%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT044-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:29:40 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.73s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT044-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 : Tue Jun 2 05:45:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.73 % SZS status Unsatisfiable % 0.53/0.73 % SZS output start Proof % 0.53/0.73 ( % 0.53/0.73 (declare-sort $$unsorted 0) % 0.53/0.73 (declare-const tptp.b $$unsorted) % 0.53/0.73 (declare-const tptp.n0 $$unsorted) % 0.53/0.73 (declare-const tptp.n1 $$unsorted) % 0.53/0.73 (declare-const tptp.a $$unsorted) % 0.53/0.73 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (define @t1 () (@var "X" $$unsorted)) % 0.53/0.73 (define @t2 () (@list @t1)) % 0.53/0.73 (define @t3 () (tptp.join @t1 @t1)) % 0.53/0.73 (define @t4 () (forall @t2 (= @t3 @t1))) % 0.53/0.73 (define @t5 () (@var "Y" $$unsorted)) % 0.53/0.73 (define @t6 () (tptp.join @t1 @t5)) % 0.53/0.73 (define @t7 () (tptp.meet @t1 @t6)) % 0.53/0.73 (define @t8 () (@list @t1 @t5)) % 0.53/0.73 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.53/0.73 (define @t10 () (tptp.meet @t1 @t5)) % 0.53/0.73 (define @t11 () (tptp.join @t1 @t10)) % 0.53/0.73 (define @t12 () (forall @t8 (= @t11 @t1))) % 0.53/0.73 (define @t13 () (@var "Z" $$unsorted)) % 0.53/0.73 (define @t14 () (@list @t1 @t5 @t13)) % 0.53/0.73 (define @t15 () (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 0.53/0.73 (define @t16 () (tptp.complement @t5)) % 0.53/0.73 (define @t17 () (tptp.complement @t1)) % 0.53/0.73 (define @t18 () (forall @t8 (= (tptp.complement @t10) (tptp.join @t17 @t16)))) % 0.53/0.73 (define @t19 () (tptp.join @t17 @t1)) % 0.53/0.73 (define @t20 () (forall @t2 (= @t19 tptp.n1))) % 0.53/0.73 (define @t21 () (tptp.complement @t17)) % 0.53/0.73 (define @t22 () (forall @t2 (= @t21 @t1))) % 0.53/0.73 (define @t23 () (tptp.join @t1 (tptp.meet @t17 @t6))) % 0.53/0.73 (define @t24 () (forall @t8 (= @t23 @t6))) % 0.53/0.73 (define @t25 () (tptp.meet tptp.a tptp.b)) % 0.53/0.73 (define @t26 () (tptp.complement tptp.b)) % 0.53/0.73 (define @t27 () (tptp.join tptp.a tptp.b)) % 0.53/0.73 (define @t28 () (tptp.complement tptp.a)) % 0.53/0.73 (define @t29 () (tptp.meet @t28 @t27)) % 0.53/0.73 (define @t30 () (tptp.join @t29 (tptp.join @t26 @t25))) % 0.53/0.73 (define @t31 () (@list tptp.a tptp.b)) % 0.53/0.73 (define @t32 () (tptp.join @t29 @t26)) % 0.53/0.73 (define @t33 () (tptp.join @t32 @t25)) % 0.53/0.73 (define @t34 () (= @t33 @t30)) % 0.53/0.73 (define @t35 () (@list @t29 @t26 @t25)) % 0.53/0.73 (define @t36 () (= @t30 @t33)) % 0.53/0.73 (define @t37 () (@list false)) % 0.53/0.73 (define @t38 () (@list @t28 @t26)) % 0.53/0.73 (define @t39 () (@list @t25)) % 0.53/0.73 (define @t40 () (@list @t27 tptp.b)) % 0.53/0.73 (define @t41 () (tptp.meet @t28 @t26)) % 0.53/0.73 (define @t42 () (tptp.complement @t25)) % 0.53/0.73 (define @t43 () (tptp.meet @t27 tptp.b)) % 0.53/0.73 (define @t44 () (tptp.complement @t43)) % 0.53/0.73 (define @t45 () (tptp.complement @t27)) % 0.53/0.73 (define @t46 () (tptp.join @t45 @t26)) % 0.53/0.73 (define @t47 () (= @t44 @t46)) % 0.53/0.73 (define @t48 () (= @t46 @t44)) % 0.53/0.73 (define @t49 () (tptp.join tptp.a @t25)) % 0.53/0.73 (define @t50 () (= tptp.a @t49)) % 0.53/0.73 (define @t51 () (= @t29 (tptp.meet @t27 @t28))) % 0.53/0.73 (define @t52 () (tptp.join tptp.b tptp.a)) % 0.53/0.73 (define @t53 () (= @t27 @t52)) % 0.53/0.73 (define @t54 () (= @t45 @t41)) % 0.53/0.73 (define @t55 () (tptp.join @t28 @t26)) % 0.53/0.73 (define @t56 () (= @t42 @t55)) % 0.53/0.73 (define @t57 () (= tptp.b (tptp.meet tptp.b @t52))) % 0.53/0.73 (define @t58 () (tptp.join @t28 @t41)) % 0.53/0.73 (define @t59 () (= @t28 @t58)) % 0.53/0.73 (define @t60 () (= @t33 (tptp.join @t25 @t32))) % 0.53/0.73 (define @t61 () (tptp.complement @t26)) % 0.53/0.73 (define @t62 () (tptp.complement @t28)) % 0.53/0.73 (define @t63 () (tptp.join @t62 @t61)) % 0.53/0.73 (define @t64 () (= (tptp.complement @t41) @t63)) % 0.53/0.73 (define @t65 () (tptp.join @t42 @t25)) % 0.53/0.73 (define @t66 () (= tptp.n1 @t65)) % 0.53/0.73 (define @t67 () (= tptp.b @t61)) % 0.53/0.73 (define @t68 () (= tptp.a @t62)) % 0.53/0.73 (define @t69 () (tptp.join @t25 @t25)) % 0.53/0.73 (define @t70 () (= @t25 @t69)) % 0.53/0.73 (define @t71 () (tptp.meet tptp.b @t27)) % 0.53/0.73 (define @t72 () (= @t43 @t71)) % 0.53/0.73 (define @t73 () (= @t58 (tptp.join @t41 @t28))) % 0.53/0.73 (define @t74 () (tptp.join @t25 @t42)) % 0.53/0.73 (define @t75 () (= @t65 @t74)) % 0.53/0.73 (define @t76 () (tptp.join @t29 @t41)) % 0.53/0.73 (define @t77 () (= (tptp.join @t41 @t29) @t76)) % 0.53/0.73 (define @t78 () (tptp.join @t29 @t46)) % 0.53/0.73 (define @t79 () (= (tptp.join (tptp.join @t29 @t45) @t26) @t78)) % 0.53/0.73 (define @t80 () (tptp.join @t45 @t28)) % 0.53/0.73 (define @t81 () (tptp.complement @t45)) % 0.53/0.73 (define @t82 () (tptp.meet @t81 @t80)) % 0.53/0.73 (define @t83 () (tptp.join @t45 @t82)) % 0.53/0.73 (define @t84 () (= @t80 @t83)) % 0.53/0.73 (define @t85 () (= tptp.n1 @t30)) % 0.53/0.73 (define @t86 () (and @t50 @t51 @t53 @t36 @t54 @t56 @t57 @t59 @t60 @t64 @t66 @t67 @t68 @t70 @t72 @t73 @t75 @t48 @t77 @t79 @t84)) % 0.53/0.73 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.53/0.73 (assume @p2 @t4) % 0.53/0.73 (assume @p3 @t9) % 0.53/0.73 (assume @p4 @t12) % 0.53/0.73 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 0.53/0.73 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 0.53/0.73 (assume @p7 (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 0.53/0.73 (assume @p8 @t15) % 0.53/0.73 (assume @p9 (forall @t8 (= (tptp.complement @t6) (tptp.meet @t17 @t16)))) % 0.53/0.73 (assume @p10 @t18) % 0.53/0.73 (assume @p11 @t20) % 0.53/0.73 (assume @p12 (forall @t2 (= (tptp.meet @t17 @t1) tptp.n0))) % 0.53/0.73 (assume @p13 @t22) % 0.53/0.73 (assume @p14 @t24) % 0.53/0.73 (assume @p15 (not (= @t30 tptp.n1))) % 0.53/0.73 (step @p16 :rule symm :premises (@p15)) % 0.53/0.73 (step @p17 :rule eq-symm :args (@t11 @t1)) % 0.53/0.73 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 0.53/0.73 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 0.53/0.73 (step @p20 :rule instantiate :premises (@p19) :args (@t31)) % 0.53/0.73 (step @p21 :rule instantiate :premises (@p5) :args ((@list @t28 @t27))) % 0.53/0.73 (step @p22 :rule instantiate :premises (@p6) :args (@t31)) % 0.53/0.73 (step @p23 :rule eq-symm :args (@t33 @t30)) % 0.53/0.73 (step @p24 :rule refl :args (@t15)) % 0.53/0.73 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t15 @t34))) % 0.53/0.73 (assume-push @p162 @t15) % 0.53/0.73 (step @p27 :rule instantiate :premises (@p8) :args (@t35)) % 0.53/0.73 (step-pop @p163 :rule scope :premises (@p27)) % 0.53/0.73 (step @p28 :rule process_scope :premises (@p163) :args (@t34)) % 0.53/0.73 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.53/0.73 (step @p31 :rule implies_elim :premises (@p30)) % 0.53/0.73 (step @p32 :rule chain_m_resolution :premises (@p31 @p8) :args (@t36 @t37 (@list @t15))) % 0.53/0.73 (step @p33 :rule instantiate :premises (@p9) :args (@t31)) % 0.53/0.73 (step @p34 :rule instantiate :premises (@p10) :args (@t31)) % 0.53/0.73 (step @p35 :rule eq-symm :args (@t7 @t1)) % 0.53/0.73 (step @p36 :rule cong :premises (@p35) :args (@t9)) % 0.53/0.73 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 0.53/0.73 (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.b tptp.a))) % 0.53/0.73 (step @p39 :rule instantiate :premises (@p19) :args (@t38)) % 0.53/0.73 (step @p40 :rule instantiate :premises (@p6) :args ((@list @t32 @t25))) % 0.53/0.73 (step @p41 :rule instantiate :premises (@p10) :args (@t38)) % 0.53/0.73 (step @p42 :rule eq-symm :args (@t19 tptp.n1)) % 0.53/0.73 (step @p43 :rule cong :premises (@p42) :args (@t20)) % 0.53/0.73 (step @p44 :rule eq_resolve :premises (@p11 @p43)) % 0.53/0.73 (step @p45 :rule instantiate :premises (@p44) :args (@t39)) % 0.53/0.73 (step @p46 :rule eq-symm :args (@t21 @t1)) % 0.53/0.73 (step @p47 :rule cong :premises (@p46) :args (@t22)) % 0.53/0.73 (step @p48 :rule eq_resolve :premises (@p13 @p47)) % 0.53/0.73 (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.b))) % 0.53/0.73 (step @p50 :rule instantiate :premises (@p48) :args ((@list tptp.a))) % 0.53/0.73 (step @p51 :rule eq-symm :args (@t3 @t1)) % 0.53/0.73 (step @p52 :rule cong :premises (@p51) :args (@t4)) % 0.53/0.73 (step @p53 :rule eq_resolve :premises (@p2 @p52)) % 0.53/0.73 (step @p54 :rule instantiate :premises (@p53) :args (@t39)) % 0.53/0.73 (step @p55 :rule instantiate :premises (@p5) :args (@t40)) % 0.53/0.73 (step @p56 :rule instantiate :premises (@p6) :args ((@list @t28 @t41))) % 0.53/0.73 (step @p57 :rule instantiate :premises (@p6) :args ((@list @t42 @t25))) % 0.53/0.73 (step @p58 :rule eq-symm :args (@t44 @t46)) % 0.53/0.73 (step @p59 :rule refl :args (@t18)) % 0.53/0.73 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t18 @t47))) % 0.53/0.73 (assume-push @p164 @t18) % 0.53/0.73 (step @p62 :rule instantiate :premises (@p10) :args (@t40)) % 0.53/0.73 (step-pop @p165 :rule scope :premises (@p62)) % 0.53/0.73 (step @p63 :rule process_scope :premises (@p165) :args (@t47)) % 0.53/0.73 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.53/0.73 (step @p66 :rule implies_elim :premises (@p65)) % 0.53/0.73 (step @p67 :rule chain_m_resolution :premises (@p66 @p10) :args (@t48 @t37 (@list @t18))) % 0.53/0.73 (step @p68 :rule instantiate :premises (@p6) :args ((@list @t41 @t29))) % 0.53/0.73 (step @p69 :rule instantiate :premises (@p8) :args ((@list @t29 @t45 @t26))) % 0.53/0.73 (step @p70 :rule eq-symm :args (@t23 @t6)) % 0.53/0.73 (step @p71 :rule cong :premises (@p70) :args (@t24)) % 0.53/0.73 (step @p72 :rule eq_resolve :premises (@p14 @p71)) % 0.53/0.73 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t45 @t28))) % 0.53/0.73 (assume-push @p166 @t50) % 0.53/0.73 (assume-push @p167 @t51) % 0.53/0.73 (assume-push @p168 @t53) % 0.53/0.73 (assume-push @p169 @t36) % 0.53/0.73 (assume-push @p170 @t54) % 0.53/0.73 (assume-push @p171 @t56) % 0.53/0.73 (assume-push @p172 @t57) % 0.53/0.73 (assume-push @p173 @t59) % 0.53/0.73 (assume-push @p174 @t60) % 0.53/0.73 (assume-push @p175 @t64) % 0.53/0.73 (assume-push @p176 @t66) % 0.53/0.73 (assume-push @p177 @t67) % 0.53/0.73 (assume-push @p178 @t68) % 0.53/0.73 (assume-push @p179 @t70) % 0.53/0.73 (assume-push @p180 @t72) % 0.53/0.73 (assume-push @p181 @t73) % 0.53/0.73 (assume-push @p182 @t75) % 0.53/0.73 (assume-push @p183 @t48) % 0.53/0.73 (assume-push @p184 @t77) % 0.53/0.73 (assume-push @p185 @t79) % 0.53/0.73 (assume-push @p186 @t84) % 0.53/0.73 (step @p27 :rule instantiate :premises (@p8) :args (@t35)) % 0.53/0.73 (step @p95 :rule symm :premises (@p40)) % 0.53/0.73 (step @p96 :rule refl :args (@t32)) % 0.53/0.73 (step @p97 :rule symm :premises (@p54)) % 0.53/0.73 (step @p98 :rule cong :premises (@p97 @p96) :args ((tptp.join @t69 @t32))) % 0.53/0.73 (step @p99 :rule symm :premises (@p49)) % 0.53/0.73 (step @p100 :rule cong :premises (@p99) :args ((tptp.complement @t61))) % 0.53/0.73 (step @p101 :rule symm :premises (@p38)) % 0.53/0.73 (step @p102 :rule refl :args (tptp.b)) % 0.53/0.73 (step @p103 :rule cong :premises (@p102 @p22) :args (@t71)) % 0.53/0.73 (step @p104 :rule trans :premises (@p55 @p103 @p101 @p49)) % 0.53/0.73 (step @p105 :rule cong :premises (@p104) :args (@t44)) % 0.53/0.73 (step @p106 :rule trans :premises (@p67 @p105 @p100)) % 0.53/0.73 (step @p107 :rule refl :args (@t29)) % 0.53/0.73 (step @p108 :rule cong :premises (@p107 @p106) :args (@t78)) % 0.53/0.73 (step @p109 :rule refl :args (@t26)) % 0.53/0.73 (step @p110 :rule symm :premises (@p33)) % 0.53/0.73 (step @p111 :rule cong :premises (@p107 @p110) :args (@t76)) % 0.53/0.73 (step @p112 :rule symm :premises (@p21)) % 0.53/0.73 (step @p113 :rule symm :premises (@p39)) % 0.53/0.73 (step @p114 :rule symm :premises (@p56)) % 0.53/0.73 (step @p115 :rule refl :args (@t28)) % 0.53/0.73 (step @p116 :rule cong :premises (@p33 @p115) :args (@t80)) % 0.53/0.73 (step @p117 :rule trans :premises (@p116 @p114 @p113)) % 0.53/0.73 (step @p118 :rule symm :premises (@p20)) % 0.53/0.73 (step @p119 :rule cong :premises (@p118 @p102) :args ((tptp.join @t49 tptp.b))) % 0.53/0.73 (step @p120 :rule symm :premises (@p50)) % 0.53/0.73 (step @p121 :rule trans :premises (@p120 @p20)) % 0.53/0.73 (step @p122 :rule cong :premises (@p121 @p99) :args (@t63)) % 0.53/0.73 (step @p123 :rule cong :premises (@p33) :args (@t81)) % 0.53/0.73 (step @p124 :rule trans :premises (@p123 @p41 @p122 @p119)) % 0.53/0.73 (step @p125 :rule cong :premises (@p124 @p117) :args (@t82)) % 0.53/0.73 (step @p126 :rule trans :premises (@p125 @p112)) % 0.53/0.73 (step @p127 :rule cong :premises (@p33 @p126) :args (@t83)) % 0.53/0.73 (step @p128 :rule symm :premises (@p116)) % 0.53/0.73 (step @p129 :rule trans :premises (@p39 @p56 @p128 @p73 @p127 @p68)) % 0.53/0.73 (step @p130 :rule trans :premises (@p129 @p111)) % 0.53/0.73 (step @p131 :rule cong :premises (@p130 @p109) :args (@t55)) % 0.53/0.73 (step @p132 :rule trans :premises (@p34 @p131 @p69 @p108)) % 0.53/0.73 (step @p133 :rule cong :premises (@p54 @p132) :args (@t74)) % 0.53/0.73 (step @p134 :rule trans :premises (@p45 @p57 @p133 @p98 @p95 @p27)) % 0.53/0.73 (step-pop @p187 :rule scope :premises (@p134)) % 0.53/0.73 (step-pop @p188 :rule scope :premises (@p187)) % 0.53/0.73 (step-pop @p189 :rule scope :premises (@p188)) % 0.53/0.73 (step-pop @p190 :rule scope :premises (@p189)) % 0.53/0.73 (step-pop @p191 :rule scope :premises (@p190)) % 0.53/0.73 (step-pop @p192 :rule scope :premises (@p191)) % 0.53/0.73 (step-pop @p193 :rule scope :premises (@p192)) % 0.53/0.73 (step-pop @p194 :rule scope :premises (@p193)) % 0.53/0.73 (step-pop @p195 :rule scope :premises (@p194)) % 0.53/0.73 (step-pop @p196 :rule scope :premises (@p195)) % 0.53/0.73 (step-pop @p197 :rule scope :premises (@p196)) % 0.53/0.73 (step-pop @p198 :rule scope :premises (@p197)) % 0.53/0.73 (step-pop @p199 :rule scope :premises (@p198)) % 0.53/0.73 (step-pop @p200 :rule scope :premises (@p199)) % 0.53/0.73 (step-pop @p201 :rule scope :premises (@p200)) % 0.53/0.73 (step-pop @p202 :rule scope :premises (@p201)) % 0.53/0.73 (step-pop @p203 :rule scope :premises (@p202)) % 0.53/0.73 (step-pop @p204 :rule scope :premises (@p203)) % 0.53/0.73 (step-pop @p205 :rule scope :premises (@p204)) % 0.53/0.73 (step-pop @p206 :rule scope :premises (@p205)) % 0.53/0.73 (step-pop @p207 :rule scope :premises (@p206)) % 0.53/0.73 (step @p135 :rule process_scope :premises (@p207) :args (@t85)) % 0.53/0.73 (step @p157 :rule implies_elim :premises (@p135)) % 0.53/0.73 (step @p158 :rule cnf_and_neg :args (@t86)) % 0.53/0.73 (step @p159 :rule resolution :premises (@p158 @p157) :args (true @t86)) % 0.53/0.73 (step @p160 :rule reordering :premises (@p159) :args ((or @t85 (not @t50) (not @t51) (not @t53) (not @t36) (not @t54) (not @t56) (not @t57) (not @t59) (not @t60) (not @t64) (not @t66) (not @t67) (not @t68) (not @t70) (not @t72) (not @t73) (not @t75) (not @t48) (not @t77) (not @t79) (not @t84)))) % 0.53/0.73 (step @p161 false :rule chain_m_resolution :premises (@p160 @p73 @p69 @p68 @p67 @p57 @p56 @p55 @p54 @p50 @p49 @p45 @p41 @p40 @p39 @p38 @p34 @p33 @p32 @p22 @p21 @p20 @p16) :args (false (@list false false false false false false false false false false false false false false false false false false false false false true) (@list @t84 @t79 @t77 @t48 @t75 @t73 @t72 @t70 @t68 @t67 @t66 @t64 @t60 @t59 @t57 @t56 @t54 @t36 @t53 @t51 @t50 @t85))) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------