%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC121+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 : n024.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 08:58:08 AM UTC 2026 % Result : Theorem 0.16s 0.41s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC121+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 14:15:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.41 % SZS status Theorem % 0.16/0.41 % SZS output start Proof % 0.16/0.41 ( % 0.16/0.41 (declare-sort $$unsorted 0) % 0.16/0.41 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.nil $$unsorted) % 0.16/0.41 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (define @t1 () (@var "V" $$unsorted)) % 0.16/0.41 (define @t2 () (@var "U" $$unsorted)) % 0.16/0.41 (define @t3 () (= @t2 @t1)) % 0.16/0.41 (define @t4 () (not @t3)) % 0.16/0.41 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.16/0.41 (define @t6 () (tptp.ssItem @t1)) % 0.16/0.41 (define @t7 () (@list @t1)) % 0.16/0.41 (define @t8 () (tptp.ssItem @t2)) % 0.16/0.41 (define @t9 () (@list @t2)) % 0.16/0.41 (define @t10 () (@var "X" $$unsorted)) % 0.16/0.41 (define @t11 () (tptp.cons @t1 @t10)) % 0.16/0.41 (define @t12 () (@var "W" $$unsorted)) % 0.16/0.41 (define @t13 () (tptp.ssList @t10)) % 0.16/0.41 (define @t14 () (@list @t10)) % 0.16/0.41 (define @t15 () (tptp.ssList @t12)) % 0.16/0.41 (define @t16 () (@list @t12)) % 0.16/0.41 (define @t17 () (tptp.ssList @t2)) % 0.16/0.41 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.16/0.41 (define @t19 () (tptp.app @t1 @t12)) % 0.16/0.41 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.16/0.41 (define @t21 () (tptp.ssList @t1)) % 0.16/0.41 (define @t22 () (tptp.app @t12 @t1)) % 0.16/0.41 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.16/0.41 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.16/0.41 (define @t25 () (tptp.leq @t12 @t1)) % 0.16/0.41 (define @t26 () (tptp.leq @t1 @t12)) % 0.16/0.41 (define @t27 () (@var "Z" $$unsorted)) % 0.16/0.41 (define @t28 () (@var "Y" $$unsorted)) % 0.16/0.41 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.16/0.41 (define @t30 () (tptp.ssList @t27)) % 0.16/0.41 (define @t31 () (@list @t27)) % 0.16/0.41 (define @t32 () (tptp.ssList @t28)) % 0.16/0.41 (define @t33 () (@list @t28)) % 0.16/0.41 (define @t34 () (tptp.ssItem @t12)) % 0.16/0.41 (define @t35 () (tptp.lt @t1 @t12)) % 0.16/0.41 (define @t36 () (= @t1 @t12)) % 0.16/0.41 (define @t37 () (tptp.cons @t1 @t2)) % 0.16/0.41 (define @t38 () (= @t1 @t2)) % 0.16/0.41 (define @t39 () (tptp.cons @t12 @t1)) % 0.16/0.41 (define @t40 () (= tptp.nil @t2)) % 0.16/0.41 (define @t41 () (tptp.hd @t2)) % 0.16/0.41 (define @t42 () (not @t40)) % 0.16/0.41 (define @t43 () (tptp.tl @t2)) % 0.16/0.41 (define @t44 () (tptp.app @t2 @t1)) % 0.16/0.41 (define @t45 () (tptp.app @t1 @t2)) % 0.16/0.41 (define @t46 () (tptp.leq @t1 @t2)) % 0.16/0.41 (define @t47 () (tptp.leq @t2 @t1)) % 0.16/0.41 (define @t48 () (tptp.geq @t2 @t1)) % 0.16/0.41 (define @t49 () (tptp.lt @t1 @t2)) % 0.16/0.41 (define @t50 () (tptp.lt @t2 @t1)) % 0.16/0.41 (define @t51 () (tptp.lt @t2 @t12)) % 0.16/0.41 (define @t52 () (tptp.gt @t2 @t1)) % 0.16/0.41 (define @t53 () (tptp.memberP @t12 @t2)) % 0.16/0.41 (define @t54 () (tptp.app @t12 @t2)) % 0.16/0.41 (define @t55 () (tptp.segmentP @t1 @t12)) % 0.16/0.41 (define @t56 () (tptp.segmentP @t1 @t2)) % 0.16/0.41 (define @t57 () (tptp.cons @t2 tptp.nil)) % 0.16/0.41 (define @t58 () (tptp.hd @t1)) % 0.16/0.41 (define @t59 () (= tptp.nil @t1)) % 0.16/0.41 (define @t60 () (not @t59)) % 0.16/0.41 (define @t61 () (tptp.cons @t2 @t1)) % 0.16/0.41 (define @t62 () (= @t12 @t2)) % 0.16/0.41 (define @t63 () (tptp.neq @t1 tptp.nil)) % 0.16/0.41 (define @t64 () (not @t63)) % 0.16/0.41 (define @t65 () (tptp.neq @t2 tptp.nil)) % 0.16/0.41 (define @t66 () (and @t65 @t56)) % 0.16/0.41 (define @t67 () (not (tptp.neq @t12 tptp.nil))) % 0.16/0.41 (define @t68 () (and (or @t64 @t67 (not (tptp.segmentP @t10 @t12)) @t66) (or @t64 (tptp.neq @t10 tptp.nil)))) % 0.16/0.41 (define @t69 () (not (= @t2 @t12))) % 0.16/0.41 (define @t70 () (not (= @t1 @t10))) % 0.16/0.41 (define @t71 () (or @t70 @t69 @t68)) % 0.16/0.41 (define @t72 () (forall @t14 (=> @t13 @t71))) % 0.16/0.41 (define @t73 () (=> @t15 @t72)) % 0.16/0.41 (define @t74 () (forall @t16 @t73)) % 0.16/0.41 (define @t75 () (=> @t21 @t74)) % 0.16/0.41 (define @t76 () (forall @t7 @t75)) % 0.16/0.41 (define @t77 () (=> @t17 @t76)) % 0.16/0.41 (define @t78 () (forall @t9 @t77)) % 0.16/0.41 (define @t79 () (not @t78)) % 0.16/0.41 (define @t80 () (@var "BOUND_VARIABLE_10964" $$unsorted)) % 0.16/0.41 (define @t81 () (tptp.segmentP @t80 @t2)) % 0.16/0.41 (define @t82 () (not @t81)) % 0.16/0.41 (define @t83 () (and @t65 @t81)) % 0.16/0.41 (define @t84 () (not (tptp.neq @t80 tptp.nil))) % 0.16/0.41 (define @t85 () (not (tptp.ssList @t80))) % 0.16/0.41 (define @t86 () (not @t65)) % 0.16/0.41 (define @t87 () (not @t17)) % 0.16/0.41 (define @t88 () (or @t87 @t86 @t85 @t84 @t83 @t82)) % 0.16/0.41 (define @t89 () (or @t85 @t84 @t83 @t82)) % 0.16/0.41 (define @t90 () (or @t87 @t86 @t89)) % 0.16/0.41 (define @t91 () (@list @t2 @t80)) % 0.16/0.41 (define @t92 () (forall @t91 @t90)) % 0.16/0.41 (define @t93 () (@list @t80)) % 0.16/0.41 (define @t94 () (forall @t93 @t90)) % 0.16/0.41 (define @t95 () (forall @t93 @t89)) % 0.16/0.41 (define @t96 () (or @t87 @t86 @t95)) % 0.16/0.41 (define @t97 () (not @t56)) % 0.16/0.41 (define @t98 () (not @t21)) % 0.16/0.41 (define @t99 () (or @t98 @t64 @t66 @t97)) % 0.16/0.41 (define @t100 () (or @t87 @t86 (forall @t7 @t99))) % 0.16/0.41 (define @t101 () (or @t87 @t86 @t99)) % 0.16/0.41 (define @t102 () (or @t98 @t64 @t66 @t87 @t86 @t97)) % 0.16/0.41 (define @t103 () (or @t87 @t86 @t97)) % 0.16/0.41 (define @t104 () (not (= @t2 @t2))) % 0.16/0.41 (define @t105 () (or @t87 @t104 @t86 @t97)) % 0.16/0.41 (define @t106 () (not @t55)) % 0.16/0.41 (define @t107 () (not @t15)) % 0.16/0.41 (define @t108 () (or @t69 @t107 @t69 @t67 @t106)) % 0.16/0.41 (define @t109 () (or @t107 @t69 @t67 @t106)) % 0.16/0.41 (define @t110 () (forall @t16 @t109)) % 0.16/0.41 (define @t111 () (or @t98 @t64 @t66 @t110)) % 0.16/0.41 (define @t112 () (or @t98 @t64 @t66 @t109)) % 0.16/0.41 (define @t113 () (or @t107 @t69 @t98 @t64 @t67 @t106 @t66)) % 0.16/0.41 (define @t114 () (or @t64 @t67 @t106 @t66)) % 0.16/0.41 (define @t115 () (and @t114 true)) % 0.16/0.41 (define @t116 () (or @t107 @t69 @t98 @t115)) % 0.16/0.41 (define @t117 () (and @t114 (or @t64 @t63))) % 0.16/0.41 (define @t118 () (or @t69 @t98 @t117)) % 0.16/0.41 (define @t119 () (or @t98 @t117)) % 0.16/0.41 (define @t120 () (not (= @t1 @t1))) % 0.16/0.41 (define @t121 () (or @t98 @t120 @t117)) % 0.16/0.41 (define @t122 () (not @t13)) % 0.16/0.41 (define @t123 () (or @t70 @t122 @t70 @t68)) % 0.16/0.41 (define @t124 () (or @t122 @t70 @t68)) % 0.16/0.41 (define @t125 () (forall @t14 @t124)) % 0.16/0.41 (define @t126 () (or @t69 @t125)) % 0.16/0.41 (define @t127 () (or @t69 @t124)) % 0.16/0.41 (define @t128 () (or @t122 @t70 @t69 @t68)) % 0.16/0.41 (define @t129 () (forall @t91 @t88)) % 0.16/0.41 (define @t130 () (@quantifiers_skolemize @t129 0)) % 0.16/0.41 (define @t131 () (@quantifiers_skolemize @t129 1)) % 0.16/0.41 (define @t132 () (tptp.segmentP @t131 @t130)) % 0.16/0.41 (define @t133 () (not @t132)) % 0.16/0.41 (define @t134 () (tptp.neq @t130 tptp.nil)) % 0.16/0.41 (define @t135 () (and @t134 @t132)) % 0.16/0.41 (define @t136 () (not @t134)) % 0.16/0.41 (define @t137 () (or (not (tptp.ssList @t130)) @t136 (not (tptp.ssList @t131)) (not (tptp.neq @t131 tptp.nil)) @t135 @t133)) % 0.16/0.41 (define @t138 () (@list true)) % 0.16/0.41 (define @t139 () (@list @t137)) % 0.16/0.41 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.16/0.41 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.16/0.41 (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))))))))))) % 0.16/0.41 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.16/0.41 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.16/0.41 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.16/0.41 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.16/0.41 (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))))))))))))))))) % 0.16/0.41 (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)))))))))))))))) % 0.16/0.41 (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))))))))))))))))) % 0.16/0.41 (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))))))))))))))) % 0.16/0.41 (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))))))))))))))) % 0.16/0.41 (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)))))))))))))))) % 0.16/0.41 (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))))))))))))) % 0.16/0.41 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.16/0.41 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.16/0.41 (assume @p17 (tptp.ssList tptp.nil)) % 0.16/0.41 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.16/0.41 (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))))))))))) % 0.16/0.41 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.16/0.41 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.16/0.41 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.16/0.41 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.16/0.41 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.16/0.41 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.16/0.41 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.16/0.41 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.16/0.41 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.16/0.41 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.16/0.41 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.16/0.41 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.16/0.41 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.16/0.41 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.16/0.41 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.16/0.41 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.16/0.41 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.16/0.41 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.16/0.41 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.16/0.41 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.16/0.41 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.16/0.41 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.16/0.41 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.16/0.41 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.16/0.41 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= 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(assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.16/0.41 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.16/0.41 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.16/0.41 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.16/0.41 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.16/0.41 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.16/0.41 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.16/0.41 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.16/0.41 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.16/0.41 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> 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:rule trans :premises (@p213 @p178)) % 0.16/0.41 (step @p215 :rule refl :args (@t21)) % 0.16/0.41 (step @p216 :rule cong :premises (@p215 @p214) :args (@t75)) % 0.16/0.41 (step @p217 :rule cong :premises (@p216) :args (@t76)) % 0.16/0.41 (step @p218 :rule trans :premises (@p217 @p124)) % 0.16/0.41 (step @p219 :rule refl :args (@t17)) % 0.16/0.41 (step @p220 :rule cong :premises (@p219 @p218) :args (@t77)) % 0.16/0.41 (step @p221 :rule cong :premises (@p220) :args (@t78)) % 0.16/0.41 (step @p222 :rule trans :premises (@p221 @p115)) % 0.16/0.41 (step @p223 :rule cong :premises (@p222) :args (@t79)) % 0.16/0.41 (step @p224 :rule eq_resolve :premises (@p96 @p223)) % 0.16/0.41 (step @p225 :rule skolemize :premises (@p224)) % 0.16/0.41 (step @p226 :rule cnf_or_neg :args (@t137 4)) % 0.16/0.41 (step @p227 :rule chain_m_resolution :premises (@p226 @p225) :args ((not @t135) @t138 @t139)) % 0.16/0.41 (step @p228 :rule bool-double-not-elim :args (@t134)) % 0.16/0.41 (step @p229 :rule refl :args (@t137)) % 0.16/0.41 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t137 (not @t136)))) % 0.16/0.41 (step @p231 :rule cnf_or_neg :args (@t137 1)) % 0.16/0.41 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.16/0.41 (step @p233 :rule reordering :premises (@p232) :args ((or @t134 @t137))) % 0.16/0.41 (step @p234 :rule chain_m_resolution :premises (@p233 @p225) :args (@t134 @t138 @t139)) % 0.16/0.41 (step @p235 :rule bool-double-not-elim :args (@t132)) % 0.16/0.41 (step @p236 :rule nary_cong :premises (@p229 @p235) :args ((or @t137 (not @t133)))) % 0.16/0.41 (step @p237 :rule cnf_or_neg :args (@t137 5)) % 0.16/0.41 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.16/0.41 (step @p239 :rule reordering :premises (@p238) :args ((or @t132 @t137))) % 0.16/0.41 (step @p240 :rule chain_m_resolution :premises (@p239 @p225) :args (@t132 @t138 @t139)) % 0.16/0.41 (step @p241 :rule cnf_and_neg :args (@t135)) % 0.16/0.41 (step @p242 :rule reordering :premises (@p241) :args ((or @t136 @t135 @t133))) % 0.16/0.41 (step @p243 false :rule chain_m_resolution :premises (@p242 @p240 @p234 @p227) :args (false (@list false false true) (@list @t132 @t134 @t135))) % 0.16/0.41 ) % 0.16/0.41 % SZS output end Proof % 0.16/0.41 % cvc5 exiting %------------------------------------------------------------------------------