%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET701+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 : n004.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 08:48:28 AM UTC 2026 % Result : Theorem 0.46s 0.67s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET701+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:09:22 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.67 % SZS status Theorem % 0.46/0.67 % SZS output start Proof % 0.46/0.67 ( % 0.46/0.67 (declare-sort $$unsorted 0) % 0.46/0.67 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.empty_set $$unsorted) % 0.46/0.67 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (define @t1 () (@var "B" $$unsorted)) % 0.46/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.67 (define @t3 () (tptp.member @t2 @t1)) % 0.46/0.67 (define @t4 () (@var "A" $$unsorted)) % 0.46/0.67 (define @t5 () (tptp.member @t2 @t4)) % 0.46/0.67 (define @t6 () (@list @t2)) % 0.46/0.67 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.46/0.67 (define @t8 () (tptp.subset @t4 @t1)) % 0.46/0.67 (define @t9 () (= @t8 @t7)) % 0.46/0.67 (define @t10 () (@list @t4 @t1)) % 0.46/0.67 (define @t11 () (forall @t10 @t9)) % 0.46/0.67 (define @t12 () (@list @t2 @t4)) % 0.46/0.67 (define @t13 () (@list @t2 @t4 @t1)) % 0.46/0.67 (define @t14 () (@var "E" $$unsorted)) % 0.46/0.67 (define @t15 () (= @t2 @t4)) % 0.46/0.67 (define @t16 () (@var "Y" $$unsorted)) % 0.46/0.67 (define @t17 () (tptp.member @t2 @t16)) % 0.46/0.67 (define @t18 () (tptp.member @t16 @t4)) % 0.46/0.67 (define @t19 () (@list @t16)) % 0.46/0.67 (define @t20 () (@var "C" $$unsorted)) % 0.46/0.67 (define @t21 () (= @t8 (tptp.subset (tptp.intersection @t4 (tptp.difference @t14 @t1)) (tptp.intersection @t20 (tptp.difference @t14 @t20))))) % 0.46/0.67 (define @t22 () (tptp.subset @t1 @t14)) % 0.46/0.67 (define @t23 () (tptp.subset @t4 @t14)) % 0.46/0.67 (define @t24 () (and @t23 @t22)) % 0.46/0.67 (define @t25 () (@list @t4 @t1 @t20 @t14)) % 0.46/0.67 (define @t26 () (forall @t25 (=> @t24 @t21))) % 0.46/0.67 (define @t27 () (not @t26)) % 0.46/0.67 (define @t28 () (not @t22)) % 0.46/0.67 (define @t29 () (not @t23)) % 0.46/0.67 (define @t30 () (or @t29 @t28 @t21)) % 0.46/0.67 (define @t31 () (forall @t25 @t30)) % 0.46/0.67 (define @t32 () (@quantifiers_skolemize @t31 1)) % 0.46/0.67 (define @t33 () (@quantifiers_skolemize @t31 3)) % 0.46/0.67 (define @t34 () (tptp.difference @t33 @t32)) % 0.46/0.67 (define @t35 () (@quantifiers_skolemize @t31 0)) % 0.46/0.67 (define @t36 () (tptp.member @t2 @t35)) % 0.46/0.67 (define @t37 () (not @t36)) % 0.46/0.67 (define @t38 () (forall @t6 (or @t37 (tptp.member @t2 @t32)))) % 0.46/0.67 (define @t39 () (@quantifiers_skolemize @t38 0)) % 0.46/0.67 (define @t40 () (@quantifiers_skolemize @t31 2)) % 0.46/0.67 (define @t41 () (tptp.difference @t33 @t40)) % 0.46/0.67 (define @t42 () (tptp.intersection @t40 @t41)) % 0.46/0.67 (define @t43 () (tptp.intersection @t35 @t34)) % 0.46/0.67 (define @t44 () (tptp.subset @t43 @t42)) % 0.46/0.67 (define @t45 () (tptp.subset @t35 @t32)) % 0.46/0.67 (define @t46 () (= @t45 @t44)) % 0.46/0.67 (define @t47 () (tptp.subset @t35 @t33)) % 0.46/0.67 (define @t48 () (not @t47)) % 0.46/0.67 (define @t49 () (or @t48 (not (tptp.subset @t32 @t33)) @t46)) % 0.46/0.67 (define @t50 () (@list true)) % 0.46/0.67 (define @t51 () (@list @t49)) % 0.46/0.67 (define @t52 () (= @t45 @t38)) % 0.46/0.67 (define @t53 () (not @t52)) % 0.46/0.67 (define @t54 () (not @t38)) % 0.46/0.67 (define @t55 () (not (tptp.member @t2 @t43))) % 0.46/0.67 (define @t56 () (forall @t6 (or @t55 (tptp.member @t2 @t42)))) % 0.46/0.67 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.46/0.67 (define @t58 () (@list @t57)) % 0.46/0.67 (define @t59 () (tptp.member @t57 @t32)) % 0.46/0.67 (define @t60 () (tptp.member @t57 @t35)) % 0.46/0.67 (define @t61 () (not @t60)) % 0.46/0.67 (define @t62 () (or @t61 @t59)) % 0.46/0.67 (define @t63 () (= @t44 @t56)) % 0.46/0.67 (define @t64 () (not @t63)) % 0.46/0.67 (define @t65 () (not @t56)) % 0.46/0.67 (define @t66 () (tptp.member @t57 @t43)) % 0.46/0.67 (define @t67 () (not @t66)) % 0.46/0.67 (define @t68 () (or @t67 (tptp.member @t57 @t42))) % 0.46/0.67 (define @t69 () (not @t68)) % 0.46/0.67 (define @t70 () (tptp.member @t57 @t34)) % 0.46/0.67 (define @t71 () (and @t60 @t70)) % 0.46/0.67 (define @t72 () (= @t66 @t71)) % 0.46/0.67 (define @t73 () (forall @t6 (or @t55 @t36))) % 0.46/0.67 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.46/0.67 (define @t75 () (tptp.member @t74 @t43)) % 0.46/0.67 (define @t76 () (tptp.member @t74 @t35)) % 0.46/0.67 (define @t77 () (not @t75)) % 0.46/0.67 (define @t78 () (or @t77 @t76)) % 0.46/0.67 (define @t79 () (and @t76 (tptp.member @t74 @t34))) % 0.46/0.67 (define @t80 () (= @t75 @t79)) % 0.46/0.67 (define @t81 () (not @t78)) % 0.46/0.67 (define @t82 () (not @t73)) % 0.46/0.67 (define @t83 () (@list false)) % 0.46/0.67 (define @t84 () (or @t67 @t60)) % 0.46/0.67 (define @t85 () (not @t59)) % 0.46/0.67 (define @t86 () (and (tptp.member @t57 @t33) @t85)) % 0.46/0.67 (define @t87 () (= @t70 @t86)) % 0.46/0.67 (define @t88 () (not @t45)) % 0.46/0.67 (define @t89 () (@list true false)) % 0.46/0.67 (define @t90 () (@list false false)) % 0.46/0.67 (define @t91 () (@list @t39)) % 0.46/0.67 (define @t92 () (tptp.member @t39 @t42)) % 0.46/0.67 (define @t93 () (tptp.member @t39 @t43)) % 0.46/0.67 (define @t94 () (not @t93)) % 0.46/0.67 (define @t95 () (or @t94 @t92)) % 0.46/0.67 (define @t96 () (tptp.member @t39 @t41)) % 0.46/0.67 (define @t97 () (tptp.member @t39 @t40)) % 0.46/0.67 (define @t98 () (and @t97 @t96)) % 0.46/0.67 (define @t99 () (not @t98)) % 0.46/0.67 (define @t100 () (not @t97)) % 0.46/0.67 (define @t101 () (tptp.member @t39 @t33)) % 0.46/0.67 (define @t102 () (and @t101 @t100)) % 0.46/0.67 (define @t103 () (= @t96 @t102)) % 0.46/0.67 (define @t104 () (= @t92 @t98)) % 0.46/0.67 (define @t105 () (not @t92)) % 0.46/0.67 (define @t106 () (tptp.member @t39 @t34)) % 0.46/0.67 (define @t107 () (tptp.member @t39 @t35)) % 0.46/0.67 (define @t108 () (and @t107 @t106)) % 0.46/0.67 (define @t109 () (= @t93 @t108)) % 0.46/0.67 (define @t110 () (not @t108)) % 0.46/0.67 (define @t111 () (tptp.member @t39 @t32)) % 0.46/0.67 (define @t112 () (not @t107)) % 0.46/0.67 (define @t113 () (or @t112 @t111)) % 0.46/0.67 (define @t114 () (not @t113)) % 0.46/0.67 (define @t115 () (@list @t113)) % 0.46/0.67 (define @t116 () (not @t106)) % 0.46/0.67 (define @t117 () (forall @t6 (or @t37 (tptp.member @t2 @t33)))) % 0.46/0.67 (define @t118 () (= @t47 @t117)) % 0.46/0.67 (define @t119 () (or @t112 @t101)) % 0.46/0.67 (define @t120 () (not @t111)) % 0.46/0.67 (define @t121 () (not @t101)) % 0.46/0.67 (define @t122 () (and @t101 @t120)) % 0.46/0.67 (define @t123 () (= @t106 @t122)) % 0.46/0.67 (assume @p1 @t11) % 0.46/0.67 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.46/0.67 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.46/0.67 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.46/0.67 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.46/0.67 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.46/0.67 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.46/0.67 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t15))) % 0.46/0.67 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.46/0.67 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t19 (and @t18 @t17))))) % 0.46/0.67 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t19 (=> @t18 @t17))))) % 0.46/0.67 (assume @p12 @t27) % 0.46/0.67 (assume @p13 true) % 0.46/0.67 (step @p14 :rule instantiate :premises (@p4) :args ((@list @t39 @t35 @t34))) % 0.46/0.67 (step @p15 :rule bool-impl-elim :args (@t5 @t3)) % 0.46/0.67 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.46/0.67 (step @p17 :rule refl :args (@t8)) % 0.46/0.67 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.46/0.67 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.46/0.67 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.46/0.67 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t43 @t42))) % 0.46/0.67 (step @p22 :rule aci_norm :args ((= (or (or @t29 @t28) @t21) @t30))) % 0.46/0.67 (step @p23 :rule refl :args (@t21)) % 0.46/0.67 (step @p24 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.46/0.67 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t24) @t21))) % 0.46/0.67 (step @p26 :rule trans :premises (@p25 @p22)) % 0.46/0.67 (step @p27 :rule bool-impl-elim :args (@t24 @t21)) % 0.46/0.67 (step @p28 :rule trans :premises (@p27 @p26)) % 0.46/0.67 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 0.46/0.67 (step @p30 :rule cong :premises (@p29) :args (@t27)) % 0.46/0.67 (step @p31 :rule eq_resolve :premises (@p12 @p30)) % 0.46/0.67 (step @p32 :rule skolemize :premises (@p31)) % 0.46/0.67 (step @p33 :rule cnf_or_neg :args (@t49 2)) % 0.46/0.67 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args ((not @t46) @t50 @t51)) % 0.46/0.67 (step @p35 :rule instantiate :premises (@p20) :args ((@list @t35 @t32))) % 0.46/0.67 (step @p36 :rule cnf_equiv_pos2 :args (@t52)) % 0.46/0.67 (step @p37 :rule reordering :premises (@p36) :args ((or @t45 @t54 @t53))) % 0.46/0.67 (assume-push @p189 @t38) % 0.46/0.67 (step @p39 :rule instantiate :premises (@p189) :args (@t58)) % 0.46/0.67 (step-pop @p190 :rule scope :premises (@p39)) % 0.46/0.67 (step @p40 :rule process_scope :premises (@p190) :args (@t62)) % 0.46/0.67 (step @p42 :rule implies_elim :premises (@p40)) % 0.46/0.67 (step @p43 :rule cnf_equiv_neg2 :args (@t46)) % 0.46/0.67 (step @p44 :rule cnf_equiv_pos2 :args (@t63)) % 0.46/0.67 (step @p45 :rule reordering :premises (@p44) :args ((or @t44 @t65 @t64))) % 0.46/0.67 (step @p46 :rule refl :args (@t69)) % 0.46/0.67 (step @p47 :rule bool-double-not-elim :args (@t56)) % 0.46/0.67 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t65) @t69))) % 0.46/0.67 (assume-push @p191 @t65) % 0.46/0.67 (step @p50 :rule skolemize :premises (@p191)) % 0.46/0.67 (step-pop @p192 :rule scope :premises (@p50)) % 0.46/0.67 (step @p51 :rule process_scope :premises (@p192) :args (@t69)) % 0.46/0.67 (step @p53 :rule implies_elim :premises (@p51)) % 0.46/0.67 (step @p54 :rule eq_resolve :premises (@p53 @p48)) % 0.46/0.67 (step @p55 :rule bool-double-not-elim :args (@t66)) % 0.46/0.67 (step @p56 :rule refl :args (@t68)) % 0.46/0.67 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t68 (not @t67)))) % 0.46/0.67 (step @p58 :rule cnf_or_neg :args (@t68 0)) % 0.46/0.67 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.46/0.67 (step @p60 :rule reordering :premises (@p59) :args ((or @t66 @t68))) % 0.46/0.67 (step @p61 :rule instantiate :premises (@p4) :args ((@list @t57 @t35 @t34))) % 0.46/0.67 (step @p62 :rule cnf_equiv_pos1 :args (@t72)) % 0.46/0.67 (step @p63 :rule reordering :premises (@p62) :args ((or @t67 @t71 (not @t72)))) % 0.46/0.67 (step @p64 :rule bool-double-not-elim :args (@t75)) % 0.46/0.67 (step @p65 :rule refl :args (@t78)) % 0.46/0.67 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t78 (not @t77)))) % 0.46/0.67 (step @p67 :rule cnf_or_neg :args (@t78 0)) % 0.46/0.67 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.46/0.67 (step @p69 :rule reordering :premises (@p68) :args ((or @t75 @t78))) % 0.46/0.67 (step @p70 :rule cnf_or_neg :args (@t78 1)) % 0.46/0.67 (step @p71 :rule instantiate :premises (@p4) :args ((@list @t74 @t35 @t34))) % 0.46/0.67 (step @p72 :rule cnf_equiv_pos1 :args (@t80)) % 0.46/0.67 (step @p73 :rule reordering :premises (@p72) :args ((or @t77 @t79 (not @t80)))) % 0.46/0.67 (step @p74 :rule cnf_and_pos :args (@t79 0)) % 0.46/0.67 (step @p75 :rule reordering :premises (@p74) :args ((or @t76 (not @t79)))) % 0.46/0.67 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p71 @p70 @p69) :args (@t78 (@list false false true false) (@list @t79 @t80 @t76 @t75))) % 0.46/0.67 (step @p77 :rule refl :args (@t81)) % 0.46/0.67 (step @p78 :rule bool-double-not-elim :args (@t73)) % 0.46/0.67 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t82) @t81))) % 0.46/0.67 (assume-push @p193 @t82) % 0.46/0.67 (step @p81 :rule skolemize :premises (@p193)) % 0.46/0.67 (step-pop @p194 :rule scope :premises (@p81)) % 0.46/0.67 (step @p82 :rule process_scope :premises (@p194) :args (@t81)) % 0.46/0.67 (step @p84 :rule implies_elim :premises (@p82)) % 0.46/0.67 (step @p85 :rule eq_resolve :premises (@p84 @p79)) % 0.46/0.67 (step @p86 :rule chain_m_resolution :premises (@p85 @p76) :args (@t73 @t83 (@list @t78))) % 0.46/0.67 (assume-push @p195 @t73) % 0.46/0.67 (step @p88 :rule instantiate :premises (@p195) :args (@t58)) % 0.46/0.67 (step-pop @p196 :rule scope :premises (@p88)) % 0.46/0.67 (step @p89 :rule process_scope :premises (@p196) :args (@t84)) % 0.46/0.67 (step @p91 :rule implies_elim :premises (@p89)) % 0.46/0.67 (step @p92 :rule chain_m_resolution :premises (@p91 @p86) :args (@t84 @t83 (@list @t73))) % 0.46/0.67 (step @p93 :rule cnf_or_pos :args (@t84)) % 0.46/0.67 (step @p94 :rule reordering :premises (@p93) :args ((or @t67 @t60 (not @t84)))) % 0.46/0.67 (step @p95 :rule cnf_and_pos :args (@t71 1)) % 0.46/0.67 (step @p96 :rule reordering :premises (@p95) :args ((or @t70 (not @t71)))) % 0.46/0.67 (step @p97 :rule cnf_or_pos :args (@t62)) % 0.46/0.67 (step @p98 :rule reordering :premises (@p97) :args ((or @t61 @t59 (not @t62)))) % 0.46/0.67 (step @p99 :rule instantiate :premises (@p7) :args ((@list @t57 @t32 @t33))) % 0.46/0.67 (step @p100 :rule cnf_equiv_pos1 :args (@t87)) % 0.46/0.67 (step @p101 :rule reordering :premises (@p100) :args ((or (not @t70) @t86 (not @t87)))) % 0.46/0.67 (step @p102 :rule cnf_and_pos :args (@t86 1)) % 0.46/0.67 (step @p103 :rule reordering :premises (@p102) :args ((or @t85 (not @t86)))) % 0.46/0.67 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p99 @p98 @p96 @p94 @p92 @p63 @p61 @p60 @p54 @p45 @p21 @p43 @p34 @p42 @p37 @p35) :args (@t54 (@list false false false false false false false false false true true false true true false false false) (@list @t86 @t87 @t59 @t70 @t60 @t84 @t71 @t72 @t66 @t68 @t56 @t63 @t44 @t46 @t62 @t45 @t52))) % 0.46/0.67 (step @p105 :rule cnf_equiv_pos1 :args (@t52)) % 0.46/0.67 (step @p106 :rule reordering :premises (@p105) :args ((or @t88 @t38 @t53))) % 0.46/0.67 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p35) :args (@t88 @t89 (@list @t38 @t52))) % 0.46/0.67 (step @p108 :rule cnf_equiv_neg1 :args (@t46)) % 0.46/0.67 (step @p109 :rule reordering :premises (@p108) :args ((or @t45 @t44 @t46))) % 0.46/0.67 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p34) :args (@t44 (@list true true) (@list @t45 @t46))) % 0.46/0.67 (step @p111 :rule cnf_equiv_pos1 :args (@t63)) % 0.46/0.67 (step @p112 :rule reordering :premises (@p111) :args ((or (not @t44) @t56 @t64))) % 0.46/0.67 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p21) :args (@t56 @t90 (@list @t44 @t63))) % 0.46/0.67 (assume-push @p197 @t56) % 0.46/0.67 (step @p115 :rule instantiate :premises (@p197) :args (@t91)) % 0.46/0.67 (step-pop @p198 :rule scope :premises (@p115)) % 0.46/0.67 (step @p116 :rule process_scope :premises (@p198) :args (@t95)) % 0.46/0.67 (step @p118 :rule implies_elim :premises (@p116)) % 0.46/0.67 (step @p119 :rule chain_m_resolution :premises (@p118 @p113) :args (@t95 @t83 (@list @t56))) % 0.46/0.67 (step @p120 :rule instantiate :premises (@p4) :args ((@list @t39 @t40 @t41))) % 0.46/0.67 (step @p121 :rule cnf_and_pos :args (@t98 0)) % 0.46/0.67 (step @p122 :rule reordering :premises (@p121) :args ((or @t97 @t99))) % 0.46/0.67 (step @p123 :rule cnf_and_pos :args (@t98 1)) % 0.46/0.67 (step @p124 :rule reordering :premises (@p123) :args ((or @t96 @t99))) % 0.46/0.67 (step @p125 :rule cnf_and_pos :args (@t102 1)) % 0.46/0.67 (step @p126 :rule reordering :premises (@p125) :args ((or @t100 (not @t102)))) % 0.46/0.67 (step @p127 :rule instantiate :premises (@p7) :args ((@list @t39 @t40 @t33))) % 0.46/0.67 (step @p128 :rule cnf_equiv_pos1 :args (@t103)) % 0.46/0.67 (step @p129 :rule reordering :premises (@p128) :args ((or (not @t96) @t102 (not @t103)))) % 0.46/0.67 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p126 @p124 @p122) :args (@t99 (@list false true false false) (@list @t103 @t102 @t96 @t97))) % 0.46/0.67 (step @p131 :rule cnf_equiv_pos1 :args (@t104)) % 0.46/0.67 (step @p132 :rule reordering :premises (@p131) :args ((or @t105 @t98 (not @t104)))) % 0.46/0.67 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p120) :args (@t105 @t89 (@list @t98 @t104))) % 0.46/0.67 (step @p134 :rule cnf_or_pos :args (@t95)) % 0.46/0.67 (step @p135 :rule reordering :premises (@p134) :args ((or @t94 @t92 (not @t95)))) % 0.46/0.67 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p119) :args (@t94 @t89 (@list @t92 @t95))) % 0.46/0.67 (step @p137 :rule cnf_equiv_pos2 :args (@t109)) % 0.46/0.67 (step @p138 :rule reordering :premises (@p137) :args ((or @t93 @t110 (not @t109)))) % 0.46/0.67 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p14) :args (@t110 @t89 (@list @t93 @t109))) % 0.46/0.67 (step @p140 :rule refl :args (@t114)) % 0.46/0.67 (step @p141 :rule bool-double-not-elim :args (@t38)) % 0.46/0.67 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t54) @t114))) % 0.46/0.67 (assume-push @p199 @t54) % 0.46/0.67 (step @p144 :rule skolemize :premises (@p199)) % 0.46/0.67 (step-pop @p200 :rule scope :premises (@p144)) % 0.46/0.67 (step @p145 :rule process_scope :premises (@p200) :args (@t114)) % 0.46/0.67 (step @p147 :rule implies_elim :premises (@p145)) % 0.46/0.67 (step @p148 :rule eq_resolve :premises (@p147 @p142)) % 0.46/0.67 (step @p149 :rule chain_m_resolution :premises (@p148 @p104) :args (@t114 @t50 (@list @t38))) % 0.46/0.67 (step @p150 :rule bool-double-not-elim :args (@t107)) % 0.46/0.67 (step @p151 :rule refl :args (@t113)) % 0.46/0.67 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t113 (not @t112)))) % 0.46/0.67 (step @p153 :rule cnf_or_neg :args (@t113 0)) % 0.46/0.67 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.46/0.67 (step @p155 :rule reordering :premises (@p154) :args ((or @t107 @t113))) % 0.46/0.67 (step @p156 :rule chain_m_resolution :premises (@p155 @p149) :args (@t107 @t50 @t115)) % 0.46/0.67 (step @p157 :rule cnf_and_neg :args (@t108)) % 0.46/0.67 (step @p158 :rule reordering :premises (@p157) :args ((or @t112 @t108 @t116))) % 0.46/0.67 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p139) :args (@t116 (@list false true) (@list @t107 @t108))) % 0.46/0.67 (step @p160 :rule instantiate :premises (@p20) :args ((@list @t35 @t33))) % 0.46/0.67 (step @p161 :rule bool-double-not-elim :args (@t47)) % 0.46/0.67 (step @p162 :rule refl :args (@t49)) % 0.46/0.67 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t49 (not @t48)))) % 0.46/0.67 (step @p164 :rule cnf_or_neg :args (@t49 0)) % 0.46/0.67 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 0.46/0.67 (step @p166 :rule reordering :premises (@p165) :args ((or @t47 @t49))) % 0.46/0.67 (step @p167 :rule chain_m_resolution :premises (@p166 @p32) :args (@t47 @t50 @t51)) % 0.46/0.67 (step @p168 :rule cnf_equiv_pos1 :args (@t118)) % 0.46/0.67 (step @p169 :rule reordering :premises (@p168) :args ((or @t48 @t117 (not @t118)))) % 0.46/0.67 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p160) :args (@t117 @t90 (@list @t47 @t118))) % 0.46/0.67 (step @p171 :rule instantiate :premises (@p170) :args (@t91)) % 0.46/0.67 (step @p172 :rule cnf_or_pos :args (@t119)) % 0.46/0.67 (step @p173 :rule reordering :premises (@p172) :args ((or @t112 @t101 (not @t119)))) % 0.46/0.67 (step @p174 :rule chain_m_resolution :premises (@p173 @p156 @p171) :args (@t101 @t90 (@list @t107 @t119))) % 0.46/0.67 (step @p175 :rule cnf_or_neg :args (@t113 1)) % 0.46/0.67 (step @p176 :rule chain_m_resolution :premises (@p175 @p149) :args (@t120 @t50 @t115)) % 0.46/0.67 (step @p177 :rule bool-double-not-elim :args (@t111)) % 0.46/0.67 (step @p178 :rule refl :args (@t121)) % 0.46/0.67 (step @p179 :rule refl :args (@t122)) % 0.46/0.67 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args ((or @t122 @t121 (not @t120)))) % 0.46/0.67 (step @p181 :rule cnf_and_neg :args (@t122)) % 0.46/0.67 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 0.46/0.67 (step @p183 :rule reordering :premises (@p182) :args ((or @t111 @t121 @t122))) % 0.46/0.67 (step @p184 :rule chain_m_resolution :premises (@p183 @p176 @p174) :args (@t122 @t89 (@list @t111 @t101))) % 0.46/0.67 (step @p185 :rule instantiate :premises (@p7) :args ((@list @t39 @t32 @t33))) % 0.46/0.67 (step @p186 :rule cnf_equiv_pos2 :args (@t123)) % 0.46/0.67 (step @p187 :rule reordering :premises (@p186) :args ((or @t106 (not @t122) (not @t123)))) % 0.46/0.67 (step @p188 false :rule chain_m_resolution :premises (@p187 @p185 @p184 @p159) :args (false (@list false false true) (@list @t123 @t122 @t106))) % 0.46/0.67 ) % 0.46/0.67 % SZS output end Proof % 0.46/0.67 % cvc5 exiting %------------------------------------------------------------------------------