%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN551+3 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:09:22 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN551+3 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n025.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:32:16 EDT 2026 % 0.19/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t3 () (= @t2 @t1)) % 0.38/0.58 (define @t4 () (= @t2 (tptp.g (tptp.f @t2)))) % 0.38/0.58 (define @t5 () (=> @t4 @t3)) % 0.38/0.58 (define @t6 () (@list @t2)) % 0.38/0.58 (define @t7 () (forall @t6 @t5)) % 0.38/0.58 (define @t8 () (= @t1 (tptp.g (tptp.f @t1)))) % 0.38/0.58 (define @t9 () (and @t8 @t7)) % 0.38/0.58 (define @t10 () (@list @t1)) % 0.38/0.58 (define @t11 () (exists @t10 @t9)) % 0.38/0.58 (define @t12 () (= @t2 (tptp.f (tptp.g @t2)))) % 0.38/0.58 (define @t13 () (=> @t12 @t3)) % 0.38/0.58 (define @t14 () (forall @t6 @t13)) % 0.38/0.58 (define @t15 () (= @t1 (tptp.f (tptp.g @t1)))) % 0.38/0.58 (define @t16 () (and @t15 @t14)) % 0.38/0.58 (define @t17 () (exists @t10 @t16)) % 0.38/0.58 (define @t18 () (= @t17 @t11)) % 0.38/0.58 (define @t19 () (not @t18)) % 0.38/0.58 (define @t20 () (= @t1 @t2)) % 0.38/0.58 (define @t21 () (not @t4)) % 0.38/0.58 (define @t22 () (forall @t6 (or @t21 @t20))) % 0.38/0.58 (define @t23 () (forall @t10 (or (not @t8) (not @t22)))) % 0.38/0.58 (define @t24 () (not @t12)) % 0.38/0.58 (define @t25 () (forall @t6 (or @t24 @t20))) % 0.38/0.58 (define @t26 () (forall @t10 (or (not @t15) (not @t25)))) % 0.38/0.58 (define @t27 () (not @t23)) % 0.38/0.58 (define @t28 () (not @t27)) % 0.38/0.58 (define @t29 () (not @t26)) % 0.38/0.58 (define @t30 () (not @t29)) % 0.38/0.58 (define @t31 () (and @t8 @t22)) % 0.38/0.58 (define @t32 () (forall @t10 (not @t31))) % 0.38/0.58 (define @t33 () (not @t32)) % 0.38/0.58 (define @t34 () (and @t15 @t25)) % 0.38/0.58 (define @t35 () (forall @t10 (not @t34))) % 0.38/0.58 (define @t36 () (not @t35)) % 0.38/0.58 (define @t37 () (@quantifiers_skolemize @t26 0)) % 0.38/0.58 (define @t38 () (forall @t6 (or @t24 (= @t2 @t37)))) % 0.38/0.58 (define @t39 () (not @t38)) % 0.38/0.58 (define @t40 () (tptp.g @t37)) % 0.38/0.58 (define @t41 () (tptp.f @t40)) % 0.38/0.58 (define @t42 () (= @t37 @t41)) % 0.38/0.58 (define @t43 () (not @t42)) % 0.38/0.58 (define @t44 () (or @t43 @t39)) % 0.38/0.58 (define @t45 () (not @t44)) % 0.38/0.58 (define @t46 () (or @t24 (= @t37 @t2))) % 0.38/0.58 (define @t47 () (forall @t6 @t46)) % 0.38/0.58 (define @t48 () (not @t47)) % 0.38/0.58 (define @t49 () (or @t43 @t48)) % 0.38/0.58 (define @t50 () (not @t49)) % 0.38/0.58 (define @t51 () (= @t40 (tptp.g @t41))) % 0.38/0.58 (define @t52 () (or @t21 (= @t40 @t2))) % 0.38/0.58 (define @t53 () (forall @t6 @t52)) % 0.38/0.58 (define @t54 () (not @t53)) % 0.38/0.58 (define @t55 () (not @t51)) % 0.38/0.58 (define @t56 () (or @t55 @t54)) % 0.38/0.58 (define @t57 () (forall @t6 (or @t21 (= @t2 @t40)))) % 0.38/0.58 (define @t58 () (not @t57)) % 0.38/0.58 (define @t59 () (or @t55 @t58)) % 0.38/0.58 (define @t60 () (@quantifiers_skolemize @t57 0)) % 0.38/0.58 (define @t61 () (= @t40 @t60)) % 0.38/0.58 (define @t62 () (tptp.f @t60)) % 0.38/0.58 (define @t63 () (tptp.g @t62)) % 0.38/0.58 (define @t64 () (= @t60 @t63)) % 0.38/0.58 (define @t65 () (not @t64)) % 0.38/0.58 (define @t66 () (or @t65 @t61)) % 0.38/0.58 (define @t67 () (not @t66)) % 0.38/0.58 (define @t68 () (or @t65 (= @t60 @t40))) % 0.38/0.58 (define @t69 () (not @t68)) % 0.38/0.58 (define @t70 () (= @t62 (tptp.f @t63))) % 0.38/0.58 (define @t71 () (not @t70)) % 0.38/0.58 (define @t72 () (or @t71 (= @t62 @t37))) % 0.38/0.58 (define @t73 () (= @t37 @t62)) % 0.38/0.58 (define @t74 () (or @t71 @t73)) % 0.38/0.58 (define @t75 () (and @t64 @t73)) % 0.38/0.58 (define @t76 () (@quantifiers_skolemize @t23 0)) % 0.38/0.58 (define @t77 () (tptp.f @t76)) % 0.38/0.58 (define @t78 () (or @t24 (= @t77 @t2))) % 0.38/0.58 (define @t79 () (forall @t6 @t78)) % 0.38/0.58 (define @t80 () (not @t79)) % 0.38/0.58 (define @t81 () (tptp.g @t77)) % 0.38/0.58 (define @t82 () (= @t77 (tptp.f @t81))) % 0.38/0.58 (define @t83 () (not @t82)) % 0.38/0.58 (define @t84 () (or @t83 @t80)) % 0.38/0.58 (define @t85 () (forall @t6 (or @t24 (= @t2 @t77)))) % 0.38/0.58 (define @t86 () (not @t85)) % 0.38/0.58 (define @t87 () (or @t83 @t86)) % 0.38/0.58 (define @t88 () (@list false)) % 0.38/0.58 (define @t89 () (@list @t26)) % 0.38/0.58 (define @t90 () (forall @t6 (or @t21 (= @t2 @t76)))) % 0.38/0.58 (define @t91 () (not @t90)) % 0.38/0.58 (define @t92 () (= @t76 @t81)) % 0.38/0.58 (define @t93 () (not @t92)) % 0.38/0.58 (define @t94 () (or @t93 @t91)) % 0.38/0.58 (define @t95 () (not @t94)) % 0.38/0.58 (define @t96 () (or @t21 (= @t76 @t2))) % 0.38/0.58 (define @t97 () (forall @t6 @t96)) % 0.38/0.58 (define @t98 () (not @t97)) % 0.38/0.58 (define @t99 () (or @t93 @t98)) % 0.38/0.58 (define @t100 () (not @t99)) % 0.38/0.58 (define @t101 () (@list true)) % 0.38/0.58 (define @t102 () (@list @t94)) % 0.38/0.58 (define @t103 () (@list false false)) % 0.38/0.58 (define @t104 () (@quantifiers_skolemize @t85 0)) % 0.38/0.58 (define @t105 () (= @t77 @t104)) % 0.38/0.58 (define @t106 () (tptp.g @t104)) % 0.38/0.58 (define @t107 () (tptp.f @t106)) % 0.38/0.58 (define @t108 () (= @t104 @t107)) % 0.38/0.58 (define @t109 () (not @t108)) % 0.38/0.58 (define @t110 () (or @t109 @t105)) % 0.38/0.58 (define @t111 () (not @t110)) % 0.38/0.58 (define @t112 () (or @t109 (= @t104 @t77))) % 0.38/0.58 (define @t113 () (not @t112)) % 0.38/0.58 (define @t114 () (@list @t110)) % 0.38/0.58 (define @t115 () (= @t106 (tptp.g @t107))) % 0.38/0.58 (define @t116 () (not @t115)) % 0.38/0.58 (define @t117 () (or @t116 (= @t106 @t76))) % 0.38/0.58 (define @t118 () (= @t76 @t106)) % 0.38/0.58 (define @t119 () (or @t116 @t118)) % 0.38/0.58 (define @t120 () (and @t108 @t118)) % 0.38/0.58 (assume @p1 @t19) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule bool-double-not-elim :args (@t23)) % 0.38/0.58 (step @p4 :rule bool-double-not-elim :args (@t26)) % 0.38/0.58 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t30 @t28))) % 0.38/0.58 (step @p6 :rule bool-and-de-morgan :args (@t8 @t22 true)) % 0.38/0.58 (step @p7 :rule cong :premises (@p6) :args (@t32)) % 0.38/0.58 (step @p8 :rule cong :premises (@p7) :args (@t33)) % 0.38/0.58 (step @p9 :rule exists-elim :args ((= (exists @t10 @t31) @t33))) % 0.38/0.58 (step @p10 :rule trans :premises (@p9 @p8)) % 0.38/0.58 (step @p11 :rule bool-impl-elim :args (@t4 @t20)) % 0.38/0.58 (step @p12 :rule cong :premises (@p11) :args ((forall @t6 (=> @t4 @t20)))) % 0.38/0.58 (step @p13 :rule eq-symm :args (@t2 @t1)) % 0.38/0.58 (step @p14 :rule refl :args (@t4)) % 0.38/0.58 (step @p15 :rule cong :premises (@p14 @p13) :args (@t5)) % 0.38/0.58 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.38/0.58 (step @p17 :rule trans :premises (@p16 @p12)) % 0.38/0.58 (step @p18 :rule refl :args (@t8)) % 0.38/0.58 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t9)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args (@t11)) % 0.38/0.58 (step @p21 :rule trans :premises (@p20 @p10)) % 0.38/0.58 (step @p22 :rule bool-and-de-morgan :args (@t15 @t25 true)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args (@t35)) % 0.38/0.58 (step @p24 :rule cong :premises (@p23) :args (@t36)) % 0.38/0.58 (step @p25 :rule exists-elim :args ((= (exists @t10 @t34) @t36))) % 0.38/0.58 (step @p26 :rule trans :premises (@p25 @p24)) % 0.38/0.58 (step @p27 :rule bool-impl-elim :args (@t12 @t20)) % 0.38/0.58 (step @p28 :rule cong :premises (@p27) :args ((forall @t6 (=> @t12 @t20)))) % 0.38/0.58 (step @p29 :rule refl :args (@t12)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29 @p13) :args (@t13)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t14)) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p28)) % 0.38/0.58 (step @p33 :rule refl :args (@t15)) % 0.38/0.58 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t16)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args (@t17)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p26)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36 @p21) :args (@t18)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37) :args (@t19)) % 0.38/0.58 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.38/0.58 (step @p40 :rule not_equiv_elim2 :premises (@p39)) % 0.38/0.58 (step @p41 :rule eq_resolve :premises (@p40 @p5)) % 0.38/0.58 (step @p42 :rule refl :args (@t45)) % 0.38/0.58 (step @p43 :rule nary_cong :premises (@p4 @p42) :args ((or @t30 @t45))) % 0.38/0.58 (step @p44 :rule eq-symm :args (@t37 @t2)) % 0.38/0.58 (step @p45 :rule refl :args (@t24)) % 0.38/0.58 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t46)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t47)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47) :args (@t48)) % 0.38/0.58 (step @p49 :rule refl :args (@t43)) % 0.38/0.58 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t49)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args (@t50)) % 0.38/0.58 (step @p52 :rule refl :args (@t29)) % 0.38/0.58 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t29 @t50))) % 0.38/0.58 (assume-push @p296 @t29) % 0.38/0.58 (step @p55 :rule skolemize :premises (@p296)) % 0.38/0.58 (step-pop @p297 :rule scope :premises (@p55)) % 0.38/0.58 (step @p56 :rule process_scope :premises (@p297) :args (@t50)) % 0.38/0.58 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.38/0.58 (step @p59 :rule implies_elim :premises (@p58)) % 0.38/0.58 (step @p60 :rule eq_resolve :premises (@p59 @p43)) % 0.38/0.58 (step @p61 :rule bool-double-not-elim :args (@t42)) % 0.38/0.58 (step @p62 :rule refl :args (@t44)) % 0.38/0.58 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t44 (not @t43)))) % 0.38/0.58 (step @p64 :rule cnf_or_neg :args (@t44 0)) % 0.38/0.58 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.38/0.58 (step @p66 :rule reordering :premises (@p65) :args ((or @t42 @t44))) % 0.38/0.58 (step @p67 :rule bool-double-not-elim :args (@t38)) % 0.38/0.58 (step @p68 :rule nary_cong :premises (@p62 @p67) :args ((or @t44 (not @t39)))) % 0.38/0.58 (step @p69 :rule cnf_or_neg :args (@t44 1)) % 0.38/0.58 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.38/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t38 @t44))) % 0.38/0.58 (assume-push @p298 @t42) % 0.38/0.58 (assume-push @p299 @t42) % 0.38/0.58 (step @p74 :rule cong :premises (@p298) :args (@t40)) % 0.38/0.58 (step-pop @p300 :rule scope :premises (@p74)) % 0.38/0.58 (step @p75 :rule process_scope :premises (@p300) :args (@t51)) % 0.38/0.58 (step @p77 :rule modus_ponens :premises (@p298 @p75)) % 0.38/0.58 (step-pop @p301 :rule scope :premises (@p77)) % 0.38/0.58 (step @p78 :rule process_scope :premises (@p301) :args (@t51)) % 0.38/0.58 (step @p80 :rule implies_elim :premises (@p78)) % 0.38/0.58 (step @p81 :rule eq-symm :args (@t40 @t2)) % 0.38/0.58 (step @p82 :rule refl :args (@t21)) % 0.38/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t52)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83) :args (@t53)) % 0.38/0.58 (step @p85 :rule cong :premises (@p84) :args (@t54)) % 0.38/0.58 (step @p86 :rule refl :args (@t55)) % 0.38/0.58 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t56)) % 0.38/0.58 (step @p88 :rule refl :args (@t23)) % 0.38/0.58 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t23 @t56))) % 0.38/0.58 (assume-push @p302 @t23) % 0.38/0.58 (step @p91 :rule instantiate :premises (@p302) :args ((@list @t40))) % 0.38/0.58 (step-pop @p303 :rule scope :premises (@p91)) % 0.38/0.58 (step @p92 :rule process_scope :premises (@p303) :args (@t56)) % 0.38/0.58 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 0.38/0.58 (step @p95 :rule implies_elim :premises (@p94)) % 0.38/0.58 (step @p96 :rule cnf_or_pos :args (@t59)) % 0.38/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t55 @t58 (not @t59)))) % 0.38/0.58 (step @p98 :rule refl :args (@t67)) % 0.38/0.58 (step @p99 :rule bool-double-not-elim :args (@t57)) % 0.38/0.58 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t58) @t67))) % 0.38/0.58 (step @p101 :rule eq-symm :args (@t60 @t40)) % 0.38/0.58 (step @p102 :rule refl :args (@t65)) % 0.38/0.58 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t68)) % 0.38/0.58 (step @p104 :rule cong :premises (@p103) :args (@t69)) % 0.38/0.58 (step @p105 :rule refl :args (@t58)) % 0.38/0.58 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t58 @t69))) % 0.38/0.58 (assume-push @p304 @t58) % 0.38/0.58 (step @p108 :rule skolemize :premises (@p304)) % 0.38/0.58 (step-pop @p305 :rule scope :premises (@p108)) % 0.38/0.58 (step @p109 :rule process_scope :premises (@p305) :args (@t69)) % 0.38/0.58 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.38/0.58 (step @p112 :rule implies_elim :premises (@p111)) % 0.38/0.58 (step @p113 :rule eq_resolve :premises (@p112 @p100)) % 0.38/0.58 (step @p114 :rule bool-double-not-elim :args (@t64)) % 0.38/0.58 (step @p115 :rule refl :args (@t66)) % 0.38/0.58 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t66 (not @t65)))) % 0.38/0.58 (step @p117 :rule cnf_or_neg :args (@t66 0)) % 0.38/0.58 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.38/0.58 (step @p119 :rule reordering :premises (@p118) :args ((or @t64 @t66))) % 0.38/0.58 (step @p120 :rule cnf_or_neg :args (@t66 1)) % 0.38/0.58 (assume-push @p306 @t64) % 0.38/0.58 (assume-push @p307 @t64) % 0.38/0.58 (step @p123 :rule cong :premises (@p306) :args (@t62)) % 0.38/0.58 (step-pop @p308 :rule scope :premises (@p123)) % 0.38/0.58 (step @p124 :rule process_scope :premises (@p308) :args (@t70)) % 0.38/0.58 (step @p126 :rule modus_ponens :premises (@p306 @p124)) % 0.38/0.58 (step-pop @p309 :rule scope :premises (@p126)) % 0.38/0.58 (step @p127 :rule process_scope :premises (@p309) :args (@t70)) % 0.38/0.58 (step @p129 :rule implies_elim :premises (@p127)) % 0.38/0.58 (step @p130 :rule eq-symm :args (@t62 @t37)) % 0.38/0.58 (step @p131 :rule refl :args (@t71)) % 0.38/0.58 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t72)) % 0.38/0.58 (step @p133 :rule refl :args (@t38)) % 0.38/0.58 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t38 @t72))) % 0.38/0.58 (assume-push @p310 @t38) % 0.38/0.58 (step @p136 :rule instantiate :premises (@p310) :args ((@list @t62))) % 0.38/0.58 (step-pop @p311 :rule scope :premises (@p136)) % 0.38/0.58 (step @p137 :rule process_scope :premises (@p311) :args (@t72)) % 0.38/0.58 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 0.38/0.58 (step @p140 :rule implies_elim :premises (@p139)) % 0.38/0.58 (step @p141 :rule cnf_or_pos :args (@t74)) % 0.38/0.58 (step @p142 :rule reordering :premises (@p141) :args ((or @t71 @t73 (not @t74)))) % 0.38/0.58 (assume-push @p312 @t64) % 0.38/0.58 (assume-push @p313 @t73) % 0.38/0.58 (assume-push @p314 @t64) % 0.38/0.58 (assume-push @p315 @t73) % 0.38/0.58 (step @p147 :rule symm :premises (@p312)) % 0.38/0.58 (step @p148 :rule cong :premises (@p313) :args (@t40)) % 0.38/0.58 (step @p149 :rule trans :premises (@p148 @p147)) % 0.38/0.58 (step-pop @p316 :rule scope :premises (@p149)) % 0.38/0.58 (step-pop @p317 :rule scope :premises (@p316)) % 0.38/0.58 (step @p150 :rule process_scope :premises (@p317) :args (@t61)) % 0.38/0.58 (step @p153 :rule and_intro :premises (@p312 @p313)) % 0.38/0.58 (step @p154 :rule modus_ponens :premises (@p153 @p150)) % 0.38/0.58 (step-pop @p318 :rule scope :premises (@p154)) % 0.38/0.58 (step-pop @p319 :rule scope :premises (@p318)) % 0.38/0.58 (step @p155 :rule process_scope :premises (@p319) :args (@t61)) % 0.38/0.58 (step @p158 :rule implies_elim :premises (@p155)) % 0.38/0.58 (step @p159 :rule cnf_and_neg :args (@t75)) % 0.38/0.58 (step @p160 :rule resolution :premises (@p159 @p158) :args (true @t75)) % 0.38/0.58 (step @p161 :rule reordering :premises (@p160) :args ((or @t65 @t61 (not @t73)))) % 0.38/0.58 (step @p162 :rule chain_m_resolution :premises (@p161 @p142 @p140 @p129 @p120 @p119 @p113 @p97 @p95 @p80 @p71 @p66 @p60 @p41) :args (@t26 (@list false false false true false true true false false false false true false) (@list @t73 @t74 @t70 @t61 @t64 @t66 @t57 @t59 @t51 @t38 @t42 @t44 @t23))) % 0.38/0.58 (step @p163 :rule eq-symm :args (@t77 @t2)) % 0.38/0.58 (step @p164 :rule nary_cong :premises (@p45 @p163) :args (@t78)) % 0.38/0.58 (step @p165 :rule cong :premises (@p164) :args (@t79)) % 0.38/0.58 (step @p166 :rule cong :premises (@p165) :args (@t80)) % 0.38/0.58 (step @p167 :rule refl :args (@t83)) % 0.38/0.58 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t84)) % 0.38/0.58 (step @p169 :rule refl :args (@t26)) % 0.38/0.58 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t26 @t84))) % 0.38/0.58 (assume-push @p320 @t26) % 0.38/0.58 (step @p172 :rule instantiate :premises (@p320) :args ((@list @t77))) % 0.38/0.58 (step-pop @p321 :rule scope :premises (@p172)) % 0.38/0.58 (step @p173 :rule process_scope :premises (@p321) :args (@t84)) % 0.38/0.58 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.38/0.58 (step @p176 :rule implies_elim :premises (@p175)) % 0.38/0.58 (step @p177 :rule chain_m_resolution :premises (@p176 @p162) :args (@t87 @t88 @t89)) % 0.38/0.58 (step @p178 :rule not_equiv_elim1 :premises (@p39)) % 0.38/0.58 (step @p179 :rule chain_m_resolution :premises (@p178 @p162) :args (@t27 @t88 @t89)) % 0.38/0.58 (step @p180 :rule refl :args (@t95)) % 0.38/0.58 (step @p181 :rule nary_cong :premises (@p3 @p180) :args ((or @t28 @t95))) % 0.38/0.58 (step @p182 :rule eq-symm :args (@t76 @t2)) % 0.38/0.58 (step @p183 :rule nary_cong :premises (@p82 @p182) :args (@t96)) % 0.38/0.58 (step @p184 :rule cong :premises (@p183) :args (@t97)) % 0.38/0.58 (step @p185 :rule cong :premises (@p184) :args (@t98)) % 0.38/0.58 (step @p186 :rule refl :args (@t93)) % 0.38/0.58 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t99)) % 0.38/0.58 (step @p188 :rule cong :premises (@p187) :args (@t100)) % 0.38/0.58 (step @p189 :rule refl :args (@t27)) % 0.38/0.58 (step @p190 :rule cong :premises (@p189 @p188) :args ((=> @t27 @t100))) % 0.38/0.58 (assume-push @p322 @t27) % 0.38/0.58 (step @p192 :rule skolemize :premises (@p322)) % 0.38/0.58 (step-pop @p323 :rule scope :premises (@p192)) % 0.38/0.58 (step @p193 :rule process_scope :premises (@p323) :args (@t100)) % 0.38/0.58 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 0.38/0.58 (step @p196 :rule implies_elim :premises (@p195)) % 0.38/0.58 (step @p197 :rule eq_resolve :premises (@p196 @p181)) % 0.38/0.58 (step @p198 :rule chain_m_resolution :premises (@p197 @p179) :args (@t95 @t101 (@list @t23))) % 0.38/0.58 (step @p199 :rule bool-double-not-elim :args (@t92)) % 0.38/0.58 (step @p200 :rule refl :args (@t94)) % 0.38/0.58 (step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or @t94 (not @t93)))) % 0.38/0.58 (step @p202 :rule cnf_or_neg :args (@t94 0)) % 0.38/0.58 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 0.38/0.58 (step @p204 :rule reordering :premises (@p203) :args ((or @t92 @t94))) % 0.38/0.58 (step @p205 :rule chain_m_resolution :premises (@p204 @p198) :args (@t92 @t101 @t102)) % 0.38/0.58 (assume-push @p324 @t92) % 0.38/0.58 (assume-push @p325 @t92) % 0.38/0.58 (step @p208 :rule cong :premises (@p324) :args (@t77)) % 0.38/0.58 (step-pop @p326 :rule scope :premises (@p208)) % 0.38/0.58 (step @p209 :rule process_scope :premises (@p326) :args (@t82)) % 0.38/0.58 (step @p211 :rule modus_ponens :premises (@p324 @p209)) % 0.38/0.58 (step-pop @p327 :rule scope :premises (@p211)) % 0.38/0.58 (step @p212 :rule process_scope :premises (@p327) :args (@t82)) % 0.38/0.58 (step @p214 :rule implies_elim :premises (@p212)) % 0.38/0.58 (step @p215 :rule chain_m_resolution :premises (@p214 @p205) :args (@t82 @t88 (@list @t92))) % 0.38/0.58 (step @p216 :rule cnf_or_pos :args (@t87)) % 0.38/0.58 (step @p217 :rule reordering :premises (@p216) :args ((or @t83 @t86 (not @t87)))) % 0.38/0.58 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p177) :args (@t86 @t103 (@list @t82 @t87))) % 0.38/0.58 (step @p219 :rule refl :args (@t111)) % 0.38/0.58 (step @p220 :rule bool-double-not-elim :args (@t85)) % 0.38/0.58 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or (not @t86) @t111))) % 0.38/0.58 (step @p222 :rule eq-symm :args (@t104 @t77)) % 0.38/0.58 (step @p223 :rule refl :args (@t109)) % 0.38/0.58 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t112)) % 0.38/0.58 (step @p225 :rule cong :premises (@p224) :args (@t113)) % 0.38/0.58 (step @p226 :rule refl :args (@t86)) % 0.38/0.58 (step @p227 :rule cong :premises (@p226 @p225) :args ((=> @t86 @t113))) % 0.38/0.58 (assume-push @p328 @t86) % 0.38/0.58 (step @p229 :rule skolemize :premises (@p328)) % 0.38/0.58 (step-pop @p329 :rule scope :premises (@p229)) % 0.38/0.58 (step @p230 :rule process_scope :premises (@p329) :args (@t113)) % 0.38/0.58 (step @p232 :rule eq_resolve :premises (@p230 @p227)) % 0.38/0.58 (step @p233 :rule implies_elim :premises (@p232)) % 0.38/0.58 (step @p234 :rule eq_resolve :premises (@p233 @p221)) % 0.38/0.58 (step @p235 :rule chain_m_resolution :premises (@p234 @p218) :args (@t111 @t101 (@list @t85))) % 0.38/0.58 (step @p236 :rule bool-double-not-elim :args (@t108)) % 0.38/0.58 (step @p237 :rule refl :args (@t110)) % 0.38/0.58 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t110 (not @t109)))) % 0.38/0.58 (step @p239 :rule cnf_or_neg :args (@t110 0)) % 0.38/0.58 (step @p240 :rule eq_resolve :premises (@p239 @p238)) % 0.38/0.58 (step @p241 :rule reordering :premises (@p240) :args ((or @t108 @t110))) % 0.38/0.58 (step @p242 :rule chain_m_resolution :premises (@p241 @p235) :args (@t108 @t101 @t114)) % 0.38/0.58 (step @p243 :rule cnf_or_neg :args (@t110 1)) % 0.38/0.58 (step @p244 :rule chain_m_resolution :premises (@p243 @p235) :args ((not @t105) @t101 @t114)) % 0.38/0.58 (step @p245 :rule bool-double-not-elim :args (@t90)) % 0.38/0.58 (step @p246 :rule nary_cong :premises (@p200 @p245) :args ((or @t94 (not @t91)))) % 0.38/0.58 (step @p247 :rule cnf_or_neg :args (@t94 1)) % 0.38/0.58 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 0.38/0.58 (step @p249 :rule reordering :premises (@p248) :args ((or @t90 @t94))) % 0.38/0.58 (step @p250 :rule chain_m_resolution :premises (@p249 @p198) :args (@t90 @t101 @t102)) % 0.38/0.58 (step @p251 :rule eq-symm :args (@t106 @t76)) % 0.38/0.58 (step @p252 :rule refl :args (@t116)) % 0.38/0.58 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t117)) % 0.38/0.58 (step @p254 :rule refl :args (@t90)) % 0.38/0.58 (step @p255 :rule cong :premises (@p254 @p253) :args ((=> @t90 @t117))) % 0.38/0.58 (assume-push @p330 @t90) % 0.38/0.58 (step @p257 :rule instantiate :premises (@p330) :args ((@list @t106))) % 0.38/0.58 (step-pop @p331 :rule scope :premises (@p257)) % 0.38/0.58 (step @p258 :rule process_scope :premises (@p331) :args (@t117)) % 0.38/0.58 (step @p260 :rule eq_resolve :premises (@p258 @p255)) % 0.38/0.58 (step @p261 :rule implies_elim :premises (@p260)) % 0.38/0.58 (step @p262 :rule chain_m_resolution :premises (@p261 @p250) :args (@t119 @t88 (@list @t90))) % 0.38/0.58 (assume-push @p332 @t108) % 0.38/0.58 (assume-push @p333 @t108) % 0.38/0.58 (step @p265 :rule cong :premises (@p332) :args (@t106)) % 0.38/0.58 (step-pop @p334 :rule scope :premises (@p265)) % 0.38/0.58 (step @p266 :rule process_scope :premises (@p334) :args (@t115)) % 0.38/0.58 (step @p268 :rule modus_ponens :premises (@p332 @p266)) % 0.38/0.58 (step-pop @p335 :rule scope :premises (@p268)) % 0.38/0.58 (step @p269 :rule process_scope :premises (@p335) :args (@t115)) % 0.38/0.58 (step @p271 :rule implies_elim :premises (@p269)) % 0.38/0.58 (step @p272 :rule chain_m_resolution :premises (@p271 @p242) :args (@t115 @t88 (@list @t108))) % 0.38/0.58 (step @p273 :rule cnf_or_pos :args (@t119)) % 0.38/0.58 (step @p274 :rule reordering :premises (@p273) :args ((or @t116 @t118 (not @t119)))) % 0.38/0.58 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p262) :args (@t118 @t103 (@list @t115 @t119))) % 0.38/0.58 (assume-push @p336 @t108) % 0.38/0.58 (assume-push @p337 @t118) % 0.38/0.58 (assume-push @p338 @t108) % 0.38/0.58 (assume-push @p339 @t118) % 0.38/0.58 (step @p280 :rule symm :premises (@p336)) % 0.38/0.58 (step @p281 :rule cong :premises (@p337) :args (@t77)) % 0.38/0.58 (step @p282 :rule trans :premises (@p281 @p280)) % 0.38/0.58 (step-pop @p340 :rule scope :premises (@p282)) % 0.38/0.58 (step-pop @p341 :rule scope :premises (@p340)) % 0.38/0.58 (step @p283 :rule process_scope :premises (@p341) :args (@t105)) % 0.38/0.58 (step @p286 :rule and_intro :premises (@p336 @p337)) % 0.38/0.58 (step @p287 :rule modus_ponens :premises (@p286 @p283)) % 0.38/0.58 (step-pop @p342 :rule scope :premises (@p287)) % 0.38/0.58 (step-pop @p343 :rule scope :premises (@p342)) % 0.38/0.58 (step @p288 :rule process_scope :premises (@p343) :args (@t105)) % 0.38/0.58 (step @p291 :rule implies_elim :premises (@p288)) % 0.38/0.58 (step @p292 :rule cnf_and_neg :args (@t120)) % 0.38/0.58 (step @p293 :rule resolution :premises (@p292 @p291) :args (true @t120)) % 0.38/0.58 (step @p294 :rule reordering :premises (@p293) :args ((or @t109 @t105 (not @t118)))) % 0.38/0.58 (step @p295 false :rule chain_m_resolution :premises (@p294 @p275 @p244 @p242) :args (false (@list false true false) (@list @t118 @t105 @t108))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------