%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET811+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:48:42 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 % 0.00/0.12 % Problem : SET811+4 : TPTP v9.2.1. Released v3.2.0. % 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 : n019.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 16:13:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----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 $$unsorted 0) % 0.37/0.61 (declare-const tptp.strict_order (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.on $$unsorted) % 0.37/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.set (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.initial_segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.empty_set $$unsorted) % 0.37/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.strict_well_order (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.member_predicate $$unsorted) % 0.37/0.61 (define @t1 () (@var "B" $$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.subset @t2 @t4)) % 0.37/0.61 (define @t13 () (@list @t2 @t4)) % 0.37/0.61 (define @t14 () (@list @t2 @t4 @t1)) % 0.37/0.61 (define @t15 () (@var "E" $$unsorted)) % 0.37/0.61 (define @t16 () (= @t2 @t4)) % 0.37/0.61 (define @t17 () (tptp.singleton @t4)) % 0.37/0.61 (define @t18 () (@var "Y" $$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 @t6 (=> @t5 @t12))) % 0.37/0.61 (define @t23 () (tptp.strict_well_order tptp.member_predicate @t4)) % 0.37/0.61 (define @t24 () (tptp.set @t4)) % 0.37/0.61 (define @t25 () (and @t24 @t23 @t22)) % 0.37/0.61 (define @t26 () (tptp.member @t4 tptp.on)) % 0.37/0.61 (define @t27 () (= @t26 @t25)) % 0.37/0.61 (define @t28 () (@list @t4)) % 0.37/0.61 (define @t29 () (forall @t28 @t27)) % 0.37/0.61 (define @t30 () (@var "R" $$unsorted)) % 0.37/0.61 (define @t31 () (tptp.strict_order @t30 @t15)) % 0.37/0.61 (define @t32 () (@list @t30 @t15)) % 0.37/0.61 (define @t33 () (@var "M" $$unsorted)) % 0.37/0.61 (define @t34 () (tptp.member @t2 @t15)) % 0.37/0.61 (define @t35 () (tptp.apply tptp.member_predicate @t2 @t18)) % 0.37/0.61 (define @t36 () (@list @t2 @t18)) % 0.37/0.61 (define @t37 () (forall @t36 (= @t35 @t19))) % 0.37/0.61 (define @t38 () (@var "Z" $$unsorted)) % 0.37/0.61 (define @t39 () (tptp.apply @t30 @t2 @t18)) % 0.37/0.61 (define @t40 () (tptp.member @t18 @t15)) % 0.37/0.61 (define @t41 () (tptp.apply @t30 @t18 @t2)) % 0.37/0.61 (define @t42 () (tptp.equal_set @t2 (tptp.initial_segment @t2 tptp.member_predicate @t4))) % 0.37/0.61 (define @t43 () (forall @t6 (=> @t5 @t42))) % 0.37/0.61 (define @t44 () (=> @t26 @t43)) % 0.37/0.61 (define @t45 () (forall @t28 @t44)) % 0.37/0.61 (define @t46 () (not @t45)) % 0.37/0.61 (define @t47 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 0.37/0.61 (define @t48 () (tptp.equal_set @t47 (tptp.initial_segment @t47 tptp.member_predicate @t4))) % 0.37/0.61 (define @t49 () (not (tptp.member @t47 @t4))) % 0.37/0.61 (define @t50 () (not @t26)) % 0.37/0.61 (define @t51 () (or @t50 @t49 @t48)) % 0.37/0.61 (define @t52 () (@list @t4 @t47)) % 0.37/0.61 (define @t53 () (forall @t52 @t51)) % 0.37/0.61 (define @t54 () (@quantifiers_skolemize @t53 1)) % 0.37/0.61 (define @t55 () (tptp.member @t2 @t54)) % 0.37/0.61 (define @t56 () (@quantifiers_skolemize @t53 0)) % 0.37/0.61 (define @t57 () (tptp.initial_segment @t54 tptp.member_predicate @t56)) % 0.37/0.61 (define @t58 () (tptp.member @t2 @t57)) % 0.37/0.61 (define @t59 () (forall @t6 (or (not @t58) @t55))) % 0.37/0.61 (define @t60 () (@quantifiers_skolemize @t59 0)) % 0.37/0.61 (define @t61 () (@list @t54 @t57)) % 0.37/0.61 (define @t62 () (not @t55)) % 0.37/0.61 (define @t63 () (forall @t6 (or @t62 @t58))) % 0.37/0.61 (define @t64 () (@quantifiers_skolemize @t63 0)) % 0.37/0.61 (define @t65 () (tptp.member @t64 @t54)) % 0.37/0.61 (define @t66 () (tptp.member @t64 @t57)) % 0.37/0.61 (define @t67 () (not @t65)) % 0.37/0.61 (define @t68 () (or @t67 @t66)) % 0.37/0.61 (define @t69 () (tptp.apply tptp.member_predicate @t64 @t54)) % 0.37/0.61 (define @t70 () (= @t65 @t69)) % 0.37/0.61 (define @t71 () (or @t49 @t48)) % 0.37/0.61 (define @t72 () (or @t50 @t71)) % 0.37/0.61 (define @t73 () (forall @t52 @t72)) % 0.37/0.61 (define @t74 () (@list @t47)) % 0.37/0.61 (define @t75 () (forall @t74 @t72)) % 0.37/0.61 (define @t76 () (forall @t74 @t71)) % 0.37/0.61 (define @t77 () (or @t50 @t76)) % 0.37/0.61 (define @t78 () (forall @t6 (or (not @t5) @t42))) % 0.37/0.61 (define @t79 () (tptp.member @t56 tptp.on)) % 0.37/0.61 (define @t80 () (tptp.equal_set @t54 @t57)) % 0.37/0.61 (define @t81 () (tptp.member @t54 @t56)) % 0.37/0.61 (define @t82 () (not @t81)) % 0.37/0.61 (define @t83 () (not @t79)) % 0.37/0.61 (define @t84 () (or @t83 @t82 @t80)) % 0.37/0.61 (define @t85 () (@list true)) % 0.37/0.61 (define @t86 () (@list @t84)) % 0.37/0.61 (define @t87 () (tptp.member @t2 @t56)) % 0.37/0.61 (define @t88 () (forall @t6 (or (not @t87) (tptp.subset @t2 @t56)))) % 0.37/0.61 (define @t89 () (and (tptp.set @t56) (tptp.strict_well_order tptp.member_predicate @t56) @t88)) % 0.37/0.61 (define @t90 () (= @t79 @t89)) % 0.37/0.61 (define @t91 () (@list false false)) % 0.37/0.61 (define @t92 () (@list false)) % 0.37/0.61 (define @t93 () (tptp.subset @t54 @t56)) % 0.37/0.61 (define @t94 () (or @t82 @t93)) % 0.37/0.61 (define @t95 () (forall @t6 (or @t62 @t87))) % 0.37/0.61 (define @t96 () (= @t93 @t95)) % 0.37/0.61 (define @t97 () (tptp.member @t64 @t56)) % 0.37/0.61 (define @t98 () (or @t67 @t97)) % 0.37/0.61 (define @t99 () (and @t97 @t69)) % 0.37/0.61 (define @t100 () (= @t66 @t99)) % 0.37/0.61 (define @t101 () (not @t68)) % 0.37/0.61 (define @t102 () (not @t63)) % 0.37/0.61 (define @t103 () (tptp.subset @t54 @t57)) % 0.37/0.61 (define @t104 () (= @t103 @t63)) % 0.37/0.61 (define @t105 () (tptp.subset @t57 @t54)) % 0.37/0.61 (define @t106 () (and @t103 @t105)) % 0.37/0.61 (define @t107 () (= @t80 @t106)) % 0.37/0.61 (define @t108 () (not @t106)) % 0.37/0.61 (define @t109 () (@list true false)) % 0.37/0.61 (define @t110 () (= @t105 @t59)) % 0.37/0.61 (define @t111 () (not @t59)) % 0.37/0.61 (define @t112 () (tptp.member @t60 @t54)) % 0.37/0.61 (define @t113 () (tptp.member @t60 @t57)) % 0.37/0.61 (define @t114 () (not @t113)) % 0.37/0.61 (define @t115 () (or @t114 @t112)) % 0.37/0.61 (define @t116 () (not @t115)) % 0.37/0.61 (define @t117 () (@list @t115)) % 0.37/0.61 (define @t118 () (tptp.apply tptp.member_predicate @t60 @t54)) % 0.37/0.61 (define @t119 () (and (tptp.member @t60 @t56) @t118)) % 0.37/0.61 (define @t120 () (= @t113 @t119)) % 0.37/0.61 (define @t121 () (= @t112 @t118)) % 0.37/0.61 (define @t122 () (not @t118)) % 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 (tptp.power_set @t4)) @t12))) % 0.37/0.61 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.61 (assume @p5 (forall @t14 (= (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 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.37/0.61 (assume @p8 (forall @t13 (= (tptp.member @t2 @t17) @t16))) % 0.37/0.61 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @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 @t29) % 0.37/0.61 (assume @p13 (forall @t32 (= (tptp.strict_well_order @t30 @t15) (and @t31 (forall @t28 (=> (and (tptp.subset @t4 @t15) (exists @t6 @t5)) (exists @t21 (tptp.least @t18 @t30 @t4)))))))) % 0.37/0.61 (assume @p14 (forall (@list @t30 @t15 @t33) (= (tptp.least @t33 @t30 @t15) (and (tptp.member @t33 @t15) (forall @t6 (=> @t34 (or (= @t33 @t2) (tptp.apply @t30 @t33 @t2)))))))) % 0.37/0.61 (assume @p15 @t37) % 0.37/0.61 (assume @p16 (forall @t32 (= @t31 (and (forall @t36 (=> (and @t34 @t40) (not (and @t39 @t41)))) (forall (@list @t2 @t18 @t38) (=> (and @t34 @t40 (tptp.member @t38 @t15)) (=> (and @t39 (tptp.apply @t30 @t18 @t38)) (tptp.apply @t30 @t2 @t38)))))))) % 0.37/0.61 (assume @p17 (forall @t6 (=> (tptp.set @t2) (forall @t21 (=> (tptp.member @t18 @t2) (tptp.set @t18)))))) % 0.37/0.61 (assume @p18 (forall (@list @t2 @t30 @t4 @t18) (= (tptp.member @t18 (tptp.initial_segment @t2 @t30 @t4)) (and @t20 @t41)))) % 0.37/0.61 (assume @p19 (forall (@list @t4 @t2) (= (tptp.member @t2 (tptp.suc @t4)) (tptp.member @t2 (tptp.union @t4 @t17))))) % 0.37/0.61 (assume @p20 @t46) % 0.37/0.61 (assume @p21 true) % 0.37/0.61 (step @p22 :rule instantiate :premises (@p18) :args ((@list @t54 tptp.member_predicate @t56 @t60))) % 0.37/0.61 (step @p23 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.61 (step @p24 :rule cong :premises (@p23) :args (@t7)) % 0.37/0.61 (step @p25 :rule refl :args (@t8)) % 0.37/0.61 (step @p26 :rule cong :premises (@p25 @p24) :args (@t9)) % 0.37/0.61 (step @p27 :rule cong :premises (@p26) :args (@t11)) % 0.37/0.61 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.37/0.61 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t57 @t54))) % 0.37/0.61 (step @p30 :rule instantiate :premises (@p28) :args (@t61)) % 0.37/0.61 (step @p31 :rule bool-double-not-elim :args (@t65)) % 0.37/0.61 (step @p32 :rule refl :args (@t68)) % 0.37/0.61 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t68 (not @t67)))) % 0.37/0.61 (step @p34 :rule cnf_or_neg :args (@t68 0)) % 0.37/0.61 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.37/0.61 (step @p36 :rule reordering :premises (@p35) :args ((or @t65 @t68))) % 0.37/0.61 (step @p37 :rule cnf_or_neg :args (@t68 1)) % 0.37/0.61 (step @p38 :rule eq-symm :args (@t35 @t19)) % 0.37/0.61 (step @p39 :rule cong :premises (@p38) :args (@t37)) % 0.37/0.61 (step @p40 :rule eq_resolve :premises (@p15 @p39)) % 0.37/0.61 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t64 @t54))) % 0.37/0.61 (step @p42 :rule cnf_equiv_pos1 :args (@t70)) % 0.37/0.61 (step @p43 :rule reordering :premises (@p42) :args ((or @t67 @t69 (not @t70)))) % 0.37/0.61 (step @p44 :rule instantiate :premises (@p28) :args ((@list @t54 @t56))) % 0.37/0.61 (step @p45 :rule bool-impl-elim :args (@t5 @t12)) % 0.37/0.61 (step @p46 :rule cong :premises (@p45) :args (@t22)) % 0.37/0.61 (step @p47 :rule refl :args (@t23)) % 0.37/0.61 (step @p48 :rule refl :args (@t24)) % 0.37/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t25)) % 0.37/0.61 (step @p50 :rule refl :args (@t26)) % 0.37/0.61 (step @p51 :rule cong :premises (@p50 @p49) :args (@t27)) % 0.37/0.61 (step @p52 :rule cong :premises (@p51) :args (@t29)) % 0.37/0.61 (step @p53 :rule eq_resolve :premises (@p12 @p52)) % 0.37/0.61 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t56))) % 0.37/0.61 (step @p55 :rule aci_norm :args ((= @t72 @t51))) % 0.37/0.61 (step @p56 :rule cong :premises (@p55) :args (@t73)) % 0.37/0.61 (step @p57 :rule quant-merge-prenex :args ((= (forall @t28 @t75) @t73))) % 0.37/0.61 (step @p58 :rule alpha_equiv :args (@t76 (@list @t47) (@list @t2))) % 0.37/0.61 (step @p59 :rule refl :args (@t50)) % 0.37/0.61 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t77)) % 0.37/0.61 (step @p61 :rule quant-miniscope-or :args ((= @t75 @t77))) % 0.37/0.61 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.61 (step @p63 :rule symm :premises (@p62)) % 0.37/0.61 (step @p64 :rule cong :premises (@p63) :args ((forall @t28 (or @t50 @t78)))) % 0.37/0.61 (step @p65 :rule trans :premises (@p64 @p57)) % 0.37/0.61 (step @p66 :rule trans :premises (@p65 @p56)) % 0.37/0.61 (step @p67 :rule bool-impl-elim :args (@t26 @t78)) % 0.37/0.61 (step @p68 :rule cong :premises (@p67) :args ((forall @t28 (=> @t26 @t78)))) % 0.37/0.61 (step @p69 :rule trans :premises (@p68 @p66)) % 0.37/0.61 (step @p70 :rule bool-impl-elim :args (@t5 @t42)) % 0.37/0.61 (step @p71 :rule cong :premises (@p70) :args (@t43)) % 0.37/0.61 (step @p72 :rule cong :premises (@p50 @p71) :args (@t44)) % 0.37/0.61 (step @p73 :rule cong :premises (@p72) :args (@t45)) % 0.37/0.61 (step @p74 :rule trans :premises (@p73 @p69)) % 0.37/0.61 (step @p75 :rule cong :premises (@p74) :args (@t46)) % 0.37/0.61 (step @p76 :rule eq_resolve :premises (@p20 @p75)) % 0.37/0.61 (step @p77 :rule skolemize :premises (@p76)) % 0.37/0.61 (step @p78 :rule bool-double-not-elim :args (@t79)) % 0.37/0.61 (step @p79 :rule refl :args (@t84)) % 0.37/0.61 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t84 (not @t83)))) % 0.37/0.61 (step @p81 :rule cnf_or_neg :args (@t84 0)) % 0.37/0.61 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.37/0.61 (step @p83 :rule reordering :premises (@p82) :args ((or @t79 @t84))) % 0.37/0.61 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t79 @t85 @t86)) % 0.37/0.61 (step @p85 :rule cnf_equiv_pos1 :args (@t90)) % 0.37/0.61 (step @p86 :rule reordering :premises (@p85) :args ((or @t83 @t89 (not @t90)))) % 0.37/0.61 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p54) :args (@t89 @t91 (@list @t79 @t90))) % 0.37/0.61 (step @p88 :rule cnf_and_pos :args (@t89 2)) % 0.37/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t88 (not @t89)))) % 0.37/0.61 (step @p90 :rule chain_m_resolution :premises (@p89 @p87) :args (@t88 @t92 (@list @t89))) % 0.37/0.61 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t54))) % 0.37/0.61 (step @p92 :rule bool-double-not-elim :args (@t81)) % 0.37/0.61 (step @p93 :rule nary_cong :premises (@p79 @p92) :args ((or @t84 (not @t82)))) % 0.37/0.61 (step @p94 :rule cnf_or_neg :args (@t84 1)) % 0.37/0.61 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.37/0.61 (step @p96 :rule reordering :premises (@p95) :args ((or @t81 @t84))) % 0.37/0.61 (step @p97 :rule chain_m_resolution :premises (@p96 @p77) :args (@t81 @t85 @t86)) % 0.37/0.61 (step @p98 :rule cnf_or_pos :args (@t94)) % 0.37/0.61 (step @p99 :rule reordering :premises (@p98) :args ((or @t82 @t93 (not @t94)))) % 0.37/0.61 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p91) :args (@t93 @t91 (@list @t81 @t94))) % 0.37/0.61 (step @p101 :rule cnf_equiv_pos1 :args (@t96)) % 0.37/0.61 (step @p102 :rule reordering :premises (@p101) :args ((or (not @t93) @t95 (not @t96)))) % 0.37/0.61 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p44) :args (@t95 @t91 (@list @t93 @t96))) % 0.37/0.61 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t64))) % 0.37/0.61 (step @p105 :rule cnf_or_pos :args (@t98)) % 0.37/0.61 (step @p106 :rule reordering :premises (@p105) :args ((or @t67 @t97 (not @t98)))) % 0.37/0.61 (step @p107 :rule instantiate :premises (@p18) :args ((@list @t54 tptp.member_predicate @t56 @t64))) % 0.37/0.61 (step @p108 :rule cnf_equiv_pos2 :args (@t100)) % 0.37/0.61 (step @p109 :rule reordering :premises (@p108) :args ((or @t66 (not @t99) (not @t100)))) % 0.37/0.61 (step @p110 :rule cnf_and_neg :args (@t99)) % 0.37/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t99 (not @t69) (not @t97)))) % 0.37/0.61 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p107 @p106 @p104 @p43 @p41 @p37 @p36) :args (@t68 (@list true false false false false false true false) (@list @t99 @t100 @t97 @t98 @t69 @t70 @t66 @t65))) % 0.37/0.61 (step @p113 :rule refl :args (@t101)) % 0.37/0.61 (step @p114 :rule bool-double-not-elim :args (@t63)) % 0.37/0.61 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t102) @t101))) % 0.37/0.61 (assume-push @p166 @t102) % 0.37/0.61 (step @p117 :rule skolemize :premises (@p166)) % 0.37/0.61 (step-pop @p167 :rule scope :premises (@p117)) % 0.37/0.61 (step @p118 :rule process_scope :premises (@p167) :args (@t101)) % 0.37/0.61 (step @p120 :rule implies_elim :premises (@p118)) % 0.37/0.61 (step @p121 :rule eq_resolve :premises (@p120 @p115)) % 0.37/0.61 (step @p122 :rule chain_m_resolution :premises (@p121 @p112) :args (@t63 @t92 (@list @t68))) % 0.37/0.61 (step @p123 :rule cnf_equiv_pos2 :args (@t104)) % 0.37/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t103 @t102 (not @t104)))) % 0.37/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p30) :args (@t103 @t91 (@list @t63 @t104))) % 0.37/0.61 (step @p126 :rule instantiate :premises (@p2) :args (@t61)) % 0.37/0.61 (step @p127 :rule cnf_or_neg :args (@t84 2)) % 0.37/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p77) :args ((not @t80) @t85 @t86)) % 0.37/0.61 (step @p129 :rule cnf_equiv_pos2 :args (@t107)) % 0.37/0.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t80 @t108 (not @t107)))) % 0.37/0.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p126) :args (@t108 @t109 (@list @t80 @t107))) % 0.37/0.61 (step @p132 :rule cnf_and_neg :args (@t106)) % 0.37/0.61 (step @p133 :rule chain_m_resolution :premises (@p132 @p131 @p125) :args ((not @t105) @t109 (@list @t106 @t103))) % 0.37/0.61 (step @p134 :rule cnf_equiv_pos2 :args (@t110)) % 0.37/0.61 (step @p135 :rule reordering :premises (@p134) :args ((or @t105 @t111 (not @t110)))) % 0.37/0.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p29) :args (@t111 @t109 (@list @t105 @t110))) % 0.37/0.61 (step @p137 :rule refl :args (@t116)) % 0.37/0.61 (step @p138 :rule bool-double-not-elim :args (@t59)) % 0.37/0.61 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t111) @t116))) % 0.37/0.61 (assume-push @p168 @t111) % 0.37/0.61 (step @p141 :rule skolemize :premises (@p168)) % 0.37/0.61 (step-pop @p169 :rule scope :premises (@p141)) % 0.37/0.61 (step @p142 :rule process_scope :premises (@p169) :args (@t116)) % 0.37/0.61 (step @p144 :rule implies_elim :premises (@p142)) % 0.37/0.61 (step @p145 :rule eq_resolve :premises (@p144 @p139)) % 0.37/0.61 (step @p146 :rule chain_m_resolution :premises (@p145 @p136) :args (@t116 @t85 (@list @t59))) % 0.37/0.61 (step @p147 :rule bool-double-not-elim :args (@t113)) % 0.37/0.61 (step @p148 :rule refl :args (@t115)) % 0.37/0.61 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t115 (not @t114)))) % 0.37/0.61 (step @p150 :rule cnf_or_neg :args (@t115 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 @t113 @t115))) % 0.37/0.61 (step @p153 :rule chain_m_resolution :premises (@p152 @p146) :args (@t113 @t85 @t117)) % 0.37/0.61 (step @p154 :rule cnf_equiv_pos1 :args (@t120)) % 0.37/0.61 (step @p155 :rule reordering :premises (@p154) :args ((or @t114 @t119 (not @t120)))) % 0.37/0.61 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p22) :args (@t119 @t91 (@list @t113 @t120))) % 0.37/0.61 (step @p157 :rule instantiate :premises (@p40) :args ((@list @t60 @t54))) % 0.37/0.61 (step @p158 :rule cnf_or_neg :args (@t115 1)) % 0.37/0.61 (step @p159 :rule chain_m_resolution :premises (@p158 @p146) :args ((not @t112) @t85 @t117)) % 0.37/0.61 (step @p160 :rule cnf_equiv_pos2 :args (@t121)) % 0.37/0.61 (step @p161 :rule reordering :premises (@p160) :args ((or @t112 @t122 (not @t121)))) % 0.37/0.61 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p157) :args (@t122 @t109 (@list @t112 @t121))) % 0.37/0.61 (step @p163 :rule cnf_and_pos :args (@t119 1)) % 0.37/0.61 (step @p164 :rule reordering :premises (@p163) :args ((or @t118 (not @t119)))) % 0.37/0.61 (step @p165 false :rule chain_m_resolution :premises (@p164 @p162 @p156) :args (false @t109 (@list @t118 @t119))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------