%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU663^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:52:38 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU663^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 17:45:54 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.cartprodmempaircEq Bool) % 0.36/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.ksndpairEq Bool) % 0.36/0.57 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.36/0.57 (define @t3 () (_ (_ tptp.kpair @t2) @t1)) % 0.36/0.57 (define @t4 () (_ tptp.ksnd @t3)) % 0.36/0.57 (define @t5 () (= @t4 @t1)) % 0.36/0.57 (define @t6 () (@list @t2 @t1)) % 0.36/0.57 (define @t7 () (forall @t6 @t5)) % 0.36/0.57 (define @t8 () (= tptp.ksndpairEq @t7)) % 0.36/0.57 (define @t9 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t10 () (_ (_ tptp.in @t1) @t9)) % 0.36/0.57 (define @t11 () (=> @t10 (= @t3 @t3))) % 0.36/0.57 (define @t12 () (@list @t1)) % 0.36/0.57 (define @t13 () (forall @t12 @t11)) % 0.36/0.57 (define @t14 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t15 () (_ (_ tptp.in @t2) @t14)) % 0.36/0.57 (define @t16 () (=> @t15 @t13)) % 0.36/0.57 (define @t17 () (@list @t14 @t9 @t2)) % 0.36/0.57 (define @t18 () (forall @t17 @t16)) % 0.36/0.57 (define @t19 () (= tptp.cartprodmempaircEq @t18)) % 0.36/0.57 (define @t20 () (=> @t10 @t5)) % 0.36/0.57 (define @t21 () (forall @t12 @t20)) % 0.36/0.57 (define @t22 () (=> @t15 @t21)) % 0.36/0.57 (define @t23 () (forall @t17 @t22)) % 0.36/0.57 (define @t24 () (=> tptp.cartprodmempaircEq @t23)) % 0.36/0.57 (define @t25 () (=> tptp.ksndpairEq @t24)) % 0.36/0.57 (define @t26 () (not @t25)) % 0.36/0.57 (define @t27 () (@var "BOUND_VARIABLE_7478" $$unsorted)) % 0.36/0.57 (define @t28 () (= @t27 (tptp.ksnd (tptp.kpair @t2 @t27)))) % 0.36/0.57 (define @t29 () (not (tptp.in @t27 @t9))) % 0.36/0.57 (define @t30 () (tptp.in @t2 @t14)) % 0.36/0.57 (define @t31 () (not @t30)) % 0.36/0.57 (define @t32 () (or @t31 @t29 @t28)) % 0.36/0.57 (define @t33 () (@list @t14 @t9 @t2 @t27)) % 0.36/0.57 (define @t34 () (forall @t33 @t32)) % 0.36/0.57 (define @t35 () (tptp.kpair @t2 @t1)) % 0.36/0.57 (define @t36 () (tptp.ksnd @t35)) % 0.36/0.57 (define @t37 () (= @t1 @t36)) % 0.36/0.57 (define @t38 () (forall @t6 @t37)) % 0.36/0.57 (define @t39 () (=> @t38 (=> true @t34))) % 0.36/0.57 (define @t40 () (=> tptp.cartprodmempaircEq @t34)) % 0.36/0.57 (define @t41 () (= @t1 @t4)) % 0.36/0.57 (define @t42 () (=> tptp.ksndpairEq @t40)) % 0.36/0.57 (define @t43 () (or @t29 @t28)) % 0.36/0.57 (define @t44 () (or @t31 @t43)) % 0.36/0.57 (define @t45 () (forall @t33 @t44)) % 0.36/0.57 (define @t46 () (@list @t27)) % 0.36/0.57 (define @t47 () (forall @t46 @t44)) % 0.36/0.57 (define @t48 () (forall @t46 @t43)) % 0.36/0.57 (define @t49 () (or @t31 @t48)) % 0.36/0.57 (define @t50 () (tptp.in @t1 @t9)) % 0.36/0.57 (define @t51 () (forall @t12 (or (not @t50) @t37))) % 0.36/0.57 (define @t52 () (not @t15)) % 0.36/0.57 (define @t53 () (or @t52 @t51)) % 0.36/0.57 (define @t54 () (not @t10)) % 0.36/0.57 (define @t55 () (or @t54 @t41)) % 0.36/0.57 (define @t56 () (@quantifiers_skolemize @t34 3)) % 0.36/0.57 (define @t57 () (@quantifiers_skolemize @t34 2)) % 0.36/0.57 (define @t58 () (= @t56 (tptp.ksnd (tptp.kpair @t57 @t56)))) % 0.36/0.57 (define @t59 () (or (not (tptp.in @t57 (@quantifiers_skolemize @t34 0))) (not (tptp.in @t56 (@quantifiers_skolemize @t34 1))) @t58)) % 0.36/0.57 (assume @p1 @t8) % 0.36/0.57 (assume @p2 @t19) % 0.36/0.57 (assume @p3 @t26) % 0.36/0.57 (assume @p4 true) % 0.36/0.57 (step @p5 :rule bool-impl-true2 :args (@t34)) % 0.36/0.57 (step @p6 :rule refl :args (@t38)) % 0.36/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args (@t39)) % 0.36/0.57 (step @p8 :rule cong :premises (@p7) :args ((not @t39))) % 0.36/0.58 (step @p9 :rule refl :args (@t34)) % 0.36/0.58 (step @p10 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 0.36/0.58 (step @p11 :rule symm :premises (@p10)) % 0.36/0.58 (step @p12 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.36/0.58 (step @p13 :rule bool-impl-true1 :args (@t15)) % 0.36/0.58 (step @p14 :rule quant-unused-vars :args ((= (forall @t12 true) true))) % 0.36/0.58 (step @p15 :rule bool-impl-true1 :args (@t10)) % 0.36/0.58 (step @p16 :rule eq-refl :args (@t3)) % 0.36/0.58 (step @p17 :rule refl :args (@t10)) % 0.36/0.58 (step @p18 :rule cong :premises (@p17 @p16) :args (@t11)) % 0.36/0.58 (step @p19 :rule trans :premises (@p18 @p15)) % 0.36/0.58 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 0.36/0.58 (step @p21 :rule trans :premises (@p20 @p14)) % 0.36/0.58 (step @p22 :rule refl :args (@t15)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22 @p21) :args (@t16)) % 0.36/0.58 (step @p24 :rule trans :premises (@p23 @p13)) % 0.36/0.58 (step @p25 :rule cong :premises (@p24) :args (@t18)) % 0.36/0.58 (step @p26 :rule trans :premises (@p25 @p12)) % 0.36/0.58 (step @p27 :rule refl :args (tptp.cartprodmempaircEq)) % 0.36/0.58 (step @p28 :rule cong :premises (@p27 @p26) :args (@t19)) % 0.36/0.58 (step @p29 :rule trans :premises (@p28 @p10)) % 0.36/0.58 (step @p30 :rule eq_resolve :premises (@p2 @p29)) % 0.36/0.58 (step @p31 :rule eq_resolve :premises (@p30 @p11)) % 0.36/0.58 (step @p32 :rule cong :premises (@p31 @p9) :args (@t40)) % 0.36/0.58 (step @p33 :rule refl :args ((tptp.ksnd @t3))) % 0.36/0.58 (step @p34 :rule refl :args (@t35)) % 0.36/0.58 (step @p35 :rule cong :premises (@p34) :args (@t36)) % 0.36/0.58 (step @p36 :rule trans :premises (@p35 @p33)) % 0.36/0.58 (step @p37 :rule refl :args (tptp.ksnd)) % 0.36/0.58 (step @p38 :rule ho_cong :premises (@p37 @p34)) % 0.36/0.58 (step @p39 :rule cong :premises (@p38 @p36) :args ((= (_ tptp.ksnd @t35) @t36))) % 0.36/0.58 (step @p40 :rule symm :premises (@p39)) % 0.36/0.58 (step @p41 :rule refl :args (@t4)) % 0.36/0.58 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.36/0.58 (step @p43 :rule refl :args (@t3)) % 0.36/0.58 (step @p44 :rule cong :premises (@p43 @p34) :args ((= @t3 @t35))) % 0.36/0.58 (step @p45 :rule symm :premises (@p44)) % 0.36/0.58 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.36/0.58 (step @p47 :rule ho_cong :premises (@p37 @p46)) % 0.36/0.58 (step @p48 :rule trans :premises (@p47 @p42)) % 0.36/0.58 (step @p49 :rule refl :args (@t1)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49 @p48) :args (@t41)) % 0.36/0.58 (step @p51 :rule cong :premises (@p50) :args ((forall @t6 @t41))) % 0.36/0.58 (step @p52 :rule eq-symm :args (@t4 @t1)) % 0.36/0.58 (step @p53 :rule cong :premises (@p52) :args (@t7)) % 0.36/0.58 (step @p54 :rule trans :premises (@p53 @p51)) % 0.36/0.58 (step @p55 :rule refl :args (tptp.ksndpairEq)) % 0.36/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args (@t8)) % 0.36/0.58 (step @p57 :rule eq_resolve :premises (@p1 @p56)) % 0.36/0.58 (step @p58 :rule cong :premises (@p57 @p32) :args (@t42)) % 0.36/0.58 (step @p59 :rule cong :premises (@p58) :args ((not @t42))) % 0.36/0.58 (step @p60 :rule trans :premises (@p59 @p8)) % 0.36/0.58 (step @p61 :rule aci_norm :args ((= @t44 @t32))) % 0.36/0.58 (step @p62 :rule cong :premises (@p61) :args (@t45)) % 0.36/0.58 (step @p63 :rule quant-merge-prenex :args ((= (forall @t17 @t47) @t45))) % 0.36/0.58 (step @p64 :rule alpha_equiv :args (@t48 (@list @t27) (@list @t1))) % 0.36/0.58 (step @p65 :rule refl :args (@t31)) % 0.36/0.58 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t49)) % 0.36/0.58 (step @p67 :rule quant-miniscope-or :args ((= @t47 @t49))) % 0.36/0.58 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.58 (step @p69 :rule symm :premises (@p68)) % 0.36/0.58 (step @p70 :rule cong :premises (@p69) :args ((forall @t17 (or @t31 @t51)))) % 0.36/0.58 (step @p71 :rule trans :premises (@p70 @p63)) % 0.36/0.58 (step @p72 :rule trans :premises (@p71 @p62)) % 0.36/0.58 (step @p73 :rule refl :args (@t51)) % 0.36/0.58 (step @p74 :rule refl :args (@t30)) % 0.36/0.58 (step @p75 :rule refl :args (@t15)) % 0.36/0.58 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t15 @t30))) % 0.36/0.58 (step @p77 :rule symm :premises (@p76)) % 0.36/0.58 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.36/0.58 (step @p79 :rule cong :premises (@p78) :args (@t52)) % 0.36/0.58 (step @p80 :rule nary_cong :premises (@p79 @p73) :args (@t53)) % 0.36/0.58 (step @p81 :rule cong :premises (@p80) :args ((forall @t17 @t53))) % 0.36/0.58 (step @p82 :rule trans :premises (@p81 @p72)) % 0.36/0.58 (step @p83 :rule bool-impl-elim :args (@t15 @t51)) % 0.36/0.58 (step @p84 :rule cong :premises (@p83) :args ((forall @t17 (=> @t15 @t51)))) % 0.36/0.58 (step @p85 :rule trans :premises (@p84 @p82)) % 0.36/0.58 (step @p86 :rule refl :args (@t50)) % 0.36/0.58 (step @p87 :rule refl :args (@t10)) % 0.36/0.58 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t10 @t50))) % 0.36/0.58 (step @p89 :rule symm :premises (@p88)) % 0.36/0.58 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.36/0.58 (step @p91 :rule cong :premises (@p90) :args (@t54)) % 0.36/0.58 (step @p92 :rule nary_cong :premises (@p91 @p50) :args (@t55)) % 0.36/0.58 (step @p93 :rule cong :premises (@p92) :args ((forall @t12 @t55))) % 0.36/0.58 (step @p94 :rule bool-impl-elim :args (@t10 @t41)) % 0.36/0.58 (step @p95 :rule cong :premises (@p94) :args ((forall @t12 (=> @t10 @t41)))) % 0.36/0.58 (step @p96 :rule trans :premises (@p95 @p93)) % 0.36/0.58 (step @p97 :rule cong :premises (@p17 @p52) :args (@t20)) % 0.36/0.58 (step @p98 :rule cong :premises (@p97) :args (@t21)) % 0.36/0.58 (step @p99 :rule trans :premises (@p98 @p96)) % 0.36/0.58 (step @p100 :rule cong :premises (@p22 @p99) :args (@t22)) % 0.36/0.58 (step @p101 :rule cong :premises (@p100) :args (@t23)) % 0.36/0.58 (step @p102 :rule trans :premises (@p101 @p85)) % 0.36/0.58 (step @p103 :rule cong :premises (@p27 @p102) :args (@t24)) % 0.36/0.58 (step @p104 :rule cong :premises (@p55 @p103) :args (@t25)) % 0.36/0.58 (step @p105 :rule cong :premises (@p104) :args (@t26)) % 0.36/0.58 (step @p106 :rule trans :premises (@p105 @p60)) % 0.36/0.58 (step @p107 :rule eq_resolve :premises (@p3 @p106)) % 0.36/0.58 (step @p108 :rule not_implies_elim1 :premises (@p107)) % 0.36/0.58 (step @p109 :rule not_implies_elim2 :premises (@p107)) % 0.36/0.58 (step @p110 :rule skolemize :premises (@p109)) % 0.36/0.58 (step @p111 :rule cnf_or_neg :args (@t59 2)) % 0.36/0.58 (step @p112 :rule chain_m_resolution :premises (@p111 @p110) :args ((not @t58) (@list true) (@list @t59))) % 0.36/0.58 (assume-push @p119 @t38) % 0.36/0.58 (step @p114 :rule instantiate :premises (@p108) :args ((@list @t57 @t56))) % 0.36/0.58 (step-pop @p120 :rule scope :premises (@p114)) % 0.36/0.58 (step @p115 :rule process_scope :premises (@p120) :args (@t58)) % 0.36/0.58 (step @p117 :rule implies_elim :premises (@p115)) % 0.36/0.58 (step @p118 false :rule chain_m_resolution :premises (@p117 @p112 @p108) :args (false (@list true false) (@list @t58 @t38))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------