%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM538+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:39:46 AM UTC 2026 % Result : Theorem 9.42s 9.66s % Output : Proof 9.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM538+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.34 % Computer : n020.cluster.edu % 0.19/0.34 % Model : x86_64 x86_64 % 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.34 % Memory : 8042.1875MB % 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.34 % CPULimit : 300 % 0.19/0.34 % WCLimit : 300 % 0.19/0.34 % DateTime : Tue Jun 2 11:28:40 EDT 2026 % 0.19/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 9.42/9.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 9.42/9.66 % SZS status Theorem % 9.42/9.66 % SZS output start Proof % 9.42/9.66 ( % 9.42/9.66 (declare-sort $$unsorted 0) % 9.42/9.66 (declare-const tptp.xx $$unsorted) % 9.42/9.66 (declare-const tptp.xS $$unsorted) % 9.42/9.66 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 9.42/9.66 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.slcrc0 $$unsorted) % 9.42/9.66 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 9.42/9.66 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 9.42/9.66 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 9.42/9.66 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 9.42/9.66 (declare-const tptp.szNzAzT0 $$unsorted) % 9.42/9.66 (declare-const tptp.sz00 $$unsorted) % 9.42/9.66 (define @t1 () (@var "W0" $$unsorted)) % 9.42/9.66 (define @t2 () (tptp.aSet0 @t1)) % 9.42/9.66 (define @t3 () (@list @t1)) % 9.42/9.66 (define @t4 () (tptp.aElement0 @t1)) % 9.42/9.66 (define @t5 () (@var "W1" $$unsorted)) % 9.42/9.66 (define @t6 () (tptp.aElement0 @t5)) % 9.42/9.66 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 9.42/9.66 (define @t8 () (@list @t5)) % 9.42/9.66 (define @t9 () (forall @t8 (=> @t7 @t6))) % 9.42/9.66 (define @t10 () (=> @t2 @t9)) % 9.42/9.66 (define @t11 () (forall @t3 @t10)) % 9.42/9.66 (define @t12 () (tptp.isFinite0 @t1)) % 9.42/9.66 (define @t13 () (= @t1 tptp.slcrc0)) % 9.42/9.66 (define @t14 () (tptp.isCountable0 @t1)) % 9.42/9.66 (define @t15 () (not @t12)) % 9.42/9.66 (define @t16 () (and @t2 @t14)) % 9.42/9.66 (define @t17 () (@var "W2" $$unsorted)) % 9.42/9.66 (define @t18 () (@list @t17)) % 9.42/9.66 (define @t19 () (tptp.aSet0 @t5)) % 9.42/9.66 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 9.42/9.66 (define @t21 () (tptp.isFinite0 @t5)) % 9.42/9.66 (define @t22 () (and @t2 @t12)) % 9.42/9.66 (define @t23 () (= @t1 @t5)) % 9.42/9.66 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 9.42/9.66 (define @t25 () (@list @t1 @t5)) % 9.42/9.66 (define @t26 () (tptp.aSet0 @t17)) % 9.42/9.66 (define @t27 () (@list @t1 @t5 @t17)) % 9.42/9.66 (define @t28 () (@var "W3" $$unsorted)) % 9.42/9.66 (define @t29 () (= @t28 @t5)) % 9.42/9.66 (define @t30 () (tptp.aElementOf0 @t28 @t1)) % 9.42/9.66 (define @t31 () (tptp.aElement0 @t28)) % 9.42/9.66 (define @t32 () (tptp.aElementOf0 @t28 @t17)) % 9.42/9.66 (define @t33 () (@list @t28)) % 9.42/9.66 (define @t34 () (tptp.sdtpldt0 @t1 @t5)) % 9.42/9.66 (define @t35 () (and @t2 @t6)) % 9.42/9.66 (define @t36 () (not @t29)) % 9.42/9.66 (define @t37 () (and @t31 @t30 @t36)) % 9.42/9.66 (define @t38 () (= @t32 @t37)) % 9.42/9.66 (define @t39 () (forall @t33 @t38)) % 9.42/9.66 (define @t40 () (and @t26 @t39)) % 9.42/9.66 (define @t41 () (tptp.sdtmndt0 @t1 @t5)) % 9.42/9.66 (define @t42 () (= @t17 @t41)) % 9.42/9.66 (define @t43 () (= @t42 @t40)) % 9.42/9.66 (define @t44 () (forall @t18 @t43)) % 9.42/9.66 (define @t45 () (=> @t35 @t44)) % 9.42/9.66 (define @t46 () (forall @t25 @t45)) % 9.42/9.66 (define @t47 () (tptp.sdtpldt0 @t41 @t5)) % 9.42/9.66 (define @t48 () (=> @t7 (= @t47 @t1))) % 9.42/9.66 (define @t49 () (forall @t8 @t48)) % 9.42/9.66 (define @t50 () (=> @t2 @t49)) % 9.42/9.66 (define @t51 () (forall @t3 @t50)) % 9.42/9.66 (define @t52 () (tptp.sdtpldt0 @t5 @t1)) % 9.42/9.66 (define @t53 () (and @t19 (tptp.isCountable0 @t5))) % 9.42/9.66 (define @t54 () (tptp.sdtmndt0 @t5 @t1)) % 9.42/9.66 (define @t55 () (and @t19 @t21)) % 9.42/9.66 (define @t56 () (tptp.isFinite0 @t54)) % 9.42/9.66 (define @t57 () (forall @t8 (=> @t55 @t56))) % 9.42/9.66 (define @t58 () (=> @t4 @t57)) % 9.42/9.66 (define @t59 () (forall @t3 @t58)) % 9.42/9.66 (define @t60 () (tptp.szszuzczcdt0 @t1)) % 9.42/9.66 (define @t61 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 9.42/9.66 (define @t62 () (tptp.szszuzczcdt0 @t5)) % 9.42/9.66 (define @t63 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 9.42/9.66 (define @t64 () (and @t61 @t63)) % 9.42/9.66 (define @t65 () (tptp.sdtlseqdt0 @t1 @t5)) % 9.42/9.66 (define @t66 () (tptp.sbrdtbr0 @t1)) % 9.42/9.66 (define @t67 () (tptp.szszuzczcdt0 @t66)) % 9.42/9.66 (define @t68 () (= (tptp.sbrdtbr0 @t34) @t67)) % 9.42/9.66 (define @t69 () (not @t7)) % 9.42/9.66 (define @t70 () (=> @t69 @t68)) % 9.42/9.66 (define @t71 () (forall @t8 (=> @t6 @t70))) % 9.42/9.66 (define @t72 () (=> @t22 @t71)) % 9.42/9.66 (define @t73 () (forall @t3 @t72)) % 9.42/9.66 (define @t74 () (tptp.aSet0 tptp.xS)) % 9.42/9.66 (define @t75 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 9.42/9.66 (define @t76 () (tptp.isFinite0 tptp.xS)) % 9.42/9.66 (define @t77 () (tptp.sdtmndt0 tptp.xS tptp.xx)) % 9.42/9.66 (define @t78 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t77))) % 9.42/9.66 (define @t79 () (= @t78 (tptp.sbrdtbr0 tptp.xS))) % 9.42/9.66 (define @t80 () (not @t79)) % 9.42/9.66 (define @t81 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 9.42/9.66 (define @t82 () (= @t1 (tptp.sdtpldt0 (tptp.sdtmndt0 @t1 @t81) @t81))) % 9.42/9.66 (define @t83 () (not (tptp.aElementOf0 @t81 @t1))) % 9.42/9.66 (define @t84 () (not @t2)) % 9.42/9.66 (define @t85 () (or @t83 @t82)) % 9.42/9.66 (define @t86 () (or @t84 @t85)) % 9.42/9.66 (define @t87 () (forall (@list @t1 @t81) @t86)) % 9.42/9.66 (define @t88 () (@list @t81)) % 9.42/9.66 (define @t89 () (forall @t88 @t86)) % 9.42/9.66 (define @t90 () (forall @t88 @t85)) % 9.42/9.66 (define @t91 () (@list @t5)) % 9.42/9.66 (define @t92 () (or @t84 @t90)) % 9.42/9.66 (define @t93 () (= @t1 @t47)) % 9.42/9.66 (define @t94 () (forall @t8 (or @t69 @t93))) % 9.42/9.66 (define @t95 () (@list tptp.xS tptp.xx)) % 9.42/9.66 (define @t96 () (tptp.sdtpldt0 @t77 tptp.xx)) % 9.42/9.66 (define @t97 () (= tptp.xS @t96)) % 9.42/9.66 (define @t98 () (not @t75)) % 9.42/9.66 (define @t99 () (not @t74)) % 9.42/9.66 (define @t100 () (or @t99 @t98 @t97)) % 9.42/9.66 (define @t101 () (@list false false false)) % 9.42/9.66 (define @t102 () (@var "BOUND_VARIABLE_8086" $$unsorted)) % 9.42/9.66 (define @t103 () (tptp.sbrdtbr0 (tptp.sdtpldt0 @t1 @t102))) % 9.42/9.66 (define @t104 () (tptp.aElementOf0 @t102 @t1)) % 9.42/9.66 (define @t105 () (not (tptp.aElement0 @t102))) % 9.42/9.66 (define @t106 () (= @t103 @t67)) % 9.42/9.66 (define @t107 () (or @t84 @t15 @t105 @t104 @t106)) % 9.42/9.66 (define @t108 () (or @t105 @t104 @t106)) % 9.42/9.66 (define @t109 () (or @t84 @t15 @t108)) % 9.42/9.66 (define @t110 () (forall (@list @t1 @t102) @t109)) % 9.42/9.66 (define @t111 () (@list @t102)) % 9.42/9.66 (define @t112 () (forall @t111 @t109)) % 9.42/9.66 (define @t113 () (forall @t111 @t108)) % 9.42/9.66 (define @t114 () (or @t84 @t15 @t113)) % 9.42/9.66 (define @t115 () (not @t6)) % 9.42/9.66 (define @t116 () (or @t115 @t7 @t68)) % 9.42/9.66 (define @t117 () (forall @t8 @t116)) % 9.42/9.66 (define @t118 () (or @t84 @t15 @t117)) % 9.42/9.66 (define @t119 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 9.42/9.66 (define @t120 () (tptp.aElementOf0 @t28 @t119)) % 9.42/9.66 (define @t121 () (and @t31 @t30 (not (= @t5 @t28)))) % 9.42/9.66 (define @t122 () (forall @t33 (= @t120 @t121))) % 9.42/9.66 (define @t123 () (tptp.aSet0 @t119)) % 9.42/9.66 (define @t124 () (and @t123 @t122)) % 9.42/9.66 (define @t125 () (= (= @t119 @t41) @t124)) % 9.42/9.66 (define @t126 () (or @t84 @t115 @t125)) % 9.42/9.66 (define @t127 () (@list @t1 @t5 @t119)) % 9.42/9.66 (define @t128 () (forall @t127 @t126)) % 9.42/9.66 (define @t129 () (@list @t119)) % 9.42/9.66 (define @t130 () (forall @t129 @t126)) % 9.42/9.66 (define @t131 () (forall @t129 @t125)) % 9.42/9.66 (define @t132 () (or @t84 @t115 @t131)) % 9.42/9.66 (define @t133 () (forall @t18 (= @t42 (and @t26 (forall @t33 (= @t32 @t121)))))) % 9.42/9.66 (define @t134 () (or @t84 @t115 @t133)) % 9.42/9.66 (define @t135 () (tptp.aElementOf0 @t28 tptp.xS)) % 9.42/9.66 (define @t136 () (tptp.aElementOf0 @t28 @t77)) % 9.42/9.66 (define @t137 () (forall @t33 (= @t136 (and @t31 @t135 (not (= @t28 tptp.xx)))))) % 9.42/9.66 (define @t138 () (tptp.aSet0 @t77)) % 9.42/9.66 (define @t139 () (and @t138 @t137)) % 9.42/9.66 (define @t140 () (not (= tptp.xx @t28))) % 9.42/9.66 (define @t141 () (and @t31 @t135 @t140)) % 9.42/9.66 (define @t142 () (forall @t33 (= @t141 @t136))) % 9.42/9.66 (define @t143 () (and @t138 @t142)) % 9.42/9.66 (define @t144 () (= (= @t77 @t77) @t143)) % 9.42/9.66 (define @t145 () (tptp.aElement0 tptp.xx)) % 9.42/9.66 (define @t146 () (not @t145)) % 9.42/9.66 (define @t147 () (or @t99 @t146 @t144)) % 9.42/9.66 (define @t148 () (forall @t127 (or @t84 @t115 (= (= @t41 @t119) (and @t123 (forall @t33 (= @t121 @t120))))))) % 9.42/9.66 (define @t149 () (or @t99 @t146 @t139)) % 9.42/9.66 (define @t150 () (@list false)) % 9.42/9.66 (define @t151 () (@var "BOUND_VARIABLE_7689" $$unsorted)) % 9.42/9.66 (define @t152 () (tptp.aElement0 @t151)) % 9.42/9.66 (define @t153 () (not (tptp.aElementOf0 @t151 @t1))) % 9.42/9.66 (define @t154 () (or @t153 @t152)) % 9.42/9.66 (define @t155 () (or @t84 @t154)) % 9.42/9.66 (define @t156 () (forall (@list @t1 @t151) @t155)) % 9.42/9.66 (define @t157 () (@list @t151)) % 9.42/9.66 (define @t158 () (forall @t157 @t155)) % 9.42/9.66 (define @t159 () (forall @t157 @t154)) % 9.42/9.66 (define @t160 () (or @t84 @t159)) % 9.42/9.66 (define @t161 () (forall @t8 (or @t69 @t6))) % 9.42/9.66 (define @t162 () (or @t99 @t98 @t145)) % 9.42/9.66 (define @t163 () (not @t139)) % 9.42/9.66 (define @t164 () (@list @t139)) % 9.42/9.66 (define @t165 () (tptp.aElementOf0 tptp.xx @t77)) % 9.42/9.66 (define @t166 () (not (= tptp.xx tptp.xx))) % 9.42/9.66 (define @t167 () (and @t145 @t75 @t166)) % 9.42/9.66 (define @t168 () (= @t165 @t167)) % 9.42/9.66 (define @t169 () (@var "BOUND_VARIABLE_7971" $$unsorted)) % 9.42/9.66 (define @t170 () (tptp.isFinite0 (tptp.sdtmndt0 @t169 @t1))) % 9.42/9.66 (define @t171 () (not (tptp.isFinite0 @t169))) % 9.42/9.66 (define @t172 () (not (tptp.aSet0 @t169))) % 9.42/9.66 (define @t173 () (not @t4)) % 9.42/9.66 (define @t174 () (or @t172 @t171 @t170)) % 9.42/9.66 (define @t175 () (or @t173 @t174)) % 9.42/9.66 (define @t176 () (forall (@list @t1 @t169) @t175)) % 9.42/9.66 (define @t177 () (@list @t169)) % 9.42/9.66 (define @t178 () (forall @t177 @t175)) % 9.42/9.66 (define @t179 () (forall @t177 @t174)) % 9.42/9.66 (define @t180 () (or @t173 @t179)) % 9.42/9.66 (define @t181 () (not @t21)) % 9.42/9.66 (define @t182 () (not @t19)) % 9.42/9.66 (define @t183 () (or @t182 @t181 @t56)) % 9.42/9.66 (define @t184 () (forall @t8 @t183)) % 9.42/9.66 (define @t185 () (tptp.isFinite0 @t77)) % 9.42/9.66 (define @t186 () (not @t76)) % 9.42/9.66 (define @t187 () (or @t146 @t99 @t186 @t185)) % 9.42/9.66 (define @t188 () (tptp.sbrdtbr0 @t96)) % 9.42/9.66 (define @t189 () (= @t78 @t188)) % 9.42/9.66 (define @t190 () (not @t185)) % 9.42/9.66 (define @t191 () (not @t138)) % 9.42/9.66 (define @t192 () (or @t191 @t190 @t146 @t165 @t189)) % 9.42/9.66 (define @t193 () (not @t189)) % 9.42/9.66 (define @t194 () (not @t97)) % 9.42/9.66 (define @t195 () (and @t193 @t189)) % 9.42/9.66 (assume @p1 (forall @t3 (=> @t2 true))) % 9.42/9.66 (assume @p2 (forall @t3 (=> @t4 true))) % 9.42/9.66 (assume @p3 @t11) % 9.42/9.66 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 9.42/9.66 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 9.42/9.66 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 9.42/9.66 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 9.42/9.66 (assume @p8 (forall @t3 (=> @t16 @t15))) % 9.42/9.66 (assume @p9 (forall @t3 (=> @t16 (not @t13)))) % 9.42/9.66 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> (tptp.aElementOf0 @t17 @t5) (tptp.aElementOf0 @t17 @t1))))))))) % 9.42/9.66 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 9.42/9.66 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 9.42/9.66 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 9.42/9.66 (assume @p14 (forall @t27 (=> (and @t2 @t19 @t26) (=> (and @t24 (tptp.aSubsetOf0 @t5 @t17)) (tptp.aSubsetOf0 @t1 @t17))))) % 9.42/9.66 (assume @p15 (forall @t25 (=> @t35 (forall @t18 (= (= @t17 @t34) (and @t26 (forall @t33 (= @t32 (and @t31 (or @t30 @t29)))))))))) % 9.42/9.66 (assume @p16 @t46) % 9.42/9.66 (assume @p17 @t51) % 9.42/9.66 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t52 @t1) @t5))))) % 9.42/9.66 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isCountable0 @t52)))))) % 9.42/9.66 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isCountable0 @t54)))))) % 9.42/9.66 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t55 (tptp.isFinite0 @t52)))))) % 9.42/9.66 (assume @p22 @t59) % 9.42/9.66 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 9.42/9.66 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 9.42/9.66 (assume @p25 (forall @t3 (=> @t61 (and (tptp.aElementOf0 @t60 tptp.szNzAzT0) (not (= @t60 tptp.sz00)))))) % 9.42/9.66 (assume @p26 (forall @t25 (=> @t64 (=> (= @t60 @t62) @t23)))) % 9.42/9.66 (assume @p27 (forall @t3 (=> @t61 (or (= @t1 tptp.sz00) (exists @t8 (and @t63 (= @t1 @t62))))))) % 9.42/9.66 (assume @p28 (forall @t3 (=> @t61 (not (= @t1 @t60))))) % 9.42/9.66 (assume @p29 (forall @t25 (=> @t64 (=> @t65 true)))) % 9.42/9.66 (assume @p30 (forall @t3 (=> @t61 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 9.42/9.66 (assume @p31 (forall @t3 (=> @t61 (not (tptp.sdtlseqdt0 @t60 tptp.sz00))))) % 9.42/9.66 (assume @p32 (forall @t25 (=> @t64 (= @t65 (tptp.sdtlseqdt0 @t60 @t62))))) % 9.42/9.66 (assume @p33 (forall @t3 (=> @t61 (tptp.sdtlseqdt0 @t1 @t60)))) % 9.42/9.66 (assume @p34 (forall @t3 (=> @t61 (tptp.sdtlseqdt0 @t1 @t1)))) % 9.42/9.66 (assume @p35 (forall @t25 (=> @t64 (=> (and @t65 (tptp.sdtlseqdt0 @t5 @t1)) @t23)))) % 9.42/9.66 (assume @p36 (forall @t27 (=> (and @t61 @t63 (tptp.aElementOf0 @t17 tptp.szNzAzT0)) (=> (and @t65 (tptp.sdtlseqdt0 @t5 @t17)) (tptp.sdtlseqdt0 @t1 @t17))))) % 9.42/9.66 (assume @p37 (forall @t25 (=> @t64 (or @t65 (tptp.sdtlseqdt0 @t62 @t1))))) % 9.42/9.66 (assume @p38 (forall @t25 (=> @t64 (=> (tptp.iLess0 @t1 @t5) true)))) % 9.42/9.66 (assume @p39 (forall @t3 (=> @t61 (tptp.iLess0 @t1 @t60)))) % 9.42/9.66 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t66)))) % 9.42/9.66 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t66 tptp.szNzAzT0) @t12)))) % 9.42/9.66 (assume @p42 (forall @t3 (=> @t2 (= (= @t66 tptp.sz00) @t13)))) % 9.42/9.66 (assume @p43 @t73) % 9.42/9.66 (assume @p44 @t74) % 9.42/9.66 (assume @p45 (and @t76 @t75)) % 9.42/9.66 (assume @p46 @t80) % 9.42/9.66 (assume @p47 true) % 9.42/9.66 (step @p48 :rule aci_norm :args ((= @t86 (or @t84 @t83 @t82)))) % 9.42/9.66 (step @p49 :rule cong :premises (@p48) :args (@t87)) % 9.42/9.66 (step @p50 :rule quant-merge-prenex :args ((= (forall @t3 @t89) @t87))) % 9.42/9.66 (step @p51 :rule alpha_equiv :args (@t90 (@list @t81) @t91)) % 9.42/9.66 (step @p52 :rule refl :args (@t84)) % 9.42/9.66 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t92)) % 9.42/9.66 (step @p54 :rule quant-miniscope-or :args ((= @t89 @t92))) % 9.42/9.66 (step @p55 :rule trans :premises (@p54 @p53)) % 9.42/9.66 (step @p56 :rule symm :premises (@p55)) % 9.42/9.66 (step @p57 :rule cong :premises (@p56) :args ((forall @t3 (or @t84 @t94)))) % 9.42/9.66 (step @p58 :rule trans :premises (@p57 @p50)) % 9.42/9.66 (step @p59 :rule trans :premises (@p58 @p49)) % 9.42/9.66 (step @p60 :rule bool-impl-elim :args (@t2 @t94)) % 9.42/9.66 (step @p61 :rule cong :premises (@p60) :args ((forall @t3 (=> @t2 @t94)))) % 9.42/9.66 (step @p62 :rule trans :premises (@p61 @p59)) % 9.42/9.66 (step @p63 :rule bool-impl-elim :args (@t7 @t93)) % 9.42/9.66 (step @p64 :rule cong :premises (@p63) :args ((forall @t8 (=> @t7 @t93)))) % 9.42/9.66 (step @p65 :rule eq-symm :args (@t47 @t1)) % 9.42/9.66 (step @p66 :rule refl :args (@t7)) % 9.42/9.66 (step @p67 :rule cong :premises (@p66 @p65) :args (@t48)) % 9.42/9.66 (step @p68 :rule cong :premises (@p67) :args (@t49)) % 9.42/9.66 (step @p69 :rule trans :premises (@p68 @p64)) % 9.42/9.66 (step @p70 :rule refl :args (@t2)) % 9.42/9.66 (step @p71 :rule cong :premises (@p70 @p69) :args (@t50)) % 9.42/9.66 (step @p72 :rule cong :premises (@p71) :args (@t51)) % 9.42/9.66 (step @p73 :rule trans :premises (@p72 @p62)) % 9.42/9.66 (step @p74 :rule eq_resolve :premises (@p17 @p73)) % 9.42/9.66 (step @p75 :rule instantiate :premises (@p74) :args (@t95)) % 9.42/9.66 (step @p76 :rule and_elim :premises (@p45) :args (1)) % 9.42/9.66 (step @p77 :rule cnf_or_pos :args (@t100)) % 9.42/9.66 (step @p78 :rule reordering :premises (@p77) :args ((or @t99 @t98 @t97 (not @t100)))) % 9.42/9.66 (step @p79 :rule chain_m_resolution :premises (@p78 @p44 @p76 @p75) :args (@t97 @t101 (@list @t74 @t75 @t100))) % 9.42/9.66 (step @p80 :rule eq-symm :args (@t103 @t67)) % 9.42/9.66 (step @p81 :rule refl :args (@t104)) % 9.42/9.66 (step @p82 :rule refl :args (@t105)) % 9.42/9.66 (step @p83 :rule refl :args (@t15)) % 9.42/9.66 (step @p84 :rule refl :args (@t84)) % 9.42/9.66 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t107)) % 9.42/9.66 (step @p86 :rule aci_norm :args ((= @t109 @t107))) % 9.42/9.66 (step @p87 :rule trans :premises (@p86 @p85)) % 9.42/9.66 (step @p88 :rule cong :premises (@p87) :args (@t110)) % 9.42/9.66 (step @p89 :rule quant-merge-prenex :args ((= (forall @t3 @t112) @t110))) % 9.42/9.66 (step @p90 :rule alpha_equiv :args (@t113 (@list @t102) @t91)) % 9.42/9.66 (step @p91 :rule refl :args (@t15)) % 9.42/9.66 (step @p92 :rule nary_cong :premises (@p52 @p91 @p90) :args (@t114)) % 9.42/9.66 (step @p93 :rule quant-miniscope-or :args ((= @t112 @t114))) % 9.42/9.66 (step @p94 :rule trans :premises (@p93 @p92)) % 9.42/9.66 (step @p95 :rule symm :premises (@p94)) % 9.42/9.66 (step @p96 :rule cong :premises (@p95) :args ((forall @t3 @t118))) % 9.42/9.66 (step @p97 :rule trans :premises (@p96 @p89)) % 9.42/9.66 (step @p98 :rule trans :premises (@p97 @p88)) % 9.42/9.66 (step @p99 :rule aci_norm :args ((= (or (or @t84 @t15) @t117) @t118))) % 9.42/9.66 (step @p100 :rule refl :args (@t117)) % 9.42/9.66 (step @p101 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 9.42/9.66 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t22) @t117))) % 9.42/9.66 (step @p103 :rule trans :premises (@p102 @p99)) % 9.42/9.66 (step @p104 :rule bool-impl-elim :args (@t22 @t117)) % 9.42/9.66 (step @p105 :rule trans :premises (@p104 @p103)) % 9.42/9.66 (step @p106 :rule cong :premises (@p105) :args ((forall @t3 (=> @t22 @t117)))) % 9.42/9.66 (step @p107 :rule trans :premises (@p106 @p98)) % 9.42/9.66 (step @p108 :rule aci_norm :args ((= (or @t115 (or @t7 @t68)) @t116))) % 9.42/9.66 (step @p109 :rule refl :args (@t68)) % 9.42/9.66 (step @p110 :rule bool-double-not-elim :args (@t7)) % 9.42/9.66 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t69) @t68))) % 9.42/9.66 (step @p112 :rule bool-impl-elim :args (@t69 @t68)) % 9.42/9.66 (step @p113 :rule trans :premises (@p112 @p111)) % 9.42/9.66 (step @p114 :rule refl :args (@t115)) % 9.42/9.66 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t115 @t70))) % 9.42/9.66 (step @p116 :rule trans :premises (@p115 @p108)) % 9.42/9.66 (step @p117 :rule bool-impl-elim :args (@t6 @t70)) % 9.42/9.66 (step @p118 :rule trans :premises (@p117 @p116)) % 9.42/9.66 (step @p119 :rule cong :premises (@p118) :args (@t71)) % 9.42/9.66 (step @p120 :rule refl :args (@t22)) % 9.42/9.66 (step @p121 :rule cong :premises (@p120 @p119) :args (@t72)) % 9.42/9.66 (step @p122 :rule cong :premises (@p121) :args (@t73)) % 9.42/9.66 (step @p123 :rule trans :premises (@p122 @p107)) % 9.42/9.66 (step @p124 :rule eq_resolve :premises (@p43 @p123)) % 9.42/9.66 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t77 tptp.xx))) % 9.42/9.66 (step @p126 :rule eq-symm :args (@t120 @t121)) % 9.42/9.66 (step @p127 :rule cong :premises (@p126) :args (@t122)) % 9.42/9.66 (step @p128 :rule refl :args (@t123)) % 9.42/9.66 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t124)) % 9.42/9.66 (step @p130 :rule eq-symm :args (@t119 @t41)) % 9.42/9.66 (step @p131 :rule cong :premises (@p130 @p129) :args (@t125)) % 9.42/9.66 (step @p132 :rule refl :args (@t115)) % 9.42/9.66 (step @p133 :rule nary_cong :premises (@p84 @p132 @p131) :args (@t126)) % 9.42/9.66 (step @p134 :rule cong :premises (@p133) :args (@t128)) % 9.42/9.66 (step @p135 :rule quant-merge-prenex :args ((= (forall @t25 @t130) @t128))) % 9.42/9.66 (step @p136 :rule alpha_equiv :args (@t131 (@list @t119) (@list @t17))) % 9.42/9.66 (step @p137 :rule nary_cong :premises (@p52 @p114 @p136) :args (@t132)) % 9.42/9.66 (step @p138 :rule quant-miniscope-or :args ((= @t130 @t132))) % 9.42/9.66 (step @p139 :rule trans :premises (@p138 @p137)) % 9.42/9.66 (step @p140 :rule symm :premises (@p139)) % 9.42/9.66 (step @p141 :rule cong :premises (@p140) :args ((forall @t25 @t134))) % 9.42/9.66 (step @p142 :rule trans :premises (@p141 @p135)) % 9.42/9.66 (step @p143 :rule trans :premises (@p142 @p134)) % 9.42/9.66 (step @p144 :rule aci_norm :args ((= (or (or @t84 @t115) @t133) @t134))) % 9.42/9.66 (step @p145 :rule refl :args (@t133)) % 9.42/9.66 (step @p146 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 9.42/9.66 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t35) @t133))) % 9.42/9.66 (step @p148 :rule trans :premises (@p147 @p144)) % 9.42/9.66 (step @p149 :rule bool-impl-elim :args (@t35 @t133)) % 9.42/9.66 (step @p150 :rule trans :premises (@p149 @p148)) % 9.42/9.66 (step @p151 :rule cong :premises (@p150) :args ((forall @t25 (=> @t35 @t133)))) % 9.42/9.66 (step @p152 :rule trans :premises (@p151 @p143)) % 9.42/9.66 (step @p153 :rule eq-symm :args (@t28 @t5)) % 9.42/9.66 (step @p154 :rule cong :premises (@p153) :args (@t36)) % 9.42/9.66 (step @p155 :rule refl :args (@t30)) % 9.42/9.66 (step @p156 :rule refl :args (@t31)) % 9.42/9.66 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args (@t37)) % 9.42/9.66 (step @p158 :rule refl :args (@t32)) % 9.42/9.66 (step @p159 :rule cong :premises (@p158 @p157) :args (@t38)) % 9.42/9.66 (step @p160 :rule cong :premises (@p159) :args (@t39)) % 9.42/9.66 (step @p161 :rule refl :args (@t26)) % 9.42/9.66 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t40)) % 9.42/9.66 (step @p163 :rule refl :args (@t42)) % 9.42/9.66 (step @p164 :rule cong :premises (@p163 @p162) :args (@t43)) % 9.42/9.66 (step @p165 :rule cong :premises (@p164) :args (@t44)) % 9.42/9.66 (step @p166 :rule refl :args (@t35)) % 9.42/9.66 (step @p167 :rule cong :premises (@p166 @p165) :args (@t45)) % 9.42/9.66 (step @p168 :rule cong :premises (@p167) :args (@t46)) % 9.42/9.66 (step @p169 :rule trans :premises (@p168 @p152)) % 9.42/9.66 (step @p170 :rule eq_resolve :premises (@p16 @p169)) % 9.42/9.66 (step @p171 :rule bool-eq-true :args (@t139)) % 9.42/9.66 (step @p172 :rule eq-symm :args (true @t139)) % 9.42/9.66 (step @p173 :rule trans :premises (@p172 @p171)) % 9.42/9.66 (step @p174 :rule eq-symm :args (tptp.xx @t28)) % 9.42/9.66 (step @p175 :rule cong :premises (@p174) :args (@t140)) % 9.42/9.66 (step @p176 :rule refl :args (@t135)) % 9.42/9.66 (step @p177 :rule nary_cong :premises (@p156 @p176 @p175) :args (@t141)) % 9.42/9.66 (step @p178 :rule refl :args (@t136)) % 9.42/9.66 (step @p179 :rule cong :premises (@p178 @p177) :args ((= @t136 @t141))) % 9.42/9.66 (step @p180 :rule eq-symm :args (@t141 @t136)) % 9.42/9.66 (step @p181 :rule trans :premises (@p180 @p179)) % 9.42/9.66 (step @p182 :rule cong :premises (@p181) :args (@t142)) % 9.42/9.66 (step @p183 :rule refl :args (@t138)) % 9.42/9.66 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t143)) % 9.42/9.66 (step @p185 :rule eq-refl :args (@t77)) % 9.42/9.66 (step @p186 :rule cong :premises (@p185 @p184) :args (@t144)) % 9.42/9.66 (step @p187 :rule trans :premises (@p186 @p173)) % 9.42/9.66 (step @p188 :rule refl :args (@t146)) % 9.42/9.66 (step @p189 :rule refl :args (@t99)) % 9.42/9.66 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187) :args (@t147)) % 9.42/9.66 (step @p191 :rule refl :args (@t148)) % 9.42/9.66 (step @p192 :rule cong :premises (@p191 @p190) :args ((=> @t148 @t147))) % 9.42/9.66 (assume-push @p326 @t148) % 9.42/9.66 (step @p194 :rule instantiate :premises (@p170) :args ((@list tptp.xS tptp.xx @t77))) % 9.42/9.66 (step-pop @p327 :rule scope :premises (@p194)) % 9.42/9.66 (step @p195 :rule process_scope :premises (@p327) :args (@t147)) % 9.42/9.66 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 9.42/9.66 (step @p198 :rule implies_elim :premises (@p197)) % 9.42/9.66 (step @p199 :rule chain_m_resolution :premises (@p198 @p170) :args (@t149 @t150 (@list @t148))) % 9.42/9.66 (step @p200 :rule aci_norm :args ((= @t155 (or @t84 @t153 @t152)))) % 9.42/9.66 (step @p201 :rule cong :premises (@p200) :args (@t156)) % 9.42/9.66 (step @p202 :rule quant-merge-prenex :args ((= (forall @t3 @t158) @t156))) % 9.42/9.66 (step @p203 :rule alpha_equiv :args (@t159 (@list @t151) @t91)) % 9.42/9.66 (step @p204 :rule nary_cong :premises (@p52 @p203) :args (@t160)) % 9.42/9.66 (step @p205 :rule quant-miniscope-or :args ((= @t158 @t160))) % 9.42/9.66 (step @p206 :rule trans :premises (@p205 @p204)) % 9.42/9.66 (step @p207 :rule symm :premises (@p206)) % 9.42/9.66 (step @p208 :rule cong :premises (@p207) :args ((forall @t3 (or @t84 @t161)))) % 9.42/9.66 (step @p209 :rule trans :premises (@p208 @p202)) % 9.42/9.66 (step @p210 :rule trans :premises (@p209 @p201)) % 9.42/9.66 (step @p211 :rule bool-impl-elim :args (@t2 @t161)) % 9.42/9.66 (step @p212 :rule cong :premises (@p211) :args ((forall @t3 (=> @t2 @t161)))) % 9.42/9.66 (step @p213 :rule trans :premises (@p212 @p210)) % 9.42/9.66 (step @p214 :rule bool-impl-elim :args (@t7 @t6)) % 9.42/9.66 (step @p215 :rule cong :premises (@p214) :args (@t9)) % 9.42/9.66 (step @p216 :rule cong :premises (@p70 @p215) :args (@t10)) % 9.42/9.66 (step @p217 :rule cong :premises (@p216) :args (@t11)) % 9.42/9.66 (step @p218 :rule trans :premises (@p217 @p213)) % 9.42/9.66 (step @p219 :rule eq_resolve :premises (@p3 @p218)) % 9.42/9.66 (step @p220 :rule instantiate :premises (@p219) :args (@t95)) % 9.42/9.66 (step @p221 :rule cnf_or_pos :args (@t162)) % 9.42/9.66 (step @p222 :rule reordering :premises (@p221) :args ((or @t99 @t98 @t145 (not @t162)))) % 9.42/9.66 (step @p223 :rule chain_m_resolution :premises (@p222 @p44 @p76 @p220) :args (@t145 @t101 (@list @t74 @t75 @t162))) % 9.42/9.66 (step @p224 :rule cnf_or_pos :args (@t149)) % 9.42/9.66 (step @p225 :rule reordering :premises (@p224) :args ((or @t99 @t146 @t139 (not @t149)))) % 9.42/9.66 (step @p226 :rule chain_m_resolution :premises (@p225 @p44 @p223 @p199) :args (@t139 @t101 (@list @t74 @t145 @t149))) % 9.42/9.66 (step @p227 :rule cnf_and_pos :args (@t139 1)) % 9.42/9.66 (step @p228 :rule reordering :premises (@p227) :args ((or @t137 @t163))) % 9.42/9.66 (step @p229 :rule chain_m_resolution :premises (@p228 @p226) :args (@t137 @t150 @t164)) % 9.42/9.66 (step @p230 :rule bool-eq-false :args (@t165)) % 9.42/9.66 (step @p231 :rule absorb :args ((= (and @t145 @t75 false) false))) % 9.42/9.66 (step @p232 :rule evaluate :args ((not true))) % 9.42/9.66 (step @p233 :rule eq-refl :args (tptp.xx)) % 9.42/9.66 (step @p234 :rule cong :premises (@p233) :args (@t166)) % 9.42/9.66 (step @p235 :rule trans :premises (@p234 @p232)) % 9.42/9.66 (step @p236 :rule refl :args (@t75)) % 9.42/9.66 (step @p237 :rule refl :args (@t145)) % 9.42/9.66 (step @p238 :rule nary_cong :premises (@p237 @p236 @p235) :args (@t167)) % 9.42/9.66 (step @p239 :rule trans :premises (@p238 @p231)) % 9.42/9.66 (step @p240 :rule refl :args (@t165)) % 9.42/9.66 (step @p241 :rule cong :premises (@p240 @p239) :args (@t168)) % 9.42/9.66 (step @p242 :rule trans :premises (@p241 @p230)) % 9.42/9.66 (step @p243 :rule refl :args (@t137)) % 9.42/9.66 (step @p244 :rule cong :premises (@p243 @p242) :args ((=> @t137 @t168))) % 9.42/9.66 (assume-push @p328 @t137) % 9.42/9.66 (step @p246 :rule instantiate :premises (@p229) :args ((@list tptp.xx))) % 9.42/9.66 (step-pop @p329 :rule scope :premises (@p246)) % 9.42/9.66 (step @p247 :rule process_scope :premises (@p329) :args (@t168)) % 9.42/9.66 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 9.42/9.66 (step @p250 :rule implies_elim :premises (@p249)) % 9.42/9.66 (step @p251 :rule chain_m_resolution :premises (@p250 @p229) :args ((not @t165) @t150 (@list @t137))) % 9.42/9.66 (step @p252 :rule aci_norm :args ((= @t175 (or @t173 @t172 @t171 @t170)))) % 9.42/9.66 (step @p253 :rule cong :premises (@p252) :args (@t176)) % 9.42/9.66 (step @p254 :rule quant-merge-prenex :args ((= (forall @t3 @t178) @t176))) % 9.42/9.66 (step @p255 :rule alpha_equiv :args (@t179 (@list @t169) @t91)) % 9.42/9.66 (step @p256 :rule refl :args (@t173)) % 9.42/9.66 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t180)) % 9.42/9.66 (step @p258 :rule quant-miniscope-or :args ((= @t178 @t180))) % 9.42/9.66 (step @p259 :rule trans :premises (@p258 @p257)) % 9.42/9.66 (step @p260 :rule symm :premises (@p259)) % 9.42/9.66 (step @p261 :rule cong :premises (@p260) :args ((forall @t3 (or @t173 @t184)))) % 9.42/9.66 (step @p262 :rule trans :premises (@p261 @p254)) % 9.42/9.66 (step @p263 :rule trans :premises (@p262 @p253)) % 9.42/9.66 (step @p264 :rule bool-impl-elim :args (@t4 @t184)) % 9.42/9.66 (step @p265 :rule cong :premises (@p264) :args ((forall @t3 (=> @t4 @t184)))) % 9.42/9.66 (step @p266 :rule trans :premises (@p265 @p263)) % 9.42/9.66 (step @p267 :rule aci_norm :args ((= (or (or @t182 @t181) @t56) @t183))) % 9.42/9.66 (step @p268 :rule refl :args (@t56)) % 9.42/9.66 (step @p269 :rule bool-and-de-morgan :args (@t19 @t21 true)) % 9.42/9.66 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or (not @t55) @t56))) % 9.42/9.66 (step @p271 :rule trans :premises (@p270 @p267)) % 9.42/9.66 (step @p272 :rule bool-impl-elim :args (@t55 @t56)) % 9.42/9.66 (step @p273 :rule trans :premises (@p272 @p271)) % 9.42/9.69 (step @p274 :rule cong :premises (@p273) :args (@t57)) % 9.42/9.69 (step @p275 :rule refl :args (@t4)) % 9.42/9.69 (step @p276 :rule cong :premises (@p275 @p274) :args (@t58)) % 9.42/9.69 (step @p277 :rule cong :premises (@p276) :args (@t59)) % 9.42/9.69 (step @p278 :rule trans :premises (@p277 @p266)) % 9.42/9.69 (step @p279 :rule eq_resolve :premises (@p22 @p278)) % 9.42/9.69 (step @p280 :rule instantiate :premises (@p279) :args ((@list tptp.xx tptp.xS))) % 9.42/9.69 (step @p281 :rule and_elim :premises (@p45) :args (0)) % 9.42/9.69 (step @p282 :rule cnf_or_pos :args (@t187)) % 9.42/9.69 (step @p283 :rule reordering :premises (@p282) :args ((or @t99 @t186 @t146 @t185 (not @t187)))) % 9.42/9.69 (step @p284 :rule chain_m_resolution :premises (@p283 @p44 @p281 @p223 @p280) :args (@t185 (@list false false false false) (@list @t74 @t76 @t145 @t187))) % 9.42/9.69 (step @p285 :rule cnf_and_pos :args (@t139 0)) % 9.42/9.69 (step @p286 :rule reordering :premises (@p285) :args ((or @t138 @t163))) % 9.42/9.69 (step @p287 :rule chain_m_resolution :premises (@p286 @p226) :args (@t138 @t150 @t164)) % 9.42/9.69 (step @p288 :rule cnf_or_pos :args (@t192)) % 9.42/9.69 (step @p289 :rule reordering :premises (@p288) :args ((or @t146 @t191 @t190 @t165 @t189 (not @t192)))) % 9.42/9.69 (step @p290 :rule chain_m_resolution :premises (@p289 @p223 @p287 @p284 @p251 @p125) :args (@t189 (@list false false false true false) (@list @t145 @t138 @t185 @t165 @t192))) % 9.42/9.69 (step @p291 :rule refl :args (@t193)) % 9.42/9.69 (step @p292 :rule refl :args (@t194)) % 9.42/9.69 (step @p293 :rule bool-double-not-elim :args (@t79)) % 9.42/9.69 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291) :args ((or (not @t80) @t194 @t193))) % 9.42/9.69 (assume-push @p330 @t193) % 9.42/9.69 (assume-push @p331 @t189) % 9.42/9.69 (step @p297 :rule evaluate :args ((= false true))) % 9.42/9.69 (step @p298 :rule true_intro :premises (@p290)) % 9.42/9.69 (step @p299 :rule false_intro :premises (@p46)) % 9.42/9.69 (step @p300 :rule symm :premises (@p79)) % 9.42/9.69 (step @p301 :rule cong :premises (@p300) :args (@t188)) % 9.42/9.69 (step @p302 :rule refl :args (@t78)) % 9.42/9.69 (step @p303 :rule cong :premises (@p302 @p301) :args (@t189)) % 9.42/9.69 (step @p304 :rule trans :premises (@p303 @p299)) % 9.42/9.69 (step @p305 :rule symm :premises (@p304)) % 9.42/9.69 (step @p306 :rule trans :premises (@p305 @p298)) % 9.42/9.69 (step @p307 false :rule eq_resolve :premises (@p306 @p297)) % 9.42/9.69 (step-pop @p332 :rule scope :premises (@p307)) % 9.42/9.69 (step-pop @p333 :rule scope :premises (@p332)) % 9.42/9.69 (step @p308 :rule process_scope :premises (@p333) :args (false)) % 9.42/9.69 (assume-push @p334 @t80) % 9.42/9.69 (assume-push @p335 @t97) % 9.42/9.69 (assume-push @p336 @t189) % 9.42/9.69 (step @p299 :rule false_intro :premises (@p46)) % 9.42/9.69 (step @p300 :rule symm :premises (@p79)) % 9.42/9.69 (step @p301 :rule cong :premises (@p300) :args (@t188)) % 9.42/9.69 (step @p302 :rule refl :args (@t78)) % 9.42/9.69 (step @p303 :rule cong :premises (@p302 @p301) :args (@t189)) % 9.42/9.69 (step @p314 :rule trans :premises (@p303 @p299)) % 9.42/9.69 (step @p315 :rule false_elim :premises (@p314)) % 9.42/9.69 (step @p316 :rule and_intro :premises (@p315 @p290)) % 9.42/9.69 (step-pop @p337 :rule scope :premises (@p316)) % 9.42/9.69 (step-pop @p338 :rule scope :premises (@p337)) % 9.42/9.69 (step-pop @p339 :rule scope :premises (@p338)) % 9.42/9.69 (step @p317 :rule process_scope :premises (@p339) :args (@t195)) % 9.42/9.69 (step @p321 :rule implies_elim :premises (@p317)) % 9.42/9.69 (step @p322 :rule resolution :premises (@p321 @p308) :args (true @t195)) % 9.42/9.69 (step @p323 :rule not_and :premises (@p322)) % 9.42/9.69 (step @p324 :rule eq_resolve :premises (@p323 @p294)) % 9.42/9.69 (step @p325 false :rule chain_m_resolution :premises (@p324 @p290 @p79 @p46) :args (false (@list false false true) (@list @t189 @t97 @t79))) % 9.42/9.69 ) % 9.42/9.69 % SZS output end Proof % 9.42/9.69 % cvc5 exiting %------------------------------------------------------------------------------