%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV427^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:55:57 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV427^1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 13:32:15 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.p (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.q (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 0.16/0.36 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.16/0.36 (define @t2 () (_ tptp.eps @t1)) % 0.16/0.36 (define @t3 () (_ @t1 @t2)) % 0.16/0.36 (define @t4 () (@var "X" $$unsorted)) % 0.16/0.36 (define @t5 () (_ @t1 @t4)) % 0.16/0.36 (define @t6 () (@list @t4)) % 0.16/0.36 (define @t7 () (exists @t6 @t5)) % 0.16/0.36 (define @t8 () (=> @t7 @t3)) % 0.16/0.36 (define @t9 () (@list @t1)) % 0.16/0.36 (define @t10 () (forall @t9 @t8)) % 0.16/0.36 (define @t11 () (_ tptp.q @t4)) % 0.16/0.36 (define @t12 () (_ tptp.p @t4)) % 0.16/0.36 (define @t13 () (or @t12 @t11)) % 0.16/0.36 (define @t14 () (forall @t6 @t13)) % 0.16/0.36 (define @t15 () (_ tptp.eps tptp.q)) % 0.16/0.36 (define @t16 () (_ tptp.q @t15)) % 0.16/0.36 (define @t17 () (_ tptp.eps tptp.p)) % 0.16/0.36 (define @t18 () (_ tptp.p @t17)) % 0.16/0.36 (define @t19 () (or @t18 @t16)) % 0.16/0.36 (define @t20 () (not @t19)) % 0.16/0.36 (define @t21 () (tptp.eps @t1)) % 0.16/0.36 (define @t22 () (_ @t1 @t21)) % 0.16/0.36 (define @t23 () (@var "BOUND_VARIABLE_7447" $$unsorted)) % 0.16/0.36 (define @t24 () (not (_ @t1 @t23))) % 0.16/0.36 (define @t25 () (or @t24 @t22)) % 0.16/0.36 (define @t26 () (forall (@list @t1 @t23) @t25)) % 0.16/0.36 (define @t27 () (@list @t23)) % 0.16/0.36 (define @t28 () (forall @t27 @t25)) % 0.16/0.36 (define @t29 () (forall @t27 @t24)) % 0.16/0.36 (define @t30 () (or @t29 @t22)) % 0.16/0.36 (define @t31 () (_ @t1 @t4)) % 0.16/0.36 (define @t32 () (forall @t6 (not @t31))) % 0.16/0.36 (define @t33 () (or @t32 @t3)) % 0.16/0.36 (define @t34 () (not @t32)) % 0.16/0.36 (define @t35 () (not @t5)) % 0.16/0.36 (define @t36 () (forall @t6 @t35)) % 0.16/0.36 (define @t37 () (not @t36)) % 0.16/0.36 (define @t38 () (tptp.q @t4)) % 0.16/0.36 (define @t39 () (tptp.p @t4)) % 0.16/0.36 (define @t40 () (tptp.eps tptp.p)) % 0.16/0.36 (define @t41 () (tptp.eps tptp.q)) % 0.16/0.36 (define @t42 () (tptp.q @t41)) % 0.16/0.36 (define @t43 () (tptp.p @t40)) % 0.16/0.36 (define @t44 () (tptp.q @t40)) % 0.16/0.36 (define @t45 () (or @t43 @t44)) % 0.16/0.36 (define @t46 () (@list true false)) % 0.16/0.36 (define @t47 () (not @t44)) % 0.16/0.36 (define @t48 () (or @t47 @t42)) % 0.16/0.36 (define @t49 () (not @t48)) % 0.16/0.36 (assume @p1 @t10) % 0.16/0.36 (assume @p2 @t14) % 0.16/0.36 (assume @p3 @t20) % 0.16/0.36 (assume @p4 true) % 0.16/0.36 (step @p5 :rule quant-merge-prenex :args ((= (forall @t9 @t28) @t26))) % 0.16/0.36 (step @p6 :rule refl :args (@t22)) % 0.16/0.36 (step @p7 :rule alpha_equiv :args (@t29 (@list @t23) (@list @t4))) % 0.16/0.36 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t30)) % 0.16/0.36 (step @p9 :rule quant-miniscope-or :args ((= @t28 @t30))) % 0.16/0.36 (step @p10 :rule trans :premises (@p9 @p8)) % 0.16/0.36 (step @p11 :rule symm :premises (@p10)) % 0.16/0.36 (step @p12 :rule cong :premises (@p11) :args ((forall @t9 (or @t32 @t22)))) % 0.16/0.36 (step @p13 :rule trans :premises (@p12 @p5)) % 0.16/0.36 (step @p14 :rule refl :args ((_ @t1 @t2))) % 0.16/0.36 (step @p15 :rule refl :args (@t21)) % 0.16/0.36 (step @p16 :rule cong :premises (@p15) :args (@t22)) % 0.16/0.36 (step @p17 :rule trans :premises (@p16 @p14)) % 0.16/0.36 (step @p18 :rule refl :args (@t1)) % 0.16/0.36 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.16/0.36 (step @p20 :rule cong :premises (@p19 @p17) :args ((= (_ @t1 @t21) @t22))) % 0.16/0.36 (step @p21 :rule symm :premises (@p20)) % 0.16/0.36 (step @p22 :rule refl :args (@t3)) % 0.16/0.36 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.16/0.36 (step @p24 :rule refl :args (@t2)) % 0.16/0.36 (step @p25 :rule cong :premises (@p24 @p15) :args ((= @t2 @t21))) % 0.16/0.36 (step @p26 :rule symm :premises (@p25)) % 0.16/0.36 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.16/0.36 (step @p28 :rule ho_cong :premises (@p18 @p27)) % 0.16/0.36 (step @p29 :rule trans :premises (@p28 @p23)) % 0.16/0.36 (step @p30 :rule refl :args (@t32)) % 0.16/0.36 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t33)) % 0.16/0.36 (step @p32 :rule cong :premises (@p31) :args ((forall @t9 @t33))) % 0.16/0.36 (step @p33 :rule trans :premises (@p32 @p13)) % 0.16/0.36 (step @p34 :rule bool-double-not-elim :args (@t32)) % 0.16/0.36 (step @p35 :rule nary_cong :premises (@p34 @p22) :args ((or (not @t34) @t3))) % 0.16/0.36 (step @p36 :rule bool-impl-elim :args (@t34 @t3)) % 0.16/0.36 (step @p37 :rule trans :premises (@p36 @p35)) % 0.16/0.36 (step @p38 :rule cong :premises (@p37) :args ((forall @t9 (=> @t34 @t3)))) % 0.16/0.36 (step @p39 :rule trans :premises (@p38 @p33)) % 0.16/0.36 (step @p40 :rule refl :args (@t3)) % 0.16/0.36 (step @p41 :rule refl :args (@t31)) % 0.16/0.36 (step @p42 :rule refl :args (@t5)) % 0.16/0.36 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t5 @t31))) % 0.16/0.36 (step @p44 :rule symm :premises (@p43)) % 0.16/0.36 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.16/0.36 (step @p46 :rule cong :premises (@p45) :args (@t35)) % 0.16/0.36 (step @p47 :rule cong :premises (@p46) :args (@t36)) % 0.16/0.36 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.16/0.36 (step @p49 :rule exists-elim :args ((= @t7 @t37))) % 0.16/0.36 (step @p50 :rule trans :premises (@p49 @p48)) % 0.16/0.36 (step @p51 :rule cong :premises (@p50 @p40) :args (@t8)) % 0.16/0.36 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 0.16/0.36 (step @p53 :rule trans :premises (@p52 @p39)) % 0.16/0.36 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.16/0.36 (step @p55 :rule refl :args (@t38)) % 0.16/0.36 (step @p56 :rule refl :args (@t11)) % 0.16/0.36 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t11 @t38))) % 0.16/0.36 (step @p58 :rule symm :premises (@p57)) % 0.16/0.36 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.16/0.36 (step @p60 :rule refl :args (@t39)) % 0.16/0.36 (step @p61 :rule refl :args (@t12)) % 0.16/0.36 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t12 @t39))) % 0.16/0.36 (step @p63 :rule symm :premises (@p62)) % 0.16/0.36 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.16/0.36 (step @p65 :rule nary_cong :premises (@p64 @p59) :args (@t13)) % 0.16/0.36 (step @p66 :rule cong :premises (@p65) :args (@t14)) % 0.16/0.36 (step @p67 :rule eq_resolve :premises (@p2 @p66)) % 0.16/0.36 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t40))) % 0.16/0.36 (step @p69 :rule refl :args ((tptp.q @t15))) % 0.16/0.36 (step @p70 :rule refl :args (@t41)) % 0.16/0.36 (step @p71 :rule cong :premises (@p70) :args (@t42)) % 0.16/0.36 (step @p72 :rule trans :premises (@p71 @p69)) % 0.16/0.36 (step @p73 :rule refl :args (tptp.q)) % 0.16/0.36 (step @p74 :rule ho_cong :premises (@p73 @p70)) % 0.16/0.36 (step @p75 :rule cong :premises (@p74 @p72) :args ((= (_ tptp.q @t41) @t42))) % 0.16/0.36 (step @p76 :rule symm :premises (@p75)) % 0.16/0.36 (step @p77 :rule refl :args (@t16)) % 0.16/0.36 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.16/0.36 (step @p79 :rule refl :args (@t15)) % 0.16/0.36 (step @p80 :rule cong :premises (@p79 @p70) :args ((= @t15 @t41))) % 0.16/0.36 (step @p81 :rule symm :premises (@p80)) % 0.16/0.36 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.16/0.36 (step @p83 :rule refl :args (tptp.q)) % 0.16/0.36 (step @p84 :rule ho_cong :premises (@p83 @p82)) % 0.16/0.36 (step @p85 :rule trans :premises (@p84 @p78)) % 0.16/0.36 (step @p86 :rule refl :args ((tptp.p @t17))) % 0.16/0.36 (step @p87 :rule refl :args (@t40)) % 0.16/0.36 (step @p88 :rule cong :premises (@p87) :args (@t43)) % 0.16/0.36 (step @p89 :rule trans :premises (@p88 @p86)) % 0.16/0.36 (step @p90 :rule refl :args (tptp.p)) % 0.16/0.36 (step @p91 :rule ho_cong :premises (@p90 @p87)) % 0.16/0.36 (step @p92 :rule cong :premises (@p91 @p89) :args ((= (_ tptp.p @t40) @t43))) % 0.16/0.36 (step @p93 :rule symm :premises (@p92)) % 0.16/0.36 (step @p94 :rule refl :args (@t18)) % 0.16/0.36 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.16/0.36 (step @p96 :rule refl :args (@t17)) % 0.16/0.36 (step @p97 :rule cong :premises (@p96 @p87) :args ((= @t17 @t40))) % 0.16/0.36 (step @p98 :rule symm :premises (@p97)) % 0.16/0.36 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.16/0.36 (step @p100 :rule refl :args (tptp.p)) % 0.16/0.36 (step @p101 :rule ho_cong :premises (@p100 @p99)) % 0.16/0.36 (step @p102 :rule trans :premises (@p101 @p95)) % 0.16/0.36 (step @p103 :rule nary_cong :premises (@p102 @p85) :args (@t19)) % 0.16/0.36 (step @p104 :rule cong :premises (@p103) :args (@t20)) % 0.16/0.36 (step @p105 :rule eq_resolve :premises (@p3 @p104)) % 0.16/0.36 (step @p106 :rule not_or_elim :premises (@p105) :args (0)) % 0.16/0.36 (step @p107 :rule cnf_or_pos :args (@t45)) % 0.16/0.36 (step @p108 :rule reordering :premises (@p107) :args ((or @t43 @t44 (not @t45)))) % 0.16/0.36 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p68) :args (@t44 @t46 (@list @t43 @t45))) % 0.16/0.36 (step @p110 :rule not_or_elim :premises (@p105) :args (1)) % 0.16/0.36 (step @p111 :rule cnf_or_pos :args (@t48)) % 0.16/0.36 (step @p112 :rule reordering :premises (@p111) :args ((or @t42 @t47 @t49))) % 0.16/0.36 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p109) :args (@t49 @t46 (@list @t42 @t44))) % 0.16/0.36 (assume-push @p120 @t26) % 0.16/0.36 (step @p115 :rule instantiate :premises (@p54) :args ((@list tptp.q @t40))) % 0.16/0.36 (step-pop @p121 :rule scope :premises (@p115)) % 0.16/0.36 (step @p116 :rule process_scope :premises (@p121) :args (@t48)) % 0.16/0.36 (step @p118 :rule implies_elim :premises (@p116)) % 0.16/0.36 (step @p119 false :rule chain_m_resolution :premises (@p118 @p113 @p54) :args (false @t46 (@list @t48 @t26))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------