%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN072-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 : Unsatisfiable 0.30s 0.52s % Output : Proof 0.30s % 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 v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 23:19:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.52 % SZS status Unsatisfiable % 0.30/0.52 % SZS output start Proof % 0.30/0.53 ( % 0.30/0.53 (declare-sort $$unsorted 0) % 0.30/0.53 (declare-const tptp.e $$unsorted) % 0.30/0.53 (declare-const tptp.b $$unsorted) % 0.30/0.53 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.30/0.53 (declare-const tptp.a $$unsorted) % 0.30/0.53 (declare-const tptp.c $$unsorted) % 0.30/0.53 (declare-const tptp.d $$unsorted) % 0.30/0.53 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.53 (define @t2 () (or (= @t1 tptp.c) (= @t1 tptp.d))) % 0.30/0.53 (define @t3 () (forall (@list @t1) @t2)) % 0.30/0.53 (define @t4 () (tptp.big_p tptp.a)) % 0.30/0.53 (define @t5 () (tptp.big_p tptp.b)) % 0.30/0.53 (define @t6 () (= tptp.a tptp.b)) % 0.30/0.53 (define @t7 () (not @t6)) % 0.30/0.53 (define @t8 () (tptp.big_p tptp.e)) % 0.30/0.53 (define @t9 () (not @t8)) % 0.30/0.53 (define @t10 () (= tptp.c tptp.b)) % 0.30/0.53 (define @t11 () (not @t10)) % 0.30/0.53 (define @t12 () (= tptp.c tptp.a)) % 0.30/0.53 (define @t13 () (not @t12)) % 0.30/0.53 (define @t14 () (not @t7)) % 0.30/0.53 (define @t15 () (and @t7 @t12)) % 0.30/0.53 (define @t16 () (= tptp.d tptp.b)) % 0.30/0.53 (define @t17 () (or @t10 @t16)) % 0.30/0.53 (define @t18 () (= tptp.c tptp.e)) % 0.30/0.53 (define @t19 () (not @t18)) % 0.30/0.53 (define @t20 () (not @t4)) % 0.30/0.53 (define @t21 () (not @t9)) % 0.30/0.53 (define @t22 () (= false true)) % 0.30/0.53 (define @t23 () (and @t4 @t12 @t18 @t9)) % 0.30/0.53 (define @t24 () (= tptp.d tptp.e)) % 0.30/0.53 (define @t25 () (or @t18 @t24)) % 0.30/0.53 (define @t26 () (not @t24)) % 0.30/0.53 (define @t27 () (not @t16)) % 0.30/0.53 (define @t28 () (not @t5)) % 0.30/0.53 (define @t29 () (and @t5 @t16 @t24 @t9)) % 0.30/0.53 (define @t30 () (= tptp.d tptp.a)) % 0.30/0.53 (define @t31 () (or @t12 @t30)) % 0.30/0.53 (define @t32 () (@list true false)) % 0.30/0.53 (define @t33 () (not @t30)) % 0.30/0.53 (define @t34 () (and @t16 @t30 @t7)) % 0.30/0.53 (define @t35 () (and @t4 @t30 @t24 @t9)) % 0.30/0.53 (define @t36 () (and @t5 @t10 @t18 @t9)) % 0.30/0.53 (assume @p1 @t3) % 0.30/0.53 (assume @p2 @t4) % 0.30/0.53 (assume @p3 @t5) % 0.30/0.53 (assume @p4 @t7) % 0.30/0.53 (assume @p5 @t9) % 0.30/0.53 (step @p6 :rule eq-symm :args (@t1 tptp.d)) % 0.30/0.53 (step @p7 :rule eq-symm :args (@t1 tptp.c)) % 0.30/0.53 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t2)) % 0.30/0.53 (step @p9 :rule cong :premises (@p8) :args (@t3)) % 0.30/0.53 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.30/0.53 (step @p11 :rule instantiate :premises (@p10) :args ((@list tptp.b))) % 0.30/0.53 (step @p12 :rule instantiate :premises (@p10) :args ((@list tptp.a))) % 0.30/0.53 (step @p13 :rule refl :args (@t11)) % 0.30/0.53 (step @p14 :rule refl :args (@t13)) % 0.30/0.53 (step @p15 :rule bool-double-not-elim :args (@t6)) % 0.30/0.53 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args ((or @t14 @t13 @t11))) % 0.30/0.53 (assume-push @p210 @t7) % 0.30/0.53 (assume-push @p211 @t12) % 0.30/0.53 (assume-push @p212 @t7) % 0.30/0.53 (assume-push @p213 @t12) % 0.30/0.53 (step @p21 :rule false_intro :premises (@p4)) % 0.30/0.53 (step @p22 :rule refl :args (tptp.b)) % 0.30/0.53 (step @p23 :rule cong :premises (@p211 @p22) :args (@t10)) % 0.30/0.53 (step @p24 :rule trans :premises (@p23 @p21)) % 0.30/0.53 (step @p25 :rule false_elim :premises (@p24)) % 0.30/0.53 (step-pop @p214 :rule scope :premises (@p25)) % 0.30/0.53 (step-pop @p215 :rule scope :premises (@p214)) % 0.30/0.53 (step @p26 :rule process_scope :premises (@p215) :args (@t11)) % 0.30/0.53 (step @p29 :rule and_intro :premises (@p4 @p211)) % 0.30/0.53 (step @p30 :rule modus_ponens :premises (@p29 @p26)) % 0.30/0.53 (step-pop @p216 :rule scope :premises (@p30)) % 0.30/0.53 (step-pop @p217 :rule scope :premises (@p216)) % 0.30/0.53 (step @p31 :rule process_scope :premises (@p217) :args (@t11)) % 0.30/0.53 (step @p34 :rule implies_elim :premises (@p31)) % 0.30/0.53 (step @p35 :rule cnf_and_neg :args (@t15)) % 0.30/0.53 (step @p36 :rule resolution :premises (@p35 @p34) :args (true @t15)) % 0.30/0.53 (step @p37 :rule eq_resolve :premises (@p36 @p16)) % 0.30/0.53 (step @p38 :rule cnf_or_pos :args (@t17)) % 0.30/0.53 (step @p39 :rule reordering :premises (@p38) :args ((or @t10 @t16 (not @t17)))) % 0.30/0.53 (step @p40 :rule refl :args (@t19)) % 0.30/0.53 (step @p41 :rule bool-double-not-elim :args (@t8)) % 0.30/0.53 (step @p42 :rule refl :args (@t20)) % 0.30/0.53 (step @p43 :rule nary_cong :premises (@p42 @p41 @p14 @p40) :args ((or @t20 @t21 @t13 @t19))) % 0.30/0.53 (assume-push @p218 @t4) % 0.30/0.53 (assume-push @p219 @t12) % 0.30/0.53 (assume-push @p220 @t18) % 0.30/0.53 (assume-push @p221 @t9) % 0.30/0.53 (step @p48 :rule evaluate :args (@t22)) % 0.30/0.53 (step @p49 :rule true_intro :premises (@p2)) % 0.30/0.53 (step @p50 :rule symm :premises (@p220)) % 0.30/0.53 (step @p51 :rule trans :premises (@p50 @p219)) % 0.30/0.53 (step @p52 :rule cong :premises (@p51) :args (@t8)) % 0.30/0.53 (step @p53 :rule false_intro :premises (@p5)) % 0.30/0.53 (step @p54 :rule symm :premises (@p53)) % 0.30/0.53 (step @p55 :rule trans :premises (@p54 @p52 @p49)) % 0.30/0.53 (step @p56 false :rule eq_resolve :premises (@p55 @p48)) % 0.30/0.53 (step-pop @p222 :rule scope :premises (@p56)) % 0.30/0.53 (step-pop @p223 :rule scope :premises (@p222)) % 0.30/0.53 (step-pop @p224 :rule scope :premises (@p223)) % 0.30/0.53 (step-pop @p225 :rule scope :premises (@p224)) % 0.30/0.53 (step @p57 :rule process_scope :premises (@p225) :args (false)) % 0.30/0.53 (assume-push @p226 @t4) % 0.30/0.53 (assume-push @p227 @t9) % 0.30/0.53 (assume-push @p228 @t12) % 0.30/0.53 (assume-push @p229 @t18) % 0.30/0.53 (step @p66 :rule and_intro :premises (@p2 @p228 @p229 @p5)) % 0.30/0.53 (step-pop @p230 :rule scope :premises (@p66)) % 0.30/0.53 (step-pop @p231 :rule scope :premises (@p230)) % 0.30/0.53 (step-pop @p232 :rule scope :premises (@p231)) % 0.30/0.53 (step-pop @p233 :rule scope :premises (@p232)) % 0.30/0.53 (step @p67 :rule process_scope :premises (@p233) :args (@t23)) % 0.30/0.53 (step @p72 :rule implies_elim :premises (@p67)) % 0.30/0.53 (step @p73 :rule resolution :premises (@p72 @p57) :args (true @t23)) % 0.30/0.53 (step @p74 :rule not_and :premises (@p73)) % 0.30/0.53 (step @p75 :rule eq_resolve :premises (@p74 @p43)) % 0.30/0.53 (step @p76 :rule reordering :premises (@p75) :args ((or @t8 @t20 @t13 @t19))) % 0.30/0.53 (step @p77 :rule instantiate :premises (@p10) :args ((@list tptp.e))) % 0.30/0.53 (step @p78 :rule cnf_or_pos :args (@t25)) % 0.30/0.53 (step @p79 :rule reordering :premises (@p78) :args ((or @t18 @t24 (not @t25)))) % 0.30/0.53 (step @p80 :rule refl :args (@t26)) % 0.30/0.53 (step @p81 :rule refl :args (@t27)) % 0.30/0.53 (step @p82 :rule refl :args (@t28)) % 0.30/0.53 (step @p83 :rule nary_cong :premises (@p82 @p41 @p81 @p80) :args ((or @t28 @t21 @t27 @t26))) % 0.30/0.53 (assume-push @p234 @t5) % 0.30/0.53 (assume-push @p235 @t16) % 0.30/0.53 (assume-push @p236 @t24) % 0.30/0.53 (assume-push @p237 @t9) % 0.30/0.53 (step @p48 :rule evaluate :args (@t22)) % 0.30/0.53 (step @p88 :rule true_intro :premises (@p3)) % 0.30/0.53 (step @p89 :rule symm :premises (@p236)) % 0.30/0.53 (step @p90 :rule trans :premises (@p89 @p235)) % 0.30/0.53 (step @p91 :rule cong :premises (@p90) :args (@t8)) % 0.30/0.53 (step @p53 :rule false_intro :premises (@p5)) % 0.30/0.53 (step @p54 :rule symm :premises (@p53)) % 0.30/0.53 (step @p92 :rule trans :premises (@p54 @p91 @p88)) % 0.30/0.53 (step @p93 false :rule eq_resolve :premises (@p92 @p48)) % 0.30/0.53 (step-pop @p238 :rule scope :premises (@p93)) % 0.30/0.53 (step-pop @p239 :rule scope :premises (@p238)) % 0.30/0.53 (step-pop @p240 :rule scope :premises (@p239)) % 0.30/0.53 (step-pop @p241 :rule scope :premises (@p240)) % 0.30/0.53 (step @p94 :rule process_scope :premises (@p241) :args (false)) % 0.30/0.53 (assume-push @p242 @t5) % 0.30/0.53 (assume-push @p243 @t9) % 0.30/0.53 (assume-push @p244 @t16) % 0.30/0.53 (assume-push @p245 @t24) % 0.30/0.53 (step @p103 :rule and_intro :premises (@p3 @p244 @p245 @p5)) % 0.30/0.53 (step-pop @p246 :rule scope :premises (@p103)) % 0.30/0.53 (step-pop @p247 :rule scope :premises (@p246)) % 0.30/0.53 (step-pop @p248 :rule scope :premises (@p247)) % 0.30/0.53 (step-pop @p249 :rule scope :premises (@p248)) % 0.30/0.53 (step @p104 :rule process_scope :premises (@p249) :args (@t29)) % 0.30/0.53 (step @p109 :rule implies_elim :premises (@p104)) % 0.30/0.53 (step @p110 :rule resolution :premises (@p109 @p94) :args (true @t29)) % 0.30/0.53 (step @p111 :rule not_and :premises (@p110)) % 0.30/0.53 (step @p112 :rule eq_resolve :premises (@p111 @p83)) % 0.30/0.53 (step @p113 :rule reordering :premises (@p112) :args ((or @t8 @t28 @t27 @t26))) % 0.30/0.53 (step @p114 :rule chain_m_resolution :premises (@p113 @p5 @p3 @p79 @p77 @p76 @p5 @p2 @p39 @p11 @p37 @p4) :args (@t13 (@list true false false false true true false false false true true) (@list @t8 @t5 @t24 @t25 @t18 @t8 @t4 @t16 @t17 @t10 @t6))) % 0.30/0.53 (step @p115 :rule cnf_or_pos :args (@t31)) % 0.30/0.53 (step @p116 :rule reordering :premises (@p115) :args ((or @t12 @t30 (not @t31)))) % 0.30/0.53 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p12) :args (@t30 @t32 (@list @t12 @t31))) % 0.30/0.53 (step @p118 :rule refl :args (@t33)) % 0.30/0.53 (step @p119 :rule nary_cong :premises (@p15 @p118 @p81) :args ((or @t14 @t33 @t27))) % 0.30/0.53 (assume-push @p250 @t16) % 0.30/0.53 (assume-push @p251 @t30) % 0.30/0.53 (assume-push @p252 @t7) % 0.30/0.53 (step @p48 :rule evaluate :args (@t22)) % 0.30/0.53 (step @p123 :rule symm :premises (@p251)) % 0.30/0.53 (step @p124 :rule trans :premises (@p123 @p250)) % 0.30/0.53 (step @p125 :rule true_intro :premises (@p124)) % 0.30/0.53 (step @p21 :rule false_intro :premises (@p4)) % 0.30/0.53 (step @p126 :rule symm :premises (@p21)) % 0.30/0.53 (step @p127 :rule trans :premises (@p126 @p125)) % 0.30/0.53 (step @p128 false :rule eq_resolve :premises (@p127 @p48)) % 0.30/0.53 (step-pop @p253 :rule scope :premises (@p128)) % 0.30/0.53 (step-pop @p254 :rule scope :premises (@p253)) % 0.30/0.53 (step-pop @p255 :rule scope :premises (@p254)) % 0.30/0.53 (step @p129 :rule process_scope :premises (@p255) :args (false)) % 0.30/0.53 (assume-push @p256 @t7) % 0.30/0.53 (assume-push @p257 @t30) % 0.30/0.53 (assume-push @p258 @t16) % 0.30/0.53 (step @p136 :rule and_intro :premises (@p258 @p257 @p4)) % 0.30/0.53 (step-pop @p259 :rule scope :premises (@p136)) % 0.30/0.53 (step-pop @p260 :rule scope :premises (@p259)) % 0.30/0.53 (step-pop @p261 :rule scope :premises (@p260)) % 0.30/0.53 (step @p137 :rule process_scope :premises (@p261) :args (@t34)) % 0.30/0.53 (step @p141 :rule implies_elim :premises (@p137)) % 0.30/0.53 (step @p142 :rule resolution :premises (@p141 @p129) :args (true @t34)) % 0.30/0.53 (step @p143 :rule not_and :premises (@p142)) % 0.30/0.53 (step @p144 :rule eq_resolve :premises (@p143 @p119)) % 0.30/0.53 (step @p145 :rule chain_m_resolution :premises (@p144 @p4 @p117) :args (@t27 @t32 (@list @t6 @t30))) % 0.30/0.53 (step @p146 :rule chain_m_resolution :premises (@p39 @p145 @p11) :args (@t10 @t32 (@list @t16 @t17))) % 0.30/0.53 (step @p147 :rule nary_cong :premises (@p42 @p41 @p118 @p80) :args ((or @t20 @t21 @t33 @t26))) % 0.30/0.53 (assume-push @p262 @t4) % 0.30/0.53 (assume-push @p263 @t30) % 0.30/0.53 (assume-push @p264 @t24) % 0.30/0.53 (assume-push @p265 @t9) % 0.30/0.53 (step @p48 :rule evaluate :args (@t22)) % 0.30/0.53 (step @p49 :rule true_intro :premises (@p2)) % 0.30/0.53 (step @p152 :rule symm :premises (@p264)) % 0.30/0.53 (step @p153 :rule trans :premises (@p152 @p263)) % 0.30/0.53 (step @p154 :rule cong :premises (@p153) :args (@t8)) % 0.30/0.53 (step @p53 :rule false_intro :premises (@p5)) % 0.30/0.53 (step @p54 :rule symm :premises (@p53)) % 0.30/0.53 (step @p155 :rule trans :premises (@p54 @p154 @p49)) % 0.30/0.53 (step @p156 false :rule eq_resolve :premises (@p155 @p48)) % 0.30/0.53 (step-pop @p266 :rule scope :premises (@p156)) % 0.30/0.53 (step-pop @p267 :rule scope :premises (@p266)) % 0.30/0.53 (step-pop @p268 :rule scope :premises (@p267)) % 0.30/0.53 (step-pop @p269 :rule scope :premises (@p268)) % 0.30/0.53 (step @p157 :rule process_scope :premises (@p269) :args (false)) % 0.30/0.53 (assume-push @p270 @t4) % 0.30/0.53 (assume-push @p271 @t9) % 0.30/0.53 (assume-push @p272 @t30) % 0.30/0.53 (assume-push @p273 @t24) % 0.30/0.53 (step @p166 :rule and_intro :premises (@p2 @p272 @p273 @p5)) % 0.30/0.53 (step-pop @p274 :rule scope :premises (@p166)) % 0.30/0.53 (step-pop @p275 :rule scope :premises (@p274)) % 0.30/0.53 (step-pop @p276 :rule scope :premises (@p275)) % 0.30/0.53 (step-pop @p277 :rule scope :premises (@p276)) % 0.30/0.53 (step @p167 :rule process_scope :premises (@p277) :args (@t35)) % 0.30/0.53 (step @p172 :rule implies_elim :premises (@p167)) % 0.30/0.53 (step @p173 :rule resolution :premises (@p172 @p157) :args (true @t35)) % 0.30/0.53 (step @p174 :rule not_and :premises (@p173)) % 0.30/0.53 (step @p175 :rule eq_resolve :premises (@p174 @p147)) % 0.30/0.53 (step @p176 :rule reordering :premises (@p175) :args ((or @t8 @t20 @t33 @t26))) % 0.30/0.53 (step @p177 :rule chain_m_resolution :premises (@p176 @p5 @p2 @p117) :args (@t26 (@list true false false) (@list @t8 @t4 @t30))) % 0.30/0.53 (step @p178 :rule chain_m_resolution :premises (@p79 @p177 @p77) :args (@t18 @t32 (@list @t24 @t25))) % 0.30/0.53 (step @p179 :rule nary_cong :premises (@p82 @p41 @p13 @p40) :args ((or @t28 @t21 @t11 @t19))) % 0.30/0.53 (assume-push @p278 @t5) % 0.30/0.53 (assume-push @p279 @t10) % 0.30/0.53 (assume-push @p280 @t18) % 0.30/0.53 (assume-push @p281 @t9) % 0.30/0.53 (step @p48 :rule evaluate :args (@t22)) % 0.30/0.53 (step @p88 :rule true_intro :premises (@p3)) % 0.30/0.53 (step @p184 :rule symm :premises (@p280)) % 0.30/0.53 (step @p185 :rule trans :premises (@p184 @p279)) % 0.30/0.53 (step @p186 :rule cong :premises (@p185) :args (@t8)) % 0.30/0.53 (step @p53 :rule false_intro :premises (@p5)) % 0.30/0.53 (step @p54 :rule symm :premises (@p53)) % 0.30/0.53 (step @p187 :rule trans :premises (@p54 @p186 @p88)) % 0.30/0.53 (step @p188 false :rule eq_resolve :premises (@p187 @p48)) % 0.30/0.53 (step-pop @p282 :rule scope :premises (@p188)) % 0.30/0.53 (step-pop @p283 :rule scope :premises (@p282)) % 0.30/0.53 (step-pop @p284 :rule scope :premises (@p283)) % 0.30/0.53 (step-pop @p285 :rule scope :premises (@p284)) % 0.30/0.53 (step @p189 :rule process_scope :premises (@p285) :args (false)) % 0.30/0.53 (assume-push @p286 @t5) % 0.30/0.53 (assume-push @p287 @t9) % 0.30/0.53 (assume-push @p288 @t10) % 0.30/0.53 (assume-push @p289 @t18) % 0.30/0.53 (step @p198 :rule and_intro :premises (@p3 @p288 @p289 @p5)) % 0.30/0.53 (step-pop @p290 :rule scope :premises (@p198)) % 0.30/0.53 (step-pop @p291 :rule scope :premises (@p290)) % 0.30/0.53 (step-pop @p292 :rule scope :premises (@p291)) % 0.30/0.53 (step-pop @p293 :rule scope :premises (@p292)) % 0.30/0.53 (step @p199 :rule process_scope :premises (@p293) :args (@t36)) % 0.30/0.53 (step @p204 :rule implies_elim :premises (@p199)) % 0.30/0.53 (step @p205 :rule resolution :premises (@p204 @p189) :args (true @t36)) % 0.30/0.53 (step @p206 :rule not_and :premises (@p205)) % 0.30/0.53 (step @p207 :rule eq_resolve :premises (@p206 @p179)) % 0.30/0.53 (step @p208 :rule reordering :premises (@p207) :args ((or @t8 @t28 @t11 @t19))) % 0.30/0.53 (step @p209 false :rule chain_m_resolution :premises (@p208 @p178 @p146 @p5 @p3) :args (false (@list false false true false) (@list @t18 @t10 @t8 @t5))) % 0.30/0.53 ) % 0.30/0.53 % SZS output end Proof % 0.30/0.53 % cvc5 exiting %------------------------------------------------------------------------------