%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV233^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:55:39 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV233^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 18:21:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.cD (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cE (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Xx0" $$unsorted)) % 0.38/0.56 (define @t2 () (_ tptp.cE @t1)) % 0.38/0.56 (define @t3 () (@var "Xx" (-> $$unsorted Bool))) % 0.38/0.56 (define @t4 () (_ @t3 @t1)) % 0.38/0.56 (define @t5 () (@list @t1)) % 0.38/0.56 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.38/0.56 (define @t7 () (_ tptp.cD @t1)) % 0.38/0.56 (define @t8 () (forall @t5 (=> @t4 @t7))) % 0.38/0.56 (define @t9 () (and @t8 @t6)) % 0.38/0.56 (define @t10 () (and @t7 @t2)) % 0.38/0.56 (define @t11 () (forall @t5 (=> @t4 @t10))) % 0.38/0.56 (define @t12 () (=> @t11 @t9)) % 0.38/0.56 (define @t13 () (@list @t3)) % 0.38/0.56 (define @t14 () (forall @t13 @t12)) % 0.38/0.56 (define @t15 () (not @t14)) % 0.38/0.56 (define @t16 () (@var "BOUND_VARIABLE_7457" $$unsorted)) % 0.38/0.56 (define @t17 () (or (not (_ @t3 @t16)) (tptp.cE @t16))) % 0.38/0.56 (define @t18 () (@var "BOUND_VARIABLE_7451" $$unsorted)) % 0.38/0.56 (define @t19 () (or (not (_ @t3 @t18)) (tptp.cD @t18))) % 0.38/0.56 (define @t20 () (and @t19 @t17)) % 0.38/0.56 (define @t21 () (tptp.cE @t1)) % 0.38/0.56 (define @t22 () (tptp.cD @t1)) % 0.38/0.56 (define @t23 () (and @t22 @t21)) % 0.38/0.56 (define @t24 () (_ @t3 @t1)) % 0.38/0.56 (define @t25 () (not @t24)) % 0.38/0.56 (define @t26 () (forall @t5 (or @t25 @t23))) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (or @t27 @t20)) % 0.38/0.56 (define @t29 () (forall (@list @t3 @t18 @t16) @t28)) % 0.38/0.56 (define @t30 () (@quantifiers_skolemize @t29 2)) % 0.38/0.56 (define @t31 () (@quantifiers_skolemize @t29 0)) % 0.38/0.56 (define @t32 () (_ @t31 @t30)) % 0.38/0.56 (define @t33 () (tptp.cE @t30)) % 0.38/0.56 (define @t34 () (not @t32)) % 0.38/0.56 (define @t35 () (or @t34 @t33)) % 0.38/0.56 (define @t36 () (@list @t18 @t16)) % 0.38/0.56 (define @t37 () (forall @t36 @t28)) % 0.38/0.56 (define @t38 () (forall (@list @t16) @t17)) % 0.38/0.56 (define @t39 () (@list @t1)) % 0.38/0.56 (define @t40 () (forall @t36 @t17)) % 0.38/0.56 (define @t41 () (forall (@list @t18) @t19)) % 0.38/0.56 (define @t42 () (forall @t36 @t19)) % 0.38/0.56 (define @t43 () (and @t42 @t40)) % 0.38/0.56 (define @t44 () (forall @t36 @t20)) % 0.38/0.56 (define @t45 () (or @t27 @t44)) % 0.38/0.56 (define @t46 () (and (forall @t5 (or @t25 @t22)) (forall @t5 (or @t25 @t21)))) % 0.38/0.56 (define @t47 () (not @t4)) % 0.38/0.56 (define @t48 () (or @t47 @t2)) % 0.38/0.56 (define @t49 () (or @t47 @t7)) % 0.38/0.56 (define @t50 () (or @t47 @t10)) % 0.38/0.56 (define @t51 () (forall @t5 (or (not (_ @t31 @t1)) @t23))) % 0.38/0.56 (define @t52 () (@quantifiers_skolemize @t29 1)) % 0.38/0.56 (define @t53 () (tptp.cD @t52)) % 0.38/0.56 (define @t54 () (_ @t31 @t52)) % 0.38/0.56 (define @t55 () (not @t54)) % 0.38/0.56 (define @t56 () (or @t55 @t53)) % 0.38/0.56 (define @t57 () (and @t56 @t35)) % 0.38/0.56 (define @t58 () (not @t51)) % 0.38/0.56 (define @t59 () (or @t58 @t57)) % 0.38/0.56 (define @t60 () (@list true)) % 0.38/0.56 (define @t61 () (@list @t59)) % 0.38/0.56 (define @t62 () (and (tptp.cD @t30) @t33)) % 0.38/0.56 (define @t63 () (or @t34 @t62)) % 0.38/0.56 (define @t64 () (@list @t56)) % 0.38/0.56 (define @t65 () (and @t53 (tptp.cE @t52))) % 0.38/0.56 (define @t66 () (or @t55 @t65)) % 0.38/0.56 (assume @p1 @t15) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule bool-double-not-elim :args (@t32)) % 0.38/0.56 (step @p4 :rule refl :args (@t35)) % 0.38/0.56 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t35 (not @t34)))) % 0.38/0.56 (step @p6 :rule cnf_or_neg :args (@t35 0)) % 0.38/0.56 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 0.38/0.56 (step @p8 :rule reordering :premises (@p7) :args ((or @t32 @t35))) % 0.38/0.56 (step @p9 :rule cnf_or_neg :args (@t35 1)) % 0.38/0.56 (step @p10 :rule quant-merge-prenex :args ((= (forall @t13 @t37) @t29))) % 0.38/0.56 (step @p11 :rule alpha_equiv :args (@t38 (@list @t16) @t39)) % 0.38/0.56 (step @p12 :rule quant-unused-vars :args ((= @t40 @t38))) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.56 (step @p14 :rule alpha_equiv :args (@t41 (@list @t18) @t39)) % 0.38/0.56 (step @p15 :rule quant-unused-vars :args ((= @t42 @t41))) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.38/0.56 (step @p17 :rule nary_cong :premises (@p16 @p13) :args (@t43)) % 0.38/0.56 (step @p18 :rule quant-miniscope-and :args ((= @t44 @t43))) % 0.38/0.56 (step @p19 :rule trans :premises (@p18 @p17)) % 0.38/0.56 (step @p20 :rule refl :args (@t27)) % 0.38/0.56 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t45)) % 0.38/0.56 (step @p22 :rule quant-miniscope-or :args ((= @t37 @t45))) % 0.38/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.56 (step @p24 :rule symm :premises (@p23)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24) :args ((forall @t13 (or @t27 @t46)))) % 0.38/0.56 (step @p26 :rule trans :premises (@p25 @p10)) % 0.38/0.56 (step @p27 :rule bool-impl-elim :args (@t26 @t46)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t13 (=> @t26 @t46)))) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p26)) % 0.38/0.56 (step @p30 :rule refl :args (@t21)) % 0.38/0.56 (step @p31 :rule refl :args (@t2)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t2 @t21))) % 0.38/0.56 (step @p33 :rule symm :premises (@p32)) % 0.38/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.56 (step @p35 :rule refl :args (@t24)) % 0.38/0.56 (step @p36 :rule refl :args (@t4)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t4 @t24))) % 0.38/0.56 (step @p38 :rule symm :premises (@p37)) % 0.38/0.56 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39) :args (@t47)) % 0.38/0.56 (step @p41 :rule nary_cong :premises (@p40 @p34) :args (@t48)) % 0.38/0.56 (step @p42 :rule cong :premises (@p41) :args ((forall @t5 @t48))) % 0.38/0.56 (step @p43 :rule bool-impl-elim :args (@t4 @t2)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43) :args (@t6)) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p42)) % 0.38/0.56 (step @p46 :rule refl :args (@t22)) % 0.38/0.56 (step @p47 :rule refl :args (@t7)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t7 @t22))) % 0.38/0.56 (step @p49 :rule symm :premises (@p48)) % 0.38/0.56 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.38/0.56 (step @p51 :rule nary_cong :premises (@p40 @p50) :args (@t49)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args ((forall @t5 @t49))) % 0.38/0.56 (step @p53 :rule bool-impl-elim :args (@t4 @t7)) % 0.38/0.56 (step @p54 :rule cong :premises (@p53) :args (@t8)) % 0.38/0.56 (step @p55 :rule trans :premises (@p54 @p52)) % 0.38/0.56 (step @p56 :rule nary_cong :premises (@p55 @p45) :args (@t9)) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p50 @p34) :args (@t10)) % 0.38/0.56 (step @p58 :rule nary_cong :premises (@p40 @p57) :args (@t50)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args ((forall @t5 @t50))) % 0.38/0.56 (step @p60 :rule bool-impl-elim :args (@t4 @t10)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60) :args (@t11)) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p59)) % 0.38/0.56 (step @p63 :rule cong :premises (@p62 @p56) :args (@t12)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63) :args (@t14)) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p29)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 0.38/0.56 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 0.38/0.56 (step @p68 :rule skolemize :premises (@p67)) % 0.38/0.56 (step @p69 :rule bool-double-not-elim :args (@t51)) % 0.38/0.56 (step @p70 :rule refl :args (@t59)) % 0.38/0.56 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t59 (not @t58)))) % 0.38/0.56 (step @p72 :rule cnf_or_neg :args (@t59 0)) % 0.38/0.56 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.38/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t51 @t59))) % 0.38/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t51 @t60 @t61)) % 0.38/0.56 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t30))) % 0.38/0.56 (step @p77 :rule cnf_or_pos :args (@t63)) % 0.38/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t34 @t62 (not @t63)))) % 0.38/0.56 (step @p79 :rule cnf_and_pos :args (@t62 1)) % 0.38/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t33 (not @t62)))) % 0.38/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p76 @p9 @p8) :args (@t35 (@list false false true false) (@list @t62 @t63 @t33 @t32))) % 0.38/0.56 (step @p82 :rule cnf_or_neg :args (@t59 1)) % 0.38/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p68) :args ((not @t57) @t60 @t61)) % 0.38/0.56 (step @p84 :rule cnf_and_neg :args (@t57)) % 0.38/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p83 @p81) :args ((not @t56) (@list true false) (@list @t57 @t35))) % 0.38/0.56 (step @p86 :rule cnf_or_neg :args (@t56 1)) % 0.38/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p85) :args ((not @t53) @t60 @t64)) % 0.38/0.56 (step @p88 :rule instantiate :premises (@p75) :args ((@list @t52))) % 0.38/0.56 (step @p89 :rule bool-double-not-elim :args (@t54)) % 0.38/0.56 (step @p90 :rule refl :args (@t56)) % 0.38/0.56 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t56 (not @t55)))) % 0.38/0.56 (step @p92 :rule cnf_or_neg :args (@t56 0)) % 0.38/0.56 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.56 (step @p94 :rule reordering :premises (@p93) :args ((or @t54 @t56))) % 0.38/0.56 (step @p95 :rule chain_m_resolution :premises (@p94 @p85) :args (@t54 @t60 @t64)) % 0.38/0.56 (step @p96 :rule cnf_or_pos :args (@t66)) % 0.38/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t55 @t65 (not @t66)))) % 0.38/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p88) :args (@t65 (@list false false) (@list @t54 @t66))) % 0.38/0.56 (step @p99 :rule cnf_and_pos :args (@t65 0)) % 0.38/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t53 (not @t65)))) % 0.38/0.56 (step @p101 false :rule chain_m_resolution :premises (@p100 @p98 @p87) :args (false (@list false true) (@list @t65 @t53))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------