%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET016+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 : n018.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 08:46:57 AM UTC 2026 % Result : Theorem 0.35s 0.70s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET016+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 % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:40:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.70 % SZS status Theorem % 0.35/0.70 % SZS output start Proof % 0.35/0.70 ( % 0.35/0.70 (declare-sort $$unsorted 0) % 0.35/0.70 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.empty_set $$unsorted) % 0.35/0.70 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.35/0.70 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.35/0.70 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.70 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.35/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.70 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.70 (define @t3 () (tptp.member @t2 @t1)) % 0.35/0.70 (define @t4 () (@var "A" $$unsorted)) % 0.35/0.70 (define @t5 () (tptp.member @t2 @t4)) % 0.35/0.70 (define @t6 () (@list @t2)) % 0.35/0.70 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.35/0.70 (define @t8 () (tptp.subset @t4 @t1)) % 0.35/0.70 (define @t9 () (= @t8 @t7)) % 0.35/0.70 (define @t10 () (@list @t4 @t1)) % 0.35/0.70 (define @t11 () (forall @t10 @t9)) % 0.35/0.70 (define @t12 () (@list @t2 @t4)) % 0.35/0.70 (define @t13 () (@list @t2 @t4 @t1)) % 0.35/0.70 (define @t14 () (@var "E" $$unsorted)) % 0.35/0.70 (define @t15 () (= @t2 @t4)) % 0.35/0.70 (define @t16 () (tptp.singleton @t4)) % 0.35/0.70 (define @t17 () (tptp.member @t2 @t16)) % 0.35/0.70 (define @t18 () (= @t17 @t15)) % 0.35/0.70 (define @t19 () (forall @t12 @t18)) % 0.35/0.70 (define @t20 () (or @t15 (= @t2 @t1))) % 0.35/0.70 (define @t21 () (tptp.unordered_pair @t4 @t1)) % 0.35/0.70 (define @t22 () (tptp.member @t2 @t21)) % 0.35/0.70 (define @t23 () (= @t22 @t20)) % 0.35/0.70 (define @t24 () (forall @t13 @t23)) % 0.35/0.70 (define @t25 () (@var "Y" $$unsorted)) % 0.35/0.70 (define @t26 () (tptp.member @t2 @t25)) % 0.35/0.70 (define @t27 () (tptp.member @t25 @t4)) % 0.35/0.70 (define @t28 () (@list @t25)) % 0.35/0.70 (define @t29 () (@var "U" $$unsorted)) % 0.35/0.70 (define @t30 () (= @t4 @t29)) % 0.35/0.70 (define @t31 () (@var "V" $$unsorted)) % 0.35/0.70 (define @t32 () (tptp.equal_set (tptp.unordered_pair @t16 @t21) (tptp.unordered_pair (tptp.singleton @t29) (tptp.unordered_pair @t29 @t31)))) % 0.35/0.70 (define @t33 () (@list @t4 @t1 @t29 @t31)) % 0.35/0.70 (define @t34 () (forall @t33 (=> @t32 @t30))) % 0.35/0.70 (define @t35 () (not @t34)) % 0.35/0.70 (define @t36 () (forall @t33 (or (not @t32) @t30))) % 0.35/0.70 (define @t37 () (@quantifiers_skolemize @t36 3)) % 0.35/0.70 (define @t38 () (@quantifiers_skolemize @t36 2)) % 0.35/0.70 (define @t39 () (tptp.unordered_pair @t38 @t37)) % 0.35/0.70 (define @t40 () (@quantifiers_skolemize @t36 0)) % 0.35/0.70 (define @t41 () (tptp.singleton @t40)) % 0.35/0.70 (define @t42 () (tptp.singleton @t38)) % 0.35/0.70 (define @t43 () (or (= @t42 @t41) (= @t39 @t41))) % 0.35/0.70 (define @t44 () (tptp.unordered_pair @t42 @t39)) % 0.35/0.70 (define @t45 () (tptp.member @t41 @t44)) % 0.35/0.70 (define @t46 () (= @t45 @t43)) % 0.35/0.70 (define @t47 () (= @t4 @t2)) % 0.35/0.70 (define @t48 () (forall @t13 (= @t22 (or @t47 (= @t1 @t2))))) % 0.35/0.70 (define @t49 () (= @t41 @t39)) % 0.35/0.70 (define @t50 () (= @t41 @t42)) % 0.35/0.70 (define @t51 () (or @t50 @t49)) % 0.35/0.70 (define @t52 () (= @t45 @t51)) % 0.35/0.70 (define @t53 () (@list false)) % 0.35/0.70 (define @t54 () (@list @t48)) % 0.35/0.70 (define @t55 () (tptp.unordered_pair @t40 (@quantifiers_skolemize @t36 1))) % 0.35/0.70 (define @t56 () (tptp.unordered_pair @t41 @t55)) % 0.35/0.70 (define @t57 () (@list @t56 @t44)) % 0.35/0.70 (define @t58 () (tptp.equal_set @t56 @t44)) % 0.35/0.70 (define @t59 () (= @t40 @t38)) % 0.35/0.70 (define @t60 () (not @t58)) % 0.35/0.70 (define @t61 () (or @t60 @t59)) % 0.35/0.70 (define @t62 () (@list true)) % 0.35/0.70 (define @t63 () (@list @t61)) % 0.35/0.70 (define @t64 () (tptp.subset @t56 @t44)) % 0.35/0.70 (define @t65 () (and @t64 (tptp.subset @t44 @t56))) % 0.35/0.70 (define @t66 () (= @t58 @t65)) % 0.35/0.70 (define @t67 () (@list false false)) % 0.35/0.70 (define @t68 () (forall @t6 (or (not (tptp.member @t2 @t56)) (tptp.member @t2 @t44)))) % 0.35/0.70 (define @t69 () (= @t64 @t68)) % 0.35/0.70 (define @t70 () (tptp.member @t41 @t56)) % 0.35/0.70 (define @t71 () (or (= @t41 @t41) (= @t55 @t41))) % 0.35/0.70 (define @t72 () (= @t70 @t71)) % 0.35/0.70 (define @t73 () (not @t70)) % 0.35/0.70 (define @t74 () (or @t73 @t45)) % 0.35/0.70 (define @t75 () (tptp.member @t40 @t42)) % 0.35/0.70 (define @t76 () (= @t38 @t40)) % 0.35/0.70 (define @t77 () (= @t75 @t76)) % 0.35/0.70 (define @t78 () (forall @t12 (= @t17 @t47))) % 0.35/0.70 (define @t79 () (= @t59 @t75)) % 0.35/0.70 (define @t80 () (@list @t78)) % 0.35/0.70 (define @t81 () (not @t59)) % 0.35/0.70 (define @t82 () (not @t75)) % 0.35/0.70 (define @t83 () (@list true false)) % 0.35/0.70 (define @t84 () (tptp.member @t40 @t41)) % 0.35/0.70 (define @t85 () (= @t84 (= @t40 @t40))) % 0.35/0.70 (define @t86 () (not @t50)) % 0.35/0.70 (define @t87 () (not @t84)) % 0.35/0.70 (define @t88 () (= false true)) % 0.35/0.70 (define @t89 () (and @t84 @t50 @t82)) % 0.35/0.70 (define @t90 () (or @t76 (= @t37 @t40))) % 0.35/0.70 (define @t91 () (tptp.member @t40 @t39)) % 0.35/0.70 (define @t92 () (= @t91 @t90)) % 0.35/0.70 (define @t93 () (= @t40 @t37)) % 0.35/0.70 (define @t94 () (or @t59 @t93)) % 0.35/0.70 (define @t95 () (= @t91 @t94)) % 0.35/0.70 (define @t96 () (and @t84 @t49)) % 0.35/0.70 (define @t97 () (tptp.singleton @t37)) % 0.35/0.70 (define @t98 () (tptp.member @t38 @t97)) % 0.35/0.70 (define @t99 () (= @t38 @t37)) % 0.35/0.70 (define @t100 () (= @t37 @t38)) % 0.35/0.70 (define @t101 () (= @t98 @t100)) % 0.35/0.70 (define @t102 () (= @t99 @t98)) % 0.35/0.70 (define @t103 () (not @t99)) % 0.35/0.70 (define @t104 () (not @t93)) % 0.35/0.70 (define @t105 () (and @t81 @t93)) % 0.35/0.70 (define @t106 () (not @t98)) % 0.35/0.70 (define @t107 () (tptp.member @t38 @t39)) % 0.35/0.70 (define @t108 () (or (= @t38 @t38) @t100)) % 0.35/0.70 (define @t109 () (= @t107 @t108)) % 0.35/0.70 (define @t110 () (not @t107)) % 0.35/0.70 (define @t111 () (not @t49)) % 0.35/0.70 (define @t112 () (and @t107 @t49 @t93 @t106)) % 0.35/0.70 (assume @p1 @t11) % 0.35/0.70 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.35/0.70 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.35/0.70 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.35/0.70 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.35/0.70 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.35/0.70 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.35/0.70 (assume @p8 @t19) % 0.35/0.70 (assume @p9 @t24) % 0.35/0.70 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t28 (and @t27 @t26))))) % 0.35/0.70 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t28 (=> @t27 @t26))))) % 0.35/0.70 (assume @p12 @t35) % 0.35/0.70 (assume @p13 true) % 0.35/0.70 (step @p14 :rule eq-symm :args (@t2 @t1)) % 0.35/0.70 (step @p15 :rule eq-symm :args (@t2 @t4)) % 0.35/0.70 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t20)) % 0.35/0.70 (step @p17 :rule refl :args (@t22)) % 0.35/0.70 (step @p18 :rule cong :premises (@p17 @p16) :args (@t23)) % 0.35/0.70 (step @p19 :rule cong :premises (@p18) :args (@t24)) % 0.35/0.70 (step @p20 :rule eq_resolve :premises (@p9 @p19)) % 0.35/0.70 (step @p21 :rule eq-symm :args (@t39 @t41)) % 0.35/0.70 (step @p22 :rule eq-symm :args (@t42 @t41)) % 0.35/0.70 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t43)) % 0.35/0.70 (step @p24 :rule refl :args (@t45)) % 0.35/0.70 (step @p25 :rule cong :premises (@p24 @p23) :args (@t46)) % 0.35/0.70 (step @p26 :rule refl :args (@t48)) % 0.35/0.70 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t48 @t46))) % 0.35/0.70 (assume-push @p301 @t48) % 0.35/0.70 (step @p29 :rule instantiate :premises (@p20) :args ((@list @t41 @t42 @t39))) % 0.35/0.70 (step-pop @p302 :rule scope :premises (@p29)) % 0.35/0.70 (step @p30 :rule process_scope :premises (@p302) :args (@t46)) % 0.35/0.70 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 0.35/0.70 (step @p33 :rule implies_elim :premises (@p32)) % 0.35/0.70 (step @p34 :rule chain_m_resolution :premises (@p33 @p20) :args (@t52 @t53 @t54)) % 0.35/0.70 (step @p35 :rule bool-impl-elim :args (@t5 @t3)) % 0.35/0.70 (step @p36 :rule cong :premises (@p35) :args (@t7)) % 0.35/0.70 (step @p37 :rule refl :args (@t8)) % 0.35/0.70 (step @p38 :rule cong :premises (@p37 @p36) :args (@t9)) % 0.35/0.70 (step @p39 :rule cong :premises (@p38) :args (@t11)) % 0.35/0.70 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.35/0.70 (step @p41 :rule instantiate :premises (@p40) :args (@t57)) % 0.35/0.70 (step @p42 :rule instantiate :premises (@p2) :args (@t57)) % 0.35/0.70 (step @p43 :rule bool-impl-elim :args (@t32 @t30)) % 0.35/0.70 (step @p44 :rule cong :premises (@p43) :args (@t34)) % 0.35/0.70 (step @p45 :rule cong :premises (@p44) :args (@t35)) % 0.35/0.70 (step @p46 :rule eq_resolve :premises (@p12 @p45)) % 0.35/0.70 (step @p47 :rule skolemize :premises (@p46)) % 0.35/0.70 (step @p48 :rule bool-double-not-elim :args (@t58)) % 0.35/0.70 (step @p49 :rule refl :args (@t61)) % 0.35/0.70 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t61 (not @t60)))) % 0.35/0.70 (step @p51 :rule cnf_or_neg :args (@t61 0)) % 0.35/0.70 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.35/0.70 (step @p53 :rule reordering :premises (@p52) :args ((or @t58 @t61))) % 0.35/0.70 (step @p54 :rule chain_m_resolution :premises (@p53 @p47) :args (@t58 @t62 @t63)) % 0.35/0.70 (step @p55 :rule cnf_equiv_pos1 :args (@t66)) % 0.35/0.70 (step @p56 :rule reordering :premises (@p55) :args ((or @t60 @t65 (not @t66)))) % 0.35/0.70 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p42) :args (@t65 @t67 (@list @t58 @t66))) % 0.35/0.70 (step @p58 :rule cnf_and_pos :args (@t65 0)) % 0.35/0.70 (step @p59 :rule reordering :premises (@p58) :args ((or @t64 (not @t65)))) % 0.35/0.70 (step @p60 :rule chain_m_resolution :premises (@p59 @p57) :args (@t64 @t53 (@list @t65))) % 0.35/0.70 (step @p61 :rule cnf_equiv_pos1 :args (@t69)) % 0.35/0.70 (step @p62 :rule reordering :premises (@p61) :args ((or (not @t64) @t68 (not @t69)))) % 0.35/0.70 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p41) :args (@t68 @t67 (@list @t64 @t69))) % 0.35/0.70 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t41))) % 0.35/0.70 (step @p65 :rule bool-eq-true :args (@t70)) % 0.35/0.70 (step @p66 :rule absorb :args ((= (or true (= @t41 @t55)) true))) % 0.35/0.70 (step @p67 :rule eq-symm :args (@t55 @t41)) % 0.35/0.70 (step @p68 :rule eq-refl :args (@t41)) % 0.35/0.70 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t71)) % 0.35/0.70 (step @p70 :rule trans :premises (@p69 @p66)) % 0.35/0.70 (step @p71 :rule refl :args (@t70)) % 0.35/0.70 (step @p72 :rule cong :premises (@p71 @p70) :args (@t72)) % 0.35/0.70 (step @p73 :rule trans :premises (@p72 @p65)) % 0.35/0.70 (step @p74 :rule cong :premises (@p26 @p73) :args ((=> @t48 @t72))) % 0.35/0.70 (assume-push @p303 @t48) % 0.35/0.70 (step @p76 :rule instantiate :premises (@p20) :args ((@list @t41 @t41 @t55))) % 0.35/0.70 (step-pop @p304 :rule scope :premises (@p76)) % 0.35/0.70 (step @p77 :rule process_scope :premises (@p304) :args (@t72)) % 0.35/0.70 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 0.35/0.70 (step @p80 :rule implies_elim :premises (@p79)) % 0.35/0.70 (step @p81 :rule chain_m_resolution :premises (@p80 @p20) :args (@t70 @t53 @t54)) % 0.35/0.70 (step @p82 :rule cnf_or_pos :args (@t74)) % 0.35/0.70 (step @p83 :rule reordering :premises (@p82) :args ((or @t73 @t45 (not @t74)))) % 0.35/0.70 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p64) :args (@t45 @t67 (@list @t70 @t74))) % 0.35/0.70 (step @p85 :rule cnf_equiv_pos1 :args (@t52)) % 0.35/0.70 (step @p86 :rule reordering :premises (@p85) :args ((or (not @t45) @t51 (not @t52)))) % 0.35/0.70 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p34) :args (@t51 @t67 (@list @t45 @t52))) % 0.35/0.70 (step @p88 :rule refl :args (@t17)) % 0.35/0.70 (step @p89 :rule cong :premises (@p88 @p15) :args (@t18)) % 0.35/0.70 (step @p90 :rule cong :premises (@p89) :args (@t19)) % 0.35/0.70 (step @p91 :rule eq_resolve :premises (@p8 @p90)) % 0.35/0.70 (step @p92 :rule eq-symm :args (@t75 @t59)) % 0.35/0.70 (step @p93 :rule eq-symm :args (@t38 @t40)) % 0.35/0.70 (step @p94 :rule refl :args (@t75)) % 0.35/0.70 (step @p95 :rule cong :premises (@p94 @p93) :args (@t77)) % 0.35/0.70 (step @p96 :rule trans :premises (@p95 @p92)) % 0.35/0.70 (step @p97 :rule refl :args (@t78)) % 0.35/0.70 (step @p98 :rule cong :premises (@p97 @p96) :args ((=> @t78 @t77))) % 0.35/0.70 (assume-push @p305 @t78) % 0.35/0.70 (step @p100 :rule instantiate :premises (@p91) :args ((@list @t40 @t38))) % 0.35/0.70 (step-pop @p306 :rule scope :premises (@p100)) % 0.35/0.70 (step @p101 :rule process_scope :premises (@p306) :args (@t77)) % 0.35/0.70 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 0.35/0.70 (step @p104 :rule implies_elim :premises (@p103)) % 0.35/0.70 (step @p105 :rule chain_m_resolution :premises (@p104 @p91) :args (@t79 @t53 @t80)) % 0.35/0.70 (step @p106 :rule cnf_or_neg :args (@t61 1)) % 0.35/0.70 (step @p107 :rule chain_m_resolution :premises (@p106 @p47) :args (@t81 @t62 @t63)) % 0.35/0.70 (step @p108 :rule cnf_equiv_pos2 :args (@t79)) % 0.35/0.70 (step @p109 :rule reordering :premises (@p108) :args ((or @t59 @t82 (not @t79)))) % 0.35/0.70 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p105) :args (@t82 @t83 (@list @t59 @t79))) % 0.35/0.70 (step @p111 :rule bool-eq-true :args (@t84)) % 0.35/0.70 (step @p112 :rule eq-refl :args (@t40)) % 0.35/0.70 (step @p113 :rule refl :args (@t84)) % 0.35/0.70 (step @p114 :rule cong :premises (@p113 @p112) :args (@t85)) % 0.35/0.70 (step @p115 :rule trans :premises (@p114 @p111)) % 0.35/0.70 (step @p116 :rule cong :premises (@p97 @p115) :args ((=> @t78 @t85))) % 0.35/0.70 (assume-push @p307 @t78) % 0.35/0.70 (step @p118 :rule instantiate :premises (@p91) :args ((@list @t40 @t40))) % 0.35/0.70 (step-pop @p308 :rule scope :premises (@p118)) % 0.35/0.70 (step @p119 :rule process_scope :premises (@p308) :args (@t85)) % 0.35/0.70 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 0.35/0.70 (step @p122 :rule implies_elim :premises (@p121)) % 0.35/0.70 (step @p123 :rule chain_m_resolution :premises (@p122 @p91) :args (@t84 @t53 @t80)) % 0.35/0.70 (step @p124 :rule refl :args (@t86)) % 0.35/0.70 (step @p125 :rule bool-double-not-elim :args 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@t54)) % 0.35/0.70 (assume-push @p323 @t84) % 0.35/0.70 (assume-push @p324 @t49) % 0.35/0.70 (assume-push @p325 @t84) % 0.35/0.70 (assume-push @p326 @t49) % 0.35/0.70 (step @p132 :rule true_intro :premises (@p123)) % 0.35/0.70 (step @p176 :rule symm :premises (@p324)) % 0.35/0.70 (step @p134 :rule refl :args (@t40)) % 0.35/0.70 (step @p177 :rule cong :premises (@p134 @p176) :args (@t91)) % 0.35/0.70 (step @p178 :rule trans :premises (@p177 @p132)) % 0.35/0.70 (step @p179 :rule true_elim :premises (@p178)) % 0.35/0.70 (step-pop @p327 :rule scope :premises (@p179)) % 0.35/0.70 (step-pop @p328 :rule scope :premises (@p327)) % 0.35/0.70 (step @p180 :rule process_scope :premises (@p328) :args (@t91)) % 0.35/0.70 (step @p183 :rule and_intro :premises (@p123 @p324)) % 0.35/0.70 (step @p184 :rule modus_ponens :premises (@p183 @p180)) % 0.35/0.70 (step-pop @p329 :rule scope :premises (@p184)) % 0.35/0.70 (step-pop @p330 :rule scope :premises (@p329)) % 0.35/0.70 (step @p185 :rule process_scope 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0.35/0.70 (step-pop @p357 :rule scope :premises (@p356)) % 0.35/0.70 (step-pop @p358 :rule scope :premises (@p357)) % 0.35/0.70 (step @p291 :rule process_scope :premises (@p358) :args (@t112)) % 0.35/0.70 (step @p296 :rule implies_elim :premises (@p291)) % 0.35/0.70 (step @p297 :rule resolution :premises (@p296 @p281) :args (true @t112)) % 0.35/0.70 (step @p298 :rule not_and :premises (@p297)) % 0.35/0.70 (step @p299 :rule eq_resolve :premises (@p298 @p267)) % 0.35/0.70 (step @p300 false :rule chain_m_resolution :premises (@p299 @p263 @p247 @p197 @p159) :args (false (@list false true false false) (@list @t107 @t98 @t93 @t49))) % 0.35/0.70 ) % 0.35/0.70 % SZS output end Proof % 0.35/0.70 % cvc5 exiting %------------------------------------------------------------------------------