%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV406^5 : 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 : n026.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 08:55:54 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV406^5 : 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 % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:32:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----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 $$unsorted 0) % 0.29/0.55 (declare-const tptp.cP (-> (-> $$unsorted Bool) Bool)) % 0.29/0.55 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.29/0.55 (define @t1 () (@var "Xz" $$unsorted)) % 0.29/0.55 (define @t2 () (_ tptp.cA @t1)) % 0.29/0.55 (define @t3 () (_ tptp.cB @t1)) % 0.29/0.55 (define @t4 () (or @t3 @t2)) % 0.29/0.55 (define @t5 () (@list @t1)) % 0.29/0.55 (define @t6 () (lambda @t5 @t4)) % 0.29/0.55 (define @t7 () (or @t2 @t3)) % 0.29/0.55 (define @t8 () (lambda @t5 @t7)) % 0.29/0.55 (define @t9 () (=> (_ tptp.cP @t8) (_ tptp.cP @t6))) % 0.29/0.55 (define @t10 () (not @t9)) % 0.29/0.55 (define @t11 () (tptp.cB @t1)) % 0.29/0.55 (define @t12 () (tptp.cA @t1)) % 0.29/0.55 (define @t13 () (or @t12 @t11)) % 0.29/0.55 (define @t14 () (@purify @t8)) % 0.29/0.55 (define @t15 () (_ @t14 @t1)) % 0.29/0.55 (define @t16 () (= @t7 @t15)) % 0.29/0.55 (define @t17 () (_ @t8 @t1)) % 0.29/0.55 (define @t18 () (= @t15 @t17)) % 0.29/0.55 (define @t19 () (forall @t5 @t18)) % 0.29/0.55 (define @t20 () (@const 0 $$unsorted)) % 0.29/0.55 (define @t21 () (@list @t20)) % 0.29/0.55 (define @t22 () (@purify @t6)) % 0.29/0.55 (define @t23 () (tptp.cP @t22)) % 0.29/0.55 (define @t24 () (_ tptp.cP @t22)) % 0.29/0.55 (define @t25 () (tptp.cP @t14)) % 0.29/0.55 (define @t26 () (_ tptp.cP @t14)) % 0.29/0.55 (define @t27 () (= @t22 @t14)) % 0.29/0.55 (define @t28 () (not @t27)) % 0.29/0.55 (define @t29 () (not @t25)) % 0.29/0.55 (define @t30 () (not @t23)) % 0.29/0.55 (define @t31 () (and @t30 @t27 @t25)) % 0.29/0.55 (define @t32 () (@list true false)) % 0.29/0.55 (define @t33 () (_ @t14 @t20)) % 0.29/0.55 (define @t34 () (_ @t22 @t20)) % 0.29/0.55 (define @t35 () (= @t34 @t33)) % 0.29/0.55 (define @t36 () (not @t35)) % 0.29/0.55 (define @t37 () (@list true)) % 0.29/0.55 (define @t38 () (or @t11 @t12)) % 0.29/0.55 (define @t39 () (_ @t22 @t1)) % 0.29/0.55 (define @t40 () (= @t4 @t39)) % 0.29/0.55 (define @t41 () (_ @t6 @t1)) % 0.29/0.55 (define @t42 () (= @t39 @t41)) % 0.29/0.55 (define @t43 () (forall @t5 @t42)) % 0.29/0.55 (define @t44 () (tptp.cA @t20)) % 0.29/0.55 (define @t45 () (tptp.cB @t20)) % 0.29/0.55 (define @t46 () (or @t45 @t44)) % 0.29/0.55 (define @t47 () (= @t34 @t46)) % 0.29/0.55 (define @t48 () (not @t47)) % 0.29/0.55 (define @t49 () (not @t34)) % 0.29/0.55 (define @t50 () (or @t44 @t45)) % 0.29/0.55 (define @t51 () (= @t33 @t50)) % 0.29/0.55 (define @t52 () (not @t51)) % 0.29/0.55 (define @t53 () (not @t50)) % 0.29/0.55 (define @t54 () (not @t46)) % 0.29/0.55 (define @t55 () (@list @t46)) % 0.29/0.55 (assume @p1 @t10) % 0.29/0.55 (assume @p2 true) % 0.29/0.55 (step @p3 :rule eq-symm :args (@t13 @t15)) % 0.29/0.55 (step @p4 :rule cong :premises (@p3) :args ((forall @t5 (= @t13 @t15)))) % 0.29/0.55 (step @p5 :rule refl :args (@t15)) % 0.29/0.55 (step @p6 :rule refl :args (@t11)) % 0.29/0.55 (step @p7 :rule refl :args (@t3)) % 0.29/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t3 @t11))) % 0.29/0.55 (step @p9 :rule symm :premises (@p8)) % 0.29/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.29/0.55 (step @p11 :rule refl :args (@t12)) % 0.29/0.55 (step @p12 :rule refl :args (@t2)) % 0.29/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t2 @t12))) % 0.29/0.55 (step @p14 :rule symm :premises (@p13)) % 0.29/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.29/0.55 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t7)) % 0.29/0.55 (step @p17 :rule cong :premises (@p16 @p5) :args (@t16)) % 0.29/0.55 (step @p18 :rule cong :premises (@p17) :args ((forall @t5 @t16))) % 0.29/0.55 (step @p19 :rule trans :premises (@p18 @p4)) % 0.29/0.55 (step @p20 :rule eq-symm :args (@t15 @t7)) % 0.29/0.55 (step @p21 :rule beta-reduce :args ((= @t17 @t7))) % 0.29/0.55 (step @p22 :rule refl :args (@t15)) % 0.29/0.55 (step @p23 :rule cong :premises (@p22 @p21) :args (@t18)) % 0.29/0.55 (step @p24 :rule trans :premises (@p23 @p20)) % 0.29/0.55 (step @p25 :rule cong :premises (@p24) :args (@t19)) % 0.29/0.55 (step @p26 :rule trans :premises (@p25 @p19)) % 0.29/0.55 (step @p27 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 0.29/0.55 (step @p28 :rule eq-refl :args (@t17)) % 0.29/0.55 (step @p29 :rule cong :premises (@p28) :args ((forall @t5 (= @t17 @t17)))) % 0.29/0.55 (step @p30 :rule trans :premises (@p29 @p27)) % 0.29/0.55 (step @p31 :rule refl :args (@t17)) % 0.29/0.55 (step @p32 :rule refl :args (@t1)) % 0.29/0.55 (step @p33 :rule skolem_intro :args (@t14)) % 0.29/0.55 (step @p34 :rule ho_cong :premises (@p33 @p32)) % 0.29/0.55 (step @p35 :rule cong :premises (@p34 @p31) :args (@t18)) % 0.29/0.55 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.29/0.55 (step @p37 :rule trans :premises (@p36 @p30)) % 0.29/0.55 (step @p38 :rule true_elim :premises (@p37)) % 0.29/0.55 (step @p39 :rule eq_resolve :premises (@p38 @p26)) % 0.29/0.55 (step @p40 :rule instantiate :premises (@p39) :args (@t21)) % 0.29/0.55 (step @p41 :rule refl :args (@t23)) % 0.29/0.55 (step @p42 :rule refl :args (@t24)) % 0.29/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t24 @t23))) % 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 eq-refl :args (@t6)) % 0.29/0.55 (step @p47 :rule skolem_intro :args (@t22)) % 0.29/0.55 (step @p48 :rule refl :args (@t6)) % 0.29/0.55 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t6 @t22))) % 0.29/0.55 (step @p50 :rule trans :premises (@p49 @p46)) % 0.29/0.55 (step @p51 :rule true_elim :premises (@p50)) % 0.29/0.55 (step @p52 :rule refl :args (tptp.cP)) % 0.29/0.55 (step @p53 :rule ho_cong :premises (@p52 @p51)) % 0.29/0.55 (step @p54 :rule trans :premises (@p53 @p45)) % 0.29/0.55 (step @p55 :rule refl :args (@t25)) % 0.29/0.55 (step @p56 :rule refl :args (@t26)) % 0.29/0.55 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t26 @t25))) % 0.29/0.55 (step @p58 :rule symm :premises (@p57)) % 0.29/0.55 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.29/0.55 (step @p60 :rule eq-refl :args (@t8)) % 0.29/0.55 (step @p61 :rule refl :args (@t8)) % 0.29/0.55 (step @p62 :rule cong :premises (@p61 @p33) :args ((= @t8 @t14))) % 0.29/0.55 (step @p63 :rule trans :premises (@p62 @p60)) % 0.29/0.55 (step @p64 :rule true_elim :premises (@p63)) % 0.29/0.55 (step @p65 :rule ho_cong :premises (@p52 @p64)) % 0.29/0.55 (step @p66 :rule trans :premises (@p65 @p59)) % 0.29/0.55 (step @p67 :rule cong :premises (@p66 @p54) :args (@t9)) % 0.29/0.55 (step @p68 :rule cong :premises (@p67) :args (@t10)) % 0.29/0.55 (step @p69 :rule eq_resolve :premises (@p1 @p68)) % 0.29/0.55 (step @p70 :rule not_implies_elim1 :premises (@p69)) % 0.29/0.55 (step @p71 :rule not_implies_elim2 :premises (@p69)) % 0.29/0.55 (step @p72 :rule refl :args (@t28)) % 0.29/0.55 (step @p73 :rule bool-double-not-elim :args (@t23)) % 0.29/0.55 (step @p74 :rule refl :args (@t29)) % 0.29/0.55 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args ((or @t29 (not @t30) @t28))) % 0.29/0.55 (assume-push @p158 @t30) % 0.29/0.55 (assume-push @p159 @t27) % 0.29/0.55 (assume-push @p160 @t25) % 0.29/0.55 (step @p79 :rule evaluate :args ((= true false))) % 0.29/0.55 (step @p80 :rule false_intro :premises (@p71)) % 0.29/0.55 (step @p81 :rule symm :premises (@p159)) % 0.29/0.55 (step @p82 :rule cong :premises (@p81) :args (@t25)) % 0.29/0.55 (step @p83 :rule true_intro :premises (@p70)) % 0.29/0.55 (step @p84 :rule symm :premises (@p83)) % 0.29/0.55 (step @p85 :rule trans :premises (@p84 @p82 @p80)) % 0.29/0.55 (step @p86 false :rule eq_resolve :premises (@p85 @p79)) % 0.29/0.55 (step-pop @p161 :rule scope :premises (@p86)) % 0.29/0.55 (step-pop @p162 :rule scope :premises (@p161)) % 0.29/0.55 (step-pop @p163 :rule scope :premises (@p162)) % 0.29/0.55 (step @p87 :rule process_scope :premises (@p163) :args (false)) % 0.29/0.55 (assume-push @p164 @t25) % 0.29/0.55 (assume-push @p165 @t30) % 0.29/0.55 (assume-push @p166 @t27) % 0.29/0.55 (step @p94 :rule and_intro :premises (@p71 @p166 @p70)) % 0.29/0.55 (step-pop @p167 :rule scope :premises (@p94)) % 0.29/0.55 (step-pop @p168 :rule scope :premises (@p167)) % 0.29/0.55 (step-pop @p169 :rule scope :premises (@p168)) % 0.29/0.55 (step @p95 :rule process_scope :premises (@p169) :args (@t31)) % 0.29/0.55 (step @p99 :rule implies_elim :premises (@p95)) % 0.29/0.55 (step @p100 :rule resolution :premises (@p99 @p87) :args (true @t31)) % 0.29/0.55 (step @p101 :rule not_and :premises (@p100)) % 0.29/0.55 (step @p102 :rule eq_resolve :premises (@p101 @p75)) % 0.29/0.55 (step @p103 :rule reordering :premises (@p102) :args ((or @t23 @t29 @t28))) % 0.29/0.55 (step @p104 :rule chain_m_resolution :premises (@p103 @p71 @p70) :args (@t28 @t32 (@list @t23 @t25))) % 0.29/0.55 ; WARNING: add trust step for TRUST % 0.29/0.55 ; trust TRUST THEORY_LEMMA % 0.29/0.55 (step @p105 :rule trust :premises () :args ((or @t27 @t36))) % 0.29/0.55 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args (@t36 @t37 (@list @t27))) % 0.29/0.55 (step @p107 :rule cnf_equiv_neg2 :args (@t35)) % 0.29/0.55 (step @p108 :rule eq-symm :args (@t38 @t39)) % 0.29/0.55 (step @p109 :rule cong :premises (@p108) :args ((forall @t5 (= @t38 @t39)))) % 0.29/0.55 (step @p110 :rule refl :args (@t39)) % 0.29/0.55 (step @p111 :rule nary_cong :premises (@p10 @p15) :args (@t4)) % 0.29/0.55 (step @p112 :rule cong :premises (@p111 @p110) :args (@t40)) % 0.29/0.55 (step @p113 :rule cong :premises (@p112) :args ((forall @t5 @t40))) % 0.29/0.55 (step @p114 :rule trans :premises (@p113 @p109)) % 0.29/0.55 (step @p115 :rule eq-symm :args (@t39 @t4)) % 0.29/0.55 (step @p116 :rule beta-reduce :args ((= @t41 @t4))) % 0.29/0.55 (step @p117 :rule refl :args (@t39)) % 0.29/0.55 (step @p118 :rule cong :premises (@p117 @p116) :args (@t42)) % 0.29/0.55 (step @p119 :rule trans :premises (@p118 @p115)) % 0.29/0.55 (step @p120 :rule cong :premises (@p119) :args (@t43)) % 0.29/0.55 (step @p121 :rule trans :premises (@p120 @p114)) % 0.29/0.55 (step @p122 :rule eq-refl :args (@t41)) % 0.29/0.55 (step @p123 :rule cong :premises (@p122) :args ((forall @t5 (= @t41 @t41)))) % 0.36/0.55 (step @p124 :rule trans :premises (@p123 @p27)) % 0.36/0.55 (step @p125 :rule refl :args (@t41)) % 0.36/0.55 (step @p126 :rule ho_cong :premises (@p47 @p32)) % 0.36/0.55 (step @p127 :rule cong :premises (@p126 @p125) :args (@t42)) % 0.36/0.55 (step @p128 :rule cong :premises (@p127) :args (@t43)) % 0.36/0.55 (step @p129 :rule trans :premises (@p128 @p124)) % 0.36/0.55 (step @p130 :rule true_elim :premises (@p129)) % 0.36/0.55 (step @p131 :rule eq_resolve :premises (@p130 @p121)) % 0.36/0.55 (step @p132 :rule instantiate :premises (@p131) :args (@t21)) % 0.36/0.55 (step @p133 :rule cnf_equiv_pos1 :args (@t47)) % 0.36/0.55 (step @p134 :rule reordering :premises (@p133) :args ((or @t49 @t46 @t48))) % 0.36/0.55 (step @p135 :rule cnf_equiv_pos2 :args (@t51)) % 0.36/0.55 (step @p136 :rule reordering :premises (@p135) :args ((or @t33 @t53 @t52))) % 0.36/0.55 (step @p137 :rule cnf_or_neg :args (@t50 0)) % 0.36/0.55 (step @p138 :rule cnf_or_neg :args (@t50 1)) % 0.36/0.55 (step @p139 :rule cnf_or_pos :args (@t46)) % 0.36/0.55 (step @p140 :rule reordering :premises (@p139) :args ((or @t45 @t44 @t54))) % 0.36/0.55 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137 @p136 @p40 @p134 @p132 @p107 @p106) :args (@t49 (@list true true true false false false true true) (@list @t45 @t44 @t50 @t51 @t46 @t47 @t33 @t35))) % 0.36/0.55 (step @p142 :rule cnf_equiv_neg1 :args (@t35)) % 0.36/0.55 (step @p143 :rule reordering :premises (@p142) :args ((or @t34 @t33 @t35))) % 0.36/0.55 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p106) :args (@t33 (@list true true) (@list @t34 @t35))) % 0.36/0.55 (step @p145 :rule cnf_equiv_pos1 :args (@t51)) % 0.36/0.55 (step @p146 :rule reordering :premises (@p145) :args ((or (not @t33) @t50 @t52))) % 0.36/0.55 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p40) :args (@t50 (@list false false) (@list @t33 @t51))) % 0.36/0.55 (step @p148 :rule cnf_equiv_pos2 :args (@t47)) % 0.36/0.55 (step @p149 :rule reordering :premises (@p148) :args ((or @t34 @t54 @t48))) % 0.36/0.55 (step @p150 :rule chain_m_resolution :premises (@p149 @p141 @p132) :args (@t54 @t32 (@list @t34 @t47))) % 0.36/0.55 (step @p151 :rule cnf_or_neg :args (@t46 0)) % 0.36/0.55 (step @p152 :rule chain_m_resolution :premises (@p151 @p150) :args ((not @t45) @t37 @t55)) % 0.36/0.55 (step @p153 :rule cnf_or_neg :args (@t46 1)) % 0.36/0.55 (step @p154 :rule chain_m_resolution :premises (@p153 @p150) :args ((not @t44) @t37 @t55)) % 0.36/0.55 (step @p155 :rule cnf_or_pos :args (@t50)) % 0.36/0.55 (step @p156 :rule reordering :premises (@p155) :args ((or @t45 @t44 @t53))) % 0.36/0.55 (step @p157 false :rule chain_m_resolution :premises (@p156 @p154 @p152 @p147) :args (false (@list true true false) (@list @t44 @t45 @t50))) % 0.36/0.55 ) % 0.36/0.55 % SZS output end Proof % 0.36/0.55 % cvc5 exiting %------------------------------------------------------------------------------