%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC352+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 : n008.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 08:58:58 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC352+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:43:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.nil $$unsorted) % 0.45/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (define @t1 () (@var "V" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.45/0.69 (define @t3 () (= @t2 @t1)) % 0.45/0.69 (define @t4 () (not @t3)) % 0.45/0.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.45/0.69 (define @t6 () (tptp.ssItem @t1)) % 0.45/0.69 (define @t7 () (@list @t1)) % 0.45/0.69 (define @t8 () (tptp.ssItem @t2)) % 0.45/0.69 (define @t9 () (@list @t2)) % 0.45/0.69 (define @t10 () (@var "X" $$unsorted)) % 0.45/0.69 (define @t11 () (tptp.cons @t1 @t10)) % 0.45/0.69 (define @t12 () (@var "W" $$unsorted)) % 0.45/0.69 (define @t13 () (tptp.ssList @t10)) % 0.45/0.69 (define @t14 () (@list @t10)) % 0.45/0.69 (define @t15 () (tptp.ssList @t12)) % 0.45/0.69 (define @t16 () (@list @t12)) % 0.45/0.69 (define @t17 () (tptp.ssList @t2)) % 0.45/0.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.45/0.69 (define @t19 () (tptp.app @t1 @t12)) % 0.45/0.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.45/0.69 (define @t21 () (tptp.ssList @t1)) % 0.45/0.69 (define @t22 () (tptp.app @t12 @t1)) % 0.45/0.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.45/0.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.45/0.69 (define @t25 () (tptp.leq @t12 @t1)) % 0.45/0.69 (define @t26 () (tptp.leq @t1 @t12)) % 0.45/0.69 (define @t27 () (@var "Z" $$unsorted)) % 0.45/0.69 (define @t28 () (@var "Y" $$unsorted)) % 0.45/0.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.45/0.69 (define @t30 () (tptp.ssList @t27)) % 0.45/0.69 (define @t31 () (@list @t27)) % 0.45/0.69 (define @t32 () (tptp.ssList @t28)) % 0.45/0.69 (define @t33 () (@list @t28)) % 0.45/0.69 (define @t34 () (tptp.ssItem @t12)) % 0.45/0.69 (define @t35 () (tptp.lt @t1 @t12)) % 0.45/0.69 (define @t36 () (= @t1 @t12)) % 0.45/0.69 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.45/0.69 (define @t38 () (=> @t17 @t37)) % 0.45/0.69 (define @t39 () (forall @t9 @t38)) % 0.45/0.69 (define @t40 () (tptp.cons @t1 @t2)) % 0.45/0.69 (define @t41 () (tptp.ssList tptp.nil)) % 0.45/0.69 (define @t42 () (= @t1 @t2)) % 0.45/0.69 (define @t43 () (tptp.cons @t12 @t1)) % 0.45/0.69 (define @t44 () (= tptp.nil @t2)) % 0.45/0.69 (define @t45 () (tptp.hd @t2)) % 0.45/0.69 (define @t46 () (not @t44)) % 0.45/0.69 (define @t47 () (tptp.tl @t2)) % 0.45/0.69 (define @t48 () (tptp.app @t2 @t1)) % 0.45/0.69 (define @t49 () (tptp.app @t1 @t2)) % 0.45/0.69 (define @t50 () (tptp.leq @t1 @t2)) % 0.45/0.69 (define @t51 () (tptp.leq @t2 @t1)) % 0.45/0.69 (define @t52 () (tptp.geq @t2 @t1)) % 0.45/0.69 (define @t53 () (tptp.lt @t1 @t2)) % 0.45/0.69 (define @t54 () (tptp.lt @t2 @t1)) % 0.45/0.69 (define @t55 () (tptp.lt @t2 @t12)) % 0.45/0.69 (define @t56 () (tptp.gt @t2 @t1)) % 0.45/0.69 (define @t57 () (tptp.memberP @t12 @t2)) % 0.45/0.69 (define @t58 () (tptp.frontsegP @t1 @t12)) % 0.45/0.69 (define @t59 () (tptp.frontsegP @t1 @t2)) % 0.45/0.69 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.45/0.69 (define @t61 () (=> @t17 (= @t60 @t44))) % 0.45/0.69 (define @t62 () (forall @t9 @t61)) % 0.45/0.69 (define @t63 () (tptp.app @t12 @t2)) % 0.45/0.69 (define @t64 () (tptp.cons @t2 tptp.nil)) % 0.45/0.69 (define @t65 () (tptp.hd @t1)) % 0.45/0.69 (define @t66 () (= tptp.nil @t1)) % 0.45/0.69 (define @t67 () (not @t66)) % 0.45/0.69 (define @t68 () (tptp.cons @t2 @t1)) % 0.45/0.69 (define @t69 () (= @t12 @t2)) % 0.45/0.69 (define @t70 () (not (tptp.neq @t12 tptp.nil))) % 0.45/0.69 (define @t71 () (and (tptp.neq @t10 tptp.nil) (or @t70 (not (tptp.frontsegP @t10 @t12))))) % 0.45/0.69 (define @t72 () (not (= tptp.nil @t12))) % 0.45/0.69 (define @t73 () (and @t72 (= tptp.nil @t10))) % 0.45/0.69 (define @t74 () (not (= @t2 @t12))) % 0.45/0.69 (define @t75 () (not (= @t1 @t10))) % 0.45/0.69 (define @t76 () (or @t75 @t74 @t59 @t73 @t71)) % 0.45/0.69 (define @t77 () (=> @t13 @t76)) % 0.45/0.69 (define @t78 () (forall @t14 @t77)) % 0.45/0.69 (define @t79 () (=> @t15 @t78)) % 0.45/0.69 (define @t80 () (forall @t16 @t79)) % 0.45/0.69 (define @t81 () (=> @t21 @t80)) % 0.45/0.69 (define @t82 () (forall @t7 @t81)) % 0.45/0.69 (define @t83 () (=> @t17 @t82)) % 0.45/0.69 (define @t84 () (forall @t9 @t83)) % 0.45/0.69 (define @t85 () (not @t84)) % 0.45/0.69 (define @t86 () (@var "BOUND_VARIABLE_10971" $$unsorted)) % 0.45/0.69 (define @t87 () (tptp.frontsegP @t86 @t2)) % 0.45/0.69 (define @t88 () (not (tptp.neq @t2 tptp.nil))) % 0.45/0.69 (define @t89 () (and (tptp.neq @t86 tptp.nil) (or @t88 (not @t87)))) % 0.45/0.69 (define @t90 () (= @t2 tptp.nil)) % 0.45/0.69 (define @t91 () (not @t90)) % 0.45/0.69 (define @t92 () (and @t91 (= @t86 tptp.nil))) % 0.45/0.69 (define @t93 () (not (tptp.ssList @t86))) % 0.45/0.69 (define @t94 () (not @t17)) % 0.45/0.69 (define @t95 () (or @t94 @t93 @t87 @t92 @t89)) % 0.45/0.69 (define @t96 () (or @t93 @t87 @t92 @t89)) % 0.45/0.69 (define @t97 () (or @t94 @t96)) % 0.45/0.69 (define @t98 () (@list @t2 @t86)) % 0.45/0.69 (define @t99 () (forall @t98 @t97)) % 0.45/0.69 (define @t100 () (@list @t86)) % 0.45/0.69 (define @t101 () (forall @t100 @t97)) % 0.45/0.69 (define @t102 () (forall @t100 @t96)) % 0.45/0.69 (define @t103 () (@list @t1)) % 0.45/0.69 (define @t104 () (or @t94 @t102)) % 0.45/0.69 (define @t105 () (tptp.neq @t1 tptp.nil)) % 0.45/0.69 (define @t106 () (and @t105 (or @t88 (not @t59)))) % 0.45/0.69 (define @t107 () (= @t1 tptp.nil)) % 0.45/0.69 (define @t108 () (and @t91 @t107)) % 0.45/0.69 (define @t109 () (not @t21)) % 0.45/0.69 (define @t110 () (or @t109 @t59 @t108 @t106)) % 0.45/0.69 (define @t111 () (or @t94 (forall @t7 @t110))) % 0.45/0.69 (define @t112 () (or @t94 @t110)) % 0.45/0.69 (define @t113 () (or @t109 @t59 @t94 @t108 @t106)) % 0.45/0.69 (define @t114 () (or @t59 @t109 @t94 @t108 @t106)) % 0.45/0.69 (define @t115 () (or @t94 @t108 @t106)) % 0.45/0.69 (define @t116 () (not (= @t2 @t2))) % 0.45/0.69 (define @t117 () (or @t94 @t116 @t108 @t106)) % 0.45/0.69 (define @t118 () (and @t105 (or @t70 (not @t58)))) % 0.45/0.69 (define @t119 () (not (= @t12 tptp.nil))) % 0.45/0.69 (define @t120 () (and @t119 @t107)) % 0.45/0.69 (define @t121 () (not @t15)) % 0.45/0.69 (define @t122 () (or @t74 @t121 @t74 @t120 @t118)) % 0.45/0.69 (define @t123 () (or @t121 @t74 @t120 @t118)) % 0.45/0.69 (define @t124 () (forall @t16 @t123)) % 0.45/0.69 (define @t125 () (or @t59 @t109 @t124)) % 0.45/0.69 (define @t126 () (or @t59 @t109 @t123)) % 0.45/0.69 (define @t127 () (or @t121 @t74 @t59 @t109 @t120 @t118)) % 0.45/0.69 (define @t128 () (or @t74 @t59 @t109 @t120 @t118)) % 0.45/0.69 (define @t129 () (or @t109 @t120 @t118)) % 0.45/0.69 (define @t130 () (not (= @t1 @t1))) % 0.45/0.69 (define @t131 () (or @t109 @t130 @t120 @t118)) % 0.45/0.69 (define @t132 () (and @t119 (= @t10 tptp.nil))) % 0.45/0.69 (define @t133 () (not @t13)) % 0.45/0.69 (define @t134 () (or @t75 @t133 @t75 @t132 @t71)) % 0.45/0.69 (define @t135 () (or @t133 @t75 @t132 @t71)) % 0.45/0.69 (define @t136 () (forall @t14 @t135)) % 0.45/0.69 (define @t137 () (or @t74 @t59 @t136)) % 0.45/0.69 (define @t138 () (or @t74 @t59 @t135)) % 0.45/0.69 (define @t139 () (or @t133 @t75 @t74 @t59 @t132 @t71)) % 0.45/0.69 (define @t140 () (or @t75 @t74 @t59 @t132 @t71)) % 0.45/0.69 (define @t141 () (forall @t98 (or @t94 @t93 @t87 (and @t91 (= tptp.nil @t86)) @t89))) % 0.45/0.69 (define @t142 () (@quantifiers_skolemize @t141 0)) % 0.45/0.69 (define @t143 () (@quantifiers_skolemize @t141 1)) % 0.45/0.69 (define @t144 () (tptp.frontsegP @t143 @t142)) % 0.45/0.69 (define @t145 () (not @t144)) % 0.45/0.69 (define @t146 () (or (not (tptp.neq @t142 tptp.nil)) @t145)) % 0.45/0.69 (define @t147 () (tptp.neq @t143 tptp.nil)) % 0.45/0.69 (define @t148 () (and @t147 @t146)) % 0.45/0.69 (define @t149 () (= tptp.nil @t143)) % 0.45/0.69 (define @t150 () (= tptp.nil @t142)) % 0.45/0.69 (define @t151 () (not @t150)) % 0.45/0.69 (define @t152 () (and @t151 @t149)) % 0.45/0.69 (define @t153 () (tptp.ssList @t143)) % 0.45/0.69 (define @t154 () (not @t153)) % 0.45/0.69 (define @t155 () (tptp.ssList @t142)) % 0.45/0.69 (define @t156 () (not @t155)) % 0.45/0.69 (define @t157 () (or @t156 @t154 @t144 @t152 @t148)) % 0.45/0.69 (define @t158 () (not @t157)) % 0.45/0.69 (define @t159 () (not @t141)) % 0.45/0.69 (define @t160 () (= @t142 tptp.nil)) % 0.45/0.69 (define @t161 () (not @t160)) % 0.45/0.69 (define @t162 () (and @t161 @t149)) % 0.45/0.69 (define @t163 () (or @t156 @t154 @t144 @t162 @t148)) % 0.45/0.69 (define @t164 () (not @t163)) % 0.45/0.69 (define @t165 () (@list true)) % 0.45/0.69 (define @t166 () (@list @t157)) % 0.45/0.69 (define @t167 () (@var "BOUND_VARIABLE_9098" $$unsorted)) % 0.45/0.69 (define @t168 () (= (tptp.neq @t2 @t167) (not (= @t2 @t167)))) % 0.45/0.69 (define @t169 () (not (tptp.ssList @t167))) % 0.45/0.69 (define @t170 () (or @t94 @t169 @t168)) % 0.45/0.69 (define @t171 () (or @t169 @t168)) % 0.45/0.69 (define @t172 () (or @t94 @t171)) % 0.45/0.69 (define @t173 () (@list @t2 @t167)) % 0.45/0.69 (define @t174 () (forall @t173 @t172)) % 0.45/0.69 (define @t175 () (@list @t167)) % 0.45/0.69 (define @t176 () (forall @t175 @t172)) % 0.45/0.69 (define @t177 () (forall @t175 @t171)) % 0.45/0.69 (define @t178 () (or @t94 @t177)) % 0.45/0.69 (define @t179 () (forall @t7 (or @t109 @t5))) % 0.45/0.69 (define @t180 () (not (= @t143 tptp.nil))) % 0.45/0.69 (define @t181 () (= @t147 @t180)) % 0.45/0.69 (define @t182 () (not @t41)) % 0.45/0.69 (define @t183 () (or @t154 @t182 @t181)) % 0.45/0.69 (define @t184 () (forall @t173 @t170)) % 0.45/0.69 (define @t185 () (not @t149)) % 0.45/0.69 (define @t186 () (= @t147 @t185)) % 0.45/0.69 (define @t187 () (or @t154 @t182 @t186)) % 0.45/0.69 (define @t188 () (@list false)) % 0.45/0.69 (define @t189 () (not @t145)) % 0.45/0.69 (define @t190 () (@list true false)) % 0.45/0.69 (define @t191 () (not @t186)) % 0.45/0.69 (define @t192 () (= @t60 @t90)) % 0.45/0.69 (define @t193 () (tptp.frontsegP tptp.nil @t142)) % 0.45/0.69 (define @t194 () (or @t156 (= @t193 @t160))) % 0.45/0.69 (define @t195 () (forall @t9 (or @t94 @t192))) % 0.45/0.69 (define @t196 () (= @t150 @t193)) % 0.45/0.69 (define @t197 () (or @t156 @t196)) % 0.45/0.69 (define @t198 () (@list false false)) % 0.45/0.69 (define @t199 () (not @t193)) % 0.45/0.69 (define @t200 () (and @t149 @t145)) % 0.45/0.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.45/0.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.45/0.69 (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))))))))))) % 0.45/0.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.45/0.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.45/0.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.45/0.69 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.45/0.69 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.45/0.69 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.45/0.69 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.45/0.69 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.45/0.69 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.45/0.69 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.45/0.69 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.45/0.69 (assume @p15 @t39) % 0.45/0.69 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.45/0.69 (assume @p17 @t41) % 0.45/0.69 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.45/0.69 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t42))))))))))) % 0.45/0.69 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 0.45/0.69 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.45/0.69 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 0.45/0.69 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.45/0.69 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 0.45/0.69 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.45/0.69 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 0.45/0.69 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 0.45/0.69 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.45/0.69 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3)))))) % 0.45/0.69 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12))))))))) % 0.45/0.69 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.45/0.69 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50)))))) % 0.45/0.69 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53))))))) % 0.45/0.69 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55)))))))) % 0.45/0.69 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53)))))) % 0.45/0.69 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57))))))))) % 0.45/0.69 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57))))))))) % 0.45/0.69 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.45/0.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.45/0.69 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 @t58) (tptp.frontsegP @t2 @t12))))))))) % 0.45/0.69 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t59) @t3)))))) % 0.45/0.69 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.45/0.69 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.45/0.69 (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)))))))))))) % 0.45/0.69 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.45/0.69 (assume @p46 @t62) % 0.45/0.69 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.45/0.69 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.45/0.69 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.45/0.69 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t63 @t1))))))))) % 0.45/0.69 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.45/0.69 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 0.45/0.69 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.45/0.69 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.45/0.69 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.45/0.69 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t63 @t10) @t1))))))))))) % 0.45/0.69 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.45/0.69 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 0.45/0.69 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t64)))) % 0.45/0.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.45/0.69 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t64)))) % 0.45/0.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.45/0.69 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t64)))) % 0.45/0.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.45/0.69 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t64)))) % 0.45/0.69 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.45/0.69 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t68) (or @t66 (and @t67 (tptp.totalorderedP @t1) (tptp.leq @t2 @t65))))))))) % 0.45/0.69 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t64)))) % 0.45/0.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.45/0.69 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t68) (or @t66 (and @t67 (tptp.strictorderedP @t1) (tptp.lt @t2 @t65))))))))) % 0.45/0.69 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t64)))) % 0.45/0.69 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.45/0.69 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t64)))) % 0.45/0.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.45/0.69 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 0.45/0.69 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 0.45/0.69 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t67 @t46 (= @t65 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 0.45/0.69 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 0.45/0.69 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t69)))))))) % 0.45/0.69 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t49) @t69)))))))) % 0.45/0.69 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.45/0.69 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))))))))) % 0.45/0.69 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t48) (and @t66 @t44))))))) % 0.45/0.69 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.45/0.69 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 0.45/0.69 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 0.45/0.69 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 (tptp.geq @t1 @t2)) @t3)))))) % 0.45/0.69 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.45/0.69 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.45/0.69 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.45/0.69 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55)))))))) % 0.45/0.69 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54))))))) % 0.45/0.69 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51))))))) % 0.45/0.69 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2)))))))) % 0.45/0.69 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.45/0.69 (assume @p96 @t85) % 0.45/0.69 (assume @p97 true) % 0.45/0.69 (step @p98 :rule refl :args (@t89)) % 0.45/0.69 (step @p99 :rule eq-symm :args (@t86 tptp.nil)) % 0.45/0.69 (step @p100 :rule refl :args (@t91)) % 0.45/0.69 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t92)) % 0.45/0.69 (step @p102 :rule refl :args (@t87)) % 0.45/0.69 (step @p103 :rule refl :args (@t93)) % 0.45/0.69 (step @p104 :rule refl :args (@t94)) % 0.45/0.69 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p98) :args (@t95)) % 0.45/0.69 (step @p106 :rule aci_norm :args ((= @t97 @t95))) % 0.45/0.69 (step @p107 :rule trans :premises (@p106 @p105)) % 0.45/0.69 (step @p108 :rule cong :premises (@p107) :args (@t99)) % 0.45/0.69 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t101) @t99))) % 0.45/0.69 (step @p110 :rule alpha_equiv :args (@t102 (@list @t86) @t103)) % 0.45/0.69 (step @p111 :rule refl :args (@t94)) % 0.45/0.69 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t104)) % 0.45/0.69 (step @p113 :rule quant-miniscope-or :args ((= @t101 @t104))) % 0.45/0.69 (step @p114 :rule trans :premises (@p113 @p112)) % 0.45/0.69 (step @p115 :rule symm :premises (@p114)) % 0.45/0.69 (step @p116 :rule cong :premises (@p115) :args ((forall @t9 @t111))) % 0.45/0.69 (step @p117 :rule trans :premises (@p116 @p109)) % 0.45/0.69 (step @p118 :rule trans :premises (@p117 @p108)) % 0.45/0.69 (step @p119 :rule aci_norm :args ((= (or @t94 @t111) @t111))) % 0.45/0.69 (step @p120 :rule bool-impl-elim :args (@t17 @t111)) % 0.45/0.69 (step @p121 :rule trans :premises (@p120 @p119)) % 0.45/0.69 (step @p122 :rule cong :premises (@p121) :args ((forall @t9 (=> @t17 @t111)))) % 0.45/0.69 (step @p123 :rule trans :premises (@p122 @p118)) % 0.45/0.69 (step @p124 :rule quant-miniscope-or :args ((= (forall @t7 @t112) @t111))) % 0.45/0.69 (step @p125 :rule aci_norm :args ((= @t113 @t112))) % 0.45/0.69 (step @p126 :rule cong :premises (@p125) :args ((forall @t7 @t113))) % 0.45/0.69 (step @p127 :rule trans :premises (@p126 @p124)) % 0.45/0.69 (step @p128 :rule aci_norm :args ((= (or @t109 @t114) @t113))) % 0.45/0.69 (step @p129 :rule bool-impl-elim :args (@t21 @t114)) % 0.45/0.69 (step @p130 :rule trans :premises (@p129 @p128)) % 0.45/0.69 (step @p131 :rule cong :premises (@p130) :args ((forall @t7 (=> @t21 @t114)))) % 0.45/0.69 (step @p132 :rule trans :premises (@p131 @p127)) % 0.45/0.69 (step @p133 :rule aci_norm :args ((= (or @t59 @t109 @t115) @t114))) % 0.45/0.69 (step @p134 :rule aci_norm :args ((= (or @t94 false @t108 @t106) @t115))) % 0.45/0.69 (step @p135 :rule refl :args (@t106)) % 0.45/0.69 (step @p136 :rule refl :args (@t108)) % 0.45/0.69 (step @p137 :rule evaluate :args ((not true))) % 0.45/0.69 (step @p138 :rule eq-refl :args (@t2)) % 0.45/0.69 (step @p139 :rule cong :premises (@p138) :args (@t116)) % 0.45/0.69 (step @p140 :rule trans :premises (@p139 @p137)) % 0.45/0.69 (step @p141 :rule nary_cong :premises (@p104 @p140 @p136 @p135) :args (@t117)) % 0.45/0.69 (step @p142 :rule trans :premises (@p141 @p134)) % 0.45/0.69 (step @p143 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t69) @t121 @t74 @t120 @t118)) @t117))) % 0.45/0.69 (step @p144 :rule refl :args (@t118)) % 0.45/0.69 (step @p145 :rule refl :args (@t120)) % 0.45/0.69 (step @p146 :rule refl :args (@t74)) % 0.45/0.69 (step @p147 :rule refl :args (@t121)) % 0.45/0.69 (step @p148 :rule eq-symm :args (@t2 @t12)) % 0.45/0.69 (step @p149 :rule cong :premises (@p148) :args (@t74)) % 0.45/0.69 (step @p150 :rule nary_cong :premises (@p149 @p147 @p146 @p145 @p144) :args (@t122)) % 0.45/0.69 (step @p151 :rule aci_norm :args ((= @t123 @t122))) % 0.45/0.69 (step @p152 :rule trans :premises (@p151 @p150)) % 0.45/0.69 (step @p153 :rule cong :premises (@p152) :args (@t124)) % 0.45/0.69 (step @p154 :rule trans :premises (@p153 @p143)) % 0.45/0.69 (step @p155 :rule trans :premises (@p154 @p142)) % 0.45/0.69 (step @p156 :rule refl :args (@t109)) % 0.45/0.69 (step @p157 :rule refl :args (@t59)) % 0.45/0.69 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155) :args (@t125)) % 0.45/0.69 (step @p159 :rule trans :premises (@p158 @p133)) % 0.45/0.69 (step @p160 :rule quant-miniscope-or :args ((= (forall @t16 @t126) @t125))) % 0.45/0.69 (step @p161 :rule aci_norm :args ((= @t127 @t126))) % 0.45/0.69 (step @p162 :rule cong :premises (@p161) :args ((forall @t16 @t127))) % 0.45/0.69 (step @p163 :rule trans :premises (@p162 @p160)) % 0.45/0.69 (step @p164 :rule trans :premises (@p163 @p159)) % 0.45/0.69 (step @p165 :rule aci_norm :args ((= (or @t121 @t128) @t127))) % 0.45/0.69 (step @p166 :rule bool-impl-elim :args (@t15 @t128)) % 0.45/0.69 (step @p167 :rule trans :premises (@p166 @p165)) % 0.45/0.69 (step @p168 :rule cong :premises (@p167) :args ((forall @t16 (=> @t15 @t128)))) % 0.45/0.69 (step @p169 :rule trans :premises (@p168 @p164)) % 0.45/0.69 (step @p170 :rule aci_norm :args ((= (or @t74 @t59 @t129) @t128))) % 0.45/0.69 (step @p171 :rule aci_norm :args ((= (or @t109 false @t120 @t118) @t129))) % 0.45/0.69 (step @p172 :rule refl :args (@t118)) % 0.45/0.69 (step @p173 :rule refl :args (@t120)) % 0.45/0.69 (step @p174 :rule eq-refl :args (@t1)) % 0.45/0.69 (step @p175 :rule cong :premises (@p174) :args (@t130)) % 0.45/0.69 (step @p176 :rule trans :premises (@p175 @p137)) % 0.45/0.69 (step @p177 :rule nary_cong :premises (@p156 @p176 @p173 @p172) :args (@t131)) % 0.45/0.69 (step @p178 :rule trans :premises (@p177 @p171)) % 0.45/0.69 (step @p179 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t133 @t75 @t132 @t71)) @t131))) % 0.45/0.69 (step @p180 :rule refl :args (@t71)) % 0.45/0.69 (step @p181 :rule refl :args (@t132)) % 0.45/0.69 (step @p182 :rule refl :args (@t75)) % 0.45/0.69 (step @p183 :rule refl :args (@t133)) % 0.45/0.69 (step @p184 :rule eq-symm :args (@t1 @t10)) % 0.45/0.69 (step @p185 :rule cong :premises (@p184) :args (@t75)) % 0.45/0.69 (step @p186 :rule nary_cong :premises (@p185 @p183 @p182 @p181 @p180) :args (@t134)) % 0.45/0.69 (step @p187 :rule aci_norm :args ((= @t135 @t134))) % 0.45/0.69 (step @p188 :rule trans :premises (@p187 @p186)) % 0.45/0.69 (step @p189 :rule cong :premises (@p188) :args (@t136)) % 0.45/0.69 (step @p190 :rule trans :premises (@p189 @p179)) % 0.45/0.69 (step @p191 :rule trans :premises (@p190 @p178)) % 0.45/0.69 (step @p192 :rule refl :args (@t74)) % 0.45/0.69 (step @p193 :rule nary_cong :premises (@p192 @p157 @p191) :args (@t137)) % 0.45/0.69 (step @p194 :rule trans :premises (@p193 @p170)) % 0.45/0.69 (step @p195 :rule quant-miniscope-or :args ((= (forall @t14 @t138) @t137))) % 0.45/0.69 (step @p196 :rule aci_norm :args ((= @t139 @t138))) % 0.45/0.69 (step @p197 :rule cong :premises (@p196) :args ((forall @t14 @t139))) % 0.45/0.69 (step @p198 :rule trans :premises (@p197 @p195)) % 0.45/0.69 (step @p199 :rule 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0.45/0.69 (step @p246 :rule skolemize :premises (@p229)) % 0.45/0.69 (step-pop @p387 :rule scope :premises (@p246)) % 0.45/0.69 (step @p247 :rule process_scope :premises (@p387) :args (@t164)) % 0.45/0.69 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 0.45/0.69 (step @p250 :rule implies_elim :premises (@p249)) % 0.45/0.69 (step @p251 :rule eq_resolve :premises (@p250 @p232)) % 0.45/0.69 (step @p252 :rule chain_m_resolution :premises (@p251 @p229) :args (@t158 @t165 (@list @t141))) % 0.45/0.69 (step @p253 :rule cnf_or_neg :args (@t157 2)) % 0.45/0.69 (step @p254 :rule reordering :premises (@p253) :args ((or @t145 @t157))) % 0.45/0.69 (step @p255 :rule chain_m_resolution :premises (@p254 @p252) :args (@t145 @t165 @t166)) % 0.45/0.69 (step @p256 :rule aci_norm :args ((= @t172 @t170))) % 0.45/0.69 (step @p257 :rule cong :premises (@p256) :args (@t174)) % 0.45/0.69 (step @p258 :rule quant-merge-prenex :args ((= (forall @t9 @t176) @t174))) % 0.45/0.69 (step @p259 :rule alpha_equiv 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0.45/0.69 (step @p301 :rule bool-double-not-elim :args (@t144)) % 0.45/0.69 (step @p302 :rule refl :args (@t146)) % 0.45/0.69 (step @p303 :rule nary_cong :premises (@p302 @p301) :args ((or @t146 @t189))) % 0.45/0.69 (step @p304 :rule cnf_or_neg :args (@t146 1)) % 0.45/0.69 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 0.45/0.69 (step @p306 :rule reordering :premises (@p305) :args ((or @t144 @t146))) % 0.45/0.69 (step @p307 :rule chain_m_resolution :premises (@p306 @p255) :args (@t146 @t165 (@list @t144))) % 0.45/0.69 (step @p308 :rule cnf_or_neg :args (@t157 4)) % 0.45/0.69 (step @p309 :rule chain_m_resolution :premises (@p308 @p252) :args ((not @t148) @t165 @t166)) % 0.45/0.69 (step @p310 :rule cnf_and_neg :args (@t148)) % 0.45/0.69 (step @p311 :rule chain_m_resolution :premises (@p310 @p309 @p307) :args ((not @t147) @t190 (@list @t148 @t146))) % 0.45/0.69 (step @p312 :rule bool-double-not-elim :args (@t149)) % 0.45/0.69 (step @p313 :rule refl :args (@t191)) % 0.45/0.69 (step @p314 :rule nary_cong :premises (@p313 @p278 @p312) :args ((or @t191 @t147 (not @t185)))) % 0.45/0.69 (step @p315 :rule cnf_equiv_pos2 :args (@t186)) % 0.45/0.69 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 0.45/0.69 (step @p317 :rule reordering :premises (@p316) :args ((or @t149 @t147 @t191))) % 0.45/0.69 (step @p318 :rule chain_m_resolution :premises (@p317 @p311 @p300) :args (@t149 @t190 (@list @t147 @t186))) % 0.45/0.69 (step @p319 :rule bool-impl-elim :args (@t17 @t192)) % 0.45/0.69 (step @p320 :rule cong :premises (@p319) :args ((forall @t9 (=> @t17 @t192)))) % 0.45/0.69 (step @p321 :rule eq-symm :args (@t90 @t60)) % 0.45/0.69 (step @p322 :rule refl :args (@t60)) % 0.45/0.69 (step @p323 :rule eq-symm :args (tptp.nil @t2)) % 0.45/0.69 (step @p324 :rule cong :premises (@p323 @p322) :args ((= @t44 @t60))) % 0.45/0.69 (step @p325 :rule trans :premises (@p324 @p321)) % 0.45/0.69 (step @p326 :rule eq-symm :args (@t60 @t44)) % 0.45/0.69 (step @p327 :rule trans :premises 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(@t194)) % 0.45/0.69 (step @p343 :rule eq_resolve :premises (@p341 @p338)) % 0.45/0.69 (step @p344 :rule implies_elim :premises (@p343)) % 0.45/0.69 (step @p345 :rule chain_m_resolution :premises (@p344 @p331) :args (@t197 @t188 (@list @t195))) % 0.45/0.69 (step @p346 :rule bool-double-not-elim :args (@t155)) % 0.45/0.69 (step @p347 :rule nary_cong :premises (@p292 @p346) :args ((or @t157 (not @t156)))) % 0.45/0.69 (step @p348 :rule cnf_or_neg :args (@t157 0)) % 0.45/0.69 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 0.45/0.69 (step @p350 :rule reordering :premises (@p349) :args ((or @t155 @t157))) % 0.45/0.69 (step @p351 :rule chain_m_resolution :premises (@p350 @p252) :args (@t155 @t165 @t166)) % 0.45/0.69 (step @p352 :rule cnf_or_pos :args (@t197)) % 0.45/0.69 (step @p353 :rule reordering :premises (@p352) :args ((or @t156 @t196 (not @t197)))) % 0.45/0.69 (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p345) :args (@t196 @t198 (@list @t155 @t197))) % 0.45/0.69 (step @p355 :rule cnf_or_neg :args (@t157 3)) % 0.45/0.69 (step @p356 :rule chain_m_resolution :premises (@p355 @p252) :args ((not @t152) @t165 @t166)) % 0.45/0.69 (step @p357 :rule refl :args (@t185)) % 0.45/0.69 (step @p358 :rule bool-double-not-elim :args (@t150)) % 0.45/0.69 (step @p359 :rule refl :args (@t152)) % 0.45/0.69 (step @p360 :rule nary_cong :premises (@p359 @p358 @p357) :args ((or @t152 (not @t151) @t185))) % 0.45/0.69 (step @p361 :rule cnf_and_neg :args (@t152)) % 0.45/0.69 (step @p362 :rule eq_resolve :premises (@p361 @p360)) % 0.45/0.69 (step @p363 :rule reordering :premises (@p362) :args ((or @t150 @t152 @t185))) % 0.45/0.69 (step @p364 :rule chain_m_resolution :premises (@p363 @p356 @p318) :args (@t150 @t190 (@list @t152 @t149))) % 0.45/0.69 (step @p365 :rule cnf_equiv_pos1 :args (@t196)) % 0.45/0.69 (step @p366 :rule reordering :premises (@p365) :args ((or @t151 @t193 (not @t196)))) % 0.45/0.69 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p354) :args (@t193 @t198 (@list @t150 @t196))) % 0.45/0.69 (step @p368 :rule refl :args (@t199)) % 0.45/0.69 (step @p369 :rule nary_cong :premises (@p357 @p301 @p368) :args ((or @t185 @t189 @t199))) % 0.45/0.69 (assume-push @p392 @t149) % 0.45/0.69 (assume-push @p393 @t145) % 0.45/0.69 (step @p372 :rule false_intro :premises (@p255)) % 0.45/0.69 (step @p373 :rule refl :args (@t142)) % 0.45/0.69 (step @p374 :rule cong :premises (@p318 @p373) :args (@t193)) % 0.45/0.69 (step @p375 :rule trans :premises (@p374 @p372)) % 0.45/0.69 (step @p376 :rule false_elim :premises (@p375)) % 0.45/0.69 (step-pop @p394 :rule scope :premises (@p376)) % 0.45/0.69 (step-pop @p395 :rule scope :premises (@p394)) % 0.45/0.69 (step @p377 :rule process_scope :premises (@p395) :args (@t199)) % 0.45/0.69 (step @p380 :rule implies_elim :premises (@p377)) % 0.45/0.69 (step @p381 :rule cnf_and_neg :args (@t200)) % 0.45/0.69 (step @p382 :rule resolution :premises (@p381 @p380) :args (true @t200)) % 0.45/0.69 (step @p383 :rule eq_resolve :premises (@p382 @p369)) % 0.45/0.69 (step @p384 :rule reordering :premises (@p383) :args ((or @t144 @t185 @t199))) % 0.45/0.69 (step @p385 false :rule chain_m_resolution :premises (@p384 @p367 @p318 @p255) :args (false (@list false false true) (@list @t193 @t149 @t144))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------