%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV434^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:57 AM UTC 2026 % Result : Theorem 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV434^1 : TPTP v9.2.1. Released v5.2.0. % 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 : n022.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 18:32:38 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.46/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.65 % SZS status Theorem % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.f (-> Bool $$unsorted)) % 0.46/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t2 () (@var "X" Bool)) % 0.46/0.65 (define @t3 () (_ tptp.f @t2)) % 0.46/0.65 (define @t4 () (@list @t2)) % 0.46/0.65 (define @t5 () (exists @t4 (= @t3 @t1))) % 0.46/0.65 (define @t6 () (@list @t1)) % 0.46/0.65 (define @t7 () (forall @t6 @t5)) % 0.46/0.65 (define @t8 () (@var "Z" $$unsorted)) % 0.46/0.65 (define @t9 () (= @t1 @t8)) % 0.46/0.65 (define @t10 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t11 () (= @t10 @t8)) % 0.46/0.65 (define @t12 () (or (= @t10 @t1) @t11 @t9)) % 0.46/0.65 (define @t13 () (@list @t10 @t1 @t8)) % 0.46/0.65 (define @t14 () (forall @t13 @t12)) % 0.46/0.65 (define @t15 () (not @t14)) % 0.46/0.65 (define @t16 () (forall @t13 (or (= @t1 @t10) @t11 @t9))) % 0.46/0.65 (define @t17 () (@quantifiers_skolemize @t16 2)) % 0.46/0.65 (define @t18 () (@quantifiers_skolemize @t16 1)) % 0.46/0.65 (define @t19 () (= @t18 @t17)) % 0.46/0.65 (define @t20 () (@quantifiers_skolemize @t16 0)) % 0.46/0.65 (define @t21 () (= @t20 @t17)) % 0.46/0.65 (define @t22 () (= @t20 @t18)) % 0.46/0.65 (define @t23 () (or @t22 @t21 @t19)) % 0.46/0.65 (define @t24 () (not @t23)) % 0.46/0.65 (define @t25 () (not @t16)) % 0.46/0.65 (define @t26 () (or (= @t18 @t20) @t21 @t19)) % 0.46/0.65 (define @t27 () (not @t26)) % 0.46/0.65 (define @t28 () (@list true)) % 0.46/0.65 (define @t29 () (@list @t23)) % 0.46/0.65 (define @t30 () (tptp.f @t2)) % 0.46/0.65 (define @t31 () (= @t1 @t3)) % 0.46/0.65 (define @t32 () (not @t31)) % 0.46/0.65 (define @t33 () (forall @t4 @t32)) % 0.46/0.65 (define @t34 () (not @t33)) % 0.46/0.65 (define @t35 () (not (= @t17 @t30))) % 0.46/0.65 (define @t36 () (forall @t4 @t35)) % 0.46/0.65 (define @t37 () (not @t36)) % 0.46/0.65 (define @t38 () (forall @t6 (not (forall @t4 (not (= @t1 @t30)))))) % 0.46/0.65 (define @t39 () (forall @t4 (not (= @t30 @t17)))) % 0.46/0.65 (define @t40 () (not @t39)) % 0.46/0.65 (define @t41 () (@list false)) % 0.46/0.65 (define @t42 () (@list @t38)) % 0.46/0.65 (define @t43 () (@quantifiers_skolemize @t39 0)) % 0.46/0.65 (define @t44 () (@purify @t43)) % 0.46/0.65 (define @t45 () (= @t17 (tptp.f @t44))) % 0.46/0.65 (define @t46 () (tptp.f @t43)) % 0.46/0.65 (define @t47 () (= @t17 @t46)) % 0.46/0.65 (define @t48 () (= @t46 @t17)) % 0.46/0.65 (define @t49 () (not (not @t48))) % 0.46/0.65 (define @t50 () (not (= @t18 @t30))) % 0.46/0.65 (define @t51 () (forall @t4 @t50)) % 0.46/0.65 (define @t52 () (not @t51)) % 0.46/0.65 (define @t53 () (forall @t4 (not (= @t30 @t18)))) % 0.46/0.65 (define @t54 () (not @t53)) % 0.46/0.65 (define @t55 () (@quantifiers_skolemize @t53 0)) % 0.46/0.65 (define @t56 () (@purify @t55)) % 0.46/0.65 (define @t57 () (tptp.f @t56)) % 0.46/0.65 (define @t58 () (= @t18 @t57)) % 0.46/0.65 (define @t59 () (tptp.f @t55)) % 0.46/0.65 (define @t60 () (= @t18 @t59)) % 0.46/0.65 (define @t61 () (= @t59 @t18)) % 0.46/0.65 (define @t62 () (not (not @t61))) % 0.46/0.65 (define @t63 () (and @t44 @t45 @t56 @t58)) % 0.46/0.65 (define @t64 () (not @t56)) % 0.46/0.65 (define @t65 () (not @t58)) % 0.46/0.65 (define @t66 () (not @t44)) % 0.46/0.65 (define @t67 () (not @t45)) % 0.46/0.65 (define @t68 () (not (= @t20 @t30))) % 0.46/0.65 (define @t69 () (forall @t4 @t68)) % 0.46/0.65 (define @t70 () (not @t69)) % 0.46/0.65 (define @t71 () (forall @t4 (not (= @t30 @t20)))) % 0.46/0.65 (define @t72 () (not @t71)) % 0.46/0.65 (define @t73 () (@quantifiers_skolemize @t71 0)) % 0.46/0.65 (define @t74 () (@purify @t73)) % 0.46/0.65 (define @t75 () (tptp.f @t74)) % 0.46/0.65 (define @t76 () (= @t20 @t75)) % 0.46/0.65 (define @t77 () (tptp.f @t73)) % 0.46/0.65 (define @t78 () (= @t20 @t77)) % 0.46/0.65 (define @t79 () (= @t77 @t20)) % 0.46/0.65 (define @t80 () (not (not @t79))) % 0.46/0.65 (define @t81 () (and @t44 @t45 @t74 @t76)) % 0.46/0.65 (define @t82 () (not @t74)) % 0.46/0.65 (define @t83 () (not @t76)) % 0.46/0.65 (define @t84 () (not @t82)) % 0.46/0.65 (define @t85 () (not @t64)) % 0.46/0.65 (define @t86 () (and @t58 @t64 @t76 @t82)) % 0.46/0.65 (define @t87 () (not @t66)) % 0.46/0.65 (define @t88 () (and @t45 @t66 @t76 @t82)) % 0.46/0.65 (define @t89 () (and @t56 @t58 @t74 @t76)) % 0.46/0.65 (define @t90 () (and @t45 @t66 @t58 @t64)) % 0.46/0.65 (assume @p1 @t7) % 0.46/0.65 (assume @p2 @t15) % 0.46/0.65 (assume @p3 true) % 0.46/0.65 (step @p4 :rule refl :args (@t9)) % 0.46/0.65 (step @p5 :rule refl :args (@t11)) % 0.46/0.65 (step @p6 :rule eq-symm :args (@t10 @t1)) % 0.46/0.65 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t12)) % 0.46/0.65 (step @p8 :rule cong :premises (@p7) :args (@t14)) % 0.46/0.65 (step @p9 :rule cong :premises (@p8) :args (@t15)) % 0.46/0.65 (step @p10 :rule eq_resolve :premises (@p2 @p9)) % 0.46/0.65 (step @p11 :rule refl :args (@t24)) % 0.46/0.65 (step @p12 :rule bool-double-not-elim :args (@t16)) % 0.46/0.65 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t25) @t24))) % 0.46/0.65 (step @p14 :rule refl :args (@t19)) % 0.46/0.65 (step @p15 :rule refl :args (@t21)) % 0.46/0.65 (step @p16 :rule eq-symm :args (@t18 @t20)) % 0.46/0.65 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14) :args (@t26)) % 0.46/0.65 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.46/0.65 (step @p19 :rule refl :args (@t25)) % 0.46/0.65 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t25 @t27))) % 0.46/0.65 (assume-push @p369 @t25) % 0.46/0.65 (step @p22 :rule skolemize :premises (@p10)) % 0.46/0.65 (step-pop @p370 :rule scope :premises (@p22)) % 0.46/0.65 (step @p23 :rule process_scope :premises (@p370) :args (@t27)) % 0.46/0.65 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.46/0.65 (step @p26 :rule implies_elim :premises (@p25)) % 0.46/0.65 (step @p27 :rule eq_resolve :premises (@p26 @p13)) % 0.46/0.65 (step @p28 :rule chain_m_resolution :premises (@p27 @p10) :args (@t24 @t28 (@list @t16))) % 0.46/0.65 (step @p29 :rule cnf_or_neg :args (@t23 2)) % 0.46/0.65 (step @p30 :rule chain_m_resolution :premises (@p29 @p28) :args ((not @t19) @t28 @t29)) % 0.46/0.65 (step @p31 :rule refl :args (@t30)) % 0.46/0.65 (step @p32 :rule refl :args (@t3)) % 0.46/0.65 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t3 @t30))) % 0.46/0.65 (step @p34 :rule symm :premises (@p33)) % 0.46/0.65 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.46/0.65 (step @p36 :rule refl :args (@t1)) % 0.46/0.65 (step @p37 :rule cong :premises (@p36 @p35) :args (@t31)) % 0.46/0.65 (step @p38 :rule cong :premises (@p37) :args (@t32)) % 0.46/0.65 (step @p39 :rule cong :premises (@p38) :args (@t33)) % 0.46/0.65 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.46/0.65 (step @p41 :rule exists-elim :args ((= (exists @t4 @t31) @t34))) % 0.46/0.65 (step @p42 :rule trans :premises (@p41 @p40)) % 0.46/0.65 (step @p43 :rule eq-symm :args (@t3 @t1)) % 0.46/0.65 (step @p44 :rule cong :premises (@p43) :args (@t5)) % 0.46/0.65 (step @p45 :rule trans :premises (@p44 @p42)) % 0.46/0.65 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.46/0.65 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 0.46/0.65 (step @p48 :rule eq-symm :args (@t17 @t30)) % 0.46/0.65 (step @p49 :rule cong :premises (@p48) :args (@t35)) % 0.46/0.65 (step @p50 :rule cong :premises (@p49) :args (@t36)) % 0.46/0.65 (step @p51 :rule cong :premises (@p50) :args (@t37)) % 0.46/0.65 (step @p52 :rule refl :args (@t38)) % 0.46/0.65 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t38 @t37))) % 0.46/0.65 (assume-push @p371 @t38) % 0.46/0.65 (step @p55 :rule instantiate :premises (@p47) :args ((@list @t17))) % 0.46/0.65 (step-pop @p372 :rule scope :premises (@p55)) % 0.46/0.65 (step @p56 :rule process_scope :premises (@p372) :args (@t37)) % 0.46/0.65 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.46/0.65 (step @p59 :rule implies_elim :premises (@p58)) % 0.46/0.65 (step @p60 :rule chain_m_resolution :premises (@p59 @p47) :args (@t40 @t41 @t42)) % 0.46/0.65 (step @p61 :rule refl :args (@t45)) % 0.46/0.65 (step @p62 :rule bool-double-not-elim :args (@t39)) % 0.46/0.65 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t40) @t45))) % 0.46/0.65 (step @p64 :rule eq-refl :args (@t43)) % 0.46/0.65 (step @p65 :rule skolem_intro :args (@t44)) % 0.46/0.65 (step @p66 :rule refl :args (@t43)) % 0.46/0.65 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t43 @t44))) % 0.46/0.65 (step @p68 :rule trans :premises (@p67 @p64)) % 0.46/0.65 (step @p69 :rule true_elim :premises (@p68)) % 0.46/0.65 (step @p70 :rule cong :premises (@p69) :args (@t46)) % 0.46/0.65 (step @p71 :rule refl :args (@t17)) % 0.46/0.65 (step @p72 :rule cong :premises (@p71 @p70) :args (@t47)) % 0.46/0.65 (step @p73 :rule refl :args (@t40)) % 0.46/0.65 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t40 @t47))) % 0.46/0.65 (step @p75 :rule eq-symm :args (@t46 @t17)) % 0.46/0.65 (step @p76 :rule bool-double-not-elim :args (@t48)) % 0.46/0.65 (step @p77 :rule trans :premises (@p76 @p75)) % 0.46/0.65 (step @p78 :rule cong :premises (@p73 @p77) :args ((=> @t40 @t49))) % 0.46/0.65 (step @p79 :rule trans :premises (@p78 @p74)) % 0.46/0.65 (assume-push @p373 @t40) % 0.46/0.65 (step @p81 :rule skolemize :premises (@p60)) % 0.46/0.65 (step-pop @p374 :rule scope :premises (@p81)) % 0.46/0.65 (step @p82 :rule process_scope :premises (@p374) :args (@t49)) % 0.46/0.65 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.46/0.65 (step @p85 :rule implies_elim :premises (@p84)) % 0.46/0.65 (step @p86 :rule eq_resolve :premises (@p85 @p63)) % 0.46/0.65 (step @p87 :rule chain_m_resolution :premises (@p86 @p60) :args (@t45 @t28 (@list @t39))) % 0.46/0.65 (step @p88 :rule eq-symm :args (@t18 @t30)) % 0.46/0.65 (step @p89 :rule cong :premises (@p88) :args (@t50)) % 0.46/0.65 (step @p90 :rule cong :premises (@p89) :args (@t51)) % 0.46/0.65 (step @p91 :rule cong :premises (@p90) :args (@t52)) % 0.46/0.65 (step @p92 :rule cong :premises (@p52 @p91) :args ((=> @t38 @t52))) % 0.46/0.65 (assume-push @p375 @t38) % 0.46/0.65 (step @p94 :rule instantiate :premises (@p47) :args ((@list @t18))) % 0.46/0.65 (step-pop @p376 :rule scope :premises (@p94)) % 0.46/0.65 (step @p95 :rule process_scope :premises (@p376) :args (@t52)) % 0.46/0.65 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 0.46/0.65 (step @p98 :rule implies_elim :premises (@p97)) % 0.46/0.65 (step @p99 :rule chain_m_resolution :premises (@p98 @p47) :args (@t54 @t41 @t42)) % 0.46/0.65 (step @p100 :rule refl :args (@t58)) % 0.46/0.65 (step @p101 :rule bool-double-not-elim :args (@t53)) % 0.46/0.65 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t54) @t58))) % 0.46/0.65 (step @p103 :rule eq-refl :args (@t55)) % 0.46/0.65 (step @p104 :rule skolem_intro :args (@t56)) % 0.46/0.65 (step @p105 :rule refl :args (@t55)) % 0.46/0.65 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t55 @t56))) % 0.46/0.65 (step @p107 :rule trans :premises (@p106 @p103)) % 0.46/0.65 (step @p108 :rule true_elim :premises (@p107)) % 0.46/0.65 (step @p109 :rule cong :premises (@p108) :args (@t59)) % 0.46/0.65 (step @p110 :rule refl :args (@t18)) % 0.46/0.65 (step @p111 :rule cong :premises (@p110 @p109) :args (@t60)) % 0.46/0.65 (step @p112 :rule refl :args (@t54)) % 0.46/0.65 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t54 @t60))) % 0.46/0.65 (step @p114 :rule eq-symm :args (@t59 @t18)) % 0.46/0.65 (step @p115 :rule bool-double-not-elim :args (@t61)) % 0.46/0.65 (step @p116 :rule trans :premises (@p115 @p114)) % 0.46/0.65 (step @p117 :rule cong :premises (@p112 @p116) :args ((=> @t54 @t62))) % 0.46/0.65 (step @p118 :rule trans :premises (@p117 @p113)) % 0.46/0.65 (assume-push @p377 @t54) % 0.46/0.65 (step @p120 :rule skolemize :premises (@p99)) % 0.46/0.65 (step-pop @p378 :rule scope :premises (@p120)) % 0.46/0.65 (step @p121 :rule process_scope :premises (@p378) :args (@t62)) % 0.46/0.65 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.46/0.65 (step @p124 :rule implies_elim :premises (@p123)) % 0.46/0.65 (step @p125 :rule eq_resolve :premises (@p124 @p102)) % 0.46/0.65 (step @p126 :rule chain_m_resolution :premises (@p125 @p99) :args (@t58 @t28 (@list @t53))) % 0.46/0.65 (assume-push @p379 @t44) % 0.46/0.65 (assume-push @p380 @t45) % 0.46/0.65 (assume-push @p381 @t56) % 0.46/0.65 (assume-push @p382 @t58) % 0.46/0.65 (assume-push @p383 @t45) % 0.46/0.65 (assume-push @p384 @t44) % 0.46/0.65 (assume-push @p385 @t56) % 0.46/0.65 (assume-push @p386 @t58) % 0.46/0.65 (step @p135 :rule symm :premises (@p87)) % 0.46/0.65 (step @p136 :rule true_intro :premises (@p379)) % 0.46/0.65 (step @p137 :rule symm :premises (@p136)) % 0.46/0.65 (step @p138 :rule true_intro :premises (@p381)) % 0.46/0.65 (step @p139 :rule trans :premises (@p138 @p137)) % 0.46/0.65 (step @p140 :rule cong :premises (@p139) :args (@t57)) % 0.46/0.65 (step @p141 :rule trans :premises (@p126 @p140 @p135)) % 0.46/0.65 (step-pop @p387 :rule scope :premises (@p141)) % 0.46/0.65 (step-pop @p388 :rule scope :premises (@p387)) % 0.46/0.65 (step-pop @p389 :rule scope :premises (@p388)) % 0.46/0.65 (step-pop @p390 :rule scope :premises (@p389)) % 0.46/0.65 (step @p142 :rule process_scope :premises (@p390) :args (@t19)) % 0.46/0.65 (step @p147 :rule and_intro :premises (@p87 @p379 @p381 @p126)) % 0.46/0.65 (step @p148 :rule modus_ponens :premises (@p147 @p142)) % 0.46/0.65 (step-pop @p391 :rule scope :premises (@p148)) % 0.46/0.65 (step-pop @p392 :rule scope :premises (@p391)) % 0.46/0.65 (step-pop @p393 :rule scope :premises (@p392)) % 0.46/0.65 (step-pop @p394 :rule scope :premises (@p393)) % 0.46/0.65 (step @p149 :rule process_scope :premises (@p394) :args (@t19)) % 0.46/0.65 (step @p154 :rule implies_elim :premises (@p149)) % 0.46/0.65 (step @p155 :rule cnf_and_neg :args (@t63)) % 0.46/0.65 (step @p156 :rule resolution :premises (@p155 @p154) :args (true @t63)) % 0.46/0.65 (step @p157 :rule reordering :premises (@p156) :args ((or @t19 @t67 @t66 @t65 @t64))) % 0.46/0.65 (step @p158 :rule cnf_or_neg :args (@t23 1)) % 0.46/0.65 (step @p159 :rule chain_m_resolution :premises (@p158 @p28) :args ((not @t21) @t28 @t29)) % 0.46/0.65 (step @p160 :rule eq-symm :args (@t20 @t30)) % 0.46/0.65 (step @p161 :rule cong :premises (@p160) :args (@t68)) % 0.46/0.65 (step @p162 :rule cong :premises (@p161) :args (@t69)) % 0.46/0.65 (step @p163 :rule cong :premises (@p162) :args (@t70)) % 0.46/0.65 (step @p164 :rule cong :premises (@p52 @p163) :args ((=> @t38 @t70))) % 0.46/0.65 (assume-push @p395 @t38) % 0.46/0.65 (step @p166 :rule instantiate :premises (@p47) :args ((@list @t20))) % 0.46/0.65 (step-pop @p396 :rule scope :premises (@p166)) % 0.46/0.65 (step @p167 :rule process_scope :premises (@p396) :args (@t70)) % 0.46/0.65 (step @p169 :rule eq_resolve :premises (@p167 @p164)) % 0.46/0.65 (step @p170 :rule implies_elim :premises (@p169)) % 0.46/0.65 (step @p171 :rule chain_m_resolution :premises (@p170 @p47) :args (@t72 @t41 @t42)) % 0.46/0.65 (step @p172 :rule refl :args (@t76)) % 0.46/0.65 (step @p173 :rule bool-double-not-elim :args (@t71)) % 0.46/0.65 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not 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(assume-push @p417 @t76) % 0.46/0.65 (assume-push @p418 @t82) % 0.46/0.65 (assume-push @p419 @t58) % 0.46/0.65 (assume-push @p420 @t64) % 0.46/0.65 (assume-push @p421 @t82) % 0.46/0.65 (assume-push @p422 @t76) % 0.46/0.65 (step @p245 :rule symm :premises (@p126)) % 0.46/0.65 (step @p246 :rule false_intro :premises (@p416)) % 0.46/0.65 (step @p247 :rule symm :premises (@p246)) % 0.46/0.65 (step @p248 :rule false_intro :premises (@p418)) % 0.46/0.65 (step @p249 :rule trans :premises (@p248 @p247)) % 0.46/0.65 (step @p250 :rule cong :premises (@p249) :args (@t75)) % 0.46/0.65 (step @p251 :rule trans :premises (@p198 @p250 @p245)) % 0.46/0.65 (step-pop @p423 :rule scope :premises (@p251)) % 0.46/0.65 (step-pop @p424 :rule scope :premises (@p423)) % 0.46/0.65 (step-pop @p425 :rule scope :premises (@p424)) % 0.46/0.65 (step-pop @p426 :rule scope :premises (@p425)) % 0.46/0.65 (step @p252 :rule process_scope :premises (@p426) :args (@t22)) % 0.46/0.65 (step @p257 :rule and_intro :premises 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@t22 @t74 @t76 @t45 @t21 @t56 @t58 @t45 @t19))) % 0.46/0.65 (step @p270 :rule bool-double-not-elim :args (@t44)) % 0.46/0.65 (step @p271 :rule refl :args (@t67)) % 0.46/0.65 (step @p272 :rule nary_cong :premises (@p271 @p270 @p233 @p232 @p15) :args ((or @t67 @t87 @t83 @t84 @t21))) % 0.46/0.65 (assume-push @p431 @t45) % 0.46/0.65 (assume-push @p432 @t66) % 0.46/0.65 (assume-push @p433 @t76) % 0.46/0.65 (assume-push @p434 @t82) % 0.46/0.65 (assume-push @p435 @t45) % 0.46/0.65 (assume-push @p436 @t66) % 0.46/0.65 (assume-push @p437 @t82) % 0.46/0.65 (assume-push @p438 @t76) % 0.46/0.65 (step @p135 :rule symm :premises (@p87)) % 0.46/0.65 (step @p281 :rule false_intro :premises (@p432)) % 0.46/0.65 (step @p282 :rule symm :premises (@p281)) % 0.46/0.65 (step @p283 :rule false_intro :premises (@p434)) % 0.46/0.65 (step @p284 :rule trans :premises (@p283 @p282)) % 0.46/0.65 (step @p285 :rule cong :premises (@p284) :args (@t75)) % 0.46/0.65 (step @p286 :rule trans :premises (@p198 @p285 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@p302 :rule eq_resolve :premises (@p301 @p272)) % 0.46/0.65 (step @p303 :rule reordering :premises (@p302) :args ((or @t21 @t44 @t67 @t74 @t83))) % 0.46/0.65 (step @p304 :rule chain_m_resolution :premises (@p303 @p159 @p269 @p87 @p198) :args (@t74 (@list true true false false) (@list @t21 @t44 @t45 @t76))) % 0.46/0.65 (assume-push @p447 @t56) % 0.46/0.65 (assume-push @p448 @t58) % 0.46/0.65 (assume-push @p449 @t74) % 0.46/0.65 (assume-push @p450 @t76) % 0.46/0.65 (assume-push @p451 @t58) % 0.46/0.65 (assume-push @p452 @t56) % 0.46/0.65 (assume-push @p453 @t74) % 0.46/0.65 (assume-push @p454 @t76) % 0.46/0.65 (step @p245 :rule symm :premises (@p126)) % 0.46/0.65 (step @p313 :rule true_intro :premises (@p447)) % 0.46/0.65 (step @p314 :rule symm :premises (@p313)) % 0.46/0.65 (step @p315 :rule true_intro :premises (@p449)) % 0.46/0.65 (step @p316 :rule trans :premises (@p315 @p314)) % 0.46/0.65 (step @p317 :rule cong :premises (@p316) :args (@t75)) % 0.46/0.65 (step @p318 :rule trans 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:rule cong :premises (@p348) :args (@t57)) % 0.46/0.65 (step @p350 :rule trans :premises (@p126 @p349 @p135)) % 0.46/0.65 (step-pop @p471 :rule scope :premises (@p350)) % 0.46/0.65 (step-pop @p472 :rule scope :premises (@p471)) % 0.46/0.65 (step-pop @p473 :rule scope :premises (@p472)) % 0.46/0.65 (step-pop @p474 :rule scope :premises (@p473)) % 0.46/0.65 (step @p351 :rule process_scope :premises (@p474) :args (@t19)) % 0.46/0.65 (step @p356 :rule and_intro :premises (@p87 @p464 @p466 @p126)) % 0.46/0.65 (step @p357 :rule modus_ponens :premises (@p356 @p351)) % 0.46/0.65 (step-pop @p475 :rule scope :premises (@p357)) % 0.46/0.65 (step-pop @p476 :rule scope :premises (@p475)) % 0.46/0.65 (step-pop @p477 :rule scope :premises (@p476)) % 0.46/0.65 (step-pop @p478 :rule scope :premises (@p477)) % 0.46/0.65 (step @p358 :rule process_scope :premises (@p478) :args (@t19)) % 0.46/0.65 (step @p363 :rule implies_elim :premises (@p358)) % 0.46/0.65 (step @p364 :rule cnf_and_neg :args (@t90)) % 0.46/0.65 (step @p365 :rule resolution :premises (@p364 @p363) :args (true @t90)) % 0.46/0.65 (step @p366 :rule eq_resolve :premises (@p365 @p336)) % 0.46/0.65 (step @p367 :rule reordering :premises (@p366) :args ((or @t19 @t44 @t67 @t56 @t65))) % 0.46/0.65 (step @p368 false :rule chain_m_resolution :premises (@p367 @p335 @p269 @p126 @p87 @p30) :args (false (@list true true false false true) (@list @t56 @t44 @t58 @t45 @t19))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------