%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET593^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:48:08 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET593^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n003.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 16:03:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort tptp.a 0) % 0.32/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.32/0.57 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.32/0.57 (define @t3 () (_ @t2 @t1)) % 0.32/0.57 (define @t4 () (@var "Z" (-> tptp.a Bool))) % 0.32/0.57 (define @t5 () (_ @t4 @t1)) % 0.32/0.57 (define @t6 () (not @t5)) % 0.32/0.57 (define @t7 () (@var "X" (-> tptp.a Bool))) % 0.32/0.57 (define @t8 () (_ @t7 @t1)) % 0.32/0.57 (define @t9 () (and @t8 @t6)) % 0.32/0.57 (define @t10 () (@list @t1)) % 0.32/0.57 (define @t11 () (forall @t10 (=> @t9 @t3))) % 0.32/0.57 (define @t12 () (not @t3)) % 0.32/0.57 (define @t13 () (and @t8 @t12)) % 0.32/0.57 (define @t14 () (forall @t10 (=> @t13 @t5))) % 0.32/0.57 (define @t15 () (and @t14 @t11)) % 0.32/0.57 (define @t16 () (or @t3 @t5)) % 0.32/0.57 (define @t17 () (forall @t10 (=> @t8 @t16))) % 0.32/0.57 (define @t18 () (=> @t17 @t15)) % 0.32/0.57 (define @t19 () (@list @t7 @t2 @t4)) % 0.32/0.57 (define @t20 () (forall @t19 @t18)) % 0.32/0.57 (define @t21 () (not @t20)) % 0.32/0.57 (define @t22 () (@var "BOUND_VARIABLE_7462" tptp.a)) % 0.32/0.57 (define @t23 () (or (not (_ @t7 @t22)) (_ @t4 @t22) (_ @t2 @t22))) % 0.32/0.57 (define @t24 () (@var "BOUND_VARIABLE_7455" tptp.a)) % 0.32/0.57 (define @t25 () (or (not (_ @t7 @t24)) (_ @t2 @t24) (_ @t4 @t24))) % 0.32/0.57 (define @t26 () (and @t25 @t23)) % 0.32/0.57 (define @t27 () (_ @t4 @t1)) % 0.32/0.57 (define @t28 () (_ @t2 @t1)) % 0.32/0.57 (define @t29 () (_ @t7 @t1)) % 0.32/0.57 (define @t30 () (not @t29)) % 0.32/0.57 (define @t31 () (forall @t10 (or @t30 @t28 @t27))) % 0.32/0.57 (define @t32 () (not @t31)) % 0.32/0.57 (define @t33 () (or @t32 @t26)) % 0.32/0.57 (define @t34 () (forall (@list @t7 @t2 @t4 @t24 @t22) @t33)) % 0.32/0.57 (define @t35 () (@list @t24 @t22)) % 0.32/0.57 (define @t36 () (forall @t35 @t33)) % 0.32/0.57 (define @t37 () (forall (@list @t22) @t23)) % 0.32/0.57 (define @t38 () (@list @t1)) % 0.32/0.57 (define @t39 () (forall @t35 @t23)) % 0.32/0.57 (define @t40 () (forall (@list @t24) @t25)) % 0.32/0.57 (define @t41 () (forall @t35 @t25)) % 0.32/0.57 (define @t42 () (and @t41 @t39)) % 0.32/0.57 (define @t43 () (forall @t35 @t26)) % 0.32/0.57 (define @t44 () (or @t32 @t43)) % 0.32/0.57 (define @t45 () (and @t31 (forall @t10 (or @t30 @t27 @t28)))) % 0.32/0.57 (define @t46 () (not @t8)) % 0.32/0.57 (define @t47 () (or @t46 @t5 @t3)) % 0.32/0.57 (define @t48 () (or @t46 @t3 @t5)) % 0.32/0.57 (define @t49 () (@quantifiers_skolemize @t34 2)) % 0.32/0.57 (define @t50 () (@quantifiers_skolemize @t34 1)) % 0.32/0.57 (define @t51 () (@quantifiers_skolemize @t34 0)) % 0.32/0.57 (define @t52 () (forall @t10 (or (not (_ @t51 @t1)) (_ @t50 @t1) (_ @t49 @t1)))) % 0.32/0.57 (define @t53 () (@quantifiers_skolemize @t34 4)) % 0.32/0.57 (define @t54 () (_ @t50 @t53)) % 0.32/0.57 (define @t55 () (_ @t49 @t53)) % 0.32/0.57 (define @t56 () (_ @t51 @t53)) % 0.32/0.57 (define @t57 () (not @t56)) % 0.32/0.57 (define @t58 () (or @t57 @t55 @t54)) % 0.32/0.57 (define @t59 () (@quantifiers_skolemize @t34 3)) % 0.32/0.57 (define @t60 () (or (not (_ @t51 @t59)) (_ @t50 @t59) (_ @t49 @t59))) % 0.32/0.57 (define @t61 () (and @t60 @t58)) % 0.32/0.57 (define @t62 () (not @t52)) % 0.32/0.57 (define @t63 () (or @t62 @t61)) % 0.32/0.57 (define @t64 () (@list true)) % 0.32/0.57 (define @t65 () (@list @t63)) % 0.32/0.57 (define @t66 () (@list true false)) % 0.32/0.57 (define @t67 () (@list @t58)) % 0.32/0.57 (define @t68 () (or @t57 @t54 @t55)) % 0.32/0.57 (define @t69 () (not @t68)) % 0.32/0.57 (assume @p1 @t21) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 :rule quant-merge-prenex :args ((= (forall @t19 @t36) @t34))) % 0.32/0.57 (step @p4 :rule alpha_equiv :args (@t37 (@list @t22) @t38)) % 0.32/0.57 (step @p5 :rule quant-unused-vars :args ((= @t39 @t37))) % 0.32/0.57 (step @p6 :rule trans :premises (@p5 @p4)) % 0.32/0.57 (step @p7 :rule alpha_equiv :args (@t40 (@list @t24) @t38)) % 0.32/0.57 (step @p8 :rule quant-unused-vars :args ((= @t41 @t40))) % 0.32/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.32/0.57 (step @p10 :rule nary_cong :premises (@p9 @p6) :args (@t42)) % 0.32/0.57 (step @p11 :rule quant-miniscope-and :args ((= @t43 @t42))) % 0.32/0.57 (step @p12 :rule trans :premises (@p11 @p10)) % 0.32/0.57 (step @p13 :rule refl :args (@t32)) % 0.32/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t44)) % 0.32/0.57 (step @p15 :rule quant-miniscope-or :args ((= @t36 @t44))) % 0.32/0.57 (step @p16 :rule trans :premises (@p15 @p14)) % 0.32/0.57 (step @p17 :rule symm :premises (@p16)) % 0.32/0.57 (step @p18 :rule cong :premises (@p17) :args ((forall @t19 (or @t32 @t45)))) % 0.32/0.57 (step @p19 :rule trans :premises (@p18 @p3)) % 0.32/0.57 (step @p20 :rule bool-impl-elim :args (@t31 @t45)) % 0.32/0.57 (step @p21 :rule cong :premises (@p20) :args ((forall @t19 (=> @t31 @t45)))) % 0.32/0.57 (step @p22 :rule trans :premises (@p21 @p19)) % 0.32/0.57 (step @p23 :rule refl :args (@t28)) % 0.32/0.57 (step @p24 :rule refl :args (@t3)) % 0.32/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t3 @t28))) % 0.32/0.57 (step @p26 :rule symm :premises (@p25)) % 0.32/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.32/0.57 (step @p28 :rule refl :args (@t27)) % 0.32/0.57 (step @p29 :rule refl :args (@t5)) % 0.32/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t5 @t27))) % 0.32/0.57 (step @p31 :rule symm :premises (@p30)) % 0.32/0.57 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.32/0.57 (step @p33 :rule refl :args (@t29)) % 0.32/0.57 (step @p34 :rule refl :args (@t8)) % 0.32/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t8 @t29))) % 0.32/0.57 (step @p36 :rule symm :premises (@p35)) % 0.32/0.57 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.32/0.57 (step @p38 :rule cong :premises (@p37) :args (@t46)) % 0.32/0.57 (step @p39 :rule nary_cong :premises (@p38 @p32 @p27) :args (@t47)) % 0.32/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t10 @t47))) % 0.32/0.57 (step @p41 :rule aci_norm :args ((= (or (or @t46 @t5) @t3) @t47))) % 0.32/0.57 (step @p42 :rule bool-double-not-elim :args (@t5)) % 0.32/0.57 (step @p43 :rule refl :args (@t46)) % 0.32/0.57 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t46 (not @t6)))) % 0.32/0.57 (step @p45 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.32/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.32/0.57 (step @p47 :rule nary_cong :premises (@p46 @p24) :args ((or (not @t9) @t3))) % 0.32/0.57 (step @p48 :rule trans :premises (@p47 @p41)) % 0.32/0.57 (step @p49 :rule bool-impl-elim :args (@t9 @t3)) % 0.32/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.32/0.57 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 0.32/0.57 (step @p52 :rule trans :premises (@p51 @p40)) % 0.32/0.57 (step @p53 :rule nary_cong :premises (@p38 @p27 @p32) :args (@t48)) % 0.32/0.57 (step @p54 :rule cong :premises (@p53) :args ((forall @t10 @t48))) % 0.32/0.57 (step @p55 :rule aci_norm :args ((= (or (or @t46 @t3) @t5) @t48))) % 0.32/0.57 (step @p56 :rule bool-double-not-elim :args (@t3)) % 0.32/0.57 (step @p57 :rule nary_cong :premises (@p43 @p56) :args ((or @t46 (not @t12)))) % 0.32/0.57 (step @p58 :rule bool-and-de-morgan :args (@t8 @t12 true)) % 0.32/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.32/0.57 (step @p60 :rule nary_cong :premises (@p59 @p29) :args ((or (not @t13) @t5))) % 0.32/0.57 (step @p61 :rule trans :premises (@p60 @p55)) % 0.32/0.57 (step @p62 :rule bool-impl-elim :args (@t13 @t5)) % 0.32/0.57 (step @p63 :rule trans :premises (@p62 @p61)) % 0.32/0.57 (step @p64 :rule cong :premises (@p63) :args (@t14)) % 0.32/0.57 (step @p65 :rule trans :premises (@p64 @p54)) % 0.32/0.57 (step @p66 :rule nary_cong :premises (@p65 @p52) :args (@t15)) % 0.32/0.57 (step @p67 :rule aci_norm :args ((= (or @t46 @t16) @t48))) % 0.32/0.57 (step @p68 :rule bool-impl-elim :args (@t8 @t16)) % 0.32/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.32/0.57 (step @p70 :rule cong :premises (@p69) :args (@t17)) % 0.32/0.57 (step @p71 :rule trans :premises (@p70 @p54)) % 0.32/0.57 (step @p72 :rule cong :premises (@p71 @p66) :args (@t18)) % 0.32/0.57 (step @p73 :rule cong :premises (@p72) :args (@t20)) % 0.32/0.57 (step @p74 :rule trans :premises (@p73 @p22)) % 0.32/0.57 (step @p75 :rule cong :premises (@p74) :args (@t21)) % 0.32/0.57 (step @p76 :rule eq_resolve :premises (@p1 @p75)) % 0.32/0.57 (step @p77 :rule skolemize :premises (@p76)) % 0.32/0.57 (step @p78 :rule bool-double-not-elim :args (@t52)) % 0.32/0.57 (step @p79 :rule refl :args (@t63)) % 0.32/0.57 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t63 (not @t62)))) % 0.32/0.57 (step @p81 :rule cnf_or_neg :args (@t63 0)) % 0.32/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.32/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t52 @t63))) % 0.32/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t52 @t64 @t65)) % 0.32/0.57 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t59))) % 0.32/0.57 (step @p86 :rule cnf_or_neg :args (@t63 1)) % 0.32/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p77) :args ((not @t61) @t64 @t65)) % 0.32/0.57 (step @p88 :rule cnf_and_neg :args (@t61)) % 0.32/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p87 @p85) :args ((not @t58) @t66 (@list @t61 @t60))) % 0.32/0.57 (step @p90 :rule cnf_or_neg :args (@t58 2)) % 0.32/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p89) :args ((not @t54) @t64 @t67)) % 0.32/0.57 (step @p92 :rule cnf_or_neg :args (@t58 1)) % 0.32/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p89) :args ((not @t55) @t64 @t67)) % 0.32/0.57 (step @p94 :rule bool-double-not-elim :args (@t56)) % 0.32/0.57 (step @p95 :rule refl :args (@t58)) % 0.32/0.57 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t58 (not @t57)))) % 0.32/0.57 (step @p97 :rule cnf_or_neg :args (@t58 0)) % 0.32/0.57 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.32/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t56 @t58))) % 0.32/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p89) :args (@t56 @t64 @t67)) % 0.32/0.57 (step @p101 :rule cnf_or_pos :args (@t68)) % 0.32/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t57 @t55 @t54 @t69))) % 0.32/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p93 @p91) :args (@t69 (@list false true true) (@list @t56 @t55 @t54))) % 0.32/0.57 (assume-push @p110 @t52) % 0.32/0.57 (step @p105 :rule instantiate :premises (@p84) :args ((@list @t53))) % 0.32/0.57 (step-pop @p111 :rule scope :premises (@p105)) % 0.32/0.57 (step @p106 :rule process_scope :premises (@p111) :args (@t68)) % 0.32/0.57 (step @p108 :rule implies_elim :premises (@p106)) % 0.32/0.57 (step @p109 false :rule chain_m_resolution :premises (@p108 @p103 @p84) :args (false @t66 (@list @t68 @t52))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------