%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC020+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:57:43 AM UTC 2026 % Result : Theorem 0.50s 0.70s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC020+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 19:09:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.50/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.70 % SZS status Theorem % 0.50/0.70 % SZS output start Proof % 0.50/0.70 ( % 0.50/0.70 (declare-sort $$unsorted 0) % 0.50/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.nil $$unsorted) % 0.50/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.50/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.50/0.70 (define @t3 () (= @t2 @t1)) % 0.50/0.70 (define @t4 () (not @t3)) % 0.50/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.50/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.50/0.70 (define @t7 () (@list @t1)) % 0.50/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.50/0.70 (define @t9 () (@list @t2)) % 0.50/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.50/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.50/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.50/0.70 (define @t13 () (tptp.ssList @t10)) % 0.50/0.70 (define @t14 () (@list @t10)) % 0.50/0.70 (define @t15 () (tptp.ssList @t12)) % 0.50/0.70 (define @t16 () (@list @t12)) % 0.50/0.70 (define @t17 () (tptp.ssList @t2)) % 0.50/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.50/0.70 (define @t19 () (tptp.app @t1 @t12)) % 0.50/0.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.50/0.70 (define @t21 () (tptp.ssList @t1)) % 0.50/0.70 (define @t22 () (tptp.app @t12 @t1)) % 0.50/0.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.50/0.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.50/0.70 (define @t25 () (tptp.leq @t12 @t1)) % 0.50/0.70 (define @t26 () (tptp.leq @t1 @t12)) % 0.50/0.70 (define @t27 () (@var "Z" $$unsorted)) % 0.50/0.70 (define @t28 () (@var "Y" $$unsorted)) % 0.50/0.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.50/0.70 (define @t30 () (tptp.ssList @t27)) % 0.50/0.70 (define @t31 () (@list @t27)) % 0.50/0.70 (define @t32 () (tptp.ssList @t28)) % 0.50/0.70 (define @t33 () (@list @t28)) % 0.50/0.70 (define @t34 () (tptp.ssItem @t12)) % 0.50/0.70 (define @t35 () (tptp.lt @t1 @t12)) % 0.50/0.70 (define @t36 () (= @t1 @t12)) % 0.50/0.70 (define @t37 () (tptp.cons @t1 @t2)) % 0.50/0.70 (define @t38 () (= @t1 @t2)) % 0.50/0.70 (define @t39 () (tptp.cons @t12 @t1)) % 0.50/0.70 (define @t40 () (= tptp.nil @t2)) % 0.50/0.70 (define @t41 () (tptp.hd @t2)) % 0.50/0.70 (define @t42 () (not @t40)) % 0.50/0.70 (define @t43 () (tptp.tl @t2)) % 0.50/0.70 (define @t44 () (tptp.app @t2 @t1)) % 0.50/0.70 (define @t45 () (tptp.app @t1 @t2)) % 0.50/0.70 (define @t46 () (tptp.leq @t1 @t2)) % 0.50/0.70 (define @t47 () (tptp.leq @t2 @t1)) % 0.50/0.70 (define @t48 () (tptp.geq @t2 @t1)) % 0.50/0.70 (define @t49 () (tptp.lt @t1 @t2)) % 0.50/0.70 (define @t50 () (tptp.lt @t2 @t1)) % 0.50/0.70 (define @t51 () (tptp.lt @t2 @t12)) % 0.50/0.70 (define @t52 () (tptp.gt @t2 @t1)) % 0.50/0.70 (define @t53 () (tptp.memberP @t12 @t2)) % 0.50/0.70 (define @t54 () (tptp.frontsegP @t1 @t12)) % 0.50/0.70 (define @t55 () (tptp.frontsegP @t1 @t2)) % 0.50/0.70 (define @t56 () (tptp.frontsegP @t2 @t2)) % 0.50/0.70 (define @t57 () (forall @t9 (=> @t17 @t56))) % 0.50/0.70 (define @t58 () (tptp.app @t12 @t2)) % 0.50/0.70 (define @t59 () (tptp.cons @t2 tptp.nil)) % 0.50/0.70 (define @t60 () (tptp.hd @t1)) % 0.50/0.70 (define @t61 () (= tptp.nil @t1)) % 0.50/0.70 (define @t62 () (not @t61)) % 0.50/0.70 (define @t63 () (tptp.cons @t2 @t1)) % 0.50/0.70 (define @t64 () (= @t12 @t2)) % 0.50/0.70 (define @t65 () (and @t61 @t40)) % 0.50/0.70 (define @t66 () (not (tptp.neq @t12 tptp.nil))) % 0.50/0.70 (define @t67 () (or @t66 (not (tptp.frontsegP @t10 @t12)))) % 0.50/0.70 (define @t68 () (not (= tptp.nil @t12))) % 0.50/0.70 (define @t69 () (not (= tptp.nil @t10))) % 0.50/0.70 (define @t70 () (or @t69 @t68)) % 0.50/0.70 (define @t71 () (and @t70 @t67)) % 0.50/0.70 (define @t72 () (tptp.frontsegP @t2 @t28)) % 0.50/0.70 (define @t73 () (tptp.frontsegP @t1 @t28)) % 0.50/0.70 (define @t74 () (tptp.neq @t28 tptp.nil)) % 0.50/0.70 (define @t75 () (and @t32 @t74 @t73 @t72)) % 0.50/0.70 (define @t76 () (exists @t33 @t75)) % 0.50/0.70 (define @t77 () (not (= @t2 @t12))) % 0.50/0.70 (define @t78 () (not (= @t1 @t10))) % 0.50/0.70 (define @t79 () (or @t78 @t77 @t76 @t65 @t71)) % 0.50/0.70 (define @t80 () (=> @t13 @t79)) % 0.50/0.70 (define @t81 () (forall @t14 @t80)) % 0.50/0.70 (define @t82 () (=> @t15 @t81)) % 0.50/0.70 (define @t83 () (forall @t16 @t82)) % 0.50/0.70 (define @t84 () (=> @t21 @t83)) % 0.50/0.70 (define @t85 () (forall @t7 @t84)) % 0.50/0.70 (define @t86 () (=> @t17 @t85)) % 0.50/0.70 (define @t87 () (forall @t9 @t86)) % 0.50/0.70 (define @t88 () (not @t87)) % 0.50/0.70 (define @t89 () (@var "BOUND_VARIABLE_10986" $$unsorted)) % 0.50/0.70 (define @t90 () (not (tptp.neq @t2 tptp.nil))) % 0.50/0.70 (define @t91 () (or @t90 (not (tptp.frontsegP @t89 @t2)))) % 0.50/0.70 (define @t92 () (= @t2 tptp.nil)) % 0.50/0.70 (define @t93 () (not @t92)) % 0.50/0.70 (define @t94 () (= @t89 tptp.nil)) % 0.50/0.70 (define @t95 () (not @t94)) % 0.50/0.70 (define @t96 () (or @t95 @t93)) % 0.50/0.70 (define @t97 () (and @t96 @t91)) % 0.50/0.70 (define @t98 () (and @t94 @t92)) % 0.50/0.70 (define @t99 () (not @t72)) % 0.50/0.70 (define @t100 () (not @t74)) % 0.50/0.70 (define @t101 () (not @t32)) % 0.50/0.70 (define @t102 () (not (forall @t33 (or @t101 @t100 (not (tptp.frontsegP @t89 @t28)) @t99)))) % 0.50/0.70 (define @t103 () (not (tptp.ssList @t89))) % 0.50/0.70 (define @t104 () (not @t17)) % 0.50/0.70 (define @t105 () (or @t104 @t103 @t102 @t98 @t97)) % 0.50/0.70 (define @t106 () (or @t103 @t102 @t98 @t97)) % 0.50/0.70 (define @t107 () (or @t104 @t106)) % 0.50/0.70 (define @t108 () (@list @t2 @t89)) % 0.50/0.70 (define @t109 () (forall @t108 @t107)) % 0.50/0.70 (define @t110 () (@list @t89)) % 0.50/0.70 (define @t111 () (forall @t110 @t107)) % 0.50/0.70 (define @t112 () (forall @t110 @t106)) % 0.50/0.70 (define @t113 () (or @t104 @t112)) % 0.50/0.70 (define @t114 () (= @t1 tptp.nil)) % 0.50/0.70 (define @t115 () (not @t114)) % 0.50/0.70 (define @t116 () (and (or @t115 @t93) (or @t90 (not @t55)))) % 0.50/0.70 (define @t117 () (and @t114 @t92)) % 0.50/0.70 (define @t118 () (not @t73)) % 0.50/0.70 (define @t119 () (or @t101 @t100 @t118 @t99)) % 0.50/0.70 (define @t120 () (not (forall @t33 @t119))) % 0.50/0.70 (define @t121 () (not @t21)) % 0.50/0.70 (define @t122 () (or @t121 @t120 @t117 @t116)) % 0.50/0.70 (define @t123 () (or @t104 (forall @t7 @t122))) % 0.50/0.70 (define @t124 () (or @t104 @t122)) % 0.50/0.70 (define @t125 () (or @t121 @t120 @t117 @t104 @t116)) % 0.50/0.70 (define @t126 () (or @t120 @t117 @t121 @t104 @t116)) % 0.50/0.70 (define @t127 () (or @t104 @t116)) % 0.50/0.70 (define @t128 () (not (= @t2 @t2))) % 0.50/0.70 (define @t129 () (or @t104 @t128 @t116)) % 0.50/0.70 (define @t130 () (not (= @t12 tptp.nil))) % 0.50/0.70 (define @t131 () (and (or @t115 @t130) (or @t66 (not @t54)))) % 0.50/0.70 (define @t132 () (not @t15)) % 0.50/0.70 (define @t133 () (or @t77 @t132 @t77 @t131)) % 0.50/0.70 (define @t134 () (or @t132 @t77 @t131)) % 0.50/0.70 (define @t135 () (forall @t16 @t134)) % 0.50/0.70 (define @t136 () (or @t120 @t117 @t121 @t135)) % 0.50/0.70 (define @t137 () (or @t120 @t117 @t121 @t134)) % 0.50/0.70 (define @t138 () (or @t132 @t77 @t120 @t117 @t121 @t131)) % 0.50/0.70 (define @t139 () (or @t77 @t120 @t117 @t121 @t131)) % 0.50/0.70 (define @t140 () (or @t121 @t131)) % 0.50/0.70 (define @t141 () (not (= @t1 @t1))) % 0.50/0.70 (define @t142 () (or @t121 @t141 @t131)) % 0.50/0.70 (define @t143 () (and (or (not (= @t10 tptp.nil)) @t130) @t67)) % 0.50/0.70 (define @t144 () (not @t13)) % 0.50/0.70 (define @t145 () (or @t78 @t144 @t78 @t143)) % 0.50/0.70 (define @t146 () (or @t144 @t78 @t143)) % 0.50/0.70 (define @t147 () (forall @t14 @t146)) % 0.50/0.70 (define @t148 () (or @t77 @t120 @t117 @t147)) % 0.50/0.70 (define @t149 () (or @t77 @t120 @t117 @t146)) % 0.50/0.70 (define @t150 () (or @t144 @t78 @t77 @t120 @t117 @t143)) % 0.50/0.70 (define @t151 () (or @t78 @t77 @t120 @t117 @t143)) % 0.50/0.70 (define @t152 () (forall @t33 (not @t75))) % 0.50/0.70 (define @t153 () (not @t152)) % 0.50/0.70 (define @t154 () (= tptp.nil @t89)) % 0.50/0.70 (define @t155 () (forall @t108 (or @t104 @t103 @t102 (and @t154 @t92) (and (or (not @t154) @t93) @t91)))) % 0.50/0.70 (define @t156 () (@quantifiers_skolemize @t155 0)) % 0.50/0.70 (define @t157 () (@quantifiers_skolemize @t155 1)) % 0.50/0.70 (define @t158 () (tptp.frontsegP @t157 @t156)) % 0.50/0.70 (define @t159 () (not @t158)) % 0.50/0.70 (define @t160 () (tptp.neq @t156 tptp.nil)) % 0.50/0.70 (define @t161 () (not @t160)) % 0.50/0.70 (define @t162 () (or @t161 @t159)) % 0.50/0.70 (define @t163 () (= tptp.nil @t156)) % 0.50/0.70 (define @t164 () (not @t163)) % 0.50/0.70 (define @t165 () (= tptp.nil @t157)) % 0.50/0.70 (define @t166 () (not @t165)) % 0.50/0.70 (define @t167 () (or @t166 @t164)) % 0.50/0.70 (define @t168 () (and @t167 @t162)) % 0.50/0.70 (define @t169 () (and @t165 @t163)) % 0.50/0.70 (define @t170 () (forall @t33 (or @t101 @t100 (not (tptp.frontsegP @t157 @t28)) (not (tptp.frontsegP @t156 @t28))))) % 0.50/0.70 (define @t171 () (not @t170)) % 0.50/0.70 (define @t172 () (not (tptp.ssList @t157))) % 0.50/0.70 (define @t173 () (tptp.ssList @t156)) % 0.50/0.70 (define @t174 () (not @t173)) % 0.50/0.70 (define @t175 () (or @t174 @t172 @t171 @t169 @t168)) % 0.50/0.70 (define @t176 () (not @t175)) % 0.50/0.70 (define @t177 () (not @t155)) % 0.50/0.70 (define @t178 () (= @t156 tptp.nil)) % 0.50/0.70 (define @t179 () (not @t178)) % 0.50/0.70 (define @t180 () (or @t166 @t179)) % 0.50/0.70 (define @t181 () (and @t180 @t162)) % 0.50/0.70 (define @t182 () (and @t165 @t178)) % 0.50/0.70 (define @t183 () (or @t174 @t172 @t171 @t182 @t181)) % 0.50/0.70 (define @t184 () (not @t183)) % 0.50/0.70 (define @t185 () (@list true)) % 0.50/0.70 (define @t186 () (@list @t175)) % 0.50/0.70 (define @t187 () (@list @t156)) % 0.50/0.70 (define @t188 () (tptp.frontsegP @t156 @t156)) % 0.50/0.70 (define @t189 () (or @t174 @t188)) % 0.50/0.70 (define @t190 () (not @t188)) % 0.50/0.70 (define @t191 () (or @t174 @t161 @t159 @t190)) % 0.50/0.70 (define @t192 () (@list @t167)) % 0.50/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.50/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.50/0.70 (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))))))))))) % 0.50/0.70 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.50/0.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.50/0.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.50/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.50/0.70 (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))))))))))))))))) % 0.50/0.70 (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)))))))))))))))) % 0.50/0.70 (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))))))))))))))))) % 0.50/0.70 (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))))))))))))))) % 0.50/0.70 (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))))))))))))))) % 0.50/0.70 (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)))))))))))))))) % 0.50/0.70 (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))))))))))))) % 0.50/0.70 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.50/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.50/0.70 (assume @p17 (tptp.ssList tptp.nil)) % 0.50/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.50/0.70 (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) @t38))))))))))) % 0.50/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.50/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.50/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.50/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.50/0.70 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.50/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.50/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.50/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.50/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.50/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.50/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.50/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.50/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.50/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.50/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.50/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.50/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.50/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.50/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.50/0.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.50/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 @t54) (tptp.frontsegP @t2 @t12))))))))) % 0.50/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t55) @t3)))))) % 0.50/0.70 (assume @p42 @t57) % 0.50/0.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.50/0.70 (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)))))))))))) % 0.50/0.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.50/0.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.50/0.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.50/0.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.50/0.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.50/0.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t58 @t1))))))))) % 0.50/0.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.50/0.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.50/0.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.50/0.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.50/0.70 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.50/0.70 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t58 @t10) @t1))))))))))) % 0.50/0.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.50/0.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.50/0.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t59)))) % 0.50/0.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.50/0.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t59)))) % 0.50/0.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.50/0.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t59)))) % 0.50/0.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.50/0.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t59)))) % 0.50/0.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.50/0.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t63) (or @t61 (and @t62 (tptp.totalorderedP @t1) (tptp.leq @t2 @t60))))))))) % 0.50/0.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t59)))) % 0.50/0.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.50/0.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t63) (or @t61 (and @t62 (tptp.strictorderedP @t1) (tptp.lt @t2 @t60))))))))) % 0.50/0.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t59)))) % 0.50/0.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.50/0.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t59)))) % 0.50/0.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.50/0.70 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.50/0.70 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.50/0.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t62 @t42 (= @t60 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.50/0.70 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.50/0.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t64)))))))) % 0.50/0.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t64)))))))) % 0.50/0.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.50/0.70 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.50/0.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) @t65)))))) % 0.50/0.70 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.50/0.70 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.50/0.70 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.50/0.70 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.50/0.70 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.50/0.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.50/0.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.50/0.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.50/0.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.50/0.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.50/0.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.50/0.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.50/0.70 (assume @p96 @t88) % 0.50/0.70 (assume @p97 true) % 0.50/0.70 (step @p98 :rule refl :args (@t91)) % 0.50/0.70 (step @p99 :rule refl :args (@t93)) % 0.50/0.70 (step @p100 :rule eq-symm :args (@t89 tptp.nil)) % 0.50/0.70 (step @p101 :rule cong :premises (@p100) :args (@t95)) % 0.50/0.70 (step @p102 :rule nary_cong :premises (@p101 @p99) :args (@t96)) % 0.50/0.70 (step @p103 :rule nary_cong :premises (@p102 @p98) :args (@t97)) % 0.50/0.70 (step @p104 :rule refl :args (@t92)) % 0.50/0.70 (step @p105 :rule nary_cong :premises (@p100 @p104) :args (@t98)) % 0.50/0.70 (step @p106 :rule refl :args (@t102)) % 0.50/0.70 (step @p107 :rule refl :args (@t103)) % 0.50/0.70 (step @p108 :rule refl :args (@t104)) % 0.50/0.70 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p103) :args (@t105)) % 0.50/0.70 (step @p110 :rule aci_norm :args ((= @t107 @t105))) % 0.50/0.70 (step @p111 :rule trans :premises (@p110 @p109)) % 0.50/0.70 (step @p112 :rule cong :premises (@p111) :args (@t109)) % 0.50/0.70 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t111) @t109))) % 0.50/0.70 (step @p114 :rule alpha_equiv :args (@t112 (@list @t89) (@list @t1))) % 0.50/0.70 (step @p115 :rule refl :args (@t104)) % 0.50/0.70 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t113)) % 0.50/0.70 (step @p117 :rule quant-miniscope-or :args ((= @t111 @t113))) % 0.50/0.70 (step @p118 :rule trans :premises (@p117 @p116)) % 0.50/0.70 (step @p119 :rule symm :premises (@p118)) % 0.50/0.70 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t123))) % 0.50/0.70 (step @p121 :rule trans :premises (@p120 @p113)) % 0.50/0.70 (step @p122 :rule trans :premises (@p121 @p112)) % 0.50/0.70 (step @p123 :rule aci_norm :args ((= (or @t104 @t123) @t123))) % 0.50/0.70 (step @p124 :rule bool-impl-elim :args (@t17 @t123)) % 0.50/0.70 (step @p125 :rule trans :premises (@p124 @p123)) % 0.50/0.70 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t17 @t123)))) % 0.50/0.70 (step @p127 :rule trans :premises (@p126 @p122)) % 0.50/0.70 (step @p128 :rule quant-miniscope-or :args ((= (forall @t7 @t124) @t123))) % 0.50/0.70 (step @p129 :rule aci_norm :args ((= @t125 @t124))) % 0.50/0.70 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 @t125))) % 0.50/0.70 (step @p131 :rule trans :premises (@p130 @p128)) % 0.50/0.70 (step @p132 :rule aci_norm :args ((= (or @t121 @t126) @t125))) % 0.50/0.70 (step @p133 :rule bool-impl-elim :args (@t21 @t126)) % 0.50/0.70 (step @p134 :rule trans :premises (@p133 @p132)) % 0.50/0.70 (step @p135 :rule cong :premises (@p134) :args ((forall @t7 (=> @t21 @t126)))) % 0.50/0.70 (step @p136 :rule trans :premises (@p135 @p131)) % 0.50/0.70 (step @p137 :rule aci_norm :args ((= (or @t120 @t117 @t121 @t127) @t126))) % 0.50/0.70 (step @p138 :rule aci_norm :args ((= (or @t104 false @t116) @t127))) % 0.50/0.70 (step @p139 :rule refl :args (@t116)) % 0.50/0.70 (step @p140 :rule evaluate :args ((not true))) % 0.50/0.70 (step @p141 :rule eq-refl :args (@t2)) % 0.50/0.70 (step @p142 :rule cong :premises (@p141) :args (@t128)) % 0.50/0.70 (step @p143 :rule trans :premises (@p142 @p140)) % 0.50/0.70 (step @p144 :rule nary_cong :premises (@p108 @p143 @p139) :args (@t129)) % 0.50/0.70 (step @p145 :rule trans :premises (@p144 @p138)) % 0.50/0.70 (step @p146 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t64) @t132 @t77 @t131)) @t129))) % 0.50/0.70 (step @p147 :rule refl :args (@t131)) % 0.50/0.70 (step @p148 :rule refl :args (@t77)) % 0.50/0.70 (step @p149 :rule refl :args (@t132)) % 0.50/0.70 (step @p150 :rule eq-symm :args (@t2 @t12)) % 0.50/0.70 (step @p151 :rule cong :premises (@p150) :args (@t77)) % 0.50/0.70 (step @p152 :rule nary_cong :premises (@p151 @p149 @p148 @p147) :args (@t133)) % 0.50/0.70 (step @p153 :rule aci_norm :args ((= @t134 @t133))) % 0.50/0.70 (step @p154 :rule trans :premises (@p153 @p152)) % 0.50/0.70 (step @p155 :rule cong :premises (@p154) :args (@t135)) % 0.50/0.70 (step @p156 :rule trans :premises (@p155 @p146)) % 0.50/0.70 (step @p157 :rule trans :premises (@p156 @p145)) % 0.50/0.70 (step @p158 :rule refl :args (@t121)) % 0.50/0.70 (step @p159 :rule refl :args (@t117)) % 0.50/0.70 (step @p160 :rule refl :args (@t120)) % 0.50/0.70 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157) :args (@t136)) % 0.50/0.70 (step @p162 :rule trans :premises (@p161 @p137)) % 0.50/0.70 (step @p163 :rule quant-miniscope-or :args ((= (forall @t16 @t137) @t136))) % 0.50/0.70 (step @p164 :rule aci_norm :args ((= @t138 @t137))) % 0.50/0.70 (step @p165 :rule cong :premises (@p164) :args ((forall @t16 @t138))) % 0.50/0.70 (step @p166 :rule trans :premises (@p165 @p163)) % 0.50/0.70 (step @p167 :rule trans :premises (@p166 @p162)) % 0.50/0.70 (step @p168 :rule aci_norm :args ((= (or @t132 @t139) @t138))) % 0.50/0.70 (step @p169 :rule bool-impl-elim :args (@t15 @t139)) % 0.50/0.70 (step @p170 :rule trans :premises (@p169 @p168)) % 0.50/0.70 (step @p171 :rule cong :premises (@p170) :args ((forall @t16 (=> @t15 @t139)))) % 0.50/0.70 (step @p172 :rule trans :premises (@p171 @p167)) % 0.50/0.70 (step @p173 :rule aci_norm :args ((= (or @t77 @t120 @t117 @t140) @t139))) % 0.50/0.70 (step @p174 :rule aci_norm :args ((= (or @t121 false @t131) @t140))) % 0.50/0.70 (step @p175 :rule refl :args (@t131)) % 0.50/0.70 (step @p176 :rule eq-refl :args (@t1)) % 0.50/0.70 (step @p177 :rule cong :premises (@p176) :args (@t141)) % 0.50/0.70 (step @p178 :rule trans :premises (@p177 @p140)) % 0.50/0.70 (step @p179 :rule nary_cong :premises (@p158 @p178 @p175) :args (@t142)) % 0.50/0.70 (step @p180 :rule trans :premises (@p179 @p174)) % 0.50/0.70 (step @p181 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t144 @t78 @t143)) @t142))) % 0.50/0.70 (step @p182 :rule refl :args (@t143)) % 0.50/0.70 (step @p183 :rule refl :args (@t78)) % 0.50/0.70 (step @p184 :rule refl :args (@t144)) % 0.50/0.70 (step @p185 :rule eq-symm :args (@t1 @t10)) % 0.50/0.70 (step @p186 :rule cong :premises (@p185) :args (@t78)) % 0.50/0.70 (step @p187 :rule nary_cong :premises (@p186 @p184 @p183 @p182) :args (@t145)) % 0.50/0.70 (step @p188 :rule aci_norm :args ((= @t146 @t145))) % 0.50/0.70 (step @p189 :rule trans :premises (@p188 @p187)) % 0.50/0.70 (step @p190 :rule cong :premises (@p189) :args (@t147)) % 0.50/0.70 (step @p191 :rule trans :premises (@p190 @p181)) % 0.50/0.70 (step @p192 :rule trans :premises (@p191 @p180)) % 0.50/0.70 (step @p193 :rule refl :args (@t77)) % 0.50/0.70 (step @p194 :rule nary_cong :premises (@p193 @p160 @p159 @p192) :args (@t148)) % 0.50/0.70 (step @p195 :rule trans :premises (@p194 @p173)) % 0.50/0.70 (step @p196 :rule quant-miniscope-or :args ((= (forall @t14 @t149) @t148))) % 0.50/0.70 (step @p197 :rule aci_norm :args ((= @t150 @t149))) % 0.50/0.70 (step @p198 :rule cong :premises (@p197) :args ((forall @t14 @t150))) % 0.50/0.70 (step @p199 :rule trans :premises (@p198 @p196)) % 0.50/0.70 (step @p200 :rule trans :premises (@p199 @p195)) % 0.50/0.70 (step @p201 :rule aci_norm :args ((= (or @t144 @t151) @t150))) % 0.50/0.70 (step @p202 :rule bool-impl-elim :args (@t13 @t151)) % 0.50/0.70 (step @p203 :rule trans :premises (@p202 @p201)) % 0.50/0.70 (step @p204 :rule cong :premises (@p203) :args ((forall @t14 (=> @t13 @t151)))) % 0.50/0.70 (step @p205 :rule trans :premises (@p204 @p200)) % 0.50/0.70 (step @p206 :rule refl :args (@t67)) % 0.50/0.70 (step @p207 :rule eq-symm :args (tptp.nil @t12)) % 0.50/0.70 (step @p208 :rule cong :premises (@p207) :args (@t68)) % 0.50/0.70 (step @p209 :rule eq-symm :args (tptp.nil @t10)) % 0.50/0.70 (step @p210 :rule cong :premises (@p209) :args (@t69)) % 0.50/0.70 (step @p211 :rule nary_cong :premises (@p210 @p208) :args (@t70)) % 0.50/0.70 (step @p212 :rule nary_cong :premises (@p211 @p206) :args (@t71)) % 0.50/0.70 (step @p213 :rule eq-symm :args (tptp.nil @t2)) % 0.50/0.70 (step @p214 :rule eq-symm :args (tptp.nil @t1)) % 0.50/0.70 (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t65)) % 0.50/0.70 (step @p216 :rule aci_norm :args ((= (or @t101 (or @t100 (or @t118 @t99))) @t119))) % 0.50/0.70 (step @p217 :rule bool-and-de-morgan :args (@t73 @t72 true)) % 0.50/0.70 (step @p218 :rule refl :args (@t100)) % 0.50/0.70 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t100 (not (and @t73 @t72))))) % 0.50/0.70 (step @p220 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72))) % 0.50/0.70 (step @p221 :rule trans :premises (@p220 @p219)) % 0.50/0.70 (step @p222 :rule refl :args (@t101)) % 0.50/0.70 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t101 (not (and @t74 @t73 @t72))))) % 0.50/0.70 (step @p224 :rule bool-and-de-morgan :args (@t32 @t74 (and @t73 @t72))) % 0.50/0.70 (step @p225 :rule trans :premises (@p224 @p223)) % 0.50/0.70 (step @p226 :rule trans :premises (@p225 @p216)) % 0.50/0.70 (step @p227 :rule cong :premises (@p226) :args (@t152)) % 0.50/0.70 (step @p228 :rule cong :premises (@p227) :args (@t153)) % 0.50/0.70 (step @p229 :rule exists-elim :args ((= @t76 @t153))) % 0.50/0.70 (step @p230 :rule trans :premises (@p229 @p228)) % 0.50/0.70 (step @p231 :rule refl :args (@t78)) % 0.50/0.70 (step @p232 :rule nary_cong :premises (@p231 @p193 @p230 @p215 @p212) :args (@t79)) % 0.50/0.70 (step @p233 :rule refl :args (@t13)) % 0.50/0.70 (step @p234 :rule cong :premises (@p233 @p232) :args (@t80)) % 0.50/0.70 (step @p235 :rule cong :premises (@p234) :args (@t81)) % 0.50/0.70 (step @p236 :rule trans :premises (@p235 @p205)) % 0.50/0.70 (step @p237 :rule refl :args (@t15)) % 0.50/0.70 (step @p238 :rule cong :premises (@p237 @p236) :args (@t82)) % 0.50/0.70 (step @p239 :rule cong :premises (@p238) :args (@t83)) % 0.50/0.70 (step @p240 :rule trans :premises (@p239 @p172)) % 0.50/0.70 (step @p241 :rule refl :args (@t21)) % 0.50/0.70 (step @p242 :rule cong :premises (@p241 @p240) :args (@t84)) % 0.50/0.70 (step @p243 :rule cong :premises (@p242) :args (@t85)) % 0.50/0.70 (step @p244 :rule trans :premises (@p243 @p136)) % 0.50/0.70 (step @p245 :rule refl :args (@t17)) % 0.50/0.70 (step @p246 :rule cong :premises (@p245 @p244) :args (@t86)) % 0.50/0.70 (step @p247 :rule cong :premises (@p246) :args (@t87)) % 0.50/0.70 (step @p248 :rule trans :premises (@p247 @p127)) % 0.50/0.70 (step @p249 :rule cong :premises (@p248) :args (@t88)) % 0.50/0.70 (step @p250 :rule eq_resolve :premises (@p96 @p249)) % 0.50/0.70 (step @p251 :rule refl :args (@t176)) % 0.50/0.70 (step @p252 :rule bool-double-not-elim :args (@t155)) % 0.50/0.70 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or (not @t177) @t176))) % 0.50/0.70 (step @p254 :rule refl :args (@t162)) % 0.50/0.70 (step @p255 :rule eq-symm :args (@t156 tptp.nil)) % 0.50/0.70 (step @p256 :rule cong :premises (@p255) :args (@t179)) % 0.50/0.70 (step @p257 :rule refl :args (@t166)) % 0.50/0.70 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t180)) % 0.50/0.70 (step @p259 :rule nary_cong :premises (@p258 @p254) :args (@t181)) % 0.50/0.70 (step @p260 :rule refl :args (@t165)) % 0.50/0.70 (step @p261 :rule nary_cong :premises (@p260 @p255) :args (@t182)) % 0.50/0.70 (step @p262 :rule refl :args (@t171)) % 0.50/0.70 (step @p263 :rule refl :args (@t172)) % 0.50/0.70 (step @p264 :rule refl :args (@t174)) % 0.50/0.70 (step @p265 :rule nary_cong :premises (@p264 @p263 @p262 @p261 @p259) :args (@t183)) % 0.50/0.70 (step @p266 :rule cong :premises (@p265) :args (@t184)) % 0.50/0.70 (step @p267 :rule refl :args (@t177)) % 0.50/0.70 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t177 @t184))) % 0.50/0.70 (assume-push @p333 @t177) % 0.50/0.70 (step @p270 :rule skolemize :premises (@p250)) % 0.50/0.70 (step-pop @p334 :rule scope :premises (@p270)) % 0.50/0.70 (step @p271 :rule process_scope :premises (@p334) :args (@t184)) % 0.50/0.70 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 0.50/0.70 (step @p274 :rule implies_elim :premises (@p273)) % 0.50/0.70 (step @p275 :rule eq_resolve :premises (@p274 @p253)) % 0.50/0.70 (step @p276 :rule chain_m_resolution :premises (@p275 @p250) :args (@t176 @t185 (@list @t155))) % 0.50/0.70 (step @p277 :rule cnf_or_neg :args (@t175 3)) % 0.50/0.70 (step @p278 :rule chain_m_resolution :premises (@p277 @p276) :args ((not @t169) @t185 @t186)) % 0.50/0.70 (step @p279 :rule bool-double-not-elim :args (@t160)) % 0.50/0.70 (step @p280 :rule nary_cong :premises (@p254 @p279) :args ((or @t162 (not @t161)))) % 0.50/0.70 (step @p281 :rule cnf_or_neg :args (@t162 0)) % 0.50/0.71 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 0.50/0.71 (step @p283 :rule reordering :premises (@p282) :args ((or @t160 @t162))) % 0.50/0.71 (step @p284 :rule bool-double-not-elim :args (@t158)) % 0.50/0.71 (step @p285 :rule nary_cong :premises (@p254 @p284) :args ((or @t162 (not @t159)))) % 0.50/0.71 (step @p286 :rule cnf_or_neg :args (@t162 1)) % 0.50/0.71 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 0.50/0.71 (step @p288 :rule reordering :premises (@p287) :args ((or @t158 @t162))) % 0.50/0.71 (step @p289 :rule bool-double-not-elim :args (@t173)) % 0.50/0.71 (step @p290 :rule refl :args (@t175)) % 0.50/0.71 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t175 (not @t174)))) % 0.50/0.71 (step @p292 :rule cnf_or_neg :args (@t175 0)) % 0.50/0.71 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 0.50/0.71 (step @p294 :rule reordering :premises (@p293) :args ((or @t173 @t175))) % 0.50/0.71 (step @p295 :rule chain_m_resolution :premises (@p294 @p276) :args (@t173 @t185 @t186)) % 0.50/0.71 (step @p296 :rule bool-impl-elim :args (@t17 @t56)) % 0.50/0.71 (step @p297 :rule cong :premises (@p296) :args (@t57)) % 0.50/0.71 (step @p298 :rule eq_resolve :premises (@p42 @p297)) % 0.50/0.71 (step @p299 :rule instantiate :premises (@p298) :args (@t187)) % 0.50/0.71 (step @p300 :rule cnf_or_pos :args (@t189)) % 0.50/0.71 (step @p301 :rule reordering :premises (@p300) :args ((or @t174 @t188 (not @t189)))) % 0.50/0.71 (step @p302 :rule chain_m_resolution :premises (@p301 @p295 @p299) :args (@t188 (@list false false) (@list @t173 @t189))) % 0.50/0.71 (step @p303 :rule bool-double-not-elim :args (@t170)) % 0.50/0.71 (step @p304 :rule nary_cong :premises (@p290 @p303) :args ((or @t175 (not @t171)))) % 0.50/0.71 (step @p305 :rule cnf_or_neg :args (@t175 2)) % 0.50/0.71 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 0.50/0.71 (step @p307 :rule reordering :premises (@p306) :args ((or @t170 @t175))) % 0.50/0.71 (step @p308 :rule chain_m_resolution :premises (@p307 @p276) :args (@t170 @t185 @t186)) % 0.50/0.71 (step @p309 :rule instantiate :premises (@p308) :args (@t187)) % 0.50/0.71 (step @p310 :rule cnf_or_pos :args (@t191)) % 0.50/0.71 (step @p311 :rule reordering :premises (@p310) :args ((or @t174 @t161 @t159 @t190 (not @t191)))) % 0.50/0.71 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p302 @p295 @p288 @p283) :args (@t162 (@list false false false false false) (@list @t191 @t188 @t173 @t158 @t160))) % 0.50/0.71 (step @p313 :rule cnf_or_neg :args (@t175 4)) % 0.50/0.71 (step @p314 :rule chain_m_resolution :premises (@p313 @p276) :args ((not @t168) @t185 @t186)) % 0.50/0.71 (step @p315 :rule cnf_and_neg :args (@t168)) % 0.50/0.71 (step @p316 :rule chain_m_resolution :premises (@p315 @p314 @p312) :args ((not @t167) (@list true false) (@list @t168 @t162))) % 0.50/0.71 (step @p317 :rule bool-double-not-elim :args (@t165)) % 0.50/0.71 (step @p318 :rule refl :args (@t167)) % 0.50/0.71 (step @p319 :rule nary_cong :premises (@p318 @p317) :args ((or @t167 (not @t166)))) % 0.50/0.71 (step @p320 :rule cnf_or_neg :args (@t167 0)) % 0.50/0.71 (step @p321 :rule eq_resolve :premises (@p320 @p319)) % 0.50/0.71 (step @p322 :rule reordering :premises (@p321) :args ((or @t165 @t167))) % 0.50/0.71 (step @p323 :rule chain_m_resolution :premises (@p322 @p316) :args (@t165 @t185 @t192)) % 0.50/0.71 (step @p324 :rule bool-double-not-elim :args (@t163)) % 0.50/0.71 (step @p325 :rule nary_cong :premises (@p318 @p324) :args ((or @t167 (not @t164)))) % 0.50/0.71 (step @p326 :rule cnf_or_neg :args (@t167 1)) % 0.50/0.71 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 0.50/0.71 (step @p328 :rule reordering :premises (@p327) :args ((or @t163 @t167))) % 0.50/0.71 (step @p329 :rule chain_m_resolution :premises (@p328 @p316) :args (@t163 @t185 @t192)) % 0.50/0.71 (step @p330 :rule cnf_and_neg :args (@t169)) % 0.50/0.71 (step @p331 :rule reordering :premises (@p330) :args ((or @t166 @t169 @t164))) % 0.50/0.71 (step @p332 false :rule chain_m_resolution :premises (@p331 @p329 @p323 @p278) :args (false (@list false false true) (@list @t163 @t165 @t169))) % 0.50/0.71 ) % 0.50/0.71 % SZS output end Proof % 0.50/0.71 % cvc5 exiting %------------------------------------------------------------------------------