%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC365+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 : n004.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 08:59:02 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWC365+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.32 % Computer : n004.cluster.edu % 0.16/0.32 % Model : x86_64 x86_64 % 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.32 % Memory : 8042.1875MB % 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.32 % CPULimit : 300 % 0.16/0.32 % WCLimit : 300 % 0.16/0.32 % DateTime : Tue Jun 2 19:43:52 EDT 2026 % 0.16/0.33 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.nil $$unsorted) % 0.37/0.62 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t3 () (= @t2 @t1)) % 0.37/0.62 (define @t4 () (not @t3)) % 0.37/0.62 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.62 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.62 (define @t7 () (@list @t1)) % 0.37/0.62 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.62 (define @t9 () (@list @t2)) % 0.37/0.62 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.62 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t13 () (tptp.ssList @t10)) % 0.37/0.62 (define @t14 () (@list @t10)) % 0.37/0.62 (define @t15 () (tptp.ssList @t12)) % 0.37/0.62 (define @t16 () (@list @t12)) % 0.37/0.62 (define @t17 () (tptp.ssList @t2)) % 0.37/0.62 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.62 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.62 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.62 (define @t21 () (tptp.ssList @t1)) % 0.37/0.62 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.62 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.62 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.62 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.62 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.62 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.62 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.62 (define @t30 () (tptp.ssList @t27)) % 0.37/0.62 (define @t31 () (@list @t27)) % 0.37/0.62 (define @t32 () (tptp.ssList @t28)) % 0.37/0.62 (define @t33 () (@list @t28)) % 0.37/0.62 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.62 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.62 (define @t36 () (= @t1 @t12)) % 0.37/0.62 (define @t37 () (tptp.cons @t1 @t2)) % 0.37/0.62 (define @t38 () (= @t1 @t2)) % 0.37/0.62 (define @t39 () (tptp.cons @t12 @t1)) % 0.37/0.62 (define @t40 () (= tptp.nil @t2)) % 0.37/0.62 (define @t41 () (tptp.hd @t2)) % 0.37/0.62 (define @t42 () (not @t40)) % 0.37/0.62 (define @t43 () (tptp.tl @t2)) % 0.37/0.62 (define @t44 () (tptp.app @t2 @t1)) % 0.37/0.62 (define @t45 () (tptp.app @t1 @t2)) % 0.37/0.62 (define @t46 () (tptp.leq @t1 @t2)) % 0.37/0.62 (define @t47 () (tptp.leq @t2 @t1)) % 0.37/0.62 (define @t48 () (tptp.geq @t2 @t1)) % 0.37/0.62 (define @t49 () (tptp.lt @t1 @t2)) % 0.37/0.62 (define @t50 () (tptp.lt @t2 @t1)) % 0.37/0.62 (define @t51 () (tptp.lt @t2 @t12)) % 0.37/0.62 (define @t52 () (tptp.gt @t2 @t1)) % 0.37/0.62 (define @t53 () (tptp.memberP @t12 @t2)) % 0.37/0.62 (define @t54 () (tptp.rearsegP @t1 @t12)) % 0.37/0.62 (define @t55 () (tptp.rearsegP @t1 @t2)) % 0.37/0.62 (define @t56 () (tptp.app @t12 @t2)) % 0.37/0.62 (define @t57 () (tptp.cons @t2 tptp.nil)) % 0.37/0.62 (define @t58 () (tptp.hd @t1)) % 0.37/0.62 (define @t59 () (= tptp.nil @t1)) % 0.37/0.62 (define @t60 () (not @t59)) % 0.37/0.62 (define @t61 () (tptp.cons @t2 @t1)) % 0.37/0.62 (define @t62 () (= @t12 @t2)) % 0.37/0.62 (define @t63 () (not (tptp.neq @t12 tptp.nil))) % 0.37/0.62 (define @t64 () (and (tptp.neq @t10 tptp.nil) (or @t63 (not (tptp.rearsegP @t10 @t12))))) % 0.37/0.62 (define @t65 () (not (= tptp.nil @t12))) % 0.37/0.62 (define @t66 () (and @t65 (= tptp.nil @t10))) % 0.37/0.62 (define @t67 () (tptp.neq @t1 tptp.nil)) % 0.37/0.62 (define @t68 () (not @t67)) % 0.37/0.62 (define @t69 () (not (= @t2 @t12))) % 0.37/0.62 (define @t70 () (not (= @t1 @t10))) % 0.37/0.62 (define @t71 () (or @t70 @t69 @t68 @t55 @t66 @t64)) % 0.37/0.62 (define @t72 () (=> @t13 @t71)) % 0.37/0.62 (define @t73 () (forall @t14 @t72)) % 0.37/0.62 (define @t74 () (=> @t15 @t73)) % 0.37/0.62 (define @t75 () (forall @t16 @t74)) % 0.37/0.62 (define @t76 () (=> @t21 @t75)) % 0.37/0.62 (define @t77 () (forall @t7 @t76)) % 0.37/0.62 (define @t78 () (=> @t17 @t77)) % 0.37/0.62 (define @t79 () (forall @t9 @t78)) % 0.37/0.62 (define @t80 () (not @t79)) % 0.37/0.62 (define @t81 () (@var "BOUND_VARIABLE_10972" $$unsorted)) % 0.37/0.62 (define @t82 () (tptp.rearsegP @t81 @t2)) % 0.37/0.62 (define @t83 () (not (tptp.neq @t2 tptp.nil))) % 0.37/0.62 (define @t84 () (tptp.neq @t81 tptp.nil)) % 0.37/0.62 (define @t85 () (and @t84 (or @t83 (not @t82)))) % 0.37/0.62 (define @t86 () (not (= @t2 tptp.nil))) % 0.37/0.62 (define @t87 () (and @t86 (= @t81 tptp.nil))) % 0.37/0.62 (define @t88 () (not @t84)) % 0.37/0.62 (define @t89 () (not (tptp.ssList @t81))) % 0.37/0.62 (define @t90 () (not @t17)) % 0.37/0.62 (define @t91 () (or @t90 @t89 @t88 @t82 @t87 @t85)) % 0.37/0.62 (define @t92 () (or @t89 @t88 @t82 @t87 @t85)) % 0.37/0.62 (define @t93 () (or @t90 @t92)) % 0.37/0.62 (define @t94 () (@list @t2 @t81)) % 0.37/0.62 (define @t95 () (forall @t94 @t93)) % 0.37/0.62 (define @t96 () (@list @t81)) % 0.37/0.62 (define @t97 () (forall @t96 @t93)) % 0.37/0.62 (define @t98 () (forall @t96 @t92)) % 0.37/0.62 (define @t99 () (or @t90 @t98)) % 0.37/0.62 (define @t100 () (and @t67 (or @t83 (not @t55)))) % 0.37/0.62 (define @t101 () (= @t1 tptp.nil)) % 0.37/0.62 (define @t102 () (and @t86 @t101)) % 0.37/0.62 (define @t103 () (not @t21)) % 0.37/0.62 (define @t104 () (or @t103 @t68 @t55 @t102 @t100)) % 0.37/0.62 (define @t105 () (or @t90 (forall @t7 @t104))) % 0.37/0.62 (define @t106 () (or @t90 @t104)) % 0.37/0.62 (define @t107 () (or @t103 @t68 @t55 @t90 @t102 @t100)) % 0.37/0.62 (define @t108 () (or @t68 @t55 @t103 @t90 @t102 @t100)) % 0.37/0.62 (define @t109 () (or @t90 @t102 @t100)) % 0.37/0.62 (define @t110 () (not (= @t2 @t2))) % 0.37/0.62 (define @t111 () (or @t90 @t110 @t102 @t100)) % 0.37/0.62 (define @t112 () (and @t67 (or @t63 (not @t54)))) % 0.37/0.62 (define @t113 () (not (= @t12 tptp.nil))) % 0.37/0.62 (define @t114 () (and @t113 @t101)) % 0.37/0.62 (define @t115 () (not @t15)) % 0.37/0.62 (define @t116 () (or @t69 @t115 @t69 @t114 @t112)) % 0.37/0.62 (define @t117 () (or @t115 @t69 @t114 @t112)) % 0.37/0.62 (define @t118 () (forall @t16 @t117)) % 0.37/0.62 (define @t119 () (or @t68 @t55 @t103 @t118)) % 0.37/0.62 (define @t120 () (or @t68 @t55 @t103 @t117)) % 0.37/0.62 (define @t121 () (or @t115 @t69 @t68 @t55 @t103 @t114 @t112)) % 0.37/0.62 (define @t122 () (or @t69 @t68 @t55 @t103 @t114 @t112)) % 0.37/0.62 (define @t123 () (or @t103 @t114 @t112)) % 0.37/0.62 (define @t124 () (not (= @t1 @t1))) % 0.37/0.62 (define @t125 () (or @t103 @t124 @t114 @t112)) % 0.37/0.62 (define @t126 () (and @t113 (= @t10 tptp.nil))) % 0.37/0.62 (define @t127 () (not @t13)) % 0.37/0.62 (define @t128 () (or @t70 @t127 @t70 @t126 @t64)) % 0.37/0.62 (define @t129 () (or @t127 @t70 @t126 @t64)) % 0.37/0.62 (define @t130 () (forall @t14 @t129)) % 0.37/0.62 (define @t131 () (or @t69 @t68 @t55 @t130)) % 0.37/0.62 (define @t132 () (or @t69 @t68 @t55 @t129)) % 0.37/0.62 (define @t133 () (or @t127 @t70 @t69 @t68 @t55 @t126 @t64)) % 0.37/0.62 (define @t134 () (or @t70 @t69 @t68 @t55 @t126 @t64)) % 0.37/0.62 (define @t135 () (forall @t94 (or @t90 @t89 @t88 @t82 (and @t86 (= tptp.nil @t81)) @t85))) % 0.37/0.62 (define @t136 () (@quantifiers_skolemize @t135 0)) % 0.37/0.62 (define @t137 () (@quantifiers_skolemize @t135 1)) % 0.37/0.62 (define @t138 () (tptp.rearsegP @t137 @t136)) % 0.37/0.62 (define @t139 () (not @t138)) % 0.37/0.62 (define @t140 () (or (not (tptp.neq @t136 tptp.nil)) @t139)) % 0.37/0.62 (define @t141 () (tptp.neq @t137 tptp.nil)) % 0.37/0.62 (define @t142 () (and @t141 @t140)) % 0.37/0.62 (define @t143 () (= tptp.nil @t137)) % 0.37/0.62 (define @t144 () (not @t141)) % 0.37/0.62 (define @t145 () (not (tptp.ssList @t137))) % 0.37/0.62 (define @t146 () (not (tptp.ssList @t136))) % 0.37/0.62 (define @t147 () (or @t146 @t145 @t144 @t138 (and (not (= tptp.nil @t136)) @t143) @t142)) % 0.37/0.62 (define @t148 () (not @t147)) % 0.37/0.62 (define @t149 () (not @t135)) % 0.37/0.62 (define @t150 () (not (= @t136 tptp.nil))) % 0.37/0.62 (define @t151 () (and @t150 @t143)) % 0.37/0.62 (define @t152 () (or @t146 @t145 @t144 @t138 @t151 @t142)) % 0.37/0.62 (define @t153 () (not @t152)) % 0.37/0.62 (define @t154 () (@list true)) % 0.37/0.62 (define @t155 () (@list @t147)) % 0.37/0.62 (define @t156 () (not @t140)) % 0.37/0.62 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.62 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.62 (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))))))))))) % 0.37/0.62 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.62 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.62 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.62 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.62 (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))))))))))))))))) % 0.37/0.62 (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)))))))))))))))) % 0.37/0.62 (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))))))))))))))))) % 0.37/0.62 (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))))))))))))))) % 0.37/0.62 (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))))))))))))))) % 0.37/0.62 (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)))))))))))))))) % 0.37/0.62 (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))))))))))))) % 0.37/0.62 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.37/0.62 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.37/0.62 (assume @p17 (tptp.ssList tptp.nil)) % 0.37/0.62 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.37/0.62 (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))))))))))) % 0.37/0.62 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.37/0.62 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.37/0.62 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.37/0.62 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.37/0.62 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.37/0.62 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.37/0.62 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.37/0.62 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.37/0.62 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.62 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.37/0.62 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.62 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.62 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.37/0.62 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.37/0.62 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.37/0.62 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) 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@t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.37/0.62 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t60 @t42 (= @t58 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.37/0.62 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.37/0.62 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t62)))))))) % 0.37/0.62 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t62)))))))) % 0.37/0.62 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.37/0.62 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.62 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t59 @t40))))))) % 0.37/0.62 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.62 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.37/0.62 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.37/0.62 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.62 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.62 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.62 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.62 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.37/0.62 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.37/0.62 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.37/0.62 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.62 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.62 (assume @p96 @t80) % 0.37/0.62 (assume @p97 true) % 0.37/0.62 (step @p98 :rule refl :args (@t85)) % 0.37/0.62 (step @p99 :rule eq-symm :args (@t81 tptp.nil)) % 0.37/0.62 (step @p100 :rule refl :args (@t86)) % 0.37/0.62 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t87)) % 0.37/0.62 (step @p102 :rule refl :args (@t82)) % 0.37/0.62 (step @p103 :rule refl :args (@t88)) % 0.37/0.62 (step @p104 :rule refl :args (@t89)) % 0.37/0.62 (step @p105 :rule refl :args (@t90)) % 0.37/0.62 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p98) :args (@t91)) % 0.37/0.62 (step @p107 :rule aci_norm :args ((= @t93 @t91))) % 0.37/0.62 (step @p108 :rule trans :premises (@p107 @p106)) % 0.37/0.62 (step @p109 :rule cong :premises (@p108) :args (@t95)) % 0.37/0.62 (step @p110 :rule quant-merge-prenex :args ((= (forall @t9 @t97) @t95))) % 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:args ((= (forall @t7 @t106) @t105))) % 0.37/0.62 (step @p126 :rule aci_norm :args ((= @t107 @t106))) % 0.37/0.62 (step @p127 :rule cong :premises (@p126) :args ((forall @t7 @t107))) % 0.37/0.62 (step @p128 :rule trans :premises (@p127 @p125)) % 0.37/0.62 (step @p129 :rule aci_norm :args ((= (or @t103 @t108) @t107))) % 0.37/0.62 (step @p130 :rule bool-impl-elim :args (@t21 @t108)) % 0.37/0.62 (step @p131 :rule trans :premises (@p130 @p129)) % 0.37/0.62 (step @p132 :rule cong :premises (@p131) :args ((forall @t7 (=> @t21 @t108)))) % 0.37/0.62 (step @p133 :rule trans :premises (@p132 @p128)) % 0.37/0.62 (step @p134 :rule aci_norm :args ((= (or @t68 @t55 @t103 @t109) @t108))) % 0.37/0.62 (step @p135 :rule aci_norm :args ((= (or @t90 false @t102 @t100) @t109))) % 0.37/0.62 (step @p136 :rule refl :args (@t100)) % 0.37/0.62 (step @p137 :rule refl :args (@t102)) % 0.37/0.62 (step @p138 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p139 :rule eq-refl :args (@t2)) % 0.37/0.62 (step 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(@t70)) % 0.37/0.62 (step @p185 :rule refl :args (@t127)) % 0.37/0.62 (step @p186 :rule eq-symm :args (@t1 @t10)) % 0.37/0.62 (step @p187 :rule cong :premises (@p186) :args (@t70)) % 0.37/0.62 (step @p188 :rule nary_cong :premises (@p187 @p185 @p184 @p183 @p182) :args (@t128)) % 0.37/0.62 (step @p189 :rule aci_norm :args ((= @t129 @t128))) % 0.37/0.62 (step @p190 :rule trans :premises (@p189 @p188)) % 0.37/0.62 (step @p191 :rule cong :premises (@p190) :args (@t130)) % 0.37/0.62 (step @p192 :rule trans :premises (@p191 @p181)) % 0.37/0.62 (step @p193 :rule trans :premises (@p192 @p180)) % 0.37/0.62 (step @p194 :rule refl :args (@t69)) % 0.37/0.62 (step @p195 :rule nary_cong :premises (@p194 @p159 @p158 @p193) :args (@t131)) % 0.37/0.62 (step @p196 :rule trans :premises (@p195 @p172)) % 0.37/0.62 (step @p197 :rule quant-miniscope-or :args ((= (forall @t14 @t132) @t131))) % 0.37/0.62 (step @p198 :rule aci_norm :args ((= @t133 @t132))) % 0.37/0.62 (step @p199 :rule cong :premises (@p198) :args ((forall @t14 @t133))) % 0.37/0.62 (step @p200 :rule trans :premises (@p199 @p197)) % 0.37/0.62 (step @p201 :rule trans :premises (@p200 @p196)) % 0.37/0.62 (step @p202 :rule aci_norm :args ((= (or @t127 @t134) @t133))) % 0.37/0.62 (step @p203 :rule bool-impl-elim :args (@t13 @t134)) % 0.37/0.62 (step @p204 :rule trans :premises (@p203 @p202)) % 0.37/0.62 (step @p205 :rule cong :premises (@p204) :args ((forall @t14 (=> @t13 @t134)))) % 0.37/0.62 (step @p206 :rule trans :premises (@p205 @p201)) % 0.37/0.62 (step @p207 :rule refl :args (@t64)) % 0.37/0.62 (step @p208 :rule eq-symm :args (tptp.nil @t10)) % 0.37/0.62 (step @p209 :rule eq-symm :args (tptp.nil @t12)) % 0.37/0.62 (step @p210 :rule cong :premises (@p209) :args (@t65)) % 0.37/0.62 (step @p211 :rule nary_cong :premises (@p210 @p208) :args (@t66)) % 0.37/0.62 (step @p212 :rule refl :args (@t70)) % 0.37/0.62 (step @p213 :rule nary_cong :premises (@p212 @p194 @p159 @p158 @p211 @p207) :args (@t71)) % 0.37/0.62 (step @p214 :rule refl :args (@t13)) % 0.37/0.62 (step @p215 :rule cong :premises (@p214 @p213) :args (@t72)) % 0.37/0.62 (step @p216 :rule cong :premises (@p215) :args (@t73)) % 0.37/0.62 (step @p217 :rule trans :premises (@p216 @p206)) % 0.37/0.62 (step @p218 :rule refl :args (@t15)) % 0.37/0.62 (step @p219 :rule cong :premises (@p218 @p217) :args (@t74)) % 0.37/0.62 (step @p220 :rule cong :premises (@p219) :args (@t75)) % 0.37/0.62 (step @p221 :rule trans :premises (@p220 @p171)) % 0.37/0.62 (step @p222 :rule refl :args (@t21)) % 0.37/0.62 (step @p223 :rule cong :premises (@p222 @p221) :args (@t76)) % 0.37/0.62 (step @p224 :rule cong :premises (@p223) :args (@t77)) % 0.37/0.62 (step @p225 :rule trans :premises (@p224 @p133)) % 0.37/0.62 (step @p226 :rule refl :args (@t17)) % 0.37/0.62 (step @p227 :rule cong :premises (@p226 @p225) :args (@t78)) % 0.37/0.62 (step @p228 :rule cong :premises (@p227) :args (@t79)) % 0.37/0.62 (step @p229 :rule trans :premises (@p228 @p124)) % 0.37/0.62 (step @p230 :rule cong :premises (@p229) :args (@t80)) % 0.37/0.62 (step @p231 :rule eq_resolve :premises (@p96 @p230)) % 0.37/0.62 (step @p232 :rule refl :args (@t148)) % 0.37/0.62 (step @p233 :rule bool-double-not-elim :args (@t135)) % 0.34/0.63 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or (not @t149) @t148))) % 0.34/0.63 (step @p235 :rule refl :args (@t142)) % 0.34/0.63 (step @p236 :rule refl :args (@t143)) % 0.34/0.63 (step @p237 :rule eq-symm :args (@t136 tptp.nil)) % 0.34/0.63 (step @p238 :rule cong :premises (@p237) :args (@t150)) % 0.34/0.63 (step @p239 :rule nary_cong :premises (@p238 @p236) :args (@t151)) % 0.34/0.63 (step @p240 :rule refl :args (@t138)) % 0.34/0.63 (step @p241 :rule refl :args (@t144)) % 0.34/0.63 (step @p242 :rule refl :args (@t145)) % 0.34/0.63 (step @p243 :rule refl :args (@t146)) % 0.34/0.63 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241 @p240 @p239 @p235) :args (@t152)) % 0.34/0.63 (step @p245 :rule cong :premises (@p244) :args (@t153)) % 0.34/0.63 (step @p246 :rule refl :args (@t149)) % 0.34/0.63 (step @p247 :rule cong :premises (@p246 @p245) :args ((=> @t149 @t153))) % 0.34/0.63 (assume-push @p278 @t149) % 0.34/0.63 (step @p249 :rule skolemize :premises (@p231)) % 0.34/0.63 (step-pop @p279 :rule scope :premises (@p249)) % 0.34/0.63 (step @p250 :rule process_scope :premises (@p279) :args (@t153)) % 0.34/0.63 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 0.34/0.63 (step @p253 :rule implies_elim :premises (@p252)) % 0.34/0.63 (step @p254 :rule eq_resolve :premises (@p253 @p234)) % 0.34/0.63 (step @p255 :rule chain_m_resolution :premises (@p254 @p231) :args (@t148 @t154 (@list @t135))) % 0.34/0.63 (step @p256 :rule cnf_or_neg :args (@t147 3)) % 0.34/0.63 (step @p257 :rule reordering :premises (@p256) :args ((or @t139 @t147))) % 0.34/0.63 (step @p258 :rule chain_m_resolution :premises (@p257 @p255) :args (@t139 @t154 @t155)) % 0.34/0.63 (step @p259 :rule cnf_or_neg :args (@t147 5)) % 0.34/0.63 (step @p260 :rule chain_m_resolution :premises (@p259 @p255) :args ((not @t142) @t154 @t155)) % 0.34/0.63 (step @p261 :rule bool-double-not-elim :args (@t141)) % 0.34/0.63 (step @p262 :rule refl :args (@t147)) % 0.34/0.63 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t147 (not @t144)))) % 0.34/0.63 (step @p264 :rule cnf_or_neg :args (@t147 2)) % 0.34/0.63 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 0.34/0.63 (step @p266 :rule reordering :premises (@p265) :args ((or @t141 @t147))) % 0.34/0.63 (step @p267 :rule chain_m_resolution :premises (@p266 @p255) :args (@t141 @t154 @t155)) % 0.34/0.63 (step @p268 :rule cnf_and_neg :args (@t142)) % 0.34/0.63 (step @p269 :rule reordering :premises (@p268) :args ((or @t144 @t142 @t156))) % 0.34/0.63 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p260) :args (@t156 (@list false true) (@list @t141 @t142))) % 0.34/0.63 (step @p271 :rule bool-double-not-elim :args (@t138)) % 0.34/0.63 (step @p272 :rule refl :args (@t140)) % 0.34/0.63 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t140 (not @t139)))) % 0.34/0.63 (step @p274 :rule cnf_or_neg :args (@t140 1)) % 0.34/0.63 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.34/0.63 (step @p276 :rule reordering :premises (@p275) :args ((or @t138 @t140))) % 0.34/0.63 (step @p277 false :rule chain_m_resolution :premises (@p276 @p270 @p258) :args (false (@list true true) (@list @t140 @t138))) % 0.34/0.63 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------