%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC375+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 : n015.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 08:59:04 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC375+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:44:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.nil $$unsorted) % 0.44/0.65 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (define @t1 () (@var "V" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "U" $$unsorted)) % 0.44/0.65 (define @t3 () (= @t2 @t1)) % 0.44/0.65 (define @t4 () (not @t3)) % 0.44/0.65 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.44/0.65 (define @t6 () (tptp.ssItem @t1)) % 0.44/0.65 (define @t7 () (@list @t1)) % 0.44/0.65 (define @t8 () (tptp.ssItem @t2)) % 0.44/0.65 (define @t9 () (@list @t2)) % 0.44/0.65 (define @t10 () (@var "X" $$unsorted)) % 0.44/0.65 (define @t11 () (tptp.cons @t1 @t10)) % 0.44/0.65 (define @t12 () (@var "W" $$unsorted)) % 0.44/0.65 (define @t13 () (tptp.ssList @t10)) % 0.44/0.65 (define @t14 () (@list @t10)) % 0.44/0.65 (define @t15 () (tptp.ssList @t12)) % 0.44/0.65 (define @t16 () (@list @t12)) % 0.44/0.65 (define @t17 () (tptp.ssList @t2)) % 0.44/0.65 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.44/0.65 (define @t19 () (tptp.app @t1 @t12)) % 0.44/0.65 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.44/0.65 (define @t21 () (tptp.ssList @t1)) % 0.44/0.65 (define @t22 () (tptp.app @t12 @t1)) % 0.44/0.65 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.44/0.65 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.44/0.65 (define @t25 () (tptp.leq @t12 @t1)) % 0.44/0.65 (define @t26 () (tptp.leq @t1 @t12)) % 0.44/0.65 (define @t27 () (@var "Z" $$unsorted)) % 0.44/0.65 (define @t28 () (@var "Y" $$unsorted)) % 0.44/0.65 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.44/0.65 (define @t30 () (tptp.ssList @t27)) % 0.44/0.65 (define @t31 () (@list @t27)) % 0.44/0.65 (define @t32 () (tptp.ssList @t28)) % 0.44/0.65 (define @t33 () (@list @t28)) % 0.44/0.65 (define @t34 () (tptp.ssItem @t12)) % 0.44/0.65 (define @t35 () (tptp.lt @t1 @t12)) % 0.44/0.65 (define @t36 () (= @t1 @t12)) % 0.44/0.65 (define @t37 () (not @t36)) % 0.44/0.65 (define @t38 () (tptp.cons @t1 @t2)) % 0.44/0.65 (define @t39 () (= @t1 @t2)) % 0.44/0.65 (define @t40 () (= @t12 @t10)) % 0.44/0.65 (define @t41 () (tptp.cons @t12 @t1)) % 0.44/0.65 (define @t42 () (= tptp.nil @t2)) % 0.44/0.65 (define @t43 () (tptp.hd @t2)) % 0.44/0.65 (define @t44 () (not @t42)) % 0.44/0.65 (define @t45 () (tptp.tl @t2)) % 0.44/0.65 (define @t46 () (tptp.app @t2 @t1)) % 0.44/0.65 (define @t47 () (tptp.app @t1 @t2)) % 0.44/0.65 (define @t48 () (tptp.leq @t1 @t2)) % 0.44/0.65 (define @t49 () (tptp.leq @t2 @t1)) % 0.44/0.65 (define @t50 () (tptp.geq @t2 @t1)) % 0.44/0.65 (define @t51 () (tptp.lt @t1 @t2)) % 0.44/0.65 (define @t52 () (tptp.lt @t2 @t1)) % 0.44/0.65 (define @t53 () (tptp.lt @t2 @t12)) % 0.44/0.65 (define @t54 () (tptp.gt @t2 @t1)) % 0.44/0.65 (define @t55 () (tptp.memberP @t12 @t2)) % 0.44/0.65 (define @t56 () (tptp.app @t12 @t2)) % 0.44/0.65 (define @t57 () (tptp.cons @t2 tptp.nil)) % 0.44/0.65 (define @t58 () (tptp.hd @t1)) % 0.44/0.65 (define @t59 () (= tptp.nil @t1)) % 0.44/0.65 (define @t60 () (not @t59)) % 0.44/0.65 (define @t61 () (tptp.cons @t2 @t1)) % 0.44/0.65 (define @t62 () (= @t12 @t2)) % 0.44/0.65 (define @t63 () (tptp.memberP @t2 @t28)) % 0.44/0.65 (define @t64 () (tptp.memberP @t1 @t28)) % 0.44/0.65 (define @t65 () (and @t64 @t63)) % 0.44/0.65 (define @t66 () (and (not @t64) (not @t63))) % 0.44/0.65 (define @t67 () (or @t66 @t65)) % 0.44/0.65 (define @t68 () (tptp.ssItem @t28)) % 0.44/0.65 (define @t69 () (forall @t33 (=> @t68 @t67))) % 0.44/0.65 (define @t70 () (not (= @t10 @t12))) % 0.44/0.65 (define @t71 () (not (= @t2 @t12))) % 0.44/0.65 (define @t72 () (not (= @t1 @t10))) % 0.44/0.65 (define @t73 () (or @t72 @t71 @t70 @t69)) % 0.44/0.65 (define @t74 () (=> @t13 @t73)) % 0.44/0.65 (define @t75 () (forall @t14 @t74)) % 0.44/0.65 (define @t76 () (=> @t15 @t75)) % 0.44/0.65 (define @t77 () (forall @t16 @t76)) % 0.44/0.65 (define @t78 () (=> @t21 @t77)) % 0.44/0.65 (define @t79 () (forall @t7 @t78)) % 0.44/0.65 (define @t80 () (=> @t17 @t79)) % 0.44/0.65 (define @t81 () (forall @t9 @t80)) % 0.44/0.65 (define @t82 () (not @t81)) % 0.44/0.65 (define @t83 () (not @t17)) % 0.44/0.65 (define @t84 () (@var "BOUND_VARIABLE_10963" $$unsorted)) % 0.44/0.65 (define @t85 () (@list @t84)) % 0.44/0.65 (define @t86 () (not (tptp.ssItem @t84))) % 0.44/0.65 (define @t87 () (tptp.memberP @t2 @t84)) % 0.44/0.65 (define @t88 () (not @t87)) % 0.44/0.65 (define @t89 () (or @t83 @t86 @t88 @t87)) % 0.44/0.65 (define @t90 () (and @t87 @t87)) % 0.44/0.65 (define @t91 () (and @t88 @t88)) % 0.44/0.65 (define @t92 () (not (= @t2 @t2))) % 0.44/0.65 (define @t93 () (or @t83 @t92 @t86 @t91 @t90)) % 0.44/0.65 (define @t94 () (tptp.memberP @t1 @t84)) % 0.44/0.65 (define @t95 () (and @t94 @t87)) % 0.44/0.65 (define @t96 () (and (not @t94) @t88)) % 0.44/0.65 (define @t97 () (not @t21)) % 0.44/0.65 (define @t98 () (not @t39)) % 0.44/0.65 (define @t99 () (or @t4 @t97 @t4 @t86 @t96 @t95)) % 0.44/0.65 (define @t100 () (or @t97 @t4 @t86 @t96 @t95)) % 0.44/0.65 (define @t101 () (forall @t7 @t100)) % 0.44/0.65 (define @t102 () (forall @t85 @t101)) % 0.44/0.65 (define @t103 () (forall (@list @t84 @t1) @t100)) % 0.44/0.65 (define @t104 () (@list @t1 @t84)) % 0.44/0.65 (define @t105 () (or @t86 @t96 @t95)) % 0.44/0.65 (define @t106 () (or @t97 @t105 @t4)) % 0.44/0.65 (define @t107 () (forall @t104 @t106)) % 0.44/0.65 (define @t108 () (forall @t85 @t106)) % 0.44/0.65 (define @t109 () (forall @t85 @t105)) % 0.44/0.65 (define @t110 () (or @t97 @t109 @t4)) % 0.44/0.65 (define @t111 () (not @t68)) % 0.44/0.65 (define @t112 () (or @t111 @t66 @t65)) % 0.44/0.65 (define @t113 () (forall @t33 @t112)) % 0.44/0.65 (define @t114 () (or @t97 @t113 @t4)) % 0.44/0.65 (define @t115 () (forall @t7 @t114)) % 0.44/0.65 (define @t116 () (or @t83 @t115)) % 0.44/0.65 (define @t117 () (or @t83 @t114)) % 0.44/0.65 (define @t118 () (or @t97 @t113 @t83 @t4)) % 0.44/0.65 (define @t119 () (or @t113 @t97 @t83 @t4)) % 0.44/0.65 (define @t120 () (or @t83 @t4)) % 0.44/0.65 (define @t121 () (or @t83 @t92 @t98)) % 0.44/0.65 (define @t122 () (not @t15)) % 0.44/0.65 (define @t123 () (or @t71 @t122 @t71 @t37)) % 0.44/0.65 (define @t124 () (or @t122 @t71 @t37)) % 0.44/0.65 (define @t125 () (forall @t16 @t124)) % 0.44/0.65 (define @t126 () (or @t113 @t97 @t125)) % 0.44/0.65 (define @t127 () (or @t113 @t97 @t124)) % 0.44/0.65 (define @t128 () (or @t122 @t71 @t113 @t97 @t37)) % 0.44/0.65 (define @t129 () (or @t71 @t113 @t97 @t37)) % 0.44/0.65 (define @t130 () (or @t97 @t37)) % 0.44/0.65 (define @t131 () (not (= @t12 @t1))) % 0.44/0.65 (define @t132 () (not (= @t1 @t1))) % 0.44/0.65 (define @t133 () (or @t97 @t132 @t131)) % 0.44/0.65 (define @t134 () (not @t40)) % 0.44/0.65 (define @t135 () (not @t13)) % 0.44/0.65 (define @t136 () (or @t72 @t135 @t72 @t134)) % 0.44/0.65 (define @t137 () (or @t135 @t72 @t134)) % 0.44/0.65 (define @t138 () (forall @t14 @t137)) % 0.44/0.65 (define @t139 () (or @t71 @t113 @t138)) % 0.44/0.65 (define @t140 () (or @t71 @t113 @t137)) % 0.44/0.65 (define @t141 () (or @t135 @t72 @t71 @t134 @t113)) % 0.44/0.65 (define @t142 () (or @t72 @t71 @t134 @t113)) % 0.44/0.65 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.44/0.65 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.44/0.65 (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))))))))))) % 0.44/0.65 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.44/0.65 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.44/0.65 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.44/0.65 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.44/0.65 (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))))))))))))))))) % 0.44/0.65 (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)))))))))))))))) % 0.44/0.65 (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))))))))))))))))) % 0.44/0.65 (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))))))))))))))) % 0.44/0.65 (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))))))))))))))) % 0.44/0.65 (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))))))))))))))) % 0.44/0.65 (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))))))))))))) % 0.44/0.65 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.44/0.65 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.44/0.65 (assume @p17 (tptp.ssList tptp.nil)) % 0.44/0.65 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.44/0.65 (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))))))))))) % 0.44/0.65 (assume @p20 (forall @t9 (=> @t17 (or @t42 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t41 @t2))))))))) % 0.44/0.65 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.44/0.65 (assume @p22 (forall @t9 (=> @t17 (=> @t44 (tptp.ssItem @t43))))) % 0.44/0.65 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.44/0.65 (assume @p24 (forall @t9 (=> @t17 (=> @t44 (tptp.ssList @t45))))) % 0.44/0.65 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.44/0.65 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t46)))))) % 0.44/0.65 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t47) (tptp.app @t41 @t2))))))))) % 0.44/0.65 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.44/0.65 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 @t48) @t3)))))) % 0.44/0.65 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 @t26) (tptp.leq @t2 @t12))))))))) % 0.44/0.65 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.44/0.65 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 @t48)))))) % 0.44/0.65 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not @t51))))))) % 0.44/0.65 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t53)))))))) % 0.44/0.65 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 @t51)))))) % 0.44/0.65 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t55))))))))) % 0.44/0.65 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t55))))))))) % 0.44/0.65 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.44/0.65 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.44/0.65 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.44/0.65 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.44/0.65 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.44/0.65 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.44/0.65 (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)))))))))))) % 0.44/0.65 (assume 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(@t71)) % 0.44/0.65 (step @p215 :rule nary_cong :premises (@p214 @p180 @p213) :args (@t139)) % 0.44/0.65 (step @p216 :rule trans :premises (@p215 @p193)) % 0.44/0.65 (step @p217 :rule quant-miniscope-or :args ((= (forall @t14 @t140) @t139))) % 0.44/0.65 (step @p218 :rule aci_norm :args ((= @t141 @t140))) % 0.44/0.65 (step @p219 :rule cong :premises (@p218) :args ((forall @t14 @t141))) % 0.44/0.65 (step @p220 :rule trans :premises (@p219 @p217)) % 0.44/0.65 (step @p221 :rule trans :premises (@p220 @p216)) % 0.44/0.65 (step @p222 :rule aci_norm :args ((= (or @t135 @t142) @t141))) % 0.44/0.65 (step @p223 :rule bool-impl-elim :args (@t13 @t142)) % 0.44/0.65 (step @p224 :rule trans :premises (@p223 @p222)) % 0.44/0.65 (step @p225 :rule cong :premises (@p224) :args ((forall @t14 (=> @t13 @t142)))) % 0.44/0.65 (step @p226 :rule trans :premises (@p225 @p221)) % 0.44/0.65 (step @p227 :rule aci_norm :args ((= (or @t111 @t67) @t112))) % 0.44/0.65 (step @p228 :rule bool-impl-elim :args (@t68 @t67)) % 0.44/0.65 (step @p229 :rule trans :premises (@p228 @p227)) % 0.44/0.65 (step @p230 :rule cong :premises (@p229) :args (@t69)) % 0.44/0.65 (step @p231 :rule eq-symm :args (@t10 @t12)) % 0.44/0.65 (step @p232 :rule cong :premises (@p231) :args (@t70)) % 0.44/0.65 (step @p233 :rule refl :args (@t72)) % 0.44/0.65 (step @p234 :rule nary_cong :premises (@p233 @p214 @p232 @p230) :args (@t73)) % 0.44/0.65 (step @p235 :rule refl :args (@t13)) % 0.44/0.65 (step @p236 :rule cong :premises (@p235 @p234) :args (@t74)) % 0.44/0.65 (step @p237 :rule cong :premises (@p236) :args (@t75)) % 0.44/0.65 (step @p238 :rule trans :premises (@p237 @p226)) % 0.44/0.65 (step @p239 :rule refl :args (@t15)) % 0.44/0.65 (step @p240 :rule cong :premises (@p239 @p238) :args (@t76)) % 0.44/0.65 (step @p241 :rule cong :premises (@p240) :args (@t77)) % 0.44/0.65 (step @p242 :rule trans :premises (@p241 @p192)) % 0.44/0.65 (step @p243 :rule refl :args (@t21)) % 0.44/0.65 (step @p244 :rule cong :premises (@p243 @p242) :args (@t78)) % 0.44/0.65 (step @p245 :rule cong :premises (@p244) :args (@t79)) % 0.44/0.65 (step @p246 :rule trans :premises (@p245 @p160)) % 0.44/0.65 (step @p247 :rule refl :args (@t17)) % 0.44/0.65 (step @p248 :rule cong :premises (@p247 @p246) :args (@t80)) % 0.44/0.65 (step @p249 :rule trans :premises (@p248 @p100)) % 0.44/0.65 (step @p250 :rule cong :premises (@p249) :args (@t81)) % 0.44/0.65 (step @p251 :rule trans :premises (@p250 @p99)) % 0.44/0.65 (step @p252 :rule cong :premises (@p251) :args (@t82)) % 0.44/0.65 (step @p253 :rule trans :premises (@p252 @p98)) % 0.44/0.65 (step @p254 false :rule eq_resolve :premises (@p96 @p253)) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------