%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM545+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 : n029.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 0.52s 0.74s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM545+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 % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:28:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.74 % SZS status Theorem % 0.52/0.74 % SZS output start Proof % 0.52/0.74 ( % 0.52/0.74 (declare-sort $$unsorted 0) % 0.52/0.74 (declare-const tptp.xS $$unsorted) % 0.52/0.74 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.slcrc0 $$unsorted) % 0.52/0.74 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.szNzAzT0 $$unsorted) % 0.52/0.74 (declare-const tptp.sz00 $$unsorted) % 0.52/0.74 (define @t1 () (@var "W0" $$unsorted)) % 0.52/0.74 (define @t2 () (tptp.aSet0 @t1)) % 0.52/0.74 (define @t3 () (@list @t1)) % 0.52/0.74 (define @t4 () (tptp.aElement0 @t1)) % 0.52/0.74 (define @t5 () (@var "W1" $$unsorted)) % 0.52/0.74 (define @t6 () (tptp.aElement0 @t5)) % 0.52/0.74 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.52/0.74 (define @t8 () (@list @t5)) % 0.52/0.74 (define @t9 () (tptp.isFinite0 @t1)) % 0.52/0.74 (define @t10 () (= @t1 tptp.slcrc0)) % 0.52/0.74 (define @t11 () (tptp.isCountable0 @t1)) % 0.52/0.74 (define @t12 () (not @t9)) % 0.52/0.74 (define @t13 () (and @t2 @t11)) % 0.52/0.74 (define @t14 () (not @t10)) % 0.52/0.74 (define @t15 () (@var "W2" $$unsorted)) % 0.52/0.74 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.52/0.74 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.52/0.74 (define @t18 () (@list @t15)) % 0.52/0.74 (define @t19 () (tptp.aSet0 @t5)) % 0.52/0.74 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.52/0.74 (define @t21 () (tptp.isFinite0 @t5)) % 0.52/0.74 (define @t22 () (and @t2 @t9)) % 0.52/0.74 (define @t23 () (= @t1 @t5)) % 0.52/0.74 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.52/0.74 (define @t25 () (@list @t1 @t5)) % 0.52/0.74 (define @t26 () (tptp.aSet0 @t15)) % 0.52/0.74 (define @t27 () (@list @t1 @t5 @t15)) % 0.52/0.74 (define @t28 () (@var "W3" $$unsorted)) % 0.52/0.74 (define @t29 () (= @t28 @t5)) % 0.52/0.74 (define @t30 () (tptp.aElementOf0 @t28 @t1)) % 0.52/0.74 (define @t31 () (tptp.aElement0 @t28)) % 0.52/0.74 (define @t32 () (tptp.aElementOf0 @t28 @t15)) % 0.52/0.74 (define @t33 () (@list @t28)) % 0.52/0.74 (define @t34 () (tptp.sdtpldt0 @t1 @t5)) % 0.52/0.74 (define @t35 () (and @t2 @t6)) % 0.52/0.74 (define @t36 () (tptp.sdtmndt0 @t1 @t5)) % 0.52/0.74 (define @t37 () (tptp.sdtpldt0 @t5 @t1)) % 0.52/0.74 (define @t38 () (and @t19 (tptp.isCountable0 @t5))) % 0.52/0.74 (define @t39 () (tptp.sdtmndt0 @t5 @t1)) % 0.52/0.74 (define @t40 () (and @t19 @t21)) % 0.52/0.74 (define @t41 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.52/0.74 (define @t42 () (tptp.szszuzczcdt0 @t1)) % 0.52/0.74 (define @t43 () (not (= @t42 tptp.sz00))) % 0.52/0.74 (define @t44 () (tptp.aElementOf0 @t42 tptp.szNzAzT0)) % 0.52/0.74 (define @t45 () (and @t44 @t43)) % 0.52/0.74 (define @t46 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.52/0.74 (define @t47 () (=> @t46 @t45)) % 0.52/0.74 (define @t48 () (forall @t3 @t47)) % 0.52/0.74 (define @t49 () (tptp.szszuzczcdt0 @t5)) % 0.52/0.74 (define @t50 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.52/0.74 (define @t51 () (and @t46 @t50)) % 0.52/0.74 (define @t52 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.52/0.74 (define @t53 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.52/0.74 (define @t54 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.52/0.74 (define @t55 () (tptp.sdtlseqdt0 @t49 @t1)) % 0.52/0.74 (define @t56 () (tptp.sbrdtbr0 @t1)) % 0.52/0.74 (define @t57 () (tptp.szmzizndt0 @t1)) % 0.52/0.74 (define @t58 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.52/0.74 (define @t59 () (tptp.sdtlseqdt0 @t15 @t5)) % 0.52/0.74 (define @t60 () (forall @t18 (=> @t16 @t59))) % 0.52/0.74 (define @t61 () (and @t7 @t60)) % 0.52/0.74 (define @t62 () (tptp.szmzazxdt0 @t1)) % 0.52/0.74 (define @t63 () (= @t5 @t62)) % 0.52/0.74 (define @t64 () (= @t63 @t61)) % 0.52/0.74 (define @t65 () (forall @t8 @t64)) % 0.52/0.74 (define @t66 () (and @t58 @t9 @t14)) % 0.52/0.74 (define @t67 () (=> @t66 @t65)) % 0.52/0.74 (define @t68 () (forall @t3 @t67)) % 0.52/0.74 (define @t69 () (tptp.szmzizndt0 @t5)) % 0.52/0.74 (define @t70 () (tptp.slbdtrb0 @t1)) % 0.52/0.74 (define @t71 () (tptp.slbdtrb0 tptp.sz00)) % 0.52/0.74 (define @t72 () (tptp.slbdtrb0 @t5)) % 0.52/0.74 (define @t73 () (tptp.isFinite0 tptp.xS)) % 0.52/0.74 (define @t74 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 0.52/0.74 (define @t75 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.52/0.74 (define @t76 () (forall @t3 (=> @t75 @t46))) % 0.52/0.74 (define @t77 () (tptp.szmzazxdt0 tptp.xS)) % 0.52/0.74 (define @t78 () (tptp.szszuzczcdt0 @t77)) % 0.52/0.74 (define @t79 () (tptp.slbdtrb0 @t78)) % 0.52/0.74 (define @t80 () (tptp.aSubsetOf0 tptp.xS @t79)) % 0.52/0.74 (define @t81 () (tptp.aElementOf0 @t1 @t79)) % 0.52/0.74 (define @t82 () (forall @t3 (=> @t75 @t81))) % 0.52/0.74 (define @t83 () (forall @t3 (= @t81 (and @t46 (tptp.sdtlseqdt0 @t42 @t78))))) % 0.52/0.74 (define @t84 () (tptp.aSet0 @t79)) % 0.52/0.74 (define @t85 () (tptp.sdtlseqdt0 @t1 @t77)) % 0.52/0.74 (define @t86 () (forall @t3 (=> @t75 @t85))) % 0.52/0.74 (define @t87 () (tptp.aElementOf0 @t77 tptp.xS)) % 0.52/0.74 (define @t88 () (and @t87 @t86 @t84 @t83 @t82 @t80)) % 0.52/0.74 (define @t89 () (= tptp.xS tptp.slcrc0)) % 0.52/0.74 (define @t90 () (exists @t3 @t75)) % 0.52/0.74 (define @t91 () (not @t90)) % 0.52/0.74 (define @t92 () (and @t91 @t89)) % 0.52/0.74 (define @t93 () (not @t92)) % 0.52/0.74 (define @t94 () (=> @t93 @t88)) % 0.52/0.74 (define @t95 () (tptp.aSubsetOf0 tptp.xS @t70)) % 0.52/0.74 (define @t96 () (tptp.aElementOf0 @t5 @t70)) % 0.52/0.74 (define @t97 () (tptp.aElementOf0 @t5 tptp.xS)) % 0.52/0.74 (define @t98 () (forall @t8 (=> @t97 @t96))) % 0.52/0.74 (define @t99 () (or @t98 @t95)) % 0.52/0.74 (define @t100 () (forall @t8 (= @t96 (and @t50 @t55)))) % 0.52/0.74 (define @t101 () (tptp.aSet0 @t70)) % 0.52/0.74 (define @t102 () (and @t101 @t100)) % 0.52/0.74 (define @t103 () (=> @t102 @t99)) % 0.52/0.74 (define @t104 () (and @t46 @t103)) % 0.52/0.74 (define @t105 () (exists @t3 @t104)) % 0.52/0.74 (define @t106 () (not @t105)) % 0.52/0.74 (define @t107 () (and @t44 (not (= tptp.sz00 @t42)))) % 0.52/0.74 (define @t108 () (@list @t77)) % 0.52/0.74 (define @t109 () (@var "BOUND_VARIABLE_8348" $$unsorted)) % 0.52/0.74 (define @t110 () (= @t62 @t109)) % 0.52/0.74 (define @t111 () (not @t16)) % 0.52/0.74 (define @t112 () (and (tptp.aElementOf0 @t109 @t1) (forall @t18 (or @t111 (tptp.sdtlseqdt0 @t15 @t109))))) % 0.52/0.74 (define @t113 () (= (= @t109 @t62) @t112)) % 0.52/0.74 (define @t114 () (not @t58)) % 0.52/0.74 (define @t115 () (or @t114 @t12 @t10 @t113)) % 0.52/0.74 (define @t116 () (@list @t1 @t109)) % 0.52/0.74 (define @t117 () (forall @t116 @t115)) % 0.52/0.74 (define @t118 () (@list @t109)) % 0.52/0.74 (define @t119 () (forall @t118 @t115)) % 0.52/0.74 (define @t120 () (forall @t118 @t113)) % 0.52/0.74 (define @t121 () (@list @t5)) % 0.52/0.74 (define @t122 () (or @t114 @t12 @t10 @t120)) % 0.52/0.74 (define @t123 () (forall @t8 (= @t63 (and @t7 (forall @t18 (or @t111 @t59)))))) % 0.52/0.74 (define @t124 () (or @t114 @t12 @t10 @t123)) % 0.52/0.74 (define @t125 () (not @t14)) % 0.52/0.74 (define @t126 () (or @t114 @t12 @t125)) % 0.52/0.74 (define @t127 () (and @t87 (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xS)) (tptp.sdtlseqdt0 @t15 @t77))))) % 0.52/0.74 (define @t128 () (= @t127 (= @t77 @t77))) % 0.52/0.74 (define @t129 () (not @t73)) % 0.52/0.74 (define @t130 () (not @t74)) % 0.52/0.74 (define @t131 () (or @t130 @t129 @t89 @t128)) % 0.52/0.74 (define @t132 () (forall @t116 (or @t114 @t12 @t10 (= @t112 @t110)))) % 0.52/0.74 (define @t133 () (= tptp.slcrc0 tptp.xS)) % 0.52/0.74 (define @t134 () (or @t130 @t129 @t133 @t127)) % 0.52/0.74 (define @t135 () (@list false)) % 0.52/0.74 (define @t136 () (not @t95)) % 0.52/0.74 (define @t137 () (not @t97)) % 0.52/0.74 (define @t138 () (forall @t8 (or @t137 @t96))) % 0.52/0.74 (define @t139 () (not @t138)) % 0.52/0.74 (define @t140 () (@var "BOUND_VARIABLE_8445" $$unsorted)) % 0.52/0.74 (define @t141 () (= (tptp.aElementOf0 @t140 @t70) (and (tptp.aElementOf0 @t140 tptp.szNzAzT0) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t140) @t1)))) % 0.52/0.74 (define @t142 () (and @t101 @t141 @t139 @t136)) % 0.52/0.74 (define @t143 () (not @t46)) % 0.52/0.74 (define @t144 () (or @t143 @t142)) % 0.52/0.74 (define @t145 () (forall (@list @t1 @t140) @t144)) % 0.52/0.74 (define @t146 () (@list @t140)) % 0.52/0.74 (define @t147 () (forall @t146 @t144)) % 0.52/0.74 (define @t148 () (forall @t146 @t136)) % 0.52/0.74 (define @t149 () (forall @t146 @t139)) % 0.52/0.74 (define @t150 () (forall @t146 @t141)) % 0.52/0.74 (define @t151 () (forall @t146 @t101)) % 0.52/0.74 (define @t152 () (and @t151 @t150 @t149 @t148)) % 0.52/0.74 (define @t153 () (forall @t146 @t142)) % 0.52/0.74 (define @t154 () (or @t143 @t153)) % 0.52/0.74 (define @t155 () (and @t101 @t100 @t139 @t136)) % 0.52/0.74 (define @t156 () (or @t138 @t95)) % 0.52/0.74 (define @t157 () (=> @t102 @t156)) % 0.52/0.74 (define @t158 () (and @t46 @t157)) % 0.52/0.74 (define @t159 () (forall @t3 (not @t158))) % 0.52/0.74 (define @t160 () (not @t159)) % 0.52/0.74 (define @t161 () (forall @t8 (or @t137 (tptp.aElementOf0 @t5 @t71)))) % 0.52/0.74 (define @t162 () (not @t161)) % 0.52/0.74 (define @t163 () (tptp.aElementOf0 @t77 tptp.szNzAzT0)) % 0.52/0.74 (define @t164 () (and (tptp.aSet0 @t71) (= (tptp.aElementOf0 @t77 @t71) (and @t163 (tptp.sdtlseqdt0 @t78 tptp.sz00))) @t162 (not (tptp.aSubsetOf0 tptp.xS @t71)))) % 0.52/0.74 (define @t165 () (not @t41)) % 0.52/0.74 (define @t166 () (or @t165 @t164)) % 0.52/0.74 (define @t167 () (@list false false)) % 0.52/0.74 (define @t168 () (@quantifiers_skolemize @t161 0)) % 0.52/0.74 (define @t169 () (tptp.aElementOf0 @t168 @t71)) % 0.52/0.74 (define @t170 () (tptp.aElementOf0 @t168 tptp.xS)) % 0.52/0.74 (define @t171 () (not @t170)) % 0.52/0.74 (define @t172 () (or @t171 @t169)) % 0.52/0.74 (define @t173 () (not @t169)) % 0.52/0.74 (define @t174 () (@list true)) % 0.52/0.74 (define @t175 () (@list @t172)) % 0.52/0.74 (define @t176 () (not @t133)) % 0.52/0.74 (define @t177 () (= tptp.slcrc0 @t71)) % 0.52/0.74 (define @t178 () (not @t177)) % 0.52/0.74 (define @t179 () (and @t173 @t177 @t133 @t170)) % 0.52/0.74 (define @t180 () (not @t87)) % 0.52/0.74 (define @t181 () (or @t180 @t163)) % 0.52/0.74 (define @t182 () (tptp.aElementOf0 @t78 tptp.szNzAzT0)) % 0.52/0.74 (define @t183 () (and @t182 (not (= tptp.sz00 @t78)))) % 0.52/0.74 (define @t184 () (not @t163)) % 0.52/0.74 (define @t185 () (or @t184 @t183)) % 0.52/0.74 (define @t186 () (not @t75)) % 0.52/0.74 (define @t187 () (forall @t3 @t186)) % 0.52/0.74 (define @t188 () (and @t187 @t133)) % 0.52/0.74 (define @t189 () (not @t188)) % 0.52/0.74 (define @t190 () (and @t87 (forall @t3 (or @t186 @t85)) @t84 @t83 (forall @t3 (or @t186 @t81)) @t80)) % 0.52/0.74 (define @t191 () (not @t80)) % 0.52/0.74 (define @t192 () (and @t84 (= (tptp.aElementOf0 @t77 @t79) (and @t163 (tptp.sdtlseqdt0 @t78 @t78))) (not (forall @t8 (or @t137 (tptp.aElementOf0 @t5 @t79)))) @t191)) % 0.52/0.74 (define @t193 () (not @t192)) % 0.52/0.74 (define @t194 () (not @t182)) % 0.52/0.74 (define @t195 () (or @t194 @t192)) % 0.52/0.74 (assume @p1 (forall @t3 (=> @t2 true))) % 0.52/0.74 (assume @p2 (forall @t3 (=> @t4 true))) % 0.52/0.74 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.52/0.74 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.52/0.74 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.52/0.74 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.52/0.74 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.52/0.74 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.52/0.74 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.52/0.74 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.52/0.74 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.52/0.74 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.52/0.74 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.52/0.74 (assume @p14 (forall @t27 (=> (and @t2 @t19 @t26) (=> (and @t24 (tptp.aSubsetOf0 @t5 @t15)) (tptp.aSubsetOf0 @t1 @t15))))) % 0.52/0.74 (assume @p15 (forall @t25 (=> @t35 (forall @t18 (= (= @t15 @t34) (and @t26 (forall @t33 (= @t32 (and @t31 (or @t30 @t29)))))))))) % 0.52/0.74 (assume @p16 (forall @t25 (=> @t35 (forall @t18 (= (= @t15 @t36) (and @t26 (forall @t33 (= @t32 (and @t31 @t30 (not @t29)))))))))) % 0.52/0.74 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t36 @t5) @t1)))))) % 0.52/0.74 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t37 @t1) @t5))))) % 0.52/0.74 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t38 (tptp.isCountable0 @t37)))))) % 0.52/0.74 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t38 (tptp.isCountable0 @t39)))))) % 0.52/0.74 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isFinite0 @t37)))))) % 0.52/0.74 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isFinite0 @t39)))))) % 0.52/0.74 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.52/0.74 (assume @p24 @t41) % 0.52/0.74 (assume @p25 @t48) % 0.52/0.74 (assume @p26 (forall @t25 (=> @t51 (=> (= @t42 @t49) @t23)))) % 0.52/0.74 (assume @p27 (forall @t3 (=> @t46 (or (= @t1 tptp.sz00) (exists @t8 (and @t50 (= @t1 @t49))))))) % 0.52/0.74 (assume @p28 (forall @t3 (=> @t46 (not (= @t1 @t42))))) % 0.52/0.74 (assume @p29 (forall @t25 (=> @t51 (=> @t52 true)))) % 0.52/0.74 (assume @p30 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.52/0.74 (assume @p31 (forall @t3 (=> @t46 (not (tptp.sdtlseqdt0 @t42 tptp.sz00))))) % 0.52/0.74 (assume @p32 (forall @t25 (=> @t51 (= @t52 (tptp.sdtlseqdt0 @t42 @t49))))) % 0.52/0.74 (assume @p33 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t42)))) % 0.52/0.74 (assume @p34 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.52/0.74 (assume @p35 (forall @t25 (=> @t51 (=> (and @t52 (tptp.sdtlseqdt0 @t5 @t1)) @t23)))) % 0.52/0.74 (assume @p36 (forall @t27 (=> (and @t46 @t50 @t54) (=> (and @t52 @t53) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.52/0.74 (assume @p37 (forall @t25 (=> @t51 (or @t52 @t55)))) % 0.52/0.74 (assume @p38 (forall @t25 (=> @t51 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.52/0.74 (assume @p39 (forall @t3 (=> @t46 (tptp.iLess0 @t1 @t42)))) % 0.52/0.74 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 0.52/0.74 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t56 tptp.szNzAzT0) @t9)))) % 0.52/0.74 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t10)))) % 0.52/0.74 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t34) (tptp.szszuzczcdt0 @t56)))))))) % 0.52/0.74 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t36)) @t56)))))) % 0.52/0.74 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t56)))))) % 0.52/0.74 (assume @p46 (forall @t25 (=> (and @t2 @t50) (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 0.52/0.74 (assume @p47 (forall @t3 (=> (and @t58 @t14) (forall @t8 (= (= @t5 @t57) (and @t7 (forall @t18 (=> @t16 @t53)))))))) % 0.52/0.74 (assume @p48 @t68) % 0.52/0.74 (assume @p49 (forall @t25 (=> (and @t58 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t57 @t5) (tptp.aElementOf0 @t69 @t1)) (= @t57 @t69))))) % 0.52/0.74 (assume @p50 (forall @t3 (=> @t46 (forall @t8 (= (= @t5 @t70) (and @t19 (forall @t18 (= @t17 (and @t54 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.52/0.74 (assume @p51 (forall @t3 (=> @t46 (tptp.isFinite0 @t70)))) % 0.52/0.74 (assume @p52 (= @t71 tptp.slcrc0)) % 0.52/0.74 (assume @p53 (forall @t25 (=> @t51 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t49)) (or (tptp.aElementOf0 @t1 @t72) @t23))))) % 0.52/0.74 (assume @p54 (forall @t25 (=> @t51 (= @t52 (tptp.aSubsetOf0 @t70 @t72))))) % 0.52/0.74 (assume @p55 (and (tptp.aSet0 tptp.xS) @t76 @t74 @t73)) % 0.52/0.74 (assume @p56 @t94) % 0.52/0.74 (assume @p57 @t106) % 0.52/0.74 (assume @p58 true) % 0.52/0.74 (step @p59 :rule bool-impl-elim :args (@t46 @t107)) % 0.52/0.74 (step @p60 :rule cong :premises (@p59) :args ((forall @t3 (=> @t46 @t107)))) % 0.52/0.74 (step @p61 :rule eq-symm :args (@t42 tptp.sz00)) % 0.52/0.74 (step @p62 :rule cong :premises (@p61) :args (@t43)) % 0.52/0.74 (step @p63 :rule refl :args (@t44)) % 0.52/0.74 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t45)) % 0.52/0.74 (step @p65 :rule refl :args (@t46)) % 0.52/0.74 (step @p66 :rule cong :premises (@p65 @p64) :args (@t47)) % 0.52/0.74 (step @p67 :rule cong :premises (@p66) :args (@t48)) % 0.52/0.74 (step @p68 :rule trans :premises (@p67 @p60)) % 0.52/0.74 (step @p69 :rule eq_resolve :premises (@p25 @p68)) % 0.52/0.74 (step @p70 :rule instantiate :premises (@p69) :args (@t108)) % 0.52/0.74 (step @p71 :rule bool-impl-elim :args (@t75 @t46)) % 0.52/0.74 (step @p72 :rule cong :premises (@p71) :args (@t76)) % 0.52/0.74 (step @p73 :rule and_elim :premises (@p55) :args (1)) % 0.52/0.74 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.52/0.74 (step @p75 :rule instantiate :premises (@p74) :args (@t108)) % 0.52/0.74 (step @p76 :rule eq-symm :args (@t110 @t112)) % 0.52/0.74 (step @p77 :rule refl :args (@t112)) % 0.52/0.74 (step @p78 :rule eq-symm :args (@t109 @t62)) % 0.52/0.74 (step @p79 :rule cong :premises (@p78 @p77) :args (@t113)) % 0.52/0.74 (step @p80 :rule trans :premises (@p79 @p76)) % 0.52/0.74 (step @p81 :rule refl :args (@t10)) % 0.52/0.74 (step @p82 :rule refl :args (@t12)) % 0.52/0.74 (step @p83 :rule refl :args (@t114)) % 0.52/0.74 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80) :args (@t115)) % 0.52/0.74 (step @p85 :rule cong :premises (@p84) :args (@t117)) % 0.52/0.74 (step @p86 :rule quant-merge-prenex :args ((= (forall @t3 @t119) @t117))) % 0.52/0.74 (step @p87 :rule alpha_equiv :args (@t120 (@list @t109) @t121)) % 0.52/0.74 (step @p88 :rule refl :args (@t10)) % 0.52/0.74 (step @p89 :rule refl :args (@t12)) % 0.52/0.74 (step @p90 :rule refl :args (@t114)) % 0.52/0.74 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87) :args (@t122)) % 0.52/0.74 (step @p92 :rule quant-miniscope-or :args ((= @t119 @t122))) % 0.52/0.74 (step @p93 :rule trans :premises (@p92 @p91)) % 0.52/0.74 (step @p94 :rule symm :premises (@p93)) % 0.52/0.74 (step @p95 :rule cong :premises (@p94) :args ((forall @t3 @t124))) % 0.52/0.74 (step @p96 :rule trans :premises (@p95 @p86)) % 0.52/0.74 (step @p97 :rule trans :premises (@p96 @p85)) % 0.52/0.74 (step @p98 :rule aci_norm :args ((= (or (or @t114 @t12 @t10) @t123) @t124))) % 0.52/0.74 (step @p99 :rule refl :args (@t123)) % 0.52/0.74 (step @p100 :rule bool-double-not-elim :args (@t10)) % 0.52/0.74 (step @p101 :rule nary_cong :premises (@p90 @p89 @p100) :args (@t126)) % 0.52/0.74 (step @p102 :rule aci_norm :args ((= (or @t114 (or @t12 @t125)) @t126))) % 0.52/0.74 (step @p103 :rule trans :premises (@p102 @p101)) % 0.52/0.74 (step @p104 :rule bool-and-de-morgan :args (@t9 @t14 true)) % 0.52/0.74 (step @p105 :rule nary_cong :premises (@p90 @p104) :args ((or @t114 (not (and @t9 @t14))))) % 0.52/0.74 (step @p106 :rule bool-and-de-morgan :args (@t58 @t9 (and @t14))) % 0.52/0.74 (step @p107 :rule trans :premises (@p106 @p105)) % 0.52/0.74 (step @p108 :rule trans :premises (@p107 @p103)) % 0.52/0.74 (step @p109 :rule nary_cong :premises (@p108 @p99) :args ((or (not @t66) @t123))) % 0.52/0.74 (step @p110 :rule trans :premises (@p109 @p98)) % 0.52/0.74 (step @p111 :rule bool-impl-elim :args (@t66 @t123)) % 0.52/0.74 (step @p112 :rule trans :premises (@p111 @p110)) % 0.52/0.74 (step @p113 :rule cong :premises (@p112) :args ((forall @t3 (=> @t66 @t123)))) % 0.52/0.74 (step @p114 :rule trans :premises (@p113 @p97)) % 0.52/0.74 (step @p115 :rule bool-impl-elim :args (@t16 @t59)) % 0.52/0.74 (step @p116 :rule cong :premises (@p115) :args (@t60)) % 0.52/0.74 (step @p117 :rule refl :args (@t7)) % 0.52/0.74 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t61)) % 0.52/0.74 (step @p119 :rule refl :args (@t63)) % 0.52/0.74 (step @p120 :rule cong :premises (@p119 @p118) :args (@t64)) % 0.52/0.74 (step @p121 :rule cong :premises (@p120) :args (@t65)) % 0.52/0.74 (step @p122 :rule refl :args (@t66)) % 0.52/0.74 (step @p123 :rule cong :premises (@p122 @p121) :args (@t67)) % 0.52/0.74 (step @p124 :rule cong :premises (@p123) :args (@t68)) % 0.52/0.74 (step @p125 :rule trans :premises (@p124 @p114)) % 0.52/0.74 (step @p126 :rule eq_resolve :premises (@p48 @p125)) % 0.52/0.74 (step @p127 :rule bool-eq-true :args (@t127)) % 0.52/0.74 (step @p128 :rule eq-refl :args (@t77)) % 0.52/0.74 (step @p129 :rule refl :args (@t127)) % 0.52/0.74 (step @p130 :rule cong :premises (@p129 @p128) :args (@t128)) % 0.52/0.74 (step @p131 :rule trans :premises (@p130 @p127)) % 0.52/0.74 (step @p132 :rule eq-symm :args (tptp.xS tptp.slcrc0)) % 0.52/0.74 (step @p133 :rule refl :args (@t129)) % 0.52/0.74 (step @p134 :rule refl :args (@t130)) % 0.52/0.74 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131) :args (@t131)) % 0.52/0.74 (step @p136 :rule refl :args (@t132)) % 0.52/0.74 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t132 @t131))) % 0.52/0.74 (assume-push @p298 @t132) % 0.52/0.74 (step @p139 :rule instantiate :premises (@p126) :args ((@list tptp.xS @t77))) % 0.52/0.74 (step-pop @p299 :rule scope :premises (@p139)) % 0.52/0.74 (step @p140 :rule process_scope :premises (@p299) :args (@t131)) % 0.52/0.74 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 0.52/0.74 (step @p143 :rule implies_elim :premises (@p142)) % 0.52/0.74 (step @p144 :rule chain_m_resolution :premises (@p143 @p126) :args (@t134 @t135 (@list @t132))) % 0.52/0.74 (step @p145 :rule and_elim :premises (@p55) :args (3)) % 0.52/0.74 (step @p146 :rule and_elim :premises (@p55) :args (2)) % 0.52/0.74 (step @p147 :rule bool-double-not-elim :args (@t145)) % 0.52/0.74 (step @p148 :rule quant-merge-prenex :args ((= (forall @t3 @t147) @t145))) % 0.52/0.74 (step @p149 :rule quant-unused-vars :args ((= @t148 @t136))) % 0.52/0.74 (step @p150 :rule quant-unused-vars :args ((= @t149 @t139))) % 0.52/0.74 (step @p151 :rule alpha_equiv :args (@t150 (@list @t140) @t121)) % 0.52/0.74 (step @p152 :rule quant-unused-vars :args ((= @t151 @t101))) % 0.52/0.74 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150 @p149) :args (@t152)) % 0.52/0.74 (step @p154 :rule quant-miniscope-and :args ((= @t153 @t152))) % 0.52/0.74 (step @p155 :rule trans :premises (@p154 @p153)) % 0.52/0.74 (step @p156 :rule refl :args (@t143)) % 0.52/0.74 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t154)) % 0.52/0.74 (step @p158 :rule quant-miniscope-or :args ((= @t147 @t154))) % 0.52/0.74 (step @p159 :rule trans :premises (@p158 @p157)) % 0.52/0.74 (step @p160 :rule symm :premises (@p159)) % 0.52/0.74 (step @p161 :rule cong :premises (@p160) :args ((forall @t3 (or @t143 @t155)))) % 0.52/0.74 (step @p162 :rule trans :premises (@p161 @p148)) % 0.52/0.74 (step @p163 :rule aci_norm :args ((= (and @t102 (and @t139 @t136)) @t155))) % 0.52/0.74 (step @p164 :rule bool-or-de-morgan :args (@t138 @t95 false)) % 0.52/0.74 (step @p165 :rule refl :args (@t102)) % 0.52/0.74 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((and @t102 (not @t156)))) % 0.52/0.74 (step @p167 :rule trans :premises (@p166 @p163)) % 0.52/0.74 (step @p168 :rule bool-implies-de-morgan :args (@t102 @t156)) % 0.52/0.74 (step @p169 :rule trans :premises (@p168 @p167)) % 0.52/0.74 (step @p170 :rule nary_cong :premises (@p156 @p169) :args ((or @t143 (not @t157)))) % 0.52/0.74 (step @p171 :rule bool-and-de-morgan :args (@t46 @t157 true)) % 0.52/0.74 (step @p172 :rule trans :premises (@p171 @p170)) % 0.52/0.74 (step @p173 :rule cong :premises (@p172) :args (@t159)) % 0.52/0.74 (step @p174 :rule trans :premises (@p173 @p162)) % 0.52/0.74 (step @p175 :rule cong :premises (@p174) :args (@t160)) % 0.52/0.74 (step @p176 :rule exists-elim :args ((= (exists @t3 @t158) @t160))) % 0.52/0.74 (step @p177 :rule trans :premises (@p176 @p175)) % 0.52/0.74 (step @p178 :rule refl :args (@t95)) % 0.52/0.74 (step @p179 :rule bool-impl-elim :args (@t97 @t96)) % 0.52/0.74 (step @p180 :rule cong :premises (@p179) :args (@t98)) % 0.52/0.74 (step @p181 :rule nary_cong :premises (@p180 @p178) :args (@t99)) % 0.52/0.74 (step @p182 :rule refl :args (@t102)) % 0.52/0.74 (step @p183 :rule cong :premises (@p182 @p181) :args (@t103)) % 0.52/0.74 (step @p184 :rule nary_cong :premises (@p65 @p183) :args (@t104)) % 0.52/0.74 (step @p185 :rule cong :premises (@p184) :args (@t105)) % 0.52/0.74 (step @p186 :rule trans :premises (@p185 @p177)) % 0.52/0.74 (step @p187 :rule cong :premises (@p186) :args (@t106)) % 0.52/0.74 (step @p188 :rule trans :premises (@p187 @p147)) % 0.52/0.74 (step @p189 :rule eq_resolve :premises (@p57 @p188)) % 0.52/0.74 (step @p190 :rule instantiate :premises (@p189) :args ((@list tptp.sz00 @t77))) % 0.52/0.74 (step @p191 :rule cnf_or_pos :args (@t166)) % 0.52/0.74 (step @p192 :rule reordering :premises (@p191) :args ((or @t165 @t164 (not @t166)))) % 0.52/0.74 (step @p193 :rule chain_m_resolution :premises (@p192 @p24 @p190) :args (@t164 @t167 (@list @t41 @t166))) % 0.52/0.74 (step @p194 :rule cnf_and_pos :args (@t164 2)) % 0.52/0.74 (step @p195 :rule reordering :premises (@p194) :args ((or @t162 (not @t164)))) % 0.52/0.74 (step @p196 :rule chain_m_resolution :premises (@p195 @p193) :args (@t162 @t135 (@list @t164))) % 0.52/0.74 (step @p197 :rule skolemize :premises (@p196)) % 0.52/0.74 (step @p198 :rule cnf_or_neg :args (@t172 1)) % 0.52/0.74 (step @p199 :rule chain_m_resolution :premises (@p198 @p197) :args (@t173 @t174 @t175)) % 0.52/0.74 (step @p200 :rule bool-double-not-elim :args (@t170)) % 0.52/0.74 (step @p201 :rule refl :args (@t172)) % 0.52/0.74 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t172 (not @t171)))) % 0.52/0.74 (step @p203 :rule cnf_or_neg :args (@t172 0)) % 0.52/0.74 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.52/0.74 (step @p205 :rule reordering :premises (@p204) :args ((or @t170 @t172))) % 0.52/0.74 (step @p206 :rule chain_m_resolution :premises (@p205 @p197) :args (@t170 @t174 @t175)) % 0.52/0.74 (step @p207 :rule symm :premises (@p52)) % 0.52/0.74 (step @p208 :rule bool-double-not-elim :args (@t169)) % 0.52/0.74 (step @p209 :rule refl :args (@t171)) % 0.52/0.74 (step @p210 :rule refl :args (@t176)) % 0.52/0.74 (step @p211 :rule refl :args (@t178)) % 0.52/0.74 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209 @p208) :args ((or @t178 @t176 @t171 (not @t173)))) % 0.52/0.74 (assume-push @p300 @t173) % 0.52/0.74 (assume-push @p301 @t177) % 0.52/0.74 (assume-push @p302 @t133) % 0.52/0.74 (assume-push @p303 @t170) % 0.52/0.74 (step @p217 :rule evaluate :args ((= true false))) % 0.52/0.74 (step @p218 :rule false_intro :premises (@p199)) % 0.52/0.74 (step @p219 :rule symm :premises (@p302)) % 0.52/0.74 (step @p220 :rule trans :premises (@p219 @p207)) % 0.52/0.74 (step @p221 :rule refl :args (@t168)) % 0.52/0.74 (step @p222 :rule cong :premises (@p221 @p220) :args (@t170)) % 0.52/0.74 (step @p223 :rule true_intro :premises (@p206)) % 0.52/0.74 (step @p224 :rule symm :premises (@p223)) % 0.52/0.74 (step @p225 :rule trans :premises (@p224 @p222 @p218)) % 0.52/0.74 (step @p226 false :rule eq_resolve :premises (@p225 @p217)) % 0.52/0.74 (step-pop @p304 :rule scope :premises (@p226)) % 0.52/0.74 (step-pop @p305 :rule scope :premises (@p304)) % 0.52/0.74 (step-pop @p306 :rule scope :premises (@p305)) % 0.52/0.74 (step-pop @p307 :rule scope :premises (@p306)) % 0.52/0.74 (step @p227 :rule process_scope :premises (@p307) :args (false)) % 0.52/0.74 (assume-push @p308 @t177) % 0.52/0.74 (assume-push @p309 @t133) % 0.52/0.74 (assume-push @p310 @t170) % 0.52/0.74 (assume-push @p311 @t173) % 0.52/0.74 (step @p236 :rule and_intro :premises (@p199 @p207 @p309 @p206)) % 0.52/0.74 (step-pop @p312 :rule scope :premises (@p236)) % 0.52/0.74 (step-pop @p313 :rule scope :premises (@p312)) % 0.52/0.74 (step-pop @p314 :rule scope :premises (@p313)) % 0.52/0.74 (step-pop @p315 :rule scope :premises (@p314)) % 0.52/0.74 (step @p237 :rule process_scope :premises (@p315) :args (@t179)) % 0.52/0.74 (step @p242 :rule implies_elim :premises (@p237)) % 0.52/0.74 (step @p243 :rule resolution :premises (@p242 @p227) :args (true @t179)) % 0.52/0.74 (step @p244 :rule not_and :premises (@p243)) % 0.52/0.74 (step @p245 :rule eq_resolve :premises (@p244 @p212)) % 0.52/0.74 (step @p246 :rule chain_m_resolution :premises (@p245 @p207 @p206 @p199) :args (@t176 (@list false false true) (@list @t177 @t170 @t169))) % 0.52/0.74 (step @p247 :rule cnf_or_pos :args (@t134)) % 0.52/0.74 (step @p248 :rule reordering :premises (@p247) :args ((or @t133 @t130 @t129 @t127 (not @t134)))) % 0.52/0.74 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p146 @p145 @p144) :args (@t127 (@list true false false false) (@list @t133 @t74 @t73 @t134))) % 0.52/0.74 (step @p250 :rule cnf_and_pos :args (@t127 0)) % 0.52/0.74 (step @p251 :rule reordering :premises (@p250) :args ((or @t87 (not @t127)))) % 0.52/0.74 (step @p252 :rule chain_m_resolution :premises (@p251 @p249) :args (@t87 @t135 (@list @t127))) % 0.52/0.74 (step @p253 :rule cnf_or_pos :args (@t181)) % 0.52/0.74 (step @p254 :rule reordering :premises (@p253) :args ((or @t180 @t163 (not @t181)))) % 0.52/0.74 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p75) :args (@t163 @t167 (@list @t87 @t181))) % 0.52/0.74 (step @p256 :rule cnf_or_pos :args (@t185)) % 0.52/0.74 (step @p257 :rule reordering :premises (@p256) :args ((or @t184 @t183 (not @t185)))) % 0.52/0.74 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p70) :args (@t183 @t167 (@list @t163 @t185))) % 0.52/0.74 (step @p259 :rule cnf_and_pos :args (@t183 0)) % 0.52/0.74 (step @p260 :rule reordering :premises (@p259) :args ((or @t182 (not @t183)))) % 0.52/0.74 (step @p261 :rule chain_m_resolution :premises (@p260 @p258) :args (@t182 @t135 (@list @t183))) % 0.52/0.74 (step @p262 :rule cnf_and_pos :args (@t188 1)) % 0.52/0.74 (step @p263 :rule reordering :premises (@p262) :args ((or @t133 @t189))) % 0.52/0.74 (step @p264 :rule chain_m_resolution :premises (@p263 @p246) :args (@t189 @t174 (@list @t133))) % 0.52/0.74 (step @p265 :rule refl :args (@t190)) % 0.52/0.74 (step @p266 :rule bool-double-not-elim :args (@t188)) % 0.52/0.74 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or (not @t189) @t190))) % 0.52/0.74 (step @p268 :rule refl :args (@t80)) % 0.52/0.74 (step @p269 :rule bool-impl-elim :args (@t75 @t81)) % 0.52/0.74 (step @p270 :rule cong :premises (@p269) :args (@t82)) % 0.52/0.74 (step @p271 :rule refl :args (@t83)) % 0.52/0.74 (step @p272 :rule refl :args (@t84)) % 0.52/0.74 (step @p273 :rule bool-impl-elim :args (@t75 @t85)) % 0.52/0.74 (step @p274 :rule cong :premises (@p273) :args (@t86)) % 0.52/0.74 (step @p275 :rule refl :args (@t87)) % 0.52/0.74 (step @p276 :rule nary_cong :premises (@p275 @p274 @p272 @p271 @p270 @p268) :args (@t88)) % 0.52/0.74 (step @p277 :rule bool-double-not-elim :args (@t187)) % 0.52/0.74 (step @p278 :rule exists-elim :args ((= @t90 (not @t187)))) % 0.52/0.74 (step @p279 :rule cong :premises (@p278) :args (@t91)) % 0.52/0.74 (step @p280 :rule trans :premises (@p279 @p277)) % 0.52/0.74 (step @p281 :rule nary_cong :premises (@p280 @p132) :args (@t92)) % 0.52/0.74 (step @p282 :rule cong :premises (@p281) :args (@t93)) % 0.52/0.74 (step @p283 :rule cong :premises (@p282 @p276) :args (@t94)) % 0.52/0.74 (step @p284 :rule eq_resolve :premises (@p56 @p283)) % 0.52/0.74 (step @p285 :rule implies_elim :premises (@p284)) % 0.52/0.74 (step @p286 :rule eq_resolve :premises (@p285 @p267)) % 0.52/0.74 (step @p287 :rule chain_m_resolution :premises (@p286 @p264) :args (@t190 @t174 (@list @t188))) % 0.52/0.74 (step @p288 :rule cnf_and_pos :args (@t190 5)) % 0.52/0.74 (step @p289 :rule reordering :premises (@p288) :args ((or @t80 (not @t190)))) % 0.52/0.74 (step @p290 :rule chain_m_resolution :premises (@p289 @p287) :args (@t80 @t135 (@list @t190))) % 0.52/0.74 (step @p291 :rule cnf_and_pos :args (@t192 3)) % 0.52/0.74 (step @p292 :rule reordering :premises (@p291) :args ((or @t191 @t193))) % 0.52/0.74 (step @p293 :rule chain_m_resolution :premises (@p292 @p290) :args (@t193 @t135 (@list @t80))) % 0.52/0.74 (step @p294 :rule instantiate :premises (@p189) :args ((@list @t78 @t77))) % 0.52/0.74 (step @p295 :rule cnf_or_pos :args (@t195)) % 0.52/0.74 (step @p296 :rule reordering :premises (@p295) :args ((or @t194 @t192 (not @t195)))) % 0.52/0.74 (step @p297 false :rule chain_m_resolution :premises (@p296 @p294 @p293 @p261) :args (false (@list false true false) (@list @t195 @t192 @t182))) % 0.52/0.74 ) % 0.52/0.74 % SZS output end Proof % 0.52/0.74 % cvc5 exiting %------------------------------------------------------------------------------