%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET697+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 : n014.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 08:48:27 AM UTC 2026 % Result : Theorem 0.36s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET697+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 % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:07:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.63 % SZS status Theorem % 0.36/0.63 % SZS output start Proof % 0.36/0.63 ( % 0.36/0.63 (declare-sort $$unsorted 0) % 0.36/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.empty_set $$unsorted) % 0.36/0.63 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.63 (define @t3 () (tptp.member @t2 @t1)) % 0.45/0.63 (define @t4 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t5 () (tptp.member @t2 @t4)) % 0.45/0.63 (define @t6 () (@list @t2)) % 0.45/0.63 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.45/0.63 (define @t8 () (tptp.subset @t4 @t1)) % 0.45/0.63 (define @t9 () (= @t8 @t7)) % 0.45/0.63 (define @t10 () (@list @t4 @t1)) % 0.45/0.63 (define @t11 () (forall @t10 @t9)) % 0.45/0.63 (define @t12 () (@list @t2 @t4)) % 0.45/0.63 (define @t13 () (@list @t2 @t4 @t1)) % 0.45/0.63 (define @t14 () (tptp.member @t2 tptp.empty_set)) % 0.45/0.63 (define @t15 () (not @t14)) % 0.45/0.63 (define @t16 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t17 () (= @t2 @t4)) % 0.45/0.63 (define @t18 () (@var "Y" $$unsorted)) % 0.45/0.63 (define @t19 () (tptp.member @t2 @t18)) % 0.45/0.63 (define @t20 () (tptp.member @t18 @t4)) % 0.45/0.63 (define @t21 () (@list @t18)) % 0.45/0.63 (define @t22 () (= @t8 (tptp.equal_set (tptp.intersection @t4 (tptp.difference @t16 @t1)) tptp.empty_set))) % 0.45/0.63 (define @t23 () (tptp.subset @t1 @t16)) % 0.45/0.63 (define @t24 () (tptp.subset @t4 @t16)) % 0.45/0.63 (define @t25 () (and @t24 @t23)) % 0.45/0.63 (define @t26 () (@list @t4 @t1 @t16)) % 0.45/0.63 (define @t27 () (forall @t26 (=> @t25 @t22))) % 0.45/0.63 (define @t28 () (not @t27)) % 0.45/0.63 (define @t29 () (not @t23)) % 0.45/0.63 (define @t30 () (not @t24)) % 0.45/0.63 (define @t31 () (or @t30 @t29 @t22)) % 0.45/0.63 (define @t32 () (forall @t26 @t31)) % 0.45/0.63 (define @t33 () (@quantifiers_skolemize @t32 1)) % 0.45/0.63 (define @t34 () (@quantifiers_skolemize @t32 0)) % 0.45/0.63 (define @t35 () (@quantifiers_skolemize @t32 2)) % 0.45/0.63 (define @t36 () (tptp.difference @t35 @t33)) % 0.45/0.63 (define @t37 () (tptp.intersection @t34 @t36)) % 0.45/0.63 (define @t38 () (tptp.equal_set @t37 tptp.empty_set)) % 0.45/0.63 (define @t39 () (tptp.subset @t34 @t33)) % 0.45/0.63 (define @t40 () (= @t39 @t38)) % 0.45/0.63 (define @t41 () (tptp.subset @t34 @t35)) % 0.45/0.63 (define @t42 () (not @t41)) % 0.45/0.63 (define @t43 () (or @t42 (not (tptp.subset @t33 @t35)) @t40)) % 0.45/0.63 (define @t44 () (@list true)) % 0.45/0.63 (define @t45 () (@list @t43)) % 0.45/0.63 (define @t46 () (@list @t37 tptp.empty_set)) % 0.45/0.63 (define @t47 () (tptp.member @t2 @t37)) % 0.45/0.63 (define @t48 () (forall @t6 (or (not @t47) @t14))) % 0.45/0.63 (define @t49 () (tptp.subset @t37 tptp.empty_set)) % 0.45/0.63 (define @t50 () (= @t49 @t48)) % 0.45/0.63 (define @t51 () (not @t50)) % 0.45/0.63 (define @t52 () (not @t48)) % 0.45/0.63 (define @t53 () (not (tptp.member @t2 @t34))) % 0.45/0.63 (define @t54 () (forall @t6 (or @t53 (tptp.member @t2 @t33)))) % 0.45/0.63 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.45/0.63 (define @t56 () (@list @t55)) % 0.45/0.63 (define @t57 () (tptp.member @t55 tptp.empty_set)) % 0.45/0.63 (define @t58 () (tptp.member @t55 @t37)) % 0.45/0.63 (define @t59 () (not @t58)) % 0.45/0.63 (define @t60 () (or @t59 @t57)) % 0.45/0.63 (define @t61 () (forall @t6 (or @t15 @t47))) % 0.45/0.63 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.45/0.63 (define @t63 () (tptp.member @t62 tptp.empty_set)) % 0.45/0.63 (define @t64 () (not @t63)) % 0.45/0.63 (define @t65 () (or @t64 (tptp.member @t62 @t37))) % 0.45/0.63 (define @t66 () (not @t65)) % 0.45/0.63 (define @t67 () (not @t61)) % 0.45/0.63 (define @t68 () (@list false)) % 0.45/0.63 (define @t69 () (tptp.subset tptp.empty_set @t37)) % 0.45/0.63 (define @t70 () (= @t69 @t61)) % 0.45/0.63 (define @t71 () (@list false false)) % 0.45/0.63 (define @t72 () (and @t49 @t69)) % 0.45/0.63 (define @t73 () (= @t38 @t72)) % 0.45/0.63 (define @t74 () (not @t73)) % 0.45/0.63 (define @t75 () (not @t72)) % 0.45/0.63 (define @t76 () (tptp.member @t55 @t36)) % 0.45/0.63 (define @t77 () (tptp.member @t55 @t34)) % 0.45/0.63 (define @t78 () (and @t77 @t76)) % 0.45/0.63 (define @t79 () (= @t58 @t78)) % 0.45/0.63 (define @t80 () (= @t39 @t54)) % 0.45/0.63 (define @t81 () (not @t80)) % 0.45/0.63 (define @t82 () (not @t54)) % 0.45/0.63 (define @t83 () (tptp.member @t55 @t33)) % 0.45/0.63 (define @t84 () (not @t77)) % 0.45/0.63 (define @t85 () (or @t84 @t83)) % 0.45/0.63 (define @t86 () (not @t85)) % 0.45/0.63 (define @t87 () (forall @t6 (or @t53 (tptp.member @t2 @t35)))) % 0.45/0.63 (define @t88 () (= @t41 @t87)) % 0.45/0.63 (define @t89 () (tptp.member @t55 @t35)) % 0.45/0.63 (define @t90 () (or @t84 @t89)) % 0.45/0.63 (define @t91 () (not @t89)) % 0.45/0.63 (define @t92 () (not @t83)) % 0.45/0.63 (define @t93 () (and @t89 @t92)) % 0.45/0.63 (define @t94 () (= @t76 @t93)) % 0.45/0.63 (define @t95 () (not @t49)) % 0.45/0.63 (define @t96 () (@list true false)) % 0.45/0.63 (define @t97 () (not @t38)) % 0.45/0.63 (define @t98 () (@quantifiers_skolemize @t48 0)) % 0.45/0.63 (define @t99 () (tptp.member @t98 @t37)) % 0.45/0.63 (define @t100 () (not @t99)) % 0.45/0.63 (define @t101 () (or @t100 (tptp.member @t98 tptp.empty_set))) % 0.45/0.63 (define @t102 () (not @t101)) % 0.45/0.63 (define @t103 () (tptp.member @t98 @t36)) % 0.45/0.63 (define @t104 () (tptp.member @t98 @t34)) % 0.45/0.63 (define @t105 () (and @t104 @t103)) % 0.45/0.63 (define @t106 () (= @t99 @t105)) % 0.45/0.63 (define @t107 () (not @t105)) % 0.45/0.63 (define @t108 () (@list @t105)) % 0.45/0.63 (define @t109 () (tptp.member @t98 @t33)) % 0.45/0.63 (define @t110 () (not @t109)) % 0.45/0.63 (define @t111 () (and (tptp.member @t98 @t35) @t110)) % 0.45/0.63 (define @t112 () (= @t103 @t111)) % 0.45/0.63 (define @t113 () (not @t104)) % 0.45/0.63 (define @t114 () (or @t113 @t109)) % 0.45/0.63 (define @t115 () (not @t114)) % 0.45/0.63 (assume @p1 @t11) % 0.45/0.63 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.45/0.63 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.45/0.63 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.45/0.63 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.45/0.63 (assume @p6 (forall @t6 @t15)) % 0.45/0.63 (assume @p7 (forall (@list @t1 @t4 @t16) (= (tptp.member @t1 (tptp.difference @t16 @t4)) (and (tptp.member @t1 @t16) (not (tptp.member @t1 @t4)))))) % 0.45/0.63 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t17))) % 0.45/0.63 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t17 (= @t2 @t1))))) % 0.45/0.63 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t21 (and @t20 @t19))))) % 0.45/0.63 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t20 @t19))))) % 0.45/0.63 (assume @p12 @t28) % 0.45/0.63 (assume @p13 true) % 0.45/0.63 (step @p14 :rule bool-impl-elim :args (@t5 @t3)) % 0.45/0.63 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.45/0.63 (step @p16 :rule refl :args (@t8)) % 0.45/0.63 (step @p17 :rule cong :premises (@p16 @p15) :args (@t9)) % 0.45/0.63 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.45/0.63 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.45/0.63 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t34 @t33))) % 0.45/0.63 (step @p21 :rule aci_norm :args ((= (or (or @t30 @t29) @t22) @t31))) % 0.45/0.63 (step @p22 :rule refl :args (@t22)) % 0.45/0.63 (step @p23 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.45/0.63 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t25) @t22))) % 0.45/0.63 (step @p25 :rule trans :premises (@p24 @p21)) % 0.45/0.63 (step @p26 :rule bool-impl-elim :args (@t25 @t22)) % 0.45/0.63 (step @p27 :rule trans :premises (@p26 @p25)) % 0.45/0.63 (step @p28 :rule cong :premises (@p27) :args (@t27)) % 0.45/0.63 (step @p29 :rule cong :premises (@p28) :args (@t28)) % 0.45/0.63 (step @p30 :rule eq_resolve :premises (@p12 @p29)) % 0.45/0.63 (step @p31 :rule skolemize :premises (@p30)) % 0.45/0.63 (step @p32 :rule cnf_or_neg :args (@t43 2)) % 0.45/0.63 (step @p33 :rule chain_m_resolution :premises (@p32 @p31) :args ((not @t40) @t44 @t45)) % 0.45/0.63 (step @p34 :rule instantiate :premises (@p2) :args (@t46)) % 0.45/0.63 (step @p35 :rule instantiate :premises (@p19) :args (@t46)) % 0.45/0.63 (step @p36 :rule cnf_equiv_pos2 :args (@t50)) % 0.45/0.63 (step @p37 :rule reordering :premises (@p36) :args ((or @t49 @t52 @t51))) % 0.45/0.63 (assume-push @p178 @t48) % 0.45/0.63 (step @p39 :rule instantiate :premises (@p178) :args (@t56)) % 0.45/0.63 (step-pop @p179 :rule scope :premises (@p39)) % 0.45/0.63 (step @p40 :rule process_scope :premises (@p179) :args (@t60)) % 0.45/0.63 (step @p42 :rule implies_elim :premises (@p40)) % 0.45/0.63 (step @p43 :rule instantiate :premises (@p19) :args ((@list tptp.empty_set @t37))) % 0.45/0.63 (step @p44 :rule instantiate :premises (@p6) :args ((@list @t62))) % 0.45/0.63 (step @p45 :rule bool-double-not-elim :args (@t63)) % 0.45/0.63 (step @p46 :rule refl :args (@t65)) % 0.45/0.63 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t65 (not @t64)))) % 0.45/0.63 (step @p48 :rule cnf_or_neg :args (@t65 0)) % 0.45/0.63 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.45/0.63 (step @p50 :rule reordering :premises (@p49) :args ((or @t63 @t65))) % 0.45/0.63 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t65 @t44 (@list @t63))) % 0.45/0.63 (step @p52 :rule refl :args (@t66)) % 0.45/0.63 (step @p53 :rule bool-double-not-elim :args (@t61)) % 0.45/0.63 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t67) @t66))) % 0.45/0.63 (assume-push @p180 @t67) % 0.45/0.63 (step @p56 :rule skolemize :premises (@p180)) % 0.45/0.63 (step-pop @p181 :rule scope :premises (@p56)) % 0.45/0.63 (step @p57 :rule process_scope :premises (@p181) :args (@t66)) % 0.45/0.63 (step @p59 :rule implies_elim :premises (@p57)) % 0.45/0.63 (step @p60 :rule eq_resolve :premises (@p59 @p54)) % 0.45/0.63 (step @p61 :rule chain_m_resolution :premises (@p60 @p51) :args (@t61 @t68 (@list @t65))) % 0.45/0.63 (step @p62 :rule cnf_equiv_pos2 :args (@t70)) % 0.45/0.63 (step @p63 :rule reordering :premises (@p62) :args ((or @t69 @t67 (not @t70)))) % 0.45/0.63 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p43) :args (@t69 @t71 (@list @t61 @t70))) % 0.45/0.63 (step @p65 :rule cnf_and_neg :args (@t72)) % 0.45/0.63 (step @p66 :rule instantiate :premises (@p6) :args (@t56)) % 0.45/0.63 (step @p67 :rule cnf_or_pos :args (@t60)) % 0.45/0.63 (step @p68 :rule reordering :premises (@p67) :args ((or @t57 @t59 (not @t60)))) % 0.45/0.63 (step @p69 :rule cnf_equiv_pos2 :args (@t73)) % 0.45/0.63 (step @p70 :rule reordering :premises (@p69) :args ((or @t38 @t75 @t74))) % 0.45/0.63 (step @p71 :rule instantiate :premises (@p4) :args ((@list @t55 @t34 @t36))) % 0.45/0.63 (step @p72 :rule cnf_equiv_pos2 :args (@t79)) % 0.45/0.63 (step @p73 :rule reordering :premises (@p72) :args ((or @t58 (not @t78) (not @t79)))) % 0.45/0.63 (step @p74 :rule cnf_equiv_neg2 :args (@t40)) % 0.45/0.63 (step @p75 :rule cnf_equiv_pos2 :args (@t80)) % 0.45/0.63 (step @p76 :rule reordering :premises (@p75) :args ((or @t39 @t82 @t81))) % 0.45/0.63 (step @p77 :rule refl :args (@t86)) % 0.45/0.63 (step @p78 :rule bool-double-not-elim :args (@t54)) % 0.45/0.63 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t82) @t86))) % 0.45/0.63 (assume-push @p182 @t82) % 0.45/0.63 (step @p81 :rule skolemize :premises (@p182)) % 0.45/0.63 (step-pop @p183 :rule scope :premises (@p81)) % 0.45/0.63 (step @p82 :rule process_scope :premises (@p183) :args (@t86)) % 0.45/0.63 (step @p84 :rule implies_elim :premises (@p82)) % 0.45/0.63 (step @p85 :rule eq_resolve :premises (@p84 @p79)) % 0.45/0.63 (step @p86 :rule bool-double-not-elim :args (@t77)) % 0.45/0.63 (step @p87 :rule refl :args (@t85)) % 0.45/0.63 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t85 (not @t84)))) % 0.45/0.63 (step @p89 :rule cnf_or_neg :args (@t85 0)) % 0.45/0.63 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.45/0.63 (step @p91 :rule reordering :premises (@p90) :args ((or @t77 @t85))) % 0.45/0.63 (step @p92 :rule cnf_or_neg :args (@t85 1)) % 0.45/0.63 (step @p93 :rule instantiate :premises (@p19) :args ((@list @t34 @t35))) % 0.45/0.63 (step @p94 :rule bool-double-not-elim :args (@t41)) % 0.45/0.63 (step @p95 :rule refl :args (@t43)) % 0.45/0.63 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t43 (not @t42)))) % 0.45/0.63 (step @p97 :rule cnf_or_neg :args (@t43 0)) % 0.45/0.63 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.45/0.63 (step @p99 :rule reordering :premises (@p98) :args ((or @t41 @t43))) % 0.45/0.63 (step @p100 :rule chain_m_resolution :premises (@p99 @p31) :args (@t41 @t44 @t45)) % 0.45/0.63 (step @p101 :rule cnf_equiv_pos1 :args (@t88)) % 0.45/0.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t42 @t87 (not @t88)))) % 0.45/0.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p93) :args (@t87 @t71 (@list @t41 @t88))) % 0.45/0.63 (step @p104 :rule instantiate :premises (@p103) :args (@t56)) % 0.45/0.63 (step @p105 :rule cnf_or_pos :args (@t90)) % 0.45/0.63 (step @p106 :rule reordering :premises (@p105) :args ((or @t84 @t89 (not @t90)))) % 0.45/0.63 (step @p107 :rule cnf_and_neg :args (@t78)) % 0.45/0.63 (step @p108 :rule reordering :premises (@p107) :args ((or @t84 @t78 (not @t76)))) % 0.45/0.63 (step @p109 :rule bool-double-not-elim :args (@t83)) % 0.45/0.63 (step @p110 :rule refl :args (@t91)) % 0.45/0.63 (step @p111 :rule refl :args (@t93)) % 0.45/0.63 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args ((or @t93 @t91 (not @t92)))) % 0.45/0.63 (step @p113 :rule cnf_and_neg :args (@t93)) % 0.45/0.63 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.45/0.63 (step @p115 :rule reordering :premises (@p114) :args ((or @t83 @t91 @t93))) % 0.45/0.63 (step @p116 :rule instantiate :premises (@p7) :args ((@list @t55 @t33 @t35))) % 0.45/0.63 (step @p117 :rule cnf_equiv_pos2 :args (@t94)) % 0.45/0.63 (step @p118 :rule reordering :premises (@p117) :args ((or @t76 (not @t93) (not @t94)))) % 0.45/0.63 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p115 @p108 @p106 @p104 @p92 @p91 @p85 @p76 @p20 @p74 @p33 @p73 @p71 @p70 @p34 @p68 @p66 @p65 @p64 @p42 @p37 @p35) :args (@t52 (@list false false true false false true false true true false true true true false false false true true false false false false false) (@list @t94 @t93 @t76 @t89 @t90 @t83 @t77 @t85 @t54 @t80 @t39 @t40 @t78 @t79 @t38 @t73 @t58 @t57 @t72 @t69 @t60 @t49 @t50))) % 0.45/0.63 (step @p120 :rule cnf_equiv_pos1 :args (@t50)) % 0.45/0.63 (step @p121 :rule reordering :premises (@p120) :args ((or @t95 @t48 @t51))) % 0.45/0.63 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p35) :args (@t95 @t96 (@list @t48 @t50))) % 0.45/0.63 (step @p123 :rule cnf_and_pos :args (@t72 0)) % 0.45/0.63 (step @p124 :rule reordering :premises (@p123) :args ((or @t49 @t75))) % 0.45/0.63 (step @p125 :rule chain_m_resolution :premises (@p124 @p122) :args (@t75 @t44 (@list @t49))) % 0.45/0.63 (step @p126 :rule cnf_equiv_pos1 :args (@t73)) % 0.45/0.63 (step @p127 :rule reordering :premises (@p126) :args ((or @t97 @t72 @t74))) % 0.45/0.63 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p34) :args (@t97 @t96 (@list @t72 @t73))) % 0.45/0.63 (step @p129 :rule cnf_equiv_neg1 :args (@t40)) % 0.45/0.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t39 @t38 @t40))) % 0.45/0.63 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p33) :args (@t39 (@list true true) (@list @t38 @t40))) % 0.45/0.63 (step @p132 :rule cnf_equiv_pos1 :args (@t80)) % 0.45/0.63 (step @p133 :rule reordering :premises (@p132) :args ((or (not @t39) @t54 @t81))) % 0.45/0.63 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p20) :args (@t54 @t71 (@list @t39 @t80))) % 0.45/0.63 (step @p135 :rule instantiate :premises (@p7) :args ((@list @t98 @t33 @t35))) % 0.45/0.63 (step @p136 :rule instantiate :premises (@p4) :args ((@list @t98 @t34 @t36))) % 0.45/0.63 (step @p137 :rule refl :args (@t102)) % 0.45/0.63 (step @p138 :rule bool-double-not-elim :args (@t48)) % 0.45/0.63 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t52) @t102))) % 0.45/0.63 (assume-push @p184 @t52) % 0.45/0.63 (step @p141 :rule skolemize :premises (@p184)) % 0.45/0.63 (step-pop @p185 :rule scope :premises (@p141)) % 0.45/0.63 (step @p142 :rule process_scope :premises (@p185) :args (@t102)) % 0.45/0.63 (step @p144 :rule implies_elim :premises (@p142)) % 0.45/0.63 (step @p145 :rule eq_resolve :premises (@p144 @p139)) % 0.45/0.63 (step @p146 :rule chain_m_resolution :premises (@p145 @p119) :args (@t102 @t44 (@list @t48))) % 0.45/0.63 (step @p147 :rule bool-double-not-elim :args (@t99)) % 0.45/0.63 (step @p148 :rule refl :args (@t101)) % 0.45/0.63 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t101 (not @t100)))) % 0.45/0.63 (step @p150 :rule cnf_or_neg :args (@t101 0)) % 0.45/0.63 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.45/0.63 (step @p152 :rule reordering :premises (@p151) :args ((or @t99 @t101))) % 0.45/0.63 (step @p153 :rule chain_m_resolution :premises (@p152 @p146) :args (@t99 @t44 (@list @t101))) % 0.45/0.63 (step @p154 :rule cnf_equiv_pos1 :args (@t106)) % 0.45/0.63 (step @p155 :rule reordering :premises (@p154) :args ((or @t100 @t105 (not @t106)))) % 0.45/0.63 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p136) :args (@t105 @t71 (@list @t99 @t106))) % 0.45/0.63 (step @p157 :rule cnf_and_pos :args (@t105 1)) % 0.45/0.63 (step @p158 :rule reordering :premises (@p157) :args ((or @t103 @t107))) % 0.45/0.63 (step @p159 :rule chain_m_resolution :premises (@p158 @p156) :args (@t103 @t68 @t108)) % 0.45/0.63 (step @p160 :rule cnf_equiv_pos1 :args (@t112)) % 0.45/0.63 (step @p161 :rule reordering :premises (@p160) :args ((or (not @t103) @t111 (not @t112)))) % 0.45/0.63 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p135) :args (@t111 @t71 (@list @t103 @t112))) % 0.45/0.63 (step @p163 :rule cnf_and_pos :args (@t111 1)) % 0.45/0.63 (step @p164 :rule reordering :premises (@p163) :args ((or @t110 (not @t111)))) % 0.45/0.63 (step @p165 :rule chain_m_resolution :premises (@p164 @p162) :args (@t110 @t68 (@list @t111))) % 0.45/0.63 (step @p166 :rule cnf_and_pos :args (@t105 0)) % 0.45/0.63 (step @p167 :rule reordering :premises (@p166) :args ((or @t104 @t107))) % 0.45/0.63 (step @p168 :rule chain_m_resolution :premises (@p167 @p156) :args (@t104 @t68 @t108)) % 0.45/0.63 (step @p169 :rule cnf_or_pos :args (@t114)) % 0.45/0.63 (step @p170 :rule reordering :premises (@p169) :args ((or @t113 @t109 @t115))) % 0.45/0.63 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p165) :args (@t115 (@list false true) (@list @t104 @t109))) % 0.45/0.63 (assume-push @p186 @t54) % 0.45/0.63 (step @p173 :rule instantiate :premises (@p186) :args ((@list @t98))) % 0.45/0.63 (step-pop @p187 :rule scope :premises (@p173)) % 0.45/0.63 (step @p174 :rule process_scope :premises (@p187) :args (@t114)) % 0.45/0.63 (step @p176 :rule implies_elim :premises (@p174)) % 0.45/0.63 (step @p177 false :rule chain_m_resolution :premises (@p176 @p171 @p134) :args (false @t96 (@list @t114 @t54))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------