%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN072+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 09:08:00 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN072+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n027.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:20:21 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.b $$unsorted) % 0.40/0.57 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.a $$unsorted) % 0.40/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.40/0.57 (define @t2 () (@var "Z" $$unsorted)) % 0.40/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.40/0.57 (define @t4 () (or (= @t2 @t3) (= @t2 @t1))) % 0.40/0.57 (define @t5 () (@list @t2)) % 0.40/0.57 (define @t6 () (forall @t5 @t4)) % 0.40/0.57 (define @t7 () (@list @t3 @t1)) % 0.40/0.57 (define @t8 () (exists @t7 @t6)) % 0.40/0.57 (define @t9 () (tptp.big_p tptp.a)) % 0.40/0.57 (define @t10 () (tptp.big_p tptp.b)) % 0.40/0.57 (define @t11 () (= tptp.a tptp.b)) % 0.40/0.57 (define @t12 () (not @t11)) % 0.40/0.57 (define @t13 () (forall (@list @t3) (tptp.big_p @t3))) % 0.40/0.57 (define @t14 () (forall @t5 (or (= @t3 @t2) (= @t1 @t2)))) % 0.40/0.57 (define @t15 () (forall @t7 (not @t14))) % 0.40/0.57 (define @t16 () (not @t15)) % 0.40/0.57 (define @t17 () (@quantifiers_skolemize @t15 1)) % 0.40/0.57 (define @t18 () (@quantifiers_skolemize @t15 0)) % 0.40/0.57 (define @t19 () (forall @t5 (or (= @t2 @t18) (= @t2 @t17)))) % 0.40/0.57 (define @t20 () (or (= @t18 @t2) (= @t17 @t2))) % 0.40/0.57 (define @t21 () (forall @t5 @t20)) % 0.40/0.57 (define @t22 () (not (not @t21))) % 0.40/0.57 (define @t23 () (@quantifiers_skolemize @t13 0)) % 0.40/0.57 (define @t24 () (or (= @t23 @t18) (= @t23 @t17))) % 0.40/0.57 (define @t25 () (= @t17 @t23)) % 0.40/0.57 (define @t26 () (= @t18 @t23)) % 0.40/0.57 (define @t27 () (or @t26 @t25)) % 0.40/0.57 (define @t28 () (not @t25)) % 0.40/0.57 (define @t29 () (= tptp.a @t17)) % 0.40/0.57 (define @t30 () (not @t29)) % 0.40/0.57 (define @t31 () (tptp.big_p @t23)) % 0.40/0.57 (define @t32 () (not @t9)) % 0.40/0.57 (define @t33 () (not @t31)) % 0.40/0.57 (define @t34 () (not @t33)) % 0.40/0.57 (define @t35 () (= true false)) % 0.40/0.57 (define @t36 () (and @t33 @t25 @t29 @t9)) % 0.40/0.57 (define @t37 () (= tptp.a @t18)) % 0.40/0.57 (define @t38 () (or @t37 @t29)) % 0.40/0.57 (define @t39 () (= tptp.b @t18)) % 0.40/0.57 (define @t40 () (not @t39)) % 0.40/0.57 (define @t41 () (not @t37)) % 0.40/0.57 (define @t42 () (not @t12)) % 0.40/0.57 (define @t43 () (= false true)) % 0.40/0.57 (define @t44 () (and @t37 @t39 @t12)) % 0.40/0.57 (define @t45 () (= tptp.b @t17)) % 0.40/0.57 (define @t46 () (or @t39 @t45)) % 0.40/0.57 (define @t47 () (not @t45)) % 0.40/0.57 (define @t48 () (not @t10)) % 0.40/0.57 (define @t49 () (and @t33 @t25 @t45 @t10)) % 0.40/0.57 (define @t50 () (@list true false)) % 0.40/0.57 (define @t51 () (not @t26)) % 0.40/0.57 (define @t52 () (and @t33 @t26 @t37 @t9)) % 0.40/0.57 (define @t53 () (and @t29 @t45 @t12)) % 0.40/0.57 (define @t54 () (and @t33 @t26 @t39 @t10)) % 0.40/0.57 (assume @p1 @t8) % 0.40/0.57 (assume @p2 @t9) % 0.40/0.57 (assume @p3 @t10) % 0.40/0.57 (assume @p4 @t12) % 0.40/0.57 (assume @p5 (not @t13)) % 0.40/0.57 (assume @p6 true) % 0.40/0.57 (step @p7 :rule skolemize :premises (@p5)) % 0.40/0.57 (step @p8 :rule exists-elim :args ((= (exists @t7 @t14) @t16))) % 0.40/0.57 (step @p9 :rule eq-symm :args (@t2 @t1)) % 0.40/0.57 (step @p10 :rule eq-symm :args (@t2 @t3)) % 0.40/0.57 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t4)) % 0.40/0.57 (step @p12 :rule cong :premises (@p11) :args (@t6)) % 0.40/0.57 (step @p13 :rule cong :premises (@p12) :args (@t8)) % 0.40/0.57 (step @p14 :rule trans :premises (@p13 @p8)) % 0.40/0.57 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.40/0.57 (step @p16 :rule refl :args (@t19)) % 0.40/0.57 (step @p17 :rule bool-double-not-elim :args (@t15)) % 0.40/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t16) @t19))) % 0.40/0.57 (step @p19 :rule eq-symm :args (@t17 @t2)) % 0.40/0.57 (step @p20 :rule eq-symm :args (@t18 @t2)) % 0.40/0.57 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t20)) % 0.40/0.57 (step @p22 :rule cong :premises (@p21) :args (@t21)) % 0.40/0.57 (step @p23 :rule bool-double-not-elim :args (@t21)) % 0.40/0.57 (step @p24 :rule trans :premises (@p23 @p22)) % 0.40/0.57 (step @p25 :rule refl :args (@t16)) % 0.40/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t16 @t22))) % 0.40/0.57 (assume-push @p242 @t16) % 0.40/0.57 (step @p28 :rule skolemize :premises (@p15)) % 0.40/0.57 (step-pop @p243 :rule scope :premises (@p28)) % 0.40/0.57 (step @p29 :rule process_scope :premises (@p243) :args (@t22)) % 0.40/0.57 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.40/0.57 (step @p32 :rule implies_elim :premises (@p31)) % 0.40/0.57 (step @p33 :rule eq_resolve :premises (@p32 @p18)) % 0.40/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p15) :args (@t19 (@list true) (@list @t15))) % 0.40/0.57 (step @p35 :rule eq-symm :args (@t23 @t17)) % 0.40/0.57 (step @p36 :rule eq-symm :args (@t23 @t18)) % 0.40/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t24)) % 0.40/0.57 (step @p38 :rule cong :premises (@p16 @p37) :args ((=> @t19 @t24))) % 0.40/0.57 (assume-push @p244 @t19) % 0.40/0.57 (step @p40 :rule instantiate :premises (@p34) :args ((@list @t23))) % 0.40/0.57 (step-pop @p245 :rule scope :premises (@p40)) % 0.40/0.57 (step @p41 :rule process_scope :premises (@p245) :args (@t24)) % 0.40/0.57 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.40/0.57 (step @p44 :rule implies_elim :premises (@p43)) % 0.40/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p34) :args (@t27 (@list false) (@list @t19))) % 0.40/0.57 (step @p46 :rule refl :args (@t28)) % 0.40/0.57 (step @p47 :rule refl :args (@t30)) % 0.40/0.57 (step @p48 :rule bool-double-not-elim :args (@t31)) % 0.40/0.57 (step @p49 :rule refl :args (@t32)) % 0.40/0.57 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46) :args ((or @t32 @t34 @t30 @t28))) % 0.40/0.57 (assume-push @p246 @t33) % 0.40/0.57 (assume-push @p247 @t25) % 0.40/0.57 (assume-push @p248 @t29) % 0.40/0.57 (assume-push @p249 @t9) % 0.40/0.57 (step @p55 :rule evaluate :args (@t35)) % 0.40/0.57 (step @p56 :rule false_intro :premises (@p7)) % 0.40/0.57 (step @p57 :rule trans :premises (@p248 @p247)) % 0.40/0.57 (step @p58 :rule cong :premises (@p57) :args (@t9)) % 0.40/0.57 (step @p59 :rule true_intro :premises (@p2)) % 0.40/0.57 (step @p60 :rule symm :premises (@p59)) % 0.40/0.57 (step @p61 :rule trans :premises (@p60 @p58 @p56)) % 0.40/0.57 (step @p62 false :rule eq_resolve :premises (@p61 @p55)) % 0.40/0.57 (step-pop @p250 :rule scope :premises (@p62)) % 0.40/0.57 (step-pop @p251 :rule scope :premises (@p250)) % 0.40/0.57 (step-pop @p252 :rule scope :premises (@p251)) % 0.40/0.57 (step-pop @p253 :rule scope :premises (@p252)) % 0.40/0.57 (step @p63 :rule process_scope :premises (@p253) :args (false)) % 0.40/0.57 (assume-push @p254 @t9) % 0.40/0.57 (assume-push @p255 @t33) % 0.40/0.57 (assume-push @p256 @t29) % 0.40/0.57 (assume-push @p257 @t25) % 0.40/0.57 (step @p72 :rule and_intro :premises (@p7 @p257 @p256 @p2)) % 0.40/0.57 (step-pop @p258 :rule scope :premises (@p72)) % 0.40/0.57 (step-pop @p259 :rule scope :premises (@p258)) % 0.40/0.57 (step-pop @p260 :rule scope :premises (@p259)) % 0.40/0.57 (step-pop @p261 :rule scope :premises (@p260)) % 0.40/0.57 (step @p73 :rule process_scope :premises (@p261) :args (@t36)) % 0.40/0.57 (step @p78 :rule implies_elim :premises (@p73)) % 0.40/0.57 (step @p79 :rule resolution :premises (@p78 @p63) :args (true @t36)) % 0.40/0.57 (step @p80 :rule not_and :premises (@p79)) % 0.40/0.57 (step @p81 :rule eq_resolve :premises (@p80 @p50)) % 0.40/0.57 (step @p82 :rule instantiate :premises (@p34) :args ((@list tptp.a))) % 0.40/0.57 (step @p83 :rule cnf_or_pos :args (@t38)) % 0.40/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t37 @t29 (not @t38)))) % 0.40/0.57 (step @p85 :rule refl :args (@t40)) % 0.40/0.57 (step @p86 :rule refl :args (@t41)) % 0.40/0.57 (step @p87 :rule bool-double-not-elim :args (@t11)) % 0.40/0.57 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85) :args ((or @t42 @t41 @t40))) % 0.40/0.57 (assume-push @p262 @t37) % 0.40/0.57 (assume-push @p263 @t39) % 0.40/0.57 (assume-push @p264 @t12) % 0.40/0.57 (step @p92 :rule evaluate :args (@t43)) % 0.40/0.57 (step @p93 :rule symm :premises (@p263)) % 0.40/0.57 (step @p94 :rule trans :premises (@p262 @p93)) % 0.40/0.57 (step @p95 :rule true_intro :premises (@p94)) % 0.40/0.57 (step @p96 :rule false_intro :premises (@p4)) % 0.40/0.57 (step @p97 :rule symm :premises (@p96)) % 0.40/0.57 (step @p98 :rule trans :premises (@p97 @p95)) % 0.40/0.57 (step @p99 false :rule eq_resolve :premises (@p98 @p92)) % 0.40/0.57 (step-pop @p265 :rule scope :premises (@p99)) % 0.40/0.57 (step-pop @p266 :rule scope :premises (@p265)) % 0.40/0.57 (step-pop @p267 :rule scope :premises (@p266)) % 0.40/0.57 (step @p100 :rule process_scope :premises (@p267) :args (false)) % 0.40/0.57 (assume-push @p268 @t12) % 0.40/0.57 (assume-push @p269 @t37) % 0.40/0.57 (assume-push @p270 @t39) % 0.40/0.57 (step @p107 :rule and_intro :premises (@p269 @p270 @p4)) % 0.40/0.57 (step-pop @p271 :rule scope :premises (@p107)) % 0.40/0.57 (step-pop @p272 :rule scope :premises (@p271)) % 0.40/0.57 (step-pop @p273 :rule scope :premises (@p272)) % 0.40/0.57 (step @p108 :rule process_scope :premises (@p273) :args (@t44)) % 0.40/0.57 (step @p112 :rule implies_elim :premises (@p108)) % 0.40/0.57 (step @p113 :rule resolution :premises (@p112 @p100) :args (true @t44)) % 0.40/0.57 (step @p114 :rule not_and :premises (@p113)) % 0.40/0.57 (step @p115 :rule eq_resolve :premises (@p114 @p88)) % 0.40/0.57 (step @p116 :rule instantiate :premises (@p34) :args ((@list tptp.b))) % 0.40/0.57 (step @p117 :rule cnf_or_pos :args (@t46)) % 0.40/0.57 (step @p118 :rule reordering :premises (@p117) :args ((or @t39 @t45 (not @t46)))) % 0.40/0.57 (step @p119 :rule refl :args (@t47)) % 0.40/0.57 (step @p120 :rule refl :args (@t48)) % 0.40/0.57 (step @p121 :rule nary_cong :premises (@p120 @p48 @p119 @p46) :args ((or @t48 @t34 @t47 @t28))) % 0.40/0.57 (assume-push @p274 @t33) % 0.40/0.57 (assume-push @p275 @t25) % 0.40/0.57 (assume-push @p276 @t45) % 0.40/0.57 (assume-push @p277 @t10) % 0.40/0.57 (step @p55 :rule evaluate :args (@t35)) % 0.40/0.57 (step @p56 :rule false_intro :premises (@p7)) % 0.40/0.57 (step @p126 :rule trans :premises (@p276 @p275)) % 0.40/0.57 (step @p127 :rule cong :premises (@p126) :args (@t10)) % 0.40/0.57 (step @p128 :rule true_intro :premises (@p3)) % 0.40/0.57 (step @p129 :rule symm :premises (@p128)) % 0.40/0.57 (step @p130 :rule trans :premises (@p129 @p127 @p56)) % 0.40/0.57 (step @p131 false :rule eq_resolve :premises (@p130 @p55)) % 0.40/0.57 (step-pop @p278 :rule scope :premises (@p131)) % 0.40/0.57 (step-pop @p279 :rule scope :premises (@p278)) % 0.40/0.57 (step-pop @p280 :rule scope :premises (@p279)) % 0.40/0.57 (step-pop @p281 :rule scope :premises (@p280)) % 0.40/0.57 (step @p132 :rule process_scope :premises (@p281) :args (false)) % 0.40/0.57 (assume-push @p282 @t10) % 0.40/0.57 (assume-push @p283 @t33) % 0.40/0.57 (assume-push @p284 @t45) % 0.40/0.57 (assume-push @p285 @t25) % 0.40/0.57 (step @p141 :rule and_intro :premises (@p7 @p285 @p284 @p3)) % 0.40/0.57 (step-pop @p286 :rule scope :premises (@p141)) % 0.40/0.57 (step-pop @p287 :rule scope :premises (@p286)) % 0.40/0.57 (step-pop @p288 :rule scope :premises (@p287)) % 0.40/0.57 (step-pop @p289 :rule scope :premises (@p288)) % 0.40/0.57 (step @p142 :rule process_scope :premises (@p289) :args (@t49)) % 0.40/0.57 (step @p147 :rule implies_elim :premises (@p142)) % 0.40/0.57 (step @p148 :rule resolution :premises (@p147 @p132) :args (true @t49)) % 0.40/0.57 (step @p149 :rule not_and :premises (@p148)) % 0.40/0.57 (step @p150 :rule eq_resolve :premises (@p149 @p121)) % 0.40/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p7 @p3 @p118 @p116 @p115 @p4 @p84 @p82 @p81 @p7 @p2) :args (@t28 (@list true false false false true true false false true true false) (@list @t31 @t10 @t45 @t46 @t39 @t11 @t37 @t38 @t29 @t31 @t9))) % 0.40/0.57 (step @p152 :rule cnf_or_pos :args (@t27)) % 0.40/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t26 @t25 (not @t27)))) % 0.40/0.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p45) :args (@t26 @t50 (@list @t25 @t27))) % 0.40/0.57 (step @p155 :rule refl :args (@t51)) % 0.40/0.57 (step @p156 :rule nary_cong :premises (@p49 @p48 @p86 @p155) :args ((or @t32 @t34 @t41 @t51))) % 0.40/0.57 (assume-push @p290 @t33) % 0.40/0.57 (assume-push @p291 @t26) % 0.40/0.57 (assume-push @p292 @t37) % 0.40/0.57 (assume-push @p293 @t9) % 0.40/0.57 (step @p55 :rule evaluate :args (@t35)) % 0.40/0.57 (step @p56 :rule false_intro :premises (@p7)) % 0.40/0.57 (step @p161 :rule trans :premises (@p292 @p291)) % 0.40/0.57 (step @p162 :rule cong :premises (@p161) :args (@t9)) % 0.40/0.57 (step @p59 :rule true_intro :premises (@p2)) % 0.40/0.57 (step @p60 :rule symm :premises (@p59)) % 0.40/0.57 (step @p163 :rule trans :premises (@p60 @p162 @p56)) % 0.40/0.57 (step @p164 false :rule eq_resolve :premises (@p163 @p55)) % 0.40/0.57 (step-pop @p294 :rule scope :premises (@p164)) % 0.40/0.57 (step-pop @p295 :rule scope :premises (@p294)) % 0.40/0.57 (step-pop @p296 :rule scope :premises (@p295)) % 0.40/0.57 (step-pop @p297 :rule scope :premises (@p296)) % 0.40/0.57 (step @p165 :rule process_scope :premises (@p297) :args (false)) % 0.40/0.57 (assume-push @p298 @t9) % 0.40/0.57 (assume-push @p299 @t33) % 0.40/0.57 (assume-push @p300 @t37) % 0.40/0.57 (assume-push @p301 @t26) % 0.40/0.57 (step @p174 :rule and_intro :premises (@p7 @p301 @p300 @p2)) % 0.40/0.57 (step-pop @p302 :rule scope :premises (@p174)) % 0.40/0.57 (step-pop @p303 :rule scope :premises (@p302)) % 0.40/0.57 (step-pop @p304 :rule scope :premises (@p303)) % 0.40/0.57 (step-pop @p305 :rule scope :premises (@p304)) % 0.40/0.57 (step @p175 :rule process_scope :premises (@p305) :args (@t52)) % 0.40/0.57 (step @p180 :rule implies_elim :premises (@p175)) % 0.40/0.57 (step @p181 :rule resolution :premises (@p180 @p165) :args (true @t52)) % 0.40/0.57 (step @p182 :rule not_and :premises (@p181)) % 0.40/0.57 (step @p183 :rule eq_resolve :premises (@p182 @p156)) % 0.40/0.57 (step @p184 :rule chain_m_resolution :premises (@p183 @p2 @p7 @p154) :args (@t41 (@list false true false) (@list @t9 @t31 @t26))) % 0.40/0.57 (step @p185 :rule chain_m_resolution :premises (@p84 @p184 @p82) :args (@t29 @t50 (@list @t37 @t38))) % 0.40/0.57 (step @p186 :rule nary_cong :premises (@p87 @p47 @p119) :args ((or @t42 @t30 @t47))) % 0.40/0.57 (assume-push @p306 @t29) % 0.40/0.57 (assume-push @p307 @t45) % 0.40/0.57 (assume-push @p308 @t12) % 0.40/0.57 (step @p92 :rule evaluate :args (@t43)) % 0.40/0.57 (step @p190 :rule symm :premises (@p307)) % 0.40/0.57 (step @p191 :rule trans :premises (@p306 @p190)) % 0.40/0.57 (step @p192 :rule true_intro :premises (@p191)) % 0.40/0.57 (step @p96 :rule false_intro :premises (@p4)) % 0.40/0.57 (step @p97 :rule symm :premises (@p96)) % 0.40/0.57 (step @p193 :rule trans :premises (@p97 @p192)) % 0.40/0.57 (step @p194 false :rule eq_resolve :premises (@p193 @p92)) % 0.40/0.57 (step-pop @p309 :rule scope :premises (@p194)) % 0.40/0.57 (step-pop @p310 :rule scope :premises (@p309)) % 0.40/0.57 (step-pop @p311 :rule scope :premises (@p310)) % 0.40/0.57 (step @p195 :rule process_scope :premises (@p311) :args (false)) % 0.40/0.57 (assume-push @p312 @t12) % 0.40/0.57 (assume-push @p313 @t29) % 0.40/0.57 (assume-push @p314 @t45) % 0.40/0.57 (step @p202 :rule and_intro :premises (@p313 @p314 @p4)) % 0.40/0.57 (step-pop @p315 :rule scope :premises (@p202)) % 0.40/0.57 (step-pop @p316 :rule scope :premises (@p315)) % 0.40/0.57 (step-pop @p317 :rule scope :premises (@p316)) % 0.40/0.57 (step @p203 :rule process_scope :premises (@p317) :args (@t53)) % 0.40/0.57 (step @p207 :rule implies_elim :premises (@p203)) % 0.40/0.57 (step @p208 :rule resolution :premises (@p207 @p195) :args (true @t53)) % 0.40/0.57 (step @p209 :rule not_and :premises (@p208)) % 0.40/0.57 (step @p210 :rule eq_resolve :premises (@p209 @p186)) % 0.40/0.57 (step @p211 :rule chain_m_resolution :premises (@p210 @p4 @p185) :args (@t47 @t50 (@list @t11 @t29))) % 0.40/0.57 (step @p212 :rule chain_m_resolution :premises (@p118 @p211 @p116) :args (@t39 @t50 (@list @t45 @t46))) % 0.40/0.57 (step @p213 :rule nary_cong :premises (@p120 @p48 @p85 @p155) :args ((or @t48 @t34 @t40 @t51))) % 0.40/0.57 (assume-push @p318 @t33) % 0.40/0.57 (assume-push @p319 @t26) % 0.40/0.57 (assume-push @p320 @t39) % 0.40/0.57 (assume-push @p321 @t10) % 0.40/0.57 (step @p55 :rule evaluate :args (@t35)) % 0.40/0.57 (step @p56 :rule false_intro :premises (@p7)) % 0.40/0.57 (step @p218 :rule trans :premises (@p320 @p319)) % 0.40/0.57 (step @p219 :rule cong :premises (@p218) :args (@t10)) % 0.40/0.57 (step @p128 :rule true_intro :premises (@p3)) % 0.40/0.57 (step @p129 :rule symm :premises (@p128)) % 0.40/0.57 (step @p220 :rule trans :premises (@p129 @p219 @p56)) % 0.40/0.57 (step @p221 false :rule eq_resolve :premises (@p220 @p55)) % 0.40/0.57 (step-pop @p322 :rule scope :premises (@p221)) % 0.40/0.57 (step-pop @p323 :rule scope :premises (@p322)) % 0.40/0.57 (step-pop @p324 :rule scope :premises (@p323)) % 0.40/0.57 (step-pop @p325 :rule scope :premises (@p324)) % 0.40/0.57 (step @p222 :rule process_scope :premises (@p325) :args (false)) % 0.40/0.57 (assume-push @p326 @t10) % 0.40/0.57 (assume-push @p327 @t33) % 0.40/0.57 (assume-push @p328 @t39) % 0.40/0.57 (assume-push @p329 @t26) % 0.40/0.57 (step @p231 :rule and_intro :premises (@p7 @p329 @p328 @p3)) % 0.40/0.57 (step-pop @p330 :rule scope :premises (@p231)) % 0.40/0.57 (step-pop @p331 :rule scope :premises (@p330)) % 0.40/0.57 (step-pop @p332 :rule scope :premises (@p331)) % 0.40/0.57 (step-pop @p333 :rule scope :premises (@p332)) % 0.40/0.57 (step @p232 :rule process_scope :premises (@p333) :args (@t54)) % 0.40/0.57 (step @p237 :rule implies_elim :premises (@p232)) % 0.40/0.57 (step @p238 :rule resolution :premises (@p237 @p222) :args (true @t54)) % 0.40/0.57 (step @p239 :rule not_and :premises (@p238)) % 0.40/0.57 (step @p240 :rule eq_resolve :premises (@p239 @p213)) % 0.40/0.57 (step @p241 false :rule chain_m_resolution :premises (@p240 @p212 @p154 @p7 @p3) :args (false (@list false false true false) (@list @t39 @t26 @t31 @t10))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------