%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU132+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 : n011.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 08:50:39 AM UTC 2026 % Result : Theorem 16.52s 16.77s % Output : Proof 16.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU132+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 % 0.17/0.34 % Computer : n011.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 16:31:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.52/16.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.52/16.77 --- Run --no-e-matching --full-saturate-quant at 6... % 16.52/16.77 % SZS status Theorem % 16.52/16.77 % SZS output start Proof % 16.52/16.77 ( % 16.52/16.77 (declare-sort $$unsorted 0) % 16.52/16.77 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.52/16.77 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 16.52/16.77 (declare-const tptp.empty_set $$unsorted) % 16.52/16.77 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.52/16.77 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.52/16.77 (define @t1 () (@var "A" $$unsorted)) % 16.52/16.77 (define @t2 () (@var "B" $$unsorted)) % 16.52/16.77 (define @t3 () (tptp.in @t1 @t2)) % 16.52/16.77 (define @t4 () (@list @t1 @t2)) % 16.52/16.77 (define @t5 () (@var "C" $$unsorted)) % 16.52/16.77 (define @t6 () (tptp.in @t5 @t2)) % 16.52/16.77 (define @t7 () (tptp.in @t5 @t1)) % 16.52/16.77 (define @t8 () (@list @t5)) % 16.52/16.77 (define @t9 () (forall @t8 (=> @t7 @t6))) % 16.52/16.77 (define @t10 () (tptp.subset @t1 @t2)) % 16.52/16.77 (define @t11 () (= @t10 @t9)) % 16.52/16.77 (define @t12 () (forall @t4 @t11)) % 16.52/16.77 (define @t13 () (@var "D" $$unsorted)) % 16.52/16.77 (define @t14 () (@list @t13)) % 16.52/16.77 (define @t15 () (@list @t1 @t2 @t5)) % 16.52/16.77 (define @t16 () (forall @t15 (= (= @t5 (tptp.set_difference @t1 @t2)) (forall @t14 (= (tptp.in @t13 @t5) (and (tptp.in @t13 @t1) (not (tptp.in @t13 @t2)))))))) % 16.52/16.77 (define @t17 () (tptp.empty @t1)) % 16.52/16.77 (define @t18 () (@list @t1)) % 16.52/16.77 (define @t19 () (tptp.subset (tptp.set_difference @t1 @t5) (tptp.set_difference @t2 @t5))) % 16.52/16.77 (define @t20 () (forall @t15 (=> @t10 @t19))) % 16.52/16.77 (define @t21 () (not @t20)) % 16.52/16.77 (define @t22 () (tptp.empty @t2)) % 16.52/16.77 (define @t23 () (forall @t15 (or (not @t10) @t19))) % 16.52/16.77 (define @t24 () (@quantifiers_skolemize @t23 2)) % 16.52/16.77 (define @t25 () (@quantifiers_skolemize @t23 1)) % 16.52/16.77 (define @t26 () (tptp.set_difference @t25 @t24)) % 16.52/16.77 (define @t27 () (tptp.in @t13 @t26)) % 16.52/16.77 (define @t28 () (not (tptp.in @t13 @t24))) % 16.52/16.77 (define @t29 () (and (tptp.in @t13 @t25) @t28)) % 16.52/16.77 (define @t30 () (forall @t14 (= @t29 @t27))) % 16.52/16.77 (define @t31 () (forall @t14 (= @t27 @t29))) % 16.52/16.77 (define @t32 () (= (= @t26 @t26) @t31)) % 16.52/16.77 (define @t33 () (@list false)) % 16.52/16.77 (define @t34 () (@list @t16)) % 16.52/16.77 (define @t35 () (@quantifiers_skolemize @t23 0)) % 16.52/16.77 (define @t36 () (tptp.set_difference @t35 @t24)) % 16.52/16.77 (define @t37 () (forall @t8 (or (not (tptp.in @t5 @t36)) (tptp.in @t5 @t26)))) % 16.52/16.77 (define @t38 () (@quantifiers_skolemize @t37 0)) % 16.52/16.77 (define @t39 () (tptp.in @t38 @t24)) % 16.52/16.77 (define @t40 () (not @t39)) % 16.52/16.77 (define @t41 () (tptp.in @t38 @t25)) % 16.52/16.77 (define @t42 () (and @t41 @t40)) % 16.52/16.77 (define @t43 () (tptp.in @t38 @t26)) % 16.52/16.77 (define @t44 () (= @t42 @t43)) % 16.52/16.77 (define @t45 () (@list @t38)) % 16.52/16.77 (define @t46 () (= @t43 @t42)) % 16.52/16.77 (define @t47 () (tptp.subset @t36 @t26)) % 16.52/16.77 (define @t48 () (tptp.subset @t35 @t25)) % 16.52/16.77 (define @t49 () (not @t48)) % 16.52/16.77 (define @t50 () (or @t49 @t47)) % 16.52/16.77 (define @t51 () (@list true)) % 16.52/16.77 (define @t52 () (@list @t50)) % 16.52/16.77 (define @t53 () (= @t47 @t37)) % 16.52/16.77 (define @t54 () (not @t37)) % 16.52/16.77 (define @t55 () (@list true false)) % 16.52/16.77 (define @t56 () (tptp.in @t38 @t36)) % 16.52/16.77 (define @t57 () (not @t56)) % 16.52/16.77 (define @t58 () (or @t57 @t43)) % 16.52/16.77 (define @t59 () (@list @t58)) % 16.52/16.77 (define @t60 () (not @t42)) % 16.52/16.77 (define @t61 () (forall @t14 (= (tptp.in @t13 @t36) (and (tptp.in @t13 @t35) @t28)))) % 16.52/16.77 (define @t62 () (= (= @t36 @t36) @t61)) % 16.52/16.77 (define @t63 () (tptp.in @t38 @t35)) % 16.52/16.77 (define @t64 () (and @t63 @t40)) % 16.52/16.77 (define @t65 () (= @t56 @t64)) % 16.52/16.77 (define @t66 () (@list false false)) % 16.52/16.77 (define @t67 () (not @t64)) % 16.52/16.77 (define @t68 () (@list @t64)) % 16.52/16.77 (define @t69 () (forall @t8 (or (not (tptp.in @t5 @t35)) (tptp.in @t5 @t25)))) % 16.52/16.77 (define @t70 () (= @t48 @t69)) % 16.52/16.77 (define @t71 () (not @t63)) % 16.52/16.77 (define @t72 () (or @t71 @t41)) % 16.52/16.77 (define @t73 () (not @t41)) % 16.52/16.77 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 16.52/16.77 (assume @p2 @t12) % 16.52/16.77 (assume @p3 @t16) % 16.52/16.77 (assume @p4 true) % 16.52/16.77 (assume @p5 (tptp.empty tptp.empty_set)) % 16.52/16.77 (assume @p6 (exists @t18 @t17)) % 16.52/16.77 (assume @p7 (exists @t18 (not @t17))) % 16.52/16.77 (assume @p8 (forall @t4 (tptp.subset @t1 @t1))) % 16.52/16.77 (assume @p9 @t21) % 16.52/16.77 (assume @p10 (forall @t18 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 16.52/16.77 (assume @p11 (forall @t18 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 16.52/16.77 (assume @p12 (forall @t18 (=> @t17 (= @t1 tptp.empty_set)))) % 16.52/16.77 (assume @p13 (forall @t4 (not (and @t3 @t22)))) % 16.52/16.77 (assume @p14 (forall @t4 (not (and @t17 (not (= @t1 @t2)) @t22)))) % 16.52/16.77 (step @p15 :rule bool-eq-true :args (@t30)) % 16.52/16.77 (step @p16 :rule eq-symm :args (true @t30)) % 16.52/16.77 (step @p17 :rule trans :premises (@p16 @p15)) % 16.52/16.77 (step @p18 :rule eq-symm :args (@t27 @t29)) % 16.52/16.77 (step @p19 :rule cong :premises (@p18) :args (@t31)) % 16.52/16.77 (step @p20 :rule eq-refl :args (@t26)) % 16.52/16.77 (step @p21 :rule cong :premises (@p20 @p19) :args (@t32)) % 16.52/16.77 (step @p22 :rule trans :premises (@p21 @p17)) % 16.52/16.77 (step @p23 :rule refl :args (@t16)) % 16.52/16.77 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t16 @t32))) % 16.52/16.77 (assume-push @p120 @t16) % 16.52/16.77 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t25 @t24 @t26))) % 16.52/16.77 (step-pop @p121 :rule scope :premises (@p26)) % 16.52/16.77 (step @p27 :rule process_scope :premises (@p121) :args (@t32)) % 16.52/16.77 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 16.52/16.77 (step @p30 :rule implies_elim :premises (@p29)) % 16.52/16.77 (step @p31 :rule chain_m_resolution :premises (@p30 @p3) :args (@t30 @t33 @t34)) % 16.52/16.77 (step @p32 :rule eq-symm :args (@t42 @t43)) % 16.52/16.77 (step @p33 :rule refl :args (@t30)) % 16.52/16.77 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t30 @t44))) % 16.52/16.77 (assume-push @p122 @t30) % 16.52/16.77 (step @p36 :rule instantiate :premises (@p31) :args (@t45)) % 16.52/16.77 (step-pop @p123 :rule scope :premises (@p36)) % 16.52/16.77 (step @p37 :rule process_scope :premises (@p123) :args (@t44)) % 16.52/16.77 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 16.52/16.77 (step @p40 :rule implies_elim :premises (@p39)) % 16.52/16.77 (step @p41 :rule chain_m_resolution :premises (@p40 @p31) :args (@t46 @t33 (@list @t30))) % 16.52/16.77 (step @p42 :rule bool-impl-elim :args (@t7 @t6)) % 16.52/16.77 (step @p43 :rule cong :premises (@p42) :args (@t9)) % 16.52/16.77 (step @p44 :rule refl :args (@t10)) % 16.52/16.77 (step @p45 :rule cong :premises (@p44 @p43) :args (@t11)) % 16.52/16.77 (step @p46 :rule cong :premises (@p45) :args (@t12)) % 16.52/16.77 (step @p47 :rule eq_resolve :premises (@p2 @p46)) % 16.52/16.77 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t36 @t26))) % 16.52/16.77 (step @p49 :rule bool-impl-elim :args (@t10 @t19)) % 16.52/16.77 (step @p50 :rule cong :premises (@p49) :args (@t20)) % 16.52/16.77 (step @p51 :rule cong :premises (@p50) :args (@t21)) % 16.52/16.77 (step @p52 :rule eq_resolve :premises (@p9 @p51)) % 16.52/16.77 (step @p53 :rule skolemize :premises (@p52)) % 16.52/16.77 (step @p54 :rule cnf_or_neg :args (@t50 1)) % 16.52/16.77 (step @p55 :rule chain_m_resolution :premises (@p54 @p53) :args ((not @t47) @t51 @t52)) % 16.52/16.77 (step @p56 :rule cnf_equiv_pos2 :args (@t53)) % 16.52/16.77 (step @p57 :rule reordering :premises (@p56) :args ((or @t47 @t54 (not @t53)))) % 16.52/16.77 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p48) :args (@t54 @t55 (@list @t47 @t53))) % 16.52/16.77 (step @p59 :rule skolemize :premises (@p58)) % 16.52/16.77 (step @p60 :rule cnf_or_neg :args (@t58 1)) % 16.52/16.77 (step @p61 :rule chain_m_resolution :premises (@p60 @p59) :args ((not @t43) @t51 @t59)) % 16.52/16.77 (step @p62 :rule cnf_equiv_pos2 :args (@t46)) % 16.52/16.77 (step @p63 :rule reordering :premises (@p62) :args ((or @t43 @t60 (not @t46)))) % 16.52/16.77 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p41) :args (@t60 @t55 (@list @t43 @t46))) % 16.52/16.77 (step @p65 :rule bool-eq-true :args (@t61)) % 16.52/16.77 (step @p66 :rule eq-symm :args (true @t61)) % 16.52/16.77 (step @p67 :rule trans :premises (@p66 @p65)) % 16.52/16.77 (step @p68 :rule refl :args (@t61)) % 16.52/16.77 (step @p69 :rule eq-refl :args (@t36)) % 16.52/16.77 (step @p70 :rule cong :premises (@p69 @p68) :args (@t62)) % 16.52/16.77 (step @p71 :rule trans :premises (@p70 @p67)) % 16.52/16.77 (step @p72 :rule cong :premises (@p23 @p71) :args ((=> @t16 @t62))) % 16.52/16.77 (assume-push @p124 @t16) % 16.52/16.77 (step @p74 :rule instantiate :premises (@p3) :args ((@list @t35 @t24 @t36))) % 16.52/16.77 (step-pop @p125 :rule scope :premises (@p74)) % 16.52/16.77 (step @p75 :rule process_scope :premises (@p125) :args (@t62)) % 16.52/16.77 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 16.52/16.77 (step @p78 :rule implies_elim :premises (@p77)) % 16.52/16.77 (step @p79 :rule chain_m_resolution :premises (@p78 @p3) :args (@t61 @t33 @t34)) % 16.52/16.77 (step @p80 :rule instantiate :premises (@p79) :args (@t45)) % 16.52/16.77 (step @p81 :rule bool-double-not-elim :args (@t56)) % 16.52/16.77 (step @p82 :rule refl :args (@t58)) % 16.52/16.77 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t58 (not @t57)))) % 16.52/16.77 (step @p84 :rule cnf_or_neg :args (@t58 0)) % 16.52/16.77 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 16.52/16.77 (step @p86 :rule reordering :premises (@p85) :args ((or @t56 @t58))) % 16.52/16.77 (step @p87 :rule chain_m_resolution :premises (@p86 @p59) :args (@t56 @t51 @t59)) % 16.52/16.77 (step @p88 :rule cnf_equiv_pos1 :args (@t65)) % 16.52/16.77 (step @p89 :rule reordering :premises (@p88) :args ((or @t57 @t64 (not @t65)))) % 16.52/16.77 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p80) :args (@t64 @t66 (@list @t56 @t65))) % 16.52/16.77 (step @p91 :rule cnf_and_pos :args (@t64 1)) % 16.52/16.77 (step @p92 :rule reordering :premises (@p91) :args ((or @t40 @t67))) % 16.52/16.77 (step @p93 :rule chain_m_resolution :premises (@p92 @p90) :args (@t40 @t33 @t68)) % 16.52/16.77 (step @p94 :rule instantiate :premises (@p47) :args ((@list @t35 @t25))) % 16.52/16.77 (step @p95 :rule bool-double-not-elim :args (@t48)) % 16.52/16.77 (step @p96 :rule refl :args (@t50)) % 16.52/16.77 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t50 (not @t49)))) % 16.52/16.77 (step @p98 :rule cnf_or_neg :args (@t50 0)) % 16.52/16.77 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 16.52/16.77 (step @p100 :rule reordering :premises (@p99) :args ((or @t48 @t50))) % 16.52/16.77 (step @p101 :rule chain_m_resolution :premises (@p100 @p53) :args (@t48 @t51 @t52)) % 16.52/16.77 (step @p102 :rule cnf_equiv_pos1 :args (@t70)) % 16.52/16.77 (step @p103 :rule reordering :premises (@p102) :args ((or @t49 @t69 (not @t70)))) % 16.52/16.77 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p94) :args (@t69 @t66 (@list @t48 @t70))) % 16.52/16.77 (step @p105 :rule instantiate :premises (@p104) :args (@t45)) % 16.52/16.77 (step @p106 :rule cnf_and_pos :args (@t64 0)) % 16.52/16.77 (step @p107 :rule reordering :premises (@p106) :args ((or @t63 @t67))) % 16.52/16.77 (step @p108 :rule chain_m_resolution :premises (@p107 @p90) :args (@t63 @t33 @t68)) % 16.52/16.77 (step @p109 :rule cnf_or_pos :args (@t72)) % 16.52/16.77 (step @p110 :rule reordering :premises (@p109) :args ((or @t41 @t71 (not @t72)))) % 16.52/16.77 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p105) :args (@t41 @t66 (@list @t63 @t72))) % 16.52/16.77 (step @p112 :rule bool-double-not-elim :args (@t39)) % 16.52/16.77 (step @p113 :rule refl :args (@t73)) % 16.52/16.77 (step @p114 :rule refl :args (@t42)) % 16.52/16.77 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args ((or @t42 @t73 (not @t40)))) % 16.52/16.77 (step @p116 :rule cnf_and_neg :args (@t42)) % 16.52/16.77 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 16.52/16.77 (step @p118 :rule reordering :premises (@p117) :args ((or @t39 @t42 @t73))) % 16.52/16.77 (step @p119 false :rule chain_m_resolution :premises (@p118 @p111 @p93 @p64) :args (false (@list false true true) (@list @t41 @t39 @t42))) % 16.52/16.77 ) % 16.52/16.77 % SZS output end Proof % 16.52/16.77 % cvc5 exiting %------------------------------------------------------------------------------