%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET949+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:49:02 AM UTC 2026 % Result : Theorem 4.96s 5.19s % Output : Proof 4.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET949+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:19:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 4.96/5.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.96/5.19 % SZS status Theorem % 4.96/5.19 % SZS output start Proof % 4.96/5.19 ( % 4.96/5.19 (declare-sort $$unsorted 0) % 4.96/5.19 (declare-const tptp.empty (-> $$unsorted Bool)) % 4.96/5.19 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 4.96/5.19 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 4.96/5.19 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.96/5.19 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.96/5.19 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 4.96/5.19 (define @t1 () (@var "A" $$unsorted)) % 4.96/5.19 (define @t2 () (@var "B" $$unsorted)) % 4.96/5.19 (define @t3 () (@list @t1 @t2)) % 4.96/5.19 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 4.96/5.19 (define @t5 () (@var "F" $$unsorted)) % 4.96/5.19 (define @t6 () (@var "E" $$unsorted)) % 4.96/5.19 (define @t7 () (tptp.ordered_pair @t6 @t5)) % 4.96/5.19 (define @t8 () (@var "D" $$unsorted)) % 4.96/5.19 (define @t9 () (= @t8 @t7)) % 4.96/5.19 (define @t10 () (tptp.in @t5 @t2)) % 4.96/5.19 (define @t11 () (tptp.in @t6 @t1)) % 4.96/5.19 (define @t12 () (and @t11 @t10 @t9)) % 4.96/5.19 (define @t13 () (@list @t6 @t5)) % 4.96/5.19 (define @t14 () (exists @t13 @t12)) % 4.96/5.19 (define @t15 () (@var "C" $$unsorted)) % 4.96/5.19 (define @t16 () (tptp.in @t8 @t15)) % 4.96/5.19 (define @t17 () (= @t16 @t14)) % 4.96/5.19 (define @t18 () (@list @t8)) % 4.96/5.19 (define @t19 () (forall @t18 @t17)) % 4.96/5.19 (define @t20 () (= @t15 (tptp.cartesian_product2 @t1 @t2))) % 4.96/5.19 (define @t21 () (= @t20 @t19)) % 4.96/5.19 (define @t22 () (@list @t1 @t2 @t15)) % 4.96/5.19 (define @t23 () (forall @t22 @t21)) % 4.96/5.19 (define @t24 () (tptp.ordered_pair @t1 @t2)) % 4.96/5.19 (define @t25 () (tptp.empty @t1)) % 4.96/5.19 (define @t26 () (@list @t1)) % 4.96/5.19 (define @t27 () (tptp.ordered_pair @t8 @t6)) % 4.96/5.19 (define @t28 () (not (= @t27 @t1))) % 4.96/5.19 (define @t29 () (@list @t8 @t6)) % 4.96/5.19 (define @t30 () (forall @t29 @t28)) % 4.96/5.19 (define @t31 () (tptp.in @t1 (tptp.cartesian_product2 @t2 @t15))) % 4.96/5.19 (define @t32 () (and @t31 @t30)) % 4.96/5.19 (define @t33 () (not @t32)) % 4.96/5.19 (define @t34 () (forall @t22 @t33)) % 4.96/5.19 (define @t35 () (not @t34)) % 4.96/5.19 (define @t36 () (forall @t29 (not (= @t1 @t27)))) % 4.96/5.19 (define @t37 () (forall @t22 (or (not @t31) (not @t36)))) % 4.96/5.19 (define @t38 () (@quantifiers_skolemize @t37 0)) % 4.96/5.19 (define @t39 () (forall @t29 (not (= @t27 @t38)))) % 4.96/5.19 (define @t40 () (not @t39)) % 4.96/5.19 (define @t41 () (@quantifiers_skolemize @t37 2)) % 4.96/5.19 (define @t42 () (@quantifiers_skolemize @t37 1)) % 4.96/5.19 (define @t43 () (tptp.cartesian_product2 @t42 @t41)) % 4.96/5.19 (define @t44 () (tptp.in @t38 @t43)) % 4.96/5.19 (define @t45 () (not @t44)) % 4.96/5.19 (define @t46 () (or @t45 @t40)) % 4.96/5.19 (define @t47 () (not @t46)) % 4.96/5.19 (define @t48 () (not @t37)) % 4.96/5.19 (define @t49 () (not (= @t38 @t27))) % 4.96/5.19 (define @t50 () (forall @t29 @t49)) % 4.96/5.19 (define @t51 () (not @t50)) % 4.96/5.19 (define @t52 () (or @t45 @t51)) % 4.96/5.19 (define @t53 () (not @t52)) % 4.96/5.19 (define @t54 () (@list true)) % 4.96/5.19 (define @t55 () (@list @t46)) % 4.96/5.19 (define @t56 () (not @t9)) % 4.96/5.19 (define @t57 () (not @t10)) % 4.96/5.19 (define @t58 () (not @t11)) % 4.96/5.19 (define @t59 () (or @t58 @t57 @t56)) % 4.96/5.19 (define @t60 () (forall @t13 (not @t12))) % 4.96/5.19 (define @t61 () (not @t60)) % 4.96/5.19 (define @t62 () (tptp.in @t8 @t43)) % 4.96/5.19 (define @t63 () (not (tptp.in @t5 @t41))) % 4.96/5.19 (define @t64 () (not (tptp.in @t6 @t42))) % 4.96/5.19 (define @t65 () (not (forall @t13 (or @t64 @t63 @t56)))) % 4.96/5.19 (define @t66 () (forall @t18 (= @t65 @t62))) % 4.96/5.19 (define @t67 () (forall @t18 (= @t62 @t65))) % 4.96/5.19 (define @t68 () (= (= @t43 @t43) @t67)) % 4.96/5.19 (define @t69 () (forall @t22 (= @t20 (forall @t18 (= @t16 (not (forall @t13 @t59))))))) % 4.96/5.19 (define @t70 () (@list false)) % 4.96/5.19 (define @t71 () (not (= @t38 @t7))) % 4.96/5.19 (define @t72 () (or @t64 @t63 @t71)) % 4.96/5.19 (define @t73 () (forall @t13 @t72)) % 4.96/5.19 (define @t74 () (not @t73)) % 4.96/5.19 (define @t75 () (= @t74 @t44)) % 4.96/5.19 (define @t76 () (forall @t13 (or @t64 @t63 (not (= @t7 @t38))))) % 4.96/5.19 (define @t77 () (not @t76)) % 4.96/5.19 (define @t78 () (= @t44 @t77)) % 4.96/5.19 (define @t79 () (@list false false)) % 4.96/5.19 (define @t80 () (@quantifiers_skolemize @t76 1)) % 4.96/5.19 (define @t81 () (@quantifiers_skolemize @t76 0)) % 4.96/5.19 (define @t82 () (tptp.ordered_pair @t81 @t80)) % 4.96/5.19 (define @t83 () (= @t38 @t82)) % 4.96/5.19 (define @t84 () (not @t83)) % 4.96/5.19 (define @t85 () (not (tptp.in @t80 @t41))) % 4.96/5.19 (define @t86 () (not (tptp.in @t81 @t42))) % 4.96/5.19 (define @t87 () (or @t86 @t85 @t84)) % 4.96/5.19 (define @t88 () (not @t87)) % 4.96/5.19 (define @t89 () (not (= @t82 @t38))) % 4.96/5.19 (define @t90 () (or @t86 @t85 @t89)) % 4.96/5.19 (define @t91 () (not @t90)) % 4.96/5.19 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 4.96/5.19 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 4.96/5.19 (assume @p3 @t23) % 4.96/5.19 (assume @p4 (forall @t3 (= @t24 (tptp.unordered_pair @t4 (tptp.singleton @t1))))) % 4.96/5.19 (assume @p5 (forall @t3 (not (tptp.empty @t24)))) % 4.96/5.19 (assume @p6 (exists @t26 @t25)) % 4.96/5.19 (assume @p7 (exists @t26 (not @t25))) % 4.96/5.19 (assume @p8 @t35) % 4.96/5.19 (assume @p9 true) % 4.96/5.19 (step @p10 :rule bool-and-de-morgan :args (@t31 @t36 true)) % 4.96/5.19 (step @p11 :rule cong :premises (@p10) :args ((forall @t22 (not (and @t31 @t36))))) % 4.96/5.19 (step @p12 :rule eq-symm :args (@t27 @t1)) % 4.96/5.19 (step @p13 :rule cong :premises (@p12) :args (@t28)) % 4.96/5.19 (step @p14 :rule cong :premises (@p13) :args (@t30)) % 4.96/5.19 (step @p15 :rule refl :args (@t31)) % 4.96/5.19 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t32)) % 4.96/5.19 (step @p17 :rule cong :premises (@p16) :args (@t33)) % 4.96/5.19 (step @p18 :rule cong :premises (@p17) :args (@t34)) % 4.96/5.19 (step @p19 :rule trans :premises (@p18 @p11)) % 4.96/5.19 (step @p20 :rule cong :premises (@p19) :args (@t35)) % 4.96/5.19 (step @p21 :rule eq_resolve :premises (@p8 @p20)) % 4.96/5.19 (step @p22 :rule refl :args (@t47)) % 4.96/5.19 (step @p23 :rule bool-double-not-elim :args (@t37)) % 4.96/5.19 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t48) @t47))) % 4.96/5.19 (step @p25 :rule eq-symm :args (@t38 @t27)) % 4.96/5.19 (step @p26 :rule cong :premises (@p25) :args (@t49)) % 4.96/5.19 (step @p27 :rule cong :premises (@p26) :args (@t50)) % 4.96/5.19 (step @p28 :rule cong :premises (@p27) :args (@t51)) % 4.96/5.19 (step @p29 :rule refl :args (@t45)) % 4.96/5.19 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t52)) % 4.96/5.19 (step @p31 :rule cong :premises (@p30) :args (@t53)) % 4.96/5.19 (step @p32 :rule refl :args (@t48)) % 4.96/5.19 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t48 @t53))) % 4.96/5.19 (assume-push @p148 @t48) % 4.96/5.19 (step @p35 :rule skolemize :premises (@p21)) % 4.96/5.19 (step-pop @p149 :rule scope :premises (@p35)) % 4.96/5.19 (step @p36 :rule process_scope :premises (@p149) :args (@t53)) % 4.96/5.19 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 4.96/5.19 (step @p39 :rule implies_elim :premises (@p38)) % 4.96/5.19 (step @p40 :rule eq_resolve :premises (@p39 @p24)) % 4.96/5.19 (step @p41 :rule chain_m_resolution :premises (@p40 @p21) :args (@t47 @t54 (@list @t37))) % 4.96/5.19 (step @p42 :rule bool-double-not-elim :args (@t39)) % 4.96/5.19 (step @p43 :rule refl :args (@t46)) % 4.96/5.19 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t46 (not @t40)))) % 4.96/5.19 (step @p45 :rule cnf_or_neg :args (@t46 1)) % 4.96/5.19 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 4.96/5.19 (step @p47 :rule reordering :premises (@p46) :args ((or @t39 @t46))) % 4.96/5.19 (step @p48 :rule chain_m_resolution :premises (@p47 @p41) :args (@t39 @t54 @t55)) % 4.96/5.19 (step @p49 :rule aci_norm :args ((= (or @t58 (or @t57 @t56)) @t59))) % 4.96/5.19 (step @p50 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 4.96/5.19 (step @p51 :rule refl :args (@t58)) % 4.96/5.19 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t58 (not (and @t10 @t9))))) % 4.96/5.19 (step @p53 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9))) % 4.96/5.19 (step @p54 :rule trans :premises (@p53 @p52)) % 4.96/5.19 (step @p55 :rule trans :premises (@p54 @p49)) % 4.96/5.19 (step @p56 :rule cong :premises (@p55) :args (@t60)) % 4.96/5.19 (step @p57 :rule cong :premises (@p56) :args (@t61)) % 4.96/5.19 (step @p58 :rule exists-elim :args ((= @t14 @t61))) % 4.96/5.19 (step @p59 :rule trans :premises (@p58 @p57)) % 4.96/5.19 (step @p60 :rule refl :args (@t16)) % 4.96/5.19 (step @p61 :rule cong :premises (@p60 @p59) :args (@t17)) % 4.96/5.19 (step @p62 :rule cong :premises (@p61) :args (@t19)) % 4.96/5.19 (step @p63 :rule refl :args (@t20)) % 4.96/5.19 (step @p64 :rule cong :premises (@p63 @p62) :args (@t21)) % 4.96/5.19 (step @p65 :rule cong :premises (@p64) :args (@t23)) % 4.96/5.19 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 4.96/5.19 (step @p67 :rule bool-eq-true :args (@t66)) % 4.96/5.19 (step @p68 :rule eq-symm :args (true @t66)) % 4.96/5.19 (step @p69 :rule trans :premises (@p68 @p67)) % 4.96/5.19 (step @p70 :rule eq-symm :args (@t62 @t65)) % 4.96/5.19 (step @p71 :rule cong :premises (@p70) :args (@t67)) % 4.96/5.19 (step @p72 :rule eq-refl :args (@t43)) % 4.96/5.19 (step @p73 :rule cong :premises (@p72 @p71) :args (@t68)) % 4.96/5.19 (step @p74 :rule trans :premises (@p73 @p69)) % 4.96/5.19 (step @p75 :rule refl :args (@t69)) % 4.96/5.19 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t69 @t68))) % 4.96/5.19 (assume-push @p150 @t69) % 4.96/5.19 (step @p78 :rule instantiate :premises (@p66) :args ((@list @t42 @t41 @t43))) % 4.96/5.19 (step-pop @p151 :rule scope :premises (@p78)) % 4.96/5.19 (step @p79 :rule process_scope :premises (@p151) :args (@t68)) % 4.96/5.19 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 4.96/5.19 (step @p82 :rule implies_elim :premises (@p81)) % 4.96/5.19 (step @p83 :rule chain_m_resolution :premises (@p82 @p66) :args (@t66 @t70 (@list @t69))) % 4.96/5.19 (step @p84 :rule eq-symm :args (@t38 @t7)) % 4.96/5.19 (step @p85 :rule cong :premises (@p84) :args (@t71)) % 4.96/5.19 (step @p86 :rule refl :args (@t63)) % 4.96/5.19 (step @p87 :rule refl :args (@t64)) % 4.96/5.19 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85) :args (@t72)) % 4.96/5.19 (step @p89 :rule cong :premises (@p88) :args (@t73)) % 4.96/5.19 (step @p90 :rule cong :premises (@p89) :args (@t74)) % 4.96/5.19 (step @p91 :rule refl :args (@t44)) % 4.96/5.19 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t44 @t74))) % 4.96/5.19 (step @p93 :rule eq-symm :args (@t74 @t44)) % 4.96/5.19 (step @p94 :rule trans :premises (@p93 @p92)) % 4.96/5.19 (step @p95 :rule refl :args (@t66)) % 4.96/5.19 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t66 @t75))) % 4.96/5.19 (assume-push @p152 @t66) % 4.96/5.19 (step @p98 :rule instantiate :premises (@p83) :args ((@list @t38))) % 4.96/5.19 (step-pop @p153 :rule scope :premises (@p98)) % 4.96/5.19 (step @p99 :rule process_scope :premises (@p153) :args (@t75)) % 4.96/5.19 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 4.96/5.19 (step @p102 :rule implies_elim :premises (@p101)) % 4.96/5.19 (step @p103 :rule chain_m_resolution :premises (@p102 @p83) :args (@t78 @t70 (@list @t66))) % 4.96/5.19 (step @p104 :rule bool-double-not-elim :args (@t44)) % 4.96/5.19 (step @p105 :rule nary_cong :premises (@p43 @p104) :args ((or @t46 (not @t45)))) % 4.96/5.19 (step @p106 :rule cnf_or_neg :args (@t46 0)) % 4.96/5.19 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 4.96/5.19 (step @p108 :rule reordering :premises (@p107) :args ((or @t44 @t46))) % 4.96/5.19 (step @p109 :rule chain_m_resolution :premises (@p108 @p41) :args (@t44 @t54 @t55)) % 4.96/5.19 (step @p110 :rule cnf_equiv_pos1 :args (@t78)) % 4.96/5.19 (step @p111 :rule reordering :premises (@p110) :args ((or @t45 @t77 (not @t78)))) % 4.96/5.19 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p103) :args (@t77 @t79 (@list @t44 @t78))) % 4.96/5.19 (step @p113 :rule refl :args (@t88)) % 4.96/5.19 (step @p114 :rule bool-double-not-elim :args (@t76)) % 4.96/5.19 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t77) @t88))) % 4.96/5.19 (step @p116 :rule eq-symm :args (@t82 @t38)) % 4.96/5.19 (step @p117 :rule cong :premises (@p116) :args (@t89)) % 4.96/5.19 (step @p118 :rule refl :args (@t85)) % 4.96/5.19 (step @p119 :rule refl :args (@t86)) % 4.96/5.19 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t90)) % 4.96/5.19 (step @p121 :rule cong :premises (@p120) :args (@t91)) % 4.96/5.19 (step @p122 :rule refl :args (@t77)) % 4.96/5.19 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t77 @t91))) % 4.96/5.19 (assume-push @p154 @t77) % 4.96/5.19 (step @p125 :rule skolemize :premises (@p112)) % 4.96/5.19 (step-pop @p155 :rule scope :premises (@p125)) % 4.96/5.19 (step @p126 :rule process_scope :premises (@p155) :args (@t91)) % 4.96/5.19 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 4.96/5.19 (step @p129 :rule implies_elim :premises (@p128)) % 4.96/5.19 (step @p130 :rule eq_resolve :premises (@p129 @p115)) % 4.96/5.19 (step @p131 :rule chain_m_resolution :premises (@p130 @p112) :args (@t88 @t54 (@list @t76))) % 4.96/5.19 (step @p132 :rule bool-double-not-elim :args (@t83)) % 4.96/5.19 (step @p133 :rule refl :args (@t87)) % 4.96/5.19 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t87 (not @t84)))) % 4.96/5.19 (step @p135 :rule cnf_or_neg :args (@t87 2)) % 4.96/5.19 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 4.96/5.19 (step @p137 :rule reordering :premises (@p136) :args ((or @t83 @t87))) % 4.96/5.19 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t83 @t54 (@list @t87))) % 4.96/5.19 (step @p139 :rule refl :args (@t39)) % 4.96/5.19 (step @p140 :rule cong :premises (@p139 @p117) :args ((=> @t39 @t89))) % 4.96/5.19 (assume-push @p156 @t39) % 4.96/5.19 (step @p142 :rule instantiate :premises (@p48) :args ((@list @t81 @t80))) % 4.96/5.19 (step-pop @p157 :rule scope :premises (@p142)) % 4.96/5.19 (step @p143 :rule process_scope :premises (@p157) :args (@t89)) % 4.96/5.19 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 4.96/5.19 (step @p146 :rule implies_elim :premises (@p145)) % 4.96/5.19 (step @p147 false :rule chain_m_resolution :premises (@p146 @p138 @p48) :args (false @t79 (@list @t83 @t39))) % 4.96/5.19 ) % 4.96/5.19 % SZS output end Proof % 4.96/5.19 % cvc5 exiting %------------------------------------------------------------------------------