%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU120+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 : n005.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 08:50:36 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU120+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:30:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.empty_set $$unsorted) % 0.36/0.59 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t3 () (not (tptp.in @t2 @t1))) % 0.36/0.59 (define @t4 () (@list @t1 @t2)) % 0.36/0.59 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 0.36/0.59 (define @t6 () (@list @t2)) % 0.36/0.59 (define @t7 () (@list @t1)) % 0.36/0.59 (define @t8 () (forall @t7 (= (= @t1 tptp.empty_set) (forall @t6 @t3)))) % 0.36/0.59 (define @t9 () (tptp.disjoint @t1 @t2)) % 0.36/0.59 (define @t10 () (forall @t4 (= @t9 (= @t5 tptp.empty_set)))) % 0.36/0.59 (define @t11 () (tptp.empty @t1)) % 0.36/0.59 (define @t12 () (@var "C" $$unsorted)) % 0.36/0.59 (define @t13 () (tptp.in @t12 @t5)) % 0.36/0.59 (define @t14 () (@list @t12)) % 0.36/0.59 (define @t15 () (exists @t14 @t13)) % 0.36/0.59 (define @t16 () (and @t15 @t9)) % 0.36/0.59 (define @t17 () (not @t16)) % 0.36/0.59 (define @t18 () (forall @t14 (not @t13))) % 0.36/0.59 (define @t19 () (not @t9)) % 0.36/0.59 (define @t20 () (not (and @t19 @t18))) % 0.36/0.59 (define @t21 () (and @t20 @t17)) % 0.36/0.59 (define @t22 () (forall @t4 @t21)) % 0.36/0.59 (define @t23 () (not @t22)) % 0.36/0.59 (define @t24 () (@var "BOUND_VARIABLE_7493" $$unsorted)) % 0.36/0.59 (define @t25 () (@var "BOUND_VARIABLE_7491" $$unsorted)) % 0.36/0.59 (define @t26 () (forall (@list @t25 @t24) (or (tptp.disjoint @t25 @t24) (not (forall @t14 (not (tptp.in @t12 (tptp.set_intersection2 @t25 @t24)))))))) % 0.36/0.59 (define @t27 () (@quantifiers_skolemize @t26 1)) % 0.36/0.59 (define @t28 () (@quantifiers_skolemize @t26 0)) % 0.36/0.59 (define @t29 () (tptp.set_intersection2 @t28 @t27)) % 0.36/0.59 (define @t30 () (forall @t14 (not (tptp.in @t12 @t29)))) % 0.36/0.59 (define @t31 () (not @t30)) % 0.36/0.59 (define @t32 () (tptp.disjoint @t28 @t27)) % 0.36/0.59 (define @t33 () (or @t32 @t31)) % 0.36/0.59 (define @t34 () (= @t32 (= @t29 tptp.empty_set))) % 0.36/0.59 (define @t35 () (= tptp.empty_set @t29)) % 0.36/0.59 (define @t36 () (= @t32 @t35)) % 0.36/0.59 (define @t37 () (@list false)) % 0.36/0.59 (define @t38 () (@list @t10)) % 0.36/0.59 (define @t39 () (not @t35)) % 0.36/0.59 (define @t40 () (@purify @t29)) % 0.36/0.59 (define @t41 () (forall @t6 (not (tptp.in @t2 @t40)))) % 0.36/0.59 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.36/0.59 (define @t43 () (tptp.in @t42 @t29)) % 0.36/0.59 (define @t44 () (not @t43)) % 0.36/0.59 (define @t45 () (= tptp.empty_set @t40)) % 0.36/0.59 (define @t46 () (not @t45)) % 0.36/0.59 (define @t47 () (= @t29 @t40)) % 0.36/0.59 (define @t48 () (not @t47)) % 0.36/0.59 (define @t49 () (and @t47 @t39)) % 0.36/0.59 (define @t50 () (tptp.in @t42 @t40)) % 0.36/0.59 (define @t51 () (not @t50)) % 0.36/0.59 (define @t52 () (and @t47 @t44)) % 0.36/0.59 (define @t53 () (= (= @t40 tptp.empty_set) @t41)) % 0.36/0.59 (define @t54 () (= @t41 @t45)) % 0.36/0.59 (define @t55 () (@list @t8)) % 0.36/0.59 (define @t56 () (not @t41)) % 0.36/0.59 (define @t57 () (not @t51)) % 0.36/0.59 (define @t58 () (not @t33)) % 0.36/0.59 (define @t59 () (not @t26)) % 0.36/0.59 (define @t60 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.36/0.59 (define @t61 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 0.36/0.59 (define @t62 () (not (tptp.disjoint @t61 @t60))) % 0.36/0.59 (define @t63 () (tptp.set_intersection2 @t61 @t60)) % 0.36/0.59 (define @t64 () (@var "BOUND_VARIABLE_7518" $$unsorted)) % 0.36/0.59 (define @t65 () (not (tptp.in @t64 @t63))) % 0.36/0.59 (define @t66 () (or @t65 @t62)) % 0.36/0.59 (define @t67 () (forall (@list @t61 @t60 @t64) @t66)) % 0.36/0.59 (define @t68 () (@list @t64)) % 0.36/0.59 (define @t69 () (forall @t68 @t66)) % 0.36/0.59 (define @t70 () (@list @t61 @t60)) % 0.36/0.59 (define @t71 () (forall @t68 @t65)) % 0.36/0.59 (define @t72 () (or @t71 @t62)) % 0.36/0.59 (define @t73 () (forall @t70 (or (forall @t14 (not (tptp.in @t12 @t63))) @t62))) % 0.36/0.59 (define @t74 () (or @t18 @t19)) % 0.36/0.59 (define @t75 () (forall @t4 @t74)) % 0.36/0.59 (define @t76 () (@list @t1 @t2)) % 0.36/0.59 (define @t77 () (not @t18)) % 0.36/0.59 (define @t78 () (or @t9 @t77)) % 0.36/0.59 (define @t79 () (forall @t4 @t78)) % 0.36/0.59 (define @t80 () (and @t79 @t75)) % 0.36/0.59 (define @t81 () (and @t20 (not (and @t77 @t9)))) % 0.36/0.59 (define @t82 () (not @t67)) % 0.36/0.59 (define @t83 () (@quantifiers_skolemize @t67 1)) % 0.36/0.59 (define @t84 () (@quantifiers_skolemize @t67 0)) % 0.36/0.59 (define @t85 () (tptp.disjoint @t84 @t83)) % 0.36/0.59 (define @t86 () (not @t85)) % 0.36/0.59 (define @t87 () (tptp.set_intersection2 @t84 @t83)) % 0.36/0.59 (define @t88 () (@quantifiers_skolemize @t67 2)) % 0.36/0.59 (define @t89 () (tptp.in @t88 @t87)) % 0.36/0.59 (define @t90 () (not @t89)) % 0.36/0.59 (define @t91 () (or @t90 @t86)) % 0.36/0.59 (define @t92 () (not @t91)) % 0.36/0.59 (define @t93 () (@list true)) % 0.36/0.59 (define @t94 () (@list @t91)) % 0.36/0.59 (define @t95 () (= @t85 (= @t87 tptp.empty_set))) % 0.36/0.59 (define @t96 () (= tptp.empty_set @t87)) % 0.36/0.59 (define @t97 () (= @t85 @t96)) % 0.36/0.59 (define @t98 () (forall @t6 (not (tptp.in @t2 tptp.empty_set)))) % 0.36/0.59 (define @t99 () (= (= tptp.empty_set tptp.empty_set) @t98)) % 0.36/0.59 (define @t100 () (tptp.in @t88 tptp.empty_set)) % 0.36/0.59 (define @t101 () (not @t96)) % 0.36/0.59 (define @t102 () (not @t100)) % 0.36/0.59 (define @t103 () (and @t102 @t96 @t89)) % 0.36/0.59 (assume @p1 (forall @t4 (=> (tptp.in @t1 @t2) @t3))) % 0.36/0.59 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 0.36/0.59 (assume @p3 @t8) % 0.36/0.59 (assume @p4 @t10) % 0.36/0.59 (assume @p5 true) % 0.36/0.59 (assume @p6 (tptp.empty tptp.empty_set)) % 0.36/0.59 (assume @p7 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.36/0.59 (assume @p8 (exists @t7 @t11)) % 0.36/0.59 (assume @p9 (exists @t7 (not @t11))) % 0.36/0.59 (assume @p10 (forall @t4 (=> @t9 (tptp.disjoint @t2 @t1)))) % 0.36/0.59 (assume @p11 @t23) % 0.36/0.59 (step @p12 :rule cnf_or_neg :args (@t33 0)) % 0.36/0.59 (step @p13 :rule bool-double-not-elim :args (@t30)) % 0.36/0.59 (step @p14 :rule refl :args (@t33)) % 0.36/0.59 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t33 (not @t31)))) % 0.36/0.59 (step @p16 :rule cnf_or_neg :args (@t33 1)) % 0.36/0.59 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.36/0.59 (step @p18 :rule reordering :premises (@p17) :args ((or @t30 @t33))) % 0.36/0.59 (step @p19 :rule eq-symm :args (@t29 tptp.empty_set)) % 0.36/0.59 (step @p20 :rule refl :args (@t32)) % 0.36/0.59 (step @p21 :rule cong :premises (@p20 @p19) :args (@t34)) % 0.36/0.59 (step @p22 :rule refl :args (@t10)) % 0.36/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t10 @t34))) % 0.36/0.59 (assume-push @p259 @t10) % 0.36/0.59 (step @p25 :rule instantiate :premises (@p4) :args ((@list @t28 @t27))) % 0.36/0.59 (step-pop @p260 :rule scope :premises (@p25)) % 0.36/0.59 (step @p26 :rule process_scope :premises (@p260) :args (@t34)) % 0.36/0.59 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.36/0.59 (step @p29 :rule implies_elim :premises (@p28)) % 0.36/0.59 (step @p30 :rule chain_m_resolution :premises (@p29 @p4) :args (@t36 @t37 @t38)) % 0.36/0.59 (step @p31 :rule cnf_equiv_pos2 :args (@t36)) % 0.36/0.59 (step @p32 :rule reordering :premises (@p31) :args ((or @t32 @t39 (not @t36)))) % 0.36/0.59 (assume-push @p261 @t30) % 0.36/0.59 (step @p34 :rule instantiate :premises (@p261) :args ((@list @t42))) % 0.36/0.59 (step-pop @p262 :rule scope :premises (@p34)) % 0.36/0.59 (step @p35 :rule process_scope :premises (@p262) :args (@t44)) % 0.36/0.59 (step @p37 :rule implies_elim :premises (@p35)) % 0.36/0.59 (step @p38 :rule skolem_intro :args (@t40)) % 0.36/0.59 (step @p39 :rule symm :premises (@p38)) % 0.36/0.59 (step @p40 :rule refl :args (@t46)) % 0.36/0.59 (step @p41 :rule bool-double-not-elim :args (@t35)) % 0.36/0.59 (step @p42 :rule refl :args (@t48)) % 0.36/0.59 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args ((or @t48 (not @t39) @t46))) % 0.36/0.59 (assume-push @p263 @t47) % 0.36/0.59 (assume-push @p264 @t39) % 0.36/0.59 (assume-push @p265 @t39) % 0.36/0.59 (assume-push @p266 @t47) % 0.36/0.59 (step @p48 :rule false_intro :premises (@p264)) % 0.36/0.59 (step @p49 :rule refl :args (tptp.empty_set)) % 0.36/0.59 (step @p50 :rule cong :premises (@p49 @p38) :args (@t45)) % 0.36/0.59 (step @p51 :rule trans :premises (@p50 @p48)) % 0.36/0.59 (step @p52 :rule false_elim :premises (@p51)) % 0.36/0.59 (step-pop @p267 :rule scope :premises (@p52)) % 0.36/0.59 (step-pop @p268 :rule scope :premises (@p267)) % 0.36/0.59 (step @p53 :rule process_scope :premises (@p268) :args (@t46)) % 0.36/0.59 (step @p56 :rule and_intro :premises (@p264 @p39)) % 0.36/0.59 (step @p57 :rule modus_ponens :premises (@p56 @p53)) % 0.36/0.59 (step-pop @p269 :rule scope :premises (@p57)) % 0.36/0.59 (step-pop @p270 :rule scope :premises (@p269)) % 0.36/0.59 (step @p58 :rule process_scope :premises (@p270) :args (@t46)) % 0.36/0.59 (step @p61 :rule implies_elim :premises (@p58)) % 0.36/0.59 (step @p62 :rule cnf_and_neg :args (@t49)) % 0.36/0.59 (step @p63 :rule resolution :premises (@p62 @p61) :args (true @t49)) % 0.36/0.59 (step @p64 :rule eq_resolve :premises (@p63 @p43)) % 0.36/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t35 @t48 @t46))) % 0.36/0.59 (step @p66 :rule refl :args (@t51)) % 0.36/0.59 (step @p67 :rule bool-double-not-elim :args (@t43)) % 0.36/0.59 (step @p68 :rule nary_cong :premises (@p42 @p67 @p66) :args ((or @t48 (not @t44) @t51))) % 0.36/0.59 (assume-push @p271 @t47) % 0.36/0.59 (assume-push @p272 @t44) % 0.36/0.59 (assume-push @p273 @t44) % 0.36/0.59 (assume-push @p274 @t47) % 0.36/0.59 (step @p73 :rule false_intro :premises (@p272)) % 0.36/0.59 (step @p74 :rule refl :args (@t42)) % 0.36/0.59 (step @p75 :rule cong :premises (@p74 @p38) :args (@t50)) % 0.36/0.59 (step @p76 :rule trans :premises (@p75 @p73)) % 0.36/0.59 (step @p77 :rule false_elim :premises (@p76)) % 0.36/0.59 (step-pop @p275 :rule scope :premises (@p77)) % 0.36/0.59 (step-pop @p276 :rule scope :premises (@p275)) % 0.36/0.59 (step @p78 :rule process_scope :premises (@p276) :args (@t51)) % 0.36/0.59 (step @p81 :rule and_intro :premises (@p272 @p39)) % 0.36/0.59 (step @p82 :rule modus_ponens :premises (@p81 @p78)) % 0.36/0.59 (step-pop @p277 :rule scope :premises (@p82)) % 0.36/0.59 (step-pop @p278 :rule scope :premises (@p277)) % 0.36/0.59 (step @p83 :rule process_scope :premises (@p278) :args (@t51)) % 0.36/0.59 (step @p86 :rule implies_elim :premises (@p83)) % 0.36/0.59 (step @p87 :rule cnf_and_neg :args (@t52)) % 0.36/0.59 (step @p88 :rule resolution :premises (@p87 @p86) :args (true @t52)) % 0.36/0.59 (step @p89 :rule eq_resolve :premises (@p88 @p68)) % 0.36/0.59 (step @p90 :rule reordering :premises (@p89) :args ((or @t48 @t51 @t43))) % 0.36/0.59 (step @p91 :rule eq-symm :args (@t45 @t41)) % 0.36/0.59 (step @p92 :rule refl :args (@t41)) % 0.36/0.59 (step @p93 :rule eq-symm :args (@t40 tptp.empty_set)) % 0.36/0.59 (step @p94 :rule cong :premises (@p93 @p92) :args (@t53)) % 0.36/0.59 (step @p95 :rule trans :premises (@p94 @p91)) % 0.36/0.59 (step @p96 :rule refl :args (@t8)) % 0.36/0.59 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t8 @t53))) % 0.36/0.59 (assume-push @p279 @t8) % 0.36/0.59 (step @p99 :rule instantiate :premises (@p3) :args ((@list @t40))) % 0.36/0.59 (step-pop @p280 :rule scope :premises (@p99)) % 0.36/0.59 (step @p100 :rule process_scope :premises (@p280) :args (@t53)) % 0.36/0.59 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.36/0.59 (step @p103 :rule implies_elim :premises (@p102)) % 0.36/0.59 (step @p104 :rule chain_m_resolution :premises (@p103 @p3) :args (@t54 @t37 @t55)) % 0.36/0.59 (step @p105 :rule cnf_equiv_pos1 :args (@t54)) % 0.36/0.59 (step @p106 :rule reordering :premises (@p105) :args ((or @t45 @t56 (not @t54)))) % 0.36/0.59 (step @p107 :rule refl :args (@t50)) % 0.36/0.59 (step @p108 :rule bool-double-not-elim :args (@t41)) % 0.36/0.59 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t56) @t50))) % 0.36/0.59 (step @p110 :rule bool-double-not-elim :args (@t50)) % 0.36/0.59 (step @p111 :rule refl :args (@t56)) % 0.36/0.59 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t56 @t57))) % 0.36/0.59 (assume-push @p281 @t56) % 0.36/0.59 (step @p114 :rule skolemize :premises (@p281)) % 0.36/0.59 (step-pop @p282 :rule scope :premises (@p114)) % 0.36/0.59 (step @p115 :rule process_scope :premises (@p282) :args (@t57)) % 0.36/0.59 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.36/0.59 (step @p118 :rule implies_elim :premises (@p117)) % 0.36/0.59 (step @p119 :rule eq_resolve :premises (@p118 @p109)) % 0.36/0.59 (step @p120 :rule chain_m_resolution :premises (@p119 @p106 @p104 @p90 @p39 @p65 @p39 @p37 @p32 @p30 @p18 @p12) :args (@t33 (@list true false true false true false true true false false true) (@list @t41 @t54 @t50 @t47 @t45 @t47 @t43 @t35 @t36 @t30 @t32))) % 0.36/0.59 (step @p121 :rule refl :args (@t58)) % 0.36/0.59 (step @p122 :rule bool-double-not-elim :args (@t26)) % 0.36/0.59 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t59) @t58))) % 0.36/0.59 (assume-push @p283 @t59) % 0.36/0.59 (step @p125 :rule skolemize :premises (@p283)) % 0.36/0.59 (step-pop @p284 :rule scope :premises (@p125)) % 0.36/0.59 (step @p126 :rule process_scope :premises (@p284) :args (@t58)) % 0.36/0.59 (step @p128 :rule implies_elim :premises (@p126)) % 0.36/0.59 (step @p129 :rule eq_resolve :premises (@p128 @p123)) % 0.36/0.59 (step @p130 :rule chain_m_resolution :premises (@p129 @p120) :args (@t26 @t37 (@list @t33))) % 0.36/0.59 (step @p131 :rule quant-merge-prenex :args ((= (forall @t70 @t69) @t67))) % 0.36/0.59 (step @p132 :rule refl :args (@t62)) % 0.36/0.59 (step @p133 :rule alpha_equiv :args (@t71 (@list @t64) (@list @t12))) % 0.36/0.59 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t72)) % 0.36/0.59 (step @p135 :rule quant-miniscope-or :args ((= @t69 @t72))) % 0.36/0.59 (step @p136 :rule trans :premises (@p135 @p134)) % 0.36/0.59 (step @p137 :rule symm :premises (@p136)) % 0.36/0.59 (step @p138 :rule cong :premises (@p137) :args (@t73)) % 0.36/0.59 (step @p139 :rule trans :premises (@p138 @p131)) % 0.36/0.59 (step @p140 :rule refl :args (@t26)) % 0.36/0.59 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((and @t26 @t73))) % 0.36/0.59 (step @p142 :rule alpha_equiv :args (@t75 @t76 (@list @t61 @t60))) % 0.36/0.59 (step @p143 :rule alpha_equiv :args (@t79 @t76 (@list @t25 @t24))) % 0.36/0.59 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t80)) % 0.36/0.59 (step @p145 :rule quant-miniscope-and :args ((= (forall @t4 (and @t78 @t74)) @t80))) % 0.36/0.59 (step @p146 :rule trans :premises (@p145 @p144)) % 0.36/0.59 (step @p147 :rule trans :premises (@p146 @p141)) % 0.36/0.59 (step @p148 :rule refl :args (@t19)) % 0.36/0.59 (step @p149 :rule bool-double-not-elim :args (@t18)) % 0.36/0.59 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t77) @t19))) % 0.36/0.59 (step @p151 :rule bool-and-de-morgan :args (@t77 @t9 true)) % 0.36/0.59 (step @p152 :rule trans :premises (@p151 @p150)) % 0.36/0.59 (step @p153 :rule refl :args (@t77)) % 0.36/0.59 (step @p154 :rule bool-double-not-elim :args (@t9)) % 0.36/0.59 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t19) @t77))) % 0.36/0.59 (step @p156 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.36/0.59 (step @p157 :rule trans :premises (@p156 @p155)) % 0.36/0.59 (step @p158 :rule nary_cong :premises (@p157 @p152) :args (@t81)) % 0.36/0.59 (step @p159 :rule cong :premises (@p158) :args ((forall @t4 @t81))) % 0.36/0.59 (step @p160 :rule trans :premises (@p159 @p147)) % 0.36/0.59 (step @p161 :rule refl :args (@t9)) % 0.36/0.59 (step @p162 :rule exists-elim :args ((= @t15 @t77))) % 0.36/0.59 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t16)) % 0.36/0.59 (step @p164 :rule cong :premises (@p163) :args (@t17)) % 0.36/0.59 (step @p165 :rule refl :args (@t20)) % 0.36/0.59 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t21)) % 0.36/0.59 (step @p167 :rule cong :premises (@p166) :args (@t22)) % 0.36/0.59 (step @p168 :rule trans :premises (@p167 @p160)) % 0.36/0.59 (step @p169 :rule cong :premises (@p168) :args (@t23)) % 0.36/0.59 (step @p170 :rule eq_resolve :premises (@p11 @p169)) % 0.36/0.59 (step @p171 :rule not_and :premises (@p170)) % 0.36/0.59 (step @p172 :rule chain_m_resolution :premises (@p171 @p130) :args (@t82 @t37 (@list @t26))) % 0.36/0.59 (step @p173 :rule refl :args (@t92)) % 0.36/0.59 (step @p174 :rule bool-double-not-elim :args (@t67)) % 0.36/0.59 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or (not @t82) @t92))) % 0.36/0.59 (assume-push @p285 @t82) % 0.36/0.59 (step @p177 :rule skolemize :premises (@p285)) % 0.36/0.59 (step-pop @p286 :rule scope :premises (@p177)) % 0.36/0.59 (step @p178 :rule process_scope :premises (@p286) :args (@t92)) % 0.36/0.59 (step @p180 :rule implies_elim :premises (@p178)) % 0.36/0.59 (step @p181 :rule eq_resolve :premises (@p180 @p175)) % 0.36/0.59 (step @p182 :rule chain_m_resolution :premises (@p181 @p172) :args (@t92 @t93 (@list @t67))) % 0.36/0.59 (step @p183 :rule bool-double-not-elim :args (@t89)) % 0.36/0.59 (step @p184 :rule refl :args (@t91)) % 0.36/0.59 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t91 (not @t90)))) % 0.36/0.59 (step @p186 :rule cnf_or_neg :args (@t91 0)) % 0.36/0.59 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 0.36/0.59 (step @p188 :rule reordering :premises (@p187) :args ((or @t89 @t91))) % 0.36/0.59 (step @p189 :rule chain_m_resolution :premises (@p188 @p182) :args (@t89 @t93 @t94)) % 0.36/0.59 (step @p190 :rule eq-symm :args (@t87 tptp.empty_set)) % 0.36/0.59 (step @p191 :rule refl :args (@t85)) % 0.36/0.59 (step @p192 :rule cong :premises (@p191 @p190) :args (@t95)) % 0.36/0.59 (step @p193 :rule cong :premises (@p22 @p192) :args ((=> @t10 @t95))) % 0.36/0.59 (assume-push @p287 @t10) % 0.36/0.59 (step @p195 :rule instantiate :premises (@p4) :args ((@list @t84 @t83))) % 0.36/0.59 (step-pop @p288 :rule scope :premises (@p195)) % 0.36/0.59 (step @p196 :rule process_scope :premises (@p288) :args (@t95)) % 0.36/0.59 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 0.36/0.59 (step @p199 :rule implies_elim :premises (@p198)) % 0.36/0.59 (step @p200 :rule chain_m_resolution :premises (@p199 @p4) :args (@t97 @t37 @t38)) % 0.36/0.59 (step @p201 :rule bool-double-not-elim :args (@t85)) % 0.36/0.59 (step @p202 :rule nary_cong :premises (@p184 @p201) :args ((or @t91 (not @t86)))) % 0.36/0.59 (step @p203 :rule cnf_or_neg :args (@t91 1)) % 0.36/0.59 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.36/0.59 (step @p205 :rule reordering :premises (@p204) :args ((or @t85 @t91))) % 0.36/0.59 (step @p206 :rule chain_m_resolution :premises (@p205 @p182) :args (@t85 @t93 @t94)) % 0.36/0.59 (step @p207 :rule cnf_equiv_pos1 :args (@t97)) % 0.36/0.59 (step @p208 :rule reordering :premises (@p207) :args ((or @t86 @t96 (not @t97)))) % 0.36/0.59 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p200) :args (@t96 (@list false false) (@list @t85 @t97))) % 0.36/0.59 (step @p210 :rule bool-eq-true :args (@t98)) % 0.36/0.59 (step @p211 :rule eq-symm :args (true @t98)) % 0.36/0.59 (step @p212 :rule trans :premises (@p211 @p210)) % 0.36/0.59 (step @p213 :rule refl :args (@t98)) % 0.36/0.59 (step @p214 :rule eq-refl :args (tptp.empty_set)) % 0.36/0.59 (step @p215 :rule cong :premises (@p214 @p213) :args (@t99)) % 0.36/0.59 (step @p216 :rule trans :premises (@p215 @p212)) % 0.36/0.59 (step @p217 :rule cong :premises (@p96 @p216) :args ((=> @t8 @t99))) % 0.36/0.59 (assume-push @p289 @t8) % 0.36/0.59 (step @p219 :rule instantiate :premises (@p3) :args ((@list tptp.empty_set))) % 0.36/0.59 (step-pop @p290 :rule scope :premises (@p219)) % 0.36/0.59 (step @p220 :rule process_scope :premises (@p290) :args (@t99)) % 0.36/0.59 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 0.36/0.59 (step @p223 :rule implies_elim :premises (@p222)) % 0.36/0.59 (step @p224 :rule chain_m_resolution :premises (@p223 @p3) :args (@t98 @t37 @t55)) % 0.36/0.59 (step @p225 :rule instantiate :premises (@p224) :args ((@list @t88))) % 0.36/0.59 (step @p226 :rule bool-double-not-elim :args (@t100)) % 0.36/0.59 (step @p227 :rule refl :args (@t101)) % 0.36/0.59 (step @p228 :rule refl :args (@t90)) % 0.36/0.59 (step @p229 :rule nary_cong :premises (@p228 @p227 @p226) :args ((or @t90 @t101 (not @t102)))) % 0.36/0.59 (assume-push @p291 @t102) % 0.36/0.59 (assume-push @p292 @t96) % 0.36/0.59 (assume-push @p293 @t89) % 0.36/0.59 (step @p233 :rule evaluate :args ((= true false))) % 0.36/0.59 (step @p234 :rule false_intro :premises (@p225)) % 0.36/0.59 (step @p235 :rule symm :premises (@p292)) % 0.36/0.59 (step @p236 :rule refl :args (@t88)) % 0.36/0.59 (step @p237 :rule cong :premises (@p236 @p235) :args (@t89)) % 0.36/0.59 (step @p238 :rule true_intro :premises (@p293)) % 0.36/0.59 (step @p239 :rule symm :premises (@p238)) % 0.36/0.59 (step @p240 :rule trans :premises (@p239 @p237 @p234)) % 0.36/0.59 (step @p241 false :rule eq_resolve :premises (@p240 @p233)) % 0.36/0.59 (step-pop @p294 :rule scope :premises (@p241)) % 0.36/0.59 (step-pop @p295 :rule scope :premises (@p294)) % 0.36/0.59 (step-pop @p296 :rule scope :premises (@p295)) % 0.36/0.59 (step @p242 :rule process_scope :premises (@p296) :args (false)) % 0.36/0.59 (assume-push @p297 @t89) % 0.36/0.59 (assume-push @p298 @t96) % 0.36/0.59 (assume-push @p299 @t102) % 0.36/0.59 (step @p249 :rule and_intro :premises (@p225 @p298 @p297)) % 0.36/0.59 (step-pop @p300 :rule scope :premises (@p249)) % 0.36/0.59 (step-pop @p301 :rule scope :premises (@p300)) % 0.36/0.59 (step-pop @p302 :rule scope :premises (@p301)) % 0.36/0.59 (step @p250 :rule process_scope :premises (@p302) :args (@t103)) % 0.36/0.59 (step @p254 :rule implies_elim :premises (@p250)) % 0.36/0.59 (step @p255 :rule resolution :premises (@p254 @p242) :args (true @t103)) % 0.36/0.59 (step @p256 :rule not_and :premises (@p255)) % 0.36/0.59 (step @p257 :rule eq_resolve :premises (@p256 @p229)) % 0.36/0.59 (step @p258 false :rule chain_m_resolution :premises (@p257 @p225 @p209 @p189) :args (false (@list true false false) (@list @t100 @t96 @t89))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------