%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM019+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 : n028.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 08:10:26 AM UTC 2026 % Result : Theorem 29.96s 30.14s % Output : Proof 29.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM019+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 : Mon Jun 1 20:28:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 29.96/30.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 29.96/30.14 --- Run --no-e-matching --full-saturate-quant at 6... % 29.96/30.14 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 29.96/30.14 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.96/30.14 % SZS status Theorem % 29.96/30.14 % SZS output start Proof % 29.96/30.14 ( % 29.96/30.14 (declare-sort $$unsorted 0) % 29.96/30.14 (declare-const tptp.xv $$unsorted) % 29.96/30.14 (declare-const tptp.xu $$unsorted) % 29.96/30.14 (declare-const tptp.xa $$unsorted) % 29.96/30.14 (declare-const tptp.xb $$unsorted) % 29.96/30.14 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.xw $$unsorted) % 29.96/30.14 (declare-const tptp.xc $$unsorted) % 29.96/30.14 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.xd $$unsorted) % 29.96/30.14 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.xR $$unsorted) % 29.96/30.14 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 29.96/30.14 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.96/30.14 (define @t1 () (@var "W0" $$unsorted)) % 29.96/30.14 (define @t2 () (tptp.aElement0 @t1)) % 29.96/30.14 (define @t3 () (@list @t1)) % 29.96/30.14 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 29.96/30.14 (define @t5 () (@var "W2" $$unsorted)) % 29.96/30.14 (define @t6 () (tptp.aElement0 @t5)) % 29.96/30.14 (define @t7 () (@var "W1" $$unsorted)) % 29.96/30.14 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 29.96/30.14 (define @t9 () (@list @t5)) % 29.96/30.14 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 29.96/30.14 (define @t11 () (and @t2 @t10)) % 29.96/30.14 (define @t12 () (@list @t1 @t7)) % 29.96/30.14 (define @t13 () (tptp.aElement0 @t7)) % 29.96/30.14 (define @t14 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 29.96/30.14 (define @t15 () (and @t2 @t10 @t6)) % 29.96/30.14 (define @t16 () (@list @t1 @t7 @t5)) % 29.96/30.14 (define @t17 () (@var "W3" $$unsorted)) % 29.96/30.14 (define @t18 () (tptp.sdtmndtplgtdt0 @t17 @t7 @t5)) % 29.96/30.14 (define @t19 () (tptp.aReductOfIn0 @t17 @t1 @t7)) % 29.96/30.14 (define @t20 () (tptp.aElement0 @t17)) % 29.96/30.14 (define @t21 () (and @t20 @t19 @t18)) % 29.96/30.14 (define @t22 () (@list @t17)) % 29.96/30.14 (define @t23 () (exists @t22 @t21)) % 29.96/30.14 (define @t24 () (or @t8 @t23)) % 29.96/30.14 (define @t25 () (= @t14 @t24)) % 29.96/30.14 (define @t26 () (=> @t15 @t25)) % 29.96/30.14 (define @t27 () (forall @t16 @t26)) % 29.96/30.14 (define @t28 () (and @t2 @t10 @t6 @t20)) % 29.96/30.14 (define @t29 () (@list @t1 @t7 @t5 @t17)) % 29.96/30.14 (define @t30 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 29.96/30.14 (define @t31 () (= @t30 (or (= @t1 @t5) @t14))) % 29.96/30.14 (define @t32 () (forall @t16 (=> @t15 @t31))) % 29.96/30.14 (define @t33 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t17)) % 29.96/30.14 (define @t34 () (tptp.sdtmndtasgtdt0 @t5 @t7 @t17)) % 29.96/30.14 (define @t35 () (and @t30 @t34)) % 29.96/30.14 (define @t36 () (=> @t35 @t33)) % 29.96/30.14 (define @t37 () (forall @t29 (=> @t28 @t36))) % 29.96/30.14 (define @t38 () (@var "W4" $$unsorted)) % 29.96/30.14 (define @t39 () (exists (@list @t38) (and (tptp.aElement0 @t38) (tptp.sdtmndtasgtdt0 @t5 @t1 @t38) (tptp.sdtmndtasgtdt0 @t17 @t1 @t38)))) % 29.96/30.14 (define @t40 () (@list @t7 @t5 @t17)) % 29.96/30.14 (define @t41 () (tptp.iLess0 @t5 @t7)) % 29.96/30.14 (define @t42 () (tptp.sdtmndtplgtdt0 @t7 @t1 @t5)) % 29.96/30.14 (define @t43 () (=> @t42 @t41)) % 29.96/30.14 (define @t44 () (and @t13 @t6)) % 29.96/30.14 (define @t45 () (@list @t7 @t5)) % 29.96/30.14 (define @t46 () (forall @t45 (=> @t44 @t43))) % 29.96/30.14 (define @t47 () (tptp.isTerminating0 @t1)) % 29.96/30.14 (define @t48 () (= @t47 @t46)) % 29.96/30.14 (define @t49 () (=> @t4 @t48)) % 29.96/30.14 (define @t50 () (forall @t3 @t49)) % 29.96/30.14 (define @t51 () (tptp.aReductOfIn0 @t17 @t5 @t7)) % 29.96/30.14 (define @t52 () (exists @t22 @t51)) % 29.96/30.14 (define @t53 () (not @t52)) % 29.96/30.14 (define @t54 () (and @t6 @t30 @t53)) % 29.96/30.14 (define @t55 () (tptp.aNormalFormOfIn0 @t5 @t1 @t7)) % 29.96/30.14 (define @t56 () (= @t55 @t54)) % 29.96/30.14 (define @t57 () (forall @t9 @t56)) % 29.96/30.14 (define @t58 () (=> @t11 @t57)) % 29.96/30.14 (define @t59 () (forall @t12 @t58)) % 29.96/30.14 (define @t60 () (tptp.aRewritingSystem0 tptp.xR)) % 29.96/30.14 (define @t61 () (tptp.isTerminating0 tptp.xR)) % 29.96/30.14 (define @t62 () (tptp.aElement0 tptp.xb)) % 29.96/30.14 (define @t63 () (tptp.aElement0 tptp.xa)) % 29.96/30.14 (define @t64 () (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t17)) % 29.96/30.14 (define @t65 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t17)) % 29.96/30.14 (define @t66 () (and @t20 @t65 @t64)) % 29.96/30.14 (define @t67 () (exists @t22 @t66)) % 29.96/30.14 (define @t68 () (tptp.iLess0 @t1 tptp.xa)) % 29.96/30.14 (define @t69 () (=> @t68 @t67)) % 29.96/30.14 (define @t70 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5)) % 29.96/30.14 (define @t71 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7)) % 29.96/30.14 (define @t72 () (and @t2 @t13 @t6 @t71 @t70)) % 29.96/30.14 (define @t73 () (=> @t72 @t69)) % 29.96/30.14 (define @t74 () (forall @t16 @t73)) % 29.96/30.14 (define @t75 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb)) % 29.96/30.14 (define @t76 () (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR)) % 29.96/30.14 (define @t77 () (tptp.aElement0 tptp.xu)) % 29.96/30.14 (define @t78 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw)) % 29.96/30.14 (define @t79 () (tptp.aElement0 tptp.xw)) % 29.96/30.14 (define @t80 () (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR)) % 29.96/30.14 (define @t81 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd)) % 29.96/30.14 (define @t82 () (not @t81)) % 29.96/30.14 (define @t83 () (not @t18)) % 29.96/30.14 (define @t84 () (not @t19)) % 29.96/30.14 (define @t85 () (not @t20)) % 29.96/30.14 (define @t86 () (or @t85 @t84 @t83)) % 29.96/30.14 (define @t87 () (= @t14 (or @t8 (not (forall @t22 @t86))))) % 29.96/30.14 (define @t88 () (not @t6)) % 29.96/30.14 (define @t89 () (not @t10)) % 29.96/30.14 (define @t90 () (not @t2)) % 29.96/30.14 (define @t91 () (or @t90 @t89 @t88)) % 29.96/30.14 (define @t92 () (not @t15)) % 29.96/30.14 (define @t93 () (forall @t22 (not @t21))) % 29.96/30.14 (define @t94 () (not @t93)) % 29.96/30.14 (define @t95 () (or @t76 (not (forall @t22 (or @t85 (not (tptp.aReductOfIn0 @t17 tptp.xa tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t17 tptp.xR tptp.xu))))))) % 29.96/30.14 (define @t96 () (@list false)) % 29.96/30.14 (define @t97 () (not @t42)) % 29.96/30.14 (define @t98 () (not @t13)) % 29.96/30.14 (define @t99 () (or @t98 @t88 @t97 @t41)) % 29.96/30.14 (define @t100 () (= @t47 (forall @t45 @t99))) % 29.96/30.14 (define @t101 () (forall @t45 (or @t98 @t88 (not (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t5)) @t41))) % 29.96/30.14 (define @t102 () (= @t61 @t101)) % 29.96/30.14 (define @t103 () (not @t60)) % 29.96/30.14 (define @t104 () (or @t103 @t102)) % 29.96/30.14 (define @t105 () (@list false false)) % 29.96/30.14 (define @t106 () (not @t64)) % 29.96/30.14 (define @t107 () (not @t65)) % 29.96/30.14 (define @t108 () (or @t85 @t107 @t106)) % 29.96/30.14 (define @t109 () (not (forall @t22 @t108))) % 29.96/30.14 (define @t110 () (not @t68)) % 29.96/30.14 (define @t111 () (not @t70)) % 29.96/30.14 (define @t112 () (not @t71)) % 29.96/30.14 (define @t113 () (or @t90 @t98 @t88 @t112 @t111)) % 29.96/30.14 (define @t114 () (=> @t68 @t109)) % 29.96/30.14 (define @t115 () (forall @t22 (not @t66))) % 29.96/30.14 (define @t116 () (not @t115)) % 29.96/30.14 (define @t117 () (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t17))) % 29.96/30.14 (define @t118 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t17))) % 29.96/30.14 (define @t119 () (or @t85 @t118 @t117)) % 29.96/30.14 (define @t120 () (forall @t22 @t119)) % 29.96/30.14 (define @t121 () (@quantifiers_skolemize @t120 0)) % 29.96/30.14 (define @t122 () (tptp.aElement0 @t121)) % 29.96/30.14 (define @t123 () (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t121)) % 29.96/30.14 (define @t124 () (not @t123)) % 29.96/30.14 (define @t125 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t121)) % 29.96/30.14 (define @t126 () (not @t125)) % 29.96/30.14 (define @t127 () (not @t122)) % 29.96/30.14 (define @t128 () (or @t127 @t126 @t124)) % 29.96/30.14 (define @t129 () (@var "BOUND_VARIABLE_7716" $$unsorted)) % 29.96/30.14 (define @t130 () (= (tptp.aNormalFormOfIn0 @t129 @t1 @t7) (and (tptp.aElement0 @t129) (tptp.sdtmndtasgtdt0 @t1 @t7 @t129) (forall @t22 (not (tptp.aReductOfIn0 @t17 @t129 @t7)))))) % 29.96/30.14 (define @t131 () (or @t90 @t89 @t130)) % 29.96/30.14 (define @t132 () (@list @t129)) % 29.96/30.14 (define @t133 () (forall @t132 @t131)) % 29.96/30.14 (define @t134 () (forall @t132 @t130)) % 29.96/30.14 (define @t135 () (or @t90 @t89 @t134)) % 29.96/30.14 (define @t136 () (forall @t22 (not @t51))) % 29.96/30.14 (define @t137 () (forall @t9 (= @t55 (and @t6 @t30 @t136)))) % 29.96/30.14 (define @t138 () (or @t90 @t89 @t137)) % 29.96/30.14 (define @t139 () (not (tptp.aReductOfIn0 @t17 tptp.xd tptp.xR))) % 29.96/30.14 (define @t140 () (forall @t22 @t139)) % 29.96/30.14 (define @t141 () (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd)) % 29.96/30.14 (define @t142 () (tptp.aElement0 tptp.xd)) % 29.96/30.14 (define @t143 () (and @t142 @t141 @t140)) % 29.96/30.14 (define @t144 () (= @t80 @t143)) % 29.96/30.14 (define @t145 () (not @t79)) % 29.96/30.14 (define @t146 () (or @t145 @t103 @t144)) % 29.96/30.14 (define @t147 () (not @t143)) % 29.96/30.14 (define @t148 () (@list @t143)) % 29.96/30.14 (define @t149 () (@list tptp.xd tptp.xR @t121)) % 29.96/30.14 (define @t150 () (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t121)) % 29.96/30.14 (define @t151 () (= tptp.xd @t121)) % 29.96/30.14 (define @t152 () (or @t151 @t150)) % 29.96/30.14 (define @t153 () (= @t123 @t152)) % 29.96/30.14 (define @t154 () (not @t142)) % 29.96/30.14 (define @t155 () (or @t154 @t103 @t127 @t153)) % 29.96/30.14 (define @t156 () (forall @t22 (or @t85 @t139 (not (tptp.sdtmndtplgtdt0 @t17 tptp.xR @t121))))) % 29.96/30.14 (define @t157 () (not @t156)) % 29.96/30.14 (define @t158 () (tptp.aReductOfIn0 @t121 tptp.xd tptp.xR)) % 29.96/30.14 (define @t159 () (or @t158 @t157)) % 29.96/30.14 (define @t160 () (= @t150 @t159)) % 29.96/30.14 (define @t161 () (or @t154 @t103 @t127 @t160)) % 29.96/30.14 (define @t162 () (not @t151)) % 29.96/30.14 (define @t163 () (and @t82 @t151 @t125)) % 29.96/30.14 (define @t164 () (@quantifiers_skolemize @t156 0)) % 29.96/30.14 (define @t165 () (tptp.aReductOfIn0 @t164 tptp.xd tptp.xR)) % 29.96/30.14 (define @t166 () (not @t165)) % 29.96/30.14 (define @t167 () (or (not (tptp.aElement0 @t164)) @t166 (not (tptp.sdtmndtplgtdt0 @t164 tptp.xR @t121)))) % 29.96/30.14 (define @t168 () (not @t167)) % 29.96/30.14 (define @t169 () (not @t159)) % 29.96/30.14 (define @t170 () (@list true false)) % 29.96/30.14 (define @t171 () (not @t128)) % 29.96/30.14 (define @t172 () (not @t120)) % 29.96/30.14 (define @t173 () (or @t85 @t117 @t118)) % 29.96/30.14 (define @t174 () (forall @t22 @t173)) % 29.96/30.14 (define @t175 () (not @t34)) % 29.96/30.14 (define @t176 () (not @t30)) % 29.96/30.14 (define @t177 () (or @t176 @t175 @t33)) % 29.96/30.14 (define @t178 () (or @t90 @t89 @t88 @t85)) % 29.96/30.14 (define @t179 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xd)) % 29.96/30.14 (define @t180 () (not @t141)) % 29.96/30.14 (define @t181 () (not @t78)) % 29.96/30.14 (define @t182 () (not @t77)) % 29.96/30.14 (define @t183 () (or @t182 @t103 @t145 @t154 @t181 @t180 @t179)) % 29.96/30.14 (define @t184 () (@list false false false false false false false)) % 29.96/30.14 (define @t185 () (not @t174)) % 29.96/30.14 (define @t186 () (tptp.iLess0 tptp.xu tptp.xa)) % 29.96/30.14 (define @t187 () (not @t186)) % 29.96/30.14 (define @t188 () (not @t75)) % 29.96/30.14 (define @t189 () (not @t179)) % 29.96/30.14 (define @t190 () (not @t62)) % 29.96/30.14 (define @t191 () (or @t182 @t154 @t190 @t189 @t188 @t187 @t185)) % 29.96/30.14 (define @t192 () (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xu)) % 29.96/30.14 (define @t193 () (not @t192)) % 29.96/30.14 (define @t194 () (not @t63)) % 29.96/30.14 (define @t195 () (or @t194 @t182 @t193 @t186)) % 29.96/30.14 (define @t196 () (= @t192 @t95)) % 29.96/30.14 (define @t197 () (not @t196)) % 29.96/30.14 (define @t198 () (or @t194 @t103 @t182 @t196)) % 29.96/30.14 (assume @p1 (forall @t3 (=> @t2 true))) % 29.96/30.14 (assume @p2 (forall @t3 (=> @t4 true))) % 29.96/30.14 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 29.96/30.14 (assume @p4 (forall @t12 (=> (and @t2 @t13) (=> (tptp.iLess0 @t1 @t7) true)))) % 29.96/30.14 (assume @p5 (forall @t16 (=> @t15 (=> @t14 true)))) % 29.96/30.14 (assume @p6 @t27) % 29.96/30.14 (assume @p7 (forall @t29 (=> @t28 (=> (and @t14 (tptp.sdtmndtplgtdt0 @t5 @t7 @t17)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t17))))) % 29.96/30.14 (assume @p8 @t32) % 29.96/30.14 (assume @p9 @t37) % 29.96/30.14 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t40 (=> (and @t13 @t6 @t20 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t17)) @t39)))))) % 29.96/30.14 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t40 (=> (and @t13 @t6 @t20 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t17 @t7 @t1)) @t39)))))) % 29.96/30.14 (assume @p12 @t50) % 29.96/30.14 (assume @p13 @t59) % 29.96/30.14 (assume @p14 (forall @t3 (=> (and @t4 @t47) (forall (@list @t7) (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1))))))) % 29.96/30.14 (assume @p15 @t60) % 29.96/30.14 (assume @p16 (and (tptp.isLocallyConfluent0 tptp.xR) @t61)) % 29.96/30.14 (assume @p17 (and @t63 @t62 (tptp.aElement0 tptp.xc))) % 29.96/30.14 (assume @p18 @t74) % 29.96/30.14 (assume @p19 (and (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) % 29.96/30.14 (assume @p20 (and @t77 @t76 @t75)) % 29.96/30.14 (assume @p21 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc))) % 29.96/30.14 (assume @p22 (and @t79 @t78 (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw))) % 29.96/30.14 (assume @p23 @t80) % 29.96/30.14 (assume @p24 @t82) % 29.96/30.14 (assume @p25 true) % 29.96/30.14 (step @p26 :rule and_elim :premises (@p17) :args (0)) % 29.96/30.14 (step @p27 :rule and_elim :premises (@p20) :args (0)) % 29.96/30.14 (step @p28 :rule aci_norm :args ((= (or @t91 @t87) (or @t90 @t89 @t88 @t87)))) % 29.96/30.14 (step @p29 :rule refl :args (@t87)) % 29.96/30.14 (step @p30 :rule aci_norm :args ((= (or @t90 (or @t89 @t88)) @t91))) % 29.96/30.14 (step @p31 :rule bool-and-de-morgan :args (@t10 @t6 true)) % 29.96/30.14 (step @p32 :rule refl :args (@t90)) % 29.96/30.14 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t90 (not (and @t10 @t6))))) % 29.96/30.14 (step @p34 :rule bool-and-de-morgan :args (@t2 @t10 (and @t6))) % 29.96/30.14 (step @p35 :rule trans :premises (@p34 @p33)) % 29.96/30.14 (step @p36 :rule trans :premises (@p35 @p30)) % 29.96/30.14 (step @p37 :rule nary_cong :premises (@p36 @p29) :args ((or @t92 @t87))) % 29.96/30.14 (step @p38 :rule trans :premises (@p37 @p28)) % 29.96/30.14 (step @p39 :rule bool-impl-elim :args (@t15 @t87)) % 29.96/30.14 (step @p40 :rule trans :premises (@p39 @p38)) % 29.96/30.14 (step @p41 :rule cong :premises (@p40) :args ((forall @t16 (=> @t15 @t87)))) % 29.96/30.14 (step @p42 :rule aci_norm :args ((= (or @t85 (or @t84 @t83)) @t86))) % 29.96/30.14 (step @p43 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 29.96/30.14 (step @p44 :rule refl :args (@t85)) % 29.96/30.14 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t85 (not (and @t19 @t18))))) % 29.96/30.14 (step @p46 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18))) % 29.96/30.14 (step @p47 :rule trans :premises (@p46 @p45)) % 29.96/30.14 (step @p48 :rule trans :premises (@p47 @p42)) % 29.96/30.14 (step @p49 :rule cong :premises (@p48) :args (@t93)) % 29.96/30.14 (step @p50 :rule cong :premises (@p49) :args (@t94)) % 29.96/30.14 (step @p51 :rule exists-elim :args ((= @t23 @t94))) % 29.96/30.14 (step @p52 :rule trans :premises (@p51 @p50)) % 29.96/30.14 (step @p53 :rule refl :args (@t8)) % 29.96/30.14 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t24)) % 29.96/30.14 (step @p55 :rule refl :args (@t14)) % 29.96/30.14 (step @p56 :rule cong :premises (@p55 @p54) :args (@t25)) % 29.96/30.14 (step @p57 :rule refl :args (@t15)) % 29.96/30.14 (step @p58 :rule cong :premises (@p57 @p56) :args (@t26)) % 29.96/30.14 (step @p59 :rule cong :premises (@p58) :args (@t27)) % 29.96/30.14 (step @p60 :rule trans :premises (@p59 @p41)) % 29.96/30.14 (step @p61 :rule eq_resolve :premises (@p6 @p60)) % 29.96/30.14 (step @p62 :rule instantiate :premises (@p61) :args ((@list tptp.xa tptp.xR tptp.xu))) % 29.96/30.14 (step @p63 :rule and_elim :premises (@p20) :args (1)) % 29.96/30.14 (step @p64 :rule cnf_or_neg :args (@t95 0)) % 29.96/30.14 (step @p65 :rule reordering :premises (@p64) :args ((or (not @t76) @t95))) % 29.96/30.14 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t95 @t96 (@list @t76))) % 29.96/30.14 (step @p67 :rule bool-impl-elim :args (@t4 @t100)) % 29.96/30.14 (step @p68 :rule cong :premises (@p67) :args ((forall @t3 (=> @t4 @t100)))) % 29.96/30.14 (step @p69 :rule aci_norm :args ((= (or (or @t98 @t88) (or @t97 @t41)) @t99))) % 29.96/30.14 (step @p70 :rule bool-impl-elim :args (@t42 @t41)) % 29.96/30.14 (step @p71 :rule bool-and-de-morgan :args (@t13 @t6 true)) % 29.96/30.14 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t44) @t43))) % 29.96/30.14 (step @p73 :rule trans :premises (@p72 @p69)) % 29.96/30.14 (step @p74 :rule bool-impl-elim :args (@t44 @t43)) % 29.96/30.14 (step @p75 :rule trans :premises (@p74 @p73)) % 29.96/30.14 (step @p76 :rule cong :premises (@p75) :args (@t46)) % 29.96/30.14 (step @p77 :rule refl :args (@t47)) % 29.96/30.14 (step @p78 :rule cong :premises (@p77 @p76) :args (@t48)) % 29.96/30.14 (step @p79 :rule refl :args (@t4)) % 29.96/30.14 (step @p80 :rule cong :premises (@p79 @p78) :args (@t49)) % 29.96/30.14 (step @p81 :rule cong :premises (@p80) :args (@t50)) % 29.96/30.14 (step @p82 :rule trans :premises (@p81 @p68)) % 29.96/30.14 (step @p83 :rule eq_resolve :premises (@p12 @p82)) % 29.96/30.14 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.xR))) % 29.96/30.14 (step @p85 :rule cnf_or_pos :args (@t104)) % 29.96/30.14 (step @p86 :rule reordering :premises (@p85) :args ((or @t103 @t102 (not @t104)))) % 29.96/30.14 (step @p87 :rule chain_m_resolution :premises (@p86 @p15 @p84) :args (@t102 @t105 (@list @t60 @t104))) % 29.96/30.14 (step @p88 :rule and_elim :premises (@p16) :args (1)) % 29.96/30.14 (step @p89 :rule cnf_equiv_pos1 :args (@t102)) % 29.96/30.14 (step @p90 :rule reordering :premises (@p89) :args ((or (not @t61) @t101 (not @t102)))) % 29.96/30.14 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p87) :args (@t101 @t105 (@list @t61 @t102))) % 29.96/30.14 (step @p92 :rule instantiate :premises (@p91) :args ((@list tptp.xa tptp.xu))) % 29.96/30.14 (step @p93 :rule aci_norm :args ((= (or @t113 (or @t110 @t109)) (or @t90 @t98 @t88 @t112 @t111 @t110 @t109)))) % 29.96/30.14 (step @p94 :rule bool-impl-elim :args (@t68 @t109)) % 29.96/30.14 (step @p95 :rule aci_norm :args ((= (or @t90 (or @t98 (or @t88 (or @t112 @t111)))) @t113))) % 29.96/30.14 (step @p96 :rule bool-and-de-morgan :args (@t71 @t70 true)) % 29.96/30.14 (step @p97 :rule refl :args (@t88)) % 29.96/30.14 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t88 (not (and @t71 @t70))))) % 29.96/30.14 (step @p99 :rule bool-and-de-morgan :args (@t6 @t71 (and @t70))) % 29.96/30.14 (step @p100 :rule trans :premises (@p99 @p98)) % 29.96/30.14 (step @p101 :rule refl :args (@t98)) % 29.96/30.14 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t98 (not (and @t6 @t71 @t70))))) % 29.96/30.14 (step @p103 :rule bool-and-de-morgan :args (@t13 @t6 (and @t71 @t70))) % 29.96/30.14 (step @p104 :rule trans :premises (@p103 @p102)) % 29.96/30.14 (step @p105 :rule nary_cong :premises (@p32 @p104) :args ((or @t90 (not (and @t13 @t6 @t71 @t70))))) % 29.96/30.14 (step @p106 :rule bool-and-de-morgan :args (@t2 @t13 (and @t6 @t71 @t70))) % 29.96/30.14 (step @p107 :rule trans :premises (@p106 @p105)) % 29.96/30.14 (step @p108 :rule trans :premises (@p107 @p95)) % 29.96/30.14 (step @p109 :rule nary_cong :premises (@p108 @p94) :args ((or (not @t72) @t114))) % 29.96/30.14 (step @p110 :rule trans :premises (@p109 @p93)) % 29.96/30.14 (step @p111 :rule bool-impl-elim :args (@t72 @t114)) % 29.96/30.14 (step @p112 :rule trans :premises (@p111 @p110)) % 29.96/30.14 (step @p113 :rule cong :premises (@p112) :args ((forall @t16 (=> @t72 @t114)))) % 29.96/30.14 (step @p114 :rule aci_norm :args ((= (or @t85 (or @t107 @t106)) @t108))) % 29.96/30.14 (step @p115 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 29.96/30.14 (step @p116 :rule nary_cong :premises (@p44 @p115) :args ((or @t85 (not (and @t65 @t64))))) % 29.96/30.14 (step @p117 :rule bool-and-de-morgan :args (@t20 @t65 (and @t64))) % 29.96/30.14 (step @p118 :rule trans :premises (@p117 @p116)) % 29.96/30.14 (step @p119 :rule trans :premises (@p118 @p114)) % 29.96/30.14 (step @p120 :rule cong :premises (@p119) :args (@t115)) % 29.96/30.14 (step @p121 :rule cong :premises (@p120) :args (@t116)) % 29.96/30.14 (step @p122 :rule exists-elim :args ((= @t67 @t116))) % 29.96/30.14 (step @p123 :rule trans :premises (@p122 @p121)) % 29.96/30.14 (step @p124 :rule refl :args (@t68)) % 29.96/30.14 (step @p125 :rule cong :premises (@p124 @p123) :args (@t69)) % 29.96/30.14 (step @p126 :rule refl :args (@t72)) % 29.96/30.14 (step @p127 :rule cong :premises (@p126 @p125) :args (@t73)) % 29.96/30.14 (step @p128 :rule cong :premises (@p127) :args (@t74)) % 29.96/30.14 (step @p129 :rule trans :premises (@p128 @p113)) % 29.96/30.14 (step @p130 :rule eq_resolve :premises (@p18 @p129)) % 29.96/30.14 (step @p131 :rule instantiate :premises (@p130) :args ((@list tptp.xu tptp.xd tptp.xb))) % 29.96/30.14 (step @p132 :rule bool-double-not-elim :args (@t122)) % 29.96/30.14 (step @p133 :rule refl :args (@t128)) % 29.96/30.14 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t128 (not @t127)))) % 29.96/30.14 (step @p135 :rule cnf_or_neg :args (@t128 0)) % 29.96/30.14 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 29.96/30.14 (step @p137 :rule reordering :premises (@p136) :args ((or @t122 @t128))) % 29.96/30.14 (step @p138 :rule bool-double-not-elim :args (@t125)) % 29.96/30.14 (step @p139 :rule nary_cong :premises (@p133 @p138) :args ((or @t128 (not @t126)))) % 29.96/30.14 (step @p140 :rule cnf_or_neg :args (@t128 1)) % 29.96/30.14 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 29.96/30.14 (step @p142 :rule reordering :premises (@p141) :args ((or @t125 @t128))) % 29.96/30.14 (step @p143 :rule bool-double-not-elim :args (@t123)) % 29.96/30.14 (step @p144 :rule nary_cong :premises (@p133 @p143) :args ((or @t128 (not @t124)))) % 29.96/30.14 (step @p145 :rule cnf_or_neg :args (@t128 2)) % 29.96/30.14 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 29.96/30.14 (step @p147 :rule reordering :premises (@p146) :args ((or @t123 @t128))) % 29.96/30.14 (step @p148 :rule quant-merge-prenex :args ((= (forall @t12 @t133) (forall (@list @t1 @t7 @t129) @t131)))) % 29.96/30.14 (step @p149 :rule alpha_equiv :args (@t134 (@list @t129) (@list @t5))) % 29.96/30.14 (step @p150 :rule refl :args (@t89)) % 29.96/30.14 (step @p151 :rule nary_cong :premises (@p32 @p150 @p149) :args (@t135)) % 29.96/30.14 (step @p152 :rule quant-miniscope-or :args ((= @t133 @t135))) % 29.96/30.14 (step @p153 :rule trans :premises (@p152 @p151)) % 29.96/30.14 (step @p154 :rule symm :premises (@p153)) % 29.96/30.14 (step @p155 :rule cong :premises (@p154) :args ((forall @t12 @t138))) % 29.96/30.14 (step @p156 :rule trans :premises (@p155 @p148)) % 29.96/30.14 (step @p157 :rule aci_norm :args ((= (or (or @t90 @t89) @t137) @t138))) % 29.96/30.14 (step @p158 :rule refl :args (@t137)) % 29.96/30.14 (step @p159 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 29.96/30.14 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t11) @t137))) % 29.96/30.14 (step @p161 :rule trans :premises (@p160 @p157)) % 29.96/30.14 (step @p162 :rule bool-impl-elim :args (@t11 @t137)) % 29.96/30.14 (step @p163 :rule trans :premises (@p162 @p161)) % 29.96/30.14 (step @p164 :rule cong :premises (@p163) :args ((forall @t12 (=> @t11 @t137)))) % 29.96/30.14 (step @p165 :rule trans :premises (@p164 @p156)) % 29.96/30.14 (step @p166 :rule bool-double-not-elim :args (@t136)) % 29.96/30.14 (step @p167 :rule exists-elim :args ((= @t52 (not @t136)))) % 29.96/30.14 (step @p168 :rule cong :premises (@p167) :args (@t53)) % 29.96/30.14 (step @p169 :rule trans :premises (@p168 @p166)) % 29.96/30.14 (step @p170 :rule refl :args (@t30)) % 29.96/30.14 (step @p171 :rule refl :args (@t6)) % 29.96/30.14 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (@t54)) % 29.96/30.14 (step @p173 :rule refl :args (@t55)) % 29.96/30.14 (step @p174 :rule cong :premises (@p173 @p172) :args (@t56)) % 29.96/30.14 (step @p175 :rule cong :premises (@p174) :args (@t57)) % 29.96/30.14 (step @p176 :rule refl :args (@t11)) % 29.96/30.14 (step @p177 :rule cong :premises (@p176 @p175) :args (@t58)) % 29.96/30.14 (step @p178 :rule cong :premises (@p177) :args (@t59)) % 29.96/30.14 (step @p179 :rule trans :premises (@p178 @p165)) % 29.96/30.14 (step @p180 :rule eq_resolve :premises (@p13 @p179)) % 29.96/30.14 (step @p181 :rule instantiate :premises (@p180) :args ((@list tptp.xw tptp.xR tptp.xd))) % 29.96/30.14 (step @p182 :rule and_elim :premises (@p22) :args (0)) % 29.96/30.14 (step @p183 :rule cnf_or_pos :args (@t146)) % 29.96/30.14 (step @p184 :rule reordering :premises (@p183) :args ((or @t103 @t145 @t144 (not @t146)))) % 29.96/30.14 (step @p185 :rule chain_m_resolution :premises (@p184 @p15 @p182 @p181) :args (@t144 (@list false false false) (@list @t60 @t79 @t146))) % 29.96/30.14 (step @p186 :rule cnf_equiv_pos1 :args (@t144)) % 29.96/30.14 (step @p187 :rule reordering :premises (@p186) :args ((or (not @t80) @t143 (not @t144)))) % 29.96/30.14 (step @p188 :rule chain_m_resolution :premises (@p187 @p23 @p185) :args (@t143 @t105 (@list @t80 @t144))) % 29.96/30.14 (step @p189 :rule cnf_and_pos :args (@t143 0)) % 29.96/30.14 (step @p190 :rule reordering :premises (@p189) :args ((or @t142 @t147))) % 29.96/30.14 (step @p191 :rule chain_m_resolution :premises (@p190 @p188) :args (@t142 @t96 @t148)) % 29.96/30.14 (step @p192 :rule aci_norm :args ((= (or @t91 @t31) (or @t90 @t89 @t88 @t31)))) % 29.96/30.14 (step @p193 :rule refl :args (@t31)) % 29.96/30.14 (step @p194 :rule nary_cong :premises (@p36 @p193) :args ((or @t92 @t31))) % 29.96/30.14 (step @p195 :rule trans :premises (@p194 @p192)) % 29.96/30.14 (step @p196 :rule bool-impl-elim :args (@t15 @t31)) % 29.96/30.14 (step @p197 :rule trans :premises (@p196 @p195)) % 29.96/30.14 (step @p198 :rule cong :premises (@p197) :args (@t32)) % 29.96/30.14 (step @p199 :rule eq_resolve :premises (@p8 @p198)) % 29.96/30.14 (step @p200 :rule instantiate :premises (@p199) :args (@t149)) % 29.96/30.14 (step @p201 :rule cnf_or_pos :args (@t155)) % 29.96/30.14 (step @p202 :rule reordering :premises (@p201) :args ((or @t103 @t154 @t127 @t153 (not @t155)))) % 29.96/30.14 (step @p203 :rule instantiate :premises (@p61) :args (@t149)) % 29.96/30.14 (step @p204 :rule cnf_or_pos :args (@t161)) % 29.96/30.14 (step @p205 :rule reordering :premises (@p204) :args ((or @t103 @t154 @t127 @t160 (not @t161)))) % 29.96/30.14 (step @p206 :rule refl :args (@t162)) % 29.96/30.14 (step @p207 :rule refl :args (@t126)) % 29.96/30.14 (step @p208 :rule bool-double-not-elim :args (@t81)) % 29.96/30.14 (step @p209 :rule nary_cong :premises (@p208 @p207 @p206) :args ((or (not @t82) @t126 @t162))) % 29.96/30.14 (assume-push @p334 @t82) % 29.96/30.14 (assume-push @p335 @t151) % 29.96/30.14 (assume-push @p336 @t125) % 29.96/30.14 (step @p213 :rule evaluate :args ((= true false))) % 29.96/30.14 (step @p214 :rule false_intro :premises (@p24)) % 29.96/30.14 (step @p215 :rule symm :premises (@p335)) % 29.96/30.14 (step @p216 :rule refl :args (tptp.xR)) % 29.96/30.14 (step @p217 :rule refl :args (tptp.xb)) % 29.96/30.14 (step @p218 :rule cong :premises (@p217 @p216 @p215) :args (@t125)) % 29.96/30.14 (step @p219 :rule true_intro :premises (@p336)) % 29.96/30.14 (step @p220 :rule symm :premises (@p219)) % 29.96/30.14 (step @p221 :rule trans :premises (@p220 @p218 @p214)) % 29.96/30.14 (step @p222 false :rule eq_resolve :premises (@p221 @p213)) % 29.96/30.14 (step-pop @p337 :rule scope :premises (@p222)) % 29.96/30.14 (step-pop @p338 :rule scope :premises (@p337)) % 29.96/30.14 (step-pop @p339 :rule scope :premises (@p338)) % 29.96/30.14 (step @p223 :rule process_scope :premises (@p339) :args (false)) % 29.96/30.14 (assume-push @p340 @t82) % 29.96/30.14 (assume-push @p341 @t125) % 29.96/30.14 (assume-push @p342 @t151) % 29.96/30.14 (step @p230 :rule and_intro :premises (@p24 @p342 @p341)) % 29.96/30.14 (step-pop @p343 :rule scope :premises (@p230)) % 29.96/30.14 (step-pop @p344 :rule scope :premises (@p343)) % 29.96/30.14 (step-pop @p345 :rule scope :premises (@p344)) % 29.96/30.14 (step @p231 :rule process_scope :premises (@p345) :args (@t163)) % 29.96/30.14 (step @p235 :rule implies_elim :premises (@p231)) % 29.96/30.14 (step @p236 :rule resolution :premises (@p235 @p223) :args (true @t163)) % 29.96/30.14 (step @p237 :rule not_and :premises (@p236)) % 29.96/30.14 (step @p238 :rule eq_resolve :premises (@p237 @p209)) % 29.96/30.14 (step @p239 :rule cnf_equiv_pos1 :args (@t153)) % 29.96/30.14 (step @p240 :rule reordering :premises (@p239) :args ((or @t124 @t152 (not @t153)))) % 29.96/30.14 (step @p241 :rule cnf_and_pos :args (@t143 2)) % 29.96/30.14 (step @p242 :rule reordering :premises (@p241) :args ((or @t140 @t147))) % 29.96/30.14 (step @p243 :rule chain_m_resolution :premises (@p242 @p188) :args (@t140 @t96 @t148)) % 29.96/30.14 (step @p244 :rule instantiate :premises (@p243) :args ((@list @t164))) % 29.96/30.14 (step @p245 :rule bool-double-not-elim :args (@t165)) % 29.96/30.14 (step @p246 :rule refl :args (@t167)) % 29.96/30.14 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or @t167 (not @t166)))) % 29.96/30.14 (step @p248 :rule cnf_or_neg :args (@t167 1)) % 29.96/30.14 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 29.96/30.14 (step @p250 :rule reordering :premises (@p249) :args ((or @t165 @t167))) % 29.96/30.14 (step @p251 :rule chain_m_resolution :premises (@p250 @p244) :args (@t167 (@list true) (@list @t165))) % 29.96/30.14 (step @p252 :rule refl :args (@t168)) % 29.96/30.14 (step @p253 :rule bool-double-not-elim :args (@t156)) % 29.96/30.14 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or (not @t157) @t168))) % 29.96/30.14 (assume-push @p346 @t157) % 29.96/30.14 (step @p256 :rule skolemize :premises (@p346)) % 29.96/30.14 (step-pop @p347 :rule scope :premises (@p256)) % 29.96/30.14 (step @p257 :rule process_scope :premises (@p347) :args (@t168)) % 29.96/30.14 (step @p259 :rule implies_elim :premises (@p257)) % 29.96/30.14 (step @p260 :rule eq_resolve :premises (@p259 @p254)) % 29.96/30.14 (step @p261 :rule chain_m_resolution :premises (@p260 @p251) :args (@t156 @t96 (@list @t167))) % 29.96/30.14 (step @p262 :rule instantiate :premises (@p243) :args ((@list @t121))) % 29.96/30.14 (step @p263 :rule cnf_or_pos :args (@t159)) % 29.96/30.14 (step @p264 :rule reordering :premises (@p263) :args ((or @t158 @t157 @t169))) % 29.96/30.14 (step @p265 :rule chain_m_resolution :premises (@p264 @p262 @p261) :args (@t169 @t170 (@list @t158 @t156))) % 29.96/30.14 (step @p266 :rule cnf_equiv_pos1 :args (@t160)) % 29.96/30.14 (step @p267 :rule reordering :premises (@p266) :args ((or (not @t150) @t159 (not @t160)))) % 29.96/30.14 (step @p268 :rule cnf_or_pos :args (@t152)) % 29.96/30.14 (step @p269 :rule reordering :premises (@p268) :args ((or @t151 @t150 (not @t152)))) % 29.96/30.14 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p265 @p240 @p238 @p24 @p205 @p203 @p191 @p15 @p202 @p200 @p191 @p15 @p147 @p142 @p137) :args (@t128 (@list true true false true true false false false false false false false false false false false) (@list @t150 @t159 @t152 @t151 @t81 @t160 @t161 @t142 @t60 @t153 @t155 @t142 @t60 @t123 @t125 @t122))) % 29.96/30.14 (step @p271 :rule refl :args (@t171)) % 29.96/30.14 (step @p272 :rule bool-double-not-elim :args (@t120)) % 29.96/30.14 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or (not @t172) @t171))) % 29.96/30.14 (assume-push @p348 @t172) % 29.96/30.14 (step @p275 :rule skolemize :premises (@p348)) % 29.96/30.14 (step-pop @p349 :rule scope :premises (@p275)) % 29.96/30.14 (step @p276 :rule process_scope :premises (@p349) :args (@t171)) % 29.96/30.14 (step @p278 :rule implies_elim :premises (@p276)) % 29.96/30.14 (step @p279 :rule eq_resolve :premises (@p278 @p273)) % 29.96/30.14 (step @p280 :rule chain_m_resolution :premises (@p279 @p270) :args (@t120 @t96 (@list @t128))) % 29.96/30.14 (step @p281 :rule aci_norm :args ((= @t173 @t119))) % 29.96/30.14 (step @p282 :rule cong :premises (@p281) :args (@t174)) % 29.96/30.14 (step @p283 :rule true_intro :premises (@p282)) % 29.96/30.14 (step @p284 :rule eq-symm :args (@t120 @t174)) % 29.96/30.14 (step @p285 :rule trans :premises (@p284 @p283)) % 29.96/30.14 (step @p286 :rule true_elim :premises (@p285)) % 29.96/30.14 (step @p287 :rule equiv_elim1 :premises (@p286)) % 29.96/30.14 (step @p288 :rule chain_m_resolution :premises (@p287 @p280) :args (@t174 @t96 (@list @t120))) % 29.96/30.14 (step @p289 :rule aci_norm :args ((= (or @t178 @t177) (or @t90 @t89 @t88 @t85 @t176 @t175 @t33)))) % 29.96/30.14 (step @p290 :rule aci_norm :args ((= (or (or @t176 @t175) @t33) @t177))) % 29.96/30.14 (step @p291 :rule refl :args (@t33)) % 29.96/30.14 (step @p292 :rule bool-and-de-morgan :args (@t30 @t34 true)) % 29.96/30.14 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or (not @t35) @t33))) % 29.96/30.14 (step @p294 :rule trans :premises (@p293 @p290)) % 29.96/30.14 (step @p295 :rule bool-impl-elim :args (@t35 @t33)) % 29.96/30.14 (step @p296 :rule trans :premises (@p295 @p294)) % 29.96/30.14 (step @p297 :rule aci_norm :args ((= (or @t90 (or @t89 (or @t88 @t85))) @t178))) % 29.96/30.14 (step @p298 :rule bool-and-de-morgan :args (@t6 @t20 true)) % 29.96/30.14 (step @p299 :rule nary_cong :premises (@p150 @p298) :args ((or @t89 (not (and @t6 @t20))))) % 29.96/30.14 (step @p300 :rule bool-and-de-morgan :args (@t10 @t6 (and @t20))) % 29.96/30.14 (step @p301 :rule trans :premises (@p300 @p299)) % 29.96/30.14 (step @p302 :rule nary_cong :premises (@p32 @p301) :args ((or @t90 (not (and @t10 @t6 @t20))))) % 29.96/30.14 (step @p303 :rule bool-and-de-morgan :args (@t2 @t10 (and @t6 @t20))) % 29.96/30.14 (step @p304 :rule trans :premises (@p303 @p302)) % 29.96/30.14 (step @p305 :rule trans :premises (@p304 @p297)) % 29.96/30.14 (step @p306 :rule nary_cong :premises (@p305 @p296) :args ((or (not @t28) @t36))) % 29.96/30.14 (step @p307 :rule trans :premises (@p306 @p289)) % 29.96/30.14 (step @p308 :rule bool-impl-elim :args (@t28 @t36)) % 29.96/30.14 (step @p309 :rule trans :premises (@p308 @p307)) % 29.96/30.14 (step @p310 :rule cong :premises (@p309) :args (@t37)) % 29.96/30.14 (step @p311 :rule eq_resolve :premises (@p9 @p310)) % 29.96/30.14 (step @p312 :rule instantiate :premises (@p311) :args ((@list tptp.xu tptp.xR tptp.xw tptp.xd))) % 29.96/30.14 (step @p313 :rule cnf_and_pos :args (@t143 1)) % 29.96/30.14 (step @p314 :rule reordering :premises (@p313) :args ((or @t141 @t147))) % 29.96/30.14 (step @p315 :rule chain_m_resolution :premises (@p314 @p188) :args (@t141 @t96 @t148)) % 29.96/30.14 (step @p316 :rule and_elim :premises (@p22) :args (1)) % 29.96/30.14 (step @p317 :rule cnf_or_pos :args (@t183)) % 29.96/30.14 (step @p318 :rule reordering :premises (@p317) :args ((or @t103 @t182 @t145 @t181 @t154 @t180 @t179 (not @t183)))) % 29.96/30.14 (step @p319 :rule chain_m_resolution :premises (@p318 @p15 @p27 @p182 @p316 @p191 @p315 @p312) :args (@t179 @t184 (@list @t60 @t77 @t79 @t78 @t142 @t141 @t183))) % 29.96/30.14 (step @p320 :rule and_elim :premises (@p20) :args (2)) % 29.96/30.14 (step @p321 :rule and_elim :premises (@p17) :args (1)) % 29.96/30.14 (step @p322 :rule cnf_or_pos :args (@t191)) % 29.96/30.14 (step @p323 :rule reordering :premises (@p322) :args ((or @t190 @t182 @t188 @t154 @t187 @t189 @t185 (not @t191)))) % 29.96/30.14 (step @p324 :rule chain_m_resolution :premises (@p323 @p321 @p27 @p320 @p191 @p319 @p288 @p131) :args (@t187 @t184 (@list @t62 @t77 @t75 @t142 @t179 @t174 @t191))) % 29.96/30.14 (step @p325 :rule cnf_or_pos :args (@t195)) % 29.96/30.14 (step @p326 :rule reordering :premises (@p325) :args ((or @t194 @t182 @t186 @t193 (not @t195)))) % 29.96/30.14 (step @p327 :rule chain_m_resolution :premises (@p326 @p26 @p27 @p324 @p92) :args (@t193 (@list false false true false) (@list @t63 @t77 @t186 @t195))) % 29.96/30.14 (step @p328 :rule cnf_equiv_pos2 :args (@t196)) % 29.96/30.14 (step @p329 :rule reordering :premises (@p328) :args ((or @t192 (not @t95) @t197))) % 29.96/30.14 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p66) :args (@t197 @t170 (@list @t192 @t95))) % 29.96/30.14 (step @p331 :rule cnf_or_pos :args (@t198)) % 29.96/30.14 (step @p332 :rule reordering :premises (@p331) :args ((or @t103 @t194 @t182 @t196 (not @t198)))) % 29.96/30.14 (step @p333 false :rule chain_m_resolution :premises (@p332 @p330 @p62 @p27 @p26 @p15) :args (false (@list true false false false false) (@list @t196 @t198 @t77 @t63 @t60))) % 29.96/30.14 ) % 29.96/30.14 % SZS output end Proof % 29.96/30.14 % cvc5 exiting %------------------------------------------------------------------------------