%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC047+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 : n023.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 08:57:50 AM UTC 2026 % Result : Theorem 0.37s 0.70s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC047+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:12:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.70 % SZS status Theorem % 0.37/0.70 % SZS output start Proof % 0.37/0.70 ( % 0.37/0.70 (declare-sort $$unsorted 0) % 0.37/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.nil $$unsorted) % 0.37/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.70 (define @t3 () (= @t2 @t1)) % 0.37/0.70 (define @t4 () (not @t3)) % 0.37/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.70 (define @t7 () (@list @t1)) % 0.37/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.70 (define @t9 () (@list @t2)) % 0.37/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.70 (define @t13 () (tptp.ssList @t10)) % 0.37/0.70 (define @t14 () (@list @t10)) % 0.37/0.70 (define @t15 () (tptp.ssList @t12)) % 0.37/0.70 (define @t16 () (@list @t12)) % 0.37/0.70 (define @t17 () (tptp.ssList @t2)) % 0.37/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.70 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.70 (define @t21 () (tptp.ssList @t1)) % 0.37/0.70 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.70 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.70 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.70 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.70 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.70 (define @t30 () (tptp.ssList @t27)) % 0.37/0.70 (define @t31 () (@list @t27)) % 0.37/0.70 (define @t32 () (tptp.ssList @t28)) % 0.37/0.70 (define @t33 () (@list @t28)) % 0.37/0.70 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.70 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.70 (define @t36 () (= @t1 @t12)) % 0.37/0.70 (define @t37 () (not @t36)) % 0.37/0.70 (define @t38 () (tptp.cons @t1 @t2)) % 0.37/0.70 (define @t39 () (= @t1 @t2)) % 0.37/0.70 (define @t40 () (= @t12 @t10)) % 0.37/0.70 (define @t41 () (tptp.cons @t12 @t1)) % 0.37/0.70 (define @t42 () (= tptp.nil @t2)) % 0.37/0.70 (define @t43 () (tptp.hd @t2)) % 0.37/0.70 (define @t44 () (not @t42)) % 0.37/0.70 (define @t45 () (tptp.tl @t2)) % 0.37/0.70 (define @t46 () (tptp.app @t2 @t1)) % 0.37/0.70 (define @t47 () (tptp.app @t1 @t2)) % 0.37/0.70 (define @t48 () (tptp.leq @t1 @t2)) % 0.37/0.70 (define @t49 () (tptp.leq @t2 @t1)) % 0.37/0.70 (define @t50 () (tptp.geq @t2 @t1)) % 0.37/0.70 (define @t51 () (tptp.lt @t1 @t2)) % 0.37/0.70 (define @t52 () (tptp.lt @t2 @t1)) % 0.37/0.70 (define @t53 () (tptp.lt @t2 @t12)) % 0.37/0.70 (define @t54 () (tptp.gt @t2 @t1)) % 0.37/0.70 (define @t55 () (tptp.memberP @t12 @t2)) % 0.37/0.70 (define @t56 () (tptp.rearsegP @t2 @t2)) % 0.37/0.70 (define @t57 () (forall @t9 (=> @t17 @t56))) % 0.37/0.70 (define @t58 () (tptp.app @t12 @t2)) % 0.37/0.70 (define @t59 () (tptp.cons @t2 tptp.nil)) % 0.37/0.70 (define @t60 () (tptp.hd @t1)) % 0.37/0.70 (define @t61 () (= tptp.nil @t1)) % 0.37/0.70 (define @t62 () (not @t61)) % 0.37/0.70 (define @t63 () (tptp.cons @t2 @t1)) % 0.37/0.70 (define @t64 () (= @t12 @t2)) % 0.37/0.70 (define @t65 () (tptp.rearsegP @t2 @t28)) % 0.37/0.70 (define @t66 () (tptp.rearsegP @t1 @t28)) % 0.37/0.70 (define @t67 () (tptp.neq @t28 tptp.nil)) % 0.37/0.70 (define @t68 () (and @t32 @t67 @t66 @t65)) % 0.37/0.70 (define @t69 () (exists @t33 @t68)) % 0.37/0.70 (define @t70 () (not (tptp.neq @t1 tptp.nil))) % 0.37/0.70 (define @t71 () (or @t70 @t69)) % 0.37/0.70 (define @t72 () (or @t62 @t42)) % 0.37/0.70 (define @t73 () (and @t72 @t71)) % 0.37/0.70 (define @t74 () (not (= @t10 @t12))) % 0.37/0.70 (define @t75 () (not (= @t2 @t12))) % 0.37/0.70 (define @t76 () (not (= @t1 @t10))) % 0.37/0.70 (define @t77 () (or @t76 @t75 @t74 @t73)) % 0.37/0.70 (define @t78 () (=> @t13 @t77)) % 0.37/0.70 (define @t79 () (forall @t14 @t78)) % 0.37/0.70 (define @t80 () (=> @t15 @t79)) % 0.37/0.70 (define @t81 () (forall @t16 @t80)) % 0.37/0.70 (define @t82 () (=> @t21 @t81)) % 0.37/0.70 (define @t83 () (forall @t7 @t82)) % 0.37/0.70 (define @t84 () (=> @t17 @t83)) % 0.37/0.70 (define @t85 () (forall @t9 @t84)) % 0.37/0.70 (define @t86 () (not @t85)) % 0.37/0.70 (define @t87 () (not @t65)) % 0.37/0.70 (define @t88 () (not @t67)) % 0.37/0.70 (define @t89 () (not @t32)) % 0.37/0.70 (define @t90 () (or @t89 @t88 @t87)) % 0.37/0.70 (define @t91 () (not (forall @t33 @t90))) % 0.37/0.70 (define @t92 () (not (tptp.neq @t2 tptp.nil))) % 0.37/0.70 (define @t93 () (not @t17)) % 0.37/0.70 (define @t94 () (or @t93 @t92 @t91)) % 0.37/0.70 (define @t95 () (or @t92 @t91)) % 0.37/0.70 (define @t96 () (and true @t95)) % 0.37/0.70 (define @t97 () (or @t93 @t96)) % 0.37/0.70 (define @t98 () (= @t2 tptp.nil)) % 0.37/0.70 (define @t99 () (or (not @t98) @t98)) % 0.37/0.70 (define @t100 () (and @t99 @t95)) % 0.37/0.70 (define @t101 () (or @t93 @t100)) % 0.37/0.71 (define @t102 () (or @t93 @t101)) % 0.37/0.71 (define @t103 () (not (= @t2 @t2))) % 0.37/0.71 (define @t104 () (or @t89 @t88 @t87 @t87)) % 0.37/0.71 (define @t105 () (forall @t33 @t104)) % 0.37/0.71 (define @t106 () (not @t105)) % 0.37/0.71 (define @t107 () (or @t92 @t106)) % 0.37/0.71 (define @t108 () (and @t99 @t107)) % 0.37/0.71 (define @t109 () (or @t93 @t108 @t103)) % 0.37/0.71 (define @t110 () (not @t66)) % 0.37/0.71 (define @t111 () (or @t89 @t88 @t110 @t87)) % 0.37/0.71 (define @t112 () (and (or (not (= @t1 tptp.nil)) @t98) (or @t70 (not (forall @t33 @t111))))) % 0.37/0.71 (define @t113 () (not @t21)) % 0.37/0.71 (define @t114 () (not @t39)) % 0.37/0.71 (define @t115 () (or @t4 @t113 @t112 @t4)) % 0.37/0.71 (define @t116 () (or @t113 @t112 @t4)) % 0.37/0.71 (define @t117 () (forall @t7 @t116)) % 0.37/0.71 (define @t118 () (or @t93 @t117)) % 0.37/0.71 (define @t119 () (or @t93 @t116)) % 0.37/0.71 (define @t120 () (or @t113 @t112 @t93 @t4)) % 0.37/0.71 (define @t121 () (or @t112 @t113 @t93 @t4)) % 0.37/0.71 (define @t122 () (or @t93 @t4)) % 0.37/0.71 (define @t123 () (or @t93 @t103 @t114)) % 0.37/0.71 (define @t124 () (not @t15)) % 0.37/0.71 (define @t125 () (or @t75 @t124 @t75 @t37)) % 0.37/0.71 (define @t126 () (or @t124 @t75 @t37)) % 0.37/0.71 (define @t127 () (forall @t16 @t126)) % 0.37/0.71 (define @t128 () (or @t112 @t113 @t127)) % 0.37/0.71 (define @t129 () (or @t112 @t113 @t126)) % 0.37/0.71 (define @t130 () (or @t124 @t75 @t112 @t113 @t37)) % 0.37/0.71 (define @t131 () (or @t75 @t112 @t113 @t37)) % 0.37/0.71 (define @t132 () (or @t113 @t37)) % 0.37/0.71 (define @t133 () (not (= @t12 @t1))) % 0.37/0.71 (define @t134 () (not (= @t1 @t1))) % 0.37/0.71 (define @t135 () (or @t113 @t134 @t133)) % 0.37/0.71 (define @t136 () (not @t40)) % 0.37/0.71 (define @t137 () (not @t13)) % 0.37/0.71 (define @t138 () (or @t76 @t137 @t76 @t136)) % 0.37/0.71 (define @t139 () (or @t137 @t76 @t136)) % 0.37/0.71 (define @t140 () (forall @t14 @t139)) % 0.37/0.71 (define @t141 () (or @t75 @t112 @t140)) % 0.37/0.71 (define @t142 () (or @t75 @t112 @t139)) % 0.37/0.71 (define @t143 () (or @t137 @t76 @t75 @t136 @t112)) % 0.37/0.71 (define @t144 () (or @t76 @t75 @t136 @t112)) % 0.37/0.71 (define @t145 () (forall @t33 (not @t68))) % 0.37/0.71 (define @t146 () (not @t145)) % 0.37/0.71 (define @t147 () (@quantifiers_skolemize (forall @t9 @t94) 0)) % 0.37/0.71 (define @t148 () (tptp.ssList @t147)) % 0.37/0.71 (define @t149 () (forall @t33 (or @t89 @t88 (not (tptp.rearsegP @t147 @t28))))) % 0.37/0.71 (define @t150 () (not @t149)) % 0.37/0.71 (define @t151 () (tptp.neq @t147 tptp.nil)) % 0.37/0.71 (define @t152 () (not @t151)) % 0.37/0.71 (define @t153 () (not @t148)) % 0.37/0.71 (define @t154 () (or @t153 @t152 @t150)) % 0.37/0.71 (define @t155 () (@list true)) % 0.37/0.71 (define @t156 () (@list @t154)) % 0.37/0.71 (define @t157 () (@list @t147)) % 0.37/0.71 (define @t158 () (tptp.rearsegP @t147 @t147)) % 0.37/0.71 (define @t159 () (or @t153 @t158)) % 0.37/0.71 (define @t160 () (not @t158)) % 0.37/0.71 (define @t161 () (or @t153 @t152 @t160)) % 0.37/0.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.71 (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))))))))))) % 0.37/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.71 (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))))))))))))))))) % 0.37/0.71 (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)))))))))))))))) % 0.37/0.71 (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))))))))))))))))) % 0.37/0.71 (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))))))))))))))) % 0.37/0.71 (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))))))))))))))) % 0.37/0.71 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t37))))))))))))))) % 0.37/0.71 (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))))))))))))) % 0.37/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.37/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.37/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.37/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.37/0.71 (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 @t40 @t39))))))))))) % 0.37/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t42 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t41 @t2))))))))) % 0.37/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.37/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t44 (tptp.ssItem @t43))))) % 0.37/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.37/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t44 (tptp.ssList @t45))))) % 0.37/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.37/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t46)))))) % 0.37/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t47) (tptp.app @t41 @t2))))))))) % 0.37/0.71 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 @t48) @t3)))))) % 0.37/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 @t48)))))) % 0.37/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not @t51))))))) % 0.37/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t53)))))))) % 0.37/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 @t51)))))) % 0.37/0.71 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t55))))))))) % 0.37/0.71 (assume @p37 (forall @t9 (=> @t8 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(tptp.totalorderedP @t63) (or @t61 (and @t62 (tptp.totalorderedP @t1) (tptp.leq @t2 @t60))))))))) % 0.37/0.71 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t59)))) % 0.37/0.71 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.37/0.71 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t63) (or @t61 (and @t62 (tptp.strictorderedP @t1) (tptp.lt @t2 @t60))))))))) % 0.37/0.71 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t59)))) % 0.37/0.71 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.71 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t59)))) % 0.37/0.71 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.71 (assume @p75 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t6 (= @t43 @t1))))))) % 0.37/0.71 (assume @p76 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t21 (= @t45 @t1))))))) % 0.37/0.71 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t62 @t44 (= @t60 @t43) (= (tptp.tl @t1) @t45)) @t39)))))) % 0.37/0.71 (assume @p78 (forall @t9 (=> @t17 (=> @t44 (= (tptp.cons @t43 @t45) @t2))))) % 0.37/0.71 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t46) @t64)))))))) % 0.37/0.71 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t47) @t64)))))))) % 0.37/0.71 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 0.37/0.71 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t46 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.71 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t46) (and @t61 @t42))))))) % 0.37/0.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t44 (= (tptp.hd @t46) @t43))))))) % 0.37/0.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t44 (= (tptp.tl @t46) (tptp.app @t45 @t1)))))))) % 0.37/0.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t50 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 @t35) @t53)))))))) % 0.37/0.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t49 (or @t3 @t52))))))) % 0.37/0.71 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 (and @t4 @t49))))))) % 0.37/0.71 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.71 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.71 (assume @p96 @t86) % 0.37/0.71 (assume @p97 true) % 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(step @p143 :rule nary_cong :premises (@p100 @p142) :args (@t118)) % 0.37/0.71 (step @p144 :rule trans :premises (@p143 @p116)) % 0.37/0.71 (step @p145 :rule quant-miniscope-or :args ((= (forall @t7 @t119) @t118))) % 0.37/0.71 (step @p146 :rule aci_norm :args ((= @t120 @t119))) % 0.37/0.71 (step @p147 :rule cong :premises (@p146) :args ((forall @t7 @t120))) % 0.37/0.71 (step @p148 :rule trans :premises (@p147 @p145)) % 0.37/0.71 (step @p149 :rule trans :premises (@p148 @p144)) % 0.37/0.71 (step @p150 :rule aci_norm :args ((= (or @t113 @t121) @t120))) % 0.37/0.71 (step @p151 :rule bool-impl-elim :args (@t21 @t121)) % 0.37/0.71 (step @p152 :rule trans :premises (@p151 @p150)) % 0.37/0.71 (step @p153 :rule cong :premises (@p152) :args ((forall @t7 (=> @t21 @t121)))) % 0.37/0.71 (step @p154 :rule trans :premises (@p153 @p149)) % 0.37/0.71 (step @p155 :rule aci_norm :args ((= (or @t112 @t113 @t122) @t121))) % 0.37/0.71 (step @p156 :rule aci_norm :args ((= (or @t93 false @t4) @t122))) % 0.37/0.71 (step @p157 :rule eq-symm :args (@t1 @t2)) % 0.37/0.71 (step @p158 :rule cong :premises (@p157) :args (@t114)) % 0.37/0.71 (step @p159 :rule nary_cong :premises (@p100 @p121 @p158) :args (@t123)) % 0.37/0.71 (step @p160 :rule trans :premises (@p159 @p156)) % 0.37/0.71 (step @p161 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t64) @t124 @t75 @t37)) @t123))) % 0.37/0.71 (step @p162 :rule refl :args (@t37)) % 0.37/0.71 (step @p163 :rule refl :args (@t75)) % 0.37/0.71 (step @p164 :rule refl :args (@t124)) % 0.37/0.71 (step @p165 :rule eq-symm :args (@t2 @t12)) % 0.37/0.71 (step @p166 :rule cong :premises (@p165) :args (@t75)) % 0.37/0.71 (step @p167 :rule nary_cong :premises (@p166 @p164 @p163 @p162) :args (@t125)) % 0.37/0.71 (step @p168 :rule aci_norm :args ((= @t126 @t125))) % 0.37/0.71 (step @p169 :rule trans :premises (@p168 @p167)) % 0.37/0.71 (step @p170 :rule cong :premises (@p169) :args (@t127)) % 0.37/0.71 (step @p171 :rule trans :premises (@p170 @p161)) % 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(@p185 @p181)) % 0.37/0.71 (step @p187 :rule aci_norm :args ((= (or @t75 @t112 @t132) @t131))) % 0.37/0.71 (step @p188 :rule aci_norm :args ((= (or @t113 false @t37) @t132))) % 0.37/0.71 (step @p189 :rule eq-symm :args (@t12 @t1)) % 0.37/0.71 (step @p190 :rule cong :premises (@p189) :args (@t133)) % 0.37/0.71 (step @p191 :rule eq-refl :args (@t1)) % 0.37/0.71 (step @p192 :rule cong :premises (@p191) :args (@t134)) % 0.37/0.71 (step @p193 :rule trans :premises (@p192 @p118)) % 0.37/0.71 (step @p194 :rule nary_cong :premises (@p173 @p193 @p190) :args (@t135)) % 0.37/0.71 (step @p195 :rule trans :premises (@p194 @p188)) % 0.37/0.71 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t137 @t76 @t136)) @t135))) % 0.37/0.71 (step @p197 :rule refl :args (@t136)) % 0.37/0.71 (step @p198 :rule refl :args (@t76)) % 0.37/0.71 (step @p199 :rule refl :args (@t137)) % 0.37/0.71 (step @p200 :rule eq-symm :args (@t1 @t10)) % 0.37/0.71 (step @p201 :rule cong :premises (@p200) :args (@t76)) % 0.37/0.71 (step @p202 :rule nary_cong :premises (@p201 @p199 @p198 @p197) :args (@t138)) % 0.37/0.71 (step @p203 :rule aci_norm :args ((= @t139 @t138))) % 0.37/0.71 (step @p204 :rule trans :premises (@p203 @p202)) % 0.37/0.71 (step @p205 :rule cong :premises (@p204) :args (@t140)) % 0.37/0.71 (step @p206 :rule trans :premises (@p205 @p196)) % 0.37/0.71 (step @p207 :rule trans :premises (@p206 @p195)) % 0.37/0.71 (step @p208 :rule refl :args (@t75)) % 0.37/0.71 (step @p209 :rule nary_cong :premises (@p208 @p174 @p207) :args (@t141)) % 0.37/0.71 (step @p210 :rule trans :premises (@p209 @p187)) % 0.37/0.71 (step @p211 :rule quant-miniscope-or :args ((= (forall @t14 @t142) @t141))) % 0.37/0.71 (step @p212 :rule aci_norm :args ((= @t143 @t142))) % 0.37/0.71 (step @p213 :rule cong :premises (@p212) :args ((forall @t14 @t143))) % 0.37/0.71 (step @p214 :rule trans :premises (@p213 @p211)) % 0.37/0.71 (step @p215 :rule trans :premises (@p214 @p210)) % 0.37/0.71 (step @p216 :rule aci_norm :args ((= (or @t137 @t144) @t143))) % 0.37/0.71 (step @p217 :rule bool-impl-elim :args (@t13 @t144)) % 0.37/0.71 (step @p218 :rule trans :premises (@p217 @p216)) % 0.37/0.71 (step @p219 :rule cong :premises (@p218) :args ((forall @t14 (=> @t13 @t144)))) % 0.37/0.71 (step @p220 :rule trans :premises (@p219 @p215)) % 0.37/0.71 (step @p221 :rule aci_norm :args ((= (or @t89 (or @t88 (or @t110 @t87))) @t111))) % 0.37/0.71 (step @p222 :rule bool-and-de-morgan :args (@t66 @t65 true)) % 0.37/0.71 (step @p223 :rule refl :args (@t88)) % 0.37/0.71 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t88 (not (and @t66 @t65))))) % 0.37/0.71 (step @p225 :rule bool-and-de-morgan :args (@t67 @t66 (and @t65))) % 0.37/0.71 (step @p226 :rule trans :premises (@p225 @p224)) % 0.37/0.71 (step @p227 :rule refl :args (@t89)) % 0.37/0.71 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t89 (not (and @t67 @t66 @t65))))) % 0.37/0.71 (step @p229 :rule bool-and-de-morgan :args (@t32 @t67 (and @t66 @t65))) % 0.37/0.71 (step @p230 :rule trans :premises (@p229 @p228)) % 0.37/0.71 (step @p231 :rule trans :premises (@p230 @p221)) % 0.37/0.71 (step @p232 :rule cong :premises (@p231) :args (@t145)) % 0.37/0.71 (step @p233 :rule cong :premises (@p232) :args (@t146)) % 0.37/0.71 (step @p234 :rule exists-elim :args ((= @t69 @t146))) % 0.37/0.71 (step @p235 :rule trans :premises (@p234 @p233)) % 0.37/0.71 (step @p236 :rule refl :args (@t70)) % 0.37/0.71 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t71)) % 0.37/0.71 (step @p238 :rule eq-symm :args (tptp.nil @t2)) % 0.37/0.71 (step @p239 :rule eq-symm :args (tptp.nil @t1)) % 0.37/0.71 (step @p240 :rule cong :premises (@p239) :args (@t62)) % 0.37/0.71 (step @p241 :rule nary_cong :premises (@p240 @p238) :args (@t72)) % 0.37/0.71 (step @p242 :rule nary_cong :premises (@p241 @p237) :args (@t73)) % 0.37/0.71 (step @p243 :rule eq-symm :args (@t10 @t12)) % 0.37/0.71 (step @p244 :rule cong :premises (@p243) :args (@t74)) % 0.37/0.71 (step @p245 :rule refl :args (@t76)) % 0.37/0.71 (step @p246 :rule nary_cong :premises (@p245 @p208 @p244 @p242) :args (@t77)) % 0.37/0.71 (step @p247 :rule refl :args (@t13)) % 0.37/0.71 (step @p248 :rule cong :premises (@p247 @p246) :args (@t78)) % 0.37/0.71 (step @p249 :rule cong :premises (@p248) :args (@t79)) % 0.37/0.71 (step @p250 :rule trans :premises (@p249 @p220)) % 0.37/0.71 (step @p251 :rule refl :args (@t15)) % 0.37/0.71 (step @p252 :rule cong :premises (@p251 @p250) :args (@t80)) % 0.37/0.71 (step @p253 :rule cong :premises (@p252) :args (@t81)) % 0.37/0.71 (step @p254 :rule trans :premises (@p253 @p186)) % 0.37/0.71 (step @p255 :rule refl :args (@t21)) % 0.37/0.71 (step @p256 :rule cong :premises (@p255 @p254) :args (@t82)) % 0.37/0.71 (step @p257 :rule cong :premises (@p256) :args (@t83)) % 0.37/0.71 (step @p258 :rule trans :premises (@p257 @p154)) % 0.37/0.71 (step @p259 :rule refl :args (@t17)) % 0.37/0.71 (step @p260 :rule cong :premises (@p259 @p258) :args (@t84)) % 0.37/0.71 (step @p261 :rule cong :premises (@p260) :args (@t85)) % 0.37/0.71 (step @p262 :rule trans :premises (@p261 @p115)) % 0.37/0.71 (step @p263 :rule cong :premises (@p262) :args (@t86)) % 0.37/0.71 (step @p264 :rule eq_resolve :premises (@p96 @p263)) % 0.37/0.71 (step @p265 :rule skolemize :premises (@p264)) % 0.37/0.71 (step @p266 :rule bool-double-not-elim :args (@t148)) % 0.37/0.71 (step @p267 :rule refl :args (@t154)) % 0.37/0.71 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or @t154 (not @t153)))) % 0.37/0.71 (step @p269 :rule cnf_or_neg :args (@t154 0)) % 0.37/0.71 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 0.37/0.71 (step @p271 :rule reordering :premises (@p270) :args ((or @t148 @t154))) % 0.37/0.71 (step @p272 :rule chain_m_resolution :premises (@p271 @p265) :args (@t148 @t155 @t156)) % 0.37/0.71 (step @p273 :rule bool-double-not-elim :args (@t151)) % 0.37/0.71 (step @p274 :rule nary_cong :premises (@p267 @p273) :args ((or @t154 (not @t152)))) % 0.37/0.71 (step @p275 :rule cnf_or_neg :args (@t154 1)) % 0.37/0.71 (step @p276 :rule eq_resolve :premises (@p275 @p274)) % 0.37/0.71 (step @p277 :rule reordering :premises (@p276) :args ((or @t151 @t154))) % 0.37/0.71 (step @p278 :rule chain_m_resolution :premises (@p277 @p265) :args (@t151 @t155 @t156)) % 0.37/0.71 (step @p279 :rule bool-double-not-elim :args (@t149)) % 0.37/0.71 (step @p280 :rule nary_cong :premises (@p267 @p279) :args ((or @t154 (not @t150)))) % 0.37/0.71 (step @p281 :rule cnf_or_neg :args (@t154 2)) % 0.37/0.71 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 0.37/0.71 (step @p283 :rule reordering :premises (@p282) :args ((or @t149 @t154))) % 0.37/0.71 (step @p284 :rule chain_m_resolution :premises (@p283 @p265) :args (@t149 @t155 @t156)) % 0.37/0.71 (step @p285 :rule instantiate :premises (@p284) :args (@t157)) % 0.37/0.71 (step @p286 :rule bool-impl-elim :args (@t17 @t56)) % 0.37/0.71 (step @p287 :rule cong :premises (@p286) :args (@t57)) % 0.37/0.71 (step @p288 :rule eq_resolve :premises (@p49 @p287)) % 0.37/0.71 (step @p289 :rule instantiate :premises (@p288) :args (@t157)) % 0.37/0.71 (step @p290 :rule cnf_or_pos :args (@t159)) % 0.37/0.71 (step @p291 :rule reordering :premises (@p290) :args ((or @t153 @t158 (not @t159)))) % 0.37/0.71 (step @p292 :rule chain_m_resolution :premises (@p291 @p272 @p289) :args (@t158 (@list false false) (@list @t148 @t159))) % 0.37/0.71 (step @p293 :rule cnf_or_pos :args (@t161)) % 0.37/0.71 (step @p294 :rule reordering :premises (@p293) :args ((or @t153 @t152 @t160 (not @t161)))) % 0.37/0.71 (step @p295 false :rule chain_m_resolution :premises (@p294 @p292 @p285 @p278 @p272) :args (false (@list false false false false) (@list @t158 @t161 @t151 @t148))) % 0.37/0.71 ) % 0.37/0.71 % SZS output end Proof % 0.37/0.71 % cvc5 exiting %------------------------------------------------------------------------------