%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT019-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:09:27 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.49s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : CAT019-3 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.13/0.31 % Computer : n017.cluster.edu % 0.13/0.31 % Model : x86_64 x86_64 % 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.31 % Memory : 8042.1875MB % 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.31 % CPULimit : 300 % 0.13/0.31 % WCLimit : 300 % 0.13/0.31 % DateTime : Wed Jun 3 02:54:31 EDT 2026 % 0.13/0.31 % CPUTime : % 0.19/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.49 % SZS status Unsatisfiable % 0.28/0.49 % SZS output start Proof % 0.28/0.50 ( % 0.28/0.50 (declare-sort $$unsorted 0) % 0.28/0.50 (declare-const tptp.b $$unsorted) % 0.28/0.50 (declare-const tptp.a $$unsorted) % 0.28/0.50 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.50 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.28/0.50 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.28/0.50 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.28/0.50 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.50 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.28/0.50 (define @t1 () (@var "X" $$unsorted)) % 0.28/0.50 (define @t2 () (tptp.there_exists @t1)) % 0.28/0.50 (define @t3 () (@var "Y" $$unsorted)) % 0.28/0.50 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.28/0.50 (define @t5 () (not @t4)) % 0.28/0.50 (define @t6 () (@list @t1 @t3)) % 0.28/0.50 (define @t7 () (= @t1 @t3)) % 0.28/0.50 (define @t8 () (not @t7)) % 0.28/0.50 (define @t9 () (not @t2)) % 0.28/0.50 (define @t10 () (tptp.domain @t1)) % 0.28/0.50 (define @t11 () (tptp.there_exists @t10)) % 0.28/0.50 (define @t12 () (not @t11)) % 0.28/0.50 (define @t13 () (@list @t1)) % 0.28/0.50 (define @t14 () (tptp.codomain @t1)) % 0.28/0.50 (define @t15 () (tptp.there_exists @t14)) % 0.28/0.50 (define @t16 () (tptp.compose @t1 @t3)) % 0.28/0.50 (define @t17 () (tptp.there_exists @t16)) % 0.28/0.50 (define @t18 () (not @t17)) % 0.28/0.50 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.28/0.50 (define @t20 () (@var "Z" $$unsorted)) % 0.28/0.50 (define @t21 () (tptp.there_exists @t3)) % 0.28/0.50 (define @t22 () (tptp.f1 @t1 @t3)) % 0.28/0.50 (define @t23 () (= @t3 @t22)) % 0.28/0.50 (define @t24 () (= @t1 @t22)) % 0.28/0.50 (define @t25 () (= tptp.b @t20)) % 0.28/0.50 (define @t26 () (= tptp.a @t20)) % 0.28/0.50 (define @t27 () (not @t26)) % 0.28/0.50 (define @t28 () (not (tptp.there_exists @t20))) % 0.28/0.50 (define @t29 () (or @t28 @t27 @t25)) % 0.28/0.50 (define @t30 () (@list @t20)) % 0.28/0.50 (define @t31 () (forall @t30 @t29)) % 0.28/0.50 (define @t32 () (not @t25)) % 0.28/0.50 (define @t33 () (or @t28 @t26 @t32)) % 0.28/0.50 (define @t34 () (forall @t30 @t33)) % 0.28/0.50 (define @t35 () (= tptp.a tptp.b)) % 0.28/0.50 (define @t36 () (tptp.there_exists tptp.b)) % 0.28/0.50 (define @t37 () (not @t36)) % 0.28/0.50 (define @t38 () (not (= tptp.b tptp.b))) % 0.28/0.50 (define @t39 () (or @t37 (= tptp.b tptp.a) @t38)) % 0.28/0.50 (define @t40 () (= @t20 tptp.b)) % 0.28/0.50 (define @t41 () (not @t40)) % 0.28/0.50 (define @t42 () (= @t20 tptp.a)) % 0.28/0.50 (define @t43 () (or @t41 @t28 @t42 @t41)) % 0.28/0.50 (define @t44 () (or @t28 @t42 @t41)) % 0.28/0.50 (define @t45 () (@list true)) % 0.28/0.50 (define @t46 () (@list @t35)) % 0.28/0.50 (define @t47 () (@list tptp.a tptp.b)) % 0.28/0.50 (define @t48 () (tptp.f1 tptp.a tptp.b)) % 0.28/0.50 (define @t49 () (tptp.there_exists @t48)) % 0.28/0.50 (define @t50 () (or @t49 @t35)) % 0.28/0.50 (define @t51 () (@list true false)) % 0.28/0.50 (define @t52 () (tptp.there_exists tptp.a)) % 0.28/0.50 (define @t53 () (not @t52)) % 0.28/0.50 (define @t54 () (not (= tptp.a tptp.a))) % 0.28/0.50 (define @t55 () (or @t53 @t54 @t35)) % 0.28/0.50 (define @t56 () (not @t42)) % 0.28/0.50 (define @t57 () (or @t56 @t28 @t56 @t40)) % 0.28/0.50 (define @t58 () (or @t28 @t56 @t40)) % 0.28/0.50 (define @t59 () (= tptp.a @t48)) % 0.28/0.50 (define @t60 () (not @t59)) % 0.28/0.50 (define @t61 () (not @t49)) % 0.28/0.50 (define @t62 () (= true false)) % 0.28/0.50 (define @t63 () (and @t53 @t59 @t49)) % 0.28/0.50 (define @t64 () (= tptp.b @t48)) % 0.28/0.50 (define @t65 () (or @t59 @t64 @t35)) % 0.28/0.50 (define @t66 () (not @t64)) % 0.28/0.50 (define @t67 () (and @t37 @t64 @t49)) % 0.28/0.50 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.28/0.50 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.28/0.50 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.28/0.50 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.28/0.50 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.28/0.50 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.28/0.50 (assume @p7 (forall @t6 (or @t18 @t19))) % 0.28/0.50 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.28/0.50 (assume @p9 (forall (@list @t1 @t3 @t20) (= (tptp.compose @t1 (tptp.compose @t3 @t20)) (tptp.compose @t16 @t20)))) % 0.28/0.50 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 0.28/0.50 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.28/0.50 (assume @p12 (forall @t6 (or @t5 @t21))) % 0.28/0.50 (assume @p13 (forall @t6 (or @t9 (not @t21) @t8 @t4))) % 0.28/0.50 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.28/0.50 (assume @p15 (forall @t6 (or (tptp.there_exists @t22) @t7))) % 0.28/0.50 (assume @p16 (forall @t6 (or @t24 @t23 @t7))) % 0.28/0.50 (assume @p17 (forall @t6 (or (not @t24) (not @t23) @t7))) % 0.28/0.50 (assume @p18 @t31) % 0.28/0.50 (assume @p19 @t34) % 0.28/0.50 (assume @p20 (not @t35)) % 0.28/0.50 (step @p21 :rule aci_norm :args ((= (or @t37 @t35 false) (or @t37 @t35)))) % 0.28/0.50 (step @p22 :rule evaluate :args ((not true))) % 0.28/0.50 (step @p23 :rule eq-refl :args (tptp.b)) % 0.28/0.50 (step @p24 :rule cong :premises (@p23) :args (@t38)) % 0.28/0.50 (step @p25 :rule trans :premises (@p24 @p22)) % 0.28/0.50 (step @p26 :rule eq-symm :args (tptp.b tptp.a)) % 0.28/0.50 (step @p27 :rule refl :args (@t37)) % 0.28/0.50 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t39)) % 0.28/0.50 (step @p29 :rule trans :premises (@p28 @p21)) % 0.28/0.50 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t30 @t43) @t39))) % 0.28/0.50 (step @p31 :rule aci_norm :args ((= @t44 @t43))) % 0.28/0.50 (step @p32 :rule cong :premises (@p31) :args ((forall @t30 @t44))) % 0.28/0.50 (step @p33 :rule trans :premises (@p32 @p30)) % 0.28/0.50 (step @p34 :rule trans :premises (@p33 @p29)) % 0.28/0.50 (step @p35 :rule eq-symm :args (tptp.b @t20)) % 0.28/0.50 (step @p36 :rule cong :premises (@p35) :args (@t32)) % 0.28/0.50 (step @p37 :rule eq-symm :args (tptp.a @t20)) % 0.28/0.50 (step @p38 :rule refl :args (@t28)) % 0.28/0.50 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t33)) % 0.28/0.50 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.28/0.50 (step @p41 :rule trans :premises (@p40 @p34)) % 0.28/0.50 (step @p42 :rule eq_resolve :premises (@p19 @p41)) % 0.28/0.50 (step @p43 :rule reordering :premises (@p42) :args ((or @t35 @t37))) % 0.28/0.50 (step @p44 :rule chain_m_resolution :premises (@p43 @p20) :args (@t37 @t45 @t46)) % 0.28/0.50 (step @p45 :rule instantiate :premises (@p15) :args (@t47)) % 0.28/0.50 (step @p46 :rule cnf_or_pos :args (@t50)) % 0.28/0.50 (step @p47 :rule reordering :premises (@p46) :args ((or @t35 @t49 (not @t50)))) % 0.28/0.50 (step @p48 :rule chain_m_resolution :premises (@p47 @p20 @p45) :args (@t49 @t51 (@list @t35 @t50))) % 0.28/0.50 (step @p49 :rule instantiate :premises (@p16) :args (@t47)) % 0.28/0.50 (step @p50 :rule aci_norm :args ((= (or @t53 false @t35) (or @t53 @t35)))) % 0.28/0.50 (step @p51 :rule refl :args (@t35)) % 0.28/0.50 (step @p52 :rule eq-refl :args (tptp.a)) % 0.28/0.50 (step @p53 :rule cong :premises (@p52) :args (@t54)) % 0.28/0.50 (step @p54 :rule trans :premises (@p53 @p22)) % 0.28/0.50 (step @p55 :rule refl :args (@t53)) % 0.28/0.50 (step @p56 :rule nary_cong :premises (@p55 @p54 @p51) :args (@t55)) % 0.28/0.50 (step @p57 :rule trans :premises (@p56 @p50)) % 0.28/0.50 (step @p58 :rule quant-var-elim-eq :args ((= (forall @t30 @t57) @t55))) % 0.28/0.50 (step @p59 :rule aci_norm :args ((= @t58 @t57))) % 0.28/0.50 (step @p60 :rule cong :premises (@p59) :args ((forall @t30 @t58))) % 0.28/0.50 (step @p61 :rule trans :premises (@p60 @p58)) % 0.28/0.50 (step @p62 :rule trans :premises (@p61 @p57)) % 0.28/0.50 (step @p63 :rule cong :premises (@p37) :args (@t27)) % 0.28/0.50 (step @p64 :rule nary_cong :premises (@p38 @p63 @p35) :args (@t29)) % 0.28/0.50 (step @p65 :rule cong :premises (@p64) :args (@t31)) % 0.28/0.50 (step @p66 :rule trans :premises (@p65 @p62)) % 0.28/0.50 (step @p67 :rule eq_resolve :premises (@p18 @p66)) % 0.28/0.50 (step @p68 :rule reordering :premises (@p67) :args ((or @t35 @t53))) % 0.28/0.50 (step @p69 :rule chain_m_resolution :premises (@p68 @p20) :args (@t53 @t45 @t46)) % 0.28/0.50 (step @p70 :rule refl :args (@t60)) % 0.28/0.50 (step @p71 :rule refl :args (@t61)) % 0.28/0.50 (step @p72 :rule bool-double-not-elim :args (@t52)) % 0.28/0.50 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args ((or (not @t53) @t61 @t60))) % 0.28/0.50 (assume-push @p135 @t53) % 0.28/0.50 (assume-push @p136 @t59) % 0.28/0.50 (assume-push @p137 @t49) % 0.28/0.50 (step @p77 :rule evaluate :args (@t62)) % 0.28/0.50 (step @p78 :rule false_intro :premises (@p69)) % 0.28/0.50 (step @p79 :rule symm :premises (@p136)) % 0.28/0.50 (step @p80 :rule cong :premises (@p79) :args (@t49)) % 0.28/0.50 (step @p81 :rule true_intro :premises (@p48)) % 0.28/0.50 (step @p82 :rule symm :premises (@p81)) % 0.28/0.50 (step @p83 :rule trans :premises (@p82 @p80 @p78)) % 0.28/0.50 (step @p84 false :rule eq_resolve :premises (@p83 @p77)) % 0.28/0.50 (step-pop @p138 :rule scope :premises (@p84)) % 0.28/0.50 (step-pop @p139 :rule scope :premises (@p138)) % 0.28/0.50 (step-pop @p140 :rule scope :premises (@p139)) % 0.28/0.50 (step @p85 :rule process_scope :premises (@p140) :args (false)) % 0.28/0.50 (assume-push @p141 @t53) % 0.28/0.50 (assume-push @p142 @t49) % 0.28/0.50 (assume-push @p143 @t59) % 0.28/0.50 (step @p92 :rule and_intro :premises (@p69 @p143 @p48)) % 0.28/0.50 (step-pop @p144 :rule scope :premises (@p92)) % 0.28/0.50 (step-pop @p145 :rule scope :premises (@p144)) % 0.28/0.50 (step-pop @p146 :rule scope :premises (@p145)) % 0.28/0.50 (step @p93 :rule process_scope :premises (@p146) :args (@t63)) % 0.28/0.50 (step @p97 :rule implies_elim :premises (@p93)) % 0.28/0.50 (step @p98 :rule resolution :premises (@p97 @p85) :args (true @t63)) % 0.28/0.50 (step @p99 :rule not_and :premises (@p98)) % 0.28/0.50 (step @p100 :rule eq_resolve :premises (@p99 @p73)) % 0.28/0.50 (step @p101 :rule reordering :premises (@p100) :args ((or @t52 @t60 @t61))) % 0.28/0.50 (step @p102 :rule chain_m_resolution :premises (@p101 @p69 @p48) :args (@t60 @t51 (@list @t52 @t49))) % 0.28/0.50 (step @p103 :rule cnf_or_pos :args (@t65)) % 0.28/0.50 (step @p104 :rule reordering :premises (@p103) :args ((or @t35 @t59 @t64 (not @t65)))) % 0.28/0.50 (step @p105 :rule chain_m_resolution :premises (@p104 @p20 @p102 @p49) :args (@t64 (@list true true false) (@list @t35 @t59 @t65))) % 0.28/0.50 (step @p106 :rule refl :args (@t66)) % 0.28/0.50 (step @p107 :rule bool-double-not-elim :args (@t36)) % 0.28/0.50 (step @p108 :rule nary_cong :premises (@p107 @p71 @p106) :args ((or (not @t37) @t61 @t66))) % 0.28/0.50 (assume-push @p147 @t37) % 0.28/0.50 (assume-push @p148 @t64) % 0.28/0.50 (assume-push @p149 @t49) % 0.28/0.50 (step @p77 :rule evaluate :args (@t62)) % 0.28/0.50 (step @p112 :rule false_intro :premises (@p44)) % 0.28/0.50 (step @p113 :rule symm :premises (@p148)) % 0.28/0.50 (step @p114 :rule cong :premises (@p113) :args (@t49)) % 0.28/0.50 (step @p81 :rule true_intro :premises (@p48)) % 0.28/0.50 (step @p82 :rule symm :premises (@p81)) % 0.28/0.50 (step @p115 :rule trans :premises (@p82 @p114 @p112)) % 0.28/0.50 (step @p116 false :rule eq_resolve :premises (@p115 @p77)) % 0.28/0.50 (step-pop @p150 :rule scope :premises (@p116)) % 0.28/0.50 (step-pop @p151 :rule scope :premises (@p150)) % 0.28/0.50 (step-pop @p152 :rule scope :premises (@p151)) % 0.28/0.50 (step @p117 :rule process_scope :premises (@p152) :args (false)) % 0.28/0.50 (assume-push @p153 @t37) % 0.28/0.50 (assume-push @p154 @t49) % 0.28/0.50 (assume-push @p155 @t64) % 0.28/0.50 (step @p124 :rule and_intro :premises (@p44 @p155 @p48)) % 0.28/0.50 (step-pop @p156 :rule scope :premises (@p124)) % 0.28/0.50 (step-pop @p157 :rule scope :premises (@p156)) % 0.28/0.50 (step-pop @p158 :rule scope :premises (@p157)) % 0.28/0.50 (step @p125 :rule process_scope :premises (@p158) :args (@t67)) % 0.28/0.50 (step @p129 :rule implies_elim :premises (@p125)) % 0.28/0.50 (step @p130 :rule resolution :premises (@p129 @p117) :args (true @t67)) % 0.28/0.50 (step @p131 :rule not_and :premises (@p130)) % 0.28/0.50 (step @p132 :rule eq_resolve :premises (@p131 @p108)) % 0.28/0.50 (step @p133 :rule reordering :premises (@p132) :args ((or @t36 @t66 @t61))) % 0.28/0.50 (step @p134 false :rule chain_m_resolution :premises (@p133 @p105 @p48 @p44) :args (false (@list false false true) (@list @t64 @t49 @t36))) % 0.28/0.50 ) % 0.28/0.50 % SZS output end Proof % 0.28/0.50 % cvc5 exiting %------------------------------------------------------------------------------