%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU137+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:50:40 AM UTC 2026 % Result : Theorem 27.93s 28.17s % Output : Proof 27.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU137+1 : TPTP v9.2.1. Released v3.3.0. % 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 : n013.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 16:31:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 27.93/28.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.93/28.17 --- Run --no-e-matching --full-saturate-quant at 6... % 27.93/28.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.93/28.17 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.93/28.17 % SZS status Theorem % 27.93/28.17 % SZS output start Proof % 27.93/28.17 ( % 27.93/28.17 (declare-sort $$unsorted 0) % 27.93/28.17 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.93/28.17 (declare-const tptp.empty_set $$unsorted) % 27.93/28.17 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 27.93/28.17 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 27.93/28.17 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 27.93/28.17 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.93/28.17 (define @t1 () (@var "A" $$unsorted)) % 27.93/28.17 (define @t2 () (@var "B" $$unsorted)) % 27.93/28.17 (define @t3 () (tptp.in @t1 @t2)) % 27.93/28.17 (define @t4 () (@list @t1 @t2)) % 27.93/28.17 (define @t5 () (tptp.set_union2 @t2 @t1)) % 27.93/28.17 (define @t6 () (tptp.set_union2 @t1 @t2)) % 27.93/28.17 (define @t7 () (@var "D" $$unsorted)) % 27.93/28.17 (define @t8 () (tptp.in @t7 @t2)) % 27.93/28.17 (define @t9 () (tptp.in @t7 @t1)) % 27.93/28.17 (define @t10 () (@var "C" $$unsorted)) % 27.93/28.17 (define @t11 () (tptp.in @t7 @t10)) % 27.93/28.17 (define @t12 () (@list @t7)) % 27.93/28.17 (define @t13 () (forall @t12 (= @t11 (or @t9 @t8)))) % 27.93/28.17 (define @t14 () (= (= @t10 @t6) @t13)) % 27.93/28.17 (define @t15 () (@list @t1 @t2 @t10)) % 27.93/28.17 (define @t16 () (forall @t15 @t14)) % 27.93/28.17 (define @t17 () (tptp.in @t10 @t2)) % 27.93/28.17 (define @t18 () (tptp.in @t10 @t1)) % 27.93/28.17 (define @t19 () (@list @t10)) % 27.93/28.17 (define @t20 () (forall @t19 (=> @t18 @t17))) % 27.93/28.17 (define @t21 () (tptp.subset @t1 @t2)) % 27.93/28.17 (define @t22 () (= @t21 @t20)) % 27.93/28.17 (define @t23 () (forall @t4 @t22)) % 27.93/28.17 (define @t24 () (forall @t15 (= (= @t10 (tptp.set_difference @t1 @t2)) (forall @t12 (= @t11 (and @t9 (not @t8))))))) % 27.93/28.17 (define @t25 () (tptp.empty @t1)) % 27.93/28.17 (define @t26 () (not @t25)) % 27.93/28.17 (define @t27 () (@list @t1)) % 27.93/28.17 (define @t28 () (= @t1 @t2)) % 27.93/28.17 (define @t29 () (= @t2 (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1)))) % 27.93/28.17 (define @t30 () (forall @t4 (=> @t21 @t29))) % 27.93/28.17 (define @t31 () (not @t30)) % 27.93/28.17 (define @t32 () (tptp.empty @t2)) % 27.93/28.17 (define @t33 () (forall @t4 (or (not @t21) @t29))) % 27.93/28.17 (define @t34 () (@quantifiers_skolemize @t33 1)) % 27.93/28.17 (define @t35 () (@quantifiers_skolemize @t33 0)) % 27.93/28.17 (define @t36 () (tptp.subset @t35 @t34)) % 27.93/28.17 (define @t37 () (tptp.set_difference @t34 @t35)) % 27.93/28.17 (define @t38 () (tptp.set_union2 @t35 @t37)) % 27.93/28.17 (define @t39 () (= @t34 @t38)) % 27.93/28.17 (define @t40 () (not @t36)) % 27.93/28.17 (define @t41 () (or @t40 @t39)) % 27.93/28.17 (define @t42 () (@list true)) % 27.93/28.17 (define @t43 () (@list @t41)) % 27.93/28.17 (define @t44 () (forall @t19 (or (not (tptp.in @t10 @t35)) (tptp.in @t10 @t34)))) % 27.93/28.17 (define @t45 () (= @t36 @t44)) % 27.93/28.17 (define @t46 () (= @t6 @t10)) % 27.93/28.17 (define @t47 () (tptp.in @t7 @t37)) % 27.93/28.17 (define @t48 () (tptp.in @t7 @t35)) % 27.93/28.17 (define @t49 () (or @t48 @t47)) % 27.93/28.17 (define @t50 () (tptp.in @t7 @t34)) % 27.93/28.17 (define @t51 () (= @t50 @t49)) % 27.93/28.17 (define @t52 () (forall @t12 @t51)) % 27.93/28.17 (define @t53 () (= @t38 @t34)) % 27.93/28.17 (define @t54 () (forall @t15 (= @t13 @t46))) % 27.93/28.17 (define @t55 () (= @t52 @t53)) % 27.93/28.17 (define @t56 () (= @t39 @t52)) % 27.93/28.17 (define @t57 () (@list false)) % 27.93/28.17 (define @t58 () (not @t52)) % 27.93/28.17 (define @t59 () (@list true false)) % 27.93/28.17 (define @t60 () (or @t47 @t48)) % 27.93/28.17 (define @t61 () (forall @t12 (= @t50 @t60))) % 27.93/28.17 (define @t62 () (not @t61)) % 27.93/28.17 (define @t63 () (@quantifiers_skolemize @t61 0)) % 27.93/28.17 (define @t64 () (tptp.in @t63 @t35)) % 27.93/28.17 (define @t65 () (tptp.in @t63 @t37)) % 27.93/28.17 (define @t66 () (or @t65 @t64)) % 27.93/28.17 (define @t67 () (tptp.in @t63 @t34)) % 27.93/28.17 (define @t68 () (= @t67 @t66)) % 27.93/28.17 (define @t69 () (forall @t12 (= @t47 (and @t50 (not @t48))))) % 27.93/28.17 (define @t70 () (= (= @t37 @t37) @t69)) % 27.93/28.17 (define @t71 () (@list @t63)) % 27.93/28.17 (define @t72 () (not @t64)) % 27.93/28.17 (define @t73 () (and @t67 @t72)) % 27.93/28.17 (define @t74 () (= @t65 @t73)) % 27.93/28.17 (define @t75 () (not @t74)) % 27.93/28.17 (define @t76 () (not @t73)) % 27.93/28.17 (define @t77 () (not @t67)) % 27.93/28.17 (define @t78 () (not @t65)) % 27.93/28.17 (define @t79 () (or @t72 @t67)) % 27.93/28.17 (define @t80 () (not @t79)) % 27.93/28.17 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 27.93/28.17 (assume @p2 (forall @t4 (= @t6 @t5))) % 27.93/28.17 (assume @p3 @t16) % 27.93/28.17 (assume @p4 @t23) % 27.93/28.17 (assume @p5 @t24) % 27.93/28.17 (assume @p6 true) % 27.93/28.17 (assume @p7 (tptp.empty tptp.empty_set)) % 27.93/28.17 (assume @p8 (forall @t4 (=> @t26 (not (tptp.empty @t6))))) % 27.93/28.17 (assume @p9 (forall @t4 (=> @t26 (not (tptp.empty @t5))))) % 27.93/28.17 (assume @p10 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 27.93/28.17 (assume @p11 (exists @t27 @t25)) % 27.93/28.17 (assume @p12 (exists @t27 @t26)) % 27.93/28.17 (assume @p13 (forall @t4 (tptp.subset @t1 @t1))) % 27.93/28.17 (assume @p14 (forall @t27 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 27.93/28.17 (assume @p15 (forall @t4 (=> (forall @t19 (= @t18 @t17)) @t28))) % 27.93/28.17 (assume @p16 (forall @t27 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 27.93/28.17 (assume @p17 @t31) % 27.93/28.17 (assume @p18 (forall @t27 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 27.93/28.17 (assume @p19 (forall @t27 (=> @t25 (= @t1 tptp.empty_set)))) % 27.93/28.17 (assume @p20 (forall @t4 (not (and @t3 @t32)))) % 27.93/28.17 (assume @p21 (forall @t4 (not (and @t25 (not @t28) @t32)))) % 27.93/28.17 (step @p22 :rule bool-impl-elim :args (@t18 @t17)) % 27.93/28.17 (step @p23 :rule cong :premises (@p22) :args (@t20)) % 27.93/28.17 (step @p24 :rule refl :args (@t21)) % 27.93/28.17 (step @p25 :rule cong :premises (@p24 @p23) :args (@t22)) % 27.93/28.17 (step @p26 :rule cong :premises (@p25) :args (@t23)) % 27.93/28.17 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 27.93/28.17 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t35 @t34))) % 27.93/28.17 (step @p29 :rule bool-impl-elim :args (@t21 @t29)) % 27.93/28.17 (step @p30 :rule cong :premises (@p29) :args (@t30)) % 27.93/28.17 (step @p31 :rule cong :premises (@p30) :args (@t31)) % 27.93/28.17 (step @p32 :rule eq_resolve :premises (@p17 @p31)) % 27.93/28.17 (step @p33 :rule skolemize :premises (@p32)) % 27.93/28.17 (step @p34 :rule bool-double-not-elim :args (@t36)) % 27.93/28.17 (step @p35 :rule refl :args (@t41)) % 27.93/28.17 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t41 (not @t40)))) % 27.93/28.17 (step @p37 :rule cnf_or_neg :args (@t41 0)) % 27.93/28.17 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 27.93/28.17 (step @p39 :rule reordering :premises (@p38) :args ((or @t36 @t41))) % 27.93/28.17 (step @p40 :rule chain_m_resolution :premises (@p39 @p33) :args (@t36 @t42 @t43)) % 27.93/28.17 (step @p41 :rule cnf_equiv_pos1 :args (@t45)) % 27.93/28.17 (step @p42 :rule reordering :premises (@p41) :args ((or @t40 @t44 (not @t45)))) % 27.93/28.17 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p28) :args (@t44 (@list false false) (@list @t36 @t45))) % 27.93/28.17 (step @p44 :rule eq-symm :args (@t46 @t13)) % 27.93/28.17 (step @p45 :rule refl :args (@t13)) % 27.93/28.17 (step @p46 :rule eq-symm :args (@t10 @t6)) % 27.93/28.17 (step @p47 :rule cong :premises (@p46 @p45) :args (@t14)) % 27.93/28.17 (step @p48 :rule trans :premises (@p47 @p44)) % 27.93/28.17 (step @p49 :rule cong :premises (@p48) :args (@t16)) % 27.93/28.17 (step @p50 :rule eq_resolve :premises (@p3 @p49)) % 27.93/28.17 (step @p51 :rule refl :args (@t52)) % 27.93/28.17 (step @p52 :rule eq-symm :args (@t38 @t34)) % 27.93/28.17 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t53 @t52))) % 27.93/28.17 (step @p54 :rule eq-symm :args (@t52 @t53)) % 27.93/28.17 (step @p55 :rule trans :premises (@p54 @p53)) % 27.93/28.17 (step @p56 :rule refl :args (@t54)) % 27.93/28.17 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t54 @t55))) % 27.93/28.17 (assume-push @p133 @t54) % 27.93/28.17 (step @p59 :rule instantiate :premises (@p50) :args ((@list @t35 @t37 @t34))) % 27.93/28.17 (step-pop @p134 :rule scope :premises (@p59)) % 27.93/28.17 (step @p60 :rule process_scope :premises (@p134) :args (@t55)) % 27.93/28.17 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 27.93/28.17 (step @p63 :rule implies_elim :premises (@p62)) % 27.93/28.17 (step @p64 :rule chain_m_resolution :premises (@p63 @p50) :args (@t56 @t57 (@list @t54))) % 27.93/28.17 (step @p65 :rule cnf_or_neg :args (@t41 1)) % 27.93/28.17 (step @p66 :rule chain_m_resolution :premises (@p65 @p33) :args ((not @t39) @t42 @t43)) % 27.93/28.17 (step @p67 :rule cnf_equiv_pos2 :args (@t56)) % 27.93/28.17 (step @p68 :rule reordering :premises (@p67) :args ((or @t39 @t58 (not @t56)))) % 27.93/28.17 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p64) :args (@t58 @t59 (@list @t39 @t56))) % 27.93/28.17 (step @p70 :rule aci_norm :args ((= @t49 @t60))) % 27.93/28.17 (step @p71 :rule refl :args (@t50)) % 27.93/28.17 (step @p72 :rule cong :premises (@p71 @p70) :args (@t51)) % 27.93/28.17 (step @p73 :rule cong :premises (@p72) :args (@t52)) % 27.93/28.17 (step @p74 :rule true_intro :premises (@p73)) % 27.93/28.17 (step @p75 :rule eq-symm :args (@t61 @t52)) % 27.93/28.17 (step @p76 :rule trans :premises (@p75 @p74)) % 27.93/28.17 (step @p77 :rule true_elim :premises (@p76)) % 27.93/28.17 (step @p78 :rule equiv_elim1 :premises (@p77)) % 27.93/28.17 (step @p79 :rule reordering :premises (@p78) :args ((or @t52 @t62))) % 27.93/28.17 (step @p80 :rule chain_m_resolution :premises (@p79 @p69) :args (@t62 @t42 (@list @t52))) % 27.93/28.17 (step @p81 :rule skolemize :premises (@p80)) % 27.93/28.17 (step @p82 :rule cnf_equiv_neg2 :args (@t68)) % 27.93/28.17 (step @p83 :rule cnf_or_neg :args (@t66 0)) % 27.93/28.17 (step @p84 :rule cnf_or_neg :args (@t66 1)) % 27.93/28.18 (step @p85 :rule bool-eq-true :args (@t69)) % 27.93/28.18 (step @p86 :rule eq-symm :args (true @t69)) % 27.93/28.18 (step @p87 :rule trans :premises (@p86 @p85)) % 27.93/28.18 (step @p88 :rule refl :args (@t69)) % 27.93/28.18 (step @p89 :rule eq-refl :args (@t37)) % 27.93/28.18 (step @p90 :rule cong :premises (@p89 @p88) :args (@t70)) % 27.93/28.18 (step @p91 :rule trans :premises (@p90 @p87)) % 27.93/28.18 (step @p92 :rule refl :args (@t24)) % 27.93/28.18 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t24 @t70))) % 27.93/28.18 (assume-push @p135 @t24) % 27.93/28.18 (step @p95 :rule instantiate :premises (@p5) :args ((@list @t34 @t35 @t37))) % 27.93/28.18 (step-pop @p136 :rule scope :premises (@p95)) % 27.93/28.18 (step @p96 :rule process_scope :premises (@p136) :args (@t70)) % 27.93/28.18 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 27.93/28.18 (step @p99 :rule implies_elim :premises (@p98)) % 27.93/28.18 (step @p100 :rule chain_m_resolution :premises (@p99 @p5) :args (@t69 @t57 (@list @t24))) % 27.93/28.18 (step @p101 :rule instantiate :premises (@p100) :args (@t71)) % 27.93/28.18 (step @p102 :rule cnf_equiv_pos2 :args (@t74)) % 27.93/28.18 (step @p103 :rule reordering :premises (@p102) :args ((or @t65 @t76 @t75))) % 27.93/28.18 (step @p104 :rule bool-double-not-elim :args (@t64)) % 27.93/28.18 (step @p105 :rule refl :args (@t77)) % 27.93/28.18 (step @p106 :rule refl :args (@t73)) % 27.93/28.18 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args ((or @t73 @t77 (not @t72)))) % 27.93/28.18 (step @p108 :rule cnf_and_neg :args (@t73)) % 27.93/28.18 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 27.93/28.18 (step @p110 :rule reordering :premises (@p109) :args ((or @t64 @t77 @t73))) % 27.93/28.18 (step @p111 :rule chain_m_resolution :premises (@p110 @p103 @p101 @p84 @p83 @p82 @p81) :args (@t77 (@list true false true true true true) (@list @t73 @t74 @t64 @t65 @t66 @t68))) % 27.93/28.18 (step @p112 :rule cnf_equiv_neg1 :args (@t68)) % 27.93/28.18 (step @p113 :rule reordering :premises (@p112) :args ((or @t67 @t66 @t68))) % 27.93/28.18 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p81) :args (@t66 (@list true true) (@list @t67 @t68))) % 27.93/28.18 (step @p115 :rule cnf_and_pos :args (@t73 0)) % 27.93/28.18 (step @p116 :rule reordering :premises (@p115) :args ((or @t67 @t76))) % 27.93/28.18 (step @p117 :rule chain_m_resolution :premises (@p116 @p111) :args (@t76 @t42 (@list @t67))) % 27.93/28.18 (step @p118 :rule cnf_equiv_pos1 :args (@t74)) % 27.93/28.18 (step @p119 :rule reordering :premises (@p118) :args ((or @t78 @t73 @t75))) % 27.93/28.18 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p101) :args (@t78 @t59 (@list @t73 @t74))) % 27.93/28.18 (step @p121 :rule cnf_or_pos :args (@t66)) % 27.93/28.18 (step @p122 :rule reordering :premises (@p121) :args ((or @t65 @t64 (not @t66)))) % 27.93/28.18 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p114) :args (@t64 @t59 (@list @t65 @t66))) % 27.93/28.18 (step @p124 :rule cnf_or_pos :args (@t79)) % 27.93/28.18 (step @p125 :rule reordering :premises (@p124) :args ((or @t67 @t72 @t80))) % 27.93/28.18 (step @p126 :rule chain_m_resolution :premises (@p125 @p111 @p123) :args (@t80 @t59 (@list @t67 @t64))) % 27.93/28.18 (assume-push @p137 @t44) % 27.93/28.18 (step @p128 :rule instantiate :premises (@p43) :args (@t71)) % 27.93/28.18 (step-pop @p138 :rule scope :premises (@p128)) % 27.93/28.18 (step @p129 :rule process_scope :premises (@p138) :args (@t79)) % 27.93/28.18 (step @p131 :rule implies_elim :premises (@p129)) % 27.93/28.18 (step @p132 false :rule chain_m_resolution :premises (@p131 @p126 @p43) :args (false @t59 (@list @t79 @t44))) % 27.93/28.18 ) % 27.93/28.18 % SZS output end Proof % 27.93/28.18 % cvc5 exiting %------------------------------------------------------------------------------