%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU854^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:53:25 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU854^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:56:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort tptp.a 0) % 0.38/0.57 (define @t1 () (@var "U" (-> tptp.a Bool))) % 0.38/0.57 (define @t2 () (@var "Xz" tptp.a)) % 0.38/0.57 (define @t3 () (@var "T" (-> tptp.a Bool))) % 0.38/0.57 (define @t4 () (_ @t3 @t2)) % 0.38/0.57 (define @t5 () (@var "S" (-> tptp.a Bool))) % 0.38/0.57 (define @t6 () (_ @t5 @t2)) % 0.38/0.57 (define @t7 () (not @t6)) % 0.38/0.57 (define @t8 () (_ @t1 @t2)) % 0.38/0.57 (define @t9 () (and @t8 @t7)) % 0.38/0.57 (define @t10 () (or @t9 @t4)) % 0.38/0.57 (define @t11 () (@list @t2)) % 0.38/0.57 (define @t12 () (lambda @t11 @t10)) % 0.38/0.57 (define @t13 () (@var "Xx" tptp.a)) % 0.38/0.57 (define @t14 () (_ @t3 @t13)) % 0.38/0.57 (define @t15 () (_ @t5 @t13)) % 0.38/0.57 (define @t16 () (@list @t13)) % 0.38/0.57 (define @t17 () (forall @t16 (=> @t15 @t14))) % 0.38/0.57 (define @t18 () (= @t17 (= @t12 @t1))) % 0.38/0.57 (define @t19 () (_ @t1 @t13)) % 0.38/0.57 (define @t20 () (forall @t16 (=> @t14 @t19))) % 0.38/0.57 (define @t21 () (forall @t16 (=> @t15 @t19))) % 0.38/0.57 (define @t22 () (and @t21 @t20)) % 0.38/0.57 (define @t23 () (=> @t22 @t18)) % 0.38/0.57 (define @t24 () (@list @t5 @t3 @t1)) % 0.38/0.57 (define @t25 () (forall @t24 @t23)) % 0.38/0.57 (define @t26 () (not @t25)) % 0.38/0.57 (define @t27 () (_ @t3 @t2)) % 0.38/0.57 (define @t28 () (_ @t5 @t2)) % 0.38/0.57 (define @t29 () (_ @t1 @t2)) % 0.38/0.57 (define @t30 () (= @t1 @t12)) % 0.38/0.57 (define @t31 () (_ @t3 @t13)) % 0.38/0.57 (define @t32 () (_ @t5 @t13)) % 0.38/0.57 (define @t33 () (not @t32)) % 0.38/0.57 (define @t34 () (forall @t16 (or @t33 @t31))) % 0.38/0.57 (define @t35 () (= @t34 @t30)) % 0.38/0.57 (define @t36 () (_ @t1 @t13)) % 0.38/0.57 (define @t37 () (forall @t16 (or (not @t31) @t36))) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (forall @t16 (or @t33 @t36))) % 0.38/0.57 (define @t40 () (not @t39)) % 0.38/0.57 (define @t41 () (or @t40 @t38 @t35)) % 0.38/0.57 (define @t42 () (and @t39 @t37)) % 0.38/0.57 (define @t43 () (not @t15)) % 0.38/0.57 (define @t44 () (or @t43 @t14)) % 0.38/0.57 (define @t45 () (not @t14)) % 0.38/0.57 (define @t46 () (or @t45 @t19)) % 0.38/0.57 (define @t47 () (or @t43 @t19)) % 0.38/0.57 (define @t48 () (forall @t24 (or @t40 @t38 (= @t34 (= @t1 (lambda @t11 (or (and @t29 (not @t28)) @t27))))))) % 0.38/0.57 (define @t49 () (@quantifiers_skolemize @t48 1)) % 0.38/0.57 (define @t50 () (@quantifiers_skolemize @t48 0)) % 0.38/0.57 (define @t51 () (@quantifiers_skolemize @t48 2)) % 0.38/0.57 (define @t52 () (or (and (_ @t51 @t2) (not (_ @t50 @t2))) (_ @t49 @t2))) % 0.38/0.57 (define @t53 () (lambda @t11 @t52)) % 0.38/0.57 (define @t54 () (@purify @t53)) % 0.38/0.57 (define @t55 () (= @t51 @t54)) % 0.38/0.57 (define @t56 () (_ @t49 @t13)) % 0.38/0.57 (define @t57 () (not (_ @t50 @t13))) % 0.38/0.57 (define @t58 () (forall @t16 (or @t57 @t56))) % 0.38/0.57 (define @t59 () (= @t58 @t55)) % 0.38/0.57 (define @t60 () (_ @t51 @t13)) % 0.38/0.57 (define @t61 () (forall @t16 (or (not @t56) @t60))) % 0.38/0.57 (define @t62 () (not @t61)) % 0.38/0.57 (define @t63 () (forall @t16 (or @t57 @t60))) % 0.38/0.57 (define @t64 () (not @t63)) % 0.38/0.57 (define @t65 () (or @t64 @t62 @t59)) % 0.38/0.57 (define @t66 () (not @t65)) % 0.38/0.57 (define @t67 () (not @t48)) % 0.38/0.57 (define @t68 () (= @t51 @t53)) % 0.38/0.57 (define @t69 () (= @t58 @t68)) % 0.38/0.57 (define @t70 () (or @t64 @t62 @t69)) % 0.38/0.57 (define @t71 () (not @t70)) % 0.38/0.57 (define @t72 () (@list true)) % 0.38/0.57 (define @t73 () (@list @t65)) % 0.38/0.57 (define @t74 () (@const 0 tptp.a)) % 0.38/0.57 (define @t75 () (@list @t74)) % 0.38/0.57 (define @t76 () (_ @t49 @t74)) % 0.38/0.57 (define @t77 () (_ @t50 @t74)) % 0.38/0.57 (define @t78 () (not @t77)) % 0.38/0.57 (define @t79 () (or @t78 @t76)) % 0.38/0.57 (define @t80 () (_ @t51 @t74)) % 0.38/0.57 (define @t81 () (and @t80 @t78)) % 0.38/0.57 (define @t82 () (or @t81 @t76)) % 0.38/0.57 (define @t83 () (= (_ @t53 @t74) @t82)) % 0.38/0.57 (define @t84 () (_ @t54 @t74)) % 0.38/0.57 (define @t85 () (= @t80 @t84)) % 0.38/0.57 (define @t86 () (not @t85)) % 0.38/0.57 (define @t87 () (or @t55 @t86)) % 0.38/0.57 (define @t88 () (= @t80 @t82)) % 0.38/0.57 (define @t89 () (not @t80)) % 0.38/0.57 (define @t90 () (not @t79)) % 0.38/0.57 (define @t91 () (not @t76)) % 0.38/0.57 (define @t92 () (or @t91 @t80)) % 0.38/0.57 (define @t93 () (not @t58)) % 0.38/0.57 (define @t94 () (@list true true)) % 0.38/0.57 (define @t95 () (@quantifiers_skolemize @t58 0)) % 0.38/0.57 (define @t96 () (@list @t95)) % 0.38/0.57 (define @t97 () (_ @t49 @t95)) % 0.38/0.57 (define @t98 () (_ @t50 @t95)) % 0.38/0.57 (define @t99 () (not @t98)) % 0.38/0.57 (define @t100 () (or @t99 @t97)) % 0.38/0.57 (define @t101 () (not @t100)) % 0.38/0.57 (define @t102 () (@list @t100)) % 0.38/0.57 (define @t103 () (_ @t51 @t95)) % 0.38/0.57 (define @t104 () (or @t99 @t103)) % 0.38/0.57 (define @t105 () (_ @t54 @t2)) % 0.38/0.57 (define @t106 () (_ @t53 @t2)) % 0.38/0.57 (define @t107 () (= @t105 @t106)) % 0.38/0.57 (define @t108 () (forall @t11 @t107)) % 0.38/0.57 (define @t109 () (and @t103 @t99)) % 0.38/0.57 (define @t110 () (not @t109)) % 0.38/0.57 (define @t111 () (or @t109 @t97)) % 0.38/0.57 (define @t112 () (not @t111)) % 0.38/0.57 (define @t113 () (_ @t54 @t95)) % 0.38/0.57 (define @t114 () (= @t111 @t113)) % 0.38/0.57 (define @t115 () (not @t113)) % 0.38/0.57 (define @t116 () (and @t55 @t103)) % 0.38/0.57 (assume @p1 @t26) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule refl :args (@t27)) % 0.38/0.57 (step @p4 :rule refl :args (@t4)) % 0.38/0.57 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t27))) % 0.38/0.57 (step @p6 :rule symm :premises (@p5)) % 0.38/0.57 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.57 (step @p8 :rule refl :args (@t28)) % 0.38/0.57 (step @p9 :rule refl :args (@t6)) % 0.38/0.57 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t6 @t28))) % 0.38/0.57 (step @p11 :rule symm :premises (@p10)) % 0.38/0.57 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args (@t7)) % 0.38/0.57 (step @p14 :rule refl :args (@t29)) % 0.38/0.57 (step @p15 :rule refl :args (@t8)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t8 @t29))) % 0.38/0.57 (step @p17 :rule symm :premises (@p16)) % 0.38/0.57 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.38/0.57 (step @p19 :rule nary_cong :premises (@p18 @p13) :args (@t9)) % 0.38/0.57 (step @p20 :rule nary_cong :premises (@p19 @p7) :args (@t10)) % 0.38/0.57 (step @p21 :rule cong :premises (@p20) :args (@t12)) % 0.38/0.57 (step @p22 :rule refl :args (@t1)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args (@t30)) % 0.38/0.57 (step @p24 :rule refl :args (@t34)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t35)) % 0.38/0.57 (step @p26 :rule refl :args (@t38)) % 0.38/0.57 (step @p27 :rule refl :args (@t40)) % 0.38/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t41)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args ((forall @t24 @t41))) % 0.38/0.57 (step @p30 :rule aci_norm :args ((= (or (or @t40 @t38) @t35) @t41))) % 0.38/0.57 (step @p31 :rule refl :args (@t35)) % 0.38/0.57 (step @p32 :rule bool-and-de-morgan :args (@t39 @t37 true)) % 0.38/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t42) @t35))) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p30)) % 0.38/0.57 (step @p35 :rule bool-impl-elim :args (@t42 @t35)) % 0.38/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36) :args ((forall @t24 (=> @t42 @t35)))) % 0.38/0.57 (step @p38 :rule trans :premises (@p37 @p29)) % 0.38/0.57 (step @p39 :rule eq-symm :args (@t12 @t1)) % 0.38/0.57 (step @p40 :rule refl :args (@t31)) % 0.38/0.57 (step @p41 :rule refl :args (@t14)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t14 @t31))) % 0.38/0.57 (step @p43 :rule symm :premises (@p42)) % 0.38/0.57 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.38/0.57 (step @p45 :rule refl :args (@t32)) % 0.38/0.57 (step @p46 :rule refl :args (@t15)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t15 @t32))) % 0.38/0.57 (step @p48 :rule symm :premises (@p47)) % 0.38/0.57 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t43)) % 0.38/0.57 (step @p51 :rule nary_cong :premises (@p50 @p44) :args (@t44)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args ((forall @t16 @t44))) % 0.38/0.57 (step @p53 :rule bool-impl-elim :args (@t15 @t14)) % 0.38/0.57 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 0.38/0.57 (step @p55 :rule trans :premises (@p54 @p52)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55 @p39) :args (@t18)) % 0.38/0.57 (step @p57 :rule refl :args (@t36)) % 0.38/0.57 (step @p58 :rule refl :args (@t19)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t19 @t36))) % 0.38/0.57 (step @p60 :rule symm :premises (@p59)) % 0.38/0.57 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.38/0.57 (step @p62 :rule cong :premises (@p44) :args (@t45)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t46)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t16 @t46))) % 0.38/0.57 (step @p65 :rule bool-impl-elim :args (@t14 @t19)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t20)) % 0.38/0.57 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.57 (step @p68 :rule nary_cong :premises (@p50 @p61) :args (@t47)) % 0.38/0.57 (step @p69 :rule cong :premises (@p68) :args ((forall @t16 @t47))) % 0.38/0.57 (step @p70 :rule bool-impl-elim :args (@t15 @t19)) % 0.38/0.57 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 0.38/0.57 (step @p72 :rule trans :premises (@p71 @p69)) % 0.38/0.57 (step @p73 :rule nary_cong :premises (@p72 @p67) :args (@t22)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73 @p56) :args (@t23)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74) :args (@t25)) % 0.38/0.57 (step @p76 :rule trans :premises (@p75 @p38)) % 0.38/0.57 (step @p77 :rule cong :premises (@p76) :args (@t26)) % 0.38/0.57 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.38/0.57 (step @p79 :rule refl :args (@t66)) % 0.38/0.57 (step @p80 :rule bool-double-not-elim :args (@t48)) % 0.38/0.57 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t67) @t66))) % 0.38/0.57 (step @p82 :rule eq-refl :args (@t53)) % 0.38/0.57 (step @p83 :rule skolem_intro :args (@t54)) % 0.38/0.57 (step @p84 :rule refl :args (@t53)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t53 @t54))) % 0.38/0.57 (step @p86 :rule trans :premises (@p85 @p82)) % 0.38/0.57 (step @p87 :rule true_elim :premises (@p86)) % 0.38/0.57 (step @p88 :rule refl :args (@t51)) % 0.38/0.57 (step @p89 :rule cong :premises (@p88 @p87) :args (@t68)) % 0.38/0.57 (step @p90 :rule refl :args (@t58)) % 0.38/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args (@t69)) % 0.38/0.57 (step @p92 :rule refl :args (@t62)) % 0.38/0.57 (step @p93 :rule refl :args (@t64)) % 0.38/0.57 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t70)) % 0.38/0.57 (step @p95 :rule cong :premises (@p94) :args (@t71)) % 0.38/0.57 (step @p96 :rule refl :args (@t67)) % 0.38/0.57 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t67 @t71))) % 0.38/0.57 (assume-push @p244 @t67) % 0.38/0.57 (step @p99 :rule skolemize :premises (@p78)) % 0.38/0.57 (step-pop @p245 :rule scope :premises (@p99)) % 0.38/0.57 (step @p100 :rule process_scope :premises (@p245) :args (@t71)) % 0.38/0.57 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.38/0.57 (step @p103 :rule implies_elim :premises (@p102)) % 0.38/0.57 (step @p104 :rule eq_resolve :premises (@p103 @p81)) % 0.38/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p78) :args (@t66 @t72 (@list @t48))) % 0.38/0.57 (step @p106 :rule cnf_or_neg :args (@t65 2)) % 0.38/0.57 (step @p107 :rule chain_m_resolution :premises (@p106 @p105) :args ((not @t59) @t72 @t73)) % 0.38/0.57 (step @p108 :rule cnf_equiv_neg2 :args (@t59)) % 0.38/0.57 (assume-push @p246 @t58) % 0.38/0.57 (step @p110 :rule instantiate :premises (@p246) :args (@t75)) % 0.38/0.57 (step-pop @p247 :rule scope :premises (@p110)) % 0.38/0.57 (step @p111 :rule process_scope :premises (@p247) :args (@t79)) % 0.38/0.57 (step @p113 :rule implies_elim :premises (@p111)) % 0.38/0.57 (step @p114 :rule eq-refl :args (@t82)) % 0.38/0.57 (step @p115 :rule refl :args (@t82)) % 0.38/0.57 (step @p116 :rule beta-reduce :args (@t83)) % 0.38/0.57 (step @p117 :rule cong :premises (@p116 @p115) :args (@t83)) % 0.38/0.57 (step @p118 :rule trans :premises (@p117 @p114)) % 0.38/0.57 (step @p119 :rule refl :args (@t74)) % 0.38/0.57 (step @p120 :rule ho_cong :premises (@p83 @p119)) % 0.38/0.57 (step @p121 :rule cong :premises (@p120 @p115) :args ((= @t84 @t82))) % 0.38/0.57 (step @p122 :rule trans :premises (@p121 @p118)) % 0.38/0.57 (step @p123 :rule true_elim :premises (@p122)) % 0.38/0.57 (step @p124 :rule refl :args (@t80)) % 0.38/0.57 (step @p125 :rule cong :premises (@p124 @p123) :args (@t85)) % 0.38/0.57 (step @p126 :rule cong :premises (@p125) :args (@t86)) % 0.38/0.57 (step @p127 :rule refl :args (@t55)) % 0.38/0.57 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t87)) % 0.38/0.57 ; WARNING: add trust step for TRUST % 0.38/0.57 ; trust TRUST THEORY_LEMMA % 0.38/0.57 (step @p129 :rule trust :premises () :args (@t87)) % 0.38/0.57 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.38/0.57 (step @p131 :rule cnf_equiv_neg2 :args (@t88)) % 0.38/0.57 (step @p132 :rule cnf_or_neg :args (@t82 0)) % 0.38/0.57 (step @p133 :rule cnf_or_neg :args (@t82 1)) % 0.38/0.57 (step @p134 :rule bool-double-not-elim :args (@t77)) % 0.38/0.57 (step @p135 :rule refl :args (@t89)) % 0.38/0.57 (step @p136 :rule refl :args (@t81)) % 0.38/0.57 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args ((or @t81 @t89 (not @t78)))) % 0.38/0.57 (step @p138 :rule cnf_and_neg :args (@t81)) % 0.38/0.57 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.38/0.57 (step @p140 :rule reordering :premises (@p139) :args ((or @t77 @t81 @t89))) % 0.38/0.57 (step @p141 :rule cnf_or_pos :args (@t79)) % 0.38/0.57 (step @p142 :rule reordering :premises (@p141) :args ((or @t78 @t76 @t90))) % 0.38/0.57 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p133 @p132 @p131) :args ((or @t88 @t89 @t90) (@list false true true true) (@list @t77 @t76 @t81 @t82))) % 0.38/0.57 (step @p144 :rule cnf_and_pos :args (@t81 0)) % 0.38/0.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t80 (not @t81)))) % 0.38/0.57 (step @p146 :rule cnf_equiv_neg1 :args (@t88)) % 0.38/0.57 (step @p147 :rule reordering :premises (@p146) :args ((or @t80 @t82 @t88))) % 0.38/0.57 (step @p148 :rule bool-double-not-elim :args (@t61)) % 0.38/0.57 (step @p149 :rule refl :args (@t65)) % 0.38/0.57 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t65 (not @t62)))) % 0.38/0.57 (step @p151 :rule cnf_or_neg :args (@t65 1)) % 0.38/0.57 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.38/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t61 @t65))) % 0.38/0.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p105) :args (@t61 @t72 @t73)) % 0.38/0.57 (step @p155 :rule instantiate :premises (@p154) :args (@t75)) % 0.38/0.57 (step @p156 :rule cnf_or_pos :args (@t92)) % 0.38/0.57 (step @p157 :rule reordering :premises (@p156) :args ((or @t80 @t91 (not @t92)))) % 0.38/0.57 (step @p158 :rule cnf_or_pos :args (@t82)) % 0.38/0.57 (step @p159 :rule reordering :premises (@p158) :args ((or @t81 @t76 (not @t82)))) % 0.38/0.57 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p155 @p147 @p145 @p143 @p130 @p113 @p108 @p107) :args (@t93 (@list true false false true true true false true true) (@list @t76 @t92 @t82 @t81 @t80 @t88 @t79 @t55 @t59))) % 0.38/0.57 (step @p161 :rule cnf_equiv_neg1 :args (@t59)) % 0.38/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t58 @t55 @t59))) % 0.38/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p107) :args (@t55 @t94 (@list @t58 @t59))) % 0.38/0.57 (step @p164 :rule bool-double-not-elim :args (@t63)) % 0.38/0.57 (step @p165 :rule nary_cong :premises (@p149 @p164) :args ((or @t65 (not @t64)))) % 0.38/0.57 (step @p166 :rule cnf_or_neg :args (@t65 0)) % 0.38/0.57 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.38/0.57 (step @p168 :rule reordering :premises (@p167) :args ((or @t63 @t65))) % 0.38/0.57 (step @p169 :rule chain_m_resolution :premises (@p168 @p105) :args (@t63 @t72 @t73)) % 0.38/0.57 (step @p170 :rule instantiate :premises (@p169) :args (@t96)) % 0.38/0.57 (step @p171 :rule refl :args (@t101)) % 0.38/0.57 (step @p172 :rule bool-double-not-elim :args (@t58)) % 0.38/0.57 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t93) @t101))) % 0.38/0.57 (assume-push @p248 @t93) % 0.38/0.57 (step @p175 :rule skolemize :premises (@p248)) % 0.38/0.57 (step-pop @p249 :rule scope :premises (@p175)) % 0.38/0.57 (step @p176 :rule process_scope :premises (@p249) :args (@t101)) % 0.38/0.57 (step @p178 :rule implies_elim :premises (@p176)) % 0.38/0.57 (step @p179 :rule eq_resolve :premises (@p178 @p173)) % 0.38/0.57 (step @p180 :rule chain_m_resolution :premises (@p179 @p160) :args (@t101 @t72 (@list @t58))) % 0.38/0.57 (step @p181 :rule bool-double-not-elim :args (@t98)) % 0.38/0.57 (step @p182 :rule refl :args (@t100)) % 0.38/0.57 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t100 (not @t99)))) % 0.38/0.57 (step @p184 :rule cnf_or_neg :args (@t100 0)) % 0.38/0.57 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.38/0.57 (step @p186 :rule reordering :premises (@p185) :args ((or @t98 @t100))) % 0.38/0.57 (step @p187 :rule chain_m_resolution :premises (@p186 @p180) :args (@t98 @t72 @t102)) % 0.38/0.57 (step @p188 :rule cnf_or_pos :args (@t104)) % 0.38/0.57 (step @p189 :rule reordering :premises (@p188) :args ((or @t99 @t103 (not @t104)))) % 0.38/0.57 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p170) :args (@t103 (@list false false) (@list @t98 @t104))) % 0.38/0.57 (step @p191 :rule eq-symm :args (@t105 @t52)) % 0.38/0.57 (step @p192 :rule beta-reduce :args ((= @t106 @t52))) % 0.38/0.57 (step @p193 :rule refl :args (@t105)) % 0.38/0.57 (step @p194 :rule cong :premises (@p193 @p192) :args (@t107)) % 0.38/0.57 (step @p195 :rule trans :premises (@p194 @p191)) % 0.38/0.57 (step @p196 :rule cong :premises (@p195) :args (@t108)) % 0.38/0.57 (step @p197 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 0.38/0.57 (step @p198 :rule eq-refl :args (@t106)) % 0.38/0.57 (step @p199 :rule cong :premises (@p198) :args ((forall @t11 (= @t106 @t106)))) % 0.38/0.57 (step @p200 :rule trans :premises (@p199 @p197)) % 0.38/0.57 (step @p201 :rule refl :args (@t106)) % 0.38/0.57 (step @p202 :rule refl :args (@t2)) % 0.38/0.57 (step @p203 :rule ho_cong :premises (@p83 @p202)) % 0.38/0.57 (step @p204 :rule cong :premises (@p203 @p201) :args (@t107)) % 0.38/0.57 (step @p205 :rule cong :premises (@p204) :args (@t108)) % 0.38/0.57 (step @p206 :rule trans :premises (@p205 @p200)) % 0.38/0.57 (step @p207 :rule true_elim :premises (@p206)) % 0.38/0.57 (step @p208 :rule eq_resolve :premises (@p207 @p196)) % 0.38/0.57 (step @p209 :rule instantiate :premises (@p208) :args (@t96)) % 0.38/0.57 (step @p210 :rule cnf_and_pos :args (@t109 1)) % 0.38/0.57 (step @p211 :rule reordering :premises (@p210) :args ((or @t99 @t110))) % 0.38/0.57 (step @p212 :rule chain_m_resolution :premises (@p211 @p187) :args (@t110 (@list false) (@list @t98))) % 0.38/0.57 (step @p213 :rule cnf_or_neg :args (@t100 1)) % 0.38/0.57 (step @p214 :rule chain_m_resolution :premises (@p213 @p180) :args ((not @t97) @t72 @t102)) % 0.38/0.57 (step @p215 :rule cnf_or_pos :args (@t111)) % 0.38/0.57 (step @p216 :rule reordering :premises (@p215) :args ((or @t97 @t109 @t112))) % 0.38/0.57 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p212) :args (@t112 @t94 (@list @t97 @t109))) % 0.38/0.57 (step @p218 :rule cnf_equiv_pos2 :args (@t114)) % 0.38/0.57 (step @p219 :rule reordering :premises (@p218) :args ((or @t111 @t115 (not @t114)))) % 0.38/0.57 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p209) :args (@t115 (@list true false) (@list @t111 @t114))) % 0.38/0.57 (assume-push @p250 @t55) % 0.38/0.57 (assume-push @p251 @t103) % 0.38/0.57 (assume-push @p252 @t103) % 0.38/0.57 (assume-push @p253 @t55) % 0.38/0.57 (step @p225 :rule true_intro :premises (@p251)) % 0.38/0.57 (step @p226 :rule refl :args (@t95)) % 0.38/0.57 (step @p227 :rule symm :premises (@p250)) % 0.38/0.57 (step @p228 :rule ho_cong :premises (@p227 @p226)) % 0.38/0.57 (step @p229 :rule trans :premises (@p228 @p225)) % 0.38/0.57 (step @p230 :rule true_elim :premises (@p229)) % 0.38/0.57 (step-pop @p254 :rule scope :premises (@p230)) % 0.38/0.57 (step-pop @p255 :rule scope :premises (@p254)) % 0.38/0.57 (step @p231 :rule process_scope :premises (@p255) :args (@t113)) % 0.38/0.57 (step @p234 :rule and_intro :premises (@p251 @p250)) % 0.38/0.57 (step @p235 :rule modus_ponens :premises (@p234 @p231)) % 0.38/0.57 (step-pop @p256 :rule scope :premises (@p235)) % 0.38/0.57 (step-pop @p257 :rule scope :premises (@p256)) % 0.38/0.57 (step @p236 :rule process_scope :premises (@p257) :args (@t113)) % 0.38/0.57 (step @p239 :rule implies_elim :premises (@p236)) % 0.38/0.57 (step @p240 :rule cnf_and_neg :args (@t116)) % 0.38/0.57 (step @p241 :rule resolution :premises (@p240 @p239) :args (true @t116)) % 0.38/0.57 (step @p242 :rule reordering :premises (@p241) :args ((or (not @t55) @t113 (not @t103)))) % 0.38/0.57 (step @p243 false :rule chain_m_resolution :premises (@p242 @p220 @p190 @p163) :args (false (@list true false false) (@list @t113 @t103 @t55))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------