%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET580+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:48:05 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET580+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 16:02:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "D" $$unsorted)) % 0.30/0.55 (define @t3 () (tptp.member @t2 @t1)) % 0.30/0.55 (define @t4 () (@var "B" $$unsorted)) % 0.30/0.55 (define @t5 () (tptp.member @t2 @t4)) % 0.30/0.55 (define @t6 () (tptp.union @t4 @t1)) % 0.30/0.55 (define @t7 () (@list @t4 @t1 @t2)) % 0.30/0.55 (define @t8 () (tptp.difference @t4 @t1)) % 0.30/0.55 (define @t9 () (tptp.symmetric_difference @t4 @t1)) % 0.30/0.55 (define @t10 () (@list @t4 @t1)) % 0.30/0.55 (define @t11 () (tptp.member @t4 @t2)) % 0.30/0.55 (define @t12 () (tptp.member @t4 @t1)) % 0.30/0.55 (define @t13 () (tptp.member @t4 (tptp.symmetric_difference @t1 @t2))) % 0.30/0.55 (define @t14 () (= @t13 (not (= @t12 @t11)))) % 0.30/0.55 (define @t15 () (forall @t7 @t14)) % 0.30/0.55 (define @t16 () (not @t15)) % 0.30/0.55 (define @t17 () (not @t12)) % 0.30/0.55 (define @t18 () (forall @t7 (= @t13 (= @t11 @t17)))) % 0.30/0.55 (define @t19 () (@quantifiers_skolemize @t18 0)) % 0.30/0.55 (define @t20 () (@quantifiers_skolemize @t18 1)) % 0.30/0.55 (define @t21 () (@quantifiers_skolemize @t18 2)) % 0.30/0.55 (define @t22 () (tptp.difference @t21 @t20)) % 0.30/0.55 (define @t23 () (tptp.difference @t20 @t21)) % 0.30/0.55 (define @t24 () (= @t13 (= @t17 @t11))) % 0.30/0.55 (define @t25 () (tptp.member @t19 @t20)) % 0.30/0.55 (define @t26 () (not @t25)) % 0.30/0.55 (define @t27 () (tptp.member @t19 @t21)) % 0.30/0.55 (define @t28 () (and @t27 @t26)) % 0.30/0.55 (define @t29 () (not @t28)) % 0.30/0.55 (define @t30 () (tptp.member @t19 @t22)) % 0.30/0.55 (define @t31 () (= @t30 @t28)) % 0.30/0.55 (define @t32 () (not @t31)) % 0.30/0.55 (define @t33 () (not @t30)) % 0.30/0.55 (define @t34 () (= @t27 @t26)) % 0.30/0.55 (define @t35 () (tptp.symmetric_difference @t20 @t21)) % 0.30/0.55 (define @t36 () (tptp.member @t19 @t35)) % 0.30/0.55 (define @t37 () (= @t36 @t34)) % 0.30/0.55 (define @t38 () (not @t34)) % 0.30/0.55 (define @t39 () (not @t26)) % 0.30/0.55 (define @t40 () (not @t27)) % 0.30/0.55 (define @t41 () (@list false)) % 0.30/0.55 (define @t42 () (@list @t27)) % 0.30/0.55 (define @t43 () (and @t25 @t40)) % 0.30/0.55 (define @t44 () (tptp.member @t19 @t23)) % 0.30/0.55 (define @t45 () (= @t44 @t43)) % 0.30/0.55 (define @t46 () (not @t45)) % 0.30/0.55 (define @t47 () (not @t43)) % 0.30/0.55 (define @t48 () (or @t44 @t30)) % 0.30/0.55 (define @t49 () (tptp.union @t23 @t22)) % 0.30/0.55 (define @t50 () (tptp.member @t19 @t49)) % 0.30/0.55 (define @t51 () (= @t50 @t48)) % 0.30/0.55 (define @t52 () (not @t51)) % 0.30/0.55 (define @t53 () (not @t48)) % 0.30/0.55 (define @t54 () (not @t50)) % 0.30/0.55 (define @t55 () (= @t35 @t49)) % 0.30/0.55 (define @t56 () (not @t55)) % 0.30/0.55 (define @t57 () (not @t36)) % 0.30/0.55 (define @t58 () (and @t57 @t55)) % 0.30/0.55 (define @t59 () (and @t55 @t54)) % 0.30/0.55 (define @t60 () (not @t44)) % 0.30/0.55 (define @t61 () (@list false false)) % 0.30/0.55 (define @t62 () (@list true true)) % 0.30/0.55 (define @t63 () (@list true false)) % 0.30/0.55 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.30/0.55 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 (not @t3))))) % 0.30/0.55 (assume @p3 (forall @t10 (= @t9 (tptp.union @t8 (tptp.difference @t1 @t4))))) % 0.30/0.55 (assume @p4 (forall @t10 (= @t6 (tptp.union @t1 @t4)))) % 0.30/0.55 (assume @p5 (forall @t10 (= @t9 (tptp.symmetric_difference @t1 @t4)))) % 0.30/0.55 (assume @p6 (forall @t10 (= (= @t4 @t1) (forall (@list @t2) (= @t5 @t3))))) % 0.30/0.55 (assume @p7 @t16) % 0.30/0.55 (assume @p8 true) % 0.30/0.55 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t23 @t22 @t19))) % 0.30/0.55 (step @p10 :rule instantiate :premises (@p3) :args ((@list @t20 @t21))) % 0.30/0.55 (step @p11 :rule eq-symm :args (@t17 @t11)) % 0.30/0.55 (step @p12 :rule refl :args (@t13)) % 0.30/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args (@t24)) % 0.30/0.55 (step @p14 :rule cong :premises (@p13) :args ((forall @t7 @t24))) % 0.30/0.55 (step @p15 :rule bool-not-eq-elim1 :args (@t12 @t11)) % 0.30/0.55 (step @p16 :rule refl :args (@t13)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args (@t14)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.30/0.55 (step @p19 :rule trans :premises (@p18 @p14)) % 0.30/0.55 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 0.30/0.55 (step @p21 :rule eq_resolve :premises (@p7 @p20)) % 0.30/0.55 (step @p22 :rule skolemize :premises (@p21)) % 0.30/0.55 (step @p23 :rule cnf_and_pos :args (@t28 0)) % 0.30/0.55 (step @p24 :rule reordering :premises (@p23) :args ((or @t27 @t29))) % 0.30/0.55 (step @p25 :rule instantiate :premises (@p2) :args ((@list @t21 @t20 @t19))) % 0.30/0.55 (step @p26 :rule cnf_equiv_pos1 :args (@t31)) % 0.30/0.55 (step @p27 :rule reordering :premises (@p26) :args ((or @t33 @t28 @t32))) % 0.30/0.55 (step @p28 :rule cnf_equiv_neg2 :args (@t37)) % 0.30/0.55 (step @p29 :rule bool-double-not-elim :args (@t25)) % 0.30/0.55 (step @p30 :rule refl :args (@t27)) % 0.30/0.55 (step @p31 :rule refl :args (@t38)) % 0.30/0.55 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t38 @t27 @t39))) % 0.30/0.55 (step @p33 :rule cnf_equiv_pos2 :args (@t34)) % 0.30/0.55 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.30/0.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t27 @t25 @t38))) % 0.30/0.55 (step @p36 :rule refl :args (@t40)) % 0.30/0.55 (step @p37 :rule refl :args (@t28)) % 0.30/0.55 (step @p38 :rule nary_cong :premises (@p37 @p36 @p29) :args ((or @t28 @t40 @t39))) % 0.30/0.55 (step @p39 :rule cnf_and_neg :args (@t28)) % 0.30/0.55 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.30/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t25 @t40 @t28))) % 0.30/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args ((or @t25 @t38 @t28) @t41 @t42)) % 0.30/0.55 (step @p43 :rule bool-double-not-elim :args (@t27)) % 0.30/0.55 (step @p44 :rule refl :args (@t26)) % 0.30/0.55 (step @p45 :rule refl :args (@t43)) % 0.30/0.55 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args ((or @t43 @t26 (not @t40)))) % 0.30/0.55 (step @p47 :rule cnf_and_neg :args (@t43)) % 0.30/0.55 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.30/0.55 (step @p49 :rule reordering :premises (@p48) :args ((or @t27 @t26 @t43))) % 0.30/0.55 (step @p50 :rule instantiate :premises (@p2) :args ((@list @t20 @t21 @t19))) % 0.30/0.55 (step @p51 :rule cnf_equiv_pos2 :args (@t45)) % 0.30/0.55 (step @p52 :rule reordering :premises (@p51) :args ((or @t44 @t47 @t46))) % 0.30/0.55 (step @p53 :rule cnf_or_neg :args (@t48 0)) % 0.30/0.55 (step @p54 :rule cnf_equiv_pos2 :args (@t51)) % 0.30/0.55 (step @p55 :rule reordering :premises (@p54) :args ((or @t50 @t53 @t52))) % 0.30/0.55 (step @p56 :rule refl :args (@t54)) % 0.30/0.55 (step @p57 :rule refl :args (@t56)) % 0.30/0.55 (step @p58 :rule bool-double-not-elim :args (@t36)) % 0.30/0.55 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args ((or (not @t57) @t56 @t54))) % 0.30/0.55 (assume-push @p144 @t57) % 0.30/0.55 (assume-push @p145 @t55) % 0.30/0.55 (assume-push @p146 @t57) % 0.30/0.55 (assume-push @p147 @t55) % 0.30/0.55 (step @p64 :rule false_intro :premises (@p144)) % 0.30/0.55 (step @p65 :rule symm :premises (@p10)) % 0.30/0.55 (step @p66 :rule refl :args (@t19)) % 0.30/0.55 (step @p67 :rule cong :premises (@p66 @p65) :args (@t50)) % 0.30/0.55 (step @p68 :rule trans :premises (@p67 @p64)) % 0.30/0.55 (step @p69 :rule false_elim :premises (@p68)) % 0.30/0.55 (step-pop @p148 :rule scope :premises (@p69)) % 0.30/0.55 (step-pop @p149 :rule scope :premises (@p148)) % 0.30/0.55 (step @p70 :rule process_scope :premises (@p149) :args (@t54)) % 0.30/0.55 (step @p73 :rule and_intro :premises (@p144 @p10)) % 0.30/0.55 (step @p74 :rule modus_ponens :premises (@p73 @p70)) % 0.30/0.55 (step-pop @p150 :rule scope :premises (@p74)) % 0.30/0.55 (step-pop @p151 :rule scope :premises (@p150)) % 0.30/0.55 (step @p75 :rule process_scope :premises (@p151) :args (@t54)) % 0.30/0.55 (step @p78 :rule implies_elim :premises (@p75)) % 0.30/0.55 (step @p79 :rule cnf_and_neg :args (@t58)) % 0.30/0.55 (step @p80 :rule resolution :premises (@p79 @p78) :args (true @t58)) % 0.30/0.55 (step @p81 :rule eq_resolve :premises (@p80 @p59)) % 0.30/0.55 (step @p82 :rule chain_m_resolution :premises (@p81 @p10 @p55 @p9 @p53 @p52 @p50 @p49 @p42 @p28 @p22 @p24) :args ((or @t27 @t38) (@list false false false false false false false false true true true) (@list @t55 @t50 @t51 @t48 @t44 @t45 @t43 @t25 @t36 @t37 @t28))) % 0.30/0.55 (step @p83 :rule cnf_equiv_neg1 :args (@t37)) % 0.30/0.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t36 @t34 @t37))) % 0.30/0.55 (step @p85 :rule cnf_equiv_neg1 :args (@t34)) % 0.30/0.55 (step @p86 :rule reordering :premises (@p85) :args ((or @t27 @t26 @t34))) % 0.30/0.55 (step @p87 :rule refl :args (@t57)) % 0.30/0.55 (step @p88 :rule bool-double-not-elim :args (@t50)) % 0.30/0.55 (step @p89 :rule nary_cong :premises (@p57 @p88 @p87) :args ((or @t56 (not @t54) @t57))) % 0.30/0.55 (assume-push @p152 @t55) % 0.30/0.55 (assume-push @p153 @t54) % 0.30/0.55 (assume-push @p154 @t54) % 0.30/0.55 (assume-push @p155 @t55) % 0.30/0.55 (step @p94 :rule false_intro :premises (@p153)) % 0.30/0.55 (step @p66 :rule refl :args (@t19)) % 0.30/0.55 (step @p95 :rule cong :premises (@p66 @p10) :args (@t36)) % 0.30/0.55 (step @p96 :rule trans :premises (@p95 @p94)) % 0.30/0.55 (step @p97 :rule false_elim :premises (@p96)) % 0.30/0.55 (step-pop @p156 :rule scope :premises (@p97)) % 0.30/0.55 (step-pop @p157 :rule scope :premises (@p156)) % 0.30/0.55 (step @p98 :rule process_scope :premises (@p157) :args (@t57)) % 0.33/0.55 (step @p101 :rule and_intro :premises (@p153 @p10)) % 0.33/0.55 (step @p102 :rule modus_ponens :premises (@p101 @p98)) % 0.33/0.55 (step-pop @p158 :rule scope :premises (@p102)) % 0.33/0.55 (step-pop @p159 :rule scope :premises (@p158)) % 0.33/0.55 (step @p103 :rule process_scope :premises (@p159) :args (@t57)) % 0.33/0.55 (step @p106 :rule implies_elim :premises (@p103)) % 0.33/0.55 (step @p107 :rule cnf_and_neg :args (@t59)) % 0.33/0.55 (step @p108 :rule resolution :premises (@p107 @p106) :args (true @t59)) % 0.33/0.55 (step @p109 :rule eq_resolve :premises (@p108 @p89)) % 0.33/0.55 (step @p110 :rule reordering :premises (@p109) :args ((or @t57 @t56 @t50))) % 0.33/0.55 (step @p111 :rule cnf_and_pos :args (@t43 0)) % 0.33/0.55 (step @p112 :rule reordering :premises (@p111) :args ((or @t25 @t47))) % 0.33/0.55 (step @p113 :rule cnf_equiv_pos1 :args (@t51)) % 0.33/0.55 (step @p114 :rule reordering :premises (@p113) :args ((or @t48 @t54 @t52))) % 0.33/0.55 (step @p115 :rule cnf_equiv_pos1 :args (@t45)) % 0.33/0.55 (step @p116 :rule reordering :premises (@p115) :args ((or @t60 @t43 @t46))) % 0.33/0.55 (step @p117 :rule cnf_or_pos :args (@t48)) % 0.33/0.55 (step @p118 :rule reordering :premises (@p117) :args ((or @t44 @t30 @t53))) % 0.33/0.55 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p50 @p114 @p9 @p112 @p110 @p10 @p86 @p84 @p22 @p82 @p27 @p25 @p24) :args (@t27 (@list true false false false true false false true false true true true false true) (@list @t44 @t45 @t48 @t51 @t43 @t50 @t55 @t25 @t36 @t37 @t34 @t30 @t31 @t28))) % 0.33/0.55 (step @p120 :rule refl :args (@t34)) % 0.33/0.55 (step @p121 :rule nary_cong :premises (@p120 @p36 @p29) :args ((or @t34 @t40 @t39))) % 0.33/0.55 (step @p122 :rule cnf_equiv_neg2 :args (@t34)) % 0.33/0.55 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.33/0.55 (step @p124 :rule reordering :premises (@p123) :args ((or @t25 @t34 @t40))) % 0.33/0.55 (step @p125 :rule cnf_equiv_pos2 :args (@t31)) % 0.33/0.55 (step @p126 :rule reordering :premises (@p125) :args ((or @t30 @t29 @t32))) % 0.33/0.55 (step @p127 :rule cnf_or_neg :args (@t48 1)) % 0.33/0.55 (step @p128 :rule chain_m_resolution :premises (@p55 @p9 @p81 @p10 @p127 @p28 @p22 @p126 @p25 @p124 @p119 @p41 @p119) :args (@t25 (@list false true false false true true false false false false false false) (@list @t51 @t50 @t55 @t48 @t36 @t37 @t30 @t31 @t34 @t27 @t28 @t27))) % 0.33/0.55 (step @p129 :rule cnf_equiv_pos1 :args (@t34)) % 0.33/0.55 (step @p130 :rule reordering :premises (@p129) :args ((or @t26 @t40 @t38))) % 0.33/0.55 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p119) :args (@t38 @t61 (@list @t25 @t27))) % 0.33/0.55 (step @p132 :rule chain_m_resolution :premises (@p84 @p131 @p22) :args (@t36 @t62 (@list @t34 @t37))) % 0.33/0.55 (step @p133 :rule chain_m_resolution :premises (@p110 @p132 @p10) :args (@t50 @t61 (@list @t36 @t55))) % 0.33/0.55 (step @p134 :rule cnf_and_pos :args (@t28 1)) % 0.33/0.55 (step @p135 :rule reordering :premises (@p134) :args ((or @t26 @t29))) % 0.33/0.55 (step @p136 :rule chain_m_resolution :premises (@p135 @p128) :args (@t29 @t41 (@list @t25))) % 0.33/0.55 (step @p137 :rule chain_m_resolution :premises (@p27 @p136 @p25) :args (@t33 @t63 (@list @t28 @t31))) % 0.33/0.55 (step @p138 :rule cnf_and_pos :args (@t43 1)) % 0.33/0.55 (step @p139 :rule reordering :premises (@p138) :args ((or @t40 @t47))) % 0.33/0.55 (step @p140 :rule chain_m_resolution :premises (@p139 @p119) :args (@t47 @t41 @t42)) % 0.33/0.55 (step @p141 :rule chain_m_resolution :premises (@p116 @p140 @p50) :args (@t60 @t63 (@list @t43 @t45))) % 0.33/0.55 (step @p142 :rule chain_m_resolution :premises (@p118 @p141 @p137) :args (@t53 @t62 (@list @t44 @t30))) % 0.33/0.55 (step @p143 false :rule chain_m_resolution :premises (@p114 @p142 @p133 @p9) :args (false (@list true false false) (@list @t48 @t50 @t51))) % 0.33/0.55 ) % 0.33/0.55 % SZS output end Proof % 0.33/0.55 % cvc5 exiting %------------------------------------------------------------------------------