%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO040^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:11:50 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO040^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 23:52:20 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.50 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.54 % SZS status Unsatisfiable % 0.31/0.54 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.h (-> Bool $$unsorted)) % 0.31/0.55 (declare-const tptp.f (-> Bool Bool)) % 0.31/0.55 (declare-const tptp.x Bool) % 0.31/0.55 (define @t1 () (_ tptp.f tptp.x)) % 0.31/0.55 (define @t2 () (_ tptp.f @t1)) % 0.31/0.55 (define @t3 () (_ tptp.f @t2)) % 0.31/0.55 (define @t4 () (= (_ tptp.h @t3) (_ tptp.h @t1))) % 0.31/0.55 (define @t5 () (not @t4)) % 0.31/0.55 (define @t6 () (@purify @t3)) % 0.31/0.55 (define @t7 () (tptp.h @t6)) % 0.31/0.55 (define @t8 () (@purify @t1)) % 0.31/0.55 (define @t9 () (tptp.h @t8)) % 0.31/0.55 (define @t10 () (_ tptp.h @t8)) % 0.31/0.55 (define @t11 () (= @t1 @t8)) % 0.31/0.55 (define @t12 () (_ tptp.h @t6)) % 0.31/0.55 (define @t13 () (= @t3 @t6)) % 0.31/0.55 (define @t14 () (@purify tptp.x)) % 0.31/0.55 (define @t15 () (tptp.f @t14)) % 0.31/0.55 (define @t16 () (_ tptp.f @t14)) % 0.31/0.55 (define @t17 () (not @t8)) % 0.31/0.55 (define @t18 () (= @t9 @t7)) % 0.31/0.55 (define @t19 () (and @t8 @t6)) % 0.31/0.55 (define @t20 () (not @t6)) % 0.31/0.55 (define @t21 () (@purify @t2)) % 0.31/0.55 (define @t22 () (tptp.f @t21)) % 0.31/0.55 (define @t23 () (_ tptp.f @t21)) % 0.31/0.55 (define @t24 () (= @t2 @t21)) % 0.31/0.55 (define @t25 () (tptp.f @t8)) % 0.31/0.55 (define @t26 () (and @t8 @t14 @t15)) % 0.31/0.55 (define @t27 () (not @t14)) % 0.31/0.55 (define @t28 () (not @t15)) % 0.31/0.55 (define @t29 () (_ tptp.f @t8)) % 0.31/0.55 (define @t30 () (not @t21)) % 0.31/0.55 (define @t31 () (not @t22)) % 0.31/0.55 (define @t32 () (not @t31)) % 0.31/0.55 (define @t33 () (= false true)) % 0.31/0.55 (define @t34 () (and @t15 @t14 @t8 @t21 @t31)) % 0.31/0.55 (define @t35 () (not @t25)) % 0.31/0.55 (define @t36 () (and @t8 @t21 @t31)) % 0.31/0.55 (define @t37 () (not @t30)) % 0.31/0.55 (define @t38 () (not @t27)) % 0.31/0.55 (define @t39 () (and @t15 @t27 @t30 @t31)) % 0.31/0.55 (define @t40 () (not @t17)) % 0.31/0.55 (define @t41 () (and @t22 @t17 @t30)) % 0.31/0.55 (define @t42 () (@list true)) % 0.31/0.55 (define @t43 () (not @t28)) % 0.31/0.55 (define @t44 () (and @t28 @t14 @t21 @t22)) % 0.31/0.55 (define @t45 () (and @t25 @t17 @t27 @t28)) % 0.31/0.55 (define @t46 () (and @t17 @t20)) % 0.31/0.55 (assume @p1 @t5) % 0.31/0.55 (step @p2 :rule eq-symm :args (@t7 @t9)) % 0.31/0.55 (step @p3 :rule refl :args (@t9)) % 0.31/0.55 (step @p4 :rule refl :args (@t10)) % 0.31/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t10 @t9))) % 0.31/0.55 (step @p6 :rule symm :premises (@p5)) % 0.31/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.31/0.55 (step @p8 :rule eq-refl :args (@t1)) % 0.31/0.55 (step @p9 :rule skolem_intro :args (@t8)) % 0.31/0.55 (step @p10 :rule refl :args (@t1)) % 0.31/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args (@t11)) % 0.31/0.55 (step @p12 :rule trans :premises (@p11 @p8)) % 0.31/0.55 (step @p13 :rule true_elim :premises (@p12)) % 0.31/0.55 (step @p14 :rule refl :args (tptp.h)) % 0.31/0.55 (step @p15 :rule ho_cong :premises (@p14 @p13)) % 0.31/0.55 (step @p16 :rule trans :premises (@p15 @p7)) % 0.31/0.55 (step @p17 :rule refl :args (@t7)) % 0.31/0.55 (step @p18 :rule refl :args (@t12)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t12 @t7))) % 0.31/0.55 (step @p20 :rule symm :premises (@p19)) % 0.31/0.55 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.31/0.55 (step @p22 :rule eq-refl :args (@t3)) % 0.31/0.55 (step @p23 :rule skolem_intro :args (@t6)) % 0.31/0.55 (step @p24 :rule refl :args (@t3)) % 0.31/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args (@t13)) % 0.31/0.55 (step @p26 :rule trans :premises (@p25 @p22)) % 0.31/0.55 (step @p27 :rule true_elim :premises (@p26)) % 0.31/0.55 (step @p28 :rule ho_cong :premises (@p14 @p27)) % 0.31/0.55 (step @p29 :rule trans :premises (@p28 @p21)) % 0.31/0.55 (step @p30 :rule cong :premises (@p29 @p16) :args (@t4)) % 0.31/0.55 (step @p31 :rule trans :premises (@p30 @p2)) % 0.31/0.55 (step @p32 :rule cong :premises (@p31) :args (@t5)) % 0.31/0.55 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.31/0.55 (step @p34 :rule eq-symm :args (@t15 @t8)) % 0.31/0.55 (step @p35 :rule refl :args (@t8)) % 0.31/0.55 (step @p36 :rule refl :args (@t15)) % 0.31/0.55 (step @p37 :rule refl :args (@t16)) % 0.31/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t16 @t15))) % 0.31/0.55 (step @p39 :rule symm :premises (@p38)) % 0.31/0.55 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.31/0.55 (step @p41 :rule eq-refl :args (tptp.x)) % 0.31/0.55 (step @p42 :rule skolem_intro :args (@t14)) % 0.31/0.55 (step @p43 :rule refl :args (tptp.x)) % 0.31/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args ((= tptp.x @t14))) % 0.31/0.55 (step @p45 :rule trans :premises (@p44 @p41)) % 0.31/0.55 (step @p46 :rule true_elim :premises (@p45)) % 0.31/0.55 (step @p47 :rule refl :args (tptp.f)) % 0.31/0.55 (step @p48 :rule ho_cong :premises (@p47 @p46)) % 0.31/0.55 (step @p49 :rule trans :premises (@p48 @p40)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49 @p35) :args (@t11)) % 0.31/0.55 (step @p51 :rule trans :premises (@p50 @p34)) % 0.31/0.55 (step @p52 :rule eq-symm :args (@t8 @t1)) % 0.31/0.55 (step @p53 :rule trans :premises (@p52 @p51)) % 0.31/0.55 (step @p54 :rule eq_resolve :premises (@p9 @p53)) % 0.31/0.55 (step @p55 :rule equiv_elim1 :premises (@p54)) % 0.31/0.55 (step @p56 :rule reordering :premises (@p55) :args ((or @t15 @t17))) % 0.31/0.55 (assume-push @p401 @t8) % 0.31/0.55 (assume-push @p402 @t6) % 0.31/0.55 (assume-push @p403 @t6) % 0.31/0.55 (assume-push @p404 @t8) % 0.31/0.55 (step @p61 :rule true_intro :premises (@p402)) % 0.31/0.55 (step @p62 :rule symm :premises (@p61)) % 0.31/0.55 (step @p63 :rule true_intro :premises (@p401)) % 0.31/0.55 (step @p64 :rule trans :premises (@p63 @p62)) % 0.31/0.55 (step @p65 :rule cong :premises (@p64) :args (@t9)) % 0.31/0.55 (step-pop @p405 :rule scope :premises (@p65)) % 0.31/0.55 (step-pop @p406 :rule scope :premises (@p405)) % 0.31/0.55 (step @p66 :rule process_scope :premises (@p406) :args (@t18)) % 0.31/0.55 (step @p69 :rule and_intro :premises (@p402 @p401)) % 0.31/0.55 (step @p70 :rule modus_ponens :premises (@p69 @p66)) % 0.31/0.55 (step-pop @p407 :rule scope :premises (@p70)) % 0.31/0.55 (step-pop @p408 :rule scope :premises (@p407)) % 0.31/0.55 (step @p71 :rule process_scope :premises (@p408) :args (@t18)) % 0.31/0.55 (step @p74 :rule implies_elim :premises (@p71)) % 0.31/0.55 (step @p75 :rule cnf_and_neg :args (@t19)) % 0.31/0.55 (step @p76 :rule resolution :premises (@p75 @p74) :args (true @t19)) % 0.31/0.55 (step @p77 :rule reordering :premises (@p76) :args ((or @t18 @t17 @t20))) % 0.31/0.55 (step @p78 :rule eq-symm :args (@t22 @t6)) % 0.31/0.55 (step @p79 :rule refl :args (@t6)) % 0.31/0.55 (step @p80 :rule refl :args (@t22)) % 0.31/0.55 (step @p81 :rule refl :args (@t23)) % 0.31/0.55 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t23 @t22))) % 0.31/0.55 (step @p83 :rule symm :premises (@p82)) % 0.31/0.55 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.31/0.55 (step @p85 :rule eq-refl :args (@t2)) % 0.31/0.55 (step @p86 :rule skolem_intro :args (@t21)) % 0.31/0.55 (step @p87 :rule refl :args (@t2)) % 0.31/0.55 (step @p88 :rule cong :premises (@p87 @p86) :args (@t24)) % 0.31/0.55 (step @p89 :rule trans :premises (@p88 @p85)) % 0.31/0.55 (step @p90 :rule true_elim :premises (@p89)) % 0.31/0.55 (step @p91 :rule ho_cong :premises (@p47 @p90)) % 0.31/0.55 (step @p92 :rule trans :premises (@p91 @p84)) % 0.31/0.55 (step @p93 :rule cong :premises (@p92 @p79) :args (@t13)) % 0.31/0.55 (step @p94 :rule trans :premises (@p93 @p78)) % 0.31/0.55 (step @p95 :rule eq-symm :args (@t6 @t3)) % 0.31/0.55 (step @p96 :rule trans :premises (@p95 @p94)) % 0.31/0.55 (step @p97 :rule eq_resolve :premises (@p23 @p96)) % 0.31/0.55 (step @p98 :rule equiv_elim2 :premises (@p97)) % 0.31/0.55 (assume-push @p409 @t8) % 0.31/0.55 (assume-push @p410 @t14) % 0.31/0.55 (assume-push @p411 @t15) % 0.31/0.55 (assume-push @p412 @t15) % 0.31/0.55 (assume-push @p413 @t14) % 0.31/0.55 (assume-push @p414 @t8) % 0.31/0.55 (step @p105 :rule true_intro :premises (@p411)) % 0.31/0.55 (step @p106 :rule true_intro :premises (@p410)) % 0.31/0.55 (step @p107 :rule symm :premises (@p106)) % 0.31/0.55 (step @p108 :rule true_intro :premises (@p409)) % 0.31/0.55 (step @p109 :rule trans :premises (@p108 @p107)) % 0.31/0.55 (step @p110 :rule cong :premises (@p109) :args (@t25)) % 0.31/0.55 (step @p111 :rule trans :premises (@p110 @p105)) % 0.31/0.55 (step @p112 :rule true_elim :premises (@p111)) % 0.31/0.55 (step-pop @p415 :rule scope :premises (@p112)) % 0.31/0.55 (step-pop @p416 :rule scope :premises (@p415)) % 0.31/0.55 (step-pop @p417 :rule scope :premises (@p416)) % 0.31/0.55 (step @p113 :rule process_scope :premises (@p417) :args (@t25)) % 0.31/0.55 (step @p117 :rule and_intro :premises (@p411 @p410 @p409)) % 0.31/0.55 (step @p118 :rule modus_ponens :premises (@p117 @p113)) % 0.31/0.55 (step-pop @p418 :rule scope :premises (@p118)) % 0.31/0.55 (step-pop @p419 :rule scope :premises (@p418)) % 0.31/0.55 (step-pop @p420 :rule scope :premises (@p419)) % 0.31/0.55 (step @p119 :rule process_scope :premises (@p420) :args (@t25)) % 0.31/0.55 (step @p123 :rule implies_elim :premises (@p119)) % 0.31/0.55 (step @p124 :rule cnf_and_neg :args (@t26)) % 0.31/0.55 (step @p125 :rule resolution :premises (@p124 @p123) :args (true @t26)) % 0.31/0.55 (step @p126 :rule reordering :premises (@p125) :args ((or @t25 @t17 @t28 @t27))) % 0.31/0.55 (step @p127 :rule eq-symm :args (@t25 @t21)) % 0.31/0.55 (step @p128 :rule refl :args (@t21)) % 0.31/0.55 (step @p129 :rule refl :args (@t25)) % 0.31/0.55 (step @p130 :rule refl :args (@t29)) % 0.31/0.55 (step @p131 :rule cong :premises (@p130 @p129) :args ((= @t29 @t25))) % 0.31/0.55 (step @p132 :rule symm :premises (@p131)) % 0.31/0.55 (step @p133 :rule eq_resolve :premises (@p130 @p132)) % 0.31/0.55 (step @p134 :rule ho_cong :premises (@p47 @p13)) % 0.31/0.55 (step @p135 :rule trans :premises (@p134 @p133)) % 0.31/0.55 (step @p136 :rule cong :premises (@p135 @p128) :args (@t24)) % 0.31/0.55 (step @p137 :rule trans :premises (@p136 @p127)) % 0.31/0.55 (step @p138 :rule eq-symm :args (@t21 @t2)) % 0.31/0.55 (step @p139 :rule trans :premises (@p138 @p137)) % 0.31/0.55 (step @p140 :rule eq_resolve :premises (@p86 @p139)) % 0.31/0.55 (step @p141 :rule equiv_elim2 :premises (@p140)) % 0.31/0.55 (step @p142 :rule bool-double-not-elim :args (@t22)) % 0.31/0.55 (step @p143 :rule refl :args (@t30)) % 0.31/0.55 (step @p144 :rule refl :args (@t28)) % 0.31/0.55 (step @p145 :rule refl :args (@t27)) % 0.31/0.55 (step @p146 :rule refl :args (@t17)) % 0.31/0.55 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143 @p142) :args ((or @t17 @t27 @t28 @t30 @t32))) % 0.31/0.55 (assume-push @p421 @t15) % 0.31/0.55 (assume-push @p422 @t14) % 0.31/0.55 (assume-push @p423 @t8) % 0.31/0.55 (assume-push @p424 @t21) % 0.31/0.55 (assume-push @p425 @t31) % 0.31/0.55 (step @p153 :rule evaluate :args (@t33)) % 0.31/0.55 (step @p154 :rule true_intro :premises (@p421)) % 0.31/0.55 (step @p155 :rule true_intro :premises (@p422)) % 0.31/0.55 (step @p156 :rule symm :premises (@p155)) % 0.31/0.55 (step @p157 :rule true_intro :premises (@p423)) % 0.31/0.55 (step @p158 :rule trans :premises (@p157 @p156)) % 0.31/0.55 (step @p159 :rule cong :premises (@p158) :args (@t25)) % 0.31/0.55 (step @p160 :rule symm :premises (@p157)) % 0.31/0.55 (step @p161 :rule true_intro :premises (@p424)) % 0.31/0.55 (step @p162 :rule trans :premises (@p161 @p160)) % 0.31/0.55 (step @p163 :rule cong :premises (@p162) :args (@t22)) % 0.31/0.55 (step @p164 :rule false_intro :premises (@p425)) % 0.31/0.55 (step @p165 :rule symm :premises (@p164)) % 0.31/0.55 (step @p166 :rule trans :premises (@p165 @p163 @p159 @p154)) % 0.31/0.55 (step @p167 false :rule eq_resolve :premises (@p166 @p153)) % 0.31/0.55 (step-pop @p426 :rule scope :premises (@p167)) % 0.31/0.55 (step-pop @p427 :rule scope :premises (@p426)) % 0.31/0.55 (step-pop @p428 :rule scope :premises (@p427)) % 0.31/0.55 (step-pop @p429 :rule scope :premises (@p428)) % 0.31/0.55 (step-pop @p430 :rule scope :premises (@p429)) % 0.31/0.55 (step @p168 :rule process_scope :premises (@p430) :args (false)) % 0.31/0.55 (assume-push @p431 @t8) % 0.31/0.55 (assume-push @p432 @t14) % 0.31/0.55 (assume-push @p433 @t15) % 0.31/0.55 (assume-push @p434 @t21) % 0.31/0.55 (assume-push @p435 @t31) % 0.31/0.55 (step @p179 :rule and_intro :premises (@p433 @p432 @p431 @p434 @p435)) % 0.31/0.55 (step-pop @p436 :rule scope :premises (@p179)) % 0.31/0.55 (step-pop @p437 :rule scope :premises (@p436)) % 0.31/0.55 (step-pop @p438 :rule scope :premises (@p437)) % 0.31/0.55 (step-pop @p439 :rule scope :premises (@p438)) % 0.31/0.55 (step-pop @p440 :rule scope :premises (@p439)) % 0.31/0.55 (step @p180 :rule process_scope :premises (@p440) :args (@t34)) % 0.31/0.55 (step @p186 :rule implies_elim :premises (@p180)) % 0.31/0.55 (step @p187 :rule resolution :premises (@p186 @p168) :args (true @t34)) % 0.31/0.55 (step @p188 :rule not_and :premises (@p187)) % 0.31/0.55 (step @p189 :rule eq_resolve :premises (@p188 @p147)) % 0.31/0.55 (step @p190 :rule reordering :premises (@p189) :args ((or @t22 @t17 @t28 @t27 @t30))) % 0.31/0.55 (step @p191 :rule chain_m_resolution :premises (@p190 @p141 @p126 @p56 @p98 @p77 @p33) :args ((or @t17 @t27) (@list false false false true true true) (@list @t21 @t25 @t15 @t22 @t6 @t18))) % 0.31/0.55 (step @p192 :rule equiv_elim1 :premises (@p140)) % 0.31/0.55 (step @p193 :rule reordering :premises (@p192) :args ((or @t25 @t30))) % 0.31/0.55 (step @p194 :rule refl :args (@t35)) % 0.31/0.55 (step @p195 :rule nary_cong :premises (@p146 @p143 @p142 @p194) :args ((or @t17 @t30 @t32 @t35))) % 0.31/0.55 (assume-push @p441 @t8) % 0.31/0.55 (assume-push @p442 @t21) % 0.31/0.55 (assume-push @p443 @t31) % 0.31/0.55 (assume-push @p444 @t31) % 0.31/0.55 (assume-push @p445 @t21) % 0.31/0.55 (assume-push @p446 @t8) % 0.31/0.55 (step @p202 :rule false_intro :premises (@p443)) % 0.31/0.55 (step @p203 :rule true_intro :premises (@p442)) % 0.31/0.55 (step @p204 :rule symm :premises (@p203)) % 0.31/0.55 (step @p205 :rule true_intro :premises (@p441)) % 0.31/0.55 (step @p206 :rule trans :premises (@p205 @p204)) % 0.31/0.55 (step @p207 :rule cong :premises (@p206) :args (@t25)) % 0.31/0.55 (step @p208 :rule trans :premises (@p207 @p202)) % 0.31/0.55 (step @p209 :rule false_elim :premises (@p208)) % 0.31/0.55 (step-pop @p447 :rule scope :premises (@p209)) % 0.31/0.55 (step-pop @p448 :rule scope :premises (@p447)) % 0.31/0.55 (step-pop @p449 :rule scope :premises (@p448)) % 0.31/0.55 (step @p210 :rule process_scope :premises (@p449) :args (@t35)) % 0.31/0.55 (step @p214 :rule and_intro :premises (@p443 @p442 @p441)) % 0.31/0.55 (step @p215 :rule modus_ponens :premises (@p214 @p210)) % 0.31/0.55 (step-pop @p450 :rule scope :premises (@p215)) % 0.31/0.55 (step-pop @p451 :rule scope :premises (@p450)) % 0.31/0.55 (step-pop @p452 :rule scope :premises (@p451)) % 0.31/0.55 (step @p216 :rule process_scope :premises (@p452) :args (@t35)) % 0.31/0.55 (step @p220 :rule implies_elim :premises (@p216)) % 0.31/0.55 (step @p221 :rule cnf_and_neg :args (@t36)) % 0.31/0.55 (step @p222 :rule resolution :premises (@p221 @p220) :args (true @t36)) % 0.31/0.55 (step @p223 :rule eq_resolve :premises (@p222 @p195)) % 0.31/0.55 (step @p224 :rule reordering :premises (@p223) :args ((or @t22 @t17 @t30 @t35))) % 0.31/0.55 (step @p225 :rule chain_m_resolution :premises (@p224 @p193 @p98 @p77 @p33) :args ((or @t17 @t30) (@list false true true true) (@list @t25 @t22 @t6 @t18))) % 0.31/0.55 (step @p226 :rule bool-double-not-elim :args (@t21)) % 0.31/0.55 (step @p227 :rule bool-double-not-elim :args (@t14)) % 0.31/0.55 (step @p228 :rule nary_cong :premises (@p144 @p142 @p227 @p226) :args ((or @t28 @t32 @t38 @t37))) % 0.31/0.55 (assume-push @p453 @t15) % 0.31/0.55 (assume-push @p454 @t27) % 0.31/0.55 (assume-push @p455 @t30) % 0.31/0.55 (assume-push @p456 @t31) % 0.31/0.55 (step @p153 :rule evaluate :args (@t33)) % 0.31/0.55 (step @p233 :rule true_intro :premises (@p453)) % 0.31/0.55 (step @p234 :rule false_intro :premises (@p454)) % 0.31/0.55 (step @p235 :rule symm :premises (@p234)) % 0.31/0.55 (step @p236 :rule false_intro :premises (@p455)) % 0.31/0.55 (step @p237 :rule trans :premises (@p236 @p235)) % 0.31/0.55 (step @p238 :rule cong :premises (@p237) :args (@t22)) % 0.31/0.55 (step @p239 :rule false_intro :premises (@p456)) % 0.31/0.55 (step @p240 :rule symm :premises (@p239)) % 0.31/0.55 (step @p241 :rule trans :premises (@p240 @p238 @p233)) % 0.31/0.55 (step @p242 false :rule eq_resolve :premises (@p241 @p153)) % 0.31/0.55 (step-pop @p457 :rule scope :premises (@p242)) % 0.31/0.55 (step-pop @p458 :rule scope :premises (@p457)) % 0.31/0.55 (step-pop @p459 :rule scope :premises (@p458)) % 0.31/0.55 (step-pop @p460 :rule scope :premises (@p459)) % 0.31/0.55 (step @p243 :rule process_scope :premises (@p460) :args (false)) % 0.31/0.55 (assume-push @p461 @t15) % 0.31/0.55 (assume-push @p462 @t31) % 0.31/0.55 (assume-push @p463 @t27) % 0.31/0.55 (assume-push @p464 @t30) % 0.31/0.55 (step @p252 :rule and_intro :premises (@p461 @p463 @p464 @p462)) % 0.31/0.55 (step-pop @p465 :rule scope :premises (@p252)) % 0.31/0.55 (step-pop @p466 :rule scope :premises (@p465)) % 0.31/0.55 (step-pop @p467 :rule scope :premises (@p466)) % 0.31/0.55 (step-pop @p468 :rule scope :premises (@p467)) % 0.31/0.55 (step @p253 :rule process_scope :premises (@p468) :args (@t39)) % 0.31/0.55 (step @p258 :rule implies_elim :premises (@p253)) % 0.31/0.55 (step @p259 :rule resolution :premises (@p258 @p243) :args (true @t39)) % 0.31/0.55 (step @p260 :rule not_and :premises (@p259)) % 0.31/0.55 (step @p261 :rule eq_resolve :premises (@p260 @p228)) % 0.31/0.55 (step @p262 :rule reordering :premises (@p261) :args ((or @t14 @t21 @t22 @t28))) % 0.31/0.55 (step @p263 :rule chain_m_resolution :premises (@p262 @p225 @p191 @p98 @p77 @p33 @p56) :args (@t17 (@list true true true true true false) (@list @t21 @t14 @t22 @t6 @t18 @t15))) % 0.31/0.55 (step @p264 :rule refl :args (@t25)) % 0.31/0.55 (step @p265 :rule bool-double-not-elim :args (@t8)) % 0.31/0.55 (step @p266 :rule refl :args (@t31)) % 0.31/0.55 (step @p267 :rule nary_cong :premises (@p266 @p265 @p226 @p264) :args ((or @t31 @t40 @t37 @t25))) % 0.31/0.55 (assume-push @p469 @t22) % 0.31/0.55 (assume-push @p470 @t17) % 0.31/0.55 (assume-push @p471 @t30) % 0.31/0.55 (assume-push @p472 @t22) % 0.31/0.55 (assume-push @p473 @t30) % 0.31/0.55 (assume-push @p474 @t17) % 0.31/0.55 (step @p274 :rule true_intro :premises (@p469)) % 0.31/0.55 (step @p275 :rule false_intro :premises (@p471)) % 0.31/0.55 (step @p276 :rule symm :premises (@p275)) % 0.31/0.55 (step @p277 :rule false_intro :premises (@p470)) % 0.31/0.55 (step @p278 :rule trans :premises (@p277 @p276)) % 0.31/0.55 (step @p279 :rule cong :premises (@p278) :args (@t25)) % 0.31/0.55 (step @p280 :rule trans :premises (@p279 @p274)) % 0.31/0.55 (step @p281 :rule true_elim :premises (@p280)) % 0.31/0.55 (step-pop @p475 :rule scope :premises (@p281)) % 0.31/0.55 (step-pop @p476 :rule scope :premises (@p475)) % 0.31/0.55 (step-pop @p477 :rule scope :premises (@p476)) % 0.31/0.55 (step @p282 :rule process_scope :premises (@p477) :args (@t25)) % 0.31/0.55 (step @p286 :rule and_intro :premises (@p469 @p471 @p470)) % 0.31/0.55 (step @p287 :rule modus_ponens :premises (@p286 @p282)) % 0.31/0.55 (step-pop @p478 :rule scope :premises (@p287)) % 0.31/0.55 (step-pop @p479 :rule scope :premises (@p478)) % 0.31/0.55 (step-pop @p480 :rule scope :premises (@p479)) % 0.31/0.55 (step @p288 :rule process_scope :premises (@p480) :args (@t25)) % 0.31/0.55 (step @p292 :rule implies_elim :premises (@p288)) % 0.31/0.55 (step @p293 :rule cnf_and_neg :args (@t41)) % 0.31/0.55 (step @p294 :rule resolution :premises (@p293 @p292) :args (true @t41)) % 0.31/0.55 (step @p295 :rule eq_resolve :premises (@p294 @p267)) % 0.31/0.55 (step @p296 :rule reordering :premises (@p295) :args ((or @t8 @t21 @t25 @t31))) % 0.31/0.55 (step @p297 :rule chain_m_resolution :premises (@p296 @p263 @p141) :args ((or @t21 @t31) (@list true true) (@list @t8 @t25))) % 0.31/0.55 (step @p298 :rule equiv_elim2 :premises (@p54)) % 0.31/0.55 (step @p299 :rule chain_m_resolution :premises (@p298 @p263) :args (@t28 @t42 (@list @t8))) % 0.31/0.55 (step @p300 :rule bool-double-not-elim :args (@t15)) % 0.31/0.55 (step @p301 :rule nary_cong :premises (@p145 @p143 @p266 @p300) :args ((or @t27 @t30 @t31 @t43))) % 0.31/0.55 (assume-push @p481 @t28) % 0.31/0.55 (assume-push @p482 @t14) % 0.31/0.55 (assume-push @p483 @t21) % 0.31/0.55 (assume-push @p484 @t22) % 0.31/0.55 (step @p306 :rule evaluate :args ((= true false))) % 0.31/0.55 (step @p307 :rule false_intro :premises (@p481)) % 0.31/0.55 (step @p308 :rule true_intro :premises (@p482)) % 0.31/0.55 (step @p309 :rule symm :premises (@p308)) % 0.31/0.55 (step @p310 :rule true_intro :premises (@p483)) % 0.31/0.55 (step @p311 :rule trans :premises (@p310 @p309)) % 0.31/0.55 (step @p312 :rule cong :premises (@p311) :args (@t22)) % 0.31/0.55 (step @p313 :rule true_intro :premises (@p484)) % 0.31/0.55 (step @p314 :rule symm :premises (@p313)) % 0.31/0.55 (step @p315 :rule trans :premises (@p314 @p312 @p307)) % 0.31/0.55 (step @p316 false :rule eq_resolve :premises (@p315 @p306)) % 0.31/0.55 (step-pop @p485 :rule scope :premises (@p316)) % 0.31/0.55 (step-pop @p486 :rule scope :premises (@p485)) % 0.31/0.55 (step-pop @p487 :rule scope :premises (@p486)) % 0.31/0.55 (step-pop @p488 :rule scope :premises (@p487)) % 0.31/0.55 (step @p317 :rule process_scope :premises (@p488) :args (false)) % 0.31/0.55 (assume-push @p489 @t14) % 0.31/0.55 (assume-push @p490 @t21) % 0.31/0.55 (assume-push @p491 @t22) % 0.31/0.55 (assume-push @p492 @t28) % 0.31/0.55 (step @p326 :rule and_intro :premises (@p492 @p489 @p490 @p491)) % 0.31/0.55 (step-pop @p493 :rule scope :premises (@p326)) % 0.31/0.55 (step-pop @p494 :rule scope :premises (@p493)) % 0.31/0.55 (step-pop @p495 :rule scope :premises (@p494)) % 0.31/0.55 (step-pop @p496 :rule scope :premises (@p495)) % 0.31/0.55 (step @p327 :rule process_scope :premises (@p496) :args (@t44)) % 0.31/0.55 (step @p332 :rule implies_elim :premises (@p327)) % 0.31/0.55 (step @p333 :rule resolution :premises (@p332 @p317) :args (true @t44)) % 0.31/0.55 (step @p334 :rule not_and :premises (@p333)) % 0.31/0.55 (step @p335 :rule eq_resolve :premises (@p334 @p301)) % 0.31/0.55 (step @p336 :rule reordering :premises (@p335) :args ((or @t15 @t31 @t27 @t30))) % 0.31/0.55 (step @p337 :rule nary_cong :premises (@p194 @p265 @p300 @p227) :args ((or @t35 @t40 @t43 @t38))) % 0.31/0.55 (assume-push @p497 @t25) % 0.31/0.55 (assume-push @p498 @t17) % 0.31/0.55 (assume-push @p499 @t27) % 0.31/0.55 (assume-push @p500 @t28) % 0.31/0.55 (step @p153 :rule evaluate :args (@t33)) % 0.31/0.55 (step @p342 :rule true_intro :premises (@p497)) % 0.31/0.55 (step @p343 :rule false_intro :premises (@p498)) % 0.31/0.55 (step @p344 :rule symm :premises (@p343)) % 0.31/0.55 (step @p345 :rule false_intro :premises (@p499)) % 0.31/0.55 (step @p346 :rule trans :premises (@p345 @p344)) % 0.31/0.55 (step @p347 :rule cong :premises (@p346) :args (@t15)) % 0.31/0.55 (step @p348 :rule false_intro :premises (@p500)) % 0.31/0.55 (step @p349 :rule symm :premises (@p348)) % 0.31/0.55 (step @p350 :rule trans :premises (@p349 @p347 @p342)) % 0.31/0.55 (step @p351 false :rule eq_resolve :premises (@p350 @p153)) % 0.31/0.55 (step-pop @p501 :rule scope :premises (@p351)) % 0.31/0.55 (step-pop @p502 :rule scope :premises (@p501)) % 0.31/0.55 (step-pop @p503 :rule scope :premises (@p502)) % 0.31/0.55 (step-pop @p504 :rule scope :premises (@p503)) % 0.31/0.55 (step @p352 :rule process_scope :premises (@p504) :args (false)) % 0.31/0.55 (assume-push @p505 @t25) % 0.31/0.55 (assume-push @p506 @t17) % 0.31/0.55 (assume-push @p507 @t28) % 0.31/0.55 (assume-push @p508 @t27) % 0.31/0.55 (step @p361 :rule and_intro :premises (@p505 @p506 @p508 @p507)) % 0.31/0.55 (step-pop @p509 :rule scope :premises (@p361)) % 0.31/0.55 (step-pop @p510 :rule scope :premises (@p509)) % 0.31/0.55 (step-pop @p511 :rule scope :premises (@p510)) % 0.31/0.55 (step-pop @p512 :rule scope :premises (@p511)) % 0.31/0.55 (step @p362 :rule process_scope :premises (@p512) :args (@t45)) % 0.31/0.55 (step @p367 :rule implies_elim :premises (@p362)) % 0.31/0.55 (step @p368 :rule resolution :premises (@p367 @p352) :args (true @t45)) % 0.31/0.55 (step @p369 :rule not_and :premises (@p368)) % 0.31/0.55 (step @p370 :rule eq_resolve :premises (@p369 @p337)) % 0.31/0.55 (step @p371 :rule reordering :premises (@p370) :args ((or @t8 @t14 @t15 @t35))) % 0.31/0.55 (step @p372 :rule chain_m_resolution :premises (@p371 @p299 @p263 @p336 @p299 @p193 @p297) :args (@t31 (@list true true true true false false) (@list @t15 @t8 @t14 @t15 @t25 @t21))) % 0.31/0.55 (step @p373 :rule equiv_elim1 :premises (@p97)) % 0.31/0.55 (step @p374 :rule reordering :premises (@p373) :args ((or @t22 @t20))) % 0.31/0.55 (step @p375 :rule chain_m_resolution :premises (@p374 @p372) :args (@t20 @t42 (@list @t22))) % 0.31/0.55 (step @p376 :rule refl :args (@t18)) % 0.31/0.55 (step @p377 :rule bool-double-not-elim :args (@t6)) % 0.31/0.55 (step @p378 :rule nary_cong :premises (@p265 @p377 @p376) :args ((or @t40 (not @t20) @t18))) % 0.31/0.55 (assume-push @p513 @t17) % 0.31/0.55 (assume-push @p514 @t20) % 0.31/0.55 (assume-push @p515 @t20) % 0.31/0.55 (assume-push @p516 @t17) % 0.31/0.55 (step @p383 :rule false_intro :premises (@p514)) % 0.31/0.55 (step @p384 :rule symm :premises (@p383)) % 0.31/0.55 (step @p385 :rule false_intro :premises (@p513)) % 0.31/0.55 (step @p386 :rule trans :premises (@p385 @p384)) % 0.31/0.55 (step @p387 :rule cong :premises (@p386) :args (@t9)) % 0.31/0.55 (step-pop @p517 :rule scope :premises (@p387)) % 0.31/0.55 (step-pop @p518 :rule scope :premises (@p517)) % 0.31/0.55 (step @p388 :rule process_scope :premises (@p518) :args (@t18)) % 0.31/0.55 (step @p391 :rule and_intro :premises (@p514 @p513)) % 0.31/0.55 (step @p392 :rule modus_ponens :premises (@p391 @p388)) % 0.31/0.55 (step-pop @p519 :rule scope :premises (@p392)) % 0.31/0.55 (step-pop @p520 :rule scope :premises (@p519)) % 0.31/0.55 (step @p393 :rule process_scope :premises (@p520) :args (@t18)) % 0.31/0.55 (step @p396 :rule implies_elim :premises (@p393)) % 0.31/0.55 (step @p397 :rule cnf_and_neg :args (@t46)) % 0.31/0.55 (step @p398 :rule resolution :premises (@p397 @p396) :args (true @t46)) % 0.31/0.55 (step @p399 :rule eq_resolve :premises (@p398 @p378)) % 0.31/0.55 (step @p400 false :rule chain_m_resolution :premises (@p399 @p375 @p263 @p33) :args (false (@list true true true) (@list @t6 @t8 @t18))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------