%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC127+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:58:09 AM UTC 2026 % Result : Theorem 0.37s 0.70s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC127+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:16:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.70 % SZS status Theorem % 0.37/0.70 % SZS output start Proof % 0.37/0.70 ( % 0.37/0.70 (declare-sort $$unsorted 0) % 0.37/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.nil $$unsorted) % 0.37/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.70 (define @t3 () (= @t2 @t1)) % 0.37/0.70 (define @t4 () (not @t3)) % 0.37/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.70 (define @t7 () (@list @t1)) % 0.37/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.70 (define @t9 () (@list @t2)) % 0.37/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.70 (define @t13 () (tptp.ssList @t10)) % 0.37/0.70 (define @t14 () (@list @t10)) % 0.37/0.70 (define @t15 () (tptp.ssList @t12)) % 0.37/0.70 (define @t16 () (@list @t12)) % 0.37/0.70 (define @t17 () (tptp.ssList @t2)) % 0.37/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.70 (define @t19 () (tptp.singletonP @t2)) % 0.37/0.70 (define @t20 () (tptp.app @t1 @t12)) % 0.37/0.70 (define @t21 () (tptp.frontsegP @t2 @t1)) % 0.37/0.70 (define @t22 () (tptp.ssList @t1)) % 0.37/0.70 (define @t23 () (tptp.app @t12 @t1)) % 0.37/0.70 (define @t24 () (tptp.rearsegP @t2 @t1)) % 0.37/0.70 (define @t25 () (tptp.segmentP @t2 @t1)) % 0.37/0.70 (define @t26 () (tptp.leq @t12 @t1)) % 0.37/0.70 (define @t27 () (tptp.leq @t1 @t12)) % 0.37/0.70 (define @t28 () (@var "Z" $$unsorted)) % 0.37/0.70 (define @t29 () (@var "Y" $$unsorted)) % 0.37/0.70 (define @t30 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t29)) (tptp.cons @t12 @t28)) @t2)) % 0.37/0.70 (define @t31 () (tptp.ssList @t28)) % 0.37/0.70 (define @t32 () (@list @t28)) % 0.37/0.70 (define @t33 () (tptp.ssList @t29)) % 0.37/0.70 (define @t34 () (@list @t29)) % 0.37/0.70 (define @t35 () (tptp.ssItem @t12)) % 0.37/0.70 (define @t36 () (tptp.lt @t1 @t12)) % 0.37/0.70 (define @t37 () (= @t1 @t12)) % 0.37/0.70 (define @t38 () (forall @t7 (=> @t22 @t5))) % 0.37/0.70 (define @t39 () (=> @t17 @t38)) % 0.37/0.70 (define @t40 () (forall @t9 @t39)) % 0.37/0.70 (define @t41 () (tptp.cons @t1 @t2)) % 0.37/0.70 (define @t42 () (tptp.ssList tptp.nil)) % 0.37/0.70 (define @t43 () (= @t1 @t2)) % 0.37/0.70 (define @t44 () (tptp.cons @t12 @t1)) % 0.37/0.70 (define @t45 () (= tptp.nil @t2)) % 0.37/0.70 (define @t46 () (tptp.hd @t2)) % 0.37/0.70 (define @t47 () (not @t45)) % 0.37/0.70 (define @t48 () (tptp.tl @t2)) % 0.37/0.70 (define @t49 () (tptp.app @t2 @t1)) % 0.37/0.70 (define @t50 () (tptp.app @t1 @t2)) % 0.37/0.70 (define @t51 () (tptp.leq @t1 @t2)) % 0.37/0.70 (define @t52 () (tptp.leq @t2 @t1)) % 0.37/0.70 (define @t53 () (tptp.geq @t2 @t1)) % 0.37/0.70 (define @t54 () (tptp.lt @t1 @t2)) % 0.37/0.70 (define @t55 () (tptp.lt @t2 @t1)) % 0.37/0.70 (define @t56 () (tptp.lt @t2 @t12)) % 0.37/0.70 (define @t57 () (tptp.gt @t2 @t1)) % 0.37/0.70 (define @t58 () (tptp.memberP @t12 @t2)) % 0.37/0.70 (define @t59 () (tptp.singletonP tptp.nil)) % 0.37/0.70 (define @t60 () (tptp.app @t12 @t2)) % 0.37/0.70 (define @t61 () (tptp.segmentP @t1 @t12)) % 0.37/0.70 (define @t62 () (tptp.segmentP @t1 @t2)) % 0.37/0.70 (define @t63 () (tptp.cons @t2 tptp.nil)) % 0.37/0.70 (define @t64 () (tptp.hd @t1)) % 0.37/0.70 (define @t65 () (= tptp.nil @t1)) % 0.37/0.70 (define @t66 () (not @t65)) % 0.37/0.70 (define @t67 () (tptp.cons @t2 @t1)) % 0.37/0.70 (define @t68 () (= @t12 @t2)) % 0.37/0.70 (define @t69 () (tptp.neq @t2 tptp.nil)) % 0.37/0.70 (define @t70 () (and @t69 @t62)) % 0.37/0.70 (define @t71 () (not (tptp.singletonP @t12))) % 0.37/0.70 (define @t72 () (and @t71 (tptp.neq @t10 tptp.nil))) % 0.37/0.70 (define @t73 () (not (tptp.segmentP @t10 @t12))) % 0.37/0.70 (define @t74 () (tptp.neq @t1 tptp.nil)) % 0.37/0.70 (define @t75 () (not @t74)) % 0.37/0.70 (define @t76 () (not (= @t2 @t12))) % 0.37/0.70 (define @t77 () (not (= @t1 @t10))) % 0.37/0.70 (define @t78 () (or @t77 @t76 @t75 @t73 @t72 @t70)) % 0.37/0.70 (define @t79 () (forall @t14 (=> @t13 @t78))) % 0.37/0.70 (define @t80 () (=> @t15 @t79)) % 0.37/0.70 (define @t81 () (forall @t16 @t80)) % 0.37/0.70 (define @t82 () (=> @t22 @t81)) % 0.37/0.70 (define @t83 () (forall @t7 @t82)) % 0.37/0.70 (define @t84 () (=> @t17 @t83)) % 0.37/0.70 (define @t85 () (forall @t9 @t84)) % 0.37/0.70 (define @t86 () (not @t85)) % 0.37/0.70 (define @t87 () (@var "BOUND_VARIABLE_10957" $$unsorted)) % 0.37/0.70 (define @t88 () (tptp.neq @t87 tptp.nil)) % 0.37/0.70 (define @t89 () (not @t19)) % 0.37/0.70 (define @t90 () (and @t89 @t88)) % 0.37/0.70 (define @t91 () (tptp.segmentP @t87 @t2)) % 0.37/0.70 (define @t92 () (not @t91)) % 0.37/0.70 (define @t93 () (and @t69 @t91)) % 0.37/0.70 (define @t94 () (not @t88)) % 0.37/0.70 (define @t95 () (not (tptp.ssList @t87))) % 0.37/0.70 (define @t96 () (not @t17)) % 0.37/0.70 (define @t97 () (or @t96 @t95 @t94 @t93 @t92 @t90)) % 0.37/0.70 (define @t98 () (or @t95 @t94 @t93 @t92 @t90)) % 0.37/0.70 (define @t99 () (or @t96 @t98)) % 0.37/0.70 (define @t100 () (@list @t2 @t87)) % 0.37/0.70 (define @t101 () (forall @t100 @t99)) % 0.37/0.70 (define @t102 () (@list @t87)) % 0.37/0.70 (define @t103 () (forall @t102 @t99)) % 0.37/0.70 (define @t104 () (forall @t102 @t98)) % 0.37/0.70 (define @t105 () (@list @t1)) % 0.37/0.70 (define @t106 () (or @t96 @t104)) % 0.37/0.70 (define @t107 () (and @t89 @t74)) % 0.37/0.70 (define @t108 () (not @t62)) % 0.37/0.70 (define @t109 () (not @t22)) % 0.37/0.70 (define @t110 () (or @t109 @t75 @t70 @t108 @t107)) % 0.37/0.70 (define @t111 () (or @t96 (forall @t7 @t110))) % 0.37/0.70 (define @t112 () (or @t96 @t110)) % 0.37/0.70 (define @t113 () (or @t109 @t75 @t70 @t96 @t108 @t107)) % 0.37/0.70 (define @t114 () (or @t75 @t70 @t109 @t96 @t108 @t107)) % 0.37/0.70 (define @t115 () (or @t96 @t108 @t107)) % 0.37/0.70 (define @t116 () (not (= @t2 @t2))) % 0.37/0.70 (define @t117 () (or @t96 @t116 @t108 @t107)) % 0.37/0.70 (define @t118 () (and @t71 @t74)) % 0.37/0.70 (define @t119 () (not @t61)) % 0.37/0.70 (define @t120 () (not @t15)) % 0.37/0.70 (define @t121 () (or @t76 @t120 @t76 @t119 @t118)) % 0.37/0.70 (define @t122 () (or @t120 @t76 @t119 @t118)) % 0.37/0.70 (define @t123 () (forall @t16 @t122)) % 0.37/0.70 (define @t124 () (or @t75 @t70 @t109 @t123)) % 0.37/0.70 (define @t125 () (or @t75 @t70 @t109 @t122)) % 0.37/0.70 (define @t126 () (or @t120 @t76 @t75 @t70 @t109 @t119 @t118)) % 0.37/0.70 (define @t127 () (or @t76 @t75 @t70 @t109 @t119 @t118)) % 0.37/0.70 (define @t128 () (or @t109 @t119 @t118)) % 0.37/0.70 (define @t129 () (not (= @t1 @t1))) % 0.37/0.70 (define @t130 () (or @t109 @t129 @t119 @t118)) % 0.37/0.70 (define @t131 () (not @t13)) % 0.37/0.70 (define @t132 () (or @t77 @t131 @t77 @t73 @t72)) % 0.37/0.70 (define @t133 () (or @t131 @t77 @t73 @t72)) % 0.37/0.70 (define @t134 () (forall @t14 @t133)) % 0.37/0.70 (define @t135 () (or @t76 @t75 @t70 @t134)) % 0.37/0.70 (define @t136 () (or @t76 @t75 @t70 @t133)) % 0.37/0.70 (define @t137 () (or @t131 @t77 @t76 @t75 @t73 @t72 @t70)) % 0.37/0.70 (define @t138 () (forall @t100 @t97)) % 0.37/0.70 (define @t139 () (@quantifiers_skolemize @t138 1)) % 0.37/0.70 (define @t140 () (tptp.neq @t139 tptp.nil)) % 0.37/0.70 (define @t141 () (@quantifiers_skolemize @t138 0)) % 0.37/0.70 (define @t142 () (tptp.singletonP @t141)) % 0.37/0.70 (define @t143 () (not @t142)) % 0.37/0.70 (define @t144 () (and @t143 @t140)) % 0.37/0.70 (define @t145 () (tptp.segmentP @t139 @t141)) % 0.37/0.70 (define @t146 () (not @t145)) % 0.37/0.70 (define @t147 () (tptp.neq @t141 tptp.nil)) % 0.37/0.70 (define @t148 () (and @t147 @t145)) % 0.37/0.70 (define @t149 () (not @t140)) % 0.37/0.70 (define @t150 () (tptp.ssList @t141)) % 0.37/0.70 (define @t151 () (not @t150)) % 0.37/0.70 (define @t152 () (or @t151 (not (tptp.ssList @t139)) @t149 @t148 @t146 @t144)) % 0.37/0.70 (define @t153 () (@list true)) % 0.37/0.70 (define @t154 () (@list @t152)) % 0.37/0.70 (define @t155 () (@var "BOUND_VARIABLE_9097" $$unsorted)) % 0.37/0.70 (define @t156 () (= (tptp.neq @t2 @t155) (not (= @t2 @t155)))) % 0.37/0.70 (define @t157 () (not (tptp.ssList @t155))) % 0.37/0.70 (define @t158 () (or @t96 @t157 @t156)) % 0.37/0.70 (define @t159 () (or @t157 @t156)) % 0.37/0.70 (define @t160 () (or @t96 @t159)) % 0.37/0.70 (define @t161 () (@list @t2 @t155)) % 0.37/0.70 (define @t162 () (forall @t161 @t160)) % 0.37/0.70 (define @t163 () (@list @t155)) % 0.37/0.70 (define @t164 () (forall @t163 @t160)) % 0.37/0.70 (define @t165 () (forall @t163 @t159)) % 0.37/0.70 (define @t166 () (or @t96 @t165)) % 0.37/0.70 (define @t167 () (forall @t7 (or @t109 @t5))) % 0.37/0.70 (define @t168 () (not (= @t141 tptp.nil))) % 0.37/0.70 (define @t169 () (= @t147 @t168)) % 0.37/0.70 (define @t170 () (not @t42)) % 0.37/0.70 (define @t171 () (or @t151 @t170 @t169)) % 0.37/0.70 (define @t172 () (forall @t161 @t158)) % 0.37/0.70 (define @t173 () (= tptp.nil @t141)) % 0.37/0.70 (define @t174 () (not @t173)) % 0.37/0.70 (define @t175 () (= @t147 @t174)) % 0.37/0.70 (define @t176 () (or @t151 @t170 @t175)) % 0.37/0.70 (define @t177 () (not @t147)) % 0.37/0.70 (define @t178 () (@list true false)) % 0.37/0.70 (define @t179 () (not @t175)) % 0.37/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.70 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.37/0.70 (assume @p4 (forall @t9 (=> @t17 (= @t19 (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (= @t21 (exists @t16 (and @t15 (= @t20 @t2))))))))) % 0.37/0.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (= @t24 (exists @t16 (and @t15 (= @t23 @t2))))))))) % 0.37/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (= @t25 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t23 @t10) @t2))))))))))) % 0.37/0.70 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (not (and @t27 @t26))))))))))))))))) % 0.37/0.70 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (or @t27 @t26)))))))))))))))) % 0.37/0.70 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (or @t36 (tptp.lt @t12 @t1))))))))))))))))) % 0.37/0.70 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 @t27))))))))))))))) % 0.37/0.70 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 @t36))))))))))))))) % 0.37/0.70 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (not @t37)))))))))))))))) % 0.37/0.70 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t29))) @t2) @t37))))))))))))) % 0.37/0.70 (assume @p15 @t40) % 0.37/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.37/0.70 (assume @p17 @t42) % 0.37/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.37/0.70 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t35 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 0.37/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t22 (exists @t16 (and @t35 (= @t44 @t2))))))))) % 0.37/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.37/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.37/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.37/0.70 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.37/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.37/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (tptp.ssList @t49)))))) % 0.37/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t35 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.37/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.37/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t35 (=> (and @t52 @t27) (tptp.leq @t2 @t12))))))))) % 0.37/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.37/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.37/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t35 (=> (and @t55 @t36) @t56)))))))) % 0.37/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.37/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (= (tptp.memberP @t20 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.37/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.37/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.70 (assume @p39 (not @t59)) % 0.37/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> (and @t21 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (=> (and @t21 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> @t21 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.70 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.37/0.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 0.37/0.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> (and @t24 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (=> (and @t24 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> @t24 (tptp.rearsegP @t60 @t1))))))))) % 0.37/0.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 0.37/0.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> (and @t25 @t61) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (=> (and @t25 @t62) @t3)))))) % 0.37/0.70 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.70 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t25 (tptp.segmentP (tptp.app @t60 @t10) @t1))))))))))) % 0.37/0.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 0.37/0.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t63)))) % 0.37/0.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t63)))) % 0.37/0.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t63)))) % 0.37/0.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t63)))) % 0.37/0.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t22 (= (tptp.totalorderedP @t67) (or @t65 (and @t66 (tptp.totalorderedP @t1) (tptp.leq @t2 @t64))))))))) % 0.37/0.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t63)))) % 0.37/0.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.37/0.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t22 (= (tptp.strictorderedP @t67) (or @t65 (and @t66 (tptp.strictorderedP @t1) (tptp.lt @t2 @t64))))))))) % 0.37/0.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t63)))) % 0.37/0.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t63)))) % 0.37/0.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.70 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 0.37/0.70 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t22 (= @t48 @t1))))))) % 0.37/0.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (=> (and @t66 @t47 (= @t64 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 0.37/0.70 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 0.37/0.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> (= @t23 @t49) @t68)))))))) % 0.37/0.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> (= @t20 @t50) @t68)))))))) % 0.37/0.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 0.37/0.70 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t20))))))))) % 0.37/0.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (= (= tptp.nil @t49) (and @t65 @t45))))))) % 0.37/0.70 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.70 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 0.37/0.70 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 0.37/0.70 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t35 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t35 (=> (and @t52 @t36) @t56)))))))) % 0.37/0.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 0.37/0.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 0.37/0.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t35 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.70 (assume @p96 @t86) % 0.37/0.70 (assume @p97 true) % 0.37/0.70 (step @p98 :rule evaluate :args ((= false true))) % 0.37/0.70 (step @p99 :rule aci_norm :args ((= @t99 @t97))) % 0.37/0.70 (step @p100 :rule cong :premises (@p99) :args (@t101)) % 0.37/0.70 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t103) @t101))) % 0.37/0.70 (step @p102 :rule alpha_equiv :args (@t104 (@list @t87) @t105)) % 0.37/0.70 (step @p103 :rule refl :args (@t96)) % 0.37/0.70 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t106)) % 0.37/0.70 (step @p105 :rule quant-miniscope-or :args ((= @t103 @t106))) % 0.37/0.70 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.70 (step @p107 :rule symm :premises (@p106)) % 0.37/0.70 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t111))) % 0.37/0.70 (step @p109 :rule trans :premises (@p108 @p101)) % 0.37/0.70 (step @p110 :rule trans :premises (@p109 @p100)) % 0.37/0.70 (step @p111 :rule aci_norm :args ((= (or @t96 @t111) @t111))) % 0.37/0.70 (step @p112 :rule bool-impl-elim :args (@t17 @t111)) % 0.37/0.70 (step @p113 :rule trans :premises (@p112 @p111)) % 0.37/0.70 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t111)))) % 0.37/0.70 (step @p115 :rule trans :premises (@p114 @p110)) % 0.37/0.70 (step @p116 :rule quant-miniscope-or :args ((= (forall @t7 @t112) @t111))) % 0.37/0.70 (step @p117 :rule aci_norm :args ((= @t113 @t112))) % 0.37/0.70 (step @p118 :rule cong :premises (@p117) :args ((forall @t7 @t113))) % 0.37/0.70 (step @p119 :rule trans :premises (@p118 @p116)) % 0.37/0.70 (step @p120 :rule aci_norm :args ((= (or @t109 @t114) @t113))) % 0.37/0.70 (step @p121 :rule bool-impl-elim :args (@t22 @t114)) % 0.37/0.70 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.70 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (=> @t22 @t114)))) % 0.37/0.70 (step @p124 :rule trans :premises (@p123 @p119)) % 0.37/0.70 (step @p125 :rule aci_norm :args ((= (or @t75 @t70 @t109 @t115) @t114))) % 0.37/0.70 (step @p126 :rule aci_norm :args ((= (or @t96 false @t108 @t107) @t115))) % 0.37/0.70 (step @p127 :rule refl :args (@t107)) % 0.37/0.70 (step @p128 :rule refl :args (@t108)) % 0.37/0.70 (step @p129 :rule evaluate :args ((not true))) % 0.37/0.70 (step @p130 :rule eq-refl :args (@t2)) % 0.37/0.70 (step @p131 :rule cong :premises (@p130) :args (@t116)) % 0.37/0.70 (step @p132 :rule trans :premises (@p131 @p129)) % 0.37/0.70 (step @p133 :rule refl :args (@t96)) % 0.37/0.70 (step @p134 :rule nary_cong :premises (@p133 @p132 @p128 @p127) :args (@t117)) % 0.37/0.70 (step @p135 :rule trans :premises (@p134 @p126)) % 0.37/0.70 (step @p136 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t68) @t120 @t76 @t119 @t118)) @t117))) % 0.37/0.70 (step @p137 :rule refl :args (@t118)) % 0.37/0.70 (step @p138 :rule refl :args (@t119)) % 0.37/0.70 (step @p139 :rule refl :args (@t76)) % 0.37/0.70 (step @p140 :rule refl :args (@t120)) % 0.37/0.70 (step @p141 :rule eq-symm :args (@t2 @t12)) % 0.37/0.70 (step @p142 :rule cong :premises (@p141) :args (@t76)) % 0.37/0.70 (step @p143 :rule nary_cong :premises (@p142 @p140 @p139 @p138 @p137) :args (@t121)) % 0.37/0.70 (step @p144 :rule aci_norm :args ((= @t122 @t121))) % 0.37/0.70 (step @p145 :rule trans :premises (@p144 @p143)) % 0.37/0.70 (step @p146 :rule cong :premises (@p145) :args (@t123)) % 0.37/0.70 (step @p147 :rule trans :premises (@p146 @p136)) % 0.37/0.70 (step @p148 :rule trans :premises (@p147 @p135)) % 0.37/0.70 (step @p149 :rule refl :args (@t109)) % 0.37/0.70 (step @p150 :rule refl :args (@t70)) % 0.37/0.70 (step @p151 :rule refl :args (@t75)) % 0.37/0.70 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148) :args (@t124)) % 0.37/0.70 (step @p153 :rule trans :premises (@p152 @p125)) % 0.37/0.70 (step @p154 :rule quant-miniscope-or :args ((= (forall @t16 @t125) @t124))) % 0.37/0.70 (step @p155 :rule aci_norm :args ((= @t126 @t125))) % 0.37/0.70 (step @p156 :rule cong :premises (@p155) :args ((forall @t16 @t126))) % 0.37/0.70 (step @p157 :rule trans :premises (@p156 @p154)) % 0.37/0.70 (step @p158 :rule trans :premises (@p157 @p153)) % 0.37/0.70 (step @p159 :rule aci_norm :args ((= (or @t120 @t127) @t126))) % 0.37/0.70 (step @p160 :rule bool-impl-elim :args (@t15 @t127)) % 0.37/0.70 (step @p161 :rule trans :premises (@p160 @p159)) % 0.37/0.70 (step @p162 :rule cong :premises (@p161) :args ((forall @t16 (=> @t15 @t127)))) % 0.37/0.70 (step @p163 :rule trans :premises (@p162 @p158)) % 0.37/0.70 (step @p164 :rule aci_norm :args ((= (or @t76 @t75 @t70 @t128) @t127))) % 0.37/0.70 (step @p165 :rule aci_norm :args ((= (or @t109 false @t119 @t118) @t128))) % 0.37/0.70 (step @p166 :rule refl :args (@t118)) % 0.37/0.70 (step @p167 :rule refl :args (@t119)) % 0.37/0.70 (step @p168 :rule eq-refl :args (@t1)) % 0.37/0.70 (step @p169 :rule cong :premises (@p168) :args (@t129)) % 0.37/0.70 (step @p170 :rule trans :premises (@p169 @p129)) % 0.37/0.70 (step @p171 :rule nary_cong :premises (@p149 @p170 @p167 @p166) :args (@t130)) % 0.37/0.70 (step @p172 :rule trans :premises (@p171 @p165)) % 0.37/0.70 (step @p173 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t131 @t77 @t73 @t72)) @t130))) % 0.37/0.70 (step @p174 :rule refl :args (@t72)) % 0.37/0.70 (step @p175 :rule refl :args (@t73)) % 0.37/0.70 (step @p176 :rule refl :args (@t77)) % 0.37/0.70 (step @p177 :rule refl :args (@t131)) % 0.37/0.70 (step @p178 :rule eq-symm :args (@t1 @t10)) % 0.37/0.70 (step @p179 :rule cong :premises (@p178) :args (@t77)) % 0.37/0.70 (step @p180 :rule nary_cong :premises (@p179 @p177 @p176 @p175 @p174) :args (@t132)) % 0.37/0.70 (step @p181 :rule aci_norm :args ((= @t133 @t132))) % 0.37/0.70 (step @p182 :rule trans :premises (@p181 @p180)) % 0.37/0.70 (step @p183 :rule cong :premises (@p182) :args (@t134)) % 0.37/0.70 (step @p184 :rule trans :premises (@p183 @p173)) % 0.37/0.70 (step @p185 :rule trans :premises (@p184 @p172)) % 0.37/0.70 (step @p186 :rule refl :args (@t76)) % 0.37/0.70 (step @p187 :rule nary_cong :premises (@p186 @p151 @p150 @p185) :args (@t135)) % 0.37/0.70 (step @p188 :rule trans :premises (@p187 @p164)) % 0.37/0.70 (step @p189 :rule quant-miniscope-or :args ((= (forall @t14 @t136) @t135))) % 0.37/0.70 (step @p190 :rule aci_norm :args ((= @t137 @t136))) % 0.37/0.70 (step @p191 :rule cong :premises (@p190) :args ((forall @t14 @t137))) % 0.37/0.70 (step @p192 :rule trans :premises (@p191 @p189)) % 0.37/0.70 (step @p193 :rule trans :premises (@p192 @p188)) % 0.37/0.70 (step @p194 :rule aci_norm :args ((= (or @t131 @t78) @t137))) % 0.37/0.70 (step @p195 :rule bool-impl-elim :args (@t13 @t78)) % 0.37/0.70 (step @p196 :rule trans :premises (@p195 @p194)) % 0.37/0.70 (step @p197 :rule cong :premises (@p196) :args (@t79)) % 0.37/0.70 (step @p198 :rule trans :premises (@p197 @p193)) % 0.37/0.70 (step @p199 :rule refl :args (@t15)) % 0.37/0.70 (step @p200 :rule cong :premises (@p199 @p198) :args (@t80)) % 0.37/0.70 (step @p201 :rule cong :premises (@p200) :args (@t81)) % 0.37/0.70 (step @p202 :rule trans :premises (@p201 @p163)) % 0.37/0.70 (step @p203 :rule refl :args (@t22)) % 0.37/0.70 (step @p204 :rule cong :premises (@p203 @p202) :args (@t82)) % 0.37/0.70 (step @p205 :rule cong :premises (@p204) :args (@t83)) % 0.37/0.70 (step @p206 :rule trans :premises (@p205 @p124)) % 0.37/0.70 (step @p207 :rule refl :args (@t17)) % 0.37/0.70 (step @p208 :rule cong :premises (@p207 @p206) :args (@t84)) % 0.37/0.70 (step @p209 :rule cong :premises (@p208) :args (@t85)) % 0.37/0.70 (step @p210 :rule trans :premises (@p209 @p115)) % 0.37/0.70 (step @p211 :rule cong :premises (@p210) :args (@t86)) % 0.37/0.70 (step @p212 :rule eq_resolve :premises (@p96 @p211)) % 0.37/0.70 (step @p213 :rule skolemize :premises (@p212)) % 0.37/0.70 (step @p214 :rule cnf_or_neg :args (@t152 5)) % 0.37/0.70 (step @p215 :rule chain_m_resolution :premises (@p214 @p213) :args ((not @t144) @t153 @t154)) % 0.37/0.70 (step @p216 :rule bool-double-not-elim :args (@t140)) % 0.37/0.70 (step @p217 :rule refl :args (@t152)) % 0.37/0.70 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t152 (not @t149)))) % 0.37/0.70 (step @p219 :rule cnf_or_neg :args (@t152 2)) % 0.37/0.70 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 0.37/0.70 (step @p221 :rule reordering :premises (@p220) :args ((or @t140 @t152))) % 0.37/0.70 (step @p222 :rule chain_m_resolution :premises (@p221 @p213) :args (@t140 @t153 @t154)) % 0.37/0.70 (step @p223 :rule refl :args (@t149)) % 0.37/0.70 (step @p224 :rule bool-double-not-elim :args (@t142)) % 0.37/0.70 (step @p225 :rule refl :args (@t144)) % 0.37/0.70 (step @p226 :rule nary_cong :premises (@p225 @p224 @p223) :args ((or @t144 (not @t143) @t149))) % 0.37/0.70 (step @p227 :rule cnf_and_neg :args (@t144)) % 0.37/0.70 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 0.37/0.70 (step @p229 :rule reordering :premises (@p228) :args ((or @t149 @t142 @t144))) % 0.37/0.70 (step @p230 :rule chain_m_resolution :premises (@p229 @p222 @p215) :args (@t142 (@list false true) (@list @t140 @t144))) % 0.37/0.70 (step @p231 :rule true_intro :premises (@p230)) % 0.37/0.70 (step @p232 :rule aci_norm :args ((= @t160 @t158))) % 0.37/0.70 (step @p233 :rule cong :premises (@p232) :args (@t162)) % 0.37/0.70 (step @p234 :rule quant-merge-prenex :args ((= (forall @t9 @t164) @t162))) % 0.37/0.70 (step @p235 :rule alpha_equiv :args (@t165 (@list @t155) @t105)) % 0.37/0.70 (step @p236 :rule nary_cong :premises (@p103 @p235) :args (@t166)) % 0.37/0.70 (step @p237 :rule quant-miniscope-or :args ((= @t164 @t166))) % 0.37/0.70 (step @p238 :rule trans :premises (@p237 @p236)) % 0.37/0.70 (step @p239 :rule symm :premises (@p238)) % 0.37/0.70 (step @p240 :rule cong :premises (@p239) :args ((forall @t9 (or @t96 @t167)))) % 0.37/0.70 (step @p241 :rule trans :premises (@p240 @p234)) % 0.37/0.70 (step @p242 :rule trans :premises (@p241 @p233)) % 0.37/0.70 (step @p243 :rule bool-impl-elim :args (@t17 @t167)) % 0.37/0.70 (step @p244 :rule cong :premises (@p243) :args ((forall @t9 (=> @t17 @t167)))) % 0.37/0.70 (step @p245 :rule trans :premises (@p244 @p242)) % 0.37/0.70 (step @p246 :rule bool-impl-elim :args (@t22 @t5)) % 0.37/0.70 (step @p247 :rule cong :premises (@p246) :args (@t38)) % 0.37/0.70 (step @p248 :rule cong :premises (@p207 @p247) :args (@t39)) % 0.37/0.70 (step @p249 :rule cong :premises (@p248) :args (@t40)) % 0.37/0.70 (step @p250 :rule trans :premises (@p249 @p245)) % 0.37/0.70 (step @p251 :rule eq_resolve :premises (@p15 @p250)) % 0.37/0.70 (step @p252 :rule eq-symm :args (@t141 tptp.nil)) % 0.37/0.70 (step @p253 :rule cong :premises (@p252) :args (@t168)) % 0.37/0.70 (step @p254 :rule refl :args (@t147)) % 0.37/0.70 (step @p255 :rule cong :premises (@p254 @p253) :args (@t169)) % 0.37/0.70 (step @p256 :rule refl :args (@t170)) % 0.37/0.70 (step @p257 :rule refl :args (@t151)) % 0.37/0.70 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255) :args (@t171)) % 0.37/0.70 (step @p259 :rule refl :args (@t172)) % 0.37/0.70 (step @p260 :rule cong :premises (@p259 @p258) :args ((=> @t172 @t171))) % 0.37/0.70 (assume-push @p300 @t172) % 0.37/0.70 (step @p262 :rule instantiate :premises (@p251) :args ((@list @t141 tptp.nil))) % 0.37/0.70 (step-pop @p301 :rule scope :premises (@p262)) % 0.37/0.70 (step @p263 :rule process_scope :premises (@p301) :args (@t171)) % 0.37/0.70 (step @p265 :rule eq_resolve :premises (@p263 @p260)) % 0.37/0.70 (step @p266 :rule implies_elim :premises (@p265)) % 0.37/0.70 (step @p267 :rule chain_m_resolution :premises (@p266 @p251) :args (@t176 (@list false) (@list @t172))) % 0.37/0.70 (step @p268 :rule bool-double-not-elim :args (@t150)) % 0.37/0.70 (step @p269 :rule nary_cong :premises (@p217 @p268) :args ((or @t152 (not @t151)))) % 0.37/0.70 (step @p270 :rule cnf_or_neg :args (@t152 0)) % 0.37/0.70 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.37/0.70 (step @p272 :rule reordering :premises (@p271) :args ((or @t150 @t152))) % 0.37/0.70 (step @p273 :rule chain_m_resolution :premises (@p272 @p213) :args (@t150 @t153 @t154)) % 0.37/0.70 (step @p274 :rule cnf_or_pos :args (@t176)) % 0.37/0.70 (step @p275 :rule reordering :premises (@p274) :args ((or @t170 @t151 @t175 (not @t176)))) % 0.37/0.70 (step @p276 :rule chain_m_resolution :premises (@p275 @p17 @p273 @p267) :args (@t175 (@list false false false) (@list @t42 @t150 @t176))) % 0.37/0.70 (step @p277 :rule bool-double-not-elim :args (@t145)) % 0.37/0.70 (step @p278 :rule nary_cong :premises (@p217 @p277) :args ((or @t152 (not @t146)))) % 0.37/0.70 (step @p279 :rule cnf_or_neg :args (@t152 4)) % 0.37/0.70 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 0.37/0.70 (step @p281 :rule reordering :premises (@p280) :args ((or @t145 @t152))) % 0.37/0.70 (step @p282 :rule chain_m_resolution :premises (@p281 @p213) :args (@t145 @t153 @t154)) % 0.37/0.70 (step @p283 :rule cnf_or_neg :args (@t152 3)) % 0.37/0.70 (step @p284 :rule chain_m_resolution :premises (@p283 @p213) :args ((not @t148) @t153 @t154)) % 0.37/0.70 (step @p285 :rule cnf_and_neg :args (@t148)) % 0.37/0.70 (step @p286 :rule reordering :premises (@p285) :args ((or @t148 @t146 @t177))) % 0.37/0.70 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p282) :args (@t177 @t178 (@list @t148 @t145))) % 0.37/0.70 (step @p288 :rule bool-double-not-elim :args (@t173)) % 0.37/0.70 (step @p289 :rule refl :args (@t179)) % 0.37/0.70 (step @p290 :rule nary_cong :premises (@p289 @p254 @p288) :args ((or @t179 @t147 (not @t174)))) % 0.37/0.70 (step @p291 :rule cnf_equiv_pos2 :args (@t175)) % 0.37/0.70 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.37/0.70 (step @p293 :rule reordering :premises (@p292) :args ((or @t147 @t173 @t179))) % 0.37/0.70 (step @p294 :rule chain_m_resolution :premises (@p293 @p287 @p276) :args (@t173 @t178 (@list @t147 @t175))) % 0.37/0.70 (step @p295 :rule cong :premises (@p294) :args (@t59)) % 0.37/0.70 (step @p296 :rule false_intro :premises (@p39)) % 0.37/0.70 (step @p297 :rule symm :premises (@p296)) % 0.37/0.70 (step @p298 :rule trans :premises (@p297 @p295 @p231)) % 0.37/0.70 (step @p299 false :rule eq_resolve :premises (@p298 @p98)) % 0.37/0.70 ) % 0.37/0.70 % SZS output end Proof % 0.37/0.70 % cvc5 exiting %------------------------------------------------------------------------------