%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET695+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 : n013.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 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET695+4 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 16:07:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort $$unsorted 0) % 0.45/0.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.empty_set $$unsorted) % 0.45/0.68 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.68 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.68 (define @t3 () (tptp.member @t2 @t1)) % 0.45/0.68 (define @t4 () (@var "A" $$unsorted)) % 0.45/0.68 (define @t5 () (tptp.member @t2 @t4)) % 0.45/0.68 (define @t6 () (@list @t2)) % 0.45/0.68 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.45/0.68 (define @t8 () (tptp.subset @t4 @t1)) % 0.45/0.68 (define @t9 () (= @t8 @t7)) % 0.45/0.68 (define @t10 () (@list @t4 @t1)) % 0.45/0.68 (define @t11 () (forall @t10 @t9)) % 0.45/0.68 (define @t12 () (@list @t2 @t4)) % 0.45/0.68 (define @t13 () (@list @t2 @t4 @t1)) % 0.45/0.68 (define @t14 () (@var "E" $$unsorted)) % 0.45/0.68 (define @t15 () (tptp.difference @t14 @t4)) % 0.45/0.68 (define @t16 () (= @t2 @t4)) % 0.45/0.68 (define @t17 () (@var "Y" $$unsorted)) % 0.45/0.68 (define @t18 () (tptp.member @t2 @t17)) % 0.45/0.68 (define @t19 () (tptp.member @t17 @t4)) % 0.45/0.68 (define @t20 () (@list @t17)) % 0.45/0.68 (define @t21 () (= @t8 (tptp.subset (tptp.difference @t14 @t1) @t15))) % 0.45/0.68 (define @t22 () (tptp.subset @t1 @t14)) % 0.45/0.68 (define @t23 () (tptp.subset @t4 @t14)) % 0.45/0.68 (define @t24 () (and @t23 @t22)) % 0.45/0.68 (define @t25 () (@list @t4 @t1 @t14)) % 0.45/0.68 (define @t26 () (forall @t25 (=> @t24 @t21))) % 0.45/0.68 (define @t27 () (not @t26)) % 0.45/0.68 (define @t28 () (not @t22)) % 0.45/0.68 (define @t29 () (not @t23)) % 0.45/0.68 (define @t30 () (or @t29 @t28 @t21)) % 0.45/0.68 (define @t31 () (forall @t25 @t30)) % 0.45/0.68 (define @t32 () (@quantifiers_skolemize @t31 2)) % 0.45/0.68 (define @t33 () (@quantifiers_skolemize @t31 0)) % 0.45/0.68 (define @t34 () (tptp.difference @t32 @t33)) % 0.45/0.68 (define @t35 () (@quantifiers_skolemize @t31 1)) % 0.45/0.68 (define @t36 () (tptp.difference @t32 @t35)) % 0.45/0.68 (define @t37 () (forall @t6 (or (not (tptp.member @t2 @t36)) (tptp.member @t2 @t34)))) % 0.45/0.68 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.45/0.68 (define @t39 () (tptp.subset @t36 @t34)) % 0.45/0.68 (define @t40 () (= @t39 @t37)) % 0.45/0.68 (define @t41 () (not @t40)) % 0.45/0.68 (define @t42 () (not @t37)) % 0.45/0.68 (define @t43 () (not (tptp.member @t2 @t33))) % 0.45/0.68 (define @t44 () (forall @t6 (or @t43 (tptp.member @t2 @t35)))) % 0.45/0.68 (define @t45 () (@quantifiers_skolemize @t44 0)) % 0.45/0.68 (define @t46 () (@list @t45)) % 0.45/0.68 (define @t47 () (tptp.member @t45 @t34)) % 0.45/0.68 (define @t48 () (tptp.member @t45 @t36)) % 0.45/0.68 (define @t49 () (not @t48)) % 0.45/0.68 (define @t50 () (or @t49 @t47)) % 0.45/0.68 (define @t51 () (tptp.subset @t33 @t35)) % 0.45/0.68 (define @t52 () (= @t51 @t39)) % 0.45/0.68 (define @t53 () (tptp.subset @t33 @t32)) % 0.45/0.68 (define @t54 () (not @t53)) % 0.45/0.68 (define @t55 () (or @t54 (not (tptp.subset @t35 @t32)) @t52)) % 0.45/0.68 (define @t56 () (@list true)) % 0.45/0.68 (define @t57 () (@list @t55)) % 0.45/0.68 (define @t58 () (= @t51 @t44)) % 0.45/0.68 (define @t59 () (not @t58)) % 0.45/0.68 (define @t60 () (not @t44)) % 0.45/0.68 (define @t61 () (tptp.member @t45 @t35)) % 0.45/0.68 (define @t62 () (tptp.member @t45 @t33)) % 0.45/0.68 (define @t63 () (not @t62)) % 0.45/0.68 (define @t64 () (or @t63 @t61)) % 0.45/0.68 (define @t65 () (not @t64)) % 0.45/0.68 (define @t66 () (forall @t6 (or @t43 (tptp.member @t2 @t32)))) % 0.45/0.68 (define @t67 () (= @t53 @t66)) % 0.45/0.68 (define @t68 () (@list false false)) % 0.45/0.68 (define @t69 () (tptp.member @t45 @t32)) % 0.45/0.68 (define @t70 () (or @t63 @t69)) % 0.45/0.68 (define @t71 () (not @t69)) % 0.45/0.68 (define @t72 () (not @t61)) % 0.45/0.68 (define @t73 () (and @t69 @t72)) % 0.45/0.68 (define @t74 () (and @t69 @t63)) % 0.45/0.68 (define @t75 () (= @t48 @t73)) % 0.45/0.68 (define @t76 () (= @t47 @t74)) % 0.45/0.68 (define @t77 () (tptp.member @t38 @t34)) % 0.45/0.68 (define @t78 () (tptp.member @t38 @t36)) % 0.45/0.68 (define @t79 () (not @t78)) % 0.45/0.68 (define @t80 () (or @t79 @t77)) % 0.45/0.68 (define @t81 () (not @t80)) % 0.45/0.68 (define @t82 () (@list @t80)) % 0.45/0.68 (define @t83 () (tptp.member @t38 @t33)) % 0.45/0.68 (define @t84 () (not @t83)) % 0.45/0.68 (define @t85 () (tptp.member @t38 @t32)) % 0.45/0.68 (define @t86 () (and @t85 @t84)) % 0.45/0.68 (define @t87 () (= @t77 @t86)) % 0.45/0.68 (define @t88 () (not @t86)) % 0.45/0.68 (define @t89 () (@list true false)) % 0.45/0.68 (define @t90 () (tptp.member @t38 @t35)) % 0.45/0.68 (define @t91 () (not @t90)) % 0.45/0.68 (define @t92 () (and @t85 @t91)) % 0.45/0.68 (define @t93 () (= @t78 @t92)) % 0.45/0.68 (define @t94 () (not @t92)) % 0.45/0.68 (define @t95 () (@list false)) % 0.45/0.68 (define @t96 () (@list @t92)) % 0.45/0.68 (define @t97 () (not @t39)) % 0.45/0.68 (define @t98 () (or @t84 @t90)) % 0.45/0.68 (define @t99 () (not @t85)) % 0.45/0.68 (assume @p1 @t11) % 0.45/0.68 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.45/0.68 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.45/0.68 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.45/0.68 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.45/0.68 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.45/0.68 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 @t15) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.45/0.68 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.45/0.68 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.45/0.68 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.45/0.68 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.45/0.68 (assume @p12 @t27) % 0.45/0.68 (assume @p13 true) % 0.45/0.68 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t38 @t33 @t32))) % 0.45/0.68 (step @p15 :rule bool-impl-elim :args (@t5 @t3)) % 0.45/0.68 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.45/0.68 (step @p17 :rule refl :args (@t8)) % 0.45/0.68 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.45/0.68 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.45/0.68 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.45/0.68 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t36 @t34))) % 0.45/0.68 (step @p22 :rule cnf_equiv_pos2 :args (@t40)) % 0.45/0.68 (step @p23 :rule reordering :premises (@p22) :args ((or @t39 @t42 @t41))) % 0.45/0.68 (assume-push @p153 @t37) % 0.45/0.68 (step @p25 :rule instantiate :premises (@p153) :args (@t46)) % 0.45/0.68 (step-pop @p154 :rule scope :premises (@p25)) % 0.45/0.68 (step @p26 :rule process_scope :premises (@p154) :args (@t50)) % 0.45/0.68 (step @p28 :rule implies_elim :premises (@p26)) % 0.45/0.68 (step @p29 :rule aci_norm :args ((= (or (or @t29 @t28) @t21) @t30))) % 0.45/0.68 (step @p30 :rule refl :args (@t21)) % 0.45/0.68 (step @p31 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.45/0.68 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t24) @t21))) % 0.45/0.68 (step @p33 :rule trans :premises (@p32 @p29)) % 0.45/0.68 (step @p34 :rule bool-impl-elim :args (@t24 @t21)) % 0.45/0.68 (step @p35 :rule trans :premises (@p34 @p33)) % 0.45/0.68 (step @p36 :rule cong :premises (@p35) :args (@t26)) % 0.45/0.68 (step @p37 :rule cong :premises (@p36) :args (@t27)) % 0.45/0.68 (step @p38 :rule eq_resolve :premises (@p12 @p37)) % 0.45/0.68 (step @p39 :rule skolemize :premises (@p38)) % 0.45/0.68 (step @p40 :rule cnf_or_neg :args (@t55 2)) % 0.45/0.68 (step @p41 :rule chain_m_resolution :premises (@p40 @p39) :args ((not @t52) @t56 @t57)) % 0.45/0.68 (step @p42 :rule cnf_equiv_neg2 :args (@t52)) % 0.45/0.68 (step @p43 :rule instantiate :premises (@p20) :args ((@list @t33 @t35))) % 0.45/0.68 (step @p44 :rule cnf_equiv_pos2 :args (@t58)) % 0.45/0.68 (step @p45 :rule reordering :premises (@p44) :args ((or @t51 @t60 @t59))) % 0.45/0.68 (step @p46 :rule refl :args (@t65)) % 0.45/0.68 (step @p47 :rule bool-double-not-elim :args (@t44)) % 0.45/0.68 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t60) @t65))) % 0.45/0.68 (assume-push @p155 @t60) % 0.45/0.68 (step @p50 :rule skolemize :premises (@p155)) % 0.45/0.68 (step-pop @p156 :rule scope :premises (@p50)) % 0.45/0.68 (step @p51 :rule process_scope :premises (@p156) :args (@t65)) % 0.45/0.68 (step @p53 :rule implies_elim :premises (@p51)) % 0.45/0.68 (step @p54 :rule eq_resolve :premises (@p53 @p48)) % 0.45/0.68 (step @p55 :rule bool-double-not-elim :args (@t62)) % 0.45/0.68 (step @p56 :rule refl :args (@t64)) % 0.45/0.68 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t64 (not @t63)))) % 0.45/0.68 (step @p58 :rule cnf_or_neg :args (@t64 0)) % 0.45/0.68 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.45/0.68 (step @p60 :rule reordering :premises (@p59) :args ((or @t62 @t64))) % 0.45/0.68 (step @p61 :rule cnf_or_neg :args (@t64 1)) % 0.45/0.68 (step @p62 :rule instantiate :premises (@p20) :args ((@list @t33 @t32))) % 0.45/0.68 (step @p63 :rule bool-double-not-elim :args (@t53)) % 0.45/0.68 (step @p64 :rule refl :args (@t55)) % 0.45/0.68 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t55 (not @t54)))) % 0.45/0.68 (step @p66 :rule cnf_or_neg :args (@t55 0)) % 0.45/0.68 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.45/0.68 (step @p68 :rule reordering :premises (@p67) :args ((or @t53 @t55))) % 0.45/0.68 (step @p69 :rule chain_m_resolution :premises (@p68 @p39) :args (@t53 @t56 @t57)) % 0.45/0.68 (step @p70 :rule cnf_equiv_pos1 :args (@t67)) % 0.45/0.68 (step @p71 :rule reordering :premises (@p70) :args ((or @t54 @t66 (not @t67)))) % 0.45/0.68 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p62) :args (@t66 @t68 (@list @t53 @t67))) % 0.45/0.68 (step @p73 :rule instantiate :premises (@p72) :args (@t46)) % 0.45/0.68 (step @p74 :rule cnf_or_pos :args (@t70)) % 0.45/0.68 (step @p75 :rule reordering :premises (@p74) :args ((or @t63 @t69 (not @t70)))) % 0.45/0.68 (step @p76 :rule bool-double-not-elim :args (@t61)) % 0.45/0.68 (step @p77 :rule refl :args (@t71)) % 0.45/0.68 (step @p78 :rule refl :args (@t73)) % 0.45/0.68 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args ((or @t73 @t71 (not @t72)))) % 0.45/0.68 (step @p80 :rule cnf_and_neg :args (@t73)) % 0.45/0.68 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.45/0.68 (step @p82 :rule reordering :premises (@p81) :args ((or @t61 @t71 @t73))) % 0.45/0.68 (step @p83 :rule chain_m_resolution :premises (@p82 @p75 @p73 @p61 @p60) :args ((or @t64 @t73) (@list false false true false) (@list @t69 @t70 @t61 @t62))) % 0.45/0.68 (step @p84 :rule cnf_and_pos :args (@t74 1)) % 0.45/0.68 (step @p85 :rule reordering :premises (@p84) :args ((or @t63 (not @t74)))) % 0.45/0.68 (step @p86 :rule instantiate :premises (@p7) :args ((@list @t45 @t35 @t32))) % 0.45/0.68 (step @p87 :rule cnf_equiv_pos2 :args (@t75)) % 0.45/0.68 (step @p88 :rule reordering :premises (@p87) :args ((or @t48 (not @t73) (not @t75)))) % 0.45/0.68 (step @p89 :rule instantiate :premises (@p7) :args ((@list @t45 @t33 @t32))) % 0.45/0.68 (step @p90 :rule cnf_equiv_pos1 :args (@t76)) % 0.45/0.68 (step @p91 :rule reordering :premises (@p90) :args ((or (not @t47) @t74 (not @t76)))) % 0.45/0.68 (step @p92 :rule cnf_or_pos :args (@t50)) % 0.45/0.68 (step @p93 :rule reordering :premises (@p92) :args ((or @t49 @t47 (not @t50)))) % 0.45/0.68 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p89 @p88 @p86 @p85 @p83 @p60 @p54 @p45 @p43 @p42 @p41 @p28 @p23 @p21) :args (@t42 (@list true false false false true false false true true false true true false false false) (@list @t47 @t76 @t48 @t75 @t74 @t73 @t62 @t64 @t44 @t58 @t51 @t52 @t50 @t39 @t40))) % 0.45/0.68 (step @p95 :rule refl :args (@t81)) % 0.45/0.68 (step @p96 :rule bool-double-not-elim :args (@t37)) % 0.45/0.68 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t42) @t81))) % 0.45/0.68 (assume-push @p157 @t42) % 0.45/0.68 (step @p99 :rule skolemize :premises (@p157)) % 0.45/0.68 (step-pop @p158 :rule scope :premises (@p99)) % 0.45/0.68 (step @p100 :rule process_scope :premises (@p158) :args (@t81)) % 0.45/0.68 (step @p102 :rule implies_elim :premises (@p100)) % 0.45/0.68 (step @p103 :rule eq_resolve :premises (@p102 @p97)) % 0.45/0.68 (step @p104 :rule chain_m_resolution :premises (@p103 @p94) :args (@t81 @t56 (@list @t37))) % 0.45/0.68 (step @p105 :rule cnf_or_neg :args (@t80 1)) % 0.45/0.68 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args ((not @t77) @t56 @t82)) % 0.45/0.68 (step @p107 :rule cnf_equiv_pos2 :args (@t87)) % 0.45/0.68 (step @p108 :rule reordering :premises (@p107) :args ((or @t77 @t88 (not @t87)))) % 0.45/0.68 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p14) :args (@t88 @t89 (@list @t77 @t87))) % 0.45/0.68 (step @p110 :rule instantiate :premises (@p7) :args ((@list @t38 @t35 @t32))) % 0.45/0.68 (step @p111 :rule bool-double-not-elim :args (@t78)) % 0.45/0.68 (step @p112 :rule refl :args (@t80)) % 0.45/0.68 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t80 (not @t79)))) % 0.45/0.68 (step @p114 :rule cnf_or_neg :args (@t80 0)) % 0.45/0.68 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.45/0.68 (step @p116 :rule reordering :premises (@p115) :args ((or @t78 @t80))) % 0.45/0.68 (step @p117 :rule chain_m_resolution :premises (@p116 @p104) :args (@t78 @t56 @t82)) % 0.45/0.68 (step @p118 :rule cnf_equiv_pos1 :args (@t93)) % 0.45/0.68 (step @p119 :rule reordering :premises (@p118) :args ((or @t79 @t92 (not @t93)))) % 0.45/0.68 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p110) :args (@t92 @t68 (@list @t78 @t93))) % 0.45/0.68 (step @p121 :rule cnf_and_pos :args (@t92 0)) % 0.45/0.68 (step @p122 :rule reordering :premises (@p121) :args ((or @t85 @t94))) % 0.45/0.68 (step @p123 :rule chain_m_resolution :premises (@p122 @p120) :args (@t85 @t95 @t96)) % 0.45/0.68 (step @p124 :rule cnf_equiv_pos1 :args (@t40)) % 0.45/0.68 (step @p125 :rule reordering :premises (@p124) :args ((or @t97 @t37 @t41))) % 0.45/0.68 (step @p126 :rule chain_m_resolution :premises (@p125 @p94 @p21) :args (@t97 @t89 (@list @t37 @t40))) % 0.45/0.68 (step @p127 :rule cnf_equiv_neg1 :args (@t52)) % 0.45/0.68 (step @p128 :rule reordering :premises (@p127) :args ((or @t51 @t39 @t52))) % 0.45/0.68 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p41) :args (@t51 (@list true true) (@list @t39 @t52))) % 0.45/0.68 (step @p130 :rule cnf_equiv_pos1 :args (@t58)) % 0.45/0.68 (step @p131 :rule reordering :premises (@p130) :args ((or (not @t51) @t44 @t59))) % 0.45/0.68 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p43) :args (@t44 @t68 (@list @t51 @t58))) % 0.45/0.68 (assume-push @p159 @t44) % 0.45/0.68 (step @p134 :rule instantiate :premises (@p159) :args ((@list @t38))) % 0.45/0.68 (step-pop @p160 :rule scope :premises (@p134)) % 0.45/0.68 (step @p135 :rule process_scope :premises (@p160) :args (@t98)) % 0.45/0.68 (step @p137 :rule implies_elim :premises (@p135)) % 0.45/0.68 (step @p138 :rule chain_m_resolution :premises (@p137 @p132) :args (@t98 @t95 (@list @t44))) % 0.45/0.68 (step @p139 :rule cnf_and_pos :args (@t92 1)) % 0.45/0.68 (step @p140 :rule reordering :premises (@p139) :args ((or @t91 @t94))) % 0.45/0.68 (step @p141 :rule chain_m_resolution :premises (@p140 @p120) :args (@t91 @t95 @t96)) % 0.45/0.68 (step @p142 :rule cnf_or_pos :args (@t98)) % 0.45/0.68 (step @p143 :rule reordering :premises (@p142) :args ((or @t90 @t84 (not @t98)))) % 0.45/0.68 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p138) :args (@t84 @t89 (@list @t90 @t98))) % 0.45/0.68 (step @p145 :rule bool-double-not-elim :args (@t83)) % 0.45/0.68 (step @p146 :rule refl :args (@t99)) % 0.45/0.68 (step @p147 :rule refl :args (@t86)) % 0.45/0.68 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args ((or @t86 @t99 (not @t84)))) % 0.45/0.68 (step @p149 :rule cnf_and_neg :args (@t86)) % 0.45/0.68 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.45/0.68 (step @p151 :rule reordering :premises (@p150) :args ((or @t83 @t86 @t99))) % 0.45/0.68 (step @p152 false :rule chain_m_resolution :premises (@p151 @p144 @p123 @p109) :args (false (@list true false true) (@list @t83 @t85 @t86))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------