%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET625^5 : 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 : n025.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 08:48:17 AM UTC 2026 % Result : Theorem 0.31s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET625^5 : 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 : n025.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 16:05:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.31/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort tptp.a 0) % 0.31/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.31/0.57 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.31/0.57 (define @t3 () (_ @t2 @t1)) % 0.31/0.57 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.31/0.57 (define @t5 () (_ @t4 @t1)) % 0.31/0.57 (define @t6 () (and @t5 @t3)) % 0.31/0.57 (define @t7 () (@list @t1)) % 0.31/0.57 (define @t8 () (exists @t7 @t6)) % 0.31/0.57 (define @t9 () (@var "Y" (-> tptp.a Bool))) % 0.31/0.57 (define @t10 () (_ @t9 @t1)) % 0.31/0.57 (define @t11 () (forall @t7 (=> @t10 @t3))) % 0.31/0.57 (define @t12 () (and @t5 @t10)) % 0.31/0.57 (define @t13 () (exists @t7 @t12)) % 0.31/0.57 (define @t14 () (and @t13 @t11)) % 0.31/0.57 (define @t15 () (=> @t14 @t8)) % 0.31/0.57 (define @t16 () (@list @t4 @t9 @t2)) % 0.31/0.57 (define @t17 () (forall @t16 @t15)) % 0.31/0.57 (define @t18 () (not @t17)) % 0.31/0.57 (define @t19 () (@var "BOUND_VARIABLE_7464" tptp.a)) % 0.31/0.57 (define @t20 () (not (_ @t9 @t19))) % 0.31/0.57 (define @t21 () (not (_ @t4 @t19))) % 0.31/0.57 (define @t22 () (_ @t2 @t1)) % 0.31/0.57 (define @t23 () (_ @t4 @t1)) % 0.31/0.57 (define @t24 () (not @t23)) % 0.31/0.57 (define @t25 () (not (forall @t7 (or @t24 (not @t22))))) % 0.31/0.57 (define @t26 () (_ @t9 @t1)) % 0.31/0.57 (define @t27 () (not @t26)) % 0.31/0.57 (define @t28 () (forall @t7 (or @t27 @t22))) % 0.31/0.57 (define @t29 () (not @t28)) % 0.31/0.57 (define @t30 () (or @t29 @t25 @t21 @t20)) % 0.31/0.57 (define @t31 () (or @t21 @t20)) % 0.31/0.57 (define @t32 () (or @t31 @t29 @t25)) % 0.31/0.57 (define @t33 () (@list @t4 @t9 @t2 @t19)) % 0.31/0.57 (define @t34 () (forall @t33 @t32)) % 0.31/0.57 (define @t35 () (@list @t19)) % 0.31/0.57 (define @t36 () (forall @t35 @t32)) % 0.31/0.57 (define @t37 () (forall @t35 @t31)) % 0.31/0.57 (define @t38 () (or @t37 @t29 @t25)) % 0.31/0.57 (define @t39 () (forall @t7 (or @t24 @t27))) % 0.31/0.57 (define @t40 () (or @t39 @t29 @t25)) % 0.31/0.57 (define @t41 () (not @t39)) % 0.31/0.57 (define @t42 () (and @t41 @t28)) % 0.31/0.57 (define @t43 () (not @t3)) % 0.31/0.57 (define @t44 () (not @t5)) % 0.31/0.57 (define @t45 () (or @t44 @t43)) % 0.31/0.57 (define @t46 () (forall @t7 (not @t6))) % 0.31/0.57 (define @t47 () (not @t46)) % 0.31/0.57 (define @t48 () (not @t10)) % 0.31/0.57 (define @t49 () (or @t48 @t3)) % 0.31/0.57 (define @t50 () (or @t44 @t48)) % 0.31/0.57 (define @t51 () (forall @t7 (not @t12))) % 0.31/0.57 (define @t52 () (not @t51)) % 0.31/0.57 (define @t53 () (forall @t33 @t30)) % 0.31/0.57 (define @t54 () (@quantifiers_skolemize @t53 3)) % 0.31/0.57 (define @t55 () (@quantifiers_skolemize @t53 0)) % 0.31/0.57 (define @t56 () (_ @t55 @t54)) % 0.31/0.57 (define @t57 () (@quantifiers_skolemize @t53 1)) % 0.31/0.57 (define @t58 () (_ @t57 @t54)) % 0.31/0.57 (define @t59 () (not @t58)) % 0.31/0.57 (define @t60 () (not @t56)) % 0.31/0.57 (define @t61 () (@quantifiers_skolemize @t53 2)) % 0.31/0.57 (define @t62 () (_ @t61 @t1)) % 0.31/0.57 (define @t63 () (forall @t7 (or (not (_ @t55 @t1)) (not @t62)))) % 0.31/0.57 (define @t64 () (not @t63)) % 0.31/0.57 (define @t65 () (forall @t7 (or (not (_ @t57 @t1)) @t62))) % 0.31/0.57 (define @t66 () (not @t65)) % 0.31/0.57 (define @t67 () (or @t66 @t64 @t60 @t59)) % 0.31/0.57 (define @t68 () (@list true)) % 0.31/0.57 (define @t69 () (@list @t67)) % 0.31/0.57 (define @t70 () (@list @t54)) % 0.31/0.57 (define @t71 () (_ @t61 @t54)) % 0.31/0.57 (define @t72 () (or @t59 @t71)) % 0.31/0.57 (define @t73 () (not @t71)) % 0.31/0.57 (define @t74 () (or @t60 @t73)) % 0.31/0.57 (assume @p1 @t18) % 0.31/0.57 (assume @p2 true) % 0.31/0.57 (step @p3 :rule aci_norm :args ((= @t32 @t30))) % 0.31/0.57 (step @p4 :rule cong :premises (@p3) :args (@t34)) % 0.31/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t16 @t36) @t34))) % 0.31/0.57 (step @p6 :rule refl :args (@t25)) % 0.31/0.57 (step @p7 :rule refl :args (@t29)) % 0.31/0.57 (step @p8 :rule alpha_equiv :args (@t37 (@list @t19) (@list @t1))) % 0.31/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t38)) % 0.31/0.57 (step @p10 :rule quant-miniscope-or :args ((= @t36 @t38))) % 0.31/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.31/0.57 (step @p12 :rule symm :premises (@p11)) % 0.31/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t16 @t40))) % 0.31/0.57 (step @p14 :rule trans :premises (@p13 @p5)) % 0.31/0.57 (step @p15 :rule trans :premises (@p14 @p4)) % 0.31/0.57 (step @p16 :rule aci_norm :args ((= (or (or @t39 @t29) @t25) @t40))) % 0.31/0.57 (step @p17 :rule bool-double-not-elim :args (@t39)) % 0.31/0.57 (step @p18 :rule nary_cong :premises (@p17 @p7) :args ((or (not @t41) @t29))) % 0.31/0.57 (step @p19 :rule bool-and-de-morgan :args (@t41 @t28 true)) % 0.31/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.31/0.57 (step @p21 :rule nary_cong :premises (@p20 @p6) :args ((or (not @t42) @t25))) % 0.31/0.57 (step @p22 :rule trans :premises (@p21 @p16)) % 0.31/0.57 (step @p23 :rule bool-impl-elim :args (@t42 @t25)) % 0.31/0.57 (step @p24 :rule trans :premises (@p23 @p22)) % 0.31/0.57 (step @p25 :rule cong :premises (@p24) :args ((forall @t16 (=> @t42 @t25)))) % 0.31/0.57 (step @p26 :rule trans :premises (@p25 @p15)) % 0.31/0.57 (step @p27 :rule refl :args (@t22)) % 0.31/0.57 (step @p28 :rule refl :args (@t3)) % 0.31/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t3 @t22))) % 0.31/0.57 (step @p30 :rule symm :premises (@p29)) % 0.31/0.57 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.31/0.57 (step @p32 :rule cong :premises (@p31) :args (@t43)) % 0.31/0.57 (step @p33 :rule refl :args (@t23)) % 0.31/0.57 (step @p34 :rule refl :args (@t5)) % 0.31/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t5 @t23))) % 0.31/0.57 (step @p36 :rule symm :premises (@p35)) % 0.31/0.57 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.31/0.57 (step @p38 :rule cong :premises (@p37) :args (@t44)) % 0.31/0.57 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t45)) % 0.31/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 @t45))) % 0.31/0.57 (step @p41 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.31/0.57 (step @p42 :rule cong :premises (@p41) :args (@t46)) % 0.31/0.57 (step @p43 :rule trans :premises (@p42 @p40)) % 0.31/0.57 (step @p44 :rule cong :premises (@p43) :args (@t47)) % 0.31/0.57 (step @p45 :rule exists-elim :args ((= @t8 @t47))) % 0.31/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.31/0.57 (step @p47 :rule refl :args (@t26)) % 0.31/0.57 (step @p48 :rule refl :args (@t10)) % 0.31/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t10 @t26))) % 0.31/0.57 (step @p50 :rule symm :premises (@p49)) % 0.31/0.57 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.31/0.57 (step @p52 :rule cong :premises (@p51) :args (@t48)) % 0.31/0.57 (step @p53 :rule nary_cong :premises (@p52 @p31) :args (@t49)) % 0.31/0.57 (step @p54 :rule cong :premises (@p53) :args ((forall @t7 @t49))) % 0.31/0.57 (step @p55 :rule bool-impl-elim :args (@t10 @t3)) % 0.31/0.57 (step @p56 :rule cong :premises (@p55) :args (@t11)) % 0.31/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.31/0.57 (step @p58 :rule nary_cong :premises (@p38 @p52) :args (@t50)) % 0.31/0.57 (step @p59 :rule cong :premises (@p58) :args ((forall @t7 @t50))) % 0.31/0.57 (step @p60 :rule bool-and-de-morgan :args (@t5 @t10 true)) % 0.31/0.57 (step @p61 :rule cong :premises (@p60) :args (@t51)) % 0.31/0.57 (step @p62 :rule trans :premises (@p61 @p59)) % 0.31/0.57 (step @p63 :rule cong :premises (@p62) :args (@t52)) % 0.31/0.57 (step @p64 :rule exists-elim :args ((= @t13 @t52))) % 0.31/0.57 (step @p65 :rule trans :premises (@p64 @p63)) % 0.31/0.57 (step @p66 :rule nary_cong :premises (@p65 @p57) :args (@t14)) % 0.31/0.57 (step @p67 :rule cong :premises (@p66 @p46) :args (@t15)) % 0.31/0.57 (step @p68 :rule cong :premises (@p67) :args (@t17)) % 0.31/0.57 (step @p69 :rule trans :premises (@p68 @p26)) % 0.31/0.57 (step @p70 :rule cong :premises (@p69) :args (@t18)) % 0.31/0.57 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.31/0.57 (step @p72 :rule skolemize :premises (@p71)) % 0.31/0.57 (step @p73 :rule bool-double-not-elim :args (@t56)) % 0.31/0.57 (step @p74 :rule refl :args (@t67)) % 0.31/0.57 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t67 (not @t60)))) % 0.31/0.57 (step @p76 :rule cnf_or_neg :args (@t67 2)) % 0.31/0.57 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.31/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t56 @t67))) % 0.31/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t56 @t68 @t69)) % 0.31/0.57 (step @p80 :rule bool-double-not-elim :args (@t63)) % 0.31/0.57 (step @p81 :rule nary_cong :premises (@p74 @p80) :args ((or @t67 (not @t64)))) % 0.31/0.57 (step @p82 :rule cnf_or_neg :args (@t67 1)) % 0.31/0.57 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.31/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t63 @t67))) % 0.31/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p72) :args (@t63 @t68 @t69)) % 0.31/0.57 (step @p86 :rule instantiate :premises (@p85) :args (@t70)) % 0.31/0.57 (step @p87 :rule bool-double-not-elim :args (@t65)) % 0.31/0.57 (step @p88 :rule nary_cong :premises (@p74 @p87) :args ((or @t67 (not @t66)))) % 0.31/0.57 (step @p89 :rule cnf_or_neg :args (@t67 0)) % 0.31/0.57 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.31/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t65 @t67))) % 0.31/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p72) :args (@t65 @t68 @t69)) % 0.31/0.57 (step @p93 :rule instantiate :premises (@p92) :args (@t70)) % 0.31/0.57 (step @p94 :rule bool-double-not-elim :args (@t58)) % 0.31/0.57 (step @p95 :rule nary_cong :premises (@p74 @p94) :args ((or @t67 (not @t59)))) % 0.31/0.57 (step @p96 :rule cnf_or_neg :args (@t67 3)) % 0.31/0.57 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.31/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t58 @t67))) % 0.31/0.57 (step @p99 :rule chain_m_resolution :premises (@p98 @p72) :args (@t58 @t68 @t69)) % 0.38/0.57 (step @p100 :rule cnf_or_pos :args (@t72)) % 0.38/0.57 (step @p101 :rule reordering :premises (@p100) :args ((or @t59 @t71 (not @t72)))) % 0.38/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p93) :args (@t71 (@list false false) (@list @t58 @t72))) % 0.38/0.57 (step @p103 :rule cnf_or_pos :args (@t74)) % 0.38/0.57 (step @p104 :rule reordering :premises (@p103) :args ((or @t60 @t73 (not @t74)))) % 0.38/0.57 (step @p105 false :rule chain_m_resolution :premises (@p104 @p102 @p86 @p79) :args (false (@list false false false) (@list @t71 @t74 @t56))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------