%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET753+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET753+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:10:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.empty_set $$unsorted) % 0.38/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.61 (define @t6 () (@list @t2)) % 0.38/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.61 (define @t9 () (= @t8 @t7)) % 0.38/0.61 (define @t10 () (@list @t4 @t1)) % 0.38/0.61 (define @t11 () (forall @t10 @t9)) % 0.38/0.61 (define @t12 () (tptp.subset @t2 @t4)) % 0.38/0.61 (define @t13 () (@list @t2 @t4)) % 0.38/0.61 (define @t14 () (@list @t2 @t4 @t1)) % 0.38/0.61 (define @t15 () (@var "E" $$unsorted)) % 0.38/0.61 (define @t16 () (= @t2 @t4)) % 0.38/0.61 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t18 () (tptp.member @t2 @t17)) % 0.38/0.61 (define @t19 () (tptp.member @t17 @t4)) % 0.38/0.61 (define @t20 () (@list @t17)) % 0.38/0.61 (define @t21 () (@var "Y2" $$unsorted)) % 0.38/0.61 (define @t22 () (@var "Y1" $$unsorted)) % 0.38/0.61 (define @t23 () (= @t22 @t21)) % 0.38/0.61 (define @t24 () (@var "F" $$unsorted)) % 0.38/0.61 (define @t25 () (tptp.apply @t24 @t2 @t22)) % 0.38/0.61 (define @t26 () (tptp.member @t21 @t1)) % 0.38/0.61 (define @t27 () (tptp.member @t22 @t1)) % 0.38/0.61 (define @t28 () (and @t5 @t27 @t26)) % 0.38/0.61 (define @t29 () (@list @t2 @t22 @t21)) % 0.38/0.61 (define @t30 () (tptp.apply @t24 @t2 @t17)) % 0.38/0.61 (define @t31 () (tptp.member @t17 @t1)) % 0.38/0.61 (define @t32 () (exists @t20 (and @t31 @t30))) % 0.38/0.61 (define @t33 () (tptp.maps @t24 @t4 @t1)) % 0.38/0.61 (define @t34 () (@list @t24 @t4 @t1)) % 0.38/0.61 (define @t35 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t36 () (@var "G" $$unsorted)) % 0.38/0.61 (define @t37 () (exists @t20 (and @t31 @t30 (tptp.apply @t36 @t17 @t35)))) % 0.38/0.61 (define @t38 () (@var "H" $$unsorted)) % 0.38/0.61 (define @t39 () (@var "C" $$unsorted)) % 0.38/0.61 (define @t40 () (and @t5 (tptp.member @t35 @t39))) % 0.38/0.61 (define @t41 () (@var "X2" $$unsorted)) % 0.38/0.61 (define @t42 () (@var "X1" $$unsorted)) % 0.38/0.61 (define @t43 () (tptp.member @t41 @t4)) % 0.38/0.61 (define @t44 () (tptp.member @t42 @t4)) % 0.38/0.61 (define @t45 () (tptp.injective @t24 @t4 @t1)) % 0.38/0.61 (define @t46 () (tptp.surjective @t24 @t4 @t1)) % 0.38/0.61 (define @t47 () (tptp.one_to_one @t24 @t4 @t1)) % 0.38/0.61 (define @t48 () (and @t5 @t31)) % 0.38/0.61 (define @t49 () (@list @t24 @t4 @t1 @t2 @t17)) % 0.38/0.61 (define @t50 () (and @t5 @t30)) % 0.38/0.61 (define @t51 () (exists @t6 @t50)) % 0.38/0.61 (define @t52 () (tptp.member @t17 (tptp.image2 @t24 @t4))) % 0.38/0.61 (define @t53 () (= @t52 @t51)) % 0.38/0.61 (define @t54 () (forall (@list @t24 @t4 @t17) @t53)) % 0.38/0.61 (define @t55 () (@var "S" $$unsorted)) % 0.38/0.61 (define @t56 () (tptp.apply @t55 @t22 @t21)) % 0.38/0.61 (define @t57 () (tptp.apply @t24 @t41 @t21)) % 0.38/0.61 (define @t58 () (tptp.apply @t24 @t42 @t22)) % 0.38/0.61 (define @t59 () (@var "R" $$unsorted)) % 0.38/0.61 (define @t60 () (tptp.apply @t59 @t42 @t41)) % 0.38/0.61 (define @t61 () (and @t44 @t27 @t43 @t26 @t60 @t58 @t57)) % 0.38/0.61 (define @t62 () (@list @t42 @t22 @t41 @t21)) % 0.38/0.61 (define @t63 () (@list @t24 @t4 @t59 @t1 @t55)) % 0.38/0.61 (define @t64 () (tptp.subset (tptp.image2 @t24 (tptp.intersection @t2 @t17)) (tptp.intersection (tptp.image2 @t24 @t2) (tptp.image2 @t24 @t17)))) % 0.38/0.61 (define @t65 () (tptp.subset @t17 @t4)) % 0.38/0.61 (define @t66 () (and @t33 @t12 @t65)) % 0.38/0.61 (define @t67 () (forall @t49 (=> @t66 @t64))) % 0.38/0.61 (define @t68 () (not @t67)) % 0.38/0.61 (define @t69 () (not @t65)) % 0.38/0.61 (define @t70 () (not @t12)) % 0.38/0.61 (define @t71 () (not @t33)) % 0.38/0.61 (define @t72 () (or @t71 @t70 @t69 @t64)) % 0.38/0.61 (define @t73 () (forall @t49 @t72)) % 0.38/0.61 (define @t74 () (@quantifiers_skolemize @t73 4)) % 0.38/0.61 (define @t75 () (@quantifiers_skolemize @t73 0)) % 0.38/0.61 (define @t76 () (tptp.image2 @t75 @t74)) % 0.38/0.61 (define @t77 () (@quantifiers_skolemize @t73 3)) % 0.38/0.61 (define @t78 () (tptp.image2 @t75 @t77)) % 0.38/0.61 (define @t79 () (tptp.intersection @t78 @t76)) % 0.38/0.61 (define @t80 () (tptp.intersection @t77 @t74)) % 0.38/0.61 (define @t81 () (tptp.image2 @t75 @t80)) % 0.38/0.61 (define @t82 () (forall @t6 (or (not (tptp.member @t2 @t81)) (tptp.member @t2 @t79)))) % 0.38/0.61 (define @t83 () (@quantifiers_skolemize @t82 0)) % 0.38/0.61 (define @t84 () (or @t71 @t70 @t69)) % 0.38/0.61 (define @t85 () (tptp.subset @t81 @t79)) % 0.38/0.61 (define @t86 () (@quantifiers_skolemize @t73 1)) % 0.38/0.61 (define @t87 () (or (not (tptp.maps @t75 @t86 (@quantifiers_skolemize @t73 2))) (not (tptp.subset @t77 @t86)) (not (tptp.subset @t74 @t86)) @t85)) % 0.38/0.61 (define @t88 () (@list true)) % 0.38/0.61 (define @t89 () (= @t85 @t82)) % 0.38/0.61 (define @t90 () (not @t82)) % 0.38/0.61 (define @t91 () (@list true false)) % 0.38/0.61 (define @t92 () (tptp.member @t83 @t79)) % 0.38/0.61 (define @t93 () (tptp.member @t83 @t81)) % 0.38/0.61 (define @t94 () (not @t93)) % 0.38/0.61 (define @t95 () (or @t94 @t92)) % 0.38/0.61 (define @t96 () (@list @t95)) % 0.38/0.61 (define @t97 () (tptp.member @t83 @t76)) % 0.38/0.61 (define @t98 () (tptp.member @t83 @t78)) % 0.38/0.61 (define @t99 () (and @t98 @t97)) % 0.38/0.61 (define @t100 () (= @t92 @t99)) % 0.38/0.61 (define @t101 () (not @t99)) % 0.38/0.61 (define @t102 () (forall @t6 (not @t50))) % 0.38/0.61 (define @t103 () (not @t102)) % 0.38/0.61 (define @t104 () (not (tptp.apply @t75 @t2 @t83))) % 0.38/0.61 (define @t105 () (forall @t6 (or (not (tptp.member @t2 @t80)) @t104))) % 0.38/0.61 (define @t106 () (@quantifiers_skolemize @t105 0)) % 0.38/0.61 (define @t107 () (not @t105)) % 0.38/0.61 (define @t108 () (= @t93 @t107)) % 0.38/0.61 (define @t109 () (@list false false)) % 0.38/0.61 (define @t110 () (tptp.member @t106 @t80)) % 0.38/0.61 (define @t111 () (tptp.apply @t75 @t106 @t83)) % 0.38/0.61 (define @t112 () (not @t111)) % 0.38/0.61 (define @t113 () (not @t110)) % 0.38/0.61 (define @t114 () (or @t113 @t112)) % 0.38/0.61 (define @t115 () (@list @t114)) % 0.38/0.61 (define @t116 () (tptp.member @t106 @t74)) % 0.38/0.61 (define @t117 () (tptp.member @t106 @t77)) % 0.38/0.61 (define @t118 () (and @t117 @t116)) % 0.38/0.61 (define @t119 () (= @t110 @t118)) % 0.38/0.61 (define @t120 () (not @t118)) % 0.38/0.61 (define @t121 () (@list false)) % 0.38/0.61 (define @t122 () (@list @t118)) % 0.38/0.61 (define @t123 () (not @t116)) % 0.38/0.61 (define @t124 () (or @t123 @t112)) % 0.38/0.61 (define @t125 () (not @t124)) % 0.38/0.61 (define @t126 () (forall @t6 (or (not (tptp.member @t2 @t74)) @t104))) % 0.38/0.61 (define @t127 () (@list @t106)) % 0.38/0.61 (define @t128 () (not @t126)) % 0.38/0.61 (define @t129 () (= @t97 @t128)) % 0.38/0.61 (define @t130 () (not @t129)) % 0.38/0.61 (define @t131 () (not @t117)) % 0.38/0.61 (define @t132 () (or @t131 @t112)) % 0.38/0.61 (define @t133 () (not @t132)) % 0.38/0.61 (define @t134 () (forall @t6 (or (not (tptp.member @t2 @t77)) @t104))) % 0.38/0.61 (define @t135 () (not @t134)) % 0.38/0.61 (define @t136 () (= @t98 @t135)) % 0.38/0.61 (define @t137 () (not @t136)) % 0.38/0.61 (assume @p1 @t11) % 0.38/0.61 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.61 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) @t12))) % 0.38/0.61 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.38/0.61 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.38/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.38/0.61 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.38/0.61 (assume @p8 (forall @t13 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.38/0.61 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.38/0.61 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.38/0.61 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.38/0.61 (assume @p12 (forall @t34 (= @t33 (and (forall @t6 (=> @t5 @t32)) (forall @t29 (=> @t28 (=> (and @t25 (tptp.apply @t24 @t2 @t21)) @t23))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (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)))) % 0.38/0.61 (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)))))) % 0.38/0.61 (assume @p16 (forall (@list @t24 @t4) (= (tptp.identity @t24 @t4) (forall @t6 (=> @t5 (tptp.apply @t24 @t2 @t2)))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (assume @p18 (forall @t34 (= @t46 (forall @t20 (=> @t31 (exists (@list @t15) (and (tptp.member @t15 @t4) (tptp.apply @t24 @t15 @t17)))))))) % 0.38/0.61 (assume @p19 (forall @t34 (= @t47 (and @t45 @t46)))) % 0.38/0.61 (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))))))) % 0.38/0.61 (assume @p21 (forall @t49 (=> @t48 (= @t30 (tptp.apply (tptp.inverse_function @t24 @t4 @t1) @t17 @t2))))) % 0.38/0.61 (assume @p22 @t54) % 0.38/0.61 (assume @p23 (forall (@list @t24 @t4 @t1 @t17) (= (tptp.member @t17 (tptp.image3 @t24 @t4 @t1)) (and @t31 @t51)))) % 0.38/0.61 (assume @p24 (forall (@list @t24 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t24 @t1)) @t32))) % 0.38/0.61 (assume @p25 (forall (@list @t24 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t24 @t1 @t4)) (and @t5 @t32)))) % 0.38/0.61 (assume @p26 (forall @t63 (= (tptp.increasing @t24 @t4 @t59 @t1 @t55) (forall @t62 (=> @t61 @t56))))) % 0.38/0.61 (assume @p27 (forall @t63 (= (tptp.decreasing @t24 @t4 @t59 @t1 @t55) (forall @t62 (=> @t61 (tptp.apply @t55 @t21 @t22)))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (assume @p29 @t68) % 0.38/0.61 (assume @p30 true) % 0.38/0.61 (step @p31 :rule instantiate :premises (@p4) :args ((@list @t83 @t78 @t76))) % 0.38/0.61 (step @p32 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.61 (step @p33 :rule cong :premises (@p32) :args (@t7)) % 0.38/0.61 (step @p34 :rule refl :args (@t8)) % 0.38/0.61 (step @p35 :rule cong :premises (@p34 @p33) :args (@t9)) % 0.38/0.61 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 0.38/0.61 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.38/0.61 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t81 @t79))) % 0.38/0.61 (step @p39 :rule aci_norm :args ((= (or @t84 @t64) @t72))) % 0.38/0.61 (step @p40 :rule refl :args (@t64)) % 0.38/0.61 (step @p41 :rule aci_norm :args ((= (or @t71 (or @t70 @t69)) @t84))) % 0.38/0.61 (step @p42 :rule bool-and-de-morgan :args (@t12 @t65 true)) % 0.38/0.61 (step @p43 :rule refl :args (@t71)) % 0.38/0.61 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t71 (not (and @t12 @t65))))) % 0.38/0.61 (step @p45 :rule bool-and-de-morgan :args (@t33 @t12 (and @t65))) % 0.38/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.61 (step @p47 :rule trans :premises (@p46 @p41)) % 0.38/0.61 (step @p48 :rule nary_cong :premises (@p47 @p40) :args ((or (not @t66) @t64))) % 0.38/0.61 (step @p49 :rule trans :premises (@p48 @p39)) % 0.38/0.61 (step @p50 :rule bool-impl-elim :args (@t66 @t64)) % 0.38/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.61 (step @p52 :rule cong :premises (@p51) :args (@t67)) % 0.38/0.61 (step @p53 :rule cong :premises (@p52) :args (@t68)) % 0.38/0.61 (step @p54 :rule eq_resolve :premises (@p29 @p53)) % 0.38/0.61 (step @p55 :rule skolemize :premises (@p54)) % 0.38/0.61 (step @p56 :rule cnf_or_neg :args (@t87 3)) % 0.38/0.61 (step @p57 :rule chain_m_resolution :premises (@p56 @p55) :args ((not @t85) @t88 (@list @t87))) % 0.38/0.61 (step @p58 :rule cnf_equiv_pos2 :args (@t89)) % 0.38/0.61 (step @p59 :rule reordering :premises (@p58) :args ((or @t85 @t90 (not @t89)))) % 0.38/0.61 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p38) :args (@t90 @t91 (@list @t85 @t89))) % 0.38/0.61 (step @p61 :rule skolemize :premises (@p60)) % 0.38/0.61 (step @p62 :rule cnf_or_neg :args (@t95 1)) % 0.38/0.61 (step @p63 :rule chain_m_resolution :premises (@p62 @p61) :args ((not @t92) @t88 @t96)) % 0.38/0.61 (step @p64 :rule cnf_equiv_pos2 :args (@t100)) % 0.38/0.61 (step @p65 :rule reordering :premises (@p64) :args ((or @t92 @t101 (not @t100)))) % 0.38/0.61 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p31) :args (@t101 @t91 (@list @t92 @t100))) % 0.38/0.61 (step @p67 :rule bool-and-de-morgan :args (@t5 @t30 true)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67) :args (@t102)) % 0.38/0.61 (step @p69 :rule cong :premises (@p68) :args (@t103)) % 0.38/0.61 (step @p70 :rule exists-elim :args ((= @t51 @t103))) % 0.38/0.61 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.61 (step @p72 :rule refl :args (@t52)) % 0.38/0.61 (step @p73 :rule cong :premises (@p72 @p71) :args (@t53)) % 0.38/0.61 (step @p74 :rule cong :premises (@p73) :args (@t54)) % 0.38/0.61 (step @p75 :rule eq_resolve :premises (@p22 @p74)) % 0.38/0.61 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t75 @t74 @t83))) % 0.38/0.61 (step @p77 :rule instantiate :premises (@p4) :args ((@list @t106 @t77 @t74))) % 0.38/0.61 (step @p78 :rule instantiate :premises (@p75) :args ((@list @t75 @t80 @t83))) % 0.38/0.61 (step @p79 :rule bool-double-not-elim :args (@t93)) % 0.38/0.61 (step @p80 :rule refl :args (@t95)) % 0.38/0.61 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t95 (not @t94)))) % 0.38/0.61 (step @p82 :rule cnf_or_neg :args (@t95 0)) % 0.38/0.61 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.38/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t93 @t95))) % 0.38/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p61) :args (@t93 @t88 @t96)) % 0.38/0.61 (step @p86 :rule cnf_equiv_pos1 :args (@t108)) % 0.38/0.61 (step @p87 :rule reordering :premises (@p86) :args ((or @t94 @t107 (not @t108)))) % 0.38/0.61 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p78) :args (@t107 @t109 (@list @t93 @t108))) % 0.38/0.61 (step @p89 :rule skolemize :premises (@p88)) % 0.38/0.61 (step @p90 :rule bool-double-not-elim :args (@t110)) % 0.38/0.61 (step @p91 :rule refl :args (@t114)) % 0.38/0.61 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t114 (not @t113)))) % 0.38/0.61 (step @p93 :rule cnf_or_neg :args (@t114 0)) % 0.38/0.61 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.38/0.61 (step @p95 :rule reordering :premises (@p94) :args ((or @t110 @t114))) % 0.38/0.61 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t110 @t88 @t115)) % 0.38/0.61 (step @p97 :rule cnf_equiv_pos1 :args (@t119)) % 0.38/0.61 (step @p98 :rule reordering :premises (@p97) :args ((or @t113 @t118 (not @t119)))) % 0.38/0.61 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p77) :args (@t118 @t109 (@list @t110 @t119))) % 0.38/0.61 (step @p100 :rule cnf_and_pos :args (@t118 1)) % 0.38/0.61 (step @p101 :rule reordering :premises (@p100) :args ((or @t116 @t120))) % 0.38/0.61 (step @p102 :rule chain_m_resolution :premises (@p101 @p99) :args (@t116 @t121 @t122)) % 0.38/0.61 (step @p103 :rule bool-double-not-elim :args (@t111)) % 0.38/0.61 (step @p104 :rule nary_cong :premises (@p91 @p103) :args ((or @t114 (not @t112)))) % 0.38/0.61 (step @p105 :rule cnf_or_neg :args (@t114 1)) % 0.38/0.61 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.38/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t111 @t114))) % 0.38/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p89) :args (@t111 @t88 @t115)) % 0.38/0.61 (step @p109 :rule cnf_or_pos :args (@t124)) % 0.38/0.61 (step @p110 :rule reordering :premises (@p109) :args ((or @t112 @t123 @t125))) % 0.38/0.61 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p102) :args (@t125 @t109 (@list @t111 @t116))) % 0.38/0.61 (assume-push @p149 @t126) % 0.38/0.61 (step @p113 :rule instantiate :premises (@p149) :args (@t127)) % 0.38/0.61 (step-pop @p150 :rule scope :premises (@p113)) % 0.38/0.61 (step @p114 :rule process_scope :premises (@p150) :args (@t124)) % 0.38/0.61 (step @p116 :rule implies_elim :premises (@p114)) % 0.38/0.61 (step @p117 :rule chain_m_resolution :premises (@p116 @p111) :args (@t128 @t88 (@list @t124))) % 0.38/0.61 (step @p118 :rule bool-double-not-elim :args (@t126)) % 0.38/0.61 (step @p119 :rule refl :args (@t97)) % 0.38/0.61 (step @p120 :rule refl :args (@t130)) % 0.38/0.61 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args ((or @t130 @t97 (not @t128)))) % 0.38/0.61 (step @p122 :rule cnf_equiv_pos2 :args (@t129)) % 0.38/0.61 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.38/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t97 @t126 @t130))) % 0.38/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p117 @p76) :args (@t97 @t91 (@list @t126 @t129))) % 0.38/0.61 (step @p126 :rule instantiate :premises (@p75) :args ((@list @t75 @t77 @t83))) % 0.38/0.61 (step @p127 :rule cnf_and_pos :args (@t118 0)) % 0.38/0.61 (step @p128 :rule reordering :premises (@p127) :args ((or @t117 @t120))) % 0.38/0.61 (step @p129 :rule chain_m_resolution :premises (@p128 @p99) :args (@t117 @t121 @t122)) % 0.38/0.61 (step @p130 :rule cnf_or_pos :args (@t132)) % 0.38/0.61 (step @p131 :rule reordering :premises (@p130) :args ((or @t112 @t131 @t133))) % 0.38/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p108 @p129) :args (@t133 @t109 (@list @t111 @t117))) % 0.38/0.61 (assume-push @p151 @t134) % 0.38/0.61 (step @p134 :rule instantiate :premises (@p151) :args (@t127)) % 0.38/0.61 (step-pop @p152 :rule scope :premises (@p134)) % 0.38/0.61 (step @p135 :rule process_scope :premises (@p152) :args (@t132)) % 0.38/0.61 (step @p137 :rule implies_elim :premises (@p135)) % 0.38/0.61 (step @p138 :rule chain_m_resolution :premises (@p137 @p132) :args (@t135 @t88 (@list @t132))) % 0.38/0.61 (step @p139 :rule bool-double-not-elim :args (@t134)) % 0.38/0.61 (step @p140 :rule refl :args (@t98)) % 0.38/0.61 (step @p141 :rule refl :args (@t137)) % 0.38/0.61 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args ((or @t137 @t98 (not @t135)))) % 0.38/0.61 (step @p143 :rule cnf_equiv_pos2 :args (@t136)) % 0.38/0.61 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.38/0.61 (step @p145 :rule reordering :premises (@p144) :args ((or @t98 @t134 @t137))) % 0.38/0.61 (step @p146 :rule chain_m_resolution :premises (@p145 @p138 @p126) :args (@t98 @t91 (@list @t134 @t136))) % 0.38/0.61 (step @p147 :rule cnf_and_neg :args (@t99)) % 0.38/0.61 (step @p148 false :rule chain_m_resolution :premises (@p147 @p146 @p125 @p66) :args (false (@list false false true) (@list @t98 @t97 @t99))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------