%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET027^5 : 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 : n004.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 08:47:03 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET027^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:41:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.a 0) % 0.29/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.29/0.55 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.29/0.55 (define @t3 () (_ @t2 @t1)) % 0.29/0.55 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.29/0.55 (define @t5 () (_ @t4 @t1)) % 0.29/0.55 (define @t6 () (@list @t1)) % 0.29/0.55 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.29/0.55 (define @t8 () (@var "Y" (-> tptp.a Bool))) % 0.29/0.55 (define @t9 () (_ @t8 @t1)) % 0.29/0.55 (define @t10 () (forall @t6 (=> @t9 @t3))) % 0.29/0.55 (define @t11 () (forall @t6 (=> @t5 @t9))) % 0.29/0.55 (define @t12 () (and @t11 @t10)) % 0.29/0.55 (define @t13 () (=> @t12 @t7)) % 0.29/0.55 (define @t14 () (@list @t4 @t8 @t2)) % 0.29/0.55 (define @t15 () (forall @t14 @t13)) % 0.29/0.55 (define @t16 () (not @t15)) % 0.29/0.55 (define @t17 () (@var "BOUND_VARIABLE_7455" tptp.a)) % 0.29/0.55 (define @t18 () (_ @t2 @t17)) % 0.29/0.55 (define @t19 () (not (_ @t4 @t17))) % 0.29/0.55 (define @t20 () (_ @t2 @t1)) % 0.29/0.55 (define @t21 () (_ @t8 @t1)) % 0.29/0.55 (define @t22 () (forall @t6 (or (not @t21) @t20))) % 0.29/0.55 (define @t23 () (not @t22)) % 0.29/0.55 (define @t24 () (_ @t4 @t1)) % 0.29/0.55 (define @t25 () (not @t24)) % 0.29/0.55 (define @t26 () (forall @t6 (or @t25 @t21))) % 0.29/0.55 (define @t27 () (not @t26)) % 0.29/0.55 (define @t28 () (or @t27 @t23 @t19 @t18)) % 0.29/0.55 (define @t29 () (or @t19 @t18)) % 0.29/0.55 (define @t30 () (or @t27 @t23 @t29)) % 0.29/0.55 (define @t31 () (@list @t4 @t8 @t2 @t17)) % 0.29/0.55 (define @t32 () (forall @t31 @t30)) % 0.29/0.55 (define @t33 () (@list @t17)) % 0.29/0.55 (define @t34 () (forall @t33 @t30)) % 0.29/0.55 (define @t35 () (forall @t33 @t29)) % 0.29/0.55 (define @t36 () (or @t27 @t23 @t35)) % 0.29/0.55 (define @t37 () (forall @t6 (or @t25 @t20))) % 0.29/0.55 (define @t38 () (or @t27 @t23 @t37)) % 0.29/0.55 (define @t39 () (and @t26 @t22)) % 0.29/0.55 (define @t40 () (not @t5)) % 0.29/0.55 (define @t41 () (or @t40 @t3)) % 0.29/0.55 (define @t42 () (not @t9)) % 0.29/0.55 (define @t43 () (or @t42 @t3)) % 0.29/0.55 (define @t44 () (or @t40 @t9)) % 0.29/0.55 (define @t45 () (forall @t31 @t28)) % 0.29/0.55 (define @t46 () (@quantifiers_skolemize @t45 3)) % 0.29/0.55 (define @t47 () (@quantifiers_skolemize @t45 2)) % 0.29/0.55 (define @t48 () (_ @t47 @t46)) % 0.29/0.55 (define @t49 () (@quantifiers_skolemize @t45 0)) % 0.29/0.55 (define @t50 () (_ @t49 @t46)) % 0.29/0.55 (define @t51 () (not @t50)) % 0.29/0.55 (define @t52 () (@quantifiers_skolemize @t45 1)) % 0.29/0.55 (define @t53 () (_ @t52 @t1)) % 0.29/0.55 (define @t54 () (forall @t6 (or (not @t53) (_ @t47 @t1)))) % 0.29/0.55 (define @t55 () (not @t54)) % 0.29/0.55 (define @t56 () (forall @t6 (or (not (_ @t49 @t1)) @t53))) % 0.29/0.55 (define @t57 () (not @t56)) % 0.29/0.55 (define @t58 () (or @t57 @t55 @t51 @t48)) % 0.29/0.55 (define @t59 () (@list true)) % 0.29/0.55 (define @t60 () (@list @t58)) % 0.29/0.55 (define @t61 () (@list @t46)) % 0.29/0.55 (define @t62 () (_ @t52 @t46)) % 0.29/0.55 (define @t63 () (or @t51 @t62)) % 0.29/0.55 (define @t64 () (not @t62)) % 0.29/0.55 (define @t65 () (or @t64 @t48)) % 0.29/0.55 (assume @p1 @t16) % 0.29/0.55 (assume @p2 true) % 0.29/0.55 (step @p3 :rule aci_norm :args ((= @t30 @t28))) % 0.29/0.55 (step @p4 :rule cong :premises (@p3) :args (@t32)) % 0.29/0.55 (step @p5 :rule quant-merge-prenex :args ((= (forall @t14 @t34) @t32))) % 0.29/0.55 (step @p6 :rule alpha_equiv :args (@t35 (@list @t17) (@list @t1))) % 0.29/0.55 (step @p7 :rule refl :args (@t23)) % 0.29/0.55 (step @p8 :rule refl :args (@t27)) % 0.29/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t36)) % 0.29/0.55 (step @p10 :rule quant-miniscope-or :args ((= @t34 @t36))) % 0.29/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.29/0.55 (step @p12 :rule symm :premises (@p11)) % 0.29/0.55 (step @p13 :rule cong :premises (@p12) :args ((forall @t14 @t38))) % 0.29/0.55 (step @p14 :rule trans :premises (@p13 @p5)) % 0.29/0.55 (step @p15 :rule trans :premises (@p14 @p4)) % 0.29/0.55 (step @p16 :rule aci_norm :args ((= (or (or @t27 @t23) @t37) @t38))) % 0.29/0.55 (step @p17 :rule refl :args (@t37)) % 0.29/0.55 (step @p18 :rule bool-and-de-morgan :args (@t26 @t22 true)) % 0.29/0.55 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t39) @t37))) % 0.29/0.55 (step @p20 :rule trans :premises (@p19 @p16)) % 0.29/0.55 (step @p21 :rule bool-impl-elim :args (@t39 @t37)) % 0.29/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.29/0.55 (step @p23 :rule cong :premises (@p22) :args ((forall @t14 (=> @t39 @t37)))) % 0.29/0.55 (step @p24 :rule trans :premises (@p23 @p15)) % 0.29/0.55 (step @p25 :rule refl :args (@t20)) % 0.29/0.55 (step @p26 :rule refl :args (@t3)) % 0.29/0.55 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t20))) % 0.29/0.55 (step @p28 :rule symm :premises (@p27)) % 0.29/0.55 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.29/0.55 (step @p30 :rule refl :args (@t24)) % 0.29/0.55 (step @p31 :rule refl :args (@t5)) % 0.29/0.55 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t24))) % 0.29/0.55 (step @p33 :rule symm :premises (@p32)) % 0.29/0.55 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.29/0.55 (step @p35 :rule cong :premises (@p34) :args (@t40)) % 0.29/0.55 (step @p36 :rule nary_cong :premises (@p35 @p29) :args (@t41)) % 0.29/0.55 (step @p37 :rule cong :premises (@p36) :args ((forall @t6 @t41))) % 0.29/0.55 (step @p38 :rule bool-impl-elim :args (@t5 @t3)) % 0.29/0.55 (step @p39 :rule cong :premises (@p38) :args (@t7)) % 0.29/0.55 (step @p40 :rule trans :premises (@p39 @p37)) % 0.29/0.55 (step @p41 :rule refl :args (@t21)) % 0.29/0.55 (step @p42 :rule refl :args (@t9)) % 0.29/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t9 @t21))) % 0.29/0.55 (step @p44 :rule symm :premises (@p43)) % 0.29/0.55 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.29/0.55 (step @p46 :rule cong :premises (@p45) :args (@t42)) % 0.29/0.55 (step @p47 :rule nary_cong :premises (@p46 @p29) :args (@t43)) % 0.29/0.55 (step @p48 :rule cong :premises (@p47) :args ((forall @t6 @t43))) % 0.29/0.55 (step @p49 :rule bool-impl-elim :args (@t9 @t3)) % 0.29/0.55 (step @p50 :rule cong :premises (@p49) :args (@t10)) % 0.29/0.55 (step @p51 :rule trans :premises (@p50 @p48)) % 0.29/0.55 (step @p52 :rule nary_cong :premises (@p35 @p45) :args (@t44)) % 0.29/0.55 (step @p53 :rule cong :premises (@p52) :args ((forall @t6 @t44))) % 0.29/0.55 (step @p54 :rule bool-impl-elim :args (@t5 @t9)) % 0.29/0.55 (step @p55 :rule cong :premises (@p54) :args (@t11)) % 0.29/0.55 (step @p56 :rule trans :premises (@p55 @p53)) % 0.29/0.55 (step @p57 :rule nary_cong :premises (@p56 @p51) :args (@t12)) % 0.29/0.55 (step @p58 :rule cong :premises (@p57 @p40) :args (@t13)) % 0.29/0.55 (step @p59 :rule cong :premises (@p58) :args (@t15)) % 0.29/0.55 (step @p60 :rule trans :premises (@p59 @p24)) % 0.29/0.55 (step @p61 :rule cong :premises (@p60) :args (@t16)) % 0.29/0.55 (step @p62 :rule eq_resolve :premises (@p1 @p61)) % 0.29/0.55 (step @p63 :rule skolemize :premises (@p62)) % 0.29/0.55 (step @p64 :rule cnf_or_neg :args (@t58 3)) % 0.29/0.55 (step @p65 :rule chain_m_resolution :premises (@p64 @p63) :args ((not @t48) @t59 @t60)) % 0.29/0.55 (step @p66 :rule bool-double-not-elim :args (@t54)) % 0.29/0.55 (step @p67 :rule refl :args (@t58)) % 0.29/0.55 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t58 (not @t55)))) % 0.29/0.55 (step @p69 :rule cnf_or_neg :args (@t58 1)) % 0.29/0.55 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.29/0.55 (step @p71 :rule reordering :premises (@p70) :args ((or @t54 @t58))) % 0.29/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p63) :args (@t54 @t59 @t60)) % 0.29/0.55 (step @p73 :rule instantiate :premises (@p72) :args (@t61)) % 0.29/0.55 (step @p74 :rule bool-double-not-elim :args (@t56)) % 0.29/0.55 (step @p75 :rule nary_cong :premises (@p67 @p74) :args ((or @t58 (not @t57)))) % 0.29/0.55 (step @p76 :rule cnf_or_neg :args (@t58 0)) % 0.29/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.29/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t56 @t58))) % 0.29/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p63) :args (@t56 @t59 @t60)) % 0.29/0.55 (step @p80 :rule instantiate :premises (@p79) :args (@t61)) % 0.29/0.55 (step @p81 :rule bool-double-not-elim :args (@t50)) % 0.29/0.55 (step @p82 :rule nary_cong :premises (@p67 @p81) :args ((or @t58 (not @t51)))) % 0.29/0.55 (step @p83 :rule cnf_or_neg :args (@t58 2)) % 0.29/0.55 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.29/0.55 (step @p85 :rule reordering :premises (@p84) :args ((or @t50 @t58))) % 0.29/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p63) :args (@t50 @t59 @t60)) % 0.29/0.55 (step @p87 :rule cnf_or_pos :args (@t63)) % 0.29/0.55 (step @p88 :rule reordering :premises (@p87) :args ((or @t51 @t62 (not @t63)))) % 0.29/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p80) :args (@t62 (@list false false) (@list @t50 @t63))) % 0.29/0.55 (step @p90 :rule cnf_or_pos :args (@t65)) % 0.29/0.55 (step @p91 :rule reordering :premises (@p90) :args ((or @t48 @t64 (not @t65)))) % 0.29/0.55 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p73 @p65) :args (false (@list false false true) (@list @t62 @t65 @t48))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------