%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU148+3 : TPTP v9.2.1. Released v3.2.0. % 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 08:50:43 AM UTC 2026 % Result : Theorem 15.40s 15.71s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU148+3 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:32:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.40/15.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.71 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.71 % SZS status Theorem % 15.40/15.71 % SZS output start Proof % 15.40/15.71 ( % 15.40/15.71 (declare-sort $$unsorted 0) % 15.40/15.71 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.40/15.71 (declare-const tptp.empty_set $$unsorted) % 15.40/15.71 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.40/15.71 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.40/15.71 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.40/15.71 (define @t1 () (@var "A" $$unsorted)) % 15.40/15.71 (define @t2 () (@var "B" $$unsorted)) % 15.40/15.71 (define @t3 () (@list @t1 @t2)) % 15.40/15.71 (define @t4 () (@var "C" $$unsorted)) % 15.40/15.71 (define @t5 () (tptp.in @t4 @t2)) % 15.40/15.71 (define @t6 () (= @t5 (= @t4 @t1))) % 15.40/15.71 (define @t7 () (@list @t4)) % 15.40/15.71 (define @t8 () (forall @t7 @t6)) % 15.40/15.71 (define @t9 () (tptp.singleton @t1)) % 15.40/15.71 (define @t10 () (= @t2 @t9)) % 15.40/15.71 (define @t11 () (= @t10 @t8)) % 15.40/15.71 (define @t12 () (forall @t3 @t11)) % 15.40/15.71 (define @t13 () (@list @t1)) % 15.40/15.71 (define @t14 () (forall @t13 (not (= @t9 tptp.empty_set)))) % 15.40/15.71 (define @t15 () (tptp.singleton @t2)) % 15.40/15.71 (define @t16 () (forall @t3 (= (tptp.subset @t1 @t15) (or (= @t1 tptp.empty_set) (= @t1 @t15))))) % 15.40/15.71 (define @t17 () (tptp.empty @t1)) % 15.40/15.71 (define @t18 () (= @t1 @t2)) % 15.40/15.71 (define @t19 () (tptp.subset @t9 @t15)) % 15.40/15.71 (define @t20 () (forall @t3 (=> @t19 @t18))) % 15.40/15.71 (define @t21 () (not @t20)) % 15.40/15.71 (define @t22 () (forall @t3 (or (not @t19) @t18))) % 15.40/15.71 (define @t23 () (@quantifiers_skolemize @t22 0)) % 15.40/15.71 (define @t24 () (tptp.singleton @t23)) % 15.40/15.71 (define @t25 () (tptp.in @t4 @t24)) % 15.40/15.71 (define @t26 () (forall @t7 (= (= @t4 @t23) @t25))) % 15.40/15.71 (define @t27 () (= @t23 @t4)) % 15.40/15.71 (define @t28 () (forall @t7 (= @t25 @t27))) % 15.40/15.71 (define @t29 () (= (= @t24 @t24) @t28)) % 15.40/15.71 (define @t30 () (forall @t3 (= @t10 (forall @t7 (= @t5 (= @t1 @t4)))))) % 15.40/15.71 (define @t31 () (@list false)) % 15.40/15.71 (define @t32 () (@list @t30)) % 15.40/15.71 (define @t33 () (@quantifiers_skolemize @t22 1)) % 15.40/15.71 (define @t34 () (tptp.in @t33 @t24)) % 15.40/15.71 (define @t35 () (= (= @t33 @t23) @t34)) % 15.40/15.71 (define @t36 () (@list @t33)) % 15.40/15.71 (define @t37 () (= @t23 @t33)) % 15.40/15.71 (define @t38 () (= @t37 @t34)) % 15.40/15.71 (define @t39 () (tptp.singleton @t33)) % 15.40/15.71 (define @t40 () (tptp.subset @t24 @t39)) % 15.40/15.71 (define @t41 () (not @t40)) % 15.40/15.71 (define @t42 () (or @t41 @t37)) % 15.40/15.71 (define @t43 () (@list true)) % 15.40/15.71 (define @t44 () (@list @t42)) % 15.40/15.71 (define @t45 () (not @t34)) % 15.40/15.71 (define @t46 () (@list true false)) % 15.40/15.71 (define @t47 () (= @t24 @t39)) % 15.40/15.71 (define @t48 () (= @t24 tptp.empty_set)) % 15.40/15.71 (define @t49 () (or @t48 @t47)) % 15.40/15.71 (define @t50 () (= @t40 @t49)) % 15.40/15.71 (define @t51 () (= tptp.empty_set @t24)) % 15.40/15.71 (define @t52 () (or @t51 @t47)) % 15.40/15.71 (define @t53 () (= @t40 @t52)) % 15.40/15.71 (define @t54 () (not @t48)) % 15.40/15.71 (define @t55 () (tptp.in @t33 @t39)) % 15.40/15.71 (define @t56 () (tptp.in @t4 @t39)) % 15.40/15.71 (define @t57 () (forall @t7 (= (= @t4 @t33) @t56))) % 15.40/15.71 (define @t58 () (= @t33 @t4)) % 15.40/15.71 (define @t59 () (forall @t7 (= @t56 @t58))) % 15.40/15.71 (define @t60 () (= (= @t39 @t39) @t59)) % 15.40/15.71 (define @t61 () (= (= @t33 @t33) @t55)) % 15.40/15.71 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.40/15.71 (assume @p2 @t12) % 15.40/15.71 (assume @p3 (tptp.empty tptp.empty_set)) % 15.40/15.71 (assume @p4 @t14) % 15.40/15.71 (assume @p5 @t16) % 15.40/15.71 (assume @p6 (exists @t13 @t17)) % 15.40/15.71 (assume @p7 (exists @t13 (not @t17))) % 15.40/15.71 (assume @p8 (forall @t3 (tptp.subset @t1 @t1))) % 15.40/15.71 (assume @p9 @t21) % 15.40/15.71 (assume @p10 true) % 15.40/15.71 (step @p11 :rule evaluate :args ((= true false))) % 15.40/15.71 (step @p12 :rule eq-symm :args (@t4 @t1)) % 15.40/15.71 (step @p13 :rule refl :args (@t5)) % 15.40/15.71 (step @p14 :rule cong :premises (@p13 @p12) :args (@t6)) % 15.40/15.71 (step @p15 :rule cong :premises (@p14) :args (@t8)) % 15.40/15.71 (step @p16 :rule refl :args (@t10)) % 15.40/15.71 (step @p17 :rule cong :premises (@p16 @p15) :args (@t11)) % 15.40/15.71 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 15.40/15.71 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 15.40/15.71 (step @p20 :rule bool-eq-true :args (@t26)) % 15.40/15.71 (step @p21 :rule eq-symm :args (true @t26)) % 15.40/15.71 (step @p22 :rule trans :premises (@p21 @p20)) % 15.40/15.71 (step @p23 :rule refl :args (@t25)) % 15.40/15.71 (step @p24 :rule eq-symm :args (@t23 @t4)) % 15.40/15.71 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t27 @t25))) % 15.40/15.71 (step @p26 :rule eq-symm :args (@t25 @t27)) % 15.40/15.71 (step @p27 :rule trans :premises (@p26 @p25)) % 15.40/15.71 (step @p28 :rule cong :premises (@p27) :args (@t28)) % 15.40/15.71 (step @p29 :rule eq-refl :args (@t24)) % 15.40/15.71 (step @p30 :rule cong :premises (@p29 @p28) :args (@t29)) % 15.40/15.71 (step @p31 :rule trans :premises (@p30 @p22)) % 15.40/15.71 (step @p32 :rule refl :args (@t30)) % 15.40/15.71 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t30 @t29))) % 15.40/15.71 (assume-push @p144 @t30) % 15.40/15.71 (step @p35 :rule instantiate :premises (@p19) :args ((@list @t23 @t24))) % 15.40/15.71 (step-pop @p145 :rule scope :premises (@p35)) % 15.40/15.71 (step @p36 :rule process_scope :premises (@p145) :args (@t29)) % 15.40/15.71 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 15.40/15.71 (step @p39 :rule implies_elim :premises (@p38)) % 15.40/15.71 (step @p40 :rule chain_m_resolution :premises (@p39 @p19) :args (@t26 @t31 @t32)) % 15.40/15.71 (step @p41 :rule refl :args (@t34)) % 15.40/15.71 (step @p42 :rule eq-symm :args (@t33 @t23)) % 15.40/15.71 (step @p43 :rule cong :premises (@p42 @p41) :args (@t35)) % 15.40/15.71 (step @p44 :rule refl :args (@t26)) % 15.40/15.71 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t26 @t35))) % 15.40/15.71 (assume-push @p146 @t26) % 15.40/15.71 (step @p47 :rule instantiate :premises (@p40) :args (@t36)) % 15.40/15.71 (step-pop @p147 :rule scope :premises (@p47)) % 15.40/15.71 (step @p48 :rule process_scope :premises (@p147) :args (@t35)) % 15.40/15.71 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 15.40/15.71 (step @p51 :rule implies_elim :premises (@p50)) % 15.40/15.71 (step @p52 :rule chain_m_resolution :premises (@p51 @p40) :args (@t38 @t31 (@list @t26))) % 15.40/15.71 (step @p53 :rule bool-impl-elim :args (@t19 @t18)) % 15.40/15.71 (step @p54 :rule cong :premises (@p53) :args (@t20)) % 15.40/15.71 (step @p55 :rule cong :premises (@p54) :args (@t21)) % 15.40/15.71 (step @p56 :rule eq_resolve :premises (@p9 @p55)) % 15.40/15.71 (step @p57 :rule skolemize :premises (@p56)) % 15.40/15.71 (step @p58 :rule cnf_or_neg :args (@t42 1)) % 15.40/15.71 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t37) @t43 @t44)) % 15.40/15.71 (step @p60 :rule cnf_equiv_pos2 :args (@t38)) % 15.40/15.71 (step @p61 :rule reordering :premises (@p60) :args ((or @t37 @t45 (not @t38)))) % 15.40/15.71 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p52) :args (@t45 @t46 (@list @t37 @t38))) % 15.40/15.71 (step @p63 :rule false_intro :premises (@p62)) % 15.40/15.71 (step @p64 :rule refl :args (@t47)) % 15.40/15.71 (step @p65 :rule eq-symm :args (@t24 tptp.empty_set)) % 15.40/15.71 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t49)) % 15.40/15.71 (step @p67 :rule refl :args (@t40)) % 15.40/15.71 (step @p68 :rule cong :premises (@p67 @p66) :args (@t50)) % 15.40/15.71 (step @p69 :rule refl :args (@t16)) % 15.40/15.71 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t16 @t50))) % 15.40/15.71 (assume-push @p148 @t16) % 15.40/15.71 (step @p72 :rule instantiate :premises (@p5) :args ((@list @t24 @t33))) % 15.40/15.71 (step-pop @p149 :rule scope :premises (@p72)) % 15.40/15.71 (step @p73 :rule process_scope :premises (@p149) :args (@t50)) % 15.40/15.71 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 15.40/15.71 (step @p76 :rule implies_elim :premises (@p75)) % 15.40/15.71 (step @p77 :rule chain_m_resolution :premises (@p76 @p5) :args (@t53 @t31 (@list @t16))) % 15.40/15.71 (step @p78 :rule bool-double-not-elim :args (@t40)) % 15.40/15.71 (step @p79 :rule refl :args (@t42)) % 15.40/15.71 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t42 (not @t41)))) % 15.40/15.71 (step @p81 :rule cnf_or_neg :args (@t42 0)) % 15.40/15.71 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 15.40/15.71 (step @p83 :rule reordering :premises (@p82) :args ((or @t40 @t42))) % 15.40/15.71 (step @p84 :rule chain_m_resolution :premises (@p83 @p57) :args (@t40 @t43 @t44)) % 15.40/15.71 (step @p85 :rule cnf_equiv_pos1 :args (@t53)) % 15.40/15.71 (step @p86 :rule reordering :premises (@p85) :args ((or @t41 @t52 (not @t53)))) % 15.40/15.71 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p77) :args (@t52 (@list false false) (@list @t40 @t53))) % 15.40/15.71 (step @p88 :rule cong :premises (@p65) :args (@t54)) % 15.40/15.71 (step @p89 :rule refl :args (@t14)) % 15.40/15.71 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t14 @t54))) % 15.40/15.71 (assume-push @p150 @t14) % 15.40/15.71 (step @p92 :rule instantiate :premises (@p4) :args ((@list @t23))) % 15.40/15.71 (step-pop @p151 :rule scope :premises (@p92)) % 15.40/15.71 (step @p93 :rule process_scope :premises (@p151) :args (@t54)) % 15.40/15.71 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 15.40/15.71 (step @p96 :rule implies_elim :premises (@p95)) % 15.40/15.71 (step @p97 :rule chain_m_resolution :premises (@p96 @p4) :args ((not @t51) @t31 (@list @t14))) % 15.40/15.71 (step @p98 :rule cnf_or_pos :args (@t52)) % 15.40/15.71 (step @p99 :rule reordering :premises (@p98) :args ((or @t47 @t51 (not @t52)))) % 15.40/15.71 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p87) :args (@t47 @t46 (@list @t51 @t52))) % 15.40/15.71 (step @p101 :rule symm :premises (@p100)) % 15.40/15.71 (step @p102 :rule refl :args (@t33)) % 15.40/15.71 (step @p103 :rule cong :premises (@p102 @p101) :args (@t55)) % 15.40/15.71 (step @p104 :rule bool-eq-true :args (@t57)) % 15.40/15.71 (step @p105 :rule eq-symm :args (true @t57)) % 15.40/15.71 (step @p106 :rule trans :premises (@p105 @p104)) % 15.40/15.71 (step @p107 :rule refl :args (@t56)) % 15.40/15.71 (step @p108 :rule eq-symm :args (@t33 @t4)) % 15.40/15.71 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t58 @t56))) % 15.40/15.71 (step @p110 :rule eq-symm :args (@t56 @t58)) % 15.40/15.71 (step @p111 :rule trans :premises (@p110 @p109)) % 15.40/15.71 (step @p112 :rule cong :premises (@p111) :args (@t59)) % 15.40/15.71 (step @p113 :rule eq-refl :args (@t39)) % 15.40/15.71 (step @p114 :rule cong :premises (@p113 @p112) :args (@t60)) % 15.40/15.71 (step @p115 :rule trans :premises (@p114 @p106)) % 15.40/15.71 (step @p116 :rule cong :premises (@p32 @p115) :args ((=> @t30 @t60))) % 15.40/15.71 (assume-push @p152 @t30) % 15.40/15.71 (step @p118 :rule instantiate :premises (@p19) :args ((@list @t33 @t39))) % 15.40/15.71 (step-pop @p153 :rule scope :premises (@p118)) % 15.40/15.71 (step @p119 :rule process_scope :premises (@p153) :args (@t60)) % 15.40/15.71 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 15.40/15.71 (step @p122 :rule implies_elim :premises (@p121)) % 15.40/15.71 (step @p123 :rule chain_m_resolution :premises (@p122 @p19) :args (@t57 @t31 @t32)) % 15.40/15.71 (step @p124 :rule bool-eq-true :args (@t55)) % 15.40/15.71 (step @p125 :rule eq-symm :args (true @t55)) % 15.40/15.71 (step @p126 :rule trans :premises (@p125 @p124)) % 15.40/15.71 (step @p127 :rule refl :args (@t55)) % 15.40/15.71 (step @p128 :rule eq-refl :args (@t33)) % 15.40/15.71 (step @p129 :rule cong :premises (@p128 @p127) :args (@t61)) % 15.40/15.71 (step @p130 :rule trans :premises (@p129 @p126)) % 15.40/15.71 (step @p131 :rule refl :args (@t57)) % 15.40/15.71 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t57 @t61))) % 15.40/15.71 (assume-push @p154 @t57) % 15.40/15.71 (step @p134 :rule instantiate :premises (@p123) :args (@t36)) % 15.40/15.71 (step-pop @p155 :rule scope :premises (@p134)) % 15.40/15.71 (step @p135 :rule process_scope :premises (@p155) :args (@t61)) % 15.40/15.71 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 15.40/15.71 (step @p138 :rule implies_elim :premises (@p137)) % 15.40/15.71 (step @p139 :rule chain_m_resolution :premises (@p138 @p123) :args (@t55 @t31 (@list @t57))) % 15.40/15.71 (step @p140 :rule true_intro :premises (@p139)) % 15.40/15.71 (step @p141 :rule symm :premises (@p140)) % 15.40/15.71 (step @p142 :rule trans :premises (@p141 @p103 @p63)) % 15.40/15.71 (step @p143 false :rule eq_resolve :premises (@p142 @p11)) % 15.40/15.71 ) % 15.40/15.71 % SZS output end Proof % 15.40/15.71 % cvc5 exiting %------------------------------------------------------------------------------