%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET751+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:48:34 AM UTC 2026 % Result : Theorem 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET751+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 16:10:33 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.38 % SZS status Theorem % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.empty_set $$unsorted) % 0.15/0.38 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.38 (define @t2 () (@var "X" $$unsorted)) % 0.15/0.38 (define @t3 () (tptp.member @t2 @t1)) % 0.15/0.38 (define @t4 () (@var "A" $$unsorted)) % 0.15/0.38 (define @t5 () (tptp.member @t2 @t4)) % 0.15/0.38 (define @t6 () (@list @t2)) % 0.15/0.38 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.15/0.38 (define @t8 () (tptp.subset @t4 @t1)) % 0.15/0.38 (define @t9 () (= @t8 @t7)) % 0.15/0.38 (define @t10 () (@list @t4 @t1)) % 0.15/0.38 (define @t11 () (forall @t10 @t9)) % 0.15/0.38 (define @t12 () (tptp.subset @t2 @t4)) % 0.15/0.38 (define @t13 () (@list @t2 @t4)) % 0.15/0.38 (define @t14 () (@list @t2 @t4 @t1)) % 0.15/0.38 (define @t15 () (@var "E" $$unsorted)) % 0.15/0.38 (define @t16 () (= @t2 @t4)) % 0.15/0.38 (define @t17 () (@var "Y" $$unsorted)) % 0.15/0.38 (define @t18 () (tptp.member @t2 @t17)) % 0.15/0.38 (define @t19 () (tptp.member @t17 @t4)) % 0.15/0.38 (define @t20 () (@list @t17)) % 0.15/0.38 (define @t21 () (@var "Y2" $$unsorted)) % 0.15/0.38 (define @t22 () (@var "Y1" $$unsorted)) % 0.15/0.38 (define @t23 () (= @t22 @t21)) % 0.15/0.38 (define @t24 () (@var "F" $$unsorted)) % 0.15/0.38 (define @t25 () (tptp.apply @t24 @t2 @t22)) % 0.15/0.38 (define @t26 () (tptp.member @t21 @t1)) % 0.15/0.38 (define @t27 () (tptp.member @t22 @t1)) % 0.15/0.38 (define @t28 () (and @t5 @t27 @t26)) % 0.15/0.38 (define @t29 () (@list @t2 @t22 @t21)) % 0.15/0.38 (define @t30 () (tptp.apply @t24 @t2 @t17)) % 0.15/0.38 (define @t31 () (tptp.member @t17 @t1)) % 0.15/0.38 (define @t32 () (exists @t20 (and @t31 @t30))) % 0.15/0.38 (define @t33 () (tptp.maps @t24 @t4 @t1)) % 0.15/0.38 (define @t34 () (@list @t24 @t4 @t1)) % 0.15/0.38 (define @t35 () (@var "Z" $$unsorted)) % 0.15/0.38 (define @t36 () (@var "G" $$unsorted)) % 0.15/0.38 (define @t37 () (exists @t20 (and @t31 @t30 (tptp.apply @t36 @t17 @t35)))) % 0.15/0.38 (define @t38 () (@var "H" $$unsorted)) % 0.15/0.38 (define @t39 () (@var "C" $$unsorted)) % 0.15/0.38 (define @t40 () (and @t5 (tptp.member @t35 @t39))) % 0.15/0.38 (define @t41 () (@var "X2" $$unsorted)) % 0.15/0.38 (define @t42 () (@var "X1" $$unsorted)) % 0.15/0.38 (define @t43 () (tptp.member @t41 @t4)) % 0.15/0.38 (define @t44 () (tptp.member @t42 @t4)) % 0.15/0.38 (define @t45 () (tptp.injective @t24 @t4 @t1)) % 0.15/0.38 (define @t46 () (tptp.surjective @t24 @t4 @t1)) % 0.15/0.38 (define @t47 () (tptp.one_to_one @t24 @t4 @t1)) % 0.15/0.38 (define @t48 () (and @t5 @t31)) % 0.15/0.38 (define @t49 () (@list @t24 @t4 @t1 @t2 @t17)) % 0.15/0.38 (define @t50 () (and @t5 @t30)) % 0.15/0.38 (define @t51 () (exists @t6 @t50)) % 0.15/0.38 (define @t52 () (tptp.member @t17 (tptp.image2 @t24 @t4))) % 0.15/0.38 (define @t53 () (= @t52 @t51)) % 0.15/0.38 (define @t54 () (forall (@list @t24 @t4 @t17) @t53)) % 0.15/0.38 (define @t55 () (@var "S" $$unsorted)) % 0.15/0.38 (define @t56 () (tptp.apply @t55 @t22 @t21)) % 0.15/0.38 (define @t57 () (tptp.apply @t24 @t41 @t21)) % 0.15/0.38 (define @t58 () (tptp.apply @t24 @t42 @t22)) % 0.15/0.38 (define @t59 () (@var "R" $$unsorted)) % 0.15/0.38 (define @t60 () (tptp.apply @t59 @t42 @t41)) % 0.15/0.38 (define @t61 () (and @t44 @t27 @t43 @t26 @t60 @t58 @t57)) % 0.15/0.38 (define @t62 () (@list @t42 @t22 @t41 @t21)) % 0.15/0.38 (define @t63 () (@list @t24 @t4 @t59 @t1 @t55)) % 0.15/0.38 (define @t64 () (tptp.subset (tptp.image2 @t24 @t2) (tptp.image2 @t24 @t17))) % 0.15/0.38 (define @t65 () (tptp.subset @t2 @t17)) % 0.15/0.38 (define @t66 () (tptp.subset @t17 @t4)) % 0.15/0.38 (define @t67 () (and @t33 @t12 @t66 @t65)) % 0.15/0.38 (define @t68 () (forall @t49 (=> @t67 @t64))) % 0.15/0.38 (define @t69 () (not @t68)) % 0.15/0.38 (define @t70 () (forall @t6 (not @t50))) % 0.15/0.38 (define @t71 () (not @t70)) % 0.15/0.38 (define @t72 () (not @t65)) % 0.15/0.38 (define @t73 () (not @t66)) % 0.15/0.38 (define @t74 () (not @t12)) % 0.15/0.38 (define @t75 () (not @t33)) % 0.15/0.38 (define @t76 () (or @t75 @t74 @t73 @t72 @t64)) % 0.15/0.38 (define @t77 () (forall @t49 @t76)) % 0.15/0.38 (define @t78 () (@quantifiers_skolemize @t77 4)) % 0.15/0.38 (define @t79 () (@quantifiers_skolemize @t77 0)) % 0.15/0.38 (define @t80 () (tptp.image2 @t79 @t78)) % 0.15/0.38 (define @t81 () (@quantifiers_skolemize @t77 3)) % 0.15/0.38 (define @t82 () (tptp.image2 @t79 @t81)) % 0.15/0.38 (define @t83 () (forall @t6 (or (not (tptp.member @t2 @t82)) (tptp.member @t2 @t80)))) % 0.15/0.38 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.15/0.38 (define @t85 () (or @t75 @t74 @t73 @t72)) % 0.15/0.38 (define @t86 () (tptp.subset @t82 @t80)) % 0.15/0.38 (define @t87 () (tptp.subset @t81 @t78)) % 0.15/0.38 (define @t88 () (not @t87)) % 0.15/0.38 (define @t89 () (@quantifiers_skolemize @t77 1)) % 0.15/0.38 (define @t90 () (or (not (tptp.maps @t79 @t89 (@quantifiers_skolemize @t77 2))) (not (tptp.subset @t81 @t89)) (not (tptp.subset @t78 @t89)) @t88 @t86)) % 0.15/0.38 (define @t91 () (@list true)) % 0.15/0.38 (define @t92 () (@list @t90)) % 0.15/0.38 (define @t93 () (= @t86 @t83)) % 0.15/0.38 (define @t94 () (not @t83)) % 0.15/0.38 (define @t95 () (@list true false)) % 0.15/0.38 (define @t96 () (tptp.member @t84 @t82)) % 0.15/0.38 (define @t97 () (tptp.member @t84 @t80)) % 0.15/0.38 (define @t98 () (not @t96)) % 0.15/0.38 (define @t99 () (or @t98 @t97)) % 0.15/0.38 (define @t100 () (@list @t99)) % 0.15/0.38 (define @t101 () (not (tptp.apply @t79 @t2 @t84))) % 0.15/0.38 (define @t102 () (not (tptp.member @t2 @t81))) % 0.15/0.38 (define @t103 () (forall @t6 (or @t102 @t101))) % 0.15/0.38 (define @t104 () (not @t103)) % 0.15/0.38 (define @t105 () (= @t96 @t104)) % 0.15/0.38 (define @t106 () (@list false false)) % 0.15/0.38 (define @t107 () (@quantifiers_skolemize @t103 0)) % 0.15/0.38 (define @t108 () (tptp.apply @t79 @t107 @t84)) % 0.15/0.38 (define @t109 () (not @t108)) % 0.15/0.38 (define @t110 () (tptp.member @t107 @t81)) % 0.15/0.38 (define @t111 () (not @t110)) % 0.15/0.38 (define @t112 () (or @t111 @t109)) % 0.15/0.38 (define @t113 () (@list @t112)) % 0.15/0.38 (define @t114 () (tptp.member @t2 @t78)) % 0.15/0.38 (define @t115 () (forall @t6 (or (not @t114) @t101))) % 0.15/0.38 (define @t116 () (not @t115)) % 0.15/0.38 (define @t117 () (= @t97 @t116)) % 0.15/0.38 (define @t118 () (not @t117)) % 0.15/0.38 (define @t119 () (@list @t107)) % 0.15/0.38 (define @t120 () (forall @t6 (or @t102 @t114))) % 0.15/0.38 (define @t121 () (= @t87 @t120)) % 0.15/0.38 (define @t122 () (tptp.member @t107 @t78)) % 0.15/0.38 (define @t123 () (or @t111 @t122)) % 0.15/0.38 (define @t124 () (not @t122)) % 0.15/0.38 (define @t125 () (or @t124 @t109)) % 0.15/0.38 (assume @p1 @t11) % 0.15/0.38 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.15/0.38 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) @t12))) % 0.15/0.38 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.15/0.38 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.15/0.38 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.15/0.38 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.15/0.38 (assume @p8 (forall @t13 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.15/0.38 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.15/0.38 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.15/0.38 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.15/0.38 (assume @p12 (forall @t34 (= @t33 (and (forall @t6 (=> @t5 @t32)) (forall @t29 (=> @t28 (=> (and @t25 (tptp.apply @t24 @t2 @t21)) @t23))))))) % 0.15/0.38 (assume @p13 (forall (@list @t38 @t36 @t24 @t4 @t1 @t39) (= (tptp.compose_predicate @t38 @t36 @t24 @t4 @t1 @t39) (forall (@list @t2 @t35) (=> @t40 (= (tptp.apply @t38 @t2 @t35) @t37)))))) % 0.15/0.38 (assume @p14 (forall (@list @t36 @t24 @t4 @t1 @t39 @t2 @t35) (=> @t40 (= (tptp.apply (tptp.compose_function @t36 @t24 @t4 @t1 @t39) @t2 @t35) @t37)))) % 0.15/0.38 (assume @p15 (forall (@list @t24 @t36 @t4 @t1) (= (tptp.equal_maps @t24 @t36 @t4 @t1) (forall @t29 (=> @t28 (=> (and @t25 (tptp.apply @t36 @t2 @t21)) @t23)))))) % 0.15/0.38 (assume @p16 (forall (@list @t24 @t4) (= (tptp.identity @t24 @t4) (forall @t6 (=> @t5 (tptp.apply @t24 @t2 @t2)))))) % 0.15/0.38 (assume @p17 (forall @t34 (= @t45 (forall (@list @t42 @t41 @t17) (=> (and @t44 @t43 @t31) (=> (and (tptp.apply @t24 @t42 @t17) (tptp.apply @t24 @t41 @t17)) (= @t42 @t41))))))) % 0.15/0.38 (assume @p18 (forall @t34 (= @t46 (forall @t20 (=> @t31 (exists (@list @t15) (and (tptp.member @t15 @t4) (tptp.apply @t24 @t15 @t17)))))))) % 0.15/0.38 (assume @p19 (forall @t34 (= @t47 (and @t45 @t46)))) % 0.15/0.38 (assume @p20 (forall (@list @t36 @t24 @t4 @t1) (= (tptp.inverse_predicate @t36 @t24 @t4 @t1) (forall (@list @t2 @t17) (=> @t48 (= @t30 (tptp.apply @t36 @t17 @t2))))))) % 0.15/0.38 (assume @p21 (forall @t49 (=> @t48 (= @t30 (tptp.apply (tptp.inverse_function @t24 @t4 @t1) @t17 @t2))))) % 0.15/0.38 (assume @p22 @t54) % 0.15/0.38 (assume @p23 (forall (@list @t24 @t4 @t1 @t17) (= (tptp.member @t17 (tptp.image3 @t24 @t4 @t1)) (and @t31 @t51)))) % 0.15/0.38 (assume @p24 (forall (@list @t24 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t24 @t1)) @t32))) % 0.15/0.38 (assume @p25 (forall (@list @t24 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t24 @t1 @t4)) (and @t5 @t32)))) % 0.15/0.38 (assume @p26 (forall @t63 (= (tptp.increasing @t24 @t4 @t59 @t1 @t55) (forall @t62 (=> @t61 @t56))))) % 0.15/0.38 (assume @p27 (forall @t63 (= (tptp.decreasing @t24 @t4 @t59 @t1 @t55) (forall @t62 (=> @t61 (tptp.apply @t55 @t21 @t22)))))) % 0.15/0.38 (assume @p28 (forall @t63 (= (tptp.isomorphism @t24 @t4 @t59 @t1 @t55) (and @t33 @t47 (forall @t62 (=> (and @t44 @t27 @t43 @t26 @t58 @t57) (= @t60 @t56))))))) % 0.15/0.38 (assume @p29 @t69) % 0.15/0.38 (assume @p30 true) % 0.15/0.38 (step @p31 :rule bool-and-de-morgan :args (@t5 @t30 true)) % 0.15/0.38 (step @p32 :rule cong :premises (@p31) :args (@t70)) % 0.15/0.38 (step @p33 :rule cong :premises (@p32) :args (@t71)) % 0.15/0.38 (step @p34 :rule exists-elim :args ((= @t51 @t71))) % 0.15/0.38 (step @p35 :rule trans :premises (@p34 @p33)) % 0.15/0.38 (step @p36 :rule refl :args (@t52)) % 0.15/0.38 (step @p37 :rule cong :premises (@p36 @p35) :args (@t53)) % 0.15/0.38 (step @p38 :rule cong :premises (@p37) :args (@t54)) % 0.15/0.38 (step @p39 :rule eq_resolve :premises (@p22 @p38)) % 0.15/0.38 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t79 @t81 @t84))) % 0.15/0.38 (step @p41 :rule bool-impl-elim :args (@t5 @t3)) % 0.15/0.38 (step @p42 :rule cong :premises (@p41) :args (@t7)) % 0.15/0.38 (step @p43 :rule refl :args (@t8)) % 0.15/0.38 (step @p44 :rule cong :premises (@p43 @p42) :args (@t9)) % 0.15/0.38 (step @p45 :rule cong :premises (@p44) :args (@t11)) % 0.15/0.38 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.15/0.38 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t82 @t80))) % 0.15/0.38 (step @p48 :rule aci_norm :args ((= (or @t85 @t64) @t76))) % 0.15/0.38 (step @p49 :rule refl :args (@t64)) % 0.15/0.38 (step @p50 :rule aci_norm :args ((= (or @t75 (or @t74 (or @t73 @t72))) @t85))) % 0.15/0.38 (step @p51 :rule bool-and-de-morgan :args (@t66 @t65 true)) % 0.15/0.38 (step @p52 :rule refl :args (@t74)) % 0.15/0.38 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t74 (not (and @t66 @t65))))) % 0.15/0.38 (step @p54 :rule bool-and-de-morgan :args (@t12 @t66 (and @t65))) % 0.15/0.38 (step @p55 :rule trans :premises (@p54 @p53)) % 0.15/0.38 (step @p56 :rule refl :args (@t75)) % 0.15/0.38 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t75 (not (and @t12 @t66 @t65))))) % 0.15/0.38 (step @p58 :rule bool-and-de-morgan :args (@t33 @t12 (and @t66 @t65))) % 0.15/0.38 (step @p59 :rule trans :premises (@p58 @p57)) % 0.15/0.38 (step @p60 :rule trans :premises (@p59 @p50)) % 0.15/0.38 (step @p61 :rule nary_cong :premises (@p60 @p49) :args ((or (not @t67) @t64))) % 0.15/0.38 (step @p62 :rule trans :premises (@p61 @p48)) % 0.15/0.38 (step @p63 :rule bool-impl-elim :args (@t67 @t64)) % 0.15/0.38 (step @p64 :rule trans :premises (@p63 @p62)) % 0.15/0.38 (step @p65 :rule cong :premises (@p64) :args (@t68)) % 0.15/0.38 (step @p66 :rule cong :premises (@p65) :args (@t69)) % 0.15/0.38 (step @p67 :rule eq_resolve :premises (@p29 @p66)) % 0.15/0.38 (step @p68 :rule skolemize :premises (@p67)) % 0.15/0.38 (step @p69 :rule cnf_or_neg :args (@t90 4)) % 0.15/0.38 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args ((not @t86) @t91 @t92)) % 0.15/0.38 (step @p71 :rule cnf_equiv_pos2 :args (@t93)) % 0.15/0.38 (step @p72 :rule reordering :premises (@p71) :args ((or @t86 @t94 (not @t93)))) % 0.15/0.38 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p47) :args (@t94 @t95 (@list @t86 @t93))) % 0.15/0.38 (step @p74 :rule skolemize :premises (@p73)) % 0.15/0.38 (step @p75 :rule bool-double-not-elim :args (@t96)) % 0.15/0.38 (step @p76 :rule refl :args (@t99)) % 0.15/0.38 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t99 (not @t98)))) % 0.15/0.38 (step @p78 :rule cnf_or_neg :args (@t99 0)) % 0.15/0.38 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.15/0.38 (step @p80 :rule reordering :premises (@p79) :args ((or @t96 @t99))) % 0.15/0.38 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t96 @t91 @t100)) % 0.15/0.38 (step @p82 :rule cnf_equiv_pos1 :args (@t105)) % 0.15/0.38 (step @p83 :rule reordering :premises (@p82) :args ((or @t98 @t104 (not @t105)))) % 0.15/0.38 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p40) :args (@t104 @t106 (@list @t96 @t105))) % 0.15/0.38 (step @p85 :rule skolemize :premises (@p84)) % 0.15/0.38 (step @p86 :rule bool-double-not-elim :args (@t108)) % 0.15/0.38 (step @p87 :rule refl :args (@t112)) % 0.15/0.38 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t112 (not @t109)))) % 0.15/0.38 (step @p89 :rule cnf_or_neg :args (@t112 1)) % 0.15/0.38 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.15/0.38 (step @p91 :rule reordering :premises (@p90) :args ((or @t108 @t112))) % 0.15/0.38 (step @p92 :rule chain_m_resolution :premises (@p91 @p85) :args (@t108 @t91 @t113)) % 0.15/0.38 (step @p93 :rule instantiate :premises (@p39) :args ((@list @t79 @t78 @t84))) % 0.15/0.38 (step @p94 :rule cnf_or_neg :args (@t99 1)) % 0.15/0.38 (step @p95 :rule chain_m_resolution :premises (@p94 @p74) :args ((not @t97) @t91 @t100)) % 0.15/0.38 (step @p96 :rule bool-double-not-elim :args (@t115)) % 0.15/0.38 (step @p97 :rule refl :args (@t97)) % 0.15/0.38 (step @p98 :rule refl :args (@t118)) % 0.15/0.38 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args ((or @t118 @t97 (not @t116)))) % 0.15/0.38 (step @p100 :rule cnf_equiv_pos2 :args (@t117)) % 0.15/0.38 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.15/0.38 (step @p102 :rule reordering :premises (@p101) :args ((or @t97 @t115 @t118))) % 0.15/0.38 (step @p103 :rule chain_m_resolution :premises (@p102 @p95 @p93) :args (@t115 @t95 (@list @t97 @t117))) % 0.15/0.38 (step @p104 :rule instantiate :premises (@p103) :args (@t119)) % 0.15/0.38 (step @p105 :rule instantiate :premises (@p46) :args ((@list @t81 @t78))) % 0.15/0.38 (step @p106 :rule bool-double-not-elim :args (@t87)) % 0.15/0.38 (step @p107 :rule refl :args (@t90)) % 0.15/0.38 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t90 (not @t88)))) % 0.15/0.38 (step @p109 :rule cnf_or_neg :args (@t90 3)) % 0.15/0.38 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.15/0.38 (step @p111 :rule reordering :premises (@p110) :args ((or @t87 @t90))) % 0.15/0.38 (step @p112 :rule chain_m_resolution :premises (@p111 @p68) :args (@t87 @t91 @t92)) % 0.15/0.38 (step @p113 :rule cnf_equiv_pos1 :args (@t121)) % 0.15/0.38 (step @p114 :rule reordering :premises (@p113) :args ((or @t88 @t120 (not @t121)))) % 0.15/0.38 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p105) :args (@t120 @t106 (@list @t87 @t121))) % 0.15/0.38 (step @p116 :rule instantiate :premises (@p115) :args (@t119)) % 0.15/0.38 (step @p117 :rule bool-double-not-elim :args (@t110)) % 0.15/0.38 (step @p118 :rule nary_cong :premises (@p87 @p117) :args ((or @t112 (not @t111)))) % 0.15/0.38 (step @p119 :rule cnf_or_neg :args (@t112 0)) % 0.15/0.38 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.15/0.38 (step @p121 :rule reordering :premises (@p120) :args ((or @t110 @t112))) % 0.15/0.38 (step @p122 :rule chain_m_resolution :premises (@p121 @p85) :args (@t110 @t91 @t113)) % 0.15/0.38 (step @p123 :rule cnf_or_pos :args (@t123)) % 0.15/0.38 (step @p124 :rule reordering :premises (@p123) :args ((or @t111 @t122 (not @t123)))) % 0.15/0.38 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p116) :args (@t122 @t106 (@list @t110 @t123))) % 0.15/0.38 (step @p126 :rule cnf_or_pos :args (@t125)) % 0.15/0.38 (step @p127 :rule reordering :premises (@p126) :args ((or @t109 @t124 (not @t125)))) % 0.15/0.38 (step @p128 false :rule chain_m_resolution :premises (@p127 @p125 @p104 @p92) :args (false (@list false false false) (@list @t122 @t125 @t108))) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------