%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU145+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:50:42 AM UTC 2026 % Result : Theorem 7.12s 7.33s % Output : Proof 7.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU145+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:32:04 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 7.12/7.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.12/7.33 % SZS status Theorem % 7.12/7.33 % SZS output start Proof % 7.12/7.33 ( % 7.12/7.33 (declare-sort $$unsorted 0) % 7.12/7.33 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 7.12/7.33 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 7.12/7.33 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 7.12/7.33 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 7.12/7.33 (define @t1 () (@var "A" $$unsorted)) % 7.12/7.33 (define @t2 () (@var "B" $$unsorted)) % 7.12/7.33 (define @t3 () (@list @t1 @t2)) % 7.12/7.33 (define @t4 () (@var "C" $$unsorted)) % 7.12/7.33 (define @t5 () (tptp.in @t4 @t2)) % 7.12/7.33 (define @t6 () (= @t5 (= @t4 @t1))) % 7.12/7.33 (define @t7 () (@list @t4)) % 7.12/7.33 (define @t8 () (forall @t7 @t6)) % 7.12/7.33 (define @t9 () (= @t2 (tptp.singleton @t1))) % 7.12/7.33 (define @t10 () (= @t9 @t8)) % 7.12/7.33 (define @t11 () (forall @t3 @t10)) % 7.12/7.33 (define @t12 () (tptp.in @t4 @t1)) % 7.12/7.33 (define @t13 () (forall @t7 (=> @t12 @t5))) % 7.12/7.33 (define @t14 () (tptp.subset @t1 @t2)) % 7.12/7.33 (define @t15 () (= @t14 @t13)) % 7.12/7.33 (define @t16 () (forall @t3 @t15)) % 7.12/7.33 (define @t17 () (@var "D" $$unsorted)) % 7.12/7.33 (define @t18 () (@list @t17)) % 7.12/7.33 (define @t19 () (@list @t1 @t2 @t4)) % 7.12/7.33 (define @t20 () (forall @t19 (= (= @t4 (tptp.set_difference @t1 @t2)) (forall @t18 (= (tptp.in @t17 @t4) (and (tptp.in @t17 @t1) (not (tptp.in @t17 @t2)))))))) % 7.12/7.33 (define @t21 () (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t4)))) % 7.12/7.33 (define @t22 () (or @t12 @t21)) % 7.12/7.33 (define @t23 () (forall @t19 (=> @t14 @t22))) % 7.12/7.33 (define @t24 () (not @t23)) % 7.12/7.33 (define @t25 () (not @t14)) % 7.12/7.33 (define @t26 () (or @t25 @t12 @t21)) % 7.12/7.33 (define @t27 () (forall @t19 @t26)) % 7.12/7.33 (define @t28 () (@quantifiers_skolemize @t27 2)) % 7.12/7.33 (define @t29 () (tptp.singleton @t28)) % 7.12/7.33 (define @t30 () (@quantifiers_skolemize @t27 1)) % 7.12/7.33 (define @t31 () (tptp.set_difference @t30 @t29)) % 7.12/7.33 (define @t32 () (@quantifiers_skolemize @t27 0)) % 7.12/7.33 (define @t33 () (tptp.subset @t32 @t31)) % 7.12/7.33 (define @t34 () (tptp.in @t28 @t32)) % 7.12/7.33 (define @t35 () (tptp.subset @t32 @t30)) % 7.12/7.33 (define @t36 () (not @t35)) % 7.12/7.33 (define @t37 () (or @t36 @t34 @t33)) % 7.12/7.33 (define @t38 () (@list true)) % 7.12/7.33 (define @t39 () (@list @t37)) % 7.12/7.33 (define @t40 () (tptp.in @t4 @t29)) % 7.12/7.33 (define @t41 () (forall @t7 (= (= @t4 @t28) @t40))) % 7.12/7.33 (define @t42 () (= @t28 @t4)) % 7.12/7.33 (define @t43 () (forall @t7 (= @t40 @t42))) % 7.12/7.33 (define @t44 () (= (= @t29 @t29) @t43)) % 7.12/7.33 (define @t45 () (forall @t3 (= @t9 (forall @t7 (= @t5 (= @t1 @t4)))))) % 7.12/7.33 (define @t46 () (@list false)) % 7.12/7.33 (define @t47 () (not (tptp.in @t4 @t32))) % 7.12/7.33 (define @t48 () (forall @t7 (or @t47 (tptp.in @t4 @t31)))) % 7.12/7.33 (define @t49 () (@quantifiers_skolemize @t48 0)) % 7.12/7.33 (define @t50 () (= @t28 @t49)) % 7.12/7.33 (define @t51 () (tptp.in @t49 @t29)) % 7.12/7.33 (define @t52 () (= (= @t49 @t28) @t51)) % 7.12/7.33 (define @t53 () (@list @t49)) % 7.12/7.33 (define @t54 () (= @t51 @t50)) % 7.12/7.33 (define @t55 () (tptp.in @t17 @t31)) % 7.12/7.33 (define @t56 () (and (tptp.in @t17 @t30) (not (tptp.in @t17 @t29)))) % 7.12/7.33 (define @t57 () (forall @t18 (= @t56 @t55))) % 7.12/7.33 (define @t58 () (forall @t18 (= @t55 @t56))) % 7.12/7.33 (define @t59 () (= (= @t31 @t31) @t58)) % 7.12/7.33 (define @t60 () (not @t51)) % 7.12/7.33 (define @t61 () (tptp.in @t49 @t30)) % 7.12/7.33 (define @t62 () (and @t61 @t60)) % 7.12/7.33 (define @t63 () (tptp.in @t49 @t31)) % 7.12/7.33 (define @t64 () (= @t62 @t63)) % 7.12/7.33 (define @t65 () (= @t63 @t62)) % 7.12/7.33 (define @t66 () (= @t33 @t48)) % 7.12/7.33 (define @t67 () (not @t48)) % 7.12/7.33 (define @t68 () (@list true false)) % 7.12/7.33 (define @t69 () (tptp.in @t49 @t32)) % 7.12/7.33 (define @t70 () (not @t69)) % 7.12/7.33 (define @t71 () (or @t70 @t63)) % 7.12/7.33 (define @t72 () (@list @t71)) % 7.12/7.33 (define @t73 () (not @t62)) % 7.12/7.33 (define @t74 () (forall @t7 (or @t47 (tptp.in @t4 @t30)))) % 7.12/7.33 (define @t75 () (= @t35 @t74)) % 7.12/7.33 (define @t76 () (@list false false)) % 7.12/7.33 (define @t77 () (or @t70 @t61)) % 7.12/7.33 (define @t78 () (not @t61)) % 7.12/7.33 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 7.12/7.33 (assume @p2 @t11) % 7.12/7.33 (assume @p3 @t16) % 7.12/7.33 (assume @p4 @t20) % 7.12/7.33 (assume @p5 true) % 7.12/7.33 (assume @p6 @t24) % 7.12/7.33 (assume @p7 (forall @t3 (tptp.subset @t1 @t1))) % 7.12/7.33 (step @p8 :rule evaluate :args ((= true false))) % 7.12/7.33 (step @p9 :rule aci_norm :args ((= (or @t25 @t22) @t26))) % 7.12/7.33 (step @p10 :rule bool-impl-elim :args (@t14 @t22)) % 7.12/7.33 (step @p11 :rule trans :premises (@p10 @p9)) % 7.12/7.33 (step @p12 :rule cong :premises (@p11) :args (@t23)) % 7.12/7.33 (step @p13 :rule cong :premises (@p12) :args (@t24)) % 7.12/7.33 (step @p14 :rule eq_resolve :premises (@p6 @p13)) % 7.12/7.33 (step @p15 :rule skolemize :premises (@p14)) % 7.12/7.33 (step @p16 :rule cnf_or_neg :args (@t37 1)) % 7.12/7.33 (step @p17 :rule chain_m_resolution :premises (@p16 @p15) :args ((not @t34) @t38 @t39)) % 7.12/7.33 (step @p18 :rule false_intro :premises (@p17)) % 7.12/7.33 (step @p19 :rule refl :args (@t32)) % 7.12/7.33 (step @p20 :rule eq-symm :args (@t4 @t1)) % 7.12/7.33 (step @p21 :rule refl :args (@t5)) % 7.12/7.33 (step @p22 :rule cong :premises (@p21 @p20) :args (@t6)) % 7.12/7.33 (step @p23 :rule cong :premises (@p22) :args (@t8)) % 7.12/7.33 (step @p24 :rule refl :args (@t9)) % 7.12/7.33 (step @p25 :rule cong :premises (@p24 @p23) :args (@t10)) % 7.12/7.33 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 7.12/7.33 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 7.12/7.33 (step @p28 :rule bool-eq-true :args (@t41)) % 7.12/7.33 (step @p29 :rule eq-symm :args (true @t41)) % 7.12/7.33 (step @p30 :rule trans :premises (@p29 @p28)) % 7.12/7.33 (step @p31 :rule refl :args (@t40)) % 7.12/7.33 (step @p32 :rule eq-symm :args (@t28 @t4)) % 7.12/7.33 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t42 @t40))) % 7.12/7.33 (step @p34 :rule eq-symm :args (@t40 @t42)) % 7.12/7.33 (step @p35 :rule trans :premises (@p34 @p33)) % 7.12/7.33 (step @p36 :rule cong :premises (@p35) :args (@t43)) % 7.12/7.33 (step @p37 :rule eq-refl :args (@t29)) % 7.12/7.33 (step @p38 :rule cong :premises (@p37 @p36) :args (@t44)) % 7.12/7.33 (step @p39 :rule trans :premises (@p38 @p30)) % 7.12/7.33 (step @p40 :rule refl :args (@t45)) % 7.12/7.33 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t45 @t44))) % 7.12/7.33 (assume-push @p147 @t45) % 7.12/7.33 (step @p43 :rule instantiate :premises (@p27) :args ((@list @t28 @t29))) % 7.12/7.33 (step-pop @p148 :rule scope :premises (@p43)) % 7.12/7.33 (step @p44 :rule process_scope :premises (@p148) :args (@t44)) % 7.12/7.33 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 7.12/7.33 (step @p47 :rule implies_elim :premises (@p46)) % 7.12/7.33 (step @p48 :rule chain_m_resolution :premises (@p47 @p27) :args (@t41 @t46 (@list @t45))) % 7.12/7.33 (step @p49 :rule eq-symm :args (@t50 @t51)) % 7.12/7.33 (step @p50 :rule refl :args (@t51)) % 7.12/7.33 (step @p51 :rule eq-symm :args (@t49 @t28)) % 7.12/7.33 (step @p52 :rule cong :premises (@p51 @p50) :args (@t52)) % 7.12/7.33 (step @p53 :rule trans :premises (@p52 @p49)) % 7.12/7.33 (step @p54 :rule refl :args (@t41)) % 7.12/7.33 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t41 @t52))) % 7.12/7.33 (assume-push @p149 @t41) % 7.12/7.33 (step @p57 :rule instantiate :premises (@p48) :args (@t53)) % 7.12/7.33 (step-pop @p150 :rule scope :premises (@p57)) % 7.12/7.33 (step @p58 :rule process_scope :premises (@p150) :args (@t52)) % 7.12/7.33 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 7.12/7.33 (step @p61 :rule implies_elim :premises (@p60)) % 7.12/7.33 (step @p62 :rule chain_m_resolution :premises (@p61 @p48) :args (@t54 @t46 (@list @t41))) % 7.12/7.33 (step @p63 :rule bool-eq-true :args (@t57)) % 7.12/7.33 (step @p64 :rule eq-symm :args (true @t57)) % 7.12/7.33 (step @p65 :rule trans :premises (@p64 @p63)) % 7.12/7.33 (step @p66 :rule eq-symm :args (@t55 @t56)) % 7.12/7.33 (step @p67 :rule cong :premises (@p66) :args (@t58)) % 7.12/7.33 (step @p68 :rule eq-refl :args (@t31)) % 7.12/7.33 (step @p69 :rule cong :premises (@p68 @p67) :args (@t59)) % 7.12/7.33 (step @p70 :rule trans :premises (@p69 @p65)) % 7.12/7.33 (step @p71 :rule refl :args (@t20)) % 7.12/7.33 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t20 @t59))) % 7.12/7.33 (assume-push @p151 @t20) % 7.12/7.33 (step @p74 :rule instantiate :premises (@p4) :args ((@list @t30 @t29 @t31))) % 7.12/7.33 (step-pop @p152 :rule scope :premises (@p74)) % 7.12/7.33 (step @p75 :rule process_scope :premises (@p152) :args (@t59)) % 7.12/7.33 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 7.12/7.33 (step @p78 :rule implies_elim :premises (@p77)) % 7.12/7.33 (step @p79 :rule chain_m_resolution :premises (@p78 @p4) :args (@t57 @t46 (@list @t20))) % 7.12/7.33 (step @p80 :rule eq-symm :args (@t62 @t63)) % 7.12/7.33 (step @p81 :rule refl :args (@t57)) % 7.12/7.33 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t57 @t64))) % 7.12/7.33 (assume-push @p153 @t57) % 7.12/7.33 (step @p84 :rule instantiate :premises (@p79) :args (@t53)) % 7.12/7.33 (step-pop @p154 :rule scope :premises (@p84)) % 7.12/7.33 (step @p85 :rule process_scope :premises (@p154) :args (@t64)) % 7.12/7.33 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 7.12/7.33 (step @p88 :rule implies_elim :premises (@p87)) % 7.12/7.33 (step @p89 :rule chain_m_resolution :premises (@p88 @p79) :args (@t65 @t46 (@list @t57))) % 7.12/7.33 (step @p90 :rule bool-impl-elim :args (@t12 @t5)) % 7.12/7.33 (step @p91 :rule cong :premises (@p90) :args (@t13)) % 7.12/7.33 (step @p92 :rule refl :args (@t14)) % 7.12/7.33 (step @p93 :rule cong :premises (@p92 @p91) :args (@t15)) % 7.12/7.33 (step @p94 :rule cong :premises (@p93) :args (@t16)) % 7.12/7.33 (step @p95 :rule eq_resolve :premises (@p3 @p94)) % 7.12/7.34 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t32 @t31))) % 7.12/7.34 (step @p97 :rule cnf_or_neg :args (@t37 2)) % 7.12/7.34 (step @p98 :rule chain_m_resolution :premises (@p97 @p15) :args ((not @t33) @t38 @t39)) % 7.12/7.34 (step @p99 :rule cnf_equiv_pos2 :args (@t66)) % 7.12/7.34 (step @p100 :rule reordering :premises (@p99) :args ((or @t33 @t67 (not @t66)))) % 7.12/7.34 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p96) :args (@t67 @t68 (@list @t33 @t66))) % 7.12/7.34 (step @p102 :rule skolemize :premises (@p101)) % 7.12/7.34 (step @p103 :rule cnf_or_neg :args (@t71 1)) % 7.12/7.34 (step @p104 :rule chain_m_resolution :premises (@p103 @p102) :args ((not @t63) @t38 @t72)) % 7.12/7.34 (step @p105 :rule cnf_equiv_pos2 :args (@t65)) % 7.12/7.34 (step @p106 :rule reordering :premises (@p105) :args ((or @t63 @t73 (not @t65)))) % 7.12/7.34 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p89) :args (@t73 @t68 (@list @t63 @t65))) % 7.12/7.34 (step @p108 :rule instantiate :premises (@p95) :args ((@list @t32 @t30))) % 7.12/7.34 (step @p109 :rule bool-double-not-elim :args (@t35)) % 7.12/7.34 (step @p110 :rule refl :args (@t37)) % 7.12/7.34 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t37 (not @t36)))) % 7.12/7.34 (step @p112 :rule cnf_or_neg :args (@t37 0)) % 7.12/7.34 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 7.12/7.34 (step @p114 :rule reordering :premises (@p113) :args ((or @t35 @t37))) % 7.12/7.34 (step @p115 :rule chain_m_resolution :premises (@p114 @p15) :args (@t35 @t38 @t39)) % 7.12/7.34 (step @p116 :rule cnf_equiv_pos1 :args (@t75)) % 7.12/7.34 (step @p117 :rule reordering :premises (@p116) :args ((or @t36 @t74 (not @t75)))) % 7.12/7.34 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p108) :args (@t74 @t76 (@list @t35 @t75))) % 7.12/7.34 (step @p119 :rule instantiate :premises (@p118) :args (@t53)) % 7.12/7.34 (step @p120 :rule bool-double-not-elim :args (@t69)) % 7.12/7.34 (step @p121 :rule refl :args (@t71)) % 7.12/7.34 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t71 (not @t70)))) % 7.12/7.34 (step @p123 :rule cnf_or_neg :args (@t71 0)) % 7.12/7.34 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 7.12/7.34 (step @p125 :rule reordering :premises (@p124) :args ((or @t69 @t71))) % 7.12/7.34 (step @p126 :rule chain_m_resolution :premises (@p125 @p102) :args (@t69 @t38 @t72)) % 7.12/7.34 (step @p127 :rule cnf_or_pos :args (@t77)) % 7.12/7.34 (step @p128 :rule reordering :premises (@p127) :args ((or @t70 @t61 (not @t77)))) % 7.12/7.34 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p119) :args (@t61 @t76 (@list @t69 @t77))) % 7.12/7.34 (step @p130 :rule bool-double-not-elim :args (@t51)) % 7.12/7.34 (step @p131 :rule refl :args (@t78)) % 7.12/7.34 (step @p132 :rule refl :args (@t62)) % 7.12/7.34 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args ((or @t62 @t78 (not @t60)))) % 7.12/7.34 (step @p134 :rule cnf_and_neg :args (@t62)) % 7.12/7.34 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 7.12/7.34 (step @p136 :rule reordering :premises (@p135) :args ((or @t78 @t51 @t62))) % 7.12/7.34 (step @p137 :rule chain_m_resolution :premises (@p136 @p129 @p107) :args (@t51 (@list false true) (@list @t61 @t62))) % 7.12/7.34 (step @p138 :rule cnf_equiv_pos1 :args (@t54)) % 7.12/7.34 (step @p139 :rule reordering :premises (@p138) :args ((or @t50 @t60 (not @t54)))) % 7.12/7.34 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p62) :args (@t50 @t76 (@list @t51 @t54))) % 7.12/7.34 (step @p141 :rule symm :premises (@p140)) % 7.12/7.34 (step @p142 :rule cong :premises (@p141 @p19) :args (@t69)) % 7.12/7.34 (step @p143 :rule true_intro :premises (@p126)) % 7.12/7.34 (step @p144 :rule symm :premises (@p143)) % 7.12/7.34 (step @p145 :rule trans :premises (@p144 @p142 @p18)) % 7.12/7.34 (step @p146 false :rule eq_resolve :premises (@p145 @p8)) % 7.12/7.34 ) % 7.12/7.34 % SZS output end Proof % 7.12/7.34 % cvc5 exiting %------------------------------------------------------------------------------