%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET942+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 : 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 08:49:02 AM UTC 2026 % Result : Theorem 34.86s 35.04s % Output : Proof 34.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET942+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:18:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.86/35.04 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.86/35.04 --- Run --no-e-matching --full-saturate-quant at 6... % 34.86/35.04 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.86/35.04 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.86/35.04 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.86/35.04 % SZS status Theorem % 34.86/35.04 % SZS output start Proof % 34.86/35.04 ( % 34.86/35.04 (declare-sort $$unsorted 0) % 34.86/35.04 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.86/35.04 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 34.86/35.04 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.86/35.04 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.86/35.04 (define @t1 () (@var "A" $$unsorted)) % 34.86/35.04 (define @t2 () (@var "B" $$unsorted)) % 34.86/35.04 (define @t3 () (@list @t1 @t2)) % 34.86/35.04 (define @t4 () (@var "C" $$unsorted)) % 34.86/35.04 (define @t5 () (tptp.in @t4 @t2)) % 34.86/35.04 (define @t6 () (tptp.in @t4 @t1)) % 34.86/35.04 (define @t7 () (@list @t4)) % 34.86/35.04 (define @t8 () (forall @t7 (=> @t6 @t5))) % 34.86/35.04 (define @t9 () (tptp.subset @t1 @t2)) % 34.86/35.04 (define @t10 () (= @t9 @t8)) % 34.86/35.04 (define @t11 () (forall @t3 @t10)) % 34.86/35.04 (define @t12 () (@var "D" $$unsorted)) % 34.86/35.04 (define @t13 () (tptp.in @t12 @t1)) % 34.86/35.04 (define @t14 () (tptp.in @t4 @t12)) % 34.86/35.04 (define @t15 () (and @t14 @t13)) % 34.86/35.04 (define @t16 () (@list @t12)) % 34.86/35.04 (define @t17 () (exists @t16 @t15)) % 34.86/35.04 (define @t18 () (= @t5 @t17)) % 34.86/35.04 (define @t19 () (forall @t7 @t18)) % 34.86/35.04 (define @t20 () (tptp.union @t1)) % 34.86/35.04 (define @t21 () (= @t2 @t20)) % 34.86/35.04 (define @t22 () (= @t21 @t19)) % 34.86/35.04 (define @t23 () (forall @t3 @t22)) % 34.86/35.04 (define @t24 () (tptp.empty @t1)) % 34.86/35.04 (define @t25 () (@list @t1)) % 34.86/35.04 (define @t26 () (tptp.subset @t20 (tptp.union @t2))) % 34.86/35.04 (define @t27 () (forall @t3 (=> @t9 @t26))) % 34.86/35.04 (define @t28 () (not @t27)) % 34.86/35.04 (define @t29 () (forall @t16 (not @t15))) % 34.86/35.04 (define @t30 () (not @t29)) % 34.86/35.04 (define @t31 () (forall @t3 (or (not @t9) @t26))) % 34.86/35.04 (define @t32 () (@quantifiers_skolemize @t31 0)) % 34.86/35.04 (define @t33 () (not (tptp.in @t12 @t32))) % 34.86/35.04 (define @t34 () (not @t14)) % 34.86/35.04 (define @t35 () (tptp.union @t32)) % 34.86/35.04 (define @t36 () (tptp.in @t4 @t35)) % 34.86/35.04 (define @t37 () (forall @t7 (= @t36 (not (forall @t16 (or @t34 @t33)))))) % 34.86/35.04 (define @t38 () (= (= @t35 @t35) @t37)) % 34.86/35.04 (define @t39 () (forall @t3 (= @t21 (forall @t7 (= @t5 (not (forall @t16 (or @t34 (not @t13))))))))) % 34.86/35.04 (define @t40 () (@list false)) % 34.86/35.04 (define @t41 () (@list @t39)) % 34.86/35.04 (define @t42 () (@quantifiers_skolemize @t31 1)) % 34.86/35.04 (define @t43 () (tptp.union @t42)) % 34.86/35.04 (define @t44 () (tptp.in @t4 @t43)) % 34.86/35.04 (define @t45 () (forall @t7 (or (not @t36) @t44))) % 34.86/35.04 (define @t46 () (@quantifiers_skolemize @t45 0)) % 34.86/35.04 (define @t47 () (not (tptp.in @t46 @t12))) % 34.86/35.04 (define @t48 () (forall @t16 (or @t47 @t33))) % 34.86/35.04 (define @t49 () (@quantifiers_skolemize @t48 0)) % 34.86/35.04 (define @t50 () (tptp.in @t46 @t49)) % 34.86/35.04 (define @t51 () (tptp.in @t49 @t32)) % 34.86/35.04 (define @t52 () (not @t51)) % 34.86/35.04 (define @t53 () (not @t50)) % 34.86/35.04 (define @t54 () (or @t53 @t52)) % 34.86/35.04 (define @t55 () (not (tptp.in @t12 @t42))) % 34.86/35.04 (define @t56 () (forall @t7 (= @t44 (not (forall @t16 (or @t34 @t55)))))) % 34.86/35.04 (define @t57 () (= (= @t43 @t43) @t56)) % 34.86/35.04 (define @t58 () (@list @t46)) % 34.86/35.04 (define @t59 () (tptp.subset @t35 @t43)) % 34.86/35.04 (define @t60 () (tptp.subset @t32 @t42)) % 34.86/35.04 (define @t61 () (not @t60)) % 34.86/35.04 (define @t62 () (or @t61 @t59)) % 34.86/35.04 (define @t63 () (@list true)) % 34.86/35.04 (define @t64 () (@list @t62)) % 34.86/35.04 (define @t65 () (= @t59 @t45)) % 34.86/35.04 (define @t66 () (not @t45)) % 34.86/35.04 (define @t67 () (@list true false)) % 34.86/35.04 (define @t68 () (tptp.in @t46 @t43)) % 34.86/35.04 (define @t69 () (tptp.in @t46 @t35)) % 34.86/35.04 (define @t70 () (not @t69)) % 34.86/35.04 (define @t71 () (or @t70 @t68)) % 34.86/35.04 (define @t72 () (@list @t71)) % 34.86/35.04 (define @t73 () (forall @t16 (or @t47 @t55))) % 34.86/35.04 (define @t74 () (not @t73)) % 34.86/35.04 (define @t75 () (= @t68 @t74)) % 34.86/35.04 (define @t76 () (not @t75)) % 34.86/35.04 (define @t77 () (@list @t49)) % 34.86/35.04 (define @t78 () (tptp.in @t49 @t42)) % 34.86/35.04 (define @t79 () (not @t78)) % 34.86/35.04 (define @t80 () (or @t53 @t79)) % 34.86/35.04 (define @t81 () (forall @t7 (or (not (tptp.in @t4 @t32)) (tptp.in @t4 @t42)))) % 34.86/35.04 (define @t82 () (= @t60 @t81)) % 34.86/35.04 (define @t83 () (@list false false)) % 34.86/35.04 (define @t84 () (or @t52 @t78)) % 34.86/35.04 (define @t85 () (not @t54)) % 34.86/35.04 (define @t86 () (not @t48)) % 34.86/35.04 (define @t87 () (= @t69 @t86)) % 34.86/35.04 (define @t88 () (not @t87)) % 34.86/35.04 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 34.86/35.04 (assume @p2 @t11) % 34.86/35.04 (assume @p3 @t23) % 34.86/35.04 (assume @p4 (exists @t25 @t24)) % 34.86/35.04 (assume @p5 (exists @t25 (not @t24))) % 34.86/35.04 (assume @p6 (forall @t3 (tptp.subset @t1 @t1))) % 34.86/35.04 (assume @p7 @t28) % 34.86/35.04 (assume @p8 true) % 34.86/35.04 (step @p9 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 34.86/35.04 (step @p10 :rule cong :premises (@p9) :args (@t29)) % 34.86/35.04 (step @p11 :rule cong :premises (@p10) :args (@t30)) % 34.86/35.04 (step @p12 :rule exists-elim :args ((= @t17 @t30))) % 34.86/35.04 (step @p13 :rule trans :premises (@p12 @p11)) % 34.86/35.04 (step @p14 :rule refl :args (@t5)) % 34.86/35.04 (step @p15 :rule cong :premises (@p14 @p13) :args (@t18)) % 34.86/35.04 (step @p16 :rule cong :premises (@p15) :args (@t19)) % 34.86/35.04 (step @p17 :rule refl :args (@t21)) % 34.86/35.04 (step @p18 :rule cong :premises (@p17 @p16) :args (@t22)) % 34.86/35.04 (step @p19 :rule cong :premises (@p18) :args (@t23)) % 34.86/35.04 (step @p20 :rule eq_resolve :premises (@p3 @p19)) % 34.86/35.04 (step @p21 :rule bool-eq-true :args (@t37)) % 34.86/35.04 (step @p22 :rule eq-symm :args (true @t37)) % 34.86/35.04 (step @p23 :rule trans :premises (@p22 @p21)) % 34.86/35.04 (step @p24 :rule refl :args (@t37)) % 34.86/35.04 (step @p25 :rule eq-refl :args (@t35)) % 34.86/35.04 (step @p26 :rule cong :premises (@p25 @p24) :args (@t38)) % 34.86/35.04 (step @p27 :rule trans :premises (@p26 @p23)) % 34.86/35.04 (step @p28 :rule refl :args (@t39)) % 34.86/35.04 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t39 @t38))) % 34.86/35.04 (assume-push @p136 @t39) % 34.86/35.04 (step @p31 :rule instantiate :premises (@p20) :args ((@list @t32 @t35))) % 34.86/35.04 (step-pop @p137 :rule scope :premises (@p31)) % 34.86/35.04 (step @p32 :rule process_scope :premises (@p137) :args (@t38)) % 34.86/35.04 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 34.86/35.04 (step @p35 :rule implies_elim :premises (@p34)) % 34.86/35.04 (step @p36 :rule chain_m_resolution :premises (@p35 @p20) :args (@t37 @t40 @t41)) % 34.86/35.04 (step @p37 :rule bool-double-not-elim :args (@t50)) % 34.86/35.04 (step @p38 :rule refl :args (@t54)) % 34.86/35.04 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t54 (not @t53)))) % 34.86/35.04 (step @p40 :rule cnf_or_neg :args (@t54 0)) % 34.86/35.04 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 34.86/35.04 (step @p42 :rule reordering :premises (@p41) :args ((or @t50 @t54))) % 34.86/35.04 (step @p43 :rule bool-double-not-elim :args (@t51)) % 34.86/35.04 (step @p44 :rule nary_cong :premises (@p38 @p43) :args ((or @t54 (not @t52)))) % 34.86/35.04 (step @p45 :rule cnf_or_neg :args (@t54 1)) % 34.86/35.04 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 34.86/35.04 (step @p47 :rule reordering :premises (@p46) :args ((or @t51 @t54))) % 34.86/35.04 (step @p48 :rule bool-eq-true :args (@t56)) % 34.86/35.04 (step @p49 :rule eq-symm :args (true @t56)) % 34.86/35.04 (step @p50 :rule trans :premises (@p49 @p48)) % 34.86/35.04 (step @p51 :rule refl :args (@t56)) % 34.86/35.04 (step @p52 :rule eq-refl :args (@t43)) % 34.86/35.04 (step @p53 :rule cong :premises (@p52 @p51) :args (@t57)) % 34.86/35.04 (step @p54 :rule trans :premises (@p53 @p50)) % 34.86/35.04 (step @p55 :rule cong :premises (@p28 @p54) :args ((=> @t39 @t57))) % 34.86/35.04 (assume-push @p138 @t39) % 34.86/35.04 (step @p57 :rule instantiate :premises (@p20) :args ((@list @t42 @t43))) % 34.86/35.04 (step-pop @p139 :rule scope :premises (@p57)) % 34.86/35.04 (step @p58 :rule process_scope :premises (@p139) :args (@t57)) % 34.86/35.04 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 34.86/35.04 (step @p61 :rule implies_elim :premises (@p60)) % 34.86/35.04 (step @p62 :rule chain_m_resolution :premises (@p61 @p20) :args (@t56 @t40 @t41)) % 34.86/35.04 (step @p63 :rule instantiate :premises (@p62) :args (@t58)) % 34.86/35.04 (step @p64 :rule bool-impl-elim :args (@t6 @t5)) % 34.86/35.04 (step @p65 :rule cong :premises (@p64) :args (@t8)) % 34.86/35.04 (step @p66 :rule refl :args (@t9)) % 34.86/35.04 (step @p67 :rule cong :premises (@p66 @p65) :args (@t10)) % 34.86/35.04 (step @p68 :rule cong :premises (@p67) :args (@t11)) % 34.86/35.04 (step @p69 :rule eq_resolve :premises (@p2 @p68)) % 34.86/35.04 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t35 @t43))) % 34.86/35.04 (step @p71 :rule bool-impl-elim :args (@t9 @t26)) % 34.86/35.04 (step @p72 :rule cong :premises (@p71) :args (@t27)) % 34.86/35.04 (step @p73 :rule cong :premises (@p72) :args (@t28)) % 34.86/35.04 (step @p74 :rule eq_resolve :premises (@p7 @p73)) % 34.86/35.04 (step @p75 :rule skolemize :premises (@p74)) % 34.86/35.04 (step @p76 :rule cnf_or_neg :args (@t62 1)) % 34.86/35.04 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args ((not @t59) @t63 @t64)) % 34.86/35.04 (step @p78 :rule cnf_equiv_pos2 :args (@t65)) % 34.86/35.04 (step @p79 :rule reordering :premises (@p78) :args ((or @t59 @t66 (not @t65)))) % 34.86/35.04 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p70) :args (@t66 @t67 (@list @t59 @t65))) % 34.86/35.04 (step @p81 :rule skolemize :premises (@p80)) % 34.86/35.04 (step @p82 :rule cnf_or_neg :args (@t71 1)) % 34.86/35.04 (step @p83 :rule chain_m_resolution :premises (@p82 @p81) :args ((not @t68) @t63 @t72)) % 34.86/35.04 (step @p84 :rule bool-double-not-elim :args (@t73)) % 34.86/35.04 (step @p85 :rule refl :args (@t68)) % 34.86/35.04 (step @p86 :rule refl :args (@t76)) % 34.86/35.04 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args ((or @t76 @t68 (not @t74)))) % 34.86/35.04 (step @p88 :rule cnf_equiv_pos2 :args (@t75)) % 34.86/35.04 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 34.86/35.04 (step @p90 :rule reordering :premises (@p89) :args ((or @t68 @t73 @t76))) % 34.86/35.04 (step @p91 :rule chain_m_resolution :premises (@p90 @p83 @p63) :args (@t73 @t67 (@list @t68 @t75))) % 34.86/35.04 (step @p92 :rule instantiate :premises (@p91) :args (@t77)) % 34.86/35.04 (step @p93 :rule cnf_or_pos :args (@t80)) % 34.86/35.04 (step @p94 :rule reordering :premises (@p93) :args ((or @t53 @t79 (not @t80)))) % 34.86/35.04 (step @p95 :rule instantiate :premises (@p69) :args ((@list @t32 @t42))) % 34.86/35.04 (step @p96 :rule bool-double-not-elim :args (@t60)) % 34.86/35.04 (step @p97 :rule refl :args (@t62)) % 34.86/35.04 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t62 (not @t61)))) % 34.86/35.04 (step @p99 :rule cnf_or_neg :args (@t62 0)) % 34.86/35.04 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 34.86/35.04 (step @p101 :rule reordering :premises (@p100) :args ((or @t60 @t62))) % 34.86/35.04 (step @p102 :rule chain_m_resolution :premises (@p101 @p75) :args (@t60 @t63 @t64)) % 34.86/35.04 (step @p103 :rule cnf_equiv_pos1 :args (@t82)) % 34.86/35.04 (step @p104 :rule reordering :premises (@p103) :args ((or @t61 @t81 (not @t82)))) % 34.86/35.04 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p95) :args (@t81 @t83 (@list @t60 @t82))) % 34.86/35.04 (step @p106 :rule instantiate :premises (@p105) :args (@t77)) % 34.86/35.04 (step @p107 :rule cnf_or_pos :args (@t84)) % 34.86/35.04 (step @p108 :rule reordering :premises (@p107) :args ((or @t52 @t78 (not @t84)))) % 34.86/35.04 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p94 @p92 @p47 @p42) :args (@t54 (@list false true false false false) (@list @t84 @t78 @t80 @t51 @t50))) % 34.86/35.04 (step @p110 :rule refl :args (@t85)) % 34.86/35.04 (step @p111 :rule bool-double-not-elim :args (@t48)) % 34.86/35.04 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t86) @t85))) % 34.86/35.04 (assume-push @p140 @t86) % 34.86/35.04 (step @p114 :rule skolemize :premises (@p140)) % 34.86/35.04 (step-pop @p141 :rule scope :premises (@p114)) % 34.86/35.04 (step @p115 :rule process_scope :premises (@p141) :args (@t85)) % 34.86/35.04 (step @p117 :rule implies_elim :premises (@p115)) % 34.86/35.04 (step @p118 :rule eq_resolve :premises (@p117 @p112)) % 34.86/35.04 (step @p119 :rule chain_m_resolution :premises (@p118 @p109) :args (@t48 @t40 (@list @t54))) % 34.86/35.04 (step @p120 :rule bool-double-not-elim :args (@t69)) % 34.86/35.04 (step @p121 :rule refl :args (@t71)) % 34.86/35.04 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t71 (not @t70)))) % 34.86/35.04 (step @p123 :rule cnf_or_neg :args (@t71 0)) % 34.86/35.04 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 34.86/35.04 (step @p125 :rule reordering :premises (@p124) :args ((or @t69 @t71))) % 34.86/35.04 (step @p126 :rule chain_m_resolution :premises (@p125 @p81) :args (@t69 @t63 @t72)) % 34.86/35.04 (step @p127 :rule cnf_equiv_pos1 :args (@t87)) % 34.86/35.04 (step @p128 :rule reordering :premises (@p127) :args ((or @t70 @t86 @t88))) % 34.86/35.04 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p119) :args (@t88 @t83 (@list @t69 @t48))) % 34.86/35.04 (assume-push @p142 @t37) % 34.86/35.04 (step @p131 :rule instantiate :premises (@p36) :args (@t58)) % 34.86/35.04 (step-pop @p143 :rule scope :premises (@p131)) % 34.86/35.04 (step @p132 :rule process_scope :premises (@p143) :args (@t87)) % 34.86/35.04 (step @p134 :rule implies_elim :premises (@p132)) % 34.86/35.04 (step @p135 false :rule chain_m_resolution :premises (@p134 @p129 @p36) :args (false @t67 (@list @t87 @t37))) % 34.86/35.04 ) % 34.86/35.04 % SZS output end Proof % 34.86/35.04 % cvc5 exiting %------------------------------------------------------------------------------