%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM542+2 : 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 : n022.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 08:39:47 AM UTC 2026 % Result : Theorem 16.03s 16.21s % Output : Proof 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM542+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:28:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.03/16.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.03/16.21 --- Run --no-e-matching --full-saturate-quant at 6... % 16.03/16.21 % SZS status Theorem % 16.03/16.21 % SZS output start Proof % 16.03/16.21 ( % 16.03/16.21 (declare-sort $$unsorted 0) % 16.03/16.21 (declare-const tptp.xn $$unsorted) % 16.03/16.21 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 16.03/16.21 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 16.03/16.21 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 16.03/16.21 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 16.03/16.21 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.slcrc0 $$unsorted) % 16.03/16.21 (declare-const tptp.xm $$unsorted) % 16.03/16.21 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.21 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 16.03/16.21 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.21 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 16.03/16.21 (declare-const tptp.szNzAzT0 $$unsorted) % 16.03/16.21 (declare-const tptp.sz00 $$unsorted) % 16.03/16.21 (define @t1 () (@var "W0" $$unsorted)) % 16.03/16.21 (define @t2 () (tptp.aSet0 @t1)) % 16.03/16.21 (define @t3 () (@list @t1)) % 16.03/16.21 (define @t4 () (tptp.aElement0 @t1)) % 16.03/16.21 (define @t5 () (@var "W1" $$unsorted)) % 16.03/16.21 (define @t6 () (tptp.aElement0 @t5)) % 16.03/16.21 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 16.03/16.21 (define @t8 () (@list @t5)) % 16.03/16.21 (define @t9 () (tptp.isFinite0 @t1)) % 16.03/16.21 (define @t10 () (= @t1 tptp.slcrc0)) % 16.03/16.21 (define @t11 () (tptp.isCountable0 @t1)) % 16.03/16.21 (define @t12 () (and @t2 @t11)) % 16.03/16.21 (define @t13 () (not @t10)) % 16.03/16.21 (define @t14 () (@var "W2" $$unsorted)) % 16.03/16.21 (define @t15 () (tptp.aElementOf0 @t14 @t1)) % 16.03/16.21 (define @t16 () (tptp.aElementOf0 @t14 @t5)) % 16.03/16.21 (define @t17 () (@list @t14)) % 16.03/16.21 (define @t18 () (tptp.aSet0 @t5)) % 16.03/16.21 (define @t19 () (tptp.aSubsetOf0 @t5 @t1)) % 16.03/16.21 (define @t20 () (tptp.isFinite0 @t5)) % 16.03/16.21 (define @t21 () (and @t2 @t9)) % 16.03/16.21 (define @t22 () (= @t1 @t5)) % 16.03/16.21 (define @t23 () (tptp.aSubsetOf0 @t1 @t5)) % 16.03/16.21 (define @t24 () (@list @t1 @t5)) % 16.03/16.21 (define @t25 () (tptp.aSet0 @t14)) % 16.03/16.21 (define @t26 () (@list @t1 @t5 @t14)) % 16.03/16.21 (define @t27 () (@var "W3" $$unsorted)) % 16.03/16.21 (define @t28 () (= @t27 @t5)) % 16.03/16.21 (define @t29 () (tptp.aElementOf0 @t27 @t1)) % 16.03/16.21 (define @t30 () (tptp.aElement0 @t27)) % 16.03/16.21 (define @t31 () (tptp.aElementOf0 @t27 @t14)) % 16.03/16.21 (define @t32 () (@list @t27)) % 16.03/16.21 (define @t33 () (tptp.sdtpldt0 @t1 @t5)) % 16.03/16.21 (define @t34 () (and @t2 @t6)) % 16.03/16.21 (define @t35 () (tptp.sdtmndt0 @t1 @t5)) % 16.03/16.21 (define @t36 () (tptp.sdtpldt0 @t5 @t1)) % 16.03/16.21 (define @t37 () (and @t18 (tptp.isCountable0 @t5))) % 16.03/16.21 (define @t38 () (tptp.sdtmndt0 @t5 @t1)) % 16.03/16.21 (define @t39 () (and @t18 @t20)) % 16.03/16.21 (define @t40 () (tptp.szszuzczcdt0 @t1)) % 16.03/16.21 (define @t41 () (not (= @t40 tptp.sz00))) % 16.03/16.21 (define @t42 () (tptp.aElementOf0 @t40 tptp.szNzAzT0)) % 16.03/16.21 (define @t43 () (and @t42 @t41)) % 16.03/16.21 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 16.03/16.21 (define @t45 () (=> @t44 @t43)) % 16.03/16.21 (define @t46 () (forall @t3 @t45)) % 16.03/16.21 (define @t47 () (tptp.szszuzczcdt0 @t5)) % 16.03/16.21 (define @t48 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 16.03/16.21 (define @t49 () (and @t44 @t48)) % 16.03/16.21 (define @t50 () (not (= @t1 @t40))) % 16.03/16.21 (define @t51 () (forall @t3 (=> @t44 @t50))) % 16.03/16.21 (define @t52 () (tptp.sdtlseqdt0 @t1 @t5)) % 16.03/16.21 (define @t53 () (tptp.sdtlseqdt0 @t1 @t40)) % 16.03/16.21 (define @t54 () (forall @t3 (=> @t44 @t53))) % 16.03/16.21 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 16.03/16.21 (define @t56 () (and @t52 @t55)) % 16.03/16.21 (define @t57 () (=> @t56 @t22)) % 16.03/16.21 (define @t58 () (forall @t24 (=> @t49 @t57))) % 16.03/16.21 (define @t59 () (tptp.sdtlseqdt0 @t1 @t14)) % 16.03/16.21 (define @t60 () (tptp.sdtlseqdt0 @t5 @t14)) % 16.03/16.21 (define @t61 () (and @t52 @t60)) % 16.03/16.21 (define @t62 () (=> @t61 @t59)) % 16.03/16.21 (define @t63 () (tptp.aElementOf0 @t14 tptp.szNzAzT0)) % 16.03/16.21 (define @t64 () (and @t44 @t48 @t63)) % 16.03/16.21 (define @t65 () (forall @t26 (=> @t64 @t62))) % 16.03/16.21 (define @t66 () (tptp.sdtlseqdt0 @t47 @t1)) % 16.03/16.21 (define @t67 () (or @t52 @t66)) % 16.03/16.21 (define @t68 () (forall @t24 (=> @t49 @t67))) % 16.03/16.21 (define @t69 () (tptp.sbrdtbr0 @t1)) % 16.03/16.21 (define @t70 () (tptp.szmzizndt0 @t1)) % 16.03/16.21 (define @t71 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 16.03/16.21 (define @t72 () (tptp.szmzizndt0 @t5)) % 16.03/16.21 (define @t73 () (tptp.szszuzczcdt0 @t14)) % 16.03/16.21 (define @t74 () (and @t63 (tptp.sdtlseqdt0 @t73 @t1))) % 16.03/16.21 (define @t75 () (tptp.slbdtrb0 @t1)) % 16.03/16.21 (define @t76 () (forall @t8 (= (= @t5 @t75) (and @t18 (forall @t17 (= @t16 @t74)))))) % 16.03/16.21 (define @t77 () (forall @t3 (=> @t44 @t76))) % 16.03/16.21 (define @t78 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 16.03/16.21 (define @t79 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 16.03/16.21 (define @t80 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 16.03/16.21 (define @t81 () (tptp.slbdtrb0 tptp.xn)) % 16.03/16.21 (define @t82 () (tptp.slbdtrb0 tptp.xm)) % 16.03/16.21 (define @t83 () (tptp.aSubsetOf0 @t82 @t81)) % 16.03/16.21 (define @t84 () (tptp.aElementOf0 @t1 @t81)) % 16.03/16.21 (define @t85 () (tptp.aElementOf0 @t1 @t82)) % 16.03/16.21 (define @t86 () (forall @t3 (=> @t85 @t84))) % 16.03/16.21 (define @t87 () (forall @t3 (= @t84 (and @t44 (tptp.sdtlseqdt0 @t40 tptp.xn))))) % 16.03/16.21 (define @t88 () (tptp.aSet0 @t81)) % 16.03/16.21 (define @t89 () (forall @t3 (= @t85 (and @t44 (tptp.sdtlseqdt0 @t40 tptp.xm))))) % 16.03/16.21 (define @t90 () (tptp.aSet0 @t82)) % 16.03/16.21 (define @t91 () (and @t90 @t89 @t88 @t87 @t86 @t83)) % 16.03/16.21 (define @t92 () (=> @t91 @t80)) % 16.03/16.21 (define @t93 () (or @t86 @t83)) % 16.03/16.21 (define @t94 () (and @t88 @t87)) % 16.03/16.21 (define @t95 () (=> @t94 @t93)) % 16.03/16.21 (define @t96 () (and @t90 @t89)) % 16.03/16.21 (define @t97 () (=> @t96 @t95)) % 16.03/16.21 (define @t98 () (=> @t80 @t97)) % 16.03/16.21 (define @t99 () (and @t98 @t92)) % 16.03/16.21 (define @t100 () (not @t99)) % 16.03/16.21 (define @t101 () (forall @t3 (or (not @t85) @t84))) % 16.03/16.21 (define @t102 () (and @t90 @t89 @t88 @t87 @t101 @t83)) % 16.03/16.21 (define @t103 () (=> @t102 @t80)) % 16.03/16.21 (define @t104 () (or @t101 @t83)) % 16.03/16.21 (define @t105 () (=> @t94 @t104)) % 16.03/16.21 (define @t106 () (=> @t96 @t105)) % 16.03/16.21 (define @t107 () (=> @t80 @t106)) % 16.03/16.21 (define @t108 () (@quantifiers_skolemize @t101 0)) % 16.03/16.21 (define @t109 () (tptp.aElementOf0 @t108 @t81)) % 16.03/16.21 (define @t110 () (tptp.aElementOf0 @t108 @t82)) % 16.03/16.21 (define @t111 () (not @t110)) % 16.03/16.21 (define @t112 () (or @t111 @t109)) % 16.03/16.21 (define @t113 () (not @t112)) % 16.03/16.21 (define @t114 () (not @t101)) % 16.03/16.21 (define @t115 () (@var "BOUND_VARIABLE_8361" $$unsorted)) % 16.03/16.21 (define @t116 () (tptp.aElementOf0 @t14 @t115)) % 16.03/16.21 (define @t117 () (forall @t17 (= @t116 @t74))) % 16.03/16.21 (define @t118 () (tptp.aSet0 @t115)) % 16.03/16.21 (define @t119 () (and @t118 @t117)) % 16.03/16.21 (define @t120 () (= (= @t115 @t75) @t119)) % 16.03/16.21 (define @t121 () (not @t44)) % 16.03/16.21 (define @t122 () (or @t121 @t120)) % 16.03/16.21 (define @t123 () (@list @t1 @t115)) % 16.03/16.21 (define @t124 () (forall @t123 @t122)) % 16.03/16.21 (define @t125 () (@list @t115)) % 16.03/16.21 (define @t126 () (forall @t125 @t122)) % 16.03/16.21 (define @t127 () (forall @t125 @t120)) % 16.03/16.21 (define @t128 () (or @t121 @t127)) % 16.03/16.21 (define @t129 () (tptp.aElementOf0 @t14 @t82)) % 16.03/16.21 (define @t130 () (and @t63 (tptp.sdtlseqdt0 @t73 tptp.xm))) % 16.03/16.21 (define @t131 () (forall @t17 (= @t130 @t129))) % 16.03/16.21 (define @t132 () (and @t90 @t131)) % 16.03/16.21 (define @t133 () (= (= @t82 @t82) @t132)) % 16.03/16.21 (define @t134 () (not @t79)) % 16.03/16.21 (define @t135 () (or @t134 @t133)) % 16.03/16.21 (define @t136 () (forall @t123 (or @t121 (= (= @t75 @t115) (and @t118 (forall @t17 (= @t74 @t116))))))) % 16.03/16.21 (define @t137 () (or @t134 @t132)) % 16.03/16.21 (define @t138 () (@list false)) % 16.03/16.21 (define @t139 () (@list @t136)) % 16.03/16.21 (define @t140 () (@list false false)) % 16.03/16.21 (define @t141 () (@list @t1)) % 16.03/16.21 (define @t142 () (@list @t14)) % 16.03/16.21 (define @t143 () (@list @t108)) % 16.03/16.21 (define @t144 () (tptp.szszuzczcdt0 @t108)) % 16.03/16.21 (define @t145 () (tptp.sdtlseqdt0 @t144 tptp.xm)) % 16.03/16.21 (define @t146 () (tptp.aElementOf0 @t108 tptp.szNzAzT0)) % 16.03/16.21 (define @t147 () (and @t146 @t145)) % 16.03/16.21 (define @t148 () (= @t110 @t147)) % 16.03/16.21 (define @t149 () (tptp.aElementOf0 @t14 @t81)) % 16.03/16.21 (define @t150 () (and @t63 (tptp.sdtlseqdt0 @t73 tptp.xn))) % 16.03/16.21 (define @t151 () (forall @t17 (= @t150 @t149))) % 16.03/16.21 (define @t152 () (and @t88 @t151)) % 16.03/16.21 (define @t153 () (= (= @t81 @t81) @t152)) % 16.03/16.21 (define @t154 () (not @t78)) % 16.03/16.21 (define @t155 () (or @t154 @t153)) % 16.03/16.21 (define @t156 () (or @t154 @t152)) % 16.03/16.21 (define @t157 () (tptp.sdtlseqdt0 @t144 tptp.xn)) % 16.03/16.21 (define @t158 () (and @t146 @t157)) % 16.03/16.21 (define @t159 () (= @t109 @t158)) % 16.03/16.21 (define @t160 () (not @t147)) % 16.03/16.21 (define @t161 () (not @t146)) % 16.03/16.21 (define @t162 () (and @t42 (not (= tptp.sz00 @t40)))) % 16.03/16.21 (define @t163 () (tptp.aElementOf0 @t144 tptp.szNzAzT0)) % 16.03/16.21 (define @t164 () (and @t163 (not (= tptp.sz00 @t144)))) % 16.03/16.21 (define @t165 () (or @t161 @t164)) % 16.03/16.21 (define @t166 () (not @t60)) % 16.03/16.21 (define @t167 () (not @t52)) % 16.03/16.21 (define @t168 () (not @t63)) % 16.03/16.21 (define @t169 () (not @t48)) % 16.03/16.21 (define @t170 () (or @t167 @t166 @t59)) % 16.03/16.21 (define @t171 () (or @t121 @t169 @t168)) % 16.03/16.21 (define @t172 () (not @t80)) % 16.03/16.21 (define @t173 () (not @t145)) % 16.03/16.21 (define @t174 () (not @t163)) % 16.03/16.21 (define @t175 () (or @t174 @t134 @t154 @t173 @t172 @t157)) % 16.03/16.21 (define @t176 () (@list true)) % 16.03/16.21 (define @t177 () (@list tptp.xn)) % 16.03/16.21 (define @t178 () (or @t121 @t169)) % 16.03/16.21 (define @t179 () (not @t49)) % 16.03/16.21 (define @t180 () (tptp.szszuzczcdt0 tptp.xn)) % 16.03/16.21 (define @t181 () (tptp.sdtlseqdt0 @t180 tptp.xm)) % 16.03/16.21 (define @t182 () (or @t134 @t154 @t80 @t181)) % 16.03/16.21 (define @t183 () (and @t78 @t181)) % 16.03/16.21 (define @t184 () (tptp.aElementOf0 tptp.xn @t82)) % 16.03/16.21 (define @t185 () (= @t184 @t183)) % 16.03/16.21 (define @t186 () (not @t55)) % 16.03/16.21 (define @t187 () (or @t167 @t186 @t22)) % 16.03/16.21 (define @t188 () (tptp.sdtlseqdt0 tptp.xn @t180)) % 16.03/16.21 (define @t189 () (or @t154 @t188)) % 16.03/16.21 (define @t190 () (tptp.aElementOf0 @t180 tptp.szNzAzT0)) % 16.03/16.21 (define @t191 () (and @t190 (not (= tptp.sz00 @t180)))) % 16.03/16.21 (define @t192 () (or @t154 @t191)) % 16.03/16.21 (define @t193 () (= tptp.xn @t180)) % 16.03/16.21 (define @t194 () (not @t193)) % 16.03/16.21 (define @t195 () (or @t154 @t194)) % 16.03/16.21 (define @t196 () (tptp.sdtlseqdt0 @t180 tptp.xn)) % 16.03/16.21 (define @t197 () (not @t196)) % 16.03/16.21 (define @t198 () (not @t188)) % 16.03/16.21 (define @t199 () (not @t190)) % 16.03/16.21 (define @t200 () (or @t154 @t199 @t198 @t197 @t193)) % 16.03/16.21 (define @t201 () (and @t78 @t196)) % 16.03/16.21 (define @t202 () (not @t201)) % 16.03/16.21 (define @t203 () (tptp.aElementOf0 tptp.xn @t81)) % 16.03/16.21 (define @t204 () (= @t203 @t201)) % 16.03/16.21 (define @t205 () (not @t203)) % 16.03/16.21 (define @t206 () (@list true false)) % 16.03/16.21 (define @t207 () (not @t184)) % 16.03/16.21 (define @t208 () (or @t207 @t203)) % 16.03/16.21 (define @t209 () (not @t208)) % 16.03/16.21 (assume @p1 (forall @t3 (=> @t2 true))) % 16.03/16.21 (assume @p2 (forall @t3 (=> @t4 true))) % 16.03/16.21 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 16.03/16.21 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 16.03/16.21 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 16.03/16.21 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 16.03/16.21 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 16.03/16.21 (assume @p8 (forall @t3 (=> @t12 (not @t9)))) % 16.03/16.21 (assume @p9 (forall @t3 (=> @t12 @t13))) % 16.03/16.21 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t19 (and @t18 (forall @t17 (=> @t16 @t15)))))))) % 16.03/16.21 (assume @p11 (forall @t3 (=> @t21 (forall @t8 (=> @t19 @t20))))) % 16.03/16.21 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 16.03/16.21 (assume @p13 (forall @t24 (=> (and @t2 @t18) (=> (and @t23 @t19) @t22)))) % 16.03/16.21 (assume @p14 (forall @t26 (=> (and @t2 @t18 @t25) (=> (and @t23 (tptp.aSubsetOf0 @t5 @t14)) (tptp.aSubsetOf0 @t1 @t14))))) % 16.03/16.21 (assume @p15 (forall @t24 (=> @t34 (forall @t17 (= (= @t14 @t33) (and @t25 (forall @t32 (= @t31 (and @t30 (or @t29 @t28)))))))))) % 16.03/16.21 (assume @p16 (forall @t24 (=> @t34 (forall @t17 (= (= @t14 @t35) (and @t25 (forall @t32 (= @t31 (and @t30 @t29 (not @t28)))))))))) % 16.03/16.21 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t35 @t5) @t1)))))) % 16.03/16.21 (assume @p18 (forall @t24 (=> (and @t4 @t18) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t36 @t1) @t5))))) % 16.03/16.21 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t37 (tptp.isCountable0 @t36)))))) % 16.03/16.21 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t37 (tptp.isCountable0 @t38)))))) % 16.03/16.21 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isFinite0 @t36)))))) % 16.03/16.21 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isFinite0 @t38)))))) % 16.03/16.21 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 16.03/16.21 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 16.03/16.21 (assume @p25 @t46) % 16.03/16.21 (assume @p26 (forall @t24 (=> @t49 (=> (= @t40 @t47) @t22)))) % 16.03/16.21 (assume @p27 (forall @t3 (=> @t44 (or (= @t1 tptp.sz00) (exists @t8 (and @t48 (= @t1 @t47))))))) % 16.03/16.21 (assume @p28 @t51) % 16.03/16.21 (assume @p29 (forall @t24 (=> @t49 (=> @t52 true)))) % 16.03/16.21 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 16.03/16.21 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t40 tptp.sz00))))) % 16.03/16.21 (assume @p32 (forall @t24 (=> @t49 (= @t52 (tptp.sdtlseqdt0 @t40 @t47))))) % 16.03/16.21 (assume @p33 @t54) % 16.03/16.21 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.03/16.21 (assume @p35 @t58) % 16.03/16.21 (assume @p36 @t65) % 16.03/16.21 (assume @p37 @t68) % 16.03/16.21 (assume @p38 (forall @t24 (=> @t49 (=> (tptp.iLess0 @t1 @t5) true)))) % 16.03/16.21 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t40)))) % 16.03/16.21 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t69)))) % 16.03/16.21 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t69 tptp.szNzAzT0) @t9)))) % 16.03/16.21 (assume @p42 (forall @t3 (=> @t2 (= (= @t69 tptp.sz00) @t10)))) % 16.03/16.21 (assume @p43 (forall @t3 (=> @t21 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t33) (tptp.szszuzczcdt0 @t69)))))))) % 16.03/16.21 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t35)) @t69)))))) % 16.03/16.21 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t19) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t69)))))) % 16.03/16.21 (assume @p46 (forall @t24 (=> (and @t2 @t48) (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t69)) (exists @t17 (and (tptp.aSubsetOf0 @t14 @t1) (= (tptp.sbrdtbr0 @t14) @t5))))))) % 16.03/16.21 (assume @p47 (forall @t3 (=> (and @t71 @t13) (forall @t8 (= (= @t5 @t70) (and @t7 (forall @t17 (=> @t15 @t60)))))))) % 16.03/16.21 (assume @p48 (forall @t3 (=> (and @t71 @t9 @t13) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t17 (=> @t15 (tptp.sdtlseqdt0 @t14 @t5))))))))) % 16.03/16.21 (assume @p49 (forall @t24 (=> (and @t71 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t13 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t70 @t5) (tptp.aElementOf0 @t72 @t1)) (= @t70 @t72))))) % 16.03/16.21 (assume @p50 @t77) % 16.03/16.21 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t75)))) % 16.03/16.21 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 16.03/16.21 (assume @p53 (forall @t24 (=> @t49 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t47)) (or (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t5)) @t22))))) % 16.03/16.21 (assume @p54 (and @t79 @t78)) % 16.03/16.21 (assume @p55 @t100) % 16.03/16.21 (assume @p56 true) % 16.03/16.21 (step @p57 :rule cnf_implies_neg2 :args (@t103)) % 16.03/16.21 (step @p58 :rule refl :args (@t80)) % 16.03/16.21 (step @p59 :rule refl :args (@t83)) % 16.03/16.21 (step @p60 :rule bool-impl-elim :args (@t85 @t84)) % 16.03/16.21 (step @p61 :rule cong :premises (@p60) :args (@t86)) % 16.03/16.21 (step @p62 :rule refl :args (@t87)) % 16.03/16.21 (step @p63 :rule refl :args (@t88)) % 16.03/16.21 (step @p64 :rule refl :args (@t89)) % 16.03/16.21 (step @p65 :rule refl :args (@t90)) % 16.03/16.21 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62 @p61 @p59) :args (@t91)) % 16.03/16.21 (step @p67 :rule cong :premises (@p66 @p58) :args (@t92)) % 16.03/16.21 (step @p68 :rule nary_cong :premises (@p61 @p59) :args (@t93)) % 16.03/16.21 (step @p69 :rule refl :args (@t94)) % 16.03/16.21 (step @p70 :rule cong :premises (@p69 @p68) :args (@t95)) % 16.03/16.21 (step @p71 :rule refl :args (@t96)) % 16.03/16.21 (step @p72 :rule cong :premises (@p71 @p70) :args (@t97)) % 16.03/16.21 (step @p73 :rule cong :premises (@p58 @p72) :args (@t98)) % 16.03/16.21 (step @p74 :rule nary_cong :premises (@p73 @p67) :args (@t99)) % 16.03/16.21 (step @p75 :rule cong :premises (@p74) :args (@t100)) % 16.03/16.21 (step @p76 :rule eq_resolve :premises (@p55 @p75)) % 16.03/16.21 (step @p77 :rule not_and :premises (@p76)) % 16.03/16.21 (step @p78 :rule cnf_implies_neg2 :args (@t107)) % 16.03/16.21 (step @p79 :rule cnf_implies_neg2 :args (@t106)) % 16.03/16.21 (step @p80 :rule cnf_implies_neg2 :args (@t105)) % 16.03/16.21 (step @p81 :rule cnf_or_neg :args (@t104 0)) % 16.03/16.21 (step @p82 :rule refl :args (@t113)) % 16.03/16.21 (step @p83 :rule bool-double-not-elim :args (@t101)) % 16.03/16.21 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t114) @t113))) % 16.03/16.21 (assume-push @p319 @t114) % 16.03/16.21 (step @p86 :rule skolemize :premises (@p319)) % 16.03/16.21 (step-pop @p320 :rule scope :premises (@p86)) % 16.03/16.21 (step @p87 :rule process_scope :premises (@p320) :args (@t113)) % 16.03/16.21 (step @p89 :rule implies_elim :premises (@p87)) % 16.03/16.21 (step @p90 :rule eq_resolve :premises (@p89 @p84)) % 16.03/16.21 (step @p91 :rule bool-double-not-elim :args (@t110)) % 16.03/16.21 (step @p92 :rule refl :args (@t112)) % 16.03/16.21 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t112 (not @t111)))) % 16.03/16.21 (step @p94 :rule cnf_or_neg :args (@t112 0)) % 16.03/16.21 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 16.03/16.21 (step @p96 :rule reordering :premises (@p95) :args ((or @t110 @t112))) % 16.03/16.21 (step @p97 :rule cnf_or_neg :args (@t112 1)) % 16.03/16.21 (step @p98 :rule eq-symm :args (@t116 @t74)) % 16.03/16.21 (step @p99 :rule cong :premises (@p98) :args (@t117)) % 16.03/16.21 (step @p100 :rule refl :args (@t118)) % 16.03/16.21 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t119)) % 16.03/16.21 (step @p102 :rule eq-symm :args (@t115 @t75)) % 16.03/16.21 (step @p103 :rule cong :premises (@p102 @p101) :args (@t120)) % 16.03/16.21 (step @p104 :rule refl :args (@t121)) % 16.03/16.21 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t122)) % 16.03/16.21 (step @p106 :rule cong :premises (@p105) :args (@t124)) % 16.03/16.21 (step @p107 :rule quant-merge-prenex :args ((= (forall @t3 @t126) @t124))) % 16.03/16.21 (step @p108 :rule alpha_equiv :args (@t127 (@list @t115) (@list @t5))) % 16.03/16.21 (step @p109 :rule refl :args (@t121)) % 16.03/16.21 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t128)) % 16.03/16.21 (step @p111 :rule quant-miniscope-or :args ((= @t126 @t128))) % 16.03/16.21 (step @p112 :rule trans :premises (@p111 @p110)) % 16.03/16.21 (step @p113 :rule symm :premises (@p112)) % 16.03/16.21 (step @p114 :rule cong :premises (@p113) :args ((forall @t3 (or @t121 @t76)))) % 16.03/16.21 (step @p115 :rule trans :premises (@p114 @p107)) % 16.03/16.21 (step @p116 :rule trans :premises (@p115 @p106)) % 16.03/16.21 (step @p117 :rule bool-impl-elim :args (@t44 @t76)) % 16.03/16.21 (step @p118 :rule cong :premises (@p117) :args (@t77)) % 16.03/16.21 (step @p119 :rule trans :premises (@p118 @p116)) % 16.03/16.21 (step @p120 :rule eq_resolve :premises (@p50 @p119)) % 16.03/16.21 (step @p121 :rule bool-eq-true :args (@t132)) % 16.03/16.21 (step @p122 :rule eq-symm :args (true @t132)) % 16.03/16.21 (step @p123 :rule trans :premises (@p122 @p121)) % 16.03/16.21 (step @p124 :rule refl :args (@t132)) % 16.03/16.21 (step @p125 :rule eq-refl :args (@t82)) % 16.03/16.21 (step @p126 :rule cong :premises (@p125 @p124) :args (@t133)) % 16.03/16.21 (step @p127 :rule trans :premises (@p126 @p123)) % 16.03/16.21 (step @p128 :rule refl :args (@t134)) % 16.03/16.21 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t135)) % 16.03/16.21 (step @p130 :rule refl :args (@t136)) % 16.03/16.21 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t136 @t135))) % 16.03/16.21 (assume-push @p321 @t136) % 16.03/16.21 (step @p133 :rule instantiate :premises (@p120) :args ((@list tptp.xm @t82))) % 16.03/16.21 (step-pop @p322 :rule scope :premises (@p133)) % 16.03/16.21 (step @p134 :rule process_scope :premises (@p322) :args (@t135)) % 16.03/16.21 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 16.03/16.21 (step @p137 :rule implies_elim :premises (@p136)) % 16.03/16.21 (step @p138 :rule chain_m_resolution :premises (@p137 @p120) :args (@t137 @t138 @t139)) % 16.03/16.21 (step @p139 :rule and_elim :premises (@p54) :args (0)) % 16.03/16.21 (step @p140 :rule cnf_or_pos :args (@t137)) % 16.03/16.21 (step @p141 :rule reordering :premises (@p140) :args ((or @t134 @t132 (not @t137)))) % 16.03/16.21 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p138) :args (@t132 @t140 (@list @t79 @t137))) % 16.03/16.21 (step @p143 :rule cnf_and_pos :args (@t132 1)) % 16.03/16.21 (step @p144 :rule reordering :premises (@p143) :args ((or @t131 (not @t132)))) % 16.03/16.21 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t131 @t138 (@list @t132))) % 16.03/16.21 (step @p146 :rule eq-symm :args (@t129 @t130)) % 16.03/16.21 (step @p147 :rule cong :premises (@p146) :args ((forall @t17 (= @t129 @t130)))) % 16.03/16.21 (step @p148 :rule alpha_equiv :args (@t89 @t141 @t142)) % 16.03/16.21 (step @p149 :rule trans :premises (@p148 @p147)) % 16.03/16.21 (step @p150 :rule equiv_elim2 :premises (@p149)) % 16.03/16.21 (step @p151 :rule chain_m_resolution :premises (@p150 @p145) :args (@t89 @t138 (@list @t131))) % 16.03/16.21 (step @p152 :rule instantiate :premises (@p151) :args (@t143)) % 16.03/16.21 (step @p153 :rule cnf_equiv_pos1 :args (@t148)) % 16.03/16.21 (step @p154 :rule reordering :premises (@p153) :args ((or @t111 @t147 (not @t148)))) % 16.03/16.21 (step @p155 :rule bool-eq-true :args (@t152)) % 16.03/16.21 (step @p156 :rule eq-symm :args (true @t152)) % 16.03/16.21 (step @p157 :rule trans :premises (@p156 @p155)) % 16.03/16.21 (step @p158 :rule refl :args (@t152)) % 16.03/16.21 (step @p159 :rule eq-refl :args (@t81)) % 16.03/16.21 (step @p160 :rule cong :premises (@p159 @p158) :args (@t153)) % 16.03/16.21 (step @p161 :rule trans :premises (@p160 @p157)) % 16.03/16.21 (step @p162 :rule refl :args (@t154)) % 16.03/16.21 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t155)) % 16.03/16.21 (step @p164 :rule cong :premises (@p130 @p163) :args ((=> @t136 @t155))) % 16.03/16.21 (assume-push @p323 @t136) % 16.03/16.21 (step @p166 :rule instantiate :premises (@p120) :args ((@list tptp.xn @t81))) % 16.03/16.21 (step-pop @p324 :rule scope :premises (@p166)) % 16.03/16.21 (step @p167 :rule process_scope :premises (@p324) :args (@t155)) % 16.03/16.21 (step @p169 :rule eq_resolve :premises (@p167 @p164)) % 16.03/16.21 (step @p170 :rule implies_elim :premises (@p169)) % 16.03/16.21 (step @p171 :rule chain_m_resolution :premises (@p170 @p120) :args (@t156 @t138 @t139)) % 16.03/16.21 (step @p172 :rule and_elim :premises (@p54) :args (1)) % 16.03/16.21 (step @p173 :rule cnf_or_pos :args (@t156)) % 16.03/16.21 (step @p174 :rule reordering :premises (@p173) :args ((or @t154 @t152 (not @t156)))) % 16.03/16.21 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p171) :args (@t152 @t140 (@list @t78 @t156))) % 16.03/16.21 (step @p176 :rule cnf_and_pos :args (@t152 1)) % 16.03/16.21 (step @p177 :rule reordering :premises (@p176) :args ((or @t151 (not @t152)))) % 16.03/16.21 (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t151 @t138 (@list @t152))) % 16.03/16.21 (step @p179 :rule eq-symm :args (@t149 @t150)) % 16.03/16.21 (step @p180 :rule cong :premises (@p179) :args ((forall @t17 (= @t149 @t150)))) % 16.03/16.21 (step @p181 :rule alpha_equiv :args (@t87 @t141 @t142)) % 16.03/16.21 (step @p182 :rule trans :premises (@p181 @p180)) % 16.03/16.21 (step @p183 :rule equiv_elim2 :premises (@p182)) % 16.03/16.21 (step @p184 :rule chain_m_resolution :premises (@p183 @p178) :args (@t87 @t138 (@list @t151))) % 16.03/16.21 (step @p185 :rule instantiate :premises (@p184) :args (@t143)) % 16.03/16.21 (step @p186 :rule cnf_equiv_pos2 :args (@t159)) % 16.03/16.21 (step @p187 :rule reordering :premises (@p186) :args ((or @t109 (not @t158) (not @t159)))) % 16.03/16.21 (step @p188 :rule cnf_and_pos :args (@t147 0)) % 16.03/16.21 (step @p189 :rule reordering :premises (@p188) :args ((or @t146 @t160))) % 16.03/16.21 (step @p190 :rule cnf_and_pos :args (@t147 1)) % 16.03/16.21 (step @p191 :rule reordering :premises (@p190) :args ((or @t145 @t160))) % 16.03/16.21 (step @p192 :rule cnf_and_neg :args (@t158)) % 16.03/16.21 (step @p193 :rule reordering :premises (@p192) :args ((or @t161 @t158 (not @t157)))) % 16.03/16.21 (step @p194 :rule bool-impl-elim :args (@t44 @t162)) % 16.03/16.21 (step @p195 :rule cong :premises (@p194) :args ((forall @t3 (=> @t44 @t162)))) % 16.03/16.21 (step @p196 :rule eq-symm :args (@t40 tptp.sz00)) % 16.03/16.21 (step @p197 :rule cong :premises (@p196) :args (@t41)) % 16.03/16.21 (step @p198 :rule refl :args (@t42)) % 16.03/16.21 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t43)) % 16.03/16.21 (step @p200 :rule refl :args (@t44)) % 16.03/16.21 (step @p201 :rule cong :premises (@p200 @p199) :args (@t45)) % 16.03/16.21 (step @p202 :rule cong :premises (@p201) :args (@t46)) % 16.03/16.21 (step @p203 :rule trans :premises (@p202 @p195)) % 16.03/16.21 (step @p204 :rule eq_resolve :premises (@p25 @p203)) % 16.03/16.21 (step @p205 :rule instantiate :premises (@p204) :args (@t143)) % 16.03/16.21 (step @p206 :rule cnf_or_pos :args (@t165)) % 16.03/16.21 (step @p207 :rule reordering :premises (@p206) :args ((or @t161 @t164 (not @t165)))) % 16.03/16.21 (step @p208 :rule aci_norm :args ((= (or @t171 @t170) (or @t121 @t169 @t168 @t167 @t166 @t59)))) % 16.03/16.21 (step @p209 :rule aci_norm :args ((= (or (or @t167 @t166) @t59) @t170))) % 16.03/16.21 (step @p210 :rule refl :args (@t59)) % 16.03/16.21 (step @p211 :rule bool-and-de-morgan :args (@t52 @t60 true)) % 16.03/16.21 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or (not @t61) @t59))) % 16.03/16.21 (step @p213 :rule trans :premises (@p212 @p209)) % 16.03/16.21 (step @p214 :rule bool-impl-elim :args (@t61 @t59)) % 16.03/16.21 (step @p215 :rule trans :premises (@p214 @p213)) % 16.03/16.21 (step @p216 :rule aci_norm :args ((= (or @t121 (or @t169 @t168)) @t171))) % 16.03/16.21 (step @p217 :rule bool-and-de-morgan :args (@t48 @t63 true)) % 16.03/16.21 (step @p218 :rule nary_cong :premises (@p109 @p217) :args ((or @t121 (not (and @t48 @t63))))) % 16.03/16.21 (step @p219 :rule bool-and-de-morgan :args (@t44 @t48 (and @t63))) % 16.03/16.21 (step @p220 :rule trans :premises (@p219 @p218)) % 16.03/16.21 (step @p221 :rule trans :premises (@p220 @p216)) % 16.03/16.21 (step @p222 :rule nary_cong :premises (@p221 @p215) :args ((or (not @t64) @t62))) % 16.03/16.21 (step @p223 :rule trans :premises (@p222 @p208)) % 16.03/16.21 (step @p224 :rule bool-impl-elim :args (@t64 @t62)) % 16.03/16.21 (step @p225 :rule trans :premises (@p224 @p223)) % 16.03/16.21 (step @p226 :rule cong :premises (@p225) :args (@t65)) % 16.03/16.21 (step @p227 :rule eq_resolve :premises (@p36 @p226)) % 16.03/16.21 (step @p228 :rule instantiate :premises (@p227) :args ((@list @t144 tptp.xm tptp.xn))) % 16.03/16.21 (step @p229 :rule cnf_or_pos :args (@t175)) % 16.03/16.21 (step @p230 :rule reordering :premises (@p229) :args ((or @t134 @t154 @t172 @t173 @t157 @t174 (not @t175)))) % 16.03/16.21 (step @p231 :rule cnf_and_pos :args (@t164 0)) % 16.03/16.21 (step @p232 :rule reordering :premises (@p231) :args ((or @t163 (not @t164)))) % 16.03/16.21 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p228 @p172 @p139 @p207 @p205 @p193 @p191 @p189 @p187 @p185 @p154 @p152 @p97 @p96 @p90 @p81 @p80 @p79 @p78 @p77 @p57) :args (@t172 (@list true false false false false false true false false true false false false true false true true true true true true false) (@list @t163 @t175 @t78 @t79 @t164 @t165 @t157 @t145 @t146 @t158 @t159 @t147 @t148 @t109 @t110 @t112 @t101 @t104 @t105 @t106 @t107 @t103))) % 16.03/16.21 (step @p234 :rule cnf_implies_neg1 :args (@t107)) % 16.03/16.21 (step @p235 :rule reordering :premises (@p234) :args ((or @t80 @t107))) % 16.03/16.21 (step @p236 :rule chain_m_resolution :premises (@p235 @p233) :args (@t107 @t176 (@list @t80))) % 16.03/16.21 (step @p237 :rule chain_m_resolution :premises (@p77 @p236) :args ((not @t103) @t138 (@list @t107))) % 16.03/16.21 (step @p238 :rule cnf_implies_neg1 :args (@t103)) % 16.03/16.21 (step @p239 :rule reordering :premises (@p238) :args ((or @t102 @t103))) % 16.03/16.21 (step @p240 :rule chain_m_resolution :premises (@p239 @p237) :args (@t102 @t176 (@list @t103))) % 16.03/16.21 (step @p241 :rule cnf_and_pos :args (@t102 4)) % 16.03/16.21 (step @p242 :rule reordering :premises (@p241) :args ((or @t101 (not @t102)))) % 16.03/16.21 (step @p243 :rule chain_m_resolution :premises (@p242 @p240) :args (@t101 @t138 (@list @t102))) % 16.03/16.21 (step @p244 :rule instantiate :premises (@p151) :args (@t177)) % 16.03/16.21 (step @p245 :rule aci_norm :args ((= (or @t178 @t67) (or @t121 @t169 @t52 @t66)))) % 16.03/16.21 (step @p246 :rule refl :args (@t67)) % 16.03/16.21 (step @p247 :rule bool-and-de-morgan :args (@t44 @t48 true)) % 16.03/16.21 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t179 @t67))) % 16.03/16.21 (step @p249 :rule trans :premises (@p248 @p245)) % 16.03/16.21 (step @p250 :rule bool-impl-elim :args (@t49 @t67)) % 16.03/16.21 (step @p251 :rule trans :premises (@p250 @p249)) % 16.03/16.21 (step @p252 :rule cong :premises (@p251) :args (@t68)) % 16.03/16.21 (step @p253 :rule eq_resolve :premises (@p37 @p252)) % 16.03/16.21 (step @p254 :rule instantiate :premises (@p253) :args ((@list tptp.xm tptp.xn))) % 16.03/16.21 (step @p255 :rule cnf_or_pos :args (@t182)) % 16.03/16.21 (step @p256 :rule reordering :premises (@p255) :args ((or @t80 @t134 @t154 @t181 (not @t182)))) % 16.03/16.21 (step @p257 :rule chain_m_resolution :premises (@p256 @p233 @p139 @p172 @p254) :args (@t181 (@list true false false false) (@list @t80 @t79 @t78 @t182))) % 16.03/16.21 (step @p258 :rule cnf_and_neg :args (@t183)) % 16.03/16.21 (step @p259 :rule reordering :premises (@p258) :args ((or @t154 @t183 (not @t181)))) % 16.03/16.21 (step @p260 :rule chain_m_resolution :premises (@p259 @p172 @p257) :args (@t183 @t140 (@list @t78 @t181))) % 16.03/16.21 (step @p261 :rule cnf_equiv_pos2 :args (@t185)) % 16.03/16.21 (step @p262 :rule reordering :premises (@p261) :args ((or @t184 (not @t183) (not @t185)))) % 16.03/16.21 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p244) :args (@t184 @t140 (@list @t183 @t185))) % 16.03/16.21 (step @p264 :rule instantiate :premises (@p184) :args (@t177)) % 16.03/16.21 (step @p265 :rule aci_norm :args ((= (or @t178 @t187) (or @t121 @t169 @t167 @t186 @t22)))) % 16.03/16.21 (step @p266 :rule aci_norm :args ((= (or (or @t167 @t186) @t22) @t187))) % 16.03/16.21 (step @p267 :rule refl :args (@t22)) % 16.03/16.21 (step @p268 :rule bool-and-de-morgan :args (@t52 @t55 true)) % 16.03/16.21 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or (not @t56) @t22))) % 16.03/16.21 (step @p270 :rule trans :premises (@p269 @p266)) % 16.03/16.21 (step @p271 :rule bool-impl-elim :args (@t56 @t22)) % 16.03/16.21 (step @p272 :rule trans :premises (@p271 @p270)) % 16.03/16.21 (step @p273 :rule nary_cong :premises (@p247 @p272) :args ((or @t179 @t57))) % 16.03/16.21 (step @p274 :rule trans :premises (@p273 @p265)) % 16.03/16.21 (step @p275 :rule bool-impl-elim :args (@t49 @t57)) % 16.03/16.21 (step @p276 :rule trans :premises (@p275 @p274)) % 16.03/16.21 (step @p277 :rule cong :premises (@p276) :args (@t58)) % 16.03/16.21 (step @p278 :rule eq_resolve :premises (@p35 @p277)) % 16.03/16.21 (step @p279 :rule instantiate :premises (@p278) :args ((@list tptp.xn @t180))) % 16.03/16.21 (step @p280 :rule bool-impl-elim :args (@t44 @t53)) % 16.03/16.21 (step @p281 :rule cong :premises (@p280) :args (@t54)) % 16.03/16.21 (step @p282 :rule eq_resolve :premises (@p33 @p281)) % 16.03/16.21 (step @p283 :rule instantiate :premises (@p282) :args (@t177)) % 16.03/16.21 (step @p284 :rule cnf_or_pos :args (@t189)) % 16.03/16.21 (step @p285 :rule reordering :premises (@p284) :args ((or @t154 @t188 (not @t189)))) % 16.03/16.21 (step @p286 :rule chain_m_resolution :premises (@p285 @p172 @p283) :args (@t188 @t140 (@list @t78 @t189))) % 16.03/16.21 (step @p287 :rule instantiate :premises (@p204) :args (@t177)) % 16.03/16.21 (step @p288 :rule cnf_or_pos :args (@t192)) % 16.03/16.21 (step @p289 :rule reordering :premises (@p288) :args ((or @t154 @t191 (not @t192)))) % 16.03/16.21 (step @p290 :rule chain_m_resolution :premises (@p289 @p172 @p287) :args (@t191 @t140 (@list @t78 @t192))) % 16.03/16.21 (step @p291 :rule cnf_and_pos :args (@t191 0)) % 16.03/16.21 (step @p292 :rule reordering :premises (@p291) :args ((or @t190 (not @t191)))) % 16.03/16.21 (step @p293 :rule chain_m_resolution :premises (@p292 @p290) :args (@t190 @t138 (@list @t191))) % 16.03/16.21 (step @p294 :rule bool-impl-elim :args (@t44 @t50)) % 16.03/16.21 (step @p295 :rule cong :premises (@p294) :args (@t51)) % 16.03/16.21 (step @p296 :rule eq_resolve :premises (@p28 @p295)) % 16.03/16.21 (step @p297 :rule instantiate :premises (@p296) :args (@t177)) % 16.03/16.21 (step @p298 :rule cnf_or_pos :args (@t195)) % 16.03/16.21 (step @p299 :rule reordering :premises (@p298) :args ((or @t154 @t194 (not @t195)))) % 16.03/16.21 (step @p300 :rule chain_m_resolution :premises (@p299 @p172 @p297) :args (@t194 @t140 (@list @t78 @t195))) % 16.03/16.21 (step @p301 :rule cnf_or_pos :args (@t200)) % 16.03/16.21 (step @p302 :rule reordering :premises (@p301) :args ((or @t154 @t193 @t199 @t198 @t197 (not @t200)))) % 16.03/16.21 (step @p303 :rule chain_m_resolution :premises (@p302 @p172 @p300 @p293 @p286 @p279) :args (@t197 (@list false true false false false) (@list @t78 @t193 @t190 @t188 @t200))) % 16.03/16.21 (step @p304 :rule cnf_and_pos :args (@t201 1)) % 16.03/16.21 (step @p305 :rule reordering :premises (@p304) :args ((or @t196 @t202))) % 16.03/16.21 (step @p306 :rule chain_m_resolution :premises (@p305 @p303) :args (@t202 @t176 (@list @t196))) % 16.03/16.21 (step @p307 :rule cnf_equiv_pos1 :args (@t204)) % 16.03/16.21 (step @p308 :rule reordering :premises (@p307) :args ((or @t201 @t205 (not @t204)))) % 16.03/16.21 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p264) :args (@t205 @t206 (@list @t201 @t204))) % 16.03/16.21 (step @p310 :rule cnf_or_pos :args (@t208)) % 16.03/16.21 (step @p311 :rule reordering :premises (@p310) :args ((or @t203 @t207 @t209))) % 16.03/16.21 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p263) :args (@t209 @t206 (@list @t203 @t184))) % 16.03/16.21 (assume-push @p325 @t101) % 16.03/16.21 (step @p314 :rule instantiate :premises (@p325) :args (@t177)) % 16.03/16.21 (step-pop @p326 :rule scope :premises (@p314)) % 16.03/16.21 (step @p315 :rule process_scope :premises (@p326) :args (@t208)) % 16.03/16.21 (step @p317 :rule implies_elim :premises (@p315)) % 16.03/16.21 (step @p318 false :rule chain_m_resolution :premises (@p317 @p312 @p243) :args (false @t206 (@list @t208 @t101))) % 16.03/16.21 ) % 16.03/16.21 % SZS output end Proof % 16.03/16.21 % cvc5 exiting %------------------------------------------------------------------------------