%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU156+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 : n010.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 08:50:45 AM UTC 2026 % Result : Theorem 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU156+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:32:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.41/0.59 (define @t3 () (tptp.unordered_pair @t1 @t2)) % 0.41/0.59 (define @t4 () (@list @t1 @t2)) % 0.41/0.59 (define @t5 () (tptp.singleton @t1)) % 0.41/0.59 (define @t6 () (tptp.ordered_pair @t1 @t2)) % 0.41/0.59 (define @t7 () (tptp.empty @t1)) % 0.41/0.59 (define @t8 () (@list @t1)) % 0.41/0.59 (define @t9 () (@var "D" $$unsorted)) % 0.41/0.59 (define @t10 () (= @t1 @t9)) % 0.41/0.59 (define @t11 () (not @t10)) % 0.41/0.59 (define @t12 () (@var "C" $$unsorted)) % 0.41/0.59 (define @t13 () (= @t1 @t12)) % 0.41/0.59 (define @t14 () (not @t13)) % 0.41/0.59 (define @t15 () (= @t3 (tptp.unordered_pair @t12 @t9))) % 0.41/0.59 (define @t16 () (@list @t1 @t2 @t12 @t9)) % 0.41/0.59 (define @t17 () (forall @t16 (not (and @t15 @t14 @t11)))) % 0.41/0.59 (define @t18 () (and @t13 (= @t2 @t9))) % 0.41/0.59 (define @t19 () (= @t6 (tptp.ordered_pair @t12 @t9))) % 0.41/0.59 (define @t20 () (forall @t16 (=> @t19 @t18))) % 0.41/0.59 (define @t21 () (not @t20)) % 0.41/0.59 (define @t22 () (tptp.unordered_pair @t1 @t1)) % 0.41/0.59 (define @t23 () (forall @t8 (= @t22 @t5))) % 0.41/0.59 (define @t24 () (= @t1 @t2)) % 0.41/0.59 (define @t25 () (= @t5 (tptp.unordered_pair @t2 @t12))) % 0.41/0.59 (define @t26 () (@list @t1 @t2 @t12)) % 0.41/0.59 (define @t27 () (forall @t26 (=> @t25 @t24))) % 0.41/0.59 (define @t28 () (forall @t16 (or (not @t19) @t18))) % 0.41/0.59 (define @t29 () (@quantifiers_skolemize @t28 0)) % 0.41/0.59 (define @t30 () (@quantifiers_skolemize @t28 2)) % 0.41/0.59 (define @t31 () (not @t15)) % 0.41/0.59 (define @t32 () (not @t11)) % 0.41/0.59 (define @t33 () (not @t14)) % 0.41/0.59 (define @t34 () (or @t31 @t33 @t32)) % 0.41/0.59 (define @t35 () (tptp.unordered_pair @t30 @t30)) % 0.41/0.59 (define @t36 () (tptp.unordered_pair @t29 @t29)) % 0.41/0.59 (define @t37 () (not (= @t35 @t36))) % 0.41/0.59 (define @t38 () (= @t30 @t29)) % 0.41/0.59 (define @t39 () (or @t37 @t38 @t38)) % 0.41/0.59 (define @t40 () (forall @t16 (or @t31 @t13 @t10))) % 0.41/0.59 (define @t41 () (= @t29 @t30)) % 0.41/0.59 (define @t42 () (= @t36 @t35)) % 0.41/0.59 (define @t43 () (not @t42)) % 0.41/0.59 (define @t44 () (or @t43 @t41 @t41)) % 0.41/0.59 (define @t45 () (@list false)) % 0.41/0.59 (define @t46 () (@list @t40)) % 0.41/0.59 (define @t47 () (@quantifiers_skolemize @t28 3)) % 0.41/0.59 (define @t48 () (@quantifiers_skolemize @t28 1)) % 0.41/0.59 (define @t49 () (= @t48 @t47)) % 0.41/0.59 (define @t50 () (and @t41 @t49)) % 0.41/0.59 (define @t51 () (= (tptp.ordered_pair @t29 @t48) (tptp.ordered_pair @t30 @t47))) % 0.41/0.59 (define @t52 () (not @t51)) % 0.41/0.59 (define @t53 () (or @t52 @t50)) % 0.41/0.59 (define @t54 () (@list true)) % 0.41/0.59 (define @t55 () (@list @t53)) % 0.41/0.59 (define @t56 () (@list @t30 @t47)) % 0.41/0.59 (define @t57 () (@list @t29 @t48)) % 0.41/0.59 (define @t58 () (tptp.unordered_pair @t30 @t47)) % 0.41/0.59 (define @t59 () (tptp.singleton @t29)) % 0.41/0.59 (define @t60 () (tptp.unordered_pair @t29 @t48)) % 0.41/0.59 (define @t61 () (tptp.singleton @t30)) % 0.41/0.59 (define @t62 () (tptp.unordered_pair @t58 @t61)) % 0.41/0.59 (define @t63 () (tptp.unordered_pair @t60 @t59)) % 0.41/0.59 (define @t64 () (not (= @t62 @t63))) % 0.41/0.59 (define @t65 () (or @t64 (= @t58 @t60) (= @t58 @t59))) % 0.41/0.59 (define @t66 () (= @t59 @t58)) % 0.41/0.59 (define @t67 () (= @t60 @t58)) % 0.41/0.59 (define @t68 () (= @t63 @t62)) % 0.41/0.59 (define @t69 () (not @t68)) % 0.41/0.59 (define @t70 () (or @t69 @t67 @t66)) % 0.41/0.59 (define @t71 () (= @t60 @t61)) % 0.41/0.59 (define @t72 () (or @t69 @t67 @t71)) % 0.41/0.59 (define @t73 () (not @t66)) % 0.41/0.59 (define @t74 () (or @t73 @t41)) % 0.41/0.59 (define @t75 () (not @t71)) % 0.41/0.59 (define @t76 () (= @t61 @t35)) % 0.41/0.59 (define @t77 () (not @t76)) % 0.41/0.59 (define @t78 () (= @t59 @t36)) % 0.41/0.59 (define @t79 () (not @t78)) % 0.41/0.59 (define @t80 () (not @t41)) % 0.41/0.59 (define @t81 () (not @t67)) % 0.41/0.59 (define @t82 () (and @t78 @t42 @t76 @t71 @t66 @t81)) % 0.41/0.59 (define @t83 () (tptp.unordered_pair @t48 @t29)) % 0.41/0.59 (define @t84 () (= @t60 @t83)) % 0.41/0.59 (define @t85 () (tptp.unordered_pair @t47 @t30)) % 0.41/0.59 (define @t86 () (= @t58 @t85)) % 0.41/0.59 (define @t87 () (= @t83 @t85)) % 0.41/0.59 (define @t88 () (and @t84 @t86 @t67)) % 0.41/0.59 (define @t89 () (not (= @t85 @t83))) % 0.41/0.59 (define @t90 () (or @t89 (= @t47 @t48) (= @t47 @t29))) % 0.41/0.59 (define @t91 () (= @t29 @t47)) % 0.41/0.59 (define @t92 () (not @t87)) % 0.41/0.59 (define @t93 () (or @t92 @t49 @t91)) % 0.41/0.59 (define @t94 () (= @t48 @t30)) % 0.41/0.59 (define @t95 () (or @t92 @t49 @t94)) % 0.41/0.59 (define @t96 () (not @t94)) % 0.41/0.59 (define @t97 () (not @t91)) % 0.41/0.59 (define @t98 () (not @t49)) % 0.41/0.59 (define @t99 () (and @t41 @t98 @t91)) % 0.41/0.59 (define @t100 () (@list true false)) % 0.41/0.59 (define @t101 () (= @t59 @t61)) % 0.41/0.59 (define @t102 () (= (tptp.unordered_pair @t59 @t60) (tptp.unordered_pair @t61 @t58))) % 0.41/0.59 (define @t103 () (not @t102)) % 0.41/0.59 (define @t104 () (or @t103 @t101 @t66)) % 0.41/0.59 (define @t105 () (not @t101)) % 0.41/0.59 (define @t106 () (and @t78 @t76 @t43)) % 0.41/0.59 (assume @p1 (forall @t4 (= @t3 (tptp.unordered_pair @t2 @t1)))) % 0.41/0.59 (assume @p2 (forall @t4 (= @t6 (tptp.unordered_pair @t3 @t5)))) % 0.41/0.59 (assume @p3 true) % 0.41/0.59 (assume @p4 (forall @t4 (not (tptp.empty @t6)))) % 0.41/0.59 (assume @p5 (exists @t8 @t7)) % 0.41/0.59 (assume @p6 (exists @t8 (not @t7))) % 0.41/0.59 (assume @p7 (forall @t4 (tptp.subset @t1 @t1))) % 0.41/0.59 (assume @p8 @t17) % 0.41/0.59 (assume @p9 @t21) % 0.41/0.59 (assume @p10 @t23) % 0.41/0.59 (assume @p11 (forall @t4 (=> (tptp.subset @t5 (tptp.singleton @t2)) @t24))) % 0.41/0.59 (assume @p12 @t27) % 0.41/0.59 (assume @p13 (forall @t26 (=> @t25 (= @t2 @t12)))) % 0.41/0.59 (step @p14 :rule eq-symm :args (@t22 @t5)) % 0.41/0.59 (step @p15 :rule cong :premises (@p14) :args (@t23)) % 0.41/0.59 (step @p16 :rule eq_resolve :premises (@p10 @p15)) % 0.41/0.59 (step @p17 :rule instantiate :premises (@p16) :args ((@list @t29))) % 0.41/0.59 (step @p18 :rule instantiate :premises (@p16) :args ((@list @t30))) % 0.41/0.59 (step @p19 :rule bool-double-not-elim :args (@t10)) % 0.41/0.59 (step @p20 :rule bool-double-not-elim :args (@t13)) % 0.41/0.59 (step @p21 :rule refl :args (@t31)) % 0.41/0.59 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t34)) % 0.41/0.59 (step @p23 :rule aci_norm :args ((= (or @t31 (or @t33 @t32)) @t34))) % 0.41/0.59 (step @p24 :rule trans :premises (@p23 @p22)) % 0.41/0.59 (step @p25 :rule bool-and-de-morgan :args (@t14 @t11 true)) % 0.41/0.59 (step @p26 :rule nary_cong :premises (@p21 @p25) :args ((or @t31 (not (and @t14 @t11))))) % 0.41/0.59 (step @p27 :rule bool-and-de-morgan :args (@t15 @t14 (and @t11))) % 0.41/0.59 (step @p28 :rule trans :premises (@p27 @p26)) % 0.41/0.59 (step @p29 :rule trans :premises (@p28 @p24)) % 0.41/0.59 (step @p30 :rule cong :premises (@p29) :args (@t17)) % 0.41/0.59 (step @p31 :rule eq_resolve :premises (@p8 @p30)) % 0.41/0.59 (step @p32 :rule eq-symm :args (@t30 @t29)) % 0.41/0.59 (step @p33 :rule eq-symm :args (@t35 @t36)) % 0.41/0.59 (step @p34 :rule cong :premises (@p33) :args (@t37)) % 0.41/0.59 (step @p35 :rule nary_cong :premises (@p34 @p32 @p32) :args (@t39)) % 0.41/0.59 (step @p36 :rule refl :args (@t40)) % 0.41/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t40 @t39))) % 0.41/0.59 (assume-push @p268 @t40) % 0.41/0.59 (step @p39 :rule instantiate :premises (@p31) :args ((@list @t30 @t30 @t29 @t29))) % 0.41/0.59 (step-pop @p269 :rule scope :premises (@p39)) % 0.41/0.59 (step @p40 :rule process_scope :premises (@p269) :args (@t39)) % 0.41/0.59 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.41/0.59 (step @p43 :rule implies_elim :premises (@p42)) % 0.41/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p31) :args (@t44 @t45 @t46)) % 0.41/0.59 (step @p45 :rule bool-impl-elim :args (@t19 @t18)) % 0.41/0.59 (step @p46 :rule cong :premises (@p45) :args (@t20)) % 0.41/0.59 (step @p47 :rule cong :premises (@p46) :args (@t21)) % 0.41/0.59 (step @p48 :rule eq_resolve :premises (@p9 @p47)) % 0.41/0.59 (step @p49 :rule skolemize :premises (@p48)) % 0.41/0.59 (step @p50 :rule cnf_or_neg :args (@t53 1)) % 0.41/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p49) :args ((not @t50) @t54 @t55)) % 0.41/0.59 (step @p52 :rule cnf_and_neg :args (@t50)) % 0.41/0.59 (step @p53 :rule instantiate :premises (@p2) :args (@t56)) % 0.41/0.59 (step @p54 :rule bool-double-not-elim :args (@t51)) % 0.41/0.59 (step @p55 :rule refl :args (@t53)) % 0.41/0.59 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t53 (not @t52)))) % 0.41/0.59 (step @p57 :rule cnf_or_neg :args (@t53 0)) % 0.41/0.59 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.41/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t51 @t53))) % 0.41/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p49) :args (@t51 @t54 @t55)) % 0.41/0.59 (step @p61 :rule instantiate :premises (@p2) :args (@t57)) % 0.41/0.59 (step @p62 :rule symm :premises (@p61)) % 0.41/0.59 (step @p63 :rule trans :premises (@p62 @p60 @p53)) % 0.41/0.59 (step @p64 :rule eq-symm :args (@t58 @t59)) % 0.41/0.59 (step @p65 :rule eq-symm :args (@t58 @t60)) % 0.41/0.59 (step @p66 :rule eq-symm :args (@t62 @t63)) % 0.41/0.59 (step @p67 :rule cong :premises (@p66) :args (@t64)) % 0.41/0.59 (step @p68 :rule nary_cong :premises (@p67 @p65 @p64) :args (@t65)) % 0.41/0.59 (step @p69 :rule cong :premises (@p36 @p68) :args ((=> @t40 @t65))) % 0.41/0.59 (assume-push @p270 @t40) % 0.41/0.59 (step @p71 :rule instantiate :premises (@p31) :args ((@list @t58 @t61 @t60 @t59))) % 0.41/0.59 (step-pop @p271 :rule scope :premises (@p71)) % 0.41/0.59 (step @p72 :rule process_scope :premises (@p271) :args (@t65)) % 0.41/0.59 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.41/0.59 (step @p75 :rule implies_elim :premises (@p74)) % 0.41/0.59 (step @p76 :rule chain_m_resolution :premises (@p75 @p31) :args (@t70 @t45 @t46)) % 0.41/0.59 (step @p77 :rule cnf_or_pos :args (@t70)) % 0.41/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or @t66 @t67 @t69 (not @t70)))) % 0.41/0.59 (step @p79 :rule instantiate :premises (@p31) :args ((@list @t60 @t59 @t58 @t61))) % 0.41/0.59 (step @p80 :rule cnf_or_pos :args (@t72)) % 0.41/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t67 @t69 @t71 (not @t72)))) % 0.41/0.59 (step @p82 :rule bool-impl-elim :args (@t25 @t24)) % 0.41/0.59 (step @p83 :rule cong :premises (@p82) :args (@t27)) % 0.41/0.59 (step @p84 :rule eq_resolve :premises (@p12 @p83)) % 0.41/0.59 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t29 @t30 @t47))) % 0.41/0.59 (step @p86 :rule cnf_or_pos :args (@t74)) % 0.41/0.59 (step @p87 :rule reordering :premises (@p86) :args ((or @t41 @t73 (not @t74)))) % 0.41/0.59 (step @p88 :rule refl :args (@t75)) % 0.41/0.59 (step @p89 :rule bool-double-not-elim :args (@t67)) % 0.41/0.59 (step @p90 :rule refl :args (@t73)) % 0.41/0.59 (step @p91 :rule refl :args (@t77)) % 0.41/0.59 (step @p92 :rule refl :args (@t79)) % 0.41/0.59 (step @p93 :rule refl :args (@t80)) % 0.41/0.59 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90 @p89 @p88) :args ((or @t80 @t79 @t77 @t73 (not @t81) @t75))) % 0.41/0.59 (assume-push @p272 @t78) % 0.41/0.59 (assume-push @p273 @t42) % 0.41/0.59 (assume-push @p274 @t76) % 0.41/0.59 (assume-push @p275 @t71) % 0.41/0.59 (assume-push @p276 @t66) % 0.41/0.59 (assume-push @p277 @t81) % 0.41/0.59 (step @p101 :rule evaluate :args ((= false true))) % 0.41/0.59 (step @p102 :rule symm :premises (@p276)) % 0.41/0.59 (step @p103 :rule trans :premises (@p102 @p17)) % 0.41/0.59 (step @p104 :rule symm :premises (@p103)) % 0.41/0.59 (step @p105 :rule symm :premises (@p17)) % 0.41/0.59 (step @p106 :rule symm :premises (@p273)) % 0.41/0.59 (step @p107 :rule trans :premises (@p275 @p18 @p106 @p105)) % 0.41/0.59 (step @p108 :rule trans :premises (@p107 @p17 @p104)) % 0.41/0.59 (step @p109 :rule true_intro :premises (@p108)) % 0.41/0.59 (step @p110 :rule false_intro :premises (@p277)) % 0.41/0.59 (step @p111 :rule symm :premises (@p110)) % 0.41/0.59 (step @p112 :rule trans :premises (@p111 @p109)) % 0.41/0.59 (step @p113 false :rule eq_resolve :premises (@p112 @p101)) % 0.41/0.59 (step-pop @p278 :rule scope :premises (@p113)) % 0.41/0.59 (step-pop @p279 :rule scope :premises (@p278)) % 0.41/0.59 (step-pop @p280 :rule scope :premises (@p279)) % 0.41/0.59 (step-pop @p281 :rule scope :premises (@p280)) % 0.41/0.59 (step-pop @p282 :rule scope :premises (@p281)) % 0.41/0.59 (step-pop @p283 :rule scope :premises (@p282)) % 0.41/0.59 (step @p114 :rule process_scope :premises (@p283) :args (false)) % 0.41/0.59 (assume-push @p284 @t41) % 0.41/0.59 (assume-push @p285 @t78) % 0.41/0.59 (assume-push @p286 @t76) % 0.41/0.59 (assume-push @p287 @t66) % 0.41/0.59 (assume-push @p288 @t81) % 0.41/0.59 (assume-push @p289 @t71) % 0.41/0.59 (assume-push @p290 @t76) % 0.41/0.59 (assume-push @p291 @t41) % 0.41/0.59 (assume-push @p292 @t78) % 0.41/0.59 (step @p130 :rule cong :premises (@p284) :args (@t59)) % 0.41/0.59 (step @p105 :rule symm :premises (@p17)) % 0.41/0.59 (step @p131 :rule trans :premises (@p105 @p130 @p18)) % 0.41/0.59 (step-pop @p293 :rule scope :premises (@p131)) % 0.41/0.59 (step-pop @p294 :rule scope :premises (@p293)) % 0.41/0.59 (step-pop @p295 :rule scope :premises (@p294)) % 0.41/0.59 (step @p132 :rule process_scope :premises (@p295) :args (@t42)) % 0.41/0.59 (step @p136 :rule and_intro :premises (@p18 @p284 @p17)) % 0.41/0.59 (step @p137 :rule modus_ponens :premises (@p136 @p132)) % 0.41/0.59 (step @p138 :rule and_intro :premises (@p17 @p137 @p18 @p289 @p287 @p288)) % 0.41/0.59 (step-pop @p296 :rule scope :premises (@p138)) % 0.41/0.59 (step-pop @p297 :rule scope :premises (@p296)) % 0.41/0.59 (step-pop @p298 :rule scope :premises (@p297)) % 0.41/0.59 (step-pop @p299 :rule scope :premises (@p298)) % 0.41/0.59 (step-pop @p300 :rule scope :premises (@p299)) % 0.41/0.59 (step-pop @p301 :rule scope :premises (@p300)) % 0.41/0.59 (step @p139 :rule process_scope :premises (@p301) :args (@t82)) % 0.41/0.59 (step @p146 :rule implies_elim :premises (@p139)) % 0.41/0.59 (step @p147 :rule resolution :premises (@p146 @p114) :args (true @t82)) % 0.41/0.59 (step @p148 :rule not_and :premises (@p147)) % 0.41/0.59 (step @p149 :rule eq_resolve :premises (@p148 @p94)) % 0.41/0.59 (step @p150 :rule reordering :premises (@p149) :args ((or @t80 @t73 @t79 @t77 @t67 @t75))) % 0.41/0.59 (step @p151 :rule chain_m_resolution :premises (@p150 @p18 @p17 @p87 @p85 @p81 @p79 @p63 @p78 @p76 @p63) :args (@t67 (@list false false false false false false false false false false) (@list @t76 @t78 @t41 @t74 @t71 @t72 @t68 @t66 @t70 @t68))) % 0.41/0.59 (step @p152 :rule instantiate :premises (@p1) :args (@t56)) % 0.41/0.59 (step @p153 :rule instantiate :premises (@p1) :args (@t57)) % 0.41/0.59 (assume-push @p302 @t84) % 0.41/0.59 (assume-push @p303 @t86) % 0.41/0.59 (assume-push @p304 @t67) % 0.41/0.59 (assume-push @p305 @t86) % 0.41/0.59 (assume-push @p306 @t67) % 0.41/0.59 (assume-push @p307 @t84) % 0.41/0.59 (step @p160 :rule symm :premises (@p153)) % 0.41/0.59 (step @p161 :rule trans :premises (@p160 @p304 @p152)) % 0.41/0.59 (step-pop @p308 :rule scope :premises (@p161)) % 0.41/0.59 (step-pop @p309 :rule scope :premises (@p308)) % 0.41/0.59 (step-pop @p310 :rule scope :premises (@p309)) % 0.41/0.59 (step @p162 :rule process_scope :premises (@p310) :args (@t87)) % 0.41/0.59 (step @p166 :rule and_intro :premises (@p152 @p304 @p153)) % 0.41/0.59 (step @p167 :rule modus_ponens :premises (@p166 @p162)) % 0.41/0.59 (step-pop @p311 :rule scope :premises (@p167)) % 0.41/0.59 (step-pop @p312 :rule scope :premises (@p311)) % 0.41/0.59 (step-pop @p313 :rule scope :premises (@p312)) % 0.41/0.59 (step @p168 :rule process_scope :premises (@p313) :args (@t87)) % 0.41/0.59 (step @p172 :rule implies_elim :premises (@p168)) % 0.41/0.59 (step @p173 :rule cnf_and_neg :args (@t88)) % 0.41/0.59 (step @p174 :rule resolution :premises (@p173 @p172) :args (true @t88)) % 0.41/0.59 (step @p175 :rule chain_m_resolution :premises (@p174 @p153 @p152 @p151) :args (@t87 (@list false false false) (@list @t84 @t86 @t67))) % 0.41/0.59 (step @p176 :rule eq-symm :args (@t47 @t29)) % 0.41/0.59 (step @p177 :rule eq-symm :args (@t47 @t48)) % 0.41/0.59 (step @p178 :rule eq-symm :args (@t85 @t83)) % 0.41/0.59 (step @p179 :rule cong :premises (@p178) :args (@t89)) % 0.41/0.59 (step @p180 :rule nary_cong :premises (@p179 @p177 @p176) :args (@t90)) % 0.41/0.59 (step @p181 :rule cong :premises (@p36 @p180) :args ((=> @t40 @t90))) % 0.41/0.59 (assume-push @p314 @t40) % 0.41/0.59 (step @p183 :rule instantiate :premises (@p31) :args ((@list @t47 @t30 @t48 @t29))) % 0.41/0.59 (step-pop @p315 :rule scope :premises (@p183)) % 0.41/0.59 (step @p184 :rule process_scope :premises (@p315) :args (@t90)) % 0.41/0.59 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 0.41/0.59 (step @p187 :rule implies_elim :premises (@p186)) % 0.41/0.59 (step @p188 :rule chain_m_resolution :premises (@p187 @p31) :args (@t93 @t45 @t46)) % 0.41/0.59 (step @p189 :rule cnf_or_pos :args (@t93)) % 0.41/0.59 (step @p190 :rule reordering :premises (@p189) :args ((or @t49 @t91 @t92 (not @t93)))) % 0.41/0.59 (step @p191 :rule instantiate :premises (@p31) :args ((@list @t48 @t29 @t47 @t30))) % 0.41/0.59 (step @p192 :rule cnf_or_pos :args (@t95)) % 0.41/0.59 (step @p193 :rule reordering :premises (@p192) :args ((or @t49 @t94 @t92 (not @t95)))) % 0.41/0.59 (step @p194 :rule refl :args (@t96)) % 0.41/0.59 (step @p195 :rule refl :args (@t97)) % 0.41/0.59 (step @p196 :rule bool-double-not-elim :args (@t49)) % 0.41/0.59 (step @p197 :rule nary_cong :premises (@p93 @p196 @p195 @p194) :args ((or @t80 (not @t98) @t97 @t96))) % 0.41/0.59 (assume-push @p316 @t41) % 0.41/0.59 (assume-push @p317 @t98) % 0.41/0.59 (assume-push @p318 @t91) % 0.41/0.59 (assume-push @p319 @t98) % 0.41/0.59 (assume-push @p320 @t91) % 0.41/0.59 (assume-push @p321 @t41) % 0.41/0.59 (step @p204 :rule false_intro :premises (@p317)) % 0.41/0.59 (step @p205 :rule symm :premises (@p316)) % 0.41/0.59 (step @p206 :rule trans :premises (@p205 @p318)) % 0.41/0.59 (step @p207 :rule refl :args (@t48)) % 0.41/0.59 (step @p208 :rule cong :premises (@p207 @p206) :args (@t94)) % 0.41/0.59 (step @p209 :rule trans :premises (@p208 @p204)) % 0.41/0.59 (step @p210 :rule false_elim :premises (@p209)) % 0.41/0.59 (step-pop @p322 :rule scope :premises (@p210)) % 0.41/0.59 (step-pop @p323 :rule scope :premises (@p322)) % 0.41/0.59 (step-pop @p324 :rule scope :premises (@p323)) % 0.41/0.59 (step @p211 :rule process_scope :premises (@p324) :args (@t96)) % 0.41/0.59 (step @p215 :rule and_intro :premises (@p317 @p318 @p316)) % 0.41/0.59 (step @p216 :rule modus_ponens :premises (@p215 @p211)) % 0.41/0.59 (step-pop @p325 :rule scope :premises (@p216)) % 0.41/0.59 (step-pop @p326 :rule scope :premises (@p325)) % 0.41/0.59 (step-pop @p327 :rule scope :premises (@p326)) % 0.41/0.59 (step @p217 :rule process_scope :premises (@p327) :args (@t96)) % 0.41/0.59 (step @p221 :rule implies_elim :premises (@p217)) % 0.41/0.59 (step @p222 :rule cnf_and_neg :args (@t99)) % 0.41/0.59 (step @p223 :rule resolution :premises (@p222 @p221) :args (true @t99)) % 0.41/0.59 (step @p224 :rule eq_resolve :premises (@p223 @p197)) % 0.41/0.59 (step @p225 :rule reordering :premises (@p224) :args ((or @t49 @t80 @t96 @t97))) % 0.41/0.59 (step @p226 :rule chain_m_resolution :premises (@p225 @p193 @p191 @p175 @p190 @p188 @p175 @p52 @p51) :args (@t80 (@list false false false false false false true true) (@list @t94 @t95 @t87 @t91 @t93 @t87 @t49 @t50))) % 0.41/0.59 (step @p227 :rule cnf_or_pos :args (@t44)) % 0.41/0.59 (step @p228 :rule factoring :premises (@p227)) % 0.41/0.59 (step @p229 :rule reordering :premises (@p228) :args ((or @t41 @t43 (not @t44)))) % 0.41/0.59 (step @p230 :rule chain_m_resolution :premises (@p229 @p226 @p44) :args (@t43 @t100 (@list @t41 @t44))) % 0.41/0.59 (step @p231 :rule instantiate :premises (@p31) :args ((@list @t59 @t60 @t61 @t58))) % 0.41/0.59 (step @p232 :rule instantiate :premises (@p1) :args ((@list @t58 @t61))) % 0.41/0.59 (step @p233 :rule instantiate :premises (@p1) :args ((@list @t60 @t59))) % 0.41/0.59 (step @p234 :rule symm :premises (@p233)) % 0.41/0.59 (step @p235 :rule trans :premises (@p234 @p62 @p60 @p53 @p232)) % 0.41/0.59 (step @p236 :rule chain_m_resolution :premises (@p87 @p226 @p85) :args (@t73 @t100 (@list @t41 @t74))) % 0.41/0.59 (step @p237 :rule cnf_or_pos :args (@t104)) % 0.41/0.59 (step @p238 :rule reordering :premises (@p237) :args ((or @t66 @t103 @t101 (not @t104)))) % 0.41/0.59 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p235 @p231) :args (@t101 (@list true false false) (@list @t66 @t102 @t104))) % 0.41/0.59 (step @p240 :rule refl :args (@t105)) % 0.41/0.59 (step @p241 :rule bool-double-not-elim :args (@t42)) % 0.41/0.59 (step @p242 :rule nary_cong :premises (@p92 @p91 @p241 @p240) :args ((or @t79 @t77 (not @t43) @t105))) % 0.41/0.59 (assume-push @p328 @t78) % 0.41/0.59 (assume-push @p329 @t76) % 0.41/0.59 (assume-push @p330 @t43) % 0.41/0.59 (assume-push @p331 @t43) % 0.41/0.59 (assume-push @p332 @t78) % 0.41/0.59 (assume-push @p333 @t76) % 0.41/0.59 (step @p249 :rule false_intro :premises (@p330)) % 0.41/0.59 (step @p250 :rule cong :premises (@p17 @p18) :args (@t101)) % 0.41/0.59 (step @p251 :rule trans :premises (@p250 @p249)) % 0.41/0.59 (step @p252 :rule false_elim :premises (@p251)) % 0.41/0.59 (step-pop @p334 :rule scope :premises (@p252)) % 0.41/0.59 (step-pop @p335 :rule scope :premises (@p334)) % 0.41/0.59 (step-pop @p336 :rule scope :premises (@p335)) % 0.41/0.59 (step @p253 :rule process_scope :premises (@p336) :args (@t105)) % 0.41/0.59 (step @p257 :rule and_intro :premises (@p330 @p17 @p18)) % 0.41/0.59 (step @p258 :rule modus_ponens :premises (@p257 @p253)) % 0.41/0.59 (step-pop @p337 :rule scope :premises (@p258)) % 0.41/0.59 (step-pop @p338 :rule scope :premises (@p337)) % 0.41/0.59 (step-pop @p339 :rule scope :premises (@p338)) % 0.41/0.59 (step @p259 :rule process_scope :premises (@p339) :args (@t105)) % 0.41/0.59 (step @p263 :rule implies_elim :premises (@p259)) % 0.41/0.59 (step @p264 :rule cnf_and_neg :args (@t106)) % 0.41/0.59 (step @p265 :rule resolution :premises (@p264 @p263) :args (true @t106)) % 0.41/0.59 (step @p266 :rule eq_resolve :premises (@p265 @p242)) % 0.41/0.59 (step @p267 false :rule chain_m_resolution :premises (@p266 @p239 @p230 @p18 @p17) :args (false (@list false true false false) (@list @t101 @t42 @t76 @t78))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------