%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN374+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 : n013.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 09:08:43 AM UTC 2026 % Result : Theorem 0.35s 0.57s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN374+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:25:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.35/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.57 % SZS status Theorem % 0.35/0.57 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-sort $$unsorted 0) % 0.35/0.57 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.35/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.35/0.57 (define @t2 () (tptp.big_p @t1)) % 0.35/0.57 (define @t3 () (@list @t1)) % 0.35/0.57 (define @t4 () (forall @t3 @t2)) % 0.35/0.57 (define @t5 () (@var "X" $$unsorted)) % 0.35/0.57 (define @t6 () (tptp.big_p @t5)) % 0.35/0.57 (define @t7 () (@list @t5)) % 0.35/0.57 (define @t8 () (exists @t7 @t6)) % 0.35/0.57 (define @t9 () (= @t8 @t4)) % 0.35/0.57 (define @t10 () (forall @t3 (= @t6 @t2))) % 0.35/0.57 (define @t11 () (exists @t7 @t10)) % 0.35/0.57 (define @t12 () (= @t11 @t9)) % 0.35/0.57 (define @t13 () (not @t12)) % 0.35/0.57 (define @t14 () (forall @t7 (not @t6))) % 0.35/0.57 (define @t15 () (not @t14)) % 0.35/0.57 (define @t16 () (= @t4 @t15)) % 0.35/0.57 (define @t17 () (not @t16)) % 0.35/0.57 (define @t18 () (forall @t7 (not @t10))) % 0.35/0.57 (define @t19 () (not @t18)) % 0.35/0.57 (define @t20 () (not @t19)) % 0.35/0.57 (define @t21 () (@quantifiers_skolemize @t18 0)) % 0.35/0.57 (define @t22 () (tptp.big_p @t21)) % 0.35/0.57 (define @t23 () (forall @t3 (= @t2 @t22))) % 0.35/0.57 (define @t24 () (forall @t3 (= @t22 @t2))) % 0.35/0.57 (define @t25 () (not @t24)) % 0.35/0.57 (define @t26 () (not @t25)) % 0.35/0.57 (define @t27 () (@quantifiers_skolemize @t14 0)) % 0.35/0.57 (define @t28 () (tptp.big_p @t27)) % 0.35/0.57 (define @t29 () (= @t28 @t22)) % 0.35/0.57 (define @t30 () (@quantifiers_skolemize @t4 0)) % 0.35/0.57 (define @t31 () (tptp.big_p @t30)) % 0.35/0.57 (define @t32 () (= @t31 @t22)) % 0.35/0.57 (define @t33 () (= @t22 @t28)) % 0.35/0.57 (define @t34 () (not @t33)) % 0.35/0.57 (define @t35 () (not @t28)) % 0.35/0.57 (define @t36 () (not @t15)) % 0.35/0.57 (define @t37 () (not @t35)) % 0.35/0.57 (define @t38 () (@list @t21)) % 0.35/0.57 (define @t39 () (= @t22 @t31)) % 0.35/0.57 (define @t40 () (not @t22)) % 0.35/0.57 (define @t41 () (not @t31)) % 0.35/0.57 (define @t42 () (not @t4)) % 0.35/0.57 (define @t43 () (@list false)) % 0.35/0.57 (define @t44 () (@list @t18)) % 0.35/0.57 (define @t45 () (not @t23)) % 0.35/0.57 (define @t46 () (@quantifiers_skolemize @t23 0)) % 0.35/0.57 (define @t47 () (tptp.big_p @t46)) % 0.35/0.57 (define @t48 () (= @t22 @t47)) % 0.35/0.57 (define @t49 () (not @t48)) % 0.35/0.57 (define @t50 () (not (= @t47 @t22))) % 0.35/0.57 (define @t51 () (not @t47)) % 0.35/0.57 (define @t52 () (@list @t46)) % 0.35/0.57 (assume @p1 @t13) % 0.35/0.57 (assume @p2 true) % 0.35/0.57 (step @p3 :rule refl :args (@t17)) % 0.35/0.57 (step @p4 :rule bool-double-not-elim :args (@t18)) % 0.35/0.57 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t20 @t17))) % 0.35/0.57 (step @p6 :rule eq-symm :args (@t15 @t4)) % 0.35/0.57 (step @p7 :rule refl :args (@t4)) % 0.35/0.57 (step @p8 :rule exists-elim :args ((= @t8 @t15))) % 0.35/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t9)) % 0.35/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.35/0.57 (step @p11 :rule exists-elim :args ((= @t11 @t19))) % 0.35/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t12)) % 0.35/0.57 (step @p13 :rule cong :premises (@p12) :args (@t13)) % 0.35/0.57 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.35/0.57 (step @p15 :rule not_equiv_elim2 :premises (@p14)) % 0.35/0.57 (step @p16 :rule eq_resolve :premises (@p15 @p5)) % 0.35/0.57 (step @p17 :rule refl :args (@t23)) % 0.35/0.57 (step @p18 :rule nary_cong :premises (@p4 @p17) :args ((or @t20 @t23))) % 0.35/0.57 (step @p19 :rule eq-symm :args (@t22 @t2)) % 0.35/0.57 (step @p20 :rule cong :premises (@p19) :args (@t24)) % 0.35/0.57 (step @p21 :rule bool-double-not-elim :args (@t24)) % 0.35/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.35/0.57 (step @p23 :rule refl :args (@t19)) % 0.35/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t19 @t26))) % 0.35/0.57 (assume-push @p144 @t19) % 0.35/0.57 (step @p26 :rule skolemize :premises (@p144)) % 0.35/0.57 (step-pop @p145 :rule scope :premises (@p26)) % 0.35/0.57 (step @p27 :rule process_scope :premises (@p145) :args (@t26)) % 0.35/0.57 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.35/0.57 (step @p30 :rule implies_elim :premises (@p29)) % 0.35/0.57 (step @p31 :rule eq_resolve :premises (@p30 @p18)) % 0.35/0.57 (step @p32 :rule eq-symm :args (@t28 @t22)) % 0.35/0.57 (step @p33 :rule cong :premises (@p17 @p32) :args ((=> @t23 @t29))) % 0.35/0.57 (assume-push @p146 @t23) % 0.35/0.57 (step @p35 :rule instantiate :premises (@p146) :args ((@list @t27))) % 0.35/0.57 (step-pop @p147 :rule scope :premises (@p35)) % 0.35/0.57 (step @p36 :rule process_scope :premises (@p147) :args (@t29)) % 0.35/0.57 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.35/0.57 (step @p39 :rule implies_elim :premises (@p38)) % 0.35/0.57 (step @p40 :rule eq-symm :args (@t31 @t22)) % 0.35/0.57 (step @p41 :rule cong :premises (@p17 @p40) :args ((=> @t23 @t32))) % 0.35/0.57 (assume-push @p148 @t23) % 0.35/0.57 (step @p43 :rule instantiate :premises (@p148) :args ((@list @t30))) % 0.35/0.57 (step-pop @p149 :rule scope :premises (@p43)) % 0.35/0.57 (step @p44 :rule process_scope :premises (@p149) :args (@t32)) % 0.35/0.57 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.35/0.57 (step @p47 :rule implies_elim :premises (@p46)) % 0.35/0.57 (step @p48 :rule cnf_equiv_pos2 :args (@t33)) % 0.35/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t22 @t35 @t34))) % 0.35/0.57 (step @p50 :rule refl :args (@t28)) % 0.35/0.57 (step @p51 :rule bool-double-not-elim :args (@t14)) % 0.35/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t36 @t28))) % 0.35/0.57 (step @p53 :rule bool-double-not-elim :args (@t28)) % 0.35/0.57 (step @p54 :rule refl :args (@t15)) % 0.35/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t15 @t37))) % 0.35/0.57 (assume-push @p150 @t15) % 0.35/0.57 (step @p57 :rule skolemize :premises (@p150)) % 0.35/0.57 (step-pop @p151 :rule scope :premises (@p57)) % 0.35/0.57 (step @p58 :rule process_scope :premises (@p151) :args (@t37)) % 0.35/0.57 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.35/0.57 (step @p61 :rule implies_elim :premises (@p60)) % 0.35/0.57 (step @p62 :rule eq_resolve :premises (@p61 @p52)) % 0.35/0.57 (step @p63 :rule cnf_equiv_neg1 :args (@t16)) % 0.35/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t4 @t15 @t16))) % 0.35/0.57 (assume-push @p152 @t4) % 0.35/0.57 (step @p66 :rule instantiate :premises (@p152) :args (@t38)) % 0.35/0.57 (step-pop @p153 :rule scope :premises (@p66)) % 0.35/0.57 (step @p67 :rule process_scope :premises (@p153) :args (@t22)) % 0.35/0.57 (step @p69 :rule implies_elim :premises (@p67)) % 0.35/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p64 @p62 @p49) :args ((or @t16 @t22 @t34) (@list false false true) (@list @t4 @t14 @t28))) % 0.35/0.57 (step @p71 :rule cnf_equiv_pos1 :args (@t39)) % 0.35/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t31 @t40 (not @t39)))) % 0.35/0.57 (step @p73 :rule refl :args (@t41)) % 0.35/0.57 (step @p74 :rule bool-double-not-elim :args (@t4)) % 0.35/0.57 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t42) @t41))) % 0.35/0.57 (assume-push @p154 @t42) % 0.35/0.57 (step @p77 :rule skolemize :premises (@p154)) % 0.35/0.57 (step-pop @p155 :rule scope :premises (@p77)) % 0.35/0.57 (step @p78 :rule process_scope :premises (@p155) :args (@t41)) % 0.35/0.57 (step @p80 :rule implies_elim :premises (@p78)) % 0.35/0.57 (step @p81 :rule eq_resolve :premises (@p80 @p75)) % 0.35/0.57 (step @p82 :rule refl :args (@t42)) % 0.35/0.57 (step @p83 :rule refl :args (@t16)) % 0.35/0.57 (step @p84 :rule nary_cong :premises (@p83 @p82 @p51) :args ((or @t16 @t42 @t36))) % 0.35/0.57 (step @p85 :rule cnf_equiv_neg2 :args (@t16)) % 0.35/0.57 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.35/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t14 @t16 @t42))) % 0.35/0.57 (assume-push @p156 @t14) % 0.35/0.57 (step @p89 :rule instantiate :premises (@p156) :args (@t38)) % 0.35/0.57 (step-pop @p157 :rule scope :premises (@p89)) % 0.35/0.57 (step @p90 :rule process_scope :premises (@p157) :args (@t40)) % 0.35/0.57 (step @p92 :rule implies_elim :premises (@p90)) % 0.35/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p87 @p81 @p72 @p70 @p47 @p39 @p31 @p16) :args (@t18 (@list false false false false false false false true) (@list @t14 @t4 @t31 @t22 @t39 @t33 @t23 @t16))) % 0.35/0.57 (step @p94 :rule not_equiv_elim1 :premises (@p14)) % 0.35/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p93) :args (@t16 @t43 @t44)) % 0.35/0.57 (step @p96 :rule cong :premises (@p20) :args (@t25)) % 0.35/0.57 (step @p97 :rule refl :args (@t18)) % 0.35/0.57 (step @p98 :rule cong :premises (@p97 @p96) :args ((=> @t18 @t25))) % 0.35/0.57 (assume-push @p158 @t18) % 0.35/0.57 (step @p100 :rule instantiate :premises (@p158) :args (@t38)) % 0.35/0.57 (step-pop @p159 :rule scope :premises (@p100)) % 0.35/0.57 (step @p101 :rule process_scope :premises (@p159) :args (@t25)) % 0.35/0.57 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 0.35/0.57 (step @p104 :rule implies_elim :premises (@p103)) % 0.35/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p93) :args (@t45 @t43 @t44)) % 0.35/0.57 (step @p106 :rule refl :args (@t49)) % 0.35/0.57 (step @p107 :rule bool-double-not-elim :args (@t23)) % 0.35/0.57 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t45) @t49))) % 0.35/0.57 (step @p109 :rule eq-symm :args (@t47 @t22)) % 0.35/0.57 (step @p110 :rule cong :premises (@p109) :args (@t50)) % 0.35/0.57 (step @p111 :rule refl :args (@t45)) % 0.35/0.57 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t45 @t50))) % 0.35/0.57 (assume-push @p160 @t45) % 0.35/0.57 (step @p114 :rule skolemize :premises (@p160)) % 0.35/0.57 (step-pop @p161 :rule scope :premises (@p114)) % 0.35/0.57 (step @p115 :rule process_scope :premises (@p161) :args (@t50)) % 0.35/0.57 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.35/0.57 (step @p118 :rule implies_elim :premises (@p117)) % 0.35/0.57 (step @p119 :rule eq_resolve :premises (@p118 @p108)) % 0.35/0.57 (step @p120 :rule chain_m_resolution :premises (@p119 @p105) :args (@t49 (@list true) (@list @t23))) % 0.35/0.57 (step @p121 :rule cnf_equiv_neg2 :args (@t48)) % 0.35/0.57 (step @p122 :rule reordering :premises (@p121) :args ((or @t40 @t48 @t51))) % 0.35/0.57 (assume-push @p162 @t4) % 0.35/0.57 (step @p124 :rule instantiate :premises (@p162) :args (@t52)) % 0.35/0.57 (step-pop @p163 :rule scope :premises (@p124)) % 0.35/0.57 (step @p125 :rule process_scope :premises (@p163) :args (@t47)) % 0.35/0.57 (step @p127 :rule implies_elim :premises (@p125)) % 0.35/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p122 @p120 @p69) :args (@t42 (@list true true false) (@list @t47 @t48 @t22))) % 0.35/0.57 (step @p129 :rule nary_cong :premises (@p3 @p7 @p51) :args ((or @t17 @t4 @t36))) % 0.35/0.57 (step @p130 :rule cnf_equiv_pos2 :args (@t16)) % 0.35/0.57 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.35/0.57 (step @p132 :rule reordering :premises (@p131) :args ((or @t4 @t14 @t17))) % 0.35/0.57 (step @p133 :rule chain_m_resolution :premises (@p132 @p128 @p95) :args (@t14 (@list true false) (@list @t4 @t16))) % 0.35/0.57 (step @p134 :rule chain_m_resolution :premises (@p92 @p133) :args (@t40 @t43 (@list @t14))) % 0.35/0.57 (step @p135 :rule cnf_equiv_neg1 :args (@t48)) % 0.35/0.57 (step @p136 :rule reordering :premises (@p135) :args ((or @t22 @t47 @t48))) % 0.35/0.57 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p120) :args (@t47 (@list true true) (@list @t22 @t48))) % 0.35/0.57 (assume-push @p164 @t14) % 0.35/0.57 (step @p139 :rule instantiate :premises (@p164) :args (@t52)) % 0.35/0.57 (step-pop @p165 :rule scope :premises (@p139)) % 0.35/0.57 (step @p140 :rule process_scope :premises (@p165) :args (@t51)) % 0.35/0.57 (step @p142 :rule implies_elim :premises (@p140)) % 0.35/0.57 (step @p143 false :rule chain_m_resolution :premises (@p142 @p137 @p133) :args (false (@list false false) (@list @t47 @t14))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------