%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO363^5 : 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 : n014.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 09:12:30 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO363^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:05:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (declare-const tptp.f (-> (-> tptp.a tptp.a) tptp.a tptp.a)) % 0.30/0.55 (declare-const tptp.h (-> tptp.a tptp.a)) % 0.30/0.55 (declare-const tptp.g (-> (-> tptp.a tptp.a) tptp.a tptp.a)) % 0.30/0.55 (declare-const tptp.j (-> tptp.a tptp.a)) % 0.30/0.55 (define @t1 () (_ tptp.g tptp.j)) % 0.30/0.55 (define @t2 () (@var "Xq" (-> (-> tptp.a tptp.a) Bool))) % 0.30/0.55 (define @t3 () (_ @t2 @t1)) % 0.30/0.55 (define @t4 () (_ tptp.f tptp.h)) % 0.30/0.55 (define @t5 () (_ @t2 @t4)) % 0.30/0.55 (define @t6 () (@list @t2)) % 0.30/0.55 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.30/0.55 (define @t8 () (@var "Z" tptp.a)) % 0.30/0.55 (define @t9 () (_ tptp.j @t8)) % 0.30/0.55 (define @t10 () (_ tptp.h @t8)) % 0.30/0.55 (define @t11 () (= @t10 @t9)) % 0.30/0.55 (define @t12 () (@list @t8)) % 0.30/0.55 (define @t13 () (forall @t12 @t11)) % 0.30/0.55 (define @t14 () (@var "Y" tptp.a)) % 0.30/0.55 (define @t15 () (@var "X" (-> tptp.a tptp.a))) % 0.30/0.55 (define @t16 () (_ (_ tptp.g @t15) @t14)) % 0.30/0.55 (define @t17 () (_ (_ tptp.f @t15) @t14)) % 0.30/0.55 (define @t18 () (= @t17 @t16)) % 0.30/0.55 (define @t19 () (@list @t15 @t14)) % 0.30/0.55 (define @t20 () (forall @t19 @t18)) % 0.30/0.55 (define @t21 () (and @t20 @t13)) % 0.30/0.55 (define @t22 () (=> @t21 @t7)) % 0.30/0.55 (define @t23 () (not @t22)) % 0.30/0.55 (define @t24 () (_ @t2 @t1)) % 0.30/0.55 (define @t25 () (_ @t2 @t4)) % 0.30/0.55 (define @t26 () (not @t5)) % 0.30/0.55 (define @t27 () (or @t26 @t3)) % 0.30/0.55 (define @t28 () (tptp.j @t8)) % 0.30/0.55 (define @t29 () (tptp.h @t8)) % 0.30/0.55 (define @t30 () (tptp.g @t15 @t14)) % 0.30/0.55 (define @t31 () (tptp.f @t15 @t14)) % 0.30/0.55 (define @t32 () (@quantifiers_skolemize (forall @t6 (or (not @t25) @t24)) 0)) % 0.30/0.55 (define @t33 () (_ @t32 @t1)) % 0.30/0.55 (define @t34 () (_ @t32 @t4)) % 0.30/0.55 (define @t35 () (not @t34)) % 0.30/0.55 (define @t36 () (or @t35 @t33)) % 0.30/0.55 (define @t37 () (not @t33)) % 0.30/0.55 (define @t38 () (@list true)) % 0.30/0.55 (define @t39 () (@list @t36)) % 0.30/0.55 (define @t40 () (= @t4 @t1)) % 0.30/0.55 (define @t41 () (not @t40)) % 0.30/0.55 (define @t42 () (and @t34 @t40 @t37)) % 0.30/0.55 (define @t43 () (@list false true)) % 0.30/0.55 (define @t44 () (@const 0 tptp.a)) % 0.30/0.55 (define @t45 () (= (tptp.f tptp.h @t44) (tptp.g tptp.j @t44))) % 0.30/0.55 (define @t46 () (not @t45)) % 0.30/0.55 (define @t47 () (@const 1 tptp.a)) % 0.30/0.55 (define @t48 () (tptp.h @t47)) % 0.30/0.55 (define @t49 () (tptp.j @t47)) % 0.30/0.55 (define @t50 () (forall @t12 (= @t29 @t28))) % 0.30/0.55 (define @t51 () (= @t48 @t49)) % 0.30/0.55 (define @t52 () (= @t49 @t48)) % 0.30/0.55 (define @t53 () (@list false)) % 0.30/0.55 (define @t54 () (= tptp.j tptp.h)) % 0.30/0.55 (define @t55 () (= tptp.g tptp.f)) % 0.30/0.55 (define @t56 () (and @t55 @t54)) % 0.30/0.55 (define @t57 () (@const 2 tptp.a)) % 0.30/0.55 (define @t58 () (@const 3 (-> tptp.a tptp.a))) % 0.30/0.55 (define @t59 () (tptp.f @t58 @t57)) % 0.30/0.55 (define @t60 () (tptp.g @t58 @t57)) % 0.30/0.55 (define @t61 () (= @t60 @t59)) % 0.30/0.55 (define @t62 () (not @t61)) % 0.30/0.55 (define @t63 () (forall @t19 (= @t31 @t30))) % 0.30/0.55 (define @t64 () (= @t59 @t60)) % 0.30/0.55 (assume @p1 @t23) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule refl :args (@t24)) % 0.30/0.55 (step @p4 :rule refl :args (@t3)) % 0.30/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t24))) % 0.30/0.55 (step @p6 :rule symm :premises (@p5)) % 0.30/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.30/0.55 (step @p8 :rule refl :args (@t25)) % 0.30/0.55 (step @p9 :rule refl :args (@t5)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t25))) % 0.30/0.55 (step @p11 :rule symm :premises (@p10)) % 0.30/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.30/0.55 (step @p13 :rule cong :premises (@p12) :args (@t26)) % 0.30/0.55 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t27)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args ((forall @t6 @t27))) % 0.30/0.55 (step @p16 :rule bool-impl-elim :args (@t5 @t3)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16) :args (@t7)) % 0.30/0.55 (step @p18 :rule trans :premises (@p17 @p15)) % 0.30/0.55 (step @p19 :rule refl :args (@t28)) % 0.30/0.55 (step @p20 :rule refl :args (@t9)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t9 @t28))) % 0.30/0.55 (step @p22 :rule symm :premises (@p21)) % 0.30/0.55 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.30/0.55 (step @p24 :rule refl :args (@t29)) % 0.30/0.55 (step @p25 :rule refl :args (@t10)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t10 @t29))) % 0.30/0.55 (step @p27 :rule symm :premises (@p26)) % 0.30/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28 @p23) :args (@t11)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29) :args (@t13)) % 0.30/0.55 (step @p31 :rule refl :args (@t30)) % 0.30/0.55 (step @p32 :rule refl :args (@t16)) % 0.30/0.55 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t16 @t30))) % 0.30/0.55 (step @p34 :rule symm :premises (@p33)) % 0.30/0.55 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.30/0.55 (step @p36 :rule refl :args (@t31)) % 0.30/0.55 (step @p37 :rule refl :args (@t17)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t17 @t31))) % 0.30/0.55 (step @p39 :rule symm :premises (@p38)) % 0.30/0.55 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40 @p35) :args (@t18)) % 0.30/0.55 (step @p42 :rule cong :premises (@p41) :args (@t20)) % 0.30/0.55 (step @p43 :rule nary_cong :premises (@p42 @p30) :args (@t21)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p18) :args (@t22)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44) :args (@t23)) % 0.30/0.55 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.30/0.55 (step @p47 :rule not_implies_elim1 :premises (@p46)) % 0.30/0.55 (step @p48 :rule and_elim :premises (@p47) :args (0)) % 0.30/0.55 (step @p49 :rule not_implies_elim2 :premises (@p46)) % 0.30/0.55 (step @p50 :rule skolemize :premises (@p49)) % 0.30/0.55 (step @p51 :rule cnf_or_neg :args (@t36 1)) % 0.30/0.55 (step @p52 :rule chain_m_resolution :premises (@p51 @p50) :args (@t37 @t38 @t39)) % 0.30/0.56 (step @p53 :rule bool-double-not-elim :args (@t34)) % 0.30/0.56 (step @p54 :rule refl :args (@t36)) % 0.30/0.56 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t36 (not @t35)))) % 0.30/0.56 (step @p56 :rule cnf_or_neg :args (@t36 0)) % 0.30/0.56 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.30/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t34 @t36))) % 0.30/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p50) :args (@t34 @t38 @t39)) % 0.30/0.56 (step @p60 :rule refl :args (@t41)) % 0.30/0.56 (step @p61 :rule bool-double-not-elim :args (@t33)) % 0.30/0.56 (step @p62 :rule refl :args (@t35)) % 0.30/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args ((or @t35 (not @t37) @t41))) % 0.30/0.56 (assume-push @p139 @t34) % 0.30/0.56 (assume-push @p140 @t40) % 0.30/0.56 (assume-push @p141 @t37) % 0.30/0.56 (step @p67 :rule evaluate :args ((= false true))) % 0.30/0.56 (step @p68 :rule true_intro :premises (@p59)) % 0.30/0.56 (step @p69 :rule symm :premises (@p140)) % 0.30/0.56 (step @p70 :rule cong :premises (@p69) :args (@t33)) % 0.30/0.56 (step @p71 :rule false_intro :premises (@p52)) % 0.30/0.56 (step @p72 :rule symm :premises (@p71)) % 0.30/0.56 (step @p73 :rule trans :premises (@p72 @p70 @p68)) % 0.30/0.56 (step @p74 false :rule eq_resolve :premises (@p73 @p67)) % 0.30/0.56 (step-pop @p142 :rule scope :premises (@p74)) % 0.30/0.56 (step-pop @p143 :rule scope :premises (@p142)) % 0.30/0.56 (step-pop @p144 :rule scope :premises (@p143)) % 0.30/0.56 (step @p75 :rule process_scope :premises (@p144) :args (false)) % 0.30/0.56 (assume-push @p145 @t34) % 0.30/0.56 (assume-push @p146 @t37) % 0.30/0.56 (assume-push @p147 @t40) % 0.30/0.56 (step @p82 :rule and_intro :premises (@p59 @p147 @p52)) % 0.30/0.56 (step-pop @p148 :rule scope :premises (@p82)) % 0.30/0.56 (step-pop @p149 :rule scope :premises (@p148)) % 0.30/0.56 (step-pop @p150 :rule scope :premises (@p149)) % 0.30/0.56 (step @p83 :rule process_scope :premises (@p150) :args (@t42)) % 0.30/0.56 (step @p87 :rule implies_elim :premises (@p83)) % 0.30/0.56 (step @p88 :rule resolution :premises (@p87 @p75) :args (true @t42)) % 0.30/0.56 (step @p89 :rule not_and :premises (@p88)) % 0.30/0.56 (step @p90 :rule eq_resolve :premises (@p89 @p63)) % 0.30/0.56 (step @p91 :rule chain_m_resolution :premises (@p90 @p59 @p52) :args (@t41 @t43 (@list @t34 @t33))) % 0.30/0.56 ; WARNING: add trust step for TRUST % 0.30/0.56 ; trust TRUST THEORY_LEMMA % 0.30/0.56 (step @p92 :rule trust :premises () :args ((or @t40 @t46))) % 0.30/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args (@t46 @t38 (@list @t40))) % 0.30/0.56 (step @p94 :rule and_elim :premises (@p47) :args (1)) % 0.30/0.56 (step @p95 :rule eq-symm :args (@t48 @t49)) % 0.30/0.56 (step @p96 :rule refl :args (@t50)) % 0.30/0.56 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t50 @t51))) % 0.30/0.56 (assume-push @p151 @t50) % 0.30/0.56 (step @p99 :rule instantiate :premises (@p94) :args ((@list @t47))) % 0.30/0.56 (step-pop @p152 :rule scope :premises (@p99)) % 0.30/0.56 (step @p100 :rule process_scope :premises (@p152) :args (@t51)) % 0.30/0.56 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.30/0.56 (step @p103 :rule implies_elim :premises (@p102)) % 0.30/0.56 (step @p104 :rule chain_m_resolution :premises (@p103 @p94) :args (@t52 @t53 (@list @t50))) % 0.30/0.56 ; trust TRUST THEORY_LEMMA % 0.30/0.56 (step @p105 :rule trust :premises () :args ((or @t54 (not @t52)))) % 0.30/0.56 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args (@t54 @t53 (@list @t52))) % 0.30/0.56 (assume-push @p153 @t55) % 0.30/0.56 (assume-push @p154 @t54) % 0.30/0.56 (assume-push @p155 @t55) % 0.30/0.56 (assume-push @p156 @t54) % 0.30/0.56 (step @p111 :rule refl :args (@t44)) % 0.37/0.56 (step @p112 :rule symm :premises (@p106)) % 0.37/0.56 (step @p113 :rule symm :premises (@p153)) % 0.37/0.56 (step @p114 :rule ho_cong :premises (@p113 @p112 @p111)) % 0.37/0.56 (step-pop @p157 :rule scope :premises (@p114)) % 0.37/0.56 (step-pop @p158 :rule scope :premises (@p157)) % 0.37/0.56 (step @p115 :rule process_scope :premises (@p158) :args (@t45)) % 0.37/0.56 (step @p118 :rule and_intro :premises (@p153 @p106)) % 0.37/0.56 (step @p119 :rule modus_ponens :premises (@p118 @p115)) % 0.37/0.56 (step-pop @p159 :rule scope :premises (@p119)) % 0.37/0.56 (step-pop @p160 :rule scope :premises (@p159)) % 0.37/0.56 (step @p120 :rule process_scope :premises (@p160) :args (@t45)) % 0.37/0.56 (step @p123 :rule implies_elim :premises (@p120)) % 0.37/0.56 (step @p124 :rule cnf_and_neg :args (@t56)) % 0.37/0.56 (step @p125 :rule resolution :premises (@p124 @p123) :args (true @t56)) % 0.37/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p106 @p93) :args ((not @t55) @t43 (@list @t54 @t45))) % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p127 :rule trust :premises () :args ((or @t55 @t62))) % 0.37/0.56 (step @p128 :rule chain_m_resolution :premises (@p127 @p126) :args (@t62 @t38 (@list @t55))) % 0.37/0.56 (step @p129 :rule eq-symm :args (@t59 @t60)) % 0.37/0.56 (step @p130 :rule refl :args (@t63)) % 0.37/0.56 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t63 @t64))) % 0.37/0.56 (assume-push @p161 @t63) % 0.37/0.56 (step @p133 :rule instantiate :premises (@p48) :args ((@list @t58 @t57))) % 0.37/0.56 (step-pop @p162 :rule scope :premises (@p133)) % 0.37/0.56 (step @p134 :rule process_scope :premises (@p162) :args (@t64)) % 0.37/0.56 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.37/0.56 (step @p137 :rule implies_elim :premises (@p136)) % 0.37/0.56 (step @p138 false :rule chain_m_resolution :premises (@p137 @p128 @p48) :args (false (@list true false) (@list @t61 @t63))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------