%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM013+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:10:24 AM UTC 2026 % Result : Theorem 16.11s 16.36s % Output : Proof 16.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM013+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 20:28:21 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.11/16.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.11/16.36 --- Run --no-e-matching --full-saturate-quant at 6... % 16.11/16.36 % SZS status Theorem % 16.11/16.36 % SZS output start Proof % 16.11/16.36 ( % 16.11/16.36 (declare-sort $$unsorted 0) % 16.11/16.36 (declare-const tptp.xR $$unsorted) % 16.11/16.36 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.11/16.36 (define @t1 () (@var "W0" $$unsorted)) % 16.11/16.36 (define @t2 () (tptp.aElement0 @t1)) % 16.11/16.36 (define @t3 () (@list @t1)) % 16.11/16.36 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 16.11/16.36 (define @t5 () (@var "W2" $$unsorted)) % 16.11/16.36 (define @t6 () (tptp.aElement0 @t5)) % 16.11/16.36 (define @t7 () (@var "W1" $$unsorted)) % 16.11/16.36 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 16.11/16.36 (define @t9 () (@list @t5)) % 16.11/16.36 (define @t10 () (forall @t9 (=> @t8 @t6))) % 16.11/16.36 (define @t11 () (tptp.aRewritingSystem0 @t7)) % 16.11/16.36 (define @t12 () (and @t2 @t11)) % 16.11/16.36 (define @t13 () (=> @t12 @t10)) % 16.11/16.36 (define @t14 () (@list @t1 @t7)) % 16.11/16.36 (define @t15 () (forall @t14 @t13)) % 16.11/16.36 (define @t16 () (tptp.aElement0 @t7)) % 16.11/16.36 (define @t17 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 16.11/16.36 (define @t18 () (and @t2 @t11 @t6)) % 16.11/16.36 (define @t19 () (@list @t1 @t7 @t5)) % 16.11/16.36 (define @t20 () (@var "W3" $$unsorted)) % 16.11/16.36 (define @t21 () (tptp.sdtmndtplgtdt0 @t20 @t7 @t5)) % 16.11/16.36 (define @t22 () (tptp.aReductOfIn0 @t20 @t1 @t7)) % 16.11/16.36 (define @t23 () (tptp.aElement0 @t20)) % 16.11/16.36 (define @t24 () (and @t23 @t22 @t21)) % 16.11/16.36 (define @t25 () (@list @t20)) % 16.11/16.36 (define @t26 () (exists @t25 @t24)) % 16.11/16.36 (define @t27 () (or @t8 @t26)) % 16.11/16.36 (define @t28 () (= @t17 @t27)) % 16.11/16.36 (define @t29 () (=> @t18 @t28)) % 16.11/16.36 (define @t30 () (forall @t19 @t29)) % 16.11/16.36 (define @t31 () (and @t2 @t11 @t6 @t23)) % 16.11/16.36 (define @t32 () (@list @t1 @t7 @t5 @t20)) % 16.11/16.36 (define @t33 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 16.11/16.36 (define @t34 () (= @t33 (or (= @t1 @t5) @t17))) % 16.11/16.36 (define @t35 () (forall @t19 (=> @t18 @t34))) % 16.11/16.36 (define @t36 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t20)) % 16.11/16.36 (define @t37 () (tptp.sdtmndtasgtdt0 @t5 @t7 @t20)) % 16.11/16.36 (define @t38 () (and @t33 @t37)) % 16.11/16.36 (define @t39 () (=> @t38 @t36)) % 16.11/16.36 (define @t40 () (forall @t32 (=> @t31 @t39))) % 16.11/16.36 (define @t41 () (@var "W4" $$unsorted)) % 16.11/16.36 (define @t42 () (exists (@list @t41) (and (tptp.aElement0 @t41) (tptp.sdtmndtasgtdt0 @t5 @t1 @t41) (tptp.sdtmndtasgtdt0 @t20 @t1 @t41)))) % 16.11/16.36 (define @t43 () (@list @t7 @t5 @t20)) % 16.11/16.36 (define @t44 () (tptp.iLess0 @t5 @t7)) % 16.11/16.36 (define @t45 () (tptp.sdtmndtplgtdt0 @t7 @t1 @t5)) % 16.11/16.36 (define @t46 () (=> @t45 @t44)) % 16.11/16.36 (define @t47 () (and @t16 @t6)) % 16.11/16.36 (define @t48 () (@list @t7 @t5)) % 16.11/16.36 (define @t49 () (forall @t48 (=> @t47 @t46))) % 16.11/16.36 (define @t50 () (tptp.isTerminating0 @t1)) % 16.11/16.36 (define @t51 () (= @t50 @t49)) % 16.11/16.36 (define @t52 () (=> @t4 @t51)) % 16.11/16.36 (define @t53 () (forall @t3 @t52)) % 16.11/16.36 (define @t54 () (tptp.aReductOfIn0 @t20 @t5 @t7)) % 16.11/16.36 (define @t55 () (exists @t25 @t54)) % 16.11/16.36 (define @t56 () (not @t55)) % 16.11/16.36 (define @t57 () (and @t6 @t33 @t56)) % 16.11/16.36 (define @t58 () (tptp.aNormalFormOfIn0 @t5 @t1 @t7)) % 16.11/16.36 (define @t59 () (= @t58 @t57)) % 16.11/16.36 (define @t60 () (forall @t9 @t59)) % 16.11/16.36 (define @t61 () (=> @t12 @t60)) % 16.11/16.36 (define @t62 () (forall @t14 @t61)) % 16.11/16.36 (define @t63 () (tptp.isTerminating0 tptp.xR)) % 16.11/16.36 (define @t64 () (tptp.aRewritingSystem0 tptp.xR)) % 16.11/16.36 (define @t65 () (tptp.aNormalFormOfIn0 @t7 @t1 tptp.xR)) % 16.11/16.36 (define @t66 () (@list @t7)) % 16.11/16.36 (define @t67 () (exists @t66 @t65)) % 16.11/16.36 (define @t68 () (tptp.aNormalFormOfIn0 @t5 @t7 tptp.xR)) % 16.11/16.36 (define @t69 () (exists @t9 @t68)) % 16.11/16.36 (define @t70 () (tptp.iLess0 @t7 @t1)) % 16.11/16.36 (define @t71 () (=> @t70 @t69)) % 16.11/16.36 (define @t72 () (=> @t16 @t71)) % 16.11/16.36 (define @t73 () (forall @t66 @t72)) % 16.11/16.36 (define @t74 () (=> @t73 @t67)) % 16.11/16.36 (define @t75 () (=> @t2 @t74)) % 16.11/16.36 (define @t76 () (forall @t3 @t75)) % 16.11/16.36 (define @t77 () (not @t76)) % 16.11/16.36 (define @t78 () (not (forall @t66 (not @t65)))) % 16.11/16.36 (define @t79 () (not (forall @t9 (not @t68)))) % 16.11/16.37 (define @t80 () (not @t70)) % 16.11/16.37 (define @t81 () (not @t16)) % 16.11/16.37 (define @t82 () (or @t81 @t80 @t79)) % 16.11/16.37 (define @t83 () (forall @t66 @t82)) % 16.11/16.37 (define @t84 () (not @t83)) % 16.11/16.37 (define @t85 () (not @t2)) % 16.11/16.37 (define @t86 () (or @t85 @t84 @t78)) % 16.11/16.37 (define @t87 () (=> @t83 @t78)) % 16.11/16.37 (define @t88 () (=> @t70 @t79)) % 16.11/16.37 (define @t89 () (@quantifiers_skolemize (forall @t3 @t86) 0)) % 16.11/16.37 (define @t90 () (tptp.aElement0 @t89)) % 16.11/16.37 (define @t91 () (forall @t66 (not (tptp.aNormalFormOfIn0 @t7 @t89 tptp.xR)))) % 16.11/16.37 (define @t92 () (not @t91)) % 16.11/16.37 (define @t93 () (forall @t66 (or @t81 (not (tptp.iLess0 @t7 @t89)) @t79))) % 16.11/16.37 (define @t94 () (not @t93)) % 16.11/16.37 (define @t95 () (not @t90)) % 16.11/16.37 (define @t96 () (or @t95 @t94 @t92)) % 16.11/16.37 (define @t97 () (@list true)) % 16.11/16.37 (define @t98 () (@list @t96)) % 16.11/16.37 (define @t99 () (@var "BOUND_VARIABLE_7680" $$unsorted)) % 16.11/16.37 (define @t100 () (= (tptp.aNormalFormOfIn0 @t99 @t1 @t7) (and (tptp.aElement0 @t99) (tptp.sdtmndtasgtdt0 @t1 @t7 @t99) (forall @t25 (not (tptp.aReductOfIn0 @t20 @t99 @t7)))))) % 16.11/16.37 (define @t101 () (not @t11)) % 16.11/16.37 (define @t102 () (or @t85 @t101 @t100)) % 16.11/16.37 (define @t103 () (@list @t99)) % 16.11/16.37 (define @t104 () (forall @t103 @t102)) % 16.11/16.37 (define @t105 () (forall @t103 @t100)) % 16.11/16.37 (define @t106 () (@list @t5)) % 16.11/16.37 (define @t107 () (or @t85 @t101 @t105)) % 16.11/16.37 (define @t108 () (forall @t25 (not @t54))) % 16.11/16.37 (define @t109 () (forall @t9 (= @t58 (and @t6 @t33 @t108)))) % 16.11/16.37 (define @t110 () (or @t85 @t101 @t109)) % 16.11/16.37 (define @t111 () (or @t85 @t101)) % 16.11/16.37 (define @t112 () (not @t12)) % 16.11/16.37 (define @t113 () (not (tptp.aReductOfIn0 @t20 @t89 tptp.xR))) % 16.11/16.37 (define @t114 () (forall @t25 @t113)) % 16.11/16.37 (define @t115 () (@quantifiers_skolemize @t114 0)) % 16.11/16.37 (define @t116 () (forall @t9 (not (tptp.aNormalFormOfIn0 @t5 @t115 tptp.xR)))) % 16.11/16.37 (define @t117 () (@quantifiers_skolemize @t116 0)) % 16.11/16.37 (define @t118 () (not @t37)) % 16.11/16.37 (define @t119 () (not @t33)) % 16.11/16.37 (define @t120 () (not @t23)) % 16.11/16.37 (define @t121 () (not @t6)) % 16.11/16.37 (define @t122 () (or @t119 @t118 @t36)) % 16.11/16.37 (define @t123 () (or @t85 @t101 @t121 @t120)) % 16.11/16.37 (define @t124 () (@var "BOUND_VARIABLE_7560" $$unsorted)) % 16.11/16.37 (define @t125 () (tptp.aElement0 @t124)) % 16.11/16.37 (define @t126 () (not (tptp.aReductOfIn0 @t124 @t1 @t7))) % 16.11/16.37 (define @t127 () (or @t126 @t125)) % 16.11/16.37 (define @t128 () (or @t85 @t101 @t127)) % 16.11/16.37 (define @t129 () (forall (@list @t1 @t7 @t124) @t128)) % 16.11/16.37 (define @t130 () (@list @t124)) % 16.11/16.37 (define @t131 () (forall @t130 @t128)) % 16.11/16.37 (define @t132 () (forall @t130 @t127)) % 16.11/16.37 (define @t133 () (or @t85 @t101 @t132)) % 16.11/16.37 (define @t134 () (forall @t9 (or (not @t8) @t6))) % 16.11/16.37 (define @t135 () (or @t85 @t101 @t134)) % 16.11/16.37 (define @t136 () (@list @t89 tptp.xR @t115)) % 16.11/16.37 (define @t137 () (@list @t89 tptp.xR @t89)) % 16.11/16.37 (define @t138 () (tptp.sdtmndtasgtdt0 @t89 tptp.xR @t89)) % 16.11/16.37 (define @t139 () (and @t90 @t138 @t114)) % 16.11/16.37 (define @t140 () (tptp.aNormalFormOfIn0 @t89 @t89 tptp.xR)) % 16.11/16.37 (define @t141 () (= @t140 @t139)) % 16.11/16.37 (define @t142 () (not @t64)) % 16.11/16.37 (define @t143 () (or @t95 @t142 @t141)) % 16.11/16.37 (define @t144 () (@list false false false)) % 16.11/16.37 (define @t145 () (not @t139)) % 16.11/16.37 (define @t146 () (@list true false)) % 16.11/16.37 (define @t147 () (or @t85 @t101 @t121 @t34)) % 16.11/16.37 (define @t148 () (or @t85 @t101 @t121)) % 16.11/16.37 (define @t149 () (not @t18)) % 16.11/16.37 (define @t150 () (tptp.sdtmndtplgtdt0 @t89 tptp.xR @t89)) % 16.11/16.37 (define @t151 () (or (= @t89 @t89) @t150)) % 16.11/16.37 (define @t152 () (= @t138 @t151)) % 16.11/16.37 (define @t153 () (or @t95 @t142 @t95 @t152)) % 16.11/16.37 (define @t154 () (forall @t19 @t147)) % 16.11/16.37 (define @t155 () (or @t95 @t142 @t95 @t138)) % 16.11/16.37 (define @t156 () (@list false)) % 16.11/16.37 (define @t157 () (not @t114)) % 16.11/16.37 (define @t158 () (tptp.aReductOfIn0 @t115 @t89 tptp.xR)) % 16.11/16.37 (define @t159 () (not @t158)) % 16.11/16.37 (define @t160 () (not @t159)) % 16.11/16.37 (define @t161 () (tptp.aElement0 @t115)) % 16.11/16.37 (define @t162 () (or @t95 @t142 @t159 @t161)) % 16.11/16.37 (define @t163 () (@list false false false false)) % 16.11/16.37 (define @t164 () (forall @t25 (not (tptp.aReductOfIn0 @t20 @t117 tptp.xR)))) % 16.11/16.37 (define @t165 () (tptp.sdtmndtasgtdt0 @t115 tptp.xR @t117)) % 16.11/16.37 (define @t166 () (tptp.aElement0 @t117)) % 16.11/16.37 (define @t167 () (and @t166 @t165 @t164)) % 16.11/16.37 (define @t168 () (tptp.aNormalFormOfIn0 @t117 @t115 tptp.xR)) % 16.11/16.37 (define @t169 () (= @t168 @t167)) % 16.11/16.37 (define @t170 () (not @t161)) % 16.11/16.37 (define @t171 () (or @t170 @t142 @t169)) % 16.11/16.37 (define @t172 () (not @t45)) % 16.11/16.37 (define @t173 () (or @t81 @t121 @t172 @t44)) % 16.11/16.37 (define @t174 () (= @t50 (forall @t48 @t173))) % 16.11/16.37 (define @t175 () (forall @t48 (or @t81 @t121 (not (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t5)) @t44))) % 16.11/16.37 (define @t176 () (= @t63 @t175)) % 16.11/16.37 (define @t177 () (or @t142 @t176)) % 16.11/16.37 (define @t178 () (@list false false)) % 16.11/16.37 (define @t179 () (not @t21)) % 16.11/16.37 (define @t180 () (not @t22)) % 16.11/16.37 (define @t181 () (or @t120 @t180 @t179)) % 16.11/16.37 (define @t182 () (= @t17 (or @t8 (not (forall @t25 @t181))))) % 16.11/16.37 (define @t183 () (forall @t25 (not @t24))) % 16.11/16.37 (define @t184 () (not @t183)) % 16.11/16.37 (define @t185 () (or @t158 (not (forall @t25 (or @t120 @t113 (not (tptp.sdtmndtplgtdt0 @t20 tptp.xR @t115))))))) % 16.11/16.37 (define @t186 () (tptp.sdtmndtplgtdt0 @t89 tptp.xR @t115)) % 16.11/16.37 (define @t187 () (= @t186 @t185)) % 16.11/16.37 (define @t188 () (or @t95 @t142 @t170 @t187)) % 16.11/16.37 (define @t189 () (tptp.iLess0 @t115 @t89)) % 16.11/16.37 (define @t190 () (not @t186)) % 16.11/16.37 (define @t191 () (or @t95 @t170 @t190 @t189)) % 16.11/16.37 (define @t192 () (not @t116)) % 16.11/16.37 (define @t193 () (not @t189)) % 16.11/16.37 (define @t194 () (or @t170 @t193 @t192)) % 16.11/16.37 (define @t195 () (not @t168)) % 16.11/16.37 (define @t196 () (not @t195)) % 16.11/16.37 (define @t197 () (not @t167)) % 16.11/16.37 (define @t198 () (@list @t167)) % 16.11/16.37 (define @t199 () (or (= @t89 @t115) @t186)) % 16.11/16.37 (define @t200 () (tptp.sdtmndtasgtdt0 @t89 tptp.xR @t115)) % 16.11/16.37 (define @t201 () (= @t200 @t199)) % 16.11/16.37 (define @t202 () (or @t95 @t142 @t170 @t201)) % 16.11/16.37 (define @t203 () (tptp.sdtmndtasgtdt0 @t89 tptp.xR @t117)) % 16.11/16.37 (define @t204 () (not @t165)) % 16.11/16.37 (define @t205 () (not @t200)) % 16.11/16.37 (define @t206 () (not @t166)) % 16.11/16.37 (define @t207 () (or @t95 @t142 @t170 @t206 @t205 @t204 @t203)) % 16.11/16.37 (define @t208 () (and @t166 @t203 @t164)) % 16.11/16.37 (define @t209 () (tptp.aNormalFormOfIn0 @t117 @t89 tptp.xR)) % 16.11/16.37 (define @t210 () (= @t209 @t208)) % 16.11/16.37 (define @t211 () (not @t210)) % 16.11/16.37 (define @t212 () (or @t95 @t142 @t210)) % 16.11/16.37 (assume @p1 (forall @t3 (=> @t2 true))) % 16.11/16.37 (assume @p2 (forall @t3 (=> @t4 true))) % 16.11/16.37 (assume @p3 @t15) % 16.11/16.37 (assume @p4 (forall @t14 (=> (and @t2 @t16) (=> (tptp.iLess0 @t1 @t7) true)))) % 16.11/16.37 (assume @p5 (forall @t19 (=> @t18 (=> @t17 true)))) % 16.11/16.37 (assume @p6 @t30) % 16.11/16.37 (assume @p7 (forall @t32 (=> @t31 (=> (and @t17 (tptp.sdtmndtplgtdt0 @t5 @t7 @t20)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t20))))) % 16.11/16.37 (assume @p8 @t35) % 16.11/16.37 (assume @p9 @t40) % 16.11/16.37 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t43 (=> (and @t16 @t6 @t23 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t20)) @t42)))))) % 16.11/16.37 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t43 (=> (and @t16 @t6 @t23 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t20 @t7 @t1)) @t42)))))) % 16.11/16.37 (assume @p12 @t53) % 16.11/16.37 (assume @p13 @t62) % 16.11/16.37 (assume @p14 (and @t64 @t63)) % 16.11/16.37 (assume @p15 @t77) % 16.11/16.37 (assume @p16 true) % 16.11/16.37 (step @p17 :rule and_elim :premises (@p14) :args (0)) % 16.11/16.37 (step @p18 :rule aci_norm :args ((= (or @t85 (or @t84 @t78)) @t86))) % 16.11/16.37 (step @p19 :rule bool-impl-elim :args (@t83 @t78)) % 16.11/16.37 (step @p20 :rule refl :args (@t85)) % 16.11/16.37 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t85 @t87))) % 16.11/16.37 (step @p22 :rule trans :premises (@p21 @p18)) % 16.11/16.37 (step @p23 :rule bool-impl-elim :args (@t2 @t87)) % 16.11/16.37 (step @p24 :rule trans :premises (@p23 @p22)) % 16.11/16.37 (step @p25 :rule cong :premises (@p24) :args ((forall @t3 (=> @t2 @t87)))) % 16.11/16.37 (step @p26 :rule exists-elim :args ((= @t67 @t78))) % 16.11/16.37 (step @p27 :rule aci_norm :args ((= (or @t81 (or @t80 @t79)) @t82))) % 16.11/16.37 (step @p28 :rule bool-impl-elim :args (@t70 @t79)) % 16.11/16.37 (step @p29 :rule refl :args (@t81)) % 16.11/16.37 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t81 @t88))) % 16.11/16.37 (step @p31 :rule trans :premises (@p30 @p27)) % 16.11/16.37 (step @p32 :rule bool-impl-elim :args (@t16 @t88)) % 16.11/16.37 (step @p33 :rule trans :premises (@p32 @p31)) % 16.11/16.37 (step @p34 :rule cong :premises (@p33) :args ((forall @t66 (=> @t16 @t88)))) % 16.11/16.37 (step @p35 :rule exists-elim :args ((= @t69 @t79))) % 16.11/16.37 (step @p36 :rule refl :args (@t70)) % 16.11/16.37 (step @p37 :rule cong :premises (@p36 @p35) :args (@t71)) % 16.11/16.37 (step @p38 :rule refl :args (@t16)) % 16.11/16.37 (step @p39 :rule cong :premises (@p38 @p37) :args (@t72)) % 16.11/16.37 (step @p40 :rule cong :premises (@p39) :args (@t73)) % 16.11/16.37 (step @p41 :rule trans :premises (@p40 @p34)) % 16.11/16.37 (step @p42 :rule cong :premises (@p41 @p26) :args (@t74)) % 16.11/16.37 (step @p43 :rule refl :args (@t2)) % 16.11/16.37 (step @p44 :rule cong :premises (@p43 @p42) :args (@t75)) % 16.11/16.37 (step @p45 :rule cong :premises (@p44) :args (@t76)) % 16.11/16.37 (step @p46 :rule trans :premises (@p45 @p25)) % 16.11/16.37 (step @p47 :rule cong :premises (@p46) :args (@t77)) % 16.11/16.37 (step @p48 :rule eq_resolve :premises (@p15 @p47)) % 16.11/16.37 (step @p49 :rule skolemize :premises (@p48)) % 16.11/16.37 (step @p50 :rule bool-double-not-elim :args (@t90)) % 16.11/16.37 (step @p51 :rule refl :args (@t96)) % 16.11/16.37 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t96 (not @t95)))) % 16.11/16.37 (step @p53 :rule cnf_or_neg :args (@t96 0)) % 16.11/16.37 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 16.11/16.37 (step @p55 :rule reordering :premises (@p54) :args ((or @t90 @t96))) % 16.11/16.37 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t90 @t97 @t98)) % 16.11/16.37 (step @p57 :rule quant-merge-prenex :args ((= (forall @t14 @t104) (forall (@list @t1 @t7 @t99) @t102)))) % 16.11/16.37 (step @p58 :rule alpha_equiv :args (@t105 (@list @t99) @t106)) % 16.11/16.37 (step @p59 :rule refl :args (@t101)) % 16.11/16.37 (step @p60 :rule nary_cong :premises (@p20 @p59 @p58) :args (@t107)) % 16.11/16.37 (step @p61 :rule quant-miniscope-or :args ((= @t104 @t107))) % 16.11/16.37 (step @p62 :rule trans :premises (@p61 @p60)) % 16.11/16.37 (step @p63 :rule symm :premises (@p62)) % 16.11/16.37 (step @p64 :rule cong :premises (@p63) :args ((forall @t14 @t110))) % 16.11/16.37 (step @p65 :rule trans :premises (@p64 @p57)) % 16.11/16.37 (step @p66 :rule aci_norm :args ((= (or @t111 @t109) @t110))) % 16.11/16.37 (step @p67 :rule refl :args (@t109)) % 16.11/16.37 (step @p68 :rule bool-and-de-morgan :args (@t2 @t11 true)) % 16.11/16.37 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t112 @t109))) % 16.11/16.37 (step @p70 :rule trans :premises (@p69 @p66)) % 16.11/16.37 (step @p71 :rule bool-impl-elim :args (@t12 @t109)) % 16.11/16.37 (step @p72 :rule trans :premises (@p71 @p70)) % 16.11/16.37 (step @p73 :rule cong :premises (@p72) :args ((forall @t14 (=> @t12 @t109)))) % 16.11/16.37 (step @p74 :rule trans :premises (@p73 @p65)) % 16.11/16.37 (step @p75 :rule bool-double-not-elim :args (@t108)) % 16.11/16.37 (step @p76 :rule exists-elim :args ((= @t55 (not @t108)))) % 16.11/16.37 (step @p77 :rule cong :premises (@p76) :args (@t56)) % 16.11/16.37 (step @p78 :rule trans :premises (@p77 @p75)) % 16.11/16.37 (step @p79 :rule refl :args (@t33)) % 16.11/16.37 (step @p80 :rule refl :args (@t6)) % 16.11/16.37 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t57)) % 16.11/16.37 (step @p82 :rule refl :args (@t58)) % 16.11/16.37 (step @p83 :rule cong :premises (@p82 @p81) :args (@t59)) % 16.11/16.37 (step @p84 :rule cong :premises (@p83) :args (@t60)) % 16.11/16.37 (step @p85 :rule refl :args (@t12)) % 16.11/16.37 (step @p86 :rule cong :premises (@p85 @p84) :args (@t61)) % 16.11/16.37 (step @p87 :rule cong :premises (@p86) :args (@t62)) % 16.11/16.37 (step @p88 :rule trans :premises (@p87 @p74)) % 16.11/16.37 (step @p89 :rule eq_resolve :premises (@p13 @p88)) % 16.11/16.37 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t89 tptp.xR @t117))) % 16.11/16.37 (step @p91 :rule aci_norm :args ((= (or @t123 @t122) (or @t85 @t101 @t121 @t120 @t119 @t118 @t36)))) % 16.11/16.37 (step @p92 :rule aci_norm :args ((= (or (or @t119 @t118) @t36) @t122))) % 16.11/16.37 (step @p93 :rule refl :args (@t36)) % 16.11/16.37 (step @p94 :rule bool-and-de-morgan :args (@t33 @t37 true)) % 16.11/16.37 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t38) @t36))) % 16.11/16.37 (step @p96 :rule trans :premises (@p95 @p92)) % 16.11/16.37 (step @p97 :rule bool-impl-elim :args (@t38 @t36)) % 16.11/16.37 (step @p98 :rule trans :premises (@p97 @p96)) % 16.11/16.37 (step @p99 :rule aci_norm :args ((= (or @t85 (or @t101 (or @t121 @t120))) @t123))) % 16.11/16.37 (step @p100 :rule bool-and-de-morgan :args (@t6 @t23 true)) % 16.11/16.37 (step @p101 :rule nary_cong :premises (@p59 @p100) :args ((or @t101 (not (and @t6 @t23))))) % 16.11/16.37 (step @p102 :rule bool-and-de-morgan :args (@t11 @t6 (and @t23))) % 16.11/16.37 (step @p103 :rule trans :premises (@p102 @p101)) % 16.11/16.37 (step @p104 :rule nary_cong :premises (@p20 @p103) :args ((or @t85 (not (and @t11 @t6 @t23))))) % 16.11/16.37 (step @p105 :rule bool-and-de-morgan :args (@t2 @t11 (and @t6 @t23))) % 16.11/16.37 (step @p106 :rule trans :premises (@p105 @p104)) % 16.11/16.37 (step @p107 :rule trans :premises (@p106 @p99)) % 16.11/16.37 (step @p108 :rule nary_cong :premises (@p107 @p98) :args ((or (not @t31) @t39))) % 16.11/16.37 (step @p109 :rule trans :premises (@p108 @p91)) % 16.11/16.37 (step @p110 :rule bool-impl-elim :args (@t31 @t39)) % 16.11/16.37 (step @p111 :rule trans :premises (@p110 @p109)) % 16.11/16.37 (step @p112 :rule cong :premises (@p111) :args (@t40)) % 16.11/16.37 (step @p113 :rule eq_resolve :premises (@p9 @p112)) % 16.11/16.37 (step @p114 :rule instantiate :premises (@p113) :args ((@list @t89 tptp.xR @t115 @t117))) % 16.11/16.37 (step @p115 :rule instantiate :premises (@p89) :args ((@list @t115 tptp.xR @t117))) % 16.11/16.37 (step @p116 :rule aci_norm :args ((= @t128 (or @t85 @t101 @t126 @t125)))) % 16.11/16.37 (step @p117 :rule cong :premises (@p116) :args (@t129)) % 16.11/16.37 (step @p118 :rule quant-merge-prenex :args ((= (forall @t14 @t131) @t129))) % 16.11/16.37 (step @p119 :rule alpha_equiv :args (@t132 (@list @t124) @t106)) % 16.11/16.37 (step @p120 :rule nary_cong :premises (@p20 @p59 @p119) :args (@t133)) % 16.11/16.37 (step @p121 :rule quant-miniscope-or :args ((= @t131 @t133))) % 16.11/16.37 (step @p122 :rule trans :premises (@p121 @p120)) % 16.11/16.37 (step @p123 :rule symm :premises (@p122)) % 16.11/16.37 (step @p124 :rule cong :premises (@p123) :args ((forall @t14 @t135))) % 16.11/16.37 (step @p125 :rule trans :premises (@p124 @p118)) % 16.11/16.37 (step @p126 :rule trans :premises (@p125 @p117)) % 16.11/16.37 (step @p127 :rule aci_norm :args ((= (or @t111 @t134) @t135))) % 16.11/16.37 (step @p128 :rule refl :args (@t134)) % 16.11/16.37 (step @p129 :rule nary_cong :premises (@p68 @p128) :args ((or @t112 @t134))) % 16.11/16.37 (step @p130 :rule trans :premises (@p129 @p127)) % 16.11/16.37 (step @p131 :rule bool-impl-elim :args (@t12 @t134)) % 16.11/16.37 (step @p132 :rule trans :premises (@p131 @p130)) % 16.11/16.37 (step @p133 :rule cong :premises (@p132) :args ((forall @t14 (=> @t12 @t134)))) % 16.11/16.37 (step @p134 :rule trans :premises (@p133 @p126)) % 16.11/16.37 (step @p135 :rule bool-impl-elim :args (@t8 @t6)) % 16.11/16.37 (step @p136 :rule cong :premises (@p135) :args (@t10)) % 16.11/16.37 (step @p137 :rule cong :premises (@p85 @p136) :args (@t13)) % 16.11/16.37 (step @p138 :rule cong :premises (@p137) :args (@t15)) % 16.11/16.37 (step @p139 :rule trans :premises (@p138 @p134)) % 16.11/16.37 (step @p140 :rule eq_resolve :premises (@p3 @p139)) % 16.11/16.37 (step @p141 :rule instantiate :premises (@p140) :args (@t136)) % 16.11/16.37 (step @p142 :rule instantiate :premises (@p89) :args (@t137)) % 16.11/16.37 (step @p143 :rule cnf_or_pos :args (@t143)) % 16.11/16.37 (step @p144 :rule reordering :premises (@p143) :args ((or @t142 @t95 @t141 (not @t143)))) % 16.11/16.37 (step @p145 :rule chain_m_resolution :premises (@p144 @p17 @p56 @p142) :args (@t141 @t144 (@list @t64 @t90 @t143))) % 16.11/16.37 (step @p146 :rule bool-double-not-elim :args (@t91)) % 16.11/16.37 (step @p147 :rule nary_cong :premises (@p51 @p146) :args ((or @t96 (not @t92)))) % 16.11/16.37 (step @p148 :rule cnf_or_neg :args (@t96 2)) % 16.11/16.37 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 16.11/16.37 (step @p150 :rule reordering :premises (@p149) :args ((or @t91 @t96))) % 16.11/16.37 (step @p151 :rule chain_m_resolution :premises (@p150 @p49) :args (@t91 @t97 @t98)) % 16.11/16.37 (step @p152 :rule instantiate :premises (@p151) :args ((@list @t89))) % 16.11/16.37 (step @p153 :rule cnf_equiv_pos2 :args (@t141)) % 16.11/16.37 (step @p154 :rule reordering :premises (@p153) :args ((or @t140 @t145 (not @t141)))) % 16.11/16.37 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p145) :args (@t145 @t146 (@list @t140 @t141))) % 16.11/16.37 (step @p156 :rule aci_norm :args ((= (or @t148 @t34) @t147))) % 16.11/16.37 (step @p157 :rule refl :args (@t34)) % 16.11/16.37 (step @p158 :rule aci_norm :args ((= (or @t85 (or @t101 @t121)) @t148))) % 16.11/16.37 (step @p159 :rule bool-and-de-morgan :args (@t11 @t6 true)) % 16.11/16.37 (step @p160 :rule nary_cong :premises (@p20 @p159) :args ((or @t85 (not (and @t11 @t6))))) % 16.11/16.37 (step @p161 :rule bool-and-de-morgan :args (@t2 @t11 (and @t6))) % 16.11/16.37 (step @p162 :rule trans :premises (@p161 @p160)) % 16.11/16.37 (step @p163 :rule trans :premises (@p162 @p158)) % 16.11/16.37 (step @p164 :rule nary_cong :premises (@p163 @p157) :args ((or @t149 @t34))) % 16.11/16.37 (step @p165 :rule trans :premises (@p164 @p156)) % 16.11/16.37 (step @p166 :rule bool-impl-elim :args (@t18 @t34)) % 16.11/16.37 (step @p167 :rule trans :premises (@p166 @p165)) % 16.11/16.37 (step @p168 :rule cong :premises (@p167) :args (@t35)) % 16.11/16.37 (step @p169 :rule eq_resolve :premises (@p8 @p168)) % 16.11/16.37 (step @p170 :rule bool-eq-true :args (@t138)) % 16.11/16.37 (step @p171 :rule absorb :args ((= (or true @t150) true))) % 16.11/16.37 (step @p172 :rule refl :args (@t150)) % 16.11/16.37 (step @p173 :rule eq-refl :args (@t89)) % 16.11/16.37 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t151)) % 16.11/16.37 (step @p175 :rule trans :premises (@p174 @p171)) % 16.11/16.37 (step @p176 :rule refl :args (@t138)) % 16.11/16.37 (step @p177 :rule cong :premises (@p176 @p175) :args (@t152)) % 16.11/16.37 (step @p178 :rule trans :premises (@p177 @p170)) % 16.11/16.37 (step @p179 :rule refl :args (@t95)) % 16.11/16.37 (step @p180 :rule refl :args (@t142)) % 16.11/16.37 (step @p181 :rule nary_cong :premises (@p179 @p180 @p179 @p178) :args (@t153)) % 16.11/16.37 (step @p182 :rule refl :args (@t154)) % 16.11/16.37 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t154 @t153))) % 16.11/16.37 (assume-push @p343 @t154) % 16.11/16.37 (step @p185 :rule instantiate :premises (@p169) :args (@t137)) % 16.11/16.37 (step-pop @p344 :rule scope :premises (@p185)) % 16.11/16.37 (step @p186 :rule process_scope :premises (@p344) :args (@t153)) % 16.11/16.37 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 16.11/16.37 (step @p189 :rule implies_elim :premises (@p188)) % 16.11/16.37 (step @p190 :rule chain_m_resolution :premises (@p189 @p169) :args (@t155 @t156 (@list @t154))) % 16.11/16.37 (step @p191 :rule cnf_or_pos :args (@t155)) % 16.11/16.37 (step @p192 :rule factoring :premises (@p191)) % 16.11/16.37 (step @p193 :rule reordering :premises (@p192) :args ((or @t142 @t95 @t138 (not @t155)))) % 16.11/16.37 (step @p194 :rule chain_m_resolution :premises (@p193 @p17 @p56 @p190) :args (@t138 @t144 (@list @t64 @t90 @t155))) % 16.11/16.37 (step @p195 :rule cnf_and_neg :args (@t139)) % 16.11/16.37 (step @p196 :rule reordering :premises (@p195) :args ((or @t95 (not @t138) @t139 @t157))) % 16.11/16.37 (step @p197 :rule chain_m_resolution :premises (@p196 @p56 @p194 @p155) :args (@t157 (@list false false true) (@list @t90 @t138 @t139))) % 16.11/16.37 (step @p198 :rule refl :args (@t158)) % 16.11/16.37 (step @p199 :rule bool-double-not-elim :args (@t114)) % 16.11/16.37 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or (not @t157) @t158))) % 16.11/16.37 (step @p201 :rule bool-double-not-elim :args (@t158)) % 16.11/16.37 (step @p202 :rule refl :args (@t157)) % 16.11/16.37 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t157 @t160))) % 16.11/16.37 (assume-push @p345 @t157) % 16.11/16.37 (step @p205 :rule skolemize :premises (@p197)) % 16.11/16.37 (step-pop @p346 :rule scope :premises (@p205)) % 16.11/16.37 (step @p206 :rule process_scope :premises (@p346) :args (@t160)) % 16.11/16.37 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 16.11/16.37 (step @p209 :rule implies_elim :premises (@p208)) % 16.11/16.37 (step @p210 :rule eq_resolve :premises (@p209 @p200)) % 16.11/16.37 (step @p211 :rule chain_m_resolution :premises (@p210 @p197) :args (@t158 @t97 (@list @t114))) % 16.11/16.37 (step @p212 :rule cnf_or_pos :args (@t162)) % 16.11/16.37 (step @p213 :rule reordering :premises (@p212) :args ((or @t142 @t95 @t159 @t161 (not @t162)))) % 16.11/16.37 (step @p214 :rule chain_m_resolution :premises (@p213 @p17 @p56 @p211 @p141) :args (@t161 @t163 (@list @t64 @t90 @t158 @t162))) % 16.11/16.37 (step @p215 :rule cnf_or_pos :args (@t171)) % 16.11/16.37 (step @p216 :rule reordering :premises (@p215) :args ((or @t142 @t170 @t169 (not @t171)))) % 16.11/16.37 (step @p217 :rule chain_m_resolution :premises (@p216 @p17 @p214 @p115) :args (@t169 @t144 (@list @t64 @t161 @t171))) % 16.11/16.37 (step @p218 :rule bool-double-not-elim :args (@t93)) % 16.11/16.37 (step @p219 :rule nary_cong :premises (@p51 @p218) :args ((or @t96 (not @t94)))) % 16.11/16.37 (step @p220 :rule cnf_or_neg :args (@t96 1)) % 16.11/16.37 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 16.11/16.37 (step @p222 :rule reordering :premises (@p221) :args ((or @t93 @t96))) % 16.11/16.37 (step @p223 :rule chain_m_resolution :premises (@p222 @p49) :args (@t93 @t97 @t98)) % 16.11/16.37 (step @p224 :rule instantiate :premises (@p223) :args ((@list @t115))) % 16.11/16.37 (step @p225 :rule bool-impl-elim :args (@t4 @t174)) % 16.11/16.37 (step @p226 :rule cong :premises (@p225) :args ((forall @t3 (=> @t4 @t174)))) % 16.11/16.37 (step @p227 :rule aci_norm :args ((= (or (or @t81 @t121) (or @t172 @t44)) @t173))) % 16.11/16.37 (step @p228 :rule bool-impl-elim :args (@t45 @t44)) % 16.11/16.37 (step @p229 :rule bool-and-de-morgan :args (@t16 @t6 true)) % 16.11/16.37 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or (not @t47) @t46))) % 16.11/16.37 (step @p231 :rule trans :premises (@p230 @p227)) % 16.11/16.37 (step @p232 :rule bool-impl-elim :args (@t47 @t46)) % 16.11/16.37 (step @p233 :rule trans :premises (@p232 @p231)) % 16.11/16.37 (step @p234 :rule cong :premises (@p233) :args (@t49)) % 16.11/16.37 (step @p235 :rule refl :args (@t50)) % 16.11/16.37 (step @p236 :rule cong :premises (@p235 @p234) :args (@t51)) % 16.11/16.37 (step @p237 :rule refl :args (@t4)) % 16.11/16.37 (step @p238 :rule cong :premises (@p237 @p236) :args (@t52)) % 16.11/16.37 (step @p239 :rule cong :premises (@p238) :args (@t53)) % 16.11/16.37 (step @p240 :rule trans :premises (@p239 @p226)) % 16.11/16.37 (step @p241 :rule eq_resolve :premises (@p12 @p240)) % 16.11/16.37 (step @p242 :rule instantiate :premises (@p241) :args ((@list tptp.xR))) % 16.11/16.37 (step @p243 :rule cnf_or_pos :args (@t177)) % 16.11/16.37 (step @p244 :rule reordering :premises (@p243) :args ((or @t142 @t176 (not @t177)))) % 16.11/16.37 (step @p245 :rule chain_m_resolution :premises (@p244 @p17 @p242) :args (@t176 @t178 (@list @t64 @t177))) % 16.11/16.37 (step @p246 :rule and_elim :premises (@p14) :args (1)) % 16.11/16.37 (step @p247 :rule cnf_equiv_pos1 :args (@t176)) % 16.11/16.37 (step @p248 :rule reordering :premises (@p247) :args ((or (not @t63) @t175 (not @t176)))) % 16.11/16.37 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p245) :args (@t175 @t178 (@list @t63 @t176))) % 16.11/16.37 (step @p250 :rule instantiate :premises (@p249) :args ((@list @t89 @t115))) % 16.11/16.37 (step @p251 :rule aci_norm :args ((= (or @t148 @t182) (or @t85 @t101 @t121 @t182)))) % 16.11/16.37 (step @p252 :rule refl :args (@t182)) % 16.11/16.37 (step @p253 :rule nary_cong :premises (@p163 @p252) :args ((or @t149 @t182))) % 16.11/16.37 (step @p254 :rule trans :premises (@p253 @p251)) % 16.11/16.37 (step @p255 :rule bool-impl-elim :args (@t18 @t182)) % 16.11/16.37 (step @p256 :rule trans :premises (@p255 @p254)) % 16.11/16.37 (step @p257 :rule cong :premises (@p256) :args ((forall @t19 (=> @t18 @t182)))) % 16.11/16.37 (step @p258 :rule aci_norm :args ((= (or @t120 (or @t180 @t179)) @t181))) % 16.11/16.37 (step @p259 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 16.11/16.37 (step @p260 :rule refl :args (@t120)) % 16.11/16.37 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t120 (not (and @t22 @t21))))) % 16.11/16.37 (step @p262 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21))) % 16.11/16.37 (step @p263 :rule trans :premises (@p262 @p261)) % 16.11/16.37 (step @p264 :rule trans :premises (@p263 @p258)) % 16.11/16.37 (step @p265 :rule cong :premises (@p264) :args (@t183)) % 16.11/16.37 (step @p266 :rule cong :premises (@p265) :args (@t184)) % 16.11/16.37 (step @p267 :rule exists-elim :args ((= @t26 @t184))) % 16.11/16.37 (step @p268 :rule trans :premises (@p267 @p266)) % 16.11/16.37 (step @p269 :rule refl :args (@t8)) % 16.11/16.37 (step @p270 :rule nary_cong :premises (@p269 @p268) :args (@t27)) % 16.11/16.37 (step @p271 :rule refl :args (@t17)) % 16.11/16.37 (step @p272 :rule cong :premises (@p271 @p270) :args (@t28)) % 16.11/16.37 (step @p273 :rule refl :args (@t18)) % 16.11/16.37 (step @p274 :rule cong :premises (@p273 @p272) :args (@t29)) % 16.11/16.37 (step @p275 :rule cong :premises (@p274) :args (@t30)) % 16.11/16.37 (step @p276 :rule trans :premises (@p275 @p257)) % 16.11/16.37 (step @p277 :rule eq_resolve :premises (@p6 @p276)) % 16.11/16.37 (step @p278 :rule instantiate :premises (@p277) :args (@t136)) % 16.11/16.37 (step @p279 :rule cnf_or_pos :args (@t188)) % 16.11/16.37 (step @p280 :rule reordering :premises (@p279) :args ((or @t142 @t95 @t170 @t187 (not @t188)))) % 16.11/16.37 (step @p281 :rule chain_m_resolution :premises (@p280 @p17 @p56 @p214 @p278) :args (@t187 @t163 (@list @t64 @t90 @t161 @t188))) % 16.11/16.37 (step @p282 :rule cnf_or_neg :args (@t185 0)) % 16.11/16.37 (step @p283 :rule reordering :premises (@p282) :args ((or @t159 @t185))) % 16.11/16.37 (step @p284 :rule chain_m_resolution :premises (@p283 @p211) :args (@t185 @t156 (@list @t158))) % 16.11/16.37 (step @p285 :rule cnf_equiv_pos2 :args (@t187)) % 16.11/16.37 (step @p286 :rule reordering :premises (@p285) :args ((or @t186 (not @t185) (not @t187)))) % 16.11/16.37 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p281) :args (@t186 @t178 (@list @t185 @t187))) % 16.11/16.37 (step @p288 :rule cnf_or_pos :args (@t191)) % 16.11/16.37 (step @p289 :rule reordering :premises (@p288) :args ((or @t95 @t170 @t190 @t189 (not @t191)))) % 16.11/16.37 (step @p290 :rule chain_m_resolution :premises (@p289 @p56 @p214 @p287 @p250) :args (@t189 @t163 (@list @t90 @t161 @t186 @t191))) % 16.11/16.37 (step @p291 :rule cnf_or_pos :args (@t194)) % 16.11/16.37 (step @p292 :rule reordering :premises (@p291) :args ((or @t170 @t193 @t192 (not @t194)))) % 16.11/16.37 (step @p293 :rule chain_m_resolution :premises (@p292 @p214 @p290 @p224) :args (@t192 @t144 (@list @t161 @t189 @t194))) % 16.11/16.37 (step @p294 :rule refl :args (@t168)) % 16.11/16.37 (step @p295 :rule bool-double-not-elim :args (@t116)) % 16.11/16.37 (step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or (not @t192) @t168))) % 16.11/16.37 (step @p297 :rule bool-double-not-elim :args (@t168)) % 16.11/16.37 (step @p298 :rule refl :args (@t192)) % 16.11/16.37 (step @p299 :rule cong :premises (@p298 @p297) :args ((=> @t192 @t196))) % 16.11/16.37 (assume-push @p347 @t192) % 16.11/16.37 (step @p301 :rule skolemize :premises (@p293)) % 16.11/16.37 (step-pop @p348 :rule scope :premises (@p301)) % 16.11/16.37 (step @p302 :rule process_scope :premises (@p348) :args (@t196)) % 16.11/16.37 (step @p304 :rule eq_resolve :premises (@p302 @p299)) % 16.11/16.37 (step @p305 :rule implies_elim :premises (@p304)) % 16.11/16.37 (step @p306 :rule eq_resolve :premises (@p305 @p296)) % 16.11/16.37 (step @p307 :rule chain_m_resolution :premises (@p306 @p293) :args (@t168 @t97 (@list @t116))) % 16.11/16.37 (step @p308 :rule cnf_equiv_pos1 :args (@t169)) % 16.11/16.37 (step @p309 :rule reordering :premises (@p308) :args ((or @t195 @t167 (not @t169)))) % 16.11/16.37 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p217) :args (@t167 @t178 (@list @t168 @t169))) % 16.11/16.37 (step @p311 :rule cnf_and_pos :args (@t167 1)) % 16.11/16.37 (step @p312 :rule reordering :premises (@p311) :args ((or @t165 @t197))) % 16.11/16.37 (step @p313 :rule chain_m_resolution :premises (@p312 @p310) :args (@t165 @t156 @t198)) % 16.11/16.37 (step @p314 :rule cnf_and_pos :args (@t167 0)) % 16.11/16.37 (step @p315 :rule reordering :premises (@p314) :args ((or @t166 @t197))) % 16.11/16.37 (step @p316 :rule chain_m_resolution :premises (@p315 @p310) :args (@t166 @t156 @t198)) % 16.11/16.37 (step @p317 :rule instantiate :premises (@p169) :args (@t136)) % 16.11/16.37 (step @p318 :rule cnf_or_pos :args (@t202)) % 16.11/16.37 (step @p319 :rule reordering :premises (@p318) :args ((or @t142 @t95 @t170 @t201 (not @t202)))) % 16.11/16.37 (step @p320 :rule chain_m_resolution :premises (@p319 @p17 @p56 @p214 @p317) :args (@t201 @t163 (@list @t64 @t90 @t161 @t202))) % 16.11/16.37 (step @p321 :rule cnf_or_neg :args (@t199 1)) % 16.11/16.37 (step @p322 :rule reordering :premises (@p321) :args ((or @t190 @t199))) % 16.11/16.37 (step @p323 :rule chain_m_resolution :premises (@p322 @p287) :args (@t199 @t156 (@list @t186))) % 16.11/16.37 (step @p324 :rule cnf_equiv_pos2 :args (@t201)) % 16.11/16.37 (step @p325 :rule reordering :premises (@p324) :args ((or @t200 (not @t199) (not @t201)))) % 16.11/16.37 (step @p326 :rule chain_m_resolution :premises (@p325 @p323 @p320) :args (@t200 @t178 (@list @t199 @t201))) % 16.11/16.37 (step @p327 :rule cnf_or_pos :args (@t207)) % 16.11/16.37 (step @p328 :rule reordering :premises (@p327) :args ((or @t142 @t95 @t170 @t205 @t206 @t204 @t203 (not @t207)))) % 16.11/16.37 (step @p329 :rule chain_m_resolution :premises (@p328 @p17 @p56 @p214 @p326 @p316 @p313 @p114) :args (@t203 (@list false false false false false false false) (@list @t64 @t90 @t161 @t200 @t166 @t165 @t207))) % 16.11/16.37 (step @p330 :rule cnf_and_pos :args (@t167 2)) % 16.11/16.37 (step @p331 :rule reordering :premises (@p330) :args ((or @t164 @t197))) % 16.11/16.37 (step @p332 :rule chain_m_resolution :premises (@p331 @p310) :args (@t164 @t156 @t198)) % 16.11/16.37 (step @p333 :rule cnf_and_neg :args (@t208)) % 16.11/16.37 (step @p334 :rule reordering :premises (@p333) :args ((or @t206 (not @t164) (not @t203) @t208))) % 16.11/16.37 (step @p335 :rule chain_m_resolution :premises (@p334 @p316 @p332 @p329) :args (@t208 @t144 (@list @t166 @t164 @t203))) % 16.11/16.37 (step @p336 :rule instantiate :premises (@p151) :args ((@list @t117))) % 16.11/16.37 (step @p337 :rule cnf_equiv_pos2 :args (@t210)) % 16.11/16.37 (step @p338 :rule reordering :premises (@p337) :args ((or @t209 (not @t208) @t211))) % 16.11/16.37 (step @p339 :rule chain_m_resolution :premises (@p338 @p336 @p335) :args (@t211 @t146 (@list @t209 @t208))) % 16.11/16.37 (step @p340 :rule cnf_or_pos :args (@t212)) % 16.11/16.37 (step @p341 :rule reordering :premises (@p340) :args ((or @t142 @t95 @t210 (not @t212)))) % 16.11/16.37 (step @p342 false :rule chain_m_resolution :premises (@p341 @p339 @p90 @p56 @p17) :args (false (@list true false false false) (@list @t210 @t212 @t90 @t64))) % 16.11/16.37 ) % 16.11/16.37 % SZS output end Proof % 16.11/16.37 % cvc5 exiting %------------------------------------------------------------------------------