%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC210+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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:28 AM UTC 2026 % Result : Theorem 0.38s 0.70s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC210+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:24:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.70 % SZS status Theorem % 0.38/0.70 % SZS output start Proof % 0.38/0.70 ( % 0.38/0.70 (declare-sort $$unsorted 0) % 0.38/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.nil $$unsorted) % 0.38/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.70 (define @t3 () (= @t2 @t1)) % 0.38/0.70 (define @t4 () (not @t3)) % 0.38/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.38/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.38/0.70 (define @t7 () (@list @t1)) % 0.38/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.38/0.70 (define @t9 () (@list @t2)) % 0.38/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.38/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.38/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.38/0.70 (define @t13 () (tptp.ssList @t10)) % 0.38/0.70 (define @t14 () (@list @t10)) % 0.38/0.70 (define @t15 () (tptp.ssList @t12)) % 0.38/0.70 (define @t16 () (@list @t12)) % 0.38/0.70 (define @t17 () (tptp.ssList @t2)) % 0.38/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.38/0.70 (define @t19 () (tptp.singletonP @t2)) % 0.38/0.70 (define @t20 () (tptp.app @t1 @t12)) % 0.38/0.70 (define @t21 () (tptp.frontsegP @t2 @t1)) % 0.38/0.70 (define @t22 () (tptp.ssList @t1)) % 0.38/0.70 (define @t23 () (tptp.app @t12 @t1)) % 0.38/0.70 (define @t24 () (tptp.rearsegP @t2 @t1)) % 0.38/0.70 (define @t25 () (tptp.segmentP @t2 @t1)) % 0.38/0.70 (define @t26 () (tptp.leq @t12 @t1)) % 0.38/0.70 (define @t27 () (tptp.leq @t1 @t12)) % 0.38/0.70 (define @t28 () (@var "Z" $$unsorted)) % 0.38/0.70 (define @t29 () (@var "Y" $$unsorted)) % 0.38/0.70 (define @t30 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t29)) (tptp.cons @t12 @t28)) @t2)) % 0.38/0.70 (define @t31 () (tptp.ssList @t28)) % 0.38/0.70 (define @t32 () (@list @t28)) % 0.38/0.70 (define @t33 () (tptp.ssList @t29)) % 0.38/0.70 (define @t34 () (@list @t29)) % 0.38/0.70 (define @t35 () (tptp.ssItem @t12)) % 0.38/0.70 (define @t36 () (tptp.lt @t1 @t12)) % 0.38/0.70 (define @t37 () (= @t1 @t12)) % 0.38/0.70 (define @t38 () (forall @t7 (=> @t22 @t5))) % 0.38/0.70 (define @t39 () (=> @t17 @t38)) % 0.38/0.70 (define @t40 () (forall @t9 @t39)) % 0.38/0.70 (define @t41 () (tptp.cons @t1 @t2)) % 0.38/0.70 (define @t42 () (tptp.ssList tptp.nil)) % 0.38/0.70 (define @t43 () (= @t1 @t2)) % 0.38/0.70 (define @t44 () (tptp.cons @t12 @t1)) % 0.38/0.70 (define @t45 () (= tptp.nil @t2)) % 0.38/0.70 (define @t46 () (tptp.hd @t2)) % 0.38/0.70 (define @t47 () (not @t45)) % 0.38/0.70 (define @t48 () (tptp.tl @t2)) % 0.38/0.70 (define @t49 () (tptp.app @t2 @t1)) % 0.38/0.70 (define @t50 () (tptp.app @t1 @t2)) % 0.38/0.70 (define @t51 () (tptp.leq @t1 @t2)) % 0.38/0.70 (define @t52 () (tptp.leq @t2 @t1)) % 0.38/0.70 (define @t53 () (tptp.geq @t2 @t1)) % 0.38/0.70 (define @t54 () (tptp.lt @t1 @t2)) % 0.38/0.70 (define @t55 () (tptp.lt @t2 @t1)) % 0.38/0.70 (define @t56 () (tptp.lt @t2 @t12)) % 0.38/0.70 (define @t57 () (tptp.gt @t2 @t1)) % 0.38/0.70 (define @t58 () (tptp.memberP @t12 @t2)) % 0.38/0.70 (define @t59 () (tptp.singletonP tptp.nil)) % 0.38/0.70 (define @t60 () (tptp.app @t12 @t2)) % 0.38/0.70 (define @t61 () (tptp.cons @t2 tptp.nil)) % 0.38/0.70 (define @t62 () (tptp.hd @t1)) % 0.38/0.70 (define @t63 () (= tptp.nil @t1)) % 0.38/0.70 (define @t64 () (not @t63)) % 0.38/0.70 (define @t65 () (tptp.cons @t2 @t1)) % 0.38/0.70 (define @t66 () (= @t12 @t2)) % 0.38/0.70 (define @t67 () (tptp.neq @t1 tptp.nil)) % 0.38/0.70 (define @t68 () (not @t67)) % 0.38/0.70 (define @t69 () (tptp.neq @t2 tptp.nil)) % 0.38/0.70 (define @t70 () (not (tptp.singletonP @t12))) % 0.38/0.70 (define @t71 () (or @t68 @t70 @t69)) % 0.38/0.70 (define @t72 () (and @t71 (or @t68 (tptp.neq @t10 tptp.nil)))) % 0.38/0.70 (define @t73 () (not (= @t2 @t12))) % 0.38/0.70 (define @t74 () (not (= @t1 @t10))) % 0.38/0.70 (define @t75 () (or @t74 @t73 @t72)) % 0.38/0.70 (define @t76 () (forall @t14 (=> @t13 @t75))) % 0.38/0.70 (define @t77 () (=> @t15 @t76)) % 0.38/0.70 (define @t78 () (forall @t16 @t77)) % 0.38/0.70 (define @t79 () (=> @t22 @t78)) % 0.38/0.70 (define @t80 () (forall @t7 @t79)) % 0.38/0.70 (define @t81 () (=> @t17 @t80)) % 0.38/0.70 (define @t82 () (forall @t9 @t81)) % 0.38/0.70 (define @t83 () (not @t82)) % 0.38/0.70 (define @t84 () (not @t19)) % 0.38/0.70 (define @t85 () (not @t17)) % 0.38/0.70 (define @t86 () (or @t85 @t69 @t84)) % 0.38/0.70 (define @t87 () (forall @t9 @t86)) % 0.38/0.70 (define @t88 () (not @t22)) % 0.38/0.70 (define @t89 () (or @t88 @t68)) % 0.38/0.70 (define @t90 () (forall @t7 @t89)) % 0.38/0.70 (define @t91 () (or @t90 @t86)) % 0.38/0.70 (define @t92 () (or @t85 @t69 @t84 @t90)) % 0.38/0.70 (define @t93 () (or @t69 @t85 @t84 @t90)) % 0.38/0.70 (define @t94 () (or @t69 @t85 @t84 @t89)) % 0.38/0.70 (define @t95 () (or @t88 @t68 @t69 @t85 @t84)) % 0.38/0.70 (define @t96 () (or @t85 @t84)) % 0.38/0.70 (define @t97 () (not (= @t2 @t2))) % 0.38/0.70 (define @t98 () (or @t85 @t97 @t84)) % 0.38/0.70 (define @t99 () (not @t15)) % 0.38/0.70 (define @t100 () (or @t73 @t99 @t73 @t70)) % 0.38/0.70 (define @t101 () (or @t99 @t73 @t70)) % 0.38/0.70 (define @t102 () (forall @t16 @t101)) % 0.38/0.70 (define @t103 () (or @t88 @t68 @t69 @t102)) % 0.38/0.70 (define @t104 () (or @t88 @t68 @t69 @t101)) % 0.38/0.70 (define @t105 () (or @t99 @t73 @t88 @t68 @t70 @t69)) % 0.38/0.70 (define @t106 () (and @t71 true)) % 0.38/0.70 (define @t107 () (or @t99 @t73 @t88 @t106)) % 0.38/0.70 (define @t108 () (and @t71 (or @t68 @t67))) % 0.38/0.70 (define @t109 () (or @t73 @t88 @t108)) % 0.38/0.70 (define @t110 () (or @t88 @t108)) % 0.38/0.70 (define @t111 () (not (= @t1 @t1))) % 0.38/0.70 (define @t112 () (or @t88 @t111 @t108)) % 0.38/0.70 (define @t113 () (not @t13)) % 0.38/0.70 (define @t114 () (or @t74 @t113 @t74 @t72)) % 0.38/0.70 (define @t115 () (or @t113 @t74 @t72)) % 0.38/0.70 (define @t116 () (forall @t14 @t115)) % 0.38/0.70 (define @t117 () (or @t73 @t116)) % 0.38/0.70 (define @t118 () (or @t73 @t115)) % 0.38/0.70 (define @t119 () (or @t113 @t74 @t73 @t72)) % 0.38/0.70 (define @t120 () (@quantifiers_skolemize @t87 0)) % 0.38/0.70 (define @t121 () (tptp.singletonP @t120)) % 0.38/0.70 (define @t122 () (not @t121)) % 0.38/0.70 (define @t123 () (tptp.neq @t120 tptp.nil)) % 0.38/0.70 (define @t124 () (tptp.ssList @t120)) % 0.38/0.70 (define @t125 () (not @t124)) % 0.38/0.70 (define @t126 () (or @t125 @t123 @t122)) % 0.38/0.70 (define @t127 () (@list true)) % 0.38/0.70 (define @t128 () (@list @t126)) % 0.38/0.70 (define @t129 () (@var "BOUND_VARIABLE_9096" $$unsorted)) % 0.38/0.70 (define @t130 () (= (tptp.neq @t2 @t129) (not (= @t2 @t129)))) % 0.38/0.70 (define @t131 () (not (tptp.ssList @t129))) % 0.38/0.70 (define @t132 () (or @t85 @t131 @t130)) % 0.38/0.70 (define @t133 () (or @t131 @t130)) % 0.38/0.70 (define @t134 () (or @t85 @t133)) % 0.38/0.70 (define @t135 () (@list @t2 @t129)) % 0.38/0.70 (define @t136 () (forall @t135 @t134)) % 0.38/0.70 (define @t137 () (@list @t129)) % 0.38/0.70 (define @t138 () (forall @t137 @t134)) % 0.38/0.70 (define @t139 () (forall @t137 @t133)) % 0.38/0.70 (define @t140 () (or @t85 @t139)) % 0.38/0.70 (define @t141 () (forall @t7 (or @t88 @t5))) % 0.38/0.70 (define @t142 () (not (= @t120 tptp.nil))) % 0.38/0.70 (define @t143 () (= @t123 @t142)) % 0.38/0.70 (define @t144 () (not @t42)) % 0.38/0.70 (define @t145 () (or @t125 @t144 @t143)) % 0.38/0.70 (define @t146 () (forall @t135 @t132)) % 0.38/0.70 (define @t147 () (= tptp.nil @t120)) % 0.38/0.70 (define @t148 () (not @t147)) % 0.38/0.70 (define @t149 () (= @t123 @t148)) % 0.38/0.70 (define @t150 () (or @t125 @t144 @t149)) % 0.38/0.70 (define @t151 () (not @t149)) % 0.38/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.38/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.38/0.70 (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))))))))))) % 0.38/0.70 (assume @p4 (forall @t9 (=> @t17 (= @t19 (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.38/0.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (= @t21 (exists @t16 (and @t15 (= @t20 @t2))))))))) % 0.38/0.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (= @t24 (exists @t16 (and @t15 (= @t23 @t2))))))))) % 0.38/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (= @t25 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t23 @t10) @t2))))))))))) % 0.38/0.70 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (not (and @t27 @t26))))))))))))))))) % 0.38/0.70 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (or @t27 @t26)))))))))))))))) % 0.38/0.70 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (or @t36 (tptp.lt @t12 @t1))))))))))))))))) % 0.38/0.70 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 @t27))))))))))))))) % 0.38/0.70 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 @t36))))))))))))))) % 0.38/0.70 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (forall @t32 (=> @t31 (=> @t30 (not @t37)))))))))))))))) % 0.38/0.70 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t35 (forall @t14 (=> @t13 (forall @t34 (=> @t33 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t29))) @t2) @t37))))))))))))) % 0.38/0.70 (assume @p15 @t40) % 0.38/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.38/0.70 (assume @p17 @t42) % 0.38/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.38/0.70 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t35 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 0.38/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t22 (exists @t16 (and @t35 (= @t44 @t2))))))))) % 0.38/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.38/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.38/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.38/0.70 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.38/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.38/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (tptp.ssList @t49)))))) % 0.38/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t35 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.38/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.38/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.38/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t35 (=> (and @t52 @t27) (tptp.leq @t2 @t12))))))))) % 0.38/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.38/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.38/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.38/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t35 (=> (and @t55 @t36) @t56)))))))) % 0.38/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.38/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (= (tptp.memberP @t20 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.38/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.38/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.38/0.70 (assume @p39 (not @t59)) % 0.38/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (forall @t16 (=> @t15 (=> (and @t21 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.38/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t22 (=> (and @t21 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.38/0.70 (assume 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(@t17)) % 0.38/0.70 (step @p210 :rule cong :premises (@p209 @p208) :args (@t81)) % 0.38/0.70 (step @p211 :rule cong :premises (@p210) :args (@t82)) % 0.38/0.70 (step @p212 :rule trans :premises (@p211 @p107)) % 0.38/0.70 (step @p213 :rule cong :premises (@p212) :args (@t83)) % 0.38/0.70 (step @p214 :rule eq_resolve :premises (@p96 @p213)) % 0.38/0.70 (step @p215 :rule not_or_elim :premises (@p214) :args (1)) % 0.38/0.70 (step @p216 :rule skolemize :premises (@p215)) % 0.38/0.70 (step @p217 :rule bool-double-not-elim :args (@t121)) % 0.38/0.70 (step @p218 :rule refl :args (@t126)) % 0.38/0.70 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t126 (not @t122)))) % 0.38/0.70 (step @p220 :rule cnf_or_neg :args (@t126 2)) % 0.38/0.70 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.38/0.70 (step @p222 :rule reordering :premises (@p221) :args ((or @t121 @t126))) % 0.38/0.70 (step @p223 :rule chain_m_resolution :premises (@p222 @p216) :args (@t121 @t127 @t128)) % 0.38/0.70 (step @p224 :rule true_intro :premises (@p223)) % 0.38/0.70 (step @p225 :rule aci_norm :args ((= @t134 @t132))) % 0.38/0.70 (step @p226 :rule cong :premises (@p225) :args (@t136)) % 0.38/0.70 (step @p227 :rule quant-merge-prenex :args ((= (forall @t9 @t138) @t136))) % 0.38/0.70 (step @p228 :rule alpha_equiv :args (@t139 (@list @t129) (@list @t1))) % 0.38/0.70 (step @p229 :rule refl :args (@t85)) % 0.38/0.70 (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t140)) % 0.38/0.70 (step @p231 :rule quant-miniscope-or :args ((= @t138 @t140))) % 0.38/0.70 (step @p232 :rule trans :premises (@p231 @p230)) % 0.38/0.70 (step @p233 :rule symm :premises (@p232)) % 0.38/0.70 (step @p234 :rule cong :premises (@p233) :args ((forall @t9 (or @t85 @t141)))) % 0.38/0.70 (step @p235 :rule trans :premises (@p234 @p227)) % 0.38/0.70 (step @p236 :rule trans :premises (@p235 @p226)) % 0.38/0.70 (step @p237 :rule bool-impl-elim :args (@t17 @t141)) % 0.38/0.70 (step @p238 :rule cong :premises (@p237) :args ((forall @t9 (=> @t17 @t141)))) % 0.38/0.70 (step @p239 :rule trans :premises (@p238 @p236)) % 0.38/0.70 (step @p240 :rule bool-impl-elim :args (@t22 @t5)) % 0.38/0.70 (step @p241 :rule cong :premises (@p240) :args (@t38)) % 0.38/0.70 (step @p242 :rule cong :premises (@p209 @p241) :args (@t39)) % 0.38/0.70 (step @p243 :rule cong :premises (@p242) :args (@t40)) % 0.38/0.70 (step @p244 :rule trans :premises (@p243 @p239)) % 0.38/0.70 (step @p245 :rule eq_resolve :premises (@p15 @p244)) % 0.38/0.70 (step @p246 :rule eq-symm :args (@t120 tptp.nil)) % 0.38/0.70 (step @p247 :rule cong :premises (@p246) :args (@t142)) % 0.38/0.70 (step @p248 :rule refl :args (@t123)) % 0.38/0.70 (step @p249 :rule cong :premises (@p248 @p247) :args (@t143)) % 0.38/0.70 (step @p250 :rule refl :args (@t144)) % 0.38/0.70 (step @p251 :rule refl :args (@t125)) % 0.38/0.70 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args (@t145)) % 0.38/0.70 (step @p253 :rule refl :args (@t146)) % 0.38/0.70 (step @p254 :rule cong :premises (@p253 @p252) :args ((=> @t146 @t145))) % 0.38/0.70 (assume-push @p285 @t146) % 0.38/0.70 (step @p256 :rule instantiate :premises (@p245) :args ((@list @t120 tptp.nil))) % 0.38/0.70 (step-pop @p286 :rule scope :premises (@p256)) % 0.38/0.70 (step @p257 :rule process_scope :premises (@p286) :args (@t145)) % 0.38/0.70 (step @p259 :rule eq_resolve :premises (@p257 @p254)) % 0.38/0.70 (step @p260 :rule implies_elim :premises (@p259)) % 0.38/0.70 (step @p261 :rule chain_m_resolution :premises (@p260 @p245) :args (@t150 (@list false) (@list @t146))) % 0.38/0.70 (step @p262 :rule bool-double-not-elim :args (@t124)) % 0.38/0.70 (step @p263 :rule nary_cong :premises (@p218 @p262) :args ((or @t126 (not @t125)))) % 0.38/0.70 (step @p264 :rule cnf_or_neg :args (@t126 0)) % 0.38/0.70 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 0.38/0.70 (step @p266 :rule reordering :premises (@p265) :args ((or @t124 @t126))) % 0.38/0.70 (step @p267 :rule chain_m_resolution :premises (@p266 @p216) :args (@t124 @t127 @t128)) % 0.38/0.70 (step @p268 :rule cnf_or_pos :args (@t150)) % 0.38/0.70 (step @p269 :rule reordering :premises (@p268) :args ((or @t144 @t125 @t149 (not @t150)))) % 0.38/0.70 (step @p270 :rule chain_m_resolution :premises (@p269 @p17 @p267 @p261) :args (@t149 (@list false false false) (@list @t42 @t124 @t150))) % 0.38/0.70 (step @p271 :rule cnf_or_neg :args (@t126 1)) % 0.38/0.70 (step @p272 :rule chain_m_resolution :premises (@p271 @p216) :args ((not @t123) @t127 @t128)) % 0.38/0.70 (step @p273 :rule bool-double-not-elim :args (@t147)) % 0.38/0.70 (step @p274 :rule refl :args (@t151)) % 0.38/0.70 (step @p275 :rule nary_cong :premises (@p274 @p248 @p273) :args ((or @t151 @t123 (not @t148)))) % 0.38/0.70 (step @p276 :rule cnf_equiv_pos2 :args (@t149)) % 0.38/0.70 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.38/0.70 (step @p278 :rule reordering :premises (@p277) :args ((or @t123 @t147 @t151))) % 0.38/0.70 (step @p279 :rule chain_m_resolution :premises (@p278 @p272 @p270) :args (@t147 (@list true false) (@list @t123 @t149))) % 0.38/0.70 (step @p280 :rule cong :premises (@p279) :args (@t59)) % 0.38/0.70 (step @p281 :rule false_intro :premises (@p39)) % 0.38/0.70 (step @p282 :rule symm :premises (@p281)) % 0.38/0.70 (step @p283 :rule trans :premises (@p282 @p280 @p224)) % 0.38/0.70 (step @p284 false :rule eq_resolve :premises (@p283 @p98)) % 0.38/0.70 ) % 0.38/0.70 % SZS output end Proof % 0.38/0.70 % cvc5 exiting %------------------------------------------------------------------------------