%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET372+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:47:51 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET372+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 15:33:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.empty_set $$unsorted) % 0.37/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.61 (define @t6 () (@list @t2)) % 0.37/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.61 (define @t9 () (= @t8 @t7)) % 0.37/0.61 (define @t10 () (@list @t4 @t1)) % 0.37/0.61 (define @t11 () (forall @t10 @t9)) % 0.37/0.61 (define @t12 () (tptp.power_set @t4)) % 0.37/0.61 (define @t13 () (@list @t2 @t4)) % 0.37/0.61 (define @t14 () (tptp.intersection @t4 @t1)) % 0.37/0.61 (define @t15 () (@list @t2 @t4 @t1)) % 0.37/0.61 (define @t16 () (@var "E" $$unsorted)) % 0.37/0.61 (define @t17 () (= @t2 @t4)) % 0.37/0.61 (define @t18 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t19 () (tptp.member @t2 @t18)) % 0.37/0.61 (define @t20 () (tptp.member @t18 @t4)) % 0.37/0.61 (define @t21 () (@list @t18)) % 0.37/0.61 (define @t22 () (forall @t10 (tptp.equal_set (tptp.power_set @t14) (tptp.intersection @t12 (tptp.power_set @t1))))) % 0.37/0.61 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.37/0.61 (define @t24 () (@quantifiers_skolemize @t22 0)) % 0.37/0.61 (define @t25 () (tptp.intersection @t24 @t23)) % 0.37/0.61 (define @t26 () (tptp.power_set @t23)) % 0.37/0.61 (define @t27 () (tptp.power_set @t24)) % 0.37/0.61 (define @t28 () (tptp.intersection @t27 @t26)) % 0.37/0.61 (define @t29 () (tptp.member @t2 @t28)) % 0.37/0.61 (define @t30 () (tptp.power_set @t25)) % 0.37/0.61 (define @t31 () (tptp.member @t2 @t30)) % 0.37/0.61 (define @t32 () (forall @t6 (or (not @t31) @t29))) % 0.37/0.61 (define @t33 () (@quantifiers_skolemize @t32 0)) % 0.37/0.61 (define @t34 () (@list @t33 @t25)) % 0.37/0.61 (define @t35 () (@list @t30 @t28)) % 0.37/0.61 (define @t36 () (forall @t6 (or (not @t29) @t31))) % 0.37/0.61 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.37/0.61 (define @t38 () (tptp.member @t37 @t28)) % 0.37/0.61 (define @t39 () (tptp.member @t37 @t30)) % 0.37/0.61 (define @t40 () (not @t38)) % 0.37/0.61 (define @t41 () (or @t40 @t39)) % 0.37/0.61 (define @t42 () (tptp.member @t37 @t26)) % 0.37/0.61 (define @t43 () (tptp.member @t37 @t27)) % 0.37/0.61 (define @t44 () (and @t43 @t42)) % 0.37/0.61 (define @t45 () (= @t38 @t44)) % 0.37/0.61 (define @t46 () (@list @t37 @t25)) % 0.37/0.61 (define @t47 () (tptp.subset @t37 @t25)) % 0.37/0.61 (define @t48 () (= @t39 @t47)) % 0.37/0.61 (define @t49 () (not @t44)) % 0.37/0.61 (define @t50 () (tptp.member @t2 @t25)) % 0.37/0.61 (define @t51 () (not (tptp.member @t2 @t37))) % 0.37/0.61 (define @t52 () (forall @t6 (or @t51 @t50))) % 0.37/0.61 (define @t53 () (= @t47 @t52)) % 0.37/0.61 (define @t54 () (not @t52)) % 0.37/0.61 (define @t55 () (@list @t37 @t24)) % 0.37/0.61 (define @t56 () (tptp.subset @t37 @t24)) % 0.37/0.61 (define @t57 () (= @t43 @t56)) % 0.37/0.61 (define @t58 () (@list @t37 @t23)) % 0.37/0.61 (define @t59 () (tptp.subset @t37 @t23)) % 0.37/0.61 (define @t60 () (= @t42 @t59)) % 0.37/0.61 (define @t61 () (@quantifiers_skolemize @t52 0)) % 0.37/0.61 (define @t62 () (tptp.member @t61 @t25)) % 0.37/0.61 (define @t63 () (tptp.member @t61 @t37)) % 0.37/0.61 (define @t64 () (not @t63)) % 0.37/0.61 (define @t65 () (or @t64 @t62)) % 0.37/0.61 (define @t66 () (not @t65)) % 0.37/0.61 (define @t67 () (tptp.member @t2 @t24)) % 0.37/0.61 (define @t68 () (forall @t6 (or @t51 @t67))) % 0.37/0.61 (define @t69 () (= @t56 @t68)) % 0.37/0.61 (define @t70 () (tptp.member @t2 @t23)) % 0.37/0.61 (define @t71 () (forall @t6 (or @t51 @t70))) % 0.37/0.61 (define @t72 () (= @t59 @t71)) % 0.37/0.61 (define @t73 () (@list @t61)) % 0.37/0.61 (define @t74 () (tptp.member @t61 @t24)) % 0.37/0.61 (define @t75 () (or @t64 @t74)) % 0.37/0.61 (define @t76 () (tptp.member @t61 @t23)) % 0.37/0.61 (define @t77 () (or @t64 @t76)) % 0.37/0.61 (define @t78 () (and @t74 @t76)) % 0.37/0.61 (define @t79 () (= @t62 @t78)) % 0.37/0.61 (define @t80 () (not @t41)) % 0.37/0.61 (define @t81 () (not @t36)) % 0.37/0.61 (define @t82 () (@list false)) % 0.37/0.61 (define @t83 () (tptp.subset @t28 @t30)) % 0.37/0.61 (define @t84 () (= @t83 @t36)) % 0.37/0.61 (define @t85 () (@list false false)) % 0.37/0.61 (define @t86 () (tptp.subset @t30 @t28)) % 0.37/0.61 (define @t87 () (and @t86 @t83)) % 0.37/0.61 (define @t88 () (tptp.equal_set @t30 @t28)) % 0.37/0.61 (define @t89 () (= @t88 @t87)) % 0.37/0.61 (define @t90 () (not @t87)) % 0.37/0.61 (define @t91 () (@list true false)) % 0.37/0.61 (define @t92 () (= @t86 @t32)) % 0.37/0.61 (define @t93 () (not @t32)) % 0.37/0.61 (define @t94 () (tptp.member @t33 @t28)) % 0.37/0.61 (define @t95 () (tptp.member @t33 @t30)) % 0.37/0.61 (define @t96 () (not @t95)) % 0.37/0.61 (define @t97 () (or @t96 @t94)) % 0.37/0.61 (define @t98 () (not @t97)) % 0.37/0.61 (define @t99 () (@list true)) % 0.37/0.61 (define @t100 () (@list @t97)) % 0.37/0.61 (define @t101 () (tptp.subset @t33 @t25)) % 0.37/0.61 (define @t102 () (= @t95 @t101)) % 0.37/0.61 (define @t103 () (not (tptp.member @t2 @t33))) % 0.37/0.61 (define @t104 () (forall @t6 (or @t103 @t50))) % 0.37/0.61 (define @t105 () (= @t101 @t104)) % 0.37/0.61 (define @t106 () (forall @t6 (or @t103 @t67))) % 0.37/0.61 (define @t107 () (@quantifiers_skolemize @t106 0)) % 0.37/0.61 (define @t108 () (tptp.member @t107 @t25)) % 0.37/0.61 (define @t109 () (tptp.member @t107 @t33)) % 0.37/0.61 (define @t110 () (not @t109)) % 0.37/0.61 (define @t111 () (or @t110 @t108)) % 0.37/0.61 (define @t112 () (@list @t104)) % 0.37/0.61 (define @t113 () (@list @t33 @t24)) % 0.37/0.61 (define @t114 () (@list @t33 @t23)) % 0.37/0.61 (define @t115 () (forall @t6 (or @t103 @t70))) % 0.37/0.61 (define @t116 () (@quantifiers_skolemize @t115 0)) % 0.37/0.61 (define @t117 () (tptp.member @t116 @t33)) % 0.37/0.61 (define @t118 () (tptp.member @t116 @t23)) % 0.37/0.61 (define @t119 () (not @t117)) % 0.37/0.61 (define @t120 () (or @t119 @t118)) % 0.37/0.61 (define @t121 () (tptp.member @t116 @t25)) % 0.37/0.61 (define @t122 () (or @t119 @t121)) % 0.37/0.61 (define @t123 () (and (tptp.member @t116 @t24) @t118)) % 0.37/0.61 (define @t124 () (= @t121 @t123)) % 0.37/0.61 (define @t125 () (not @t120)) % 0.37/0.61 (define @t126 () (not @t115)) % 0.37/0.61 (define @t127 () (tptp.subset @t33 @t23)) % 0.37/0.61 (define @t128 () (= @t127 @t115)) % 0.37/0.61 (define @t129 () (tptp.member @t33 @t26)) % 0.37/0.61 (define @t130 () (= @t129 @t127)) % 0.37/0.61 (define @t131 () (tptp.member @t33 @t27)) % 0.37/0.61 (define @t132 () (and @t131 @t129)) % 0.37/0.61 (define @t133 () (= @t94 @t132)) % 0.37/0.61 (define @t134 () (not @t132)) % 0.37/0.61 (define @t135 () (tptp.subset @t33 @t24)) % 0.37/0.61 (define @t136 () (= @t131 @t135)) % 0.37/0.61 (define @t137 () (not @t135)) % 0.37/0.61 (define @t138 () (= @t135 @t106)) % 0.37/0.61 (define @t139 () (not @t106)) % 0.37/0.61 (define @t140 () (tptp.member @t107 @t24)) % 0.37/0.61 (define @t141 () (or @t110 @t140)) % 0.37/0.61 (define @t142 () (not @t141)) % 0.37/0.61 (define @t143 () (@list @t141)) % 0.37/0.61 (define @t144 () (and @t140 (tptp.member @t107 @t23))) % 0.37/0.61 (define @t145 () (not @t144)) % 0.37/0.61 (define @t146 () (= @t108 @t144)) % 0.37/0.61 (assume @p1 @t11) % 0.37/0.61 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.37/0.61 (assume @p3 (forall @t13 (= (tptp.member @t2 @t12) (tptp.subset @t2 @t4)))) % 0.37/0.61 (assume @p4 (forall @t15 (= (tptp.member @t2 @t14) (and @t5 @t3)))) % 0.37/0.61 (assume @p5 (forall @t15 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.61 (assume @p7 (forall (@list @t1 @t4 @t16) (= (tptp.member @t1 (tptp.difference @t16 @t4)) (and (tptp.member @t1 @t16) (not (tptp.member @t1 @t4)))))) % 0.37/0.61 (assume @p8 (forall @t13 (= (tptp.member @t2 (tptp.singleton @t4)) @t17))) % 0.37/0.61 (assume @p9 (forall @t15 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t17 (= @t2 @t1))))) % 0.37/0.61 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t21 (and @t20 @t19))))) % 0.37/0.61 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t20 @t19))))) % 0.37/0.61 (assume @p12 (not @t22)) % 0.37/0.61 (assume @p13 true) % 0.37/0.61 (step @p14 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.61 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.37/0.61 (step @p16 :rule refl :args (@t8)) % 0.37/0.61 (step @p17 :rule cong :premises (@p16 @p15) :args (@t9)) % 0.37/0.61 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.37/0.61 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.37/0.61 (step @p20 :rule instantiate :premises (@p19) :args (@t34)) % 0.37/0.61 (step @p21 :rule instantiate :premises (@p3) :args (@t34)) % 0.37/0.61 (step @p22 :rule instantiate :premises (@p19) :args (@t35)) % 0.37/0.61 (step @p23 :rule instantiate :premises (@p19) :args ((@list @t28 @t30))) % 0.37/0.61 (step @p24 :rule bool-double-not-elim :args (@t38)) % 0.37/0.61 (step @p25 :rule refl :args (@t41)) % 0.37/0.61 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t41 (not @t40)))) % 0.37/0.61 (step @p27 :rule cnf_or_neg :args (@t41 0)) % 0.37/0.61 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.37/0.61 (step @p29 :rule reordering :premises (@p28) :args ((or @t38 @t41))) % 0.37/0.61 (step @p30 :rule cnf_or_neg :args (@t41 1)) % 0.37/0.61 (step @p31 :rule instantiate :premises (@p4) :args ((@list @t37 @t27 @t26))) % 0.37/0.61 (step @p32 :rule cnf_equiv_pos1 :args (@t45)) % 0.37/0.61 (step @p33 :rule reordering :premises (@p32) :args ((or @t40 @t44 (not @t45)))) % 0.37/0.61 (step @p34 :rule instantiate :premises (@p3) :args (@t46)) % 0.37/0.61 (step @p35 :rule cnf_equiv_pos2 :args (@t48)) % 0.37/0.61 (step @p36 :rule reordering :premises (@p35) :args ((or @t39 (not @t47) (not @t48)))) % 0.37/0.61 (step @p37 :rule cnf_and_pos :args (@t44 0)) % 0.37/0.61 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t49))) % 0.37/0.61 (step @p39 :rule cnf_and_pos :args (@t44 1)) % 0.37/0.61 (step @p40 :rule reordering :premises (@p39) :args ((or @t42 @t49))) % 0.37/0.61 (step @p41 :rule instantiate :premises (@p19) :args (@t46)) % 0.37/0.61 (step @p42 :rule cnf_equiv_pos2 :args (@t53)) % 0.37/0.61 (step @p43 :rule reordering :premises (@p42) :args ((or @t47 @t54 (not @t53)))) % 0.37/0.61 (step @p44 :rule instantiate :premises (@p3) :args (@t55)) % 0.37/0.61 (step @p45 :rule cnf_equiv_pos1 :args (@t57)) % 0.37/0.61 (step @p46 :rule reordering :premises (@p45) :args ((or (not @t43) @t56 (not @t57)))) % 0.37/0.61 (step @p47 :rule instantiate :premises (@p3) :args (@t58)) % 0.37/0.61 (step @p48 :rule cnf_equiv_pos1 :args (@t60)) % 0.37/0.61 (step @p49 :rule reordering :premises (@p48) :args ((or (not @t42) @t59 (not @t60)))) % 0.37/0.61 (step @p50 :rule refl :args (@t66)) % 0.37/0.61 (step @p51 :rule bool-double-not-elim :args (@t52)) % 0.37/0.61 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t54) @t66))) % 0.37/0.61 (assume-push @p227 @t54) % 0.37/0.61 (step @p54 :rule skolemize :premises (@p227)) % 0.37/0.61 (step-pop @p228 :rule scope :premises (@p54)) % 0.37/0.61 (step @p55 :rule process_scope :premises (@p228) :args (@t66)) % 0.37/0.61 (step @p57 :rule implies_elim :premises (@p55)) % 0.37/0.61 (step @p58 :rule eq_resolve :premises (@p57 @p52)) % 0.37/0.61 (step @p59 :rule instantiate :premises (@p19) :args (@t55)) % 0.37/0.61 (step @p60 :rule cnf_equiv_pos1 :args (@t69)) % 0.37/0.61 (step @p61 :rule reordering :premises (@p60) :args ((or (not @t56) @t68 (not @t69)))) % 0.37/0.61 (step @p62 :rule instantiate :premises (@p19) :args (@t58)) % 0.37/0.61 (step @p63 :rule cnf_equiv_pos1 :args (@t72)) % 0.37/0.61 (step @p64 :rule reordering :premises (@p63) :args ((or (not @t59) @t71 (not @t72)))) % 0.37/0.61 (step @p65 :rule bool-double-not-elim :args (@t63)) % 0.37/0.61 (step @p66 :rule refl :args (@t65)) % 0.37/0.61 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t65 (not @t64)))) % 0.37/0.61 (step @p68 :rule cnf_or_neg :args (@t65 0)) % 0.37/0.61 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.37/0.61 (step @p70 :rule reordering :premises (@p69) :args ((or @t63 @t65))) % 0.37/0.61 (step @p71 :rule cnf_or_neg :args (@t65 1)) % 0.37/0.61 (assume-push @p229 @t68) % 0.37/0.61 (step @p73 :rule instantiate :premises (@p229) :args (@t73)) % 0.37/0.61 (step-pop @p230 :rule scope :premises (@p73)) % 0.37/0.61 (step @p74 :rule process_scope :premises (@p230) :args (@t75)) % 0.37/0.61 (step @p76 :rule implies_elim :premises (@p74)) % 0.37/0.61 (assume-push @p231 @t71) % 0.37/0.61 (step @p78 :rule instantiate :premises (@p231) :args (@t73)) % 0.37/0.61 (step-pop @p232 :rule scope :premises (@p78)) % 0.37/0.61 (step @p79 :rule process_scope :premises (@p232) :args (@t77)) % 0.37/0.61 (step @p81 :rule implies_elim :premises (@p79)) % 0.37/0.61 (step @p82 :rule instantiate :premises (@p4) :args ((@list @t61 @t24 @t23))) % 0.37/0.61 (step @p83 :rule cnf_equiv_pos2 :args (@t79)) % 0.37/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t62 (not @t78) (not @t79)))) % 0.37/0.61 (step @p85 :rule cnf_or_pos :args (@t75)) % 0.37/0.61 (step @p86 :rule reordering :premises (@p85) :args ((or @t64 @t74 (not @t75)))) % 0.37/0.61 (step @p87 :rule cnf_or_pos :args (@t77)) % 0.37/0.61 (step @p88 :rule reordering :premises (@p87) :args ((or @t64 @t76 (not @t77)))) % 0.37/0.61 (step @p89 :rule cnf_and_neg :args (@t78)) % 0.37/0.61 (step @p90 :rule chain_m_resolution :premises (@p89 @p88 @p86 @p84 @p82 @p81 @p76 @p71 @p70 @p64 @p62 @p61 @p59 @p58 @p49 @p47 @p46 @p44 @p43 @p41 @p40 @p38 @p36 @p34 @p33 @p31 @p30 @p29) :args (@t41 (@list false false true false false false true false false false false false true false false false false true false false false true false false false true false) (@list @t76 @t74 @t78 @t79 @t77 @t75 @t62 @t63 @t71 @t72 @t68 @t69 @t65 @t59 @t60 @t56 @t57 @t52 @t53 @t42 @t43 @t47 @t48 @t44 @t45 @t39 @t38))) % 0.37/0.61 (step @p91 :rule refl :args (@t80)) % 0.37/0.61 (step @p92 :rule bool-double-not-elim :args (@t36)) % 0.37/0.61 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t81) @t80))) % 0.37/0.61 (assume-push @p233 @t81) % 0.37/0.61 (step @p95 :rule skolemize :premises (@p233)) % 0.37/0.61 (step-pop @p234 :rule scope :premises (@p95)) % 0.37/0.61 (step @p96 :rule process_scope :premises (@p234) :args (@t80)) % 0.37/0.61 (step @p98 :rule implies_elim :premises (@p96)) % 0.37/0.61 (step @p99 :rule eq_resolve :premises (@p98 @p93)) % 0.37/0.61 (step @p100 :rule chain_m_resolution :premises (@p99 @p90) :args (@t36 @t82 (@list @t41))) % 0.37/0.61 (step @p101 :rule cnf_equiv_pos2 :args (@t84)) % 0.37/0.61 (step @p102 :rule reordering :premises (@p101) :args ((or @t83 @t81 (not @t84)))) % 0.37/0.61 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p23) :args (@t83 @t85 (@list @t36 @t84))) % 0.37/0.61 (step @p104 :rule instantiate :premises (@p2) :args (@t35)) % 0.37/0.61 (step @p105 :rule skolemize :premises (@p12)) % 0.37/0.61 (step @p106 :rule cnf_equiv_pos2 :args (@t89)) % 0.37/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t88 @t90 (not @t89)))) % 0.37/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p104) :args (@t90 @t91 (@list @t88 @t89))) % 0.37/0.61 (step @p109 :rule cnf_and_neg :args (@t87)) % 0.37/0.61 (step @p110 :rule chain_m_resolution :premises (@p109 @p108 @p103) :args ((not @t86) @t91 (@list @t87 @t83))) % 0.37/0.61 (step @p111 :rule cnf_equiv_pos2 :args (@t92)) % 0.37/0.61 (step @p112 :rule reordering :premises (@p111) :args ((or @t86 @t93 (not @t92)))) % 0.37/0.61 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p22) :args (@t93 @t91 (@list @t86 @t92))) % 0.37/0.61 (step @p114 :rule refl :args (@t98)) % 0.37/0.61 (step @p115 :rule bool-double-not-elim :args (@t32)) % 0.37/0.61 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t93) @t98))) % 0.37/0.61 (assume-push @p235 @t93) % 0.37/0.61 (step @p118 :rule skolemize :premises (@p235)) % 0.37/0.61 (step-pop @p236 :rule scope :premises (@p118)) % 0.37/0.61 (step @p119 :rule process_scope :premises (@p236) :args (@t98)) % 0.37/0.61 (step @p121 :rule implies_elim :premises (@p119)) % 0.37/0.61 (step @p122 :rule eq_resolve :premises (@p121 @p116)) % 0.37/0.61 (step @p123 :rule chain_m_resolution :premises (@p122 @p113) :args (@t98 @t99 (@list @t32))) % 0.37/0.61 (step @p124 :rule bool-double-not-elim :args (@t95)) % 0.37/0.61 (step @p125 :rule refl :args (@t97)) % 0.37/0.61 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t97 (not @t96)))) % 0.37/0.61 (step @p127 :rule cnf_or_neg :args (@t97 0)) % 0.37/0.61 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.37/0.61 (step @p129 :rule reordering :premises (@p128) :args ((or @t95 @t97))) % 0.37/0.61 (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t95 @t99 @t100)) % 0.37/0.61 (step @p131 :rule cnf_equiv_pos1 :args (@t102)) % 0.37/0.61 (step @p132 :rule reordering :premises (@p131) :args ((or @t96 @t101 (not @t102)))) % 0.37/0.61 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p21) :args (@t101 @t85 (@list @t95 @t102))) % 0.37/0.61 (step @p134 :rule cnf_equiv_pos1 :args (@t105)) % 0.37/0.61 (step @p135 :rule reordering :premises (@p134) :args ((or (not @t101) @t104 (not @t105)))) % 0.37/0.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p20) :args (@t104 @t85 (@list @t101 @t105))) % 0.37/0.61 (assume-push @p237 @t104) % 0.37/0.61 (step @p138 :rule instantiate :premises (@p237) :args ((@list @t107))) % 0.37/0.61 (step-pop @p238 :rule scope :premises (@p138)) % 0.37/0.61 (step @p139 :rule process_scope :premises (@p238) :args (@t111)) % 0.37/0.61 (step @p141 :rule implies_elim :premises (@p139)) % 0.37/0.61 (step @p142 :rule chain_m_resolution :premises (@p141 @p136) :args (@t111 @t82 @t112)) % 0.37/0.61 (step @p143 :rule instantiate :premises (@p19) :args (@t113)) % 0.37/0.61 (step @p144 :rule instantiate :premises (@p3) :args (@t113)) % 0.37/0.61 (step @p145 :rule instantiate :premises (@p3) :args (@t114)) % 0.37/0.61 (step @p146 :rule instantiate :premises (@p19) :args (@t114)) % 0.37/0.61 (step @p147 :rule bool-double-not-elim :args (@t117)) % 0.37/0.61 (step @p148 :rule refl :args (@t120)) % 0.37/0.61 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t120 (not @t119)))) % 0.37/0.61 (step @p150 :rule cnf_or_neg :args (@t120 0)) % 0.37/0.61 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.37/0.61 (step @p152 :rule reordering :premises (@p151) :args ((or @t117 @t120))) % 0.37/0.61 (step @p153 :rule cnf_or_neg :args (@t120 1)) % 0.37/0.61 (assume-push @p239 @t104) % 0.37/0.61 (step @p155 :rule instantiate :premises (@p239) :args ((@list @t116))) % 0.37/0.61 (step-pop @p240 :rule scope :premises (@p155)) % 0.37/0.61 (step @p156 :rule process_scope :premises (@p240) :args (@t122)) % 0.37/0.61 (step @p158 :rule implies_elim :premises (@p156)) % 0.37/0.61 (step @p159 :rule chain_m_resolution :premises (@p158 @p136) :args (@t122 @t82 @t112)) % 0.37/0.61 (step @p160 :rule cnf_or_pos :args (@t122)) % 0.37/0.61 (step @p161 :rule reordering :premises (@p160) :args ((or @t119 @t121 (not @t122)))) % 0.37/0.61 (step @p162 :rule cnf_and_pos :args (@t123 1)) % 0.37/0.61 (step @p163 :rule reordering :premises (@p162) :args ((or @t118 (not @t123)))) % 0.37/0.61 (step @p164 :rule instantiate :premises (@p4) :args ((@list @t116 @t24 @t23))) % 0.37/0.61 (step @p165 :rule cnf_equiv_pos1 :args (@t124)) % 0.37/0.61 (step @p166 :rule reordering :premises (@p165) :args ((or (not @t121) @t123 (not @t124)))) % 0.37/0.61 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p163 @p161 @p159 @p153 @p152) :args (@t120 (@list false true false false true false) (@list @t124 @t123 @t121 @t122 @t118 @t117))) % 0.37/0.61 (step @p168 :rule refl :args (@t125)) % 0.37/0.61 (step @p169 :rule bool-double-not-elim :args (@t115)) % 0.37/0.61 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or (not @t126) @t125))) % 0.37/0.61 (assume-push @p241 @t126) % 0.37/0.61 (step @p172 :rule skolemize :premises (@p241)) % 0.37/0.61 (step-pop @p242 :rule scope :premises (@p172)) % 0.37/0.61 (step @p173 :rule process_scope :premises (@p242) :args (@t125)) % 0.37/0.61 (step @p175 :rule implies_elim :premises (@p173)) % 0.37/0.61 (step @p176 :rule eq_resolve :premises (@p175 @p170)) % 0.37/0.61 (step @p177 :rule chain_m_resolution :premises (@p176 @p167) :args (@t115 @t82 (@list @t120))) % 0.37/0.61 (step @p178 :rule cnf_equiv_pos2 :args (@t128)) % 0.37/0.61 (step @p179 :rule reordering :premises (@p178) :args ((or @t127 @t126 (not @t128)))) % 0.37/0.61 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p146) :args (@t127 @t85 (@list @t115 @t128))) % 0.37/0.61 (step @p181 :rule cnf_equiv_pos2 :args (@t130)) % 0.37/0.61 (step @p182 :rule reordering :premises (@p181) :args ((or @t129 (not @t127) (not @t130)))) % 0.37/0.61 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p145) :args (@t129 @t85 (@list @t127 @t130))) % 0.37/0.61 (step @p184 :rule instantiate :premises (@p4) :args ((@list @t33 @t27 @t26))) % 0.37/0.61 (step @p185 :rule cnf_or_neg :args (@t97 1)) % 0.37/0.61 (step @p186 :rule chain_m_resolution :premises (@p185 @p123) :args ((not @t94) @t99 @t100)) % 0.37/0.61 (step @p187 :rule cnf_equiv_pos2 :args (@t133)) % 0.37/0.61 (step @p188 :rule reordering :premises (@p187) :args ((or @t94 @t134 (not @t133)))) % 0.37/0.61 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p184) :args (@t134 @t91 (@list @t94 @t133))) % 0.37/0.61 (step @p190 :rule cnf_and_neg :args (@t132)) % 0.37/0.61 (step @p191 :rule chain_m_resolution :premises (@p190 @p189 @p183) :args ((not @t131) @t91 (@list @t132 @t129))) % 0.37/0.61 (step @p192 :rule cnf_equiv_pos2 :args (@t136)) % 0.37/0.61 (step @p193 :rule reordering :premises (@p192) :args ((or @t131 @t137 (not @t136)))) % 0.37/0.61 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p144) :args (@t137 @t91 (@list @t131 @t136))) % 0.37/0.61 (step @p195 :rule cnf_equiv_pos2 :args (@t138)) % 0.37/0.61 (step @p196 :rule reordering :premises (@p195) :args ((or @t135 @t139 (not @t138)))) % 0.37/0.61 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p143) :args (@t139 @t91 (@list @t135 @t138))) % 0.37/0.61 (step @p198 :rule refl :args (@t142)) % 0.37/0.61 (step @p199 :rule bool-double-not-elim :args (@t106)) % 0.37/0.61 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or (not @t139) @t142))) % 0.37/0.61 (assume-push @p243 @t139) % 0.37/0.61 (step @p202 :rule skolemize :premises (@p243)) % 0.37/0.61 (step-pop @p244 :rule scope :premises (@p202)) % 0.37/0.61 (step @p203 :rule process_scope :premises (@p244) :args (@t142)) % 0.37/0.61 (step @p205 :rule implies_elim :premises (@p203)) % 0.37/0.61 (step @p206 :rule eq_resolve :premises (@p205 @p200)) % 0.37/0.61 (step @p207 :rule chain_m_resolution :premises (@p206 @p197) :args (@t142 @t99 (@list @t106))) % 0.37/0.61 (step @p208 :rule bool-double-not-elim :args (@t109)) % 0.37/0.61 (step @p209 :rule refl :args (@t141)) % 0.37/0.61 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t141 (not @t110)))) % 0.37/0.61 (step @p211 :rule cnf_or_neg :args (@t141 0)) % 0.37/0.61 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.37/0.61 (step @p213 :rule reordering :premises (@p212) :args ((or @t109 @t141))) % 0.37/0.61 (step @p214 :rule chain_m_resolution :premises (@p213 @p207) :args (@t109 @t99 @t143)) % 0.37/0.61 (step @p215 :rule cnf_or_pos :args (@t111)) % 0.37/0.61 (step @p216 :rule reordering :premises (@p215) :args ((or @t110 @t108 (not @t111)))) % 0.37/0.61 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p142) :args (@t108 @t85 (@list @t109 @t111))) % 0.37/0.61 (step @p218 :rule cnf_or_neg :args (@t141 1)) % 0.37/0.61 (step @p219 :rule chain_m_resolution :premises (@p218 @p207) :args ((not @t140) @t99 @t143)) % 0.37/0.61 (step @p220 :rule cnf_and_pos :args (@t144 0)) % 0.37/0.61 (step @p221 :rule reordering :premises (@p220) :args ((or @t140 @t145))) % 0.37/0.61 (step @p222 :rule chain_m_resolution :premises (@p221 @p219) :args (@t145 @t99 (@list @t140))) % 0.37/0.61 (step @p223 :rule instantiate :premises (@p4) :args ((@list @t107 @t24 @t23))) % 0.37/0.61 (step @p224 :rule cnf_equiv_pos1 :args (@t146)) % 0.37/0.61 (step @p225 :rule reordering :premises (@p224) :args ((or (not @t108) @t144 (not @t146)))) % 0.37/0.61 (step @p226 false :rule chain_m_resolution :premises (@p225 @p223 @p222 @p217) :args (false (@list false true false) (@list @t146 @t144 @t108))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------