%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET615+3 : 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 : n028.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 08:48:14 AM UTC 2026 % Result : Theorem 1.21s 1.42s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET615+3 : 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 : n028.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 16:05:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.21/1.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.21/1.42 % SZS status Theorem % 1.21/1.42 % SZS output start Proof % 1.21/1.42 ( % 1.21/1.42 (declare-sort $$unsorted 0) % 1.21/1.42 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.21/1.42 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.42 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.42 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.21/1.42 (define @t1 () (@var "C" $$unsorted)) % 1.21/1.42 (define @t2 () (@var "D" $$unsorted)) % 1.21/1.42 (define @t3 () (tptp.member @t2 @t1)) % 1.21/1.42 (define @t4 () (@var "B" $$unsorted)) % 1.21/1.42 (define @t5 () (tptp.member @t2 @t4)) % 1.21/1.42 (define @t6 () (tptp.union @t4 @t1)) % 1.21/1.42 (define @t7 () (@list @t4 @t1 @t2)) % 1.21/1.42 (define @t8 () (tptp.subset @t4 @t1)) % 1.21/1.42 (define @t9 () (= @t4 @t1)) % 1.21/1.42 (define @t10 () (@list @t4 @t1)) % 1.21/1.42 (define @t11 () (@list @t2)) % 1.21/1.42 (define @t12 () (forall @t10 (= @t9 (forall @t11 (= @t5 @t3))))) % 1.21/1.42 (define @t13 () (forall @t7 (= (tptp.difference @t6 @t2) (tptp.union (tptp.difference @t4 @t2) (tptp.difference @t1 @t2))))) % 1.21/1.42 (define @t14 () (@quantifiers_skolemize @t13 2)) % 1.21/1.42 (define @t15 () (@quantifiers_skolemize @t13 1)) % 1.21/1.42 (define @t16 () (@quantifiers_skolemize @t13 0)) % 1.21/1.42 (define @t17 () (tptp.union @t16 @t15)) % 1.21/1.42 (define @t18 () (tptp.difference @t17 @t14)) % 1.21/1.42 (define @t19 () (tptp.member @t2 @t18)) % 1.21/1.42 (define @t20 () (tptp.difference @t15 @t14)) % 1.21/1.42 (define @t21 () (tptp.difference @t16 @t14)) % 1.21/1.42 (define @t22 () (tptp.union @t21 @t20)) % 1.21/1.42 (define @t23 () (forall @t11 (= (tptp.member @t2 @t22) @t19))) % 1.21/1.42 (define @t24 () (@quantifiers_skolemize @t23 0)) % 1.21/1.42 (define @t25 () (tptp.member @t24 @t14)) % 1.21/1.42 (define @t26 () (not @t25)) % 1.21/1.42 (define @t27 () (tptp.member @t24 @t16)) % 1.21/1.42 (define @t28 () (and @t27 @t26)) % 1.21/1.42 (define @t29 () (tptp.member @t24 @t21)) % 1.21/1.42 (define @t30 () (= @t29 @t28)) % 1.21/1.42 (define @t31 () (not @t30)) % 1.21/1.42 (define @t32 () (not @t28)) % 1.21/1.42 (define @t33 () (tptp.member @t24 @t20)) % 1.21/1.42 (define @t34 () (or @t29 @t33)) % 1.21/1.42 (define @t35 () (tptp.member @t24 @t22)) % 1.21/1.42 (define @t36 () (= @t35 @t34)) % 1.21/1.42 (define @t37 () (not @t36)) % 1.21/1.42 (define @t38 () (not @t34)) % 1.21/1.42 (define @t39 () (= (= @t22 @t18) @t23)) % 1.21/1.42 (define @t40 () (= @t18 @t22)) % 1.21/1.42 (define @t41 () (= @t40 @t23)) % 1.21/1.42 (define @t42 () (@list false)) % 1.21/1.42 (define @t43 () (not @t23)) % 1.21/1.42 (define @t44 () (@list true false)) % 1.21/1.42 (define @t45 () (tptp.member @t24 @t18)) % 1.21/1.42 (define @t46 () (= @t35 @t45)) % 1.21/1.42 (define @t47 () (not (tptp.member @t2 @t20))) % 1.21/1.42 (define @t48 () (forall @t11 (or @t47 @t19))) % 1.21/1.42 (define @t49 () (@quantifiers_skolemize @t48 0)) % 1.21/1.42 (define @t50 () (tptp.member @t49 @t20)) % 1.21/1.42 (define @t51 () (tptp.member @t49 @t18)) % 1.21/1.42 (define @t52 () (not @t50)) % 1.21/1.42 (define @t53 () (or @t52 @t51)) % 1.21/1.42 (define @t54 () (tptp.member @t49 @t14)) % 1.21/1.42 (define @t55 () (not @t54)) % 1.21/1.42 (define @t56 () (tptp.member @t49 @t15)) % 1.21/1.42 (define @t57 () (and @t56 @t55)) % 1.21/1.42 (define @t58 () (= @t50 @t57)) % 1.21/1.42 (define @t59 () (tptp.member @t49 @t17)) % 1.21/1.42 (define @t60 () (and @t59 @t55)) % 1.21/1.42 (define @t61 () (= @t51 @t60)) % 1.21/1.42 (define @t62 () (not @t57)) % 1.21/1.42 (define @t63 () (not @t59)) % 1.21/1.42 (define @t64 () (tptp.union @t15 @t16)) % 1.21/1.42 (define @t65 () (= @t17 @t64)) % 1.21/1.42 (define @t66 () (tptp.member @t49 @t64)) % 1.21/1.42 (define @t67 () (and @t65 @t66)) % 1.21/1.42 (define @t68 () (or @t56 (tptp.member @t49 @t16))) % 1.21/1.42 (define @t69 () (= @t66 @t68)) % 1.21/1.42 (define @t70 () (not @t53)) % 1.21/1.42 (define @t71 () (not @t48)) % 1.21/1.42 (define @t72 () (@list @t24)) % 1.21/1.42 (define @t73 () (not @t33)) % 1.21/1.42 (define @t74 () (or @t73 @t45)) % 1.21/1.42 (define @t75 () (@list @t48)) % 1.21/1.42 (define @t76 () (tptp.member @t24 @t15)) % 1.21/1.42 (define @t77 () (and @t76 @t26)) % 1.21/1.42 (define @t78 () (= @t33 @t77)) % 1.21/1.42 (define @t79 () (tptp.member @t24 @t17)) % 1.21/1.42 (define @t80 () (and @t79 @t26)) % 1.21/1.42 (define @t81 () (= @t45 @t80)) % 1.21/1.42 (define @t82 () (not @t81)) % 1.21/1.42 (define @t83 () (not @t45)) % 1.21/1.42 (define @t84 () (not @t80)) % 1.21/1.42 (define @t85 () (not @t27)) % 1.21/1.42 (define @t86 () (not @t26)) % 1.21/1.42 (define @t87 () (not @t76)) % 1.21/1.42 (define @t88 () (tptp.member @t2 @t17)) % 1.21/1.42 (define @t89 () (forall @t11 (or (not @t19) @t88))) % 1.21/1.42 (define @t90 () (@quantifiers_skolemize @t89 0)) % 1.21/1.42 (define @t91 () (tptp.member @t90 @t18)) % 1.21/1.42 (define @t92 () (tptp.member @t90 @t17)) % 1.21/1.42 (define @t93 () (not @t91)) % 1.21/1.42 (define @t94 () (or @t93 @t92)) % 1.21/1.42 (define @t95 () (and @t92 (not (tptp.member @t90 @t14)))) % 1.21/1.42 (define @t96 () (= @t91 @t95)) % 1.21/1.42 (define @t97 () (@list false false true false)) % 1.21/1.42 (define @t98 () (not @t94)) % 1.21/1.42 (define @t99 () (not @t89)) % 1.21/1.42 (define @t100 () (or @t83 @t79)) % 1.21/1.42 (define @t101 () (@list @t89)) % 1.21/1.42 (define @t102 () (forall @t11 (or (not (tptp.member @t2 @t16)) @t88))) % 1.21/1.42 (define @t103 () (@quantifiers_skolemize @t102 0)) % 1.21/1.42 (define @t104 () (tptp.member @t103 @t16)) % 1.21/1.42 (define @t105 () (tptp.member @t103 @t17)) % 1.21/1.42 (define @t106 () (not @t104)) % 1.21/1.42 (define @t107 () (or @t106 @t105)) % 1.21/1.42 (define @t108 () (or @t104 (tptp.member @t103 @t15))) % 1.21/1.42 (define @t109 () (= @t105 @t108)) % 1.21/1.42 (define @t110 () (not @t107)) % 1.21/1.42 (define @t111 () (not @t102)) % 1.21/1.42 (define @t112 () (or @t85 @t79)) % 1.21/1.42 (define @t113 () (forall @t11 (or @t47 @t88))) % 1.21/1.42 (define @t114 () (@quantifiers_skolemize @t113 0)) % 1.21/1.42 (define @t115 () (tptp.member @t114 @t20)) % 1.21/1.42 (define @t116 () (tptp.member @t114 @t17)) % 1.21/1.42 (define @t117 () (not @t115)) % 1.21/1.42 (define @t118 () (or @t117 @t116)) % 1.21/1.42 (define @t119 () (@list @t114)) % 1.21/1.42 (define @t120 () (tptp.member @t114 @t18)) % 1.21/1.42 (define @t121 () (or @t117 @t120)) % 1.21/1.42 (define @t122 () (not @t120)) % 1.21/1.42 (define @t123 () (or @t122 @t116)) % 1.21/1.42 (define @t124 () (not @t118)) % 1.21/1.42 (define @t125 () (not @t113)) % 1.21/1.42 (define @t126 () (or @t73 @t79)) % 1.21/1.42 (define @t127 () (or @t27 @t76)) % 1.21/1.42 (define @t128 () (= @t79 @t127)) % 1.21/1.42 (define @t129 () (not @t79)) % 1.21/1.42 (define @t130 () (@list false false)) % 1.21/1.42 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 1.21/1.42 (assume @p2 (forall @t7 (= (tptp.member @t2 (tptp.difference @t4 @t1)) (and @t5 (not @t3))))) % 1.21/1.42 (assume @p3 (forall @t10 (= @t9 (and @t8 (tptp.subset @t1 @t4))))) % 1.21/1.42 (assume @p4 (forall @t10 (= @t6 (tptp.union @t1 @t4)))) % 1.21/1.42 (assume @p5 (forall @t10 (= @t8 (forall @t11 (=> @t5 @t3))))) % 1.21/1.42 (assume @p6 (forall (@list @t4) (tptp.subset @t4 @t4))) % 1.21/1.42 (assume @p7 @t12) % 1.21/1.42 (assume @p8 (not @t13)) % 1.21/1.42 (assume @p9 true) % 1.21/1.42 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t17 @t14 @t24))) % 1.21/1.42 (step @p11 :rule instantiate :premises (@p1) :args ((@list @t21 @t20 @t24))) % 1.21/1.42 (step @p12 :rule instantiate :premises (@p2) :args ((@list @t16 @t14 @t24))) % 1.21/1.42 (step @p13 :rule cnf_equiv_pos2 :args (@t30)) % 1.21/1.42 (step @p14 :rule reordering :premises (@p13) :args ((or @t29 @t32 @t31))) % 1.21/1.42 (step @p15 :rule cnf_equiv_pos2 :args (@t36)) % 1.21/1.42 (step @p16 :rule reordering :premises (@p15) :args ((or @t35 @t38 @t37))) % 1.21/1.42 (step @p17 :rule cnf_or_pos :args (@t34)) % 1.21/1.42 (step @p18 :rule reordering :premises (@p17) :args ((or @t29 @t33 @t38))) % 1.21/1.42 (step @p19 :rule refl :args (@t23)) % 1.21/1.42 (step @p20 :rule eq-symm :args (@t22 @t18)) % 1.21/1.42 (step @p21 :rule cong :premises (@p20 @p19) :args (@t39)) % 1.21/1.42 (step @p22 :rule refl :args (@t12)) % 1.21/1.42 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t12 @t39))) % 1.21/1.42 (assume-push @p268 @t12) % 1.21/1.42 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t22 @t18))) % 1.21/1.42 (step-pop @p269 :rule scope :premises (@p25)) % 1.21/1.42 (step @p26 :rule process_scope :premises (@p269) :args (@t39)) % 1.21/1.42 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 1.21/1.42 (step @p29 :rule implies_elim :premises (@p28)) % 1.21/1.42 (step @p30 :rule chain_m_resolution :premises (@p29 @p7) :args (@t41 @t42 (@list @t12))) % 1.21/1.42 (step @p31 :rule skolemize :premises (@p8)) % 1.21/1.42 (step @p32 :rule cnf_equiv_pos2 :args (@t41)) % 1.21/1.42 (step @p33 :rule reordering :premises (@p32) :args ((or @t40 @t43 (not @t41)))) % 1.21/1.42 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p30) :args (@t43 @t44 (@list @t40 @t41))) % 1.21/1.42 (step @p35 :rule skolemize :premises (@p34)) % 1.21/1.42 (step @p36 :rule cnf_equiv_neg2 :args (@t46)) % 1.21/1.42 (step @p37 :rule bool-double-not-elim :args (@t50)) % 1.21/1.42 (step @p38 :rule refl :args (@t53)) % 1.21/1.42 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t53 (not @t52)))) % 1.21/1.42 (step @p40 :rule cnf_or_neg :args (@t53 0)) % 1.21/1.42 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 1.21/1.42 (step @p42 :rule reordering :premises (@p41) :args ((or @t50 @t53))) % 1.21/1.42 (step @p43 :rule cnf_or_neg :args (@t53 1)) % 1.21/1.42 (step @p44 :rule instantiate :premises (@p2) :args ((@list @t15 @t14 @t49))) % 1.21/1.42 (step @p45 :rule cnf_equiv_pos1 :args (@t58)) % 1.21/1.42 (step @p46 :rule reordering :premises (@p45) :args ((or @t52 @t57 (not @t58)))) % 1.21/1.42 (step @p47 :rule instantiate :premises (@p2) :args ((@list @t17 @t14 @t49))) % 1.21/1.42 (step @p48 :rule cnf_equiv_pos2 :args (@t61)) % 1.21/1.42 (step @p49 :rule reordering :premises (@p48) :args ((or @t51 (not @t60) (not @t61)))) % 1.21/1.42 (step @p50 :rule cnf_and_pos :args (@t57 1)) % 1.21/1.42 (step @p51 :rule reordering :premises (@p50) :args ((or @t55 @t62))) % 1.21/1.42 (step @p52 :rule bool-double-not-elim :args (@t54)) % 1.21/1.42 (step @p53 :rule refl :args (@t63)) % 1.21/1.42 (step @p54 :rule refl :args (@t60)) % 1.21/1.42 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args ((or @t60 @t63 (not @t55)))) % 1.21/1.42 (step @p56 :rule cnf_and_neg :args (@t60)) % 1.21/1.42 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 1.21/1.42 (step @p58 :rule reordering :premises (@p57) :args ((or @t54 @t60 @t63))) % 1.21/1.42 (step @p59 :rule chain_m_resolution :premises (@p58 @p51 @p49 @p47 @p46 @p44 @p43 @p42) :args ((or @t53 @t63) (@list true true false false false true false) (@list @t54 @t60 @t61 @t57 @t58 @t51 @t50))) % 1.21/1.42 (step @p60 :rule instantiate :premises (@p4) :args ((@list @t16 @t15))) % 1.21/1.42 (assume-push @p270 @t65) % 1.21/1.42 (assume-push @p271 @t66) % 1.21/1.42 (assume-push @p272 @t66) % 1.21/1.42 (assume-push @p273 @t65) % 1.21/1.42 (step @p65 :rule true_intro :premises (@p271)) % 1.21/1.42 (step @p66 :rule refl :args (@t49)) % 1.21/1.42 (step @p67 :rule cong :premises (@p66 @p60) :args (@t59)) % 1.21/1.42 (step @p68 :rule trans :premises (@p67 @p65)) % 1.21/1.42 (step @p69 :rule true_elim :premises (@p68)) % 1.21/1.42 (step-pop @p274 :rule scope :premises (@p69)) % 1.21/1.42 (step-pop @p275 :rule scope :premises (@p274)) % 1.21/1.42 (step @p70 :rule process_scope :premises (@p275) :args (@t59)) % 1.21/1.42 (step @p73 :rule and_intro :premises (@p271 @p60)) % 1.21/1.42 (step @p74 :rule modus_ponens :premises (@p73 @p70)) % 1.21/1.42 (step-pop @p276 :rule scope :premises (@p74)) % 1.21/1.42 (step-pop @p277 :rule scope :premises (@p276)) % 1.21/1.42 (step @p75 :rule process_scope :premises (@p277) :args (@t59)) % 1.21/1.42 (step @p78 :rule implies_elim :premises (@p75)) % 1.21/1.42 (step @p79 :rule cnf_and_neg :args (@t67)) % 1.21/1.42 (step @p80 :rule resolution :premises (@p79 @p78) :args (true @t67)) % 1.21/1.42 (step @p81 :rule reordering :premises (@p80) :args ((or (not @t65) @t59 (not @t66)))) % 1.21/1.42 (step @p82 :rule cnf_and_pos :args (@t57 0)) % 1.21/1.42 (step @p83 :rule reordering :premises (@p82) :args ((or @t56 @t62))) % 1.21/1.42 (step @p84 :rule instantiate :premises (@p1) :args ((@list @t15 @t16 @t49))) % 1.21/1.42 (step @p85 :rule cnf_equiv_pos2 :args (@t69)) % 1.21/1.42 (step @p86 :rule reordering :premises (@p85) :args ((or @t66 (not @t68) (not @t69)))) % 1.21/1.42 (step @p87 :rule cnf_or_neg :args (@t68 0)) % 1.21/1.42 (step @p88 :rule reordering :premises (@p87) :args ((or (not @t56) @t68))) % 1.21/1.42 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p84 @p83 @p81 @p60 @p46 @p44 @p59 @p42) :args (@t53 (@list true false false true false false false true false) (@list @t68 @t69 @t56 @t66 @t65 @t57 @t58 @t59 @t50))) % 1.21/1.42 (step @p90 :rule refl :args (@t70)) % 1.21/1.42 (step @p91 :rule bool-double-not-elim :args (@t48)) % 1.21/1.42 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t71) @t70))) % 1.21/1.42 (assume-push @p278 @t71) % 1.21/1.42 (step @p94 :rule skolemize :premises (@p278)) % 1.21/1.42 (step-pop @p279 :rule scope :premises (@p94)) % 1.21/1.42 (step @p95 :rule process_scope :premises (@p279) :args (@t70)) % 1.21/1.42 (step @p97 :rule implies_elim :premises (@p95)) % 1.21/1.42 (step @p98 :rule eq_resolve :premises (@p97 @p92)) % 1.21/1.42 (step @p99 :rule chain_m_resolution :premises (@p98 @p89) :args (@t48 @t42 (@list @t53))) % 1.21/1.42 (assume-push @p280 @t48) % 1.21/1.42 (step @p101 :rule instantiate :premises (@p280) :args (@t72)) % 1.21/1.42 (step-pop @p281 :rule scope :premises (@p101)) % 1.21/1.42 (step @p102 :rule process_scope :premises (@p281) :args (@t74)) % 1.21/1.42 (step @p104 :rule implies_elim :premises (@p102)) % 1.21/1.42 (step @p105 :rule chain_m_resolution :premises (@p104 @p99) :args (@t74 @t42 @t75)) % 1.21/1.42 (step @p106 :rule cnf_or_pos :args (@t74)) % 1.21/1.42 (step @p107 :rule reordering :premises (@p106) :args ((or @t45 @t73 (not @t74)))) % 1.21/1.42 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p36 @p35 @p18 @p16 @p11) :args ((or @t29 @t38) (@list false true true false false false) (@list @t74 @t45 @t46 @t33 @t35 @t36))) % 1.21/1.42 (step @p109 :rule cnf_or_neg :args (@t34 1)) % 1.21/1.42 (step @p110 :rule cnf_equiv_pos1 :args (@t36)) % 1.21/1.42 (step @p111 :rule reordering :premises (@p110) :args ((or (not @t35) @t34 @t37))) % 1.21/1.42 (step @p112 :rule instantiate :premises (@p2) :args ((@list @t15 @t14 @t24))) % 1.21/1.42 (step @p113 :rule cnf_equiv_pos2 :args (@t78)) % 1.21/1.42 (step @p114 :rule reordering :premises (@p113) :args ((or @t33 (not @t77) (not @t78)))) % 1.21/1.42 (step @p115 :rule cnf_equiv_neg1 :args (@t46)) % 1.21/1.42 (step @p116 :rule reordering :premises (@p115) :args ((or @t35 @t45 @t46))) % 1.21/1.42 (step @p117 :rule cnf_equiv_pos1 :args (@t81)) % 1.21/1.42 (step @p118 :rule reordering :premises (@p117) :args ((or @t83 @t80 @t82))) % 1.21/1.42 (step @p119 :rule cnf_and_pos :args (@t80 1)) % 1.21/1.42 (step @p120 :rule reordering :premises (@p119) :args ((or @t26 @t84))) % 1.21/1.42 (step @p121 :rule bool-double-not-elim :args (@t25)) % 1.21/1.42 (step @p122 :rule refl :args (@t85)) % 1.21/1.42 (step @p123 :rule refl :args (@t28)) % 1.21/1.42 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args ((or @t28 @t85 @t86))) % 1.21/1.42 (step @p125 :rule cnf_and_neg :args (@t28)) % 1.21/1.42 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 1.21/1.42 (step @p127 :rule reordering :premises (@p126) :args ((or @t25 @t28 @t85))) % 1.21/1.42 (step @p128 :rule refl :args (@t87)) % 1.21/1.42 (step @p129 :rule refl :args (@t77)) % 1.21/1.42 (step @p130 :rule nary_cong :premises (@p129 @p128 @p121) :args ((or @t77 @t87 @t86))) % 1.21/1.42 (step @p131 :rule cnf_and_neg :args (@t77)) % 1.21/1.42 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 1.21/1.42 (step @p133 :rule reordering :premises (@p132) :args ((or @t25 @t77 @t87))) % 1.21/1.42 (step @p134 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t24))) % 1.21/1.42 (step @p135 :rule bool-double-not-elim :args (@t91)) % 1.21/1.42 (step @p136 :rule refl :args (@t94)) % 1.21/1.42 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t94 (not @t93)))) % 1.21/1.42 (step @p138 :rule cnf_or_neg :args (@t94 0)) % 1.21/1.42 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 1.21/1.42 (step @p140 :rule reordering :premises (@p139) :args ((or @t91 @t94))) % 1.21/1.42 (step @p141 :rule cnf_or_neg :args (@t94 1)) % 1.21/1.42 (step @p142 :rule instantiate :premises (@p2) :args ((@list @t17 @t14 @t90))) % 1.21/1.42 (step @p143 :rule cnf_equiv_pos1 :args (@t96)) % 1.21/1.42 (step @p144 :rule reordering :premises (@p143) :args ((or @t93 @t95 (not @t96)))) % 1.21/1.42 (step @p145 :rule cnf_and_pos :args (@t95 0)) % 1.21/1.42 (step @p146 :rule reordering :premises (@p145) :args ((or @t92 (not @t95)))) % 1.21/1.42 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p142 @p141 @p140) :args (@t94 @t97 (@list @t95 @t96 @t92 @t91))) % 1.21/1.42 (step @p148 :rule refl :args (@t98)) % 1.21/1.42 (step @p149 :rule bool-double-not-elim :args (@t89)) % 1.21/1.42 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t99) @t98))) % 1.21/1.42 (assume-push @p282 @t99) % 1.21/1.42 (step @p152 :rule skolemize :premises (@p282)) % 1.21/1.42 (step-pop @p283 :rule scope :premises (@p152)) % 1.21/1.42 (step @p153 :rule process_scope :premises (@p283) :args (@t98)) % 1.21/1.42 (step @p155 :rule implies_elim :premises (@p153)) % 1.21/1.42 (step @p156 :rule eq_resolve :premises (@p155 @p150)) % 1.21/1.42 (step @p157 :rule chain_m_resolution :premises (@p156 @p147) :args (@t89 @t42 (@list @t94))) % 1.21/1.42 (assume-push @p284 @t89) % 1.21/1.42 (step @p159 :rule instantiate :premises (@p284) :args (@t72)) % 1.21/1.42 (step-pop @p285 :rule scope :premises (@p159)) % 1.21/1.42 (step @p160 :rule process_scope :premises (@p285) :args (@t100)) % 1.21/1.42 (step @p162 :rule implies_elim :premises (@p160)) % 1.21/1.42 (step @p163 :rule chain_m_resolution :premises (@p162 @p157) :args (@t100 @t42 @t101)) % 1.21/1.42 (step @p164 :rule cnf_or_pos :args (@t100)) % 1.21/1.42 (step @p165 :rule reordering :premises (@p164) :args ((or @t83 @t79 (not @t100)))) % 1.21/1.42 (step @p166 :rule bool-double-not-elim :args (@t104)) % 1.21/1.42 (step @p167 :rule refl :args (@t107)) % 1.21/1.42 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t107 (not @t106)))) % 1.21/1.42 (step @p169 :rule cnf_or_neg :args (@t107 0)) % 1.21/1.42 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 1.21/1.42 (step @p171 :rule reordering :premises (@p170) :args ((or @t104 @t107))) % 1.21/1.42 (step @p172 :rule cnf_or_neg :args (@t107 1)) % 1.21/1.42 (step @p173 :rule cnf_or_neg :args (@t108 0)) % 1.21/1.42 (step @p174 :rule reordering :premises (@p173) :args ((or @t106 @t108))) % 1.21/1.42 (step @p175 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t103))) % 1.21/1.42 (step @p176 :rule cnf_equiv_pos2 :args (@t109)) % 1.21/1.42 (step @p177 :rule reordering :premises (@p176) :args ((or @t105 (not @t108) (not @t109)))) % 1.21/1.42 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p174 @p172 @p171) :args (@t107 @t97 (@list @t109 @t108 @t105 @t104))) % 1.21/1.42 (step @p179 :rule refl :args (@t110)) % 1.21/1.42 (step @p180 :rule bool-double-not-elim :args (@t102)) % 1.21/1.42 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t111) @t110))) % 1.21/1.42 (assume-push @p286 @t111) % 1.21/1.42 (step @p183 :rule skolemize :premises (@p286)) % 1.21/1.42 (step-pop @p287 :rule scope :premises (@p183)) % 1.21/1.42 (step @p184 :rule process_scope :premises (@p287) :args (@t110)) % 1.21/1.42 (step @p186 :rule implies_elim :premises (@p184)) % 1.21/1.42 (step @p187 :rule eq_resolve :premises (@p186 @p181)) % 1.21/1.42 (step @p188 :rule chain_m_resolution :premises (@p187 @p178) :args (@t102 @t42 (@list @t107))) % 1.21/1.42 (assume-push @p288 @t102) % 1.21/1.42 (step @p190 :rule instantiate :premises (@p288) :args (@t72)) % 1.21/1.42 (step-pop @p289 :rule scope :premises (@p190)) % 1.21/1.42 (step @p191 :rule process_scope :premises (@p289) :args (@t112)) % 1.21/1.42 (step @p193 :rule implies_elim :premises (@p191)) % 1.21/1.42 (step @p194 :rule chain_m_resolution :premises (@p193 @p188) :args (@t112 @t42 (@list @t102))) % 1.21/1.42 (step @p195 :rule cnf_or_pos :args (@t112)) % 1.21/1.42 (step @p196 :rule reordering :premises (@p195) :args ((or @t79 @t85 (not @t112)))) % 1.21/1.42 (step @p197 :rule bool-double-not-elim :args (@t115)) % 1.21/1.42 (step @p198 :rule refl :args (@t118)) % 1.21/1.42 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t118 (not @t117)))) % 1.21/1.42 (step @p200 :rule cnf_or_neg :args (@t118 0)) % 1.21/1.42 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 1.21/1.42 (step @p202 :rule reordering :premises (@p201) :args ((or @t115 @t118))) % 1.21/1.42 (step @p203 :rule cnf_or_neg :args (@t118 1)) % 1.21/1.42 (assume-push @p290 @t48) % 1.21/1.42 (step @p205 :rule instantiate :premises (@p290) :args (@t119)) % 1.21/1.42 (step-pop @p291 :rule scope :premises (@p205)) % 1.21/1.42 (step @p206 :rule process_scope :premises (@p291) :args (@t121)) % 1.21/1.42 (step @p208 :rule implies_elim :premises (@p206)) % 1.21/1.42 (step @p209 :rule chain_m_resolution :premises (@p208 @p99) :args (@t121 @t42 @t75)) % 1.21/1.42 (step @p210 :rule cnf_or_pos :args (@t121)) % 1.21/1.42 (step @p211 :rule reordering :premises (@p210) :args ((or @t117 @t120 (not @t121)))) % 1.21/1.42 (assume-push @p292 @t89) % 1.21/1.42 (step @p213 :rule instantiate :premises (@p292) :args (@t119)) % 1.21/1.42 (step-pop @p293 :rule scope :premises (@p213)) % 1.21/1.42 (step @p214 :rule process_scope :premises (@p293) :args (@t123)) % 1.21/1.42 (step @p216 :rule implies_elim :premises (@p214)) % 1.21/1.42 (step @p217 :rule chain_m_resolution :premises (@p216 @p157) :args (@t123 @t42 @t101)) % 1.21/1.42 (step @p218 :rule cnf_or_pos :args (@t123)) % 1.21/1.42 (step @p219 :rule reordering :premises (@p218) :args ((or @t116 @t122 (not @t123)))) % 1.21/1.42 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p211 @p209 @p203 @p202) :args (@t118 (@list false false false true false) (@list @t123 @t120 @t121 @t116 @t115))) % 1.21/1.42 (step @p221 :rule refl :args (@t124)) % 1.21/1.42 (step @p222 :rule bool-double-not-elim :args (@t113)) % 1.21/1.42 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or (not @t125) @t124))) % 1.21/1.42 (assume-push @p294 @t125) % 1.21/1.42 (step @p225 :rule skolemize :premises (@p294)) % 1.21/1.42 (step-pop @p295 :rule scope :premises (@p225)) % 1.21/1.42 (step @p226 :rule process_scope :premises (@p295) :args (@t124)) % 1.21/1.42 (step @p228 :rule implies_elim :premises (@p226)) % 1.21/1.42 (step @p229 :rule eq_resolve :premises (@p228 @p223)) % 1.21/1.42 (step @p230 :rule chain_m_resolution :premises (@p229 @p220) :args (@t113 @t42 (@list @t118))) % 1.21/1.42 (assume-push @p296 @t113) % 1.21/1.42 (step @p232 :rule instantiate :premises (@p296) :args (@t72)) % 1.21/1.42 (step-pop @p297 :rule scope :premises (@p232)) % 1.21/1.42 (step @p233 :rule process_scope :premises (@p297) :args (@t126)) % 1.21/1.42 (step @p235 :rule implies_elim :premises (@p233)) % 1.21/1.42 (step @p236 :rule chain_m_resolution :premises (@p235 @p230) :args (@t126 @t42 (@list @t113))) % 1.21/1.42 (step @p237 :rule cnf_or_pos :args (@t126)) % 1.21/1.42 (step @p238 :rule reordering :premises (@p237) :args ((or @t79 @t73 (not @t126)))) % 1.21/1.42 (step @p239 :rule cnf_and_pos :args (@t28 0)) % 1.21/1.42 (step @p240 :rule reordering :premises (@p239) :args ((or @t27 @t32))) % 1.21/1.42 (step @p241 :rule cnf_equiv_pos1 :args (@t30)) % 1.21/1.42 (step @p242 :rule reordering :premises (@p241) :args ((or (not @t29) @t28 @t31))) % 1.21/1.42 (step @p243 :rule chain_m_resolution :premises (@p18 @p242 @p12 @p111 @p11 @p240 @p116 @p35 @p238 @p236 @p196 @p194 @p165 @p163) :args (@t79 (@list true false false false true false true true false true false true false) (@list @t29 @t30 @t34 @t36 @t28 @t35 @t46 @t33 @t126 @t27 @t112 @t45 @t100))) % 1.21/1.42 (step @p244 :rule cnf_equiv_pos1 :args (@t128)) % 1.21/1.42 (step @p245 :rule reordering :premises (@p244) :args ((or @t129 @t127 (not @t128)))) % 1.21/1.42 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p134) :args (@t127 @t130 (@list @t79 @t128))) % 1.21/1.42 (step @p247 :rule cnf_or_pos :args (@t127)) % 1.21/1.42 (step @p248 :rule reordering :premises (@p247) :args ((or @t27 @t76 (not @t127)))) % 1.21/1.42 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p133 @p127 @p120 @p118 @p10 @p116 @p35 @p114 @p112 @p111 @p11 @p109 @p108 @p14 @p12) :args (@t29 (@list false true true true false false false true true false true false true true true false) (@list @t127 @t76 @t27 @t25 @t80 @t81 @t45 @t46 @t77 @t78 @t35 @t36 @t33 @t34 @t28 @t30))) % 1.21/1.42 (step @p250 :rule cnf_or_neg :args (@t34 0)) % 1.21/1.42 (step @p251 :rule chain_m_resolution :premises (@p250 @p249) :args (@t34 @t42 (@list @t29))) % 1.21/1.42 (step @p252 :rule chain_m_resolution :premises (@p16 @p251 @p11) :args (@t35 @t130 (@list @t34 @t36))) % 1.21/1.42 (step @p253 :rule chain_m_resolution :premises (@p36 @p35 @p252) :args (@t83 @t44 (@list @t46 @t35))) % 1.21/1.42 (step @p254 :rule chain_m_resolution :premises (@p242 @p249 @p12) :args (@t28 @t130 (@list @t29 @t30))) % 1.21/1.42 (step @p255 :rule cnf_and_pos :args (@t28 1)) % 1.21/1.42 (step @p256 :rule reordering :premises (@p255) :args ((or @t26 @t32))) % 1.21/1.42 (step @p257 :rule chain_m_resolution :premises (@p256 @p254) :args (@t26 @t42 (@list @t28))) % 1.21/1.42 (step @p258 :rule refl :args (@t129)) % 1.21/1.42 (step @p259 :rule refl :args (@t80)) % 1.21/1.42 (step @p260 :rule nary_cong :premises (@p259 @p258 @p121) :args ((or @t80 @t129 @t86))) % 1.21/1.42 (step @p261 :rule cnf_and_neg :args (@t80)) % 1.21/1.42 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 1.21/1.42 (step @p263 :rule reordering :premises (@p262) :args ((or @t25 @t80 @t129))) % 1.21/1.42 (step @p264 :rule chain_m_resolution :premises (@p263 @p257 @p243) :args (@t80 @t44 (@list @t25 @t79))) % 1.21/1.42 (step @p265 :rule cnf_equiv_pos2 :args (@t81)) % 1.21/1.42 (step @p266 :rule reordering :premises (@p265) :args ((or @t45 @t84 @t82))) % 1.21/1.42 (step @p267 false :rule chain_m_resolution :premises (@p266 @p264 @p253 @p10) :args (false (@list false true false) (@list @t80 @t45 @t81))) % 1.21/1.42 ) % 1.21/1.42 % SZS output end Proof % 1.21/1.42 % cvc5 exiting %------------------------------------------------------------------------------