%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC129+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 : n005.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 08:58:10 AM UTC 2026 % Result : Theorem 0.37s 0.69s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC129+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 % 0.18/0.35 % Computer : n005.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 19:16:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.69 % SZS status Theorem % 0.37/0.69 % SZS output start Proof % 0.37/0.69 ( % 0.37/0.69 (declare-sort $$unsorted 0) % 0.37/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.nil $$unsorted) % 0.37/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.69 (define @t3 () (= @t2 @t1)) % 0.37/0.69 (define @t4 () (not @t3)) % 0.37/0.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.69 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.69 (define @t7 () (@list @t1)) % 0.37/0.69 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.69 (define @t9 () (@list @t2)) % 0.37/0.69 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.69 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.69 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.69 (define @t13 () (tptp.ssList @t10)) % 0.37/0.69 (define @t14 () (@list @t10)) % 0.37/0.69 (define @t15 () (tptp.ssList @t12)) % 0.37/0.69 (define @t16 () (@list @t12)) % 0.37/0.69 (define @t17 () (tptp.ssList @t2)) % 0.37/0.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.69 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.69 (define @t21 () (tptp.ssList @t1)) % 0.37/0.69 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.69 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.69 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.69 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.69 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.69 (define @t30 () (tptp.ssList @t27)) % 0.37/0.69 (define @t31 () (@list @t27)) % 0.37/0.69 (define @t32 () (tptp.ssList @t28)) % 0.37/0.69 (define @t33 () (@list @t28)) % 0.37/0.69 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.69 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.69 (define @t36 () (= @t1 @t12)) % 0.37/0.69 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.37/0.69 (define @t38 () (=> @t17 @t37)) % 0.37/0.69 (define @t39 () (forall @t9 @t38)) % 0.37/0.69 (define @t40 () (tptp.cons @t1 @t2)) % 0.37/0.69 (define @t41 () (tptp.ssList tptp.nil)) % 0.37/0.69 (define @t42 () (= @t1 @t2)) % 0.37/0.69 (define @t43 () (tptp.cons @t12 @t1)) % 0.37/0.69 (define @t44 () (= tptp.nil @t2)) % 0.37/0.69 (define @t45 () (tptp.hd @t2)) % 0.37/0.69 (define @t46 () (not @t44)) % 0.37/0.69 (define @t47 () (tptp.tl @t2)) % 0.37/0.69 (define @t48 () (tptp.app @t2 @t1)) % 0.37/0.69 (define @t49 () (tptp.app @t1 @t2)) % 0.37/0.69 (define @t50 () (tptp.leq @t1 @t2)) % 0.37/0.69 (define @t51 () (tptp.leq @t2 @t1)) % 0.37/0.69 (define @t52 () (tptp.geq @t2 @t1)) % 0.37/0.69 (define @t53 () (tptp.lt @t1 @t2)) % 0.37/0.69 (define @t54 () (tptp.lt @t2 @t1)) % 0.37/0.69 (define @t55 () (tptp.lt @t2 @t12)) % 0.37/0.69 (define @t56 () (tptp.gt @t2 @t1)) % 0.37/0.69 (define @t57 () (tptp.memberP @t12 @t2)) % 0.37/0.69 (define @t58 () (tptp.app @t12 @t2)) % 0.37/0.69 (define @t59 () (tptp.cons @t2 tptp.nil)) % 0.37/0.69 (define @t60 () (tptp.cyclefreeP tptp.nil)) % 0.37/0.69 (define @t61 () (tptp.hd @t1)) % 0.37/0.69 (define @t62 () (= tptp.nil @t1)) % 0.37/0.69 (define @t63 () (not @t62)) % 0.37/0.69 (define @t64 () (tptp.cons @t2 @t1)) % 0.37/0.69 (define @t65 () (= @t12 @t2)) % 0.37/0.69 (define @t66 () (tptp.cyclefreeP @t1)) % 0.37/0.69 (define @t67 () (tptp.neq @t10 tptp.nil)) % 0.37/0.69 (define @t68 () (not (= @t2 @t12))) % 0.37/0.69 (define @t69 () (not (= @t1 @t10))) % 0.37/0.69 (define @t70 () (or @t69 @t68 @t67 @t66)) % 0.37/0.69 (define @t71 () (forall @t14 (=> @t13 @t70))) % 0.37/0.69 (define @t72 () (=> @t15 @t71)) % 0.37/0.69 (define @t73 () (forall @t16 @t72)) % 0.37/0.69 (define @t74 () (=> @t21 @t73)) % 0.37/0.69 (define @t75 () (forall @t7 @t74)) % 0.37/0.69 (define @t76 () (=> @t17 @t75)) % 0.37/0.69 (define @t77 () (forall @t9 @t76)) % 0.37/0.69 (define @t78 () (not @t77)) % 0.37/0.69 (define @t79 () (not @t17)) % 0.37/0.69 (define @t80 () (tptp.neq @t1 tptp.nil)) % 0.37/0.69 (define @t81 () (not @t21)) % 0.37/0.69 (define @t82 () (or @t81 @t66 @t80)) % 0.37/0.69 (define @t83 () (forall @t7 @t82)) % 0.37/0.69 (define @t84 () (or @t83 @t79)) % 0.37/0.69 (define @t85 () (or @t79 @t83)) % 0.37/0.69 (define @t86 () (or @t79 @t82)) % 0.37/0.69 (define @t87 () (or @t81 @t66 @t80 @t79)) % 0.37/0.69 (define @t88 () (or @t66 @t81 @t80 @t79)) % 0.37/0.69 (define @t89 () (not (= @t2 @t2))) % 0.37/0.69 (define @t90 () (or @t79 @t89)) % 0.37/0.69 (define @t91 () (not @t15)) % 0.37/0.69 (define @t92 () (or @t68 @t91 @t68)) % 0.37/0.69 (define @t93 () (or @t91 @t68)) % 0.37/0.69 (define @t94 () (forall @t16 @t93)) % 0.37/0.69 (define @t95 () (or @t66 @t81 @t80 @t94)) % 0.37/0.69 (define @t96 () (or @t66 @t81 @t80 @t93)) % 0.37/0.69 (define @t97 () (or @t91 @t68 @t66 @t81 @t80)) % 0.37/0.69 (define @t98 () (or @t68 @t66 @t81 @t80)) % 0.37/0.69 (define @t99 () (or @t81 @t80)) % 0.37/0.69 (define @t100 () (not (= @t1 @t1))) % 0.37/0.69 (define @t101 () (or @t81 @t100 @t80)) % 0.37/0.69 (define @t102 () (not @t13)) % 0.37/0.69 (define @t103 () (or @t69 @t102 @t69 @t67)) % 0.37/0.69 (define @t104 () (or @t102 @t69 @t67)) % 0.37/0.69 (define @t105 () (forall @t14 @t104)) % 0.37/0.69 (define @t106 () (or @t68 @t66 @t105)) % 0.37/0.69 (define @t107 () (or @t68 @t66 @t104)) % 0.37/0.69 (define @t108 () (or @t102 @t69 @t68 @t67 @t66)) % 0.37/0.69 (define @t109 () (@quantifiers_skolemize @t83 0)) % 0.37/0.69 (define @t110 () (tptp.neq @t109 tptp.nil)) % 0.37/0.69 (define @t111 () (tptp.cyclefreeP @t109)) % 0.37/0.69 (define @t112 () (tptp.ssList @t109)) % 0.37/0.69 (define @t113 () (not @t112)) % 0.37/0.69 (define @t114 () (or @t113 @t111 @t110)) % 0.37/0.69 (define @t115 () (@list true)) % 0.37/0.69 (define @t116 () (@list @t114)) % 0.37/0.69 (define @t117 () (@var "BOUND_VARIABLE_9089" $$unsorted)) % 0.37/0.69 (define @t118 () (= (tptp.neq @t2 @t117) (not (= @t2 @t117)))) % 0.37/0.69 (define @t119 () (not (tptp.ssList @t117))) % 0.37/0.69 (define @t120 () (or @t79 @t119 @t118)) % 0.37/0.69 (define @t121 () (or @t119 @t118)) % 0.37/0.69 (define @t122 () (or @t79 @t121)) % 0.37/0.69 (define @t123 () (@list @t2 @t117)) % 0.37/0.69 (define @t124 () (forall @t123 @t122)) % 0.37/0.69 (define @t125 () (@list @t117)) % 0.37/0.69 (define @t126 () (forall @t125 @t122)) % 0.37/0.69 (define @t127 () (forall @t125 @t121)) % 0.37/0.69 (define @t128 () (or @t79 @t127)) % 0.37/0.69 (define @t129 () (forall @t7 (or @t81 @t5))) % 0.37/0.69 (define @t130 () (not (= @t109 tptp.nil))) % 0.37/0.69 (define @t131 () (= @t110 @t130)) % 0.37/0.69 (define @t132 () (not @t41)) % 0.37/0.69 (define @t133 () (or @t113 @t132 @t131)) % 0.37/0.69 (define @t134 () (forall @t123 @t120)) % 0.37/0.69 (define @t135 () (= tptp.nil @t109)) % 0.37/0.69 (define @t136 () (not @t135)) % 0.37/0.69 (define @t137 () (= @t110 @t136)) % 0.37/0.69 (define @t138 () (or @t113 @t132 @t137)) % 0.37/0.69 (define @t139 () (not @t137)) % 0.37/0.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.69 (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))))))))))) % 0.37/0.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.70 (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))))))))))))))))) % 0.37/0.70 (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)))))))))))))))) % 0.37/0.70 (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))))))))))))))))) % 0.37/0.70 (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))))))))))))))) % 0.37/0.70 (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))))))))))))))) % 0.37/0.70 (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)))))))))))))))) % 0.37/0.70 (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))))))))))))) % 0.37/0.70 (assume @p15 @t39) % 0.37/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.37/0.70 (assume @p17 @t41) % 0.37/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.37/0.70 (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) @t42))))))))))) % 0.37/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 0.37/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.37/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 0.37/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.37/0.70 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 0.37/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.37/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 0.37/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 0.37/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3)))))) % 0.37/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50)))))) % 0.37/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53))))))) % 0.37/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55)))))))) % 0.37/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53)))))) % 0.37/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57))))))))) % 0.37/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57))))))))) % 0.37/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.70 (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)))))))))))) % 0.37/0.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 0.37/0.70 (assume @p47 (forall @t9 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(=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55)))))))) % 0.37/0.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54))))))) % 0.37/0.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51))))))) % 0.37/0.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.70 (assume @p96 @t78) % 0.37/0.70 (assume @p97 true) % 0.37/0.70 (step @p98 :rule evaluate :args ((= true false))) % 0.37/0.70 (step @p99 :rule quant-miniscope-or :args ((= (forall @t9 @t84) (or @t83 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(step @p204 :rule alpha_equiv :args (@t127 (@list @t117) (@list @t1))) % 0.37/0.70 (step @p205 :rule refl :args (@t79)) % 0.37/0.70 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t128)) % 0.37/0.70 (step @p207 :rule quant-miniscope-or :args ((= @t126 @t128))) % 0.37/0.70 (step @p208 :rule trans :premises (@p207 @p206)) % 0.37/0.70 (step @p209 :rule symm :premises (@p208)) % 0.37/0.70 (step @p210 :rule cong :premises (@p209) :args ((forall @t9 (or @t79 @t129)))) % 0.37/0.70 (step @p211 :rule trans :premises (@p210 @p203)) % 0.37/0.70 (step @p212 :rule trans :premises (@p211 @p202)) % 0.37/0.70 (step @p213 :rule bool-impl-elim :args (@t17 @t129)) % 0.37/0.70 (step @p214 :rule cong :premises (@p213) :args ((forall @t9 (=> @t17 @t129)))) % 0.37/0.70 (step @p215 :rule trans :premises (@p214 @p212)) % 0.37/0.70 (step @p216 :rule bool-impl-elim :args (@t21 @t5)) % 0.37/0.70 (step @p217 :rule cong :premises (@p216) :args (@t37)) % 0.37/0.70 (step @p218 :rule cong :premises (@p190 @p217) :args (@t38)) % 0.37/0.70 (step @p219 :rule cong :premises (@p218) :args (@t39)) % 0.37/0.70 (step @p220 :rule trans :premises (@p219 @p215)) % 0.37/0.70 (step @p221 :rule eq_resolve :premises (@p15 @p220)) % 0.37/0.70 (step @p222 :rule eq-symm :args (@t109 tptp.nil)) % 0.37/0.70 (step @p223 :rule cong :premises (@p222) :args (@t130)) % 0.37/0.70 (step @p224 :rule refl :args (@t110)) % 0.37/0.70 (step @p225 :rule cong :premises (@p224 @p223) :args (@t131)) % 0.37/0.70 (step @p226 :rule refl :args (@t132)) % 0.37/0.70 (step @p227 :rule refl :args (@t113)) % 0.37/0.70 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225) :args (@t133)) % 0.37/0.70 (step @p229 :rule refl :args (@t134)) % 0.37/0.70 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t134 @t133))) % 0.37/0.70 (assume-push @p262 @t134) % 0.37/0.70 (step @p232 :rule instantiate :premises (@p221) :args ((@list @t109 tptp.nil))) % 0.37/0.70 (step-pop @p263 :rule scope :premises (@p232)) % 0.37/0.70 (step @p233 :rule process_scope :premises (@p263) :args (@t133)) % 0.37/0.70 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 0.37/0.70 (step @p236 :rule implies_elim :premises (@p235)) % 0.37/0.70 (step @p237 :rule chain_m_resolution :premises (@p236 @p221) :args (@t138 (@list false) (@list @t134))) % 0.37/0.70 (step @p238 :rule bool-double-not-elim :args (@t112)) % 0.37/0.70 (step @p239 :rule refl :args (@t114)) % 0.37/0.70 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t114 (not @t113)))) % 0.37/0.70 (step @p241 :rule cnf_or_neg :args (@t114 0)) % 0.37/0.70 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.37/0.70 (step @p243 :rule reordering :premises (@p242) :args ((or @t112 @t114))) % 0.37/0.70 (step @p244 :rule chain_m_resolution :premises (@p243 @p197) :args (@t112 @t115 @t116)) % 0.37/0.70 (step @p245 :rule cnf_or_pos :args (@t138)) % 0.37/0.70 (step @p246 :rule reordering :premises (@p245) :args ((or @t132 @t113 @t137 (not @t138)))) % 0.37/0.70 (step @p247 :rule chain_m_resolution :premises (@p246 @p17 @p244 @p237) :args (@t137 (@list false false false) (@list @t41 @t112 @t138))) % 0.37/0.70 (step @p248 :rule cnf_or_neg :args (@t114 2)) % 0.53/0.70 (step @p249 :rule chain_m_resolution :premises (@p248 @p197) :args ((not @t110) @t115 @t116)) % 0.53/0.70 (step @p250 :rule bool-double-not-elim :args (@t135)) % 0.53/0.70 (step @p251 :rule refl :args (@t139)) % 0.53/0.70 (step @p252 :rule nary_cong :premises (@p251 @p224 @p250) :args ((or @t139 @t110 (not @t136)))) % 0.53/0.70 (step @p253 :rule cnf_equiv_pos2 :args (@t137)) % 0.53/0.70 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 0.53/0.70 (step @p255 :rule reordering :premises (@p254) :args ((or @t110 @t135 @t139))) % 0.53/0.70 (step @p256 :rule chain_m_resolution :premises (@p255 @p249 @p247) :args (@t135 (@list true false) (@list @t110 @t137))) % 0.53/0.70 (step @p257 :rule cong :premises (@p256) :args (@t60)) % 0.53/0.70 (step @p258 :rule true_intro :premises (@p60)) % 0.53/0.70 (step @p259 :rule symm :premises (@p258)) % 0.53/0.70 (step @p260 :rule trans :premises (@p259 @p257 @p200)) % 0.53/0.70 (step @p261 false :rule eq_resolve :premises (@p260 @p98)) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.70 % cvc5 exiting %------------------------------------------------------------------------------