%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU319+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:51:22 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU319+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 16:56:08 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.37/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.cast_as_carrier_subset @t1)) % 0.37/0.58 (define @t4 () (tptp.the_carrier @t1)) % 0.37/0.58 (define @t5 () (tptp.subset_difference @t4 @t3 @t2)) % 0.37/0.58 (define @t6 () (tptp.closed_subset @t2 @t1)) % 0.37/0.58 (define @t7 () (= @t6 (tptp.open_subset @t5 @t1))) % 0.37/0.58 (define @t8 () (tptp.powerset @t4)) % 0.37/0.58 (define @t9 () (tptp.element @t2 @t8)) % 0.37/0.58 (define @t10 () (@list @t2)) % 0.37/0.58 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.37/0.58 (define @t12 () (tptp.top_str @t1)) % 0.37/0.58 (define @t13 () (=> @t12 @t11)) % 0.37/0.58 (define @t14 () (@list @t1)) % 0.37/0.58 (define @t15 () (forall @t14 @t13)) % 0.37/0.58 (define @t16 () (tptp.one_sorted_str @t1)) % 0.37/0.58 (define @t17 () (tptp.powerset @t1)) % 0.37/0.58 (define @t18 () (tptp.subset_complement @t1 @t2)) % 0.37/0.58 (define @t19 () (tptp.element @t2 @t17)) % 0.37/0.58 (define @t20 () (@list @t1 @t2)) % 0.37/0.58 (define @t21 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t22 () (tptp.subset_difference @t1 @t2 @t21)) % 0.37/0.58 (define @t23 () (and @t19 (tptp.element @t21 @t17))) % 0.37/0.58 (define @t24 () (@list @t1 @t2 @t21)) % 0.37/0.58 (define @t25 () (forall @t14 (=> @t12 @t16))) % 0.37/0.58 (define @t26 () (tptp.subset_complement @t4 @t2)) % 0.37/0.58 (define @t27 () (=> @t9 (= @t26 @t5))) % 0.37/0.58 (define @t28 () (forall @t10 @t27)) % 0.37/0.58 (define @t29 () (=> @t16 @t28)) % 0.37/0.58 (define @t30 () (forall @t14 @t29)) % 0.37/0.58 (define @t31 () (= @t6 (tptp.open_subset @t26 @t1))) % 0.37/0.58 (define @t32 () (forall @t10 (=> @t9 @t31))) % 0.37/0.58 (define @t33 () (=> @t12 @t32)) % 0.37/0.58 (define @t34 () (forall @t14 @t33)) % 0.37/0.58 (define @t35 () (not @t34)) % 0.37/0.58 (define @t36 () (@var "BOUND_VARIABLE_7566" $$unsorted)) % 0.37/0.58 (define @t37 () (= (tptp.subset_difference @t4 @t3 @t36) (tptp.subset_complement @t4 @t36))) % 0.37/0.58 (define @t38 () (not (tptp.element @t36 @t8))) % 0.37/0.58 (define @t39 () (not @t16)) % 0.37/0.58 (define @t40 () (or @t39 @t38 @t37)) % 0.37/0.58 (define @t41 () (or @t38 @t37)) % 0.37/0.58 (define @t42 () (or @t39 @t41)) % 0.37/0.58 (define @t43 () (@list @t1 @t36)) % 0.37/0.58 (define @t44 () (forall @t43 @t42)) % 0.37/0.58 (define @t45 () (@list @t36)) % 0.37/0.58 (define @t46 () (forall @t45 @t42)) % 0.37/0.58 (define @t47 () (forall @t45 @t41)) % 0.37/0.58 (define @t48 () (@list @t2)) % 0.37/0.58 (define @t49 () (or @t39 @t47)) % 0.37/0.58 (define @t50 () (= @t5 @t26)) % 0.37/0.58 (define @t51 () (not @t9)) % 0.37/0.58 (define @t52 () (forall @t10 (or @t51 @t50))) % 0.37/0.58 (define @t53 () (@var "BOUND_VARIABLE_7586" $$unsorted)) % 0.37/0.58 (define @t54 () (= (tptp.closed_subset @t53 @t1) (tptp.open_subset (tptp.subset_complement @t4 @t53) @t1))) % 0.37/0.58 (define @t55 () (not (tptp.element @t53 @t8))) % 0.37/0.58 (define @t56 () (not @t12)) % 0.37/0.58 (define @t57 () (or @t56 @t55 @t54)) % 0.37/0.58 (define @t58 () (@list @t1 @t53)) % 0.37/0.58 (define @t59 () (forall @t58 @t57)) % 0.37/0.58 (define @t60 () (@quantifiers_skolemize @t59 1)) % 0.37/0.58 (define @t61 () (@quantifiers_skolemize @t59 0)) % 0.37/0.58 (define @t62 () (tptp.the_carrier @t61)) % 0.37/0.58 (define @t63 () (tptp.subset_difference @t62 (tptp.cast_as_carrier_subset @t61) @t60)) % 0.37/0.58 (define @t64 () (tptp.subset_complement @t62 @t60)) % 0.37/0.58 (define @t65 () (tptp.element @t60 (tptp.powerset @t62))) % 0.37/0.58 (define @t66 () (not @t65)) % 0.37/0.58 (define @t67 () (tptp.one_sorted_str @t61)) % 0.37/0.58 (define @t68 () (not @t67)) % 0.37/0.58 (define @t69 () (or @t68 @t66 (= @t63 @t64))) % 0.37/0.58 (define @t70 () (forall @t43 @t40)) % 0.37/0.58 (define @t71 () (@list @t61 @t60)) % 0.37/0.58 (define @t72 () (= @t64 @t63)) % 0.37/0.58 (define @t73 () (or @t68 @t66 @t72)) % 0.37/0.58 (define @t74 () (or @t55 @t54)) % 0.37/0.58 (define @t75 () (or @t56 @t74)) % 0.37/0.58 (define @t76 () (forall @t58 @t75)) % 0.37/0.58 (define @t77 () (@list @t53)) % 0.37/0.58 (define @t78 () (forall @t77 @t75)) % 0.37/0.58 (define @t79 () (forall @t77 @t74)) % 0.37/0.58 (define @t80 () (or @t56 @t79)) % 0.37/0.58 (define @t81 () (forall @t10 (or @t51 @t31))) % 0.37/0.58 (define @t82 () (tptp.top_str @t61)) % 0.37/0.58 (define @t83 () (tptp.open_subset @t64 @t61)) % 0.37/0.58 (define @t84 () (tptp.closed_subset @t60 @t61)) % 0.37/0.58 (define @t85 () (= @t84 @t83)) % 0.37/0.58 (define @t86 () (not @t82)) % 0.37/0.58 (define @t87 () (or @t86 @t66 @t85)) % 0.37/0.58 (define @t88 () (@list true)) % 0.37/0.58 (define @t89 () (@list @t87)) % 0.37/0.58 (define @t90 () (or @t86 @t67)) % 0.37/0.58 (define @t91 () (@list false false)) % 0.37/0.58 (define @t92 () (@list false false false)) % 0.37/0.58 (define @t93 () (@var "BOUND_VARIABLE_7503" $$unsorted)) % 0.37/0.58 (define @t94 () (= (tptp.closed_subset @t93 @t1) (tptp.open_subset (tptp.subset_difference @t4 @t3 @t93) @t1))) % 0.37/0.58 (define @t95 () (not (tptp.element @t93 @t8))) % 0.37/0.58 (define @t96 () (or @t95 @t94)) % 0.37/0.58 (define @t97 () (or @t56 @t96)) % 0.37/0.58 (define @t98 () (forall (@list @t1 @t93) @t97)) % 0.37/0.58 (define @t99 () (@list @t93)) % 0.37/0.58 (define @t100 () (forall @t99 @t97)) % 0.37/0.58 (define @t101 () (forall @t99 @t96)) % 0.37/0.58 (define @t102 () (or @t56 @t101)) % 0.37/0.58 (define @t103 () (forall @t10 (or @t51 @t7))) % 0.37/0.58 (define @t104 () (tptp.open_subset @t63 @t61)) % 0.37/0.58 (define @t105 () (= @t84 @t104)) % 0.37/0.58 (define @t106 () (or @t86 @t66 @t105)) % 0.37/0.58 (define @t107 () (not @t105)) % 0.37/0.58 (define @t108 () (not @t83)) % 0.37/0.58 (define @t109 () (not @t72)) % 0.37/0.58 (define @t110 () (not @t104)) % 0.37/0.58 (define @t111 () (and @t72 @t110)) % 0.37/0.58 (define @t112 () (and @t104 @t72)) % 0.37/0.58 (assume @p1 @t15) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (assume @p3 (forall @t14 (=> @t16 (tptp.element @t3 @t8)))) % 0.37/0.58 (assume @p4 (forall @t20 (=> @t19 (tptp.element @t18 @t17)))) % 0.37/0.58 (assume @p5 (forall @t24 (=> @t23 (tptp.element @t22 @t17)))) % 0.37/0.58 (assume @p6 @t25) % 0.37/0.58 (assume @p7 (exists @t14 @t12)) % 0.37/0.58 (assume @p8 (exists @t14 @t16)) % 0.37/0.58 (assume @p9 (forall @t14 (exists @t10 (tptp.element @t2 @t1)))) % 0.37/0.58 (assume @p10 (forall @t20 (=> @t19 (= (tptp.subset_complement @t1 @t18) @t2)))) % 0.37/0.58 (assume @p11 (forall @t24 (=> @t23 (= @t22 (tptp.set_difference @t2 @t21))))) % 0.37/0.58 (assume @p12 (forall @t20 (tptp.subset @t1 @t1))) % 0.37/0.58 (assume @p13 @t30) % 0.37/0.58 (assume @p14 @t35) % 0.37/0.58 (assume @p15 (forall @t20 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.58 (step @p16 :rule aci_norm :args ((= @t42 @t40))) % 0.37/0.58 (step @p17 :rule cong :premises (@p16) :args (@t44)) % 0.37/0.58 (step @p18 :rule quant-merge-prenex :args ((= (forall @t14 @t46) @t44))) % 0.37/0.58 (step @p19 :rule alpha_equiv :args (@t47 (@list @t36) @t48)) % 0.37/0.58 (step @p20 :rule refl :args (@t39)) % 0.37/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t49)) % 0.37/0.58 (step @p22 :rule quant-miniscope-or :args ((= @t46 @t49))) % 0.37/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.58 (step @p24 :rule symm :premises (@p23)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24) :args ((forall @t14 (or @t39 @t52)))) % 0.37/0.58 (step @p26 :rule trans :premises (@p25 @p18)) % 0.37/0.58 (step @p27 :rule trans :premises (@p26 @p17)) % 0.37/0.58 (step @p28 :rule bool-impl-elim :args (@t16 @t52)) % 0.37/0.58 (step @p29 :rule cong :premises (@p28) :args ((forall @t14 (=> @t16 @t52)))) % 0.37/0.58 (step @p30 :rule trans :premises (@p29 @p27)) % 0.37/0.58 (step @p31 :rule bool-impl-elim :args (@t9 @t50)) % 0.37/0.58 (step @p32 :rule cong :premises (@p31) :args ((forall @t10 (=> @t9 @t50)))) % 0.37/0.58 (step @p33 :rule eq-symm :args (@t26 @t5)) % 0.37/0.58 (step @p34 :rule refl :args (@t9)) % 0.37/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args (@t27)) % 0.37/0.58 (step @p36 :rule cong :premises (@p35) :args (@t28)) % 0.37/0.58 (step @p37 :rule trans :premises (@p36 @p32)) % 0.37/0.58 (step @p38 :rule refl :args (@t16)) % 0.37/0.58 (step @p39 :rule cong :premises (@p38 @p37) :args (@t29)) % 0.37/0.58 (step @p40 :rule cong :premises (@p39) :args (@t30)) % 0.37/0.58 (step @p41 :rule trans :premises (@p40 @p30)) % 0.37/0.58 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 0.37/0.58 (step @p43 :rule eq-symm :args (@t63 @t64)) % 0.37/0.58 (step @p44 :rule refl :args (@t66)) % 0.37/0.58 (step @p45 :rule refl :args (@t68)) % 0.37/0.58 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t69)) % 0.37/0.58 (step @p47 :rule refl :args (@t70)) % 0.37/0.58 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t70 @t69))) % 0.37/0.58 (assume-push @p185 @t70) % 0.37/0.58 (step @p50 :rule instantiate :premises (@p42) :args (@t71)) % 0.37/0.58 (step-pop @p186 :rule scope :premises (@p50)) % 0.37/0.58 (step @p51 :rule process_scope :premises (@p186) :args (@t69)) % 0.37/0.58 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.37/0.58 (step @p54 :rule implies_elim :premises (@p53)) % 0.37/0.58 (step @p55 :rule chain_m_resolution :premises (@p54 @p42) :args (@t73 (@list false) (@list @t70))) % 0.37/0.58 (step @p56 :rule bool-impl-elim :args (@t12 @t16)) % 0.37/0.58 (step @p57 :rule cong :premises (@p56) :args (@t25)) % 0.37/0.58 (step @p58 :rule eq_resolve :premises (@p6 @p57)) % 0.37/0.58 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t61))) % 0.37/0.58 (step @p60 :rule aci_norm :args ((= @t75 @t57))) % 0.37/0.58 (step @p61 :rule cong :premises (@p60) :args (@t76)) % 0.37/0.58 (step @p62 :rule quant-merge-prenex :args ((= (forall @t14 @t78) @t76))) % 0.37/0.58 (step @p63 :rule alpha_equiv :args (@t79 (@list @t53) @t48)) % 0.37/0.58 (step @p64 :rule refl :args (@t56)) % 0.37/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t80)) % 0.37/0.58 (step @p66 :rule quant-miniscope-or :args ((= @t78 @t80))) % 0.37/0.58 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.58 (step @p68 :rule symm :premises (@p67)) % 0.37/0.58 (step @p69 :rule cong :premises (@p68) :args ((forall @t14 (or @t56 @t81)))) % 0.37/0.58 (step @p70 :rule trans :premises (@p69 @p62)) % 0.37/0.58 (step @p71 :rule trans :premises (@p70 @p61)) % 0.37/0.58 (step @p72 :rule bool-impl-elim :args (@t12 @t81)) % 0.37/0.58 (step @p73 :rule cong :premises (@p72) :args ((forall @t14 (=> @t12 @t81)))) % 0.37/0.58 (step @p74 :rule trans :premises (@p73 @p71)) % 0.37/0.58 (step @p75 :rule bool-impl-elim :args (@t9 @t31)) % 0.37/0.58 (step @p76 :rule cong :premises (@p75) :args (@t32)) % 0.37/0.58 (step @p77 :rule refl :args (@t12)) % 0.37/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args (@t33)) % 0.37/0.58 (step @p79 :rule cong :premises (@p78) :args (@t34)) % 0.37/0.58 (step @p80 :rule trans :premises (@p79 @p74)) % 0.37/0.58 (step @p81 :rule cong :premises (@p80) :args (@t35)) % 0.37/0.58 (step @p82 :rule eq_resolve :premises (@p14 @p81)) % 0.37/0.58 (step @p83 :rule skolemize :premises (@p82)) % 0.37/0.58 (step @p84 :rule bool-double-not-elim :args (@t82)) % 0.37/0.58 (step @p85 :rule refl :args (@t87)) % 0.37/0.58 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t87 (not @t86)))) % 0.37/0.58 (step @p87 :rule cnf_or_neg :args (@t87 0)) % 0.37/0.58 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.37/0.58 (step @p89 :rule reordering :premises (@p88) :args ((or @t82 @t87))) % 0.37/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t82 @t88 @t89)) % 0.37/0.58 (step @p91 :rule cnf_or_pos :args (@t90)) % 0.37/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t86 @t67 (not @t90)))) % 0.37/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p59) :args (@t67 @t91 (@list @t82 @t90))) % 0.37/0.58 (step @p94 :rule bool-double-not-elim :args (@t65)) % 0.37/0.58 (step @p95 :rule nary_cong :premises (@p85 @p94) :args ((or @t87 (not @t66)))) % 0.37/0.58 (step @p96 :rule cnf_or_neg :args (@t87 1)) % 0.37/0.58 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.37/0.58 (step @p98 :rule reordering :premises (@p97) :args ((or @t65 @t87))) % 0.37/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p83) :args (@t65 @t88 @t89)) % 0.37/0.58 (step @p100 :rule cnf_or_pos :args (@t73)) % 0.37/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t66 @t68 @t72 (not @t73)))) % 0.37/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p93 @p55) :args (@t72 @t92 (@list @t65 @t67 @t73))) % 0.37/0.58 (step @p103 :rule aci_norm :args ((= @t97 (or @t56 @t95 @t94)))) % 0.37/0.58 (step @p104 :rule cong :premises (@p103) :args (@t98)) % 0.37/0.58 (step @p105 :rule quant-merge-prenex :args ((= (forall @t14 @t100) @t98))) % 0.37/0.58 (step @p106 :rule alpha_equiv :args (@t101 (@list @t93) @t48)) % 0.37/0.58 (step @p107 :rule nary_cong :premises (@p64 @p106) :args (@t102)) % 0.37/0.58 (step @p108 :rule quant-miniscope-or :args ((= @t100 @t102))) % 0.37/0.58 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.58 (step @p110 :rule symm :premises (@p109)) % 0.37/0.58 (step @p111 :rule cong :premises (@p110) :args ((forall @t14 (or @t56 @t103)))) % 0.37/0.58 (step @p112 :rule trans :premises (@p111 @p105)) % 0.37/0.58 (step @p113 :rule trans :premises (@p112 @p104)) % 0.37/0.58 (step @p114 :rule bool-impl-elim :args (@t12 @t103)) % 0.37/0.58 (step @p115 :rule cong :premises (@p114) :args ((forall @t14 (=> @t12 @t103)))) % 0.37/0.58 (step @p116 :rule trans :premises (@p115 @p113)) % 0.37/0.58 (step @p117 :rule bool-impl-elim :args (@t9 @t7)) % 0.37/0.58 (step @p118 :rule cong :premises (@p117) :args (@t11)) % 0.37/0.58 (step @p119 :rule cong :premises (@p77 @p118) :args (@t13)) % 0.37/0.58 (step @p120 :rule cong :premises (@p119) :args (@t15)) % 0.37/0.58 (step @p121 :rule trans :premises (@p120 @p116)) % 0.37/0.58 (step @p122 :rule eq_resolve :premises (@p1 @p121)) % 0.37/0.58 (step @p123 :rule instantiate :premises (@p122) :args (@t71)) % 0.37/0.58 (step @p124 :rule cnf_or_pos :args (@t106)) % 0.37/0.58 (step @p125 :rule reordering :premises (@p124) :args ((or @t86 @t66 @t105 (not @t106)))) % 0.37/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p90 @p99 @p123) :args (@t105 @t92 (@list @t82 @t65 @t106))) % 0.37/0.58 (step @p127 :rule cnf_equiv_pos1 :args (@t105)) % 0.37/0.58 (step @p128 :rule reordering :premises (@p127) :args ((or (not @t84) @t104 @t107))) % 0.37/0.58 (step @p129 :rule cnf_or_neg :args (@t87 2)) % 0.37/0.58 (step @p130 :rule chain_m_resolution :premises (@p129 @p83) :args ((not @t85) @t88 @t89)) % 0.37/0.58 (step @p131 :rule cnf_equiv_neg1 :args (@t85)) % 0.37/0.58 (step @p132 :rule reordering :premises (@p131) :args ((or @t84 @t83 @t85))) % 0.37/0.58 (step @p133 :rule refl :args (@t108)) % 0.37/0.58 (step @p134 :rule bool-double-not-elim :args (@t104)) % 0.37/0.58 (step @p135 :rule refl :args (@t109)) % 0.37/0.58 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args ((or @t109 (not @t110) @t108))) % 0.37/0.58 (assume-push @p187 @t72) % 0.37/0.58 (assume-push @p188 @t110) % 0.37/0.58 (assume-push @p189 @t110) % 0.37/0.58 (assume-push @p190 @t72) % 0.37/0.58 (step @p141 :rule false_intro :premises (@p188)) % 0.37/0.58 (step @p142 :rule refl :args (@t61)) % 0.37/0.58 (step @p143 :rule cong :premises (@p102 @p142) :args (@t83)) % 0.37/0.58 (step @p144 :rule trans :premises (@p143 @p141)) % 0.37/0.58 (step @p145 :rule false_elim :premises (@p144)) % 0.37/0.58 (step-pop @p191 :rule scope :premises (@p145)) % 0.37/0.58 (step-pop @p192 :rule scope :premises (@p191)) % 0.37/0.58 (step @p146 :rule process_scope :premises (@p192) :args (@t108)) % 0.37/0.58 (step @p149 :rule and_intro :premises (@p188 @p102)) % 0.37/0.58 (step @p150 :rule modus_ponens :premises (@p149 @p146)) % 0.37/0.58 (step-pop @p193 :rule scope :premises (@p150)) % 0.37/0.58 (step-pop @p194 :rule scope :premises (@p193)) % 0.37/0.58 (step @p151 :rule process_scope :premises (@p194) :args (@t108)) % 0.37/0.58 (step @p154 :rule implies_elim :premises (@p151)) % 0.37/0.58 (step @p155 :rule cnf_and_neg :args (@t111)) % 0.37/0.58 (step @p156 :rule resolution :premises (@p155 @p154) :args (true @t111)) % 0.37/0.58 (step @p157 :rule eq_resolve :premises (@p156 @p136)) % 0.37/0.58 (step @p158 :rule reordering :premises (@p157) :args ((or @t108 @t104 @t109))) % 0.37/0.58 (step @p159 :rule chain_m_resolution :premises (@p158 @p102 @p132 @p130 @p128 @p126) :args (@t104 (@list false false true true false) (@list @t72 @t83 @t85 @t84 @t105))) % 0.37/0.58 (step @p160 :rule cnf_equiv_pos2 :args (@t105)) % 0.37/0.58 (step @p161 :rule reordering :premises (@p160) :args ((or @t84 @t110 @t107))) % 0.37/0.58 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p126) :args (@t84 @t91 (@list @t104 @t105))) % 0.37/0.58 (step @p163 :rule cnf_equiv_neg2 :args (@t85)) % 0.37/0.58 (step @p164 :rule chain_m_resolution :premises (@p163 @p130 @p162) :args (@t108 (@list true false) (@list @t85 @t84))) % 0.37/0.58 (assume-push @p195 @t104) % 0.37/0.58 (assume-push @p196 @t72) % 0.37/0.58 (assume-push @p197 @t104) % 0.37/0.58 (assume-push @p198 @t72) % 0.37/0.58 (step @p169 :rule true_intro :premises (@p195)) % 0.37/0.58 (step @p142 :rule refl :args (@t61)) % 0.37/0.58 (step @p143 :rule cong :premises (@p102 @p142) :args (@t83)) % 0.37/0.58 (step @p170 :rule trans :premises (@p143 @p169)) % 0.37/0.58 (step @p171 :rule true_elim :premises (@p170)) % 0.37/0.58 (step-pop @p199 :rule scope :premises (@p171)) % 0.37/0.58 (step-pop @p200 :rule scope :premises (@p199)) % 0.37/0.58 (step @p172 :rule process_scope :premises (@p200) :args (@t83)) % 0.37/0.58 (step @p175 :rule and_intro :premises (@p195 @p102)) % 0.37/0.58 (step @p176 :rule modus_ponens :premises (@p175 @p172)) % 0.37/0.58 (step-pop @p201 :rule scope :premises (@p176)) % 0.37/0.58 (step-pop @p202 :rule scope :premises (@p201)) % 0.37/0.58 (step @p177 :rule process_scope :premises (@p202) :args (@t83)) % 0.37/0.58 (step @p180 :rule implies_elim :premises (@p177)) % 0.37/0.58 (step @p181 :rule cnf_and_neg :args (@t112)) % 0.37/0.58 (step @p182 :rule resolution :premises (@p181 @p180) :args (true @t112)) % 0.37/0.58 (step @p183 :rule reordering :premises (@p182) :args ((or @t83 @t110 @t109))) % 0.37/0.58 (step @p184 false :rule chain_m_resolution :premises (@p183 @p164 @p159 @p102) :args (false (@list true false false) (@list @t83 @t104 @t72))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------