)) % 0.46/0.66 (define @t21 () (or @t20 @t18 @t14)) % 0.46/0.66 (define @t22 () (tptp.forallprefers @t1 @t13)) % 0.46/0.66 (define @t23 () (= @t22 @t21)) % 0.46/0.66 (define @t24 () (@list @t1 @t13)) % 0.46/0.66 (define @t25 () (forall @t24 @t23)) % 0.46/0.66 (define @t26 () (tptp.phi @t1)) % 0.46/0.66 (define @t27 () (and @t19 (= @t26 tptp.err))) % 0.46/0.66 (define @t28 () (and @t17 (= @t26 @t1))) % 0.46/0.66 (define @t29 () (or @t28 @t27)) % 0.46/0.66 (define @t30 () (forall @t7 @t29)) % 0.46/0.66 (define @t31 () (tptp.prop @t1)) % 0.46/0.66 (define @t32 () (= @t31 tptp.true)) % 0.46/0.66 (define @t33 () (forall @t7 (= @t32 @t5))) % 0.46/0.66 (define @t34 () (= @t31 tptp.false)) % 0.46/0.66 (define @t35 () (forall @t7 (= @t34 @t15))) % 0.46/0.66 (define @t36 () (@var "A" $$unsorted)) % 0.46/0.66 (define @t37 () (tptp.phi @t36)) % 0.46/0.66 (define @t38 () (@var "B" $$unsorted)) % 0.46/0.66 (define @t39 () (tptp.impl @t36 @t38)) % 0.46/0.66 (define @t40 () (= @t39 @t37)) % 0.46/0.66 (define @t41 () (tptp.bool @t36)) % 0.46/0.66 (define @t42 () (not @t41)) % 0.46/0.66 (define @t43 () (@list @t36 @t38)) % 0.46/0.66 (define @t44 () (forall @t43 (=> @t42 @t40))) % 0.46/0.66 (define @t45 () (tptp.phi @t38)) % 0.46/0.66 (define @t46 () (tptp.bool @t38)) % 0.46/0.66 (define @t47 () (and @t41 (not @t46))) % 0.46/0.66 (define @t48 () (tptp.impl tptp.false @t38)) % 0.46/0.66 (define @t49 () (=> @t46 (= @t48 tptp.true))) % 0.46/0.66 (define @t50 () (@list @t38)) % 0.46/0.66 (define @t51 () (forall @t50 @t49)) % 0.46/0.66 (define @t52 () (tptp.impl tptp.true @t38)) % 0.46/0.66 (define @t53 () (=> @t46 (= @t52 @t38))) % 0.46/0.66 (define @t54 () (forall @t50 @t53)) % 0.46/0.66 (define @t55 () (tptp.lazy_impl tptp.false @t38)) % 0.46/0.66 (define @t56 () (forall @t50 (= @t55 tptp.true))) % 0.46/0.66 (define @t57 () (tptp.lazy_impl tptp.true @t38)) % 0.46/0.66 (define @t58 () (forall @t50 (= @t57 @t45))) % 0.46/0.66 (define @t59 () (tptp.and1 @t36 @t38)) % 0.46/0.66 (define @t60 () (@var "R" $$unsorted)) % 0.46/0.66 (define @t61 () (@var "Q" $$unsorted)) % 0.46/0.66 (define @t62 () (tptp.impl @t61 @t60)) % 0.46/0.66 (define @t63 () (@var "P" $$unsorted)) % 0.46/0.66 (define @t64 () (tptp.prop @t60)) % 0.46/0.66 (define @t65 () (tptp.f1 @t63 @t61 @t60)) % 0.46/0.66 (define @t66 () (@list @t63 @t61 @t60)) % 0.46/0.66 (define @t67 () (@var "R1" $$unsorted)) % 0.46/0.66 (define @t68 () (@list @t67)) % 0.46/0.66 (define @t69 () (@list @t60)) % 0.46/0.66 (define @t70 () (@list @t63 @t61)) % 0.46/0.66 (define @t71 () (tptp.lazy_and1 tptp.true @t38)) % 0.46/0.66 (define @t72 () (forall @t50 (= @t71 @t45))) % 0.46/0.66 (define @t73 () (tptp.f2 @t63 @t61 @t60)) % 0.46/0.66 (define @t74 () (tptp.or1 @t36 @t38)) % 0.46/0.66 (define @t75 () (tptp.f3 @t63 @t61 @t60)) % 0.46/0.66 (define @t76 () (tptp.apply @t63 @t1)) % 0.46/0.66 (define @t77 () (@var "X1" $$unsorted)) % 0.46/0.66 (define @t78 () (@list @t77)) % 0.46/0.66 (define @t79 () (@list @t63)) % 0.46/0.66 (define @t80 () (tptp.f4 @t63 @t1 @t60)) % 0.46/0.66 (define @t81 () (tptp.f5 @t63 @t60)) % 0.46/0.66 (define @t82 () (@list @t63 @t60)) % 0.46/0.66 (define @t83 () (tptp.f6 @t63 @t60)) % 0.46/0.66 (define @t84 () (tptp.f7 @t63)) % 0.46/0.66 (define @t85 () (@var "P1" $$unsorted)) % 0.46/0.66 (define @t86 () (tptp.f7 @t85)) % 0.46/0.66 (define @t87 () (tptp.forallprefers @t86 @t84)) % 0.46/0.66 (define @t88 () (@list @t85)) % 0.46/0.66 (define @t89 () (exists @t88 @t87)) % 0.46/0.66 (define @t90 () (not @t89)) % 0.46/0.66 (define @t91 () (= tptp.false2 (tptp.phi @t84))) % 0.46/0.66 (define @t92 () (and @t91 @t90)) % 0.46/0.66 (define @t93 () (exists @t79 @t92)) % 0.46/0.66 (define @t94 () (tptp.not1 @t36)) % 0.46/0.66 (define @t95 () (=> @t42 (= @t94 @t37))) % 0.46/0.66 (define @t96 () (@list @t36)) % 0.46/0.66 (define @t97 () (forall @t96 @t95)) % 0.46/0.66 (define @t98 () (tptp.not1 tptp.false)) % 0.46/0.66 (define @t99 () (tptp.not1 tptp.true)) % 0.46/0.66 (define @t100 () (tptp.not2 @t63)) % 0.46/0.66 (define @t101 () (tptp.not1 @t63)) % 0.46/0.66 (define @t102 () (forall @t79 (= @t101 @t100))) % 0.46/0.66 (define @t103 () (not @t102)) % 0.46/0.66 (define @t104 () (forall @t88 (not @t87))) % 0.46/0.66 (define @t105 () (and @t91 @t104)) % 0.46/0.66 (define @t106 () (forall @t79 (not @t105))) % 0.46/0.66 (define @t107 () (not @t106)) % 0.46/0.66 (define @t108 () (not @t104)) % 0.46/0.66 (define @t109 () (@quantifiers_skolemize (forall @t79 (or (not @t91) @t108)) 0)) % 0.46/0.66 (define @t110 () (tptp.f7 @t109)) % 0.46/0.66 (define @t111 () (tptp.phi @t110)) % 0.46/0.66 (define @t112 () (= tptp.false2 @t111)) % 0.46/0.66 (define @t113 () (forall @t88 (not (tptp.forallprefers @t86 @t110)))) % 0.46/0.66 (define @t114 () (not @t113)) % 0.46/0.66 (define @t115 () (not @t112)) % 0.46/0.66 (define @t116 () (or @t115 @t114)) % 0.46/0.66 (define @t117 () (@list true)) % 0.46/0.66 (define @t118 () (@list @t116)) % 0.46/0.66 (define @t119 () (@list @t109)) % 0.46/0.66 (define @t120 () (@list tptp.false)) % 0.46/0.66 (define @t121 () (tptp.phi tptp.false)) % 0.46/0.66 (define @t122 () (not @t11)) % 0.46/0.66 (define @t123 () (and @t122 (= tptp.err @t121))) % 0.46/0.66 (define @t124 () (not @t123)) % 0.46/0.66 (define @t125 () (@list false)) % 0.46/0.66 (define @t126 () (= tptp.false @t121)) % 0.46/0.66 (define @t127 () (and @t11 @t126)) % 0.46/0.66 (define @t128 () (or @t127 @t123)) % 0.46/0.66 (define @t129 () (@list true false)) % 0.46/0.66 (define @t130 () (= @t37 @t94)) % 0.46/0.66 (define @t131 () (not @t42)) % 0.46/0.66 (define @t132 () (tptp.bool tptp.false)) % 0.46/0.66 (define @t133 () (or @t132 (= @t121 @t98))) % 0.46/0.66 (define @t134 () (forall @t96 (or @t41 @t130))) % 0.46/0.66 (define @t135 () (= @t98 @t121)) % 0.46/0.66 (define @t136 () (or @t132 @t135)) % 0.46/0.66 (define @t137 () (@list @t134)) % 0.46/0.66 (define @t138 () (@list tptp.err)) % 0.46/0.66 (define @t139 () (or @t9 @t10)) % 0.46/0.66 (define @t140 () (not @t139)) % 0.46/0.66 (define @t141 () (tptp.bool tptp.err)) % 0.46/0.66 (define @t142 () (= @t141 @t139)) % 0.46/0.66 (define @t143 () (not @t141)) % 0.46/0.66 (define @t144 () (tptp.prop tptp.err)) % 0.46/0.66 (define @t145 () (= tptp.true @t144)) % 0.46/0.66 (define @t146 () (= @t141 @t145)) % 0.46/0.66 (define @t147 () (not @t145)) % 0.46/0.66 (define @t148 () (= tptp.false @t144)) % 0.46/0.66 (define @t149 () (= @t143 @t148)) % 0.46/0.66 (define @t150 () (not @t149)) % 0.46/0.66 (define @t151 () (tptp.prop tptp.false)) % 0.46/0.66 (define @t152 () (= tptp.true @t151)) % 0.46/0.66 (define @t153 () (= @t132 @t152)) % 0.46/0.66 (define @t154 () (not @t132)) % 0.46/0.66 (define @t155 () (@list false false)) % 0.46/0.66 (define @t156 () (= tptp.true @t48)) % 0.46/0.66 (define @t157 () (= tptp.true (tptp.impl tptp.false tptp.false))) % 0.46/0.66 (define @t158 () (or @t154 @t157)) % 0.46/0.66 (define @t159 () (tptp.forallprefers tptp.false tptp.true)) % 0.46/0.66 (define @t160 () (tptp.bool tptp.true)) % 0.46/0.66 (define @t161 () (and @t11 @t12 @t154 @t160)) % 0.46/0.66 (define @t162 () (and @t122 @t12)) % 0.46/0.66 (define @t163 () (and (= tptp.false tptp.false) (= tptp.true tptp.true))) % 0.46/0.66 (define @t164 () (or @t162 @t161 @t163)) % 0.46/0.66 (define @t165 () (= @t159 @t164)) % 0.46/0.66 (define @t166 () (forall @t24 (= @t22 (or @t20 @t18 (and (= tptp.false @t1) (= tptp.true @t13)))))) % 0.46/0.66 (define @t167 () (tptp.f7 tptp.false)) % 0.46/0.66 (define @t168 () (tptp.forallprefers @t167 @t110)) % 0.46/0.66 (define @t169 () (not @t159)) % 0.46/0.66 (define @t170 () (tptp.lazy_impl @t151 tptp.false)) % 0.46/0.66 (define @t171 () (= @t167 @t170)) % 0.46/0.66 (define @t172 () (not @t171)) % 0.46/0.66 (define @t173 () (= @t121 (tptp.lazy_impl tptp.true tptp.false))) % 0.46/0.66 (define @t174 () (not @t173)) % 0.46/0.66 (define @t175 () (not @t152)) % 0.46/0.66 (define @t176 () (= tptp.true @t110)) % 0.46/0.66 (define @t177 () (not @t176)) % 0.46/0.66 (define @t178 () (not @t126)) % 0.46/0.66 (define @t179 () (not @t168)) % 0.46/0.66 (define @t180 () (not @t179)) % 0.46/0.66 (define @t181 () (= false true)) % 0.46/0.66 (define @t182 () (and @t159 @t126 @t173 @t152 @t171 @t176 @t179)) % 0.46/0.66 (define @t183 () (tptp.prop @t109)) % 0.46/0.66 (define @t184 () (tptp.lazy_impl @t183 @t109)) % 0.46/0.66 (define @t185 () (= @t110 @t184)) % 0.46/0.66 (define @t186 () (= tptp.false @t183)) % 0.46/0.66 (define @t187 () (tptp.lazy_impl tptp.false @t109)) % 0.46/0.66 (define @t188 () (= tptp.true @t187)) % 0.46/0.66 (define @t189 () (and @t185 @t186 @t188)) % 0.46/0.66 (define @t190 () (not @t186)) % 0.46/0.66 (define @t191 () (not @t185)) % 0.46/0.66 (define @t192 () (tptp.bool @t109)) % 0.46/0.66 (define @t193 () (not @t192)) % 0.46/0.66 (define @t194 () (= @t193 @t186)) % 0.46/0.66 (define @t195 () (not @t194)) % 0.46/0.66 (define @t196 () (= tptp.true @t183)) % 0.46/0.66 (define @t197 () (= @t192 @t196)) % 0.46/0.66 (define @t198 () (= tptp.true @t109)) % 0.46/0.66 (define @t199 () (= tptp.false @t109)) % 0.46/0.66 (define @t200 () (or @t199 @t198)) % 0.46/0.66 (define @t201 () (= @t192 @t200)) % 0.46/0.66 (define @t202 () (@list tptp.true)) % 0.46/0.66 (define @t203 () (tptp.phi tptp.true)) % 0.46/0.66 (define @t204 () (or @t160 (= @t203 @t99))) % 0.46/0.66 (define @t205 () (= @t99 @t203)) % 0.46/0.66 (define @t206 () (or @t160 @t205)) % 0.46/0.66 (define @t207 () (not @t12)) % 0.46/0.66 (define @t208 () (and @t207 (= tptp.err @t203))) % 0.46/0.66 (define @t209 () (not @t208)) % 0.46/0.66 (define @t210 () (= tptp.true @t203)) % 0.46/0.66 (define @t211 () (and @t12 @t210)) % 0.46/0.66 (define @t212 () (or @t211 @t208)) % 0.46/0.66 (define @t213 () (tptp.prop tptp.true)) % 0.46/0.66 (define @t214 () (= tptp.true @t213)) % 0.46/0.66 (define @t215 () (= @t160 @t214)) % 0.46/0.66 (define @t216 () (tptp.lazy_impl @t213 tptp.true)) % 0.46/0.66 (define @t217 () (= (tptp.f7 tptp.true) @t216)) % 0.46/0.66 (define @t218 () (not @t217)) % 0.46/0.66 (define @t219 () (not @t198)) % 0.46/0.66 (define @t220 () (= @t203 (tptp.lazy_impl tptp.true tptp.true))) % 0.46/0.66 (define @t221 () (not @t220)) % 0.46/0.66 (define @t222 () (not @t214)) % 0.46/0.66 (define @t223 () (not @t210)) % 0.46/0.66 (define @t224 () (and @t159 @t126 @t173 @t152 @t171 @t210 @t220 @t214 @t217 @t198 @t179)) % 0.46/0.66 (define @t225 () (@quantifiers_skolemize (forall @t79 (= @t100 @t101)) 0)) % 0.46/0.66 (define @t226 () (@list @t225)) % 0.46/0.66 (define @t227 () (tptp.phi @t225)) % 0.46/0.66 (define @t228 () (tptp.not1 @t225)) % 0.46/0.66 (define @t229 () (tptp.bool @t225)) % 0.46/0.66 (define @t230 () (or @t229 (= @t227 @t228))) % 0.46/0.66 (define @t231 () (= @t228 @t227)) % 0.46/0.66 (define @t232 () (or @t229 @t231)) % 0.46/0.66 (define @t233 () (tptp.impl @t225 tptp.false2)) % 0.46/0.66 (define @t234 () (or @t229 (= @t233 @t227))) % 0.46/0.66 (define @t235 () (forall @t43 (or @t41 @t40))) % 0.46/0.66 (define @t236 () (= @t227 @t233)) % 0.46/0.66 (define @t237 () (or @t229 @t236)) % 0.46/0.66 (define @t238 () (not @t236)) % 0.46/0.66 (define @t239 () (= @t227 (tptp.lazy_impl tptp.true @t225))) % 0.46/0.66 (define @t240 () (not @t239)) % 0.46/0.66 (define @t241 () (tptp.not2 @t225)) % 0.46/0.66 (define @t242 () (= @t241 @t233)) % 0.46/0.66 (define @t243 () (not @t242)) % 0.46/0.66 (define @t244 () (not @t231)) % 0.46/0.66 (define @t245 () (= @t241 @t228)) % 0.46/0.66 (define @t246 () (not @t245)) % 0.46/0.66 (define @t247 () (and @t239 @t236 @t242 @t231 @t246)) % 0.46/0.66 (define @t248 () (= tptp.true @t225)) % 0.46/0.66 (define @t249 () (= tptp.false @t225)) % 0.46/0.66 (define @t250 () (or @t249 @t248)) % 0.46/0.66 (define @t251 () (= @t229 @t250)) % 0.46/0.66 (define @t252 () (= @t38 @t52)) % 0.46/0.66 (define @t253 () (= tptp.false (tptp.impl tptp.true tptp.false))) % 0.46/0.66 (define @t254 () (or @t154 @t253)) % 0.46/0.66 (define @t255 () (= tptp.false @t99)) % 0.46/0.66 (define @t256 () (tptp.lazy_and1 tptp.true @t110)) % 0.46/0.66 (define @t257 () (= @t111 @t256)) % 0.46/0.66 (define @t258 () (= @t121 (tptp.lazy_and1 tptp.true tptp.false))) % 0.46/0.66 (define @t259 () (and @t255 @t112 @t126 @t257 @t185 @t242 @t248 @t152 @t196 @t253 @t173 @t258 @t199)) % 0.46/0.66 (define @t260 () (not @t199)) % 0.46/0.66 (define @t261 () (not @t258)) % 0.46/0.66 (define @t262 () (not @t196)) % 0.46/0.66 (define @t263 () (not @t248)) % 0.46/0.66 (define @t264 () (not @t257)) % 0.46/0.66 (define @t265 () (= tptp.true @t98)) % 0.46/0.66 (define @t266 () (tptp.impl tptp.false tptp.false2)) % 0.46/0.66 (define @t267 () (= (tptp.not2 tptp.false) @t266)) % 0.46/0.66 (define @t268 () (and @t265 @t112 @t126 @t257 @t185 @t249 @t152 @t196 @t157 @t173 @t258 @t199 @t267)) % 0.46/0.66 (assume @p1 @t8) % 0.46/0.66 (assume @p2 (and (not (= tptp.true tptp.false)) (not @t10) (not @t9))) % 0.46/0.66 (assume @p3 (and @t12 @t11 (tptp.d tptp.err))) % 0.46/0.66 (assume @p4 @t25) % 0.46/0.66 (assume @p5 (forall @t24 (= (tptp.existsprefers @t1 @t13) (or @t20 @t18 (and @t2 (= @t13 tptp.false)))))) % 0.46/0.66 (assume @p6 @t30) % 0.46/0.66 (assume @p7 @t33) % 0.46/0.66 (assume @p8 @t35) % 0.46/0.66 (assume @p9 @t44) % 0.46/0.66 (assume @p10 (forall @t43 (=> @t47 (= @t39 @t45)))) % 0.46/0.66 (assume @p11 @t51) % 0.46/0.66 (assume @p12 @t54) % 0.46/0.66 (assume @p13 (forall @t43 (=> @t42 (= (tptp.lazy_impl @t36 @t38) @t37)))) % 0.46/0.66 (assume @p14 @t56) % 0.46/0.66 (assume @p15 @t58) % 0.46/0.66 (assume @p16 (forall @t43 (=> @t42 (= @t59 @t37)))) % 0.46/0.66 (assume @p17 (forall @t43 (=> @t47 (= @t59 @t45)))) % 0.46/0.66 (assume @p18 (forall @t50 (=> @t46 (= (tptp.and1 tptp.false @t38) tptp.false)))) % 0.46/0.66 (assume @p19 (forall @t50 (=> @t46 (= (tptp.and1 tptp.true @t38) @t38)))) % 0.46/0.66 (assume @p20 (forall @t66 (= @t65 (tptp.lazy_impl @t64 (tptp.impl (tptp.impl @t63 @t62) @t60))))) % 0.46/0.66 (assume @p21 (forall @t70 (exists @t69 (and (= (tptp.and2 @t63 @t61) (tptp.phi @t65)) (not (exists @t68 (tptp.forallprefers (tptp.f1 @t63 @t61 @t67) @t65))))))) % 0.46/0.66 (assume @p22 (forall @t43 (=> @t42 (= (tptp.lazy_and1 @t36 @t38) @t37)))) % 0.46/0.66 (assume @p23 (forall @t50 (= (tptp.lazy_and1 tptp.false @t38) tptp.false))) % 0.46/0.66 (assume @p24 @t72) % 0.46/0.66 (assume @p25 (forall @t66 (= @t73 (tptp.lazy_impl @t64 (tptp.impl (tptp.lazy_impl @t63 @t62) @t60))))) % 0.46/0.66 (assume @p26 (forall @t70 (exists @t69 (and (= (tptp.lazy_and2 @t63 @t61) (tptp.phi @t73)) (not (exists @t68 (tptp.forallprefers (tptp.f2 @t63 @t61 @t67) @t73))))))) % 0.46/0.66 (assume @p27 (forall @t43 (=> @t42 (= @t74 @t37)))) % 0.46/0.66 (assume @p28 (forall @t43 (=> @t47 (= @t74 @t45)))) % 0.46/0.66 (assume @p29 (forall @t50 (=> @t46 (= (tptp.or1 tptp.true @t38) tptp.true)))) % 0.46/0.66 (assume @p30 (forall @t50 (=> @t46 (= (tptp.or1 tptp.false @t38) @t38)))) % 0.46/0.66 (assume @p31 (forall @t66 (= @t75 (tptp.lazy_impl @t64 (tptp.impl (tptp.impl @t63 @t60) (tptp.impl @t62 @t60)))))) % 0.46/0.66 (assume @p32 (forall @t70 (exists @t69 (and (= (tptp.or2 @t63 @t61) (tptp.phi @t75)) (not (exists @t68 (tptp.forallprefers (tptp.f3 @t63 @t61 @t67) @t75))))))) % 0.46/0.66 (assume @p33 (forall @t79 (exists @t7 (and (= (tptp.exists1 @t63) (tptp.phi @t76)) (not (exists @t78 (tptp.existsprefers (tptp.apply @t63 @t77) @t76))))))) % 0.46/0.66 (assume @p34 (forall (@list @t63 @t1 @t60) (= @t80 (tptp.impl @t76 @t60)))) % 0.46/0.66 (assume @p35 (forall @t82 (exists @t7 (and (= @t81 (tptp.phi @t80)) (not (exists @t78 (tptp.forallprefers (tptp.f4 @t63 @t77 @t60) @t80))))))) % 0.46/0.66 (assume @p36 (forall @t82 (= @t83 (tptp.lazy_impl @t64 (tptp.impl @t81 @t60))))) % 0.46/0.66 (assume @p37 (forall @t79 (exists @t69 (and (= (tptp.exists2 @t63) (tptp.phi @t83)) (not (exists @t68 (tptp.forallprefers (tptp.f6 @t63 @t67) @t83))))))) % 0.46/0.66 (assume @p38 (= tptp.false1 tptp.false)) % 0.46/0.66 (assume @p39 (forall @t79 (= @t84 (tptp.lazy_impl (tptp.prop @t63) @t63)))) % 0.46/0.66 (assume @p40 @t93) % 0.46/0.66 (assume @p41 @t97) % 0.46/0.66 (assume @p42 (= @t98 tptp.true)) % 0.46/0.66 (assume @p43 (= @t99 tptp.false)) % 0.46/0.66 (assume @p44 (forall @t79 (= @t100 (tptp.impl @t63 tptp.false2)))) % 0.46/0.66 (assume @p45 @t103) % 0.46/0.66 (assume @p46 true) % 0.46/0.66 (step @p47 :rule symm :premises (@p42)) % 0.46/0.66 (step @p48 :rule eq-symm :args (@t101 @t100)) % 0.46/0.66 (step @p49 :rule cong :premises (@p48) :args (@t102)) % 0.46/0.66 (step @p50 :rule cong :premises (@p49) :args (@t103)) % 0.46/0.66 (step @p51 :rule eq_resolve :premises (@p45 @p50)) % 0.46/0.66 (step @p52 :rule skolemize :premises (@p51)) % 0.46/0.66 (step @p53 :rule bool-and-de-morgan :args (@t91 @t104 true)) % 0.46/0.66 (step @p54 :rule cong :premises (@p53) :args (@t106)) % 0.46/0.66 (step @p55 :rule cong :premises (@p54) :args (@t107)) % 0.46/0.66 (step @p56 :rule exists-elim :args ((= (exists @t79 @t105) @t107))) % 0.46/0.66 (step @p57 :rule trans :premises (@p56 @p55)) % 0.46/0.66 (step @p58 :rule bool-double-not-elim :args (@t104)) % 0.46/0.66 (step @p59 :rule exists-elim :args ((= @t89 @t108))) % 0.46/0.66 (step @p60 :rule cong :premises (@p59) :args (@t90)) % 0.46/0.66 (step @p61 :rule trans :premises (@p60 @p58)) % 0.46/0.66 (step @p62 :rule refl :args (@t91)) % 0.46/0.66 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t92)) % 0.46/0.66 (step @p64 :rule cong :premises (@p63) :args (@t93)) % 0.46/0.66 (step @p65 :rule trans :premises (@p64 @p57)) % 0.46/0.66 (step @p66 :rule eq_resolve :premises (@p40 @p65)) % 0.46/0.66 (step @p67 :rule skolemize :premises (@p66)) % 0.46/0.66 (step @p68 :rule bool-double-not-elim :args (@t112)) % 0.46/0.66 (step @p69 :rule refl :args (@t116)) % 0.46/0.66 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t116 (not @t115)))) % 0.46/0.66 (step @p71 :rule cnf_or_neg :args (@t116 0)) % 0.46/0.66 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.46/0.66 (step @p73 :rule reordering :premises (@p72) :args ((or @t112 @t116))) % 0.46/0.66 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t112 @t117 @t118)) % 0.46/0.66 (step @p75 :rule eq-symm :args (@t71 @t45)) % 0.46/0.66 (step @p76 :rule cong :premises (@p75) :args (@t72)) % 0.46/0.66 (step @p77 :rule eq_resolve :premises (@p24 @p76)) % 0.46/0.66 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t110))) % 0.46/0.66 (step @p79 :rule instantiate :premises (@p39) :args (@t119)) % 0.46/0.66 (step @p80 :rule eq-symm :args (@t26 tptp.err)) % 0.46/0.66 (step @p81 :rule refl :args (@t19)) % 0.46/0.66 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t27)) % 0.46/0.66 (step @p83 :rule eq-symm :args (@t26 @t1)) % 0.46/0.66 (step @p84 :rule refl :args (@t17)) % 0.46/0.66 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t28)) % 0.46/0.66 (step @p86 :rule nary_cong :premises (@p85 @p82) :args (@t29)) % 0.46/0.66 (step @p87 :rule cong :premises (@p86) :args (@t30)) % 0.46/0.66 (step @p88 :rule eq_resolve :premises (@p6 @p87)) % 0.46/0.66 (step @p89 :rule instantiate :premises (@p88) :args (@t120)) % 0.46/0.66 (step @p90 :rule and_elim :premises (@p3) :args (1)) % 0.46/0.66 (step @p91 :rule cnf_and_pos :args (@t123 0)) % 0.46/0.66 (step @p92 :rule reordering :premises (@p91) :args ((or @t122 @t124))) % 0.46/0.66 (step @p93 :rule chain_m_resolution :premises (@p92 @p90) :args (@t124 @t125 (@list @t11))) % 0.46/0.66 (step @p94 :rule cnf_or_pos :args (@t128)) % 0.46/0.66 (step @p95 :rule reordering :premises (@p94) :args ((or @t127 @t123 (not @t128)))) % 0.46/0.66 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p89) :args (@t127 @t129 (@list @t123 @t128))) % 0.46/0.66 (step @p97 :rule cnf_and_pos :args (@t127 1)) % 0.46/0.66 (step @p98 :rule reordering :premises (@p97) :args ((or @t126 (not @t127)))) % 0.46/0.66 (step @p99 :rule chain_m_resolution :premises (@p98 @p96) :args (@t126 @t125 (@list @t127))) % 0.46/0.66 (step @p100 :rule eq-symm :args (@t57 @t45)) % 0.46/0.66 (step @p101 :rule cong :premises (@p100) :args (@t58)) % 0.46/0.66 (step @p102 :rule eq_resolve :premises (@p15 @p101)) % 0.46/0.66 (step @p103 :rule instantiate :premises (@p102) :args (@t120)) % 0.46/0.66 (step @p104 :rule instantiate :premises (@p77) :args (@t120)) % 0.46/0.66 (step @p105 :rule instantiate :premises (@p44) :args (@t120)) % 0.46/0.66 (step @p106 :rule eq-symm :args (@t31 tptp.true)) % 0.46/0.66 (step @p107 :rule refl :args (@t5)) % 0.46/0.66 (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t5 @t32))) % 0.46/0.66 (step @p109 :rule eq-symm :args (@t32 @t5)) % 0.46/0.66 (step @p110 :rule trans :premises (@p109 @p108)) % 0.46/0.66 (step @p111 :rule cong :premises (@p110) :args (@t33)) % 0.46/0.66 (step @p112 :rule eq_resolve :premises (@p7 @p111)) % 0.46/0.66 (step @p113 :rule instantiate :premises (@p112) :args (@t120)) % 0.46/0.66 (step @p114 :rule refl :args (@t130)) % 0.46/0.66 (step @p115 :rule bool-double-not-elim :args (@t41)) % 0.46/0.66 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t131 @t130))) % 0.46/0.66 (step @p117 :rule bool-impl-elim :args (@t42 @t130)) % 0.46/0.66 (step @p118 :rule trans :premises (@p117 @p116)) % 0.46/0.66 (step @p119 :rule cong :premises (@p118) :args ((forall @t96 (=> @t42 @t130)))) % 0.46/0.67 (step @p120 :rule eq-symm :args (@t94 @t37)) % 0.46/0.67 (step @p121 :rule refl :args (@t42)) % 0.46/0.67 (step @p122 :rule cong :premises (@p121 @p120) :args (@t95)) % 0.46/0.67 (step @p123 :rule cong :premises (@p122) :args (@t97)) % 0.46/0.67 (step @p124 :rule trans :premises (@p123 @p119)) % 0.46/0.67 (step @p125 :rule eq_resolve :premises (@p41 @p124)) % 0.46/0.67 (step @p126 :rule eq-symm :args (@t121 @t98)) % 0.46/0.67 (step @p127 :rule refl :args (@t132)) % 0.46/0.67 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t133)) % 0.46/0.67 (step @p129 :rule refl :args (@t134)) % 0.46/0.67 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t134 @t133))) % 0.46/0.67 (assume-push @p694 @t134) % 0.46/0.67 (step @p132 :rule instantiate :premises (@p125) :args (@t120)) % 0.46/0.67 (step-pop @p695 :rule scope :premises (@p132)) % 0.46/0.67 (step @p133 :rule process_scope :premises (@p695) :args (@t133)) % 0.46/0.67 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 0.46/0.67 (step @p136 :rule implies_elim :premises (@p135)) % 0.46/0.67 (step @p137 :rule chain_m_resolution :premises (@p136 @p125) :args (@t136 @t125 @t137)) % 0.46/0.67 (step @p138 :rule instantiate :premises (@p112) :args (@t138)) % 0.46/0.67 (step @p139 :rule eq-symm :args (@t1 tptp.true)) % 0.46/0.67 (step @p140 :rule eq-symm :args (@t1 tptp.false)) % 0.46/0.67 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t4)) % 0.46/0.67 (step @p142 :rule cong :premises (@p107 @p141) :args (@t6)) % 0.46/0.67 (step @p143 :rule cong :premises (@p142) :args (@t8)) % 0.46/0.67 (step @p144 :rule eq_resolve :premises (@p1 @p143)) % 0.46/0.67 (step @p145 :rule instantiate :premises (@p144) :args (@t138)) % 0.46/0.67 (step @p146 :rule and_elim :premises (@p2) :args (2)) % 0.46/0.67 (step @p147 :rule and_elim :premises (@p2) :args (1)) % 0.46/0.67 (step @p148 :rule cnf_or_pos :args (@t139)) % 0.46/0.67 (step @p149 :rule reordering :premises (@p148) :args ((or @t10 @t9 @t140))) % 0.46/0.67 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p146) :args (@t140 (@list true true) (@list @t10 @t9))) % 0.46/0.67 (step @p151 :rule cnf_equiv_pos1 :args (@t142)) % 0.46/0.67 (step @p152 :rule reordering :premises (@p151) :args ((or @t143 @t139 (not @t142)))) % 0.46/0.67 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p145) :args (@t143 @t129 (@list @t139 @t142))) % 0.46/0.67 (step @p154 :rule cnf_equiv_pos2 :args (@t146)) % 0.46/0.67 (step @p155 :rule reordering :premises (@p154) :args ((or @t141 @t147 (not @t146)))) % 0.46/0.67 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p138) :args (@t147 @t129 (@list @t141 @t146))) % 0.46/0.67 (step @p157 :rule false_intro :premises (@p156)) % 0.46/0.67 (step @p158 :rule eq-symm :args (@t31 tptp.false)) % 0.46/0.67 (step @p159 :rule refl :args (@t15)) % 0.46/0.67 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t15 @t34))) % 0.46/0.67 (step @p161 :rule eq-symm :args (@t34 @t15)) % 0.46/0.67 (step @p162 :rule trans :premises (@p161 @p160)) % 0.46/0.67 (step @p163 :rule cong :premises (@p162) :args (@t35)) % 0.46/0.67 (step @p164 :rule eq_resolve :premises (@p8 @p163)) % 0.46/0.67 (step @p165 :rule instantiate :premises (@p164) :args (@t138)) % 0.46/0.67 (step @p166 :rule refl :args (@t148)) % 0.46/0.67 (step @p167 :rule bool-double-not-elim :args (@t141)) % 0.46/0.67 (step @p168 :rule refl :args (@t150)) % 0.46/0.67 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args ((or @t150 (not @t143) @t148))) % 0.46/0.67 (step @p170 :rule cnf_equiv_pos1 :args (@t149)) % 0.46/0.67 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.46/0.67 (step @p172 :rule reordering :premises (@p171) :args ((or @t141 @t148 @t150))) % 0.46/0.67 (step @p173 :rule chain_m_resolution 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(@p902)) % 0.46/0.67 (step-pop @p904 :rule scope :premises (@p903)) % 0.46/0.67 (step-pop @p905 :rule scope :premises (@p904)) % 0.46/0.67 (step-pop @p906 :rule scope :premises (@p905)) % 0.46/0.67 (step-pop @p907 :rule scope :premises (@p906)) % 0.46/0.67 (step-pop @p908 :rule scope :premises (@p907)) % 0.46/0.67 (step-pop @p909 :rule scope :premises (@p908)) % 0.46/0.67 (step-pop @p910 :rule scope :premises (@p909)) % 0.46/0.67 (step-pop @p911 :rule scope :premises (@p910)) % 0.46/0.67 (step @p675 :rule process_scope :premises (@p911) :args (@t245)) % 0.46/0.67 (step @p689 :rule implies_elim :premises (@p675)) % 0.46/0.67 (step @p690 :rule cnf_and_neg :args (@t268)) % 0.46/0.67 (step @p691 :rule resolution :premises (@p690 @p689) :args (true @t268)) % 0.46/0.67 (step @p692 :rule reordering :premises (@p691) :args ((or (not @t265) @t115 @t245 @t178 @t264 @t191 (not @t249) @t175 @t262 (not @t157) @t174 @t261 @t260 (not @t267)))) % 0.46/0.67 (step @p693 false :rule chain_m_resolution :premises (@p692 @p619 @p448 @p335 @p196 @p184 @p105 @p104 @p103 @p99 @p79 @p78 @p74 @p52 @p47) :args (false (@list false false false false false false false false false false false false true false) (@list @t249 @t199 @t196 @t157 @t152 @t267 @t258 @t173 @t126 @t185 @t257 @t112 @t245 @t265))) % 0.46/0.67 ) % 0.46/0.67 % SZS output end Proof % 0.46/0.67 % cvc5 exiting %------------------------------------------------------------------------------