%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT045-1 : 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 : n013.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 0.41s 0.61s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : LAT045-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:44:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.61 % SZS status Unsatisfiable % 0.41/0.61 % SZS output start Proof % 0.41/0.61 ( % 0.41/0.61 (declare-sort $$unsorted 0) % 0.41/0.61 (declare-const tptp.b $$unsorted) % 0.41/0.61 (declare-const tptp.a $$unsorted) % 0.41/0.61 (declare-const tptp.n0 $$unsorted) % 0.41/0.61 (declare-const tptp.n1 $$unsorted) % 0.41/0.61 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.41/0.61 (define @t2 () (@list @t1)) % 0.41/0.61 (define @t3 () (@var "Y" $$unsorted)) % 0.41/0.61 (define @t4 () (tptp.join @t1 @t3)) % 0.41/0.61 (define @t5 () (@list @t1 @t3)) % 0.41/0.61 (define @t6 () (tptp.meet @t1 @t3)) % 0.41/0.61 (define @t7 () (tptp.join @t1 @t6)) % 0.41/0.61 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.41/0.61 (define @t9 () (forall @t5 (= @t4 (tptp.join @t3 @t1)))) % 0.41/0.61 (define @t10 () (@var "Z" $$unsorted)) % 0.41/0.61 (define @t11 () (@list @t1 @t3 @t10)) % 0.41/0.61 (define @t12 () (tptp.complement @t3)) % 0.41/0.61 (define @t13 () (tptp.complement @t1)) % 0.41/0.61 (define @t14 () (tptp.join @t13 @t1)) % 0.41/0.61 (define @t15 () (forall @t2 (= @t14 tptp.n1))) % 0.41/0.61 (define @t16 () (tptp.meet @t13 @t1)) % 0.41/0.61 (define @t17 () (forall @t2 (= @t16 tptp.n0))) % 0.41/0.61 (define @t18 () (tptp.complement @t13)) % 0.41/0.61 (define @t19 () (forall @t2 (= @t18 @t1))) % 0.41/0.61 (define @t20 () (tptp.join @t1 @t10)) % 0.41/0.61 (define @t21 () (tptp.join tptp.a tptp.b)) % 0.41/0.61 (define @t22 () (tptp.complement tptp.a)) % 0.41/0.61 (define @t23 () (tptp.meet @t22 @t21)) % 0.41/0.61 (define @t24 () (tptp.join tptp.a @t23)) % 0.41/0.61 (define @t25 () (@list tptp.a)) % 0.41/0.61 (define @t26 () (tptp.join tptp.a @t22)) % 0.41/0.61 (define @t27 () (tptp.join @t22 tptp.a)) % 0.41/0.61 (define @t28 () (= @t26 @t27)) % 0.41/0.61 (define @t29 () (@list tptp.a @t22)) % 0.41/0.61 (define @t30 () (= @t27 @t26)) % 0.41/0.61 (define @t31 () (@list @t22 tptp.a)) % 0.41/0.61 (define @t32 () (tptp.complement tptp.b)) % 0.41/0.61 (define @t33 () (@list @t22)) % 0.41/0.61 (define @t34 () (@list @t21)) % 0.41/0.61 (define @t35 () (tptp.complement @t21)) % 0.41/0.61 (define @t36 () (tptp.complement @t26)) % 0.41/0.61 (define @t37 () (@list @t36 @t35)) % 0.41/0.61 (define @t38 () (tptp.meet @t22 @t32)) % 0.41/0.61 (define @t39 () (= @t35 @t38)) % 0.41/0.61 (define @t40 () (tptp.meet @t22 (tptp.complement @t23))) % 0.41/0.61 (define @t41 () (tptp.complement @t24)) % 0.41/0.61 (define @t42 () (= @t41 @t40)) % 0.41/0.61 (define @t43 () (= tptp.n1 @t27)) % 0.41/0.61 (define @t44 () (tptp.meet @t22 tptp.a)) % 0.41/0.61 (define @t45 () (= tptp.n0 @t44)) % 0.41/0.61 (define @t46 () (tptp.meet @t26 @t21)) % 0.41/0.61 (define @t47 () (= @t24 @t46)) % 0.41/0.61 (define @t48 () (tptp.complement @t22)) % 0.41/0.61 (define @t49 () (tptp.meet @t48 @t22)) % 0.41/0.61 (define @t50 () (= (tptp.complement @t27) @t49)) % 0.41/0.61 (define @t51 () (tptp.join @t48 @t22)) % 0.41/0.61 (define @t52 () (= (tptp.complement @t44) @t51)) % 0.41/0.61 (define @t53 () (tptp.join @t48 (tptp.complement @t32))) % 0.41/0.61 (define @t54 () (tptp.complement @t38)) % 0.41/0.61 (define @t55 () (= @t54 @t53)) % 0.41/0.61 (define @t56 () (tptp.join @t36 @t35)) % 0.41/0.61 (define @t57 () (= (tptp.complement @t46) @t56)) % 0.41/0.61 (define @t58 () (= tptp.n1 @t51)) % 0.41/0.61 (define @t59 () (tptp.meet @t35 @t21)) % 0.41/0.61 (define @t60 () (= tptp.n0 @t59)) % 0.41/0.61 (define @t61 () (= tptp.n0 @t49)) % 0.41/0.61 (define @t62 () (= tptp.a @t48)) % 0.41/0.61 (define @t63 () (tptp.join @t35 @t59)) % 0.41/0.61 (define @t64 () (= @t35 @t63)) % 0.41/0.61 (define @t65 () (= @t56 (tptp.join @t35 @t36))) % 0.41/0.61 (define @t66 () (tptp.complement @t35)) % 0.41/0.61 (define @t67 () (tptp.complement @t36)) % 0.41/0.61 (define @t68 () (tptp.meet @t67 @t66)) % 0.41/0.61 (define @t69 () (= (tptp.complement @t56) @t68)) % 0.41/0.61 (define @t70 () (= @t21 @t66)) % 0.41/0.61 (define @t71 () (tptp.complement @t48)) % 0.41/0.61 (define @t72 () (tptp.join @t48 @t71)) % 0.41/0.61 (define @t73 () (= @t21 @t24)) % 0.41/0.61 (define @t74 () (and @t39 @t42 @t43 @t45 @t47 @t30 @t50 @t52 @t55 @t57 @t58 @t60 @t61 @t62 @t64 @t65 @t69 @t70)) % 0.41/0.61 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.41/0.61 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 0.41/0.61 (assume @p3 (forall @t5 (= (tptp.meet @t1 @t4) @t1))) % 0.41/0.61 (assume @p4 @t8) % 0.41/0.61 (assume @p5 (forall @t5 (= @t6 (tptp.meet @t3 @t1)))) % 0.41/0.61 (assume @p6 @t9) % 0.41/0.61 (assume @p7 (forall @t11 (= (tptp.meet @t6 @t10) (tptp.meet @t1 (tptp.meet @t3 @t10))))) % 0.41/0.61 (assume @p8 (forall @t11 (= (tptp.join @t4 @t10) (tptp.join @t1 (tptp.join @t3 @t10))))) % 0.41/0.61 (assume @p9 (forall @t5 (= (tptp.complement @t4) (tptp.meet @t13 @t12)))) % 0.41/0.61 (assume @p10 (forall @t5 (= (tptp.complement @t6) (tptp.join @t13 @t12)))) % 0.41/0.61 (assume @p11 @t15) % 0.41/0.61 (assume @p12 @t17) % 0.41/0.61 (assume @p13 @t19) % 0.41/0.61 (assume @p14 (forall @t11 (= (tptp.join @t1 (tptp.meet @t3 @t20)) (tptp.meet @t4 @t20)))) % 0.41/0.61 (assume @p15 (not (= @t24 @t21))) % 0.41/0.61 (step @p16 :rule symm :premises (@p15)) % 0.41/0.61 (step @p17 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b))) % 0.41/0.61 (step @p18 :rule instantiate :premises (@p9) :args ((@list tptp.a @t23))) % 0.41/0.61 (step @p19 :rule eq-symm :args (@t14 tptp.n1)) % 0.41/0.61 (step @p20 :rule cong :premises (@p19) :args (@t15)) % 0.41/0.61 (step @p21 :rule eq_resolve :premises (@p11 @p20)) % 0.41/0.61 (step @p22 :rule instantiate :premises (@p21) :args (@t25)) % 0.41/0.61 (step @p23 :rule eq-symm :args (@t16 tptp.n0)) % 0.41/0.61 (step @p24 :rule cong :premises (@p23) :args (@t17)) % 0.41/0.61 (step @p25 :rule eq_resolve :premises (@p12 @p24)) % 0.41/0.61 (step @p26 :rule instantiate :premises (@p25) :args (@t25)) % 0.41/0.61 (step @p27 :rule instantiate :premises (@p14) :args ((@list tptp.a @t22 tptp.b))) % 0.41/0.61 (step @p28 :rule eq-symm :args (@t26 @t27)) % 0.41/0.61 (step @p29 :rule refl :args (@t9)) % 0.41/0.61 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t9 @t28))) % 0.41/0.61 (assume-push @p135 @t9) % 0.41/0.61 (step @p32 :rule instantiate :premises (@p6) :args (@t29)) % 0.41/0.61 (step-pop @p136 :rule scope :premises (@p32)) % 0.41/0.61 (step @p33 :rule process_scope :premises (@p136) :args (@t28)) % 0.41/0.61 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.41/0.61 (step @p36 :rule implies_elim :premises (@p35)) % 0.41/0.61 (step @p37 :rule chain_m_resolution :premises (@p36 @p6) :args (@t30 (@list false) (@list @t9))) % 0.41/0.61 (step @p38 :rule instantiate :premises (@p9) :args (@t31)) % 0.41/0.61 (step @p39 :rule instantiate :premises (@p10) :args (@t31)) % 0.41/0.61 (step @p40 :rule instantiate :premises (@p10) :args ((@list @t22 @t32))) % 0.41/0.61 (step @p41 :rule instantiate :premises (@p10) :args ((@list @t26 @t21))) % 0.41/0.61 (step @p42 :rule instantiate :premises (@p21) :args (@t33)) % 0.41/0.61 (step @p43 :rule instantiate :premises (@p25) :args (@t34)) % 0.41/0.61 (step @p44 :rule instantiate :premises (@p25) :args (@t33)) % 0.41/0.61 (step @p45 :rule eq-symm :args (@t18 @t1)) % 0.41/0.61 (step @p46 :rule cong :premises (@p45) :args (@t19)) % 0.41/0.61 (step @p47 :rule eq_resolve :premises (@p13 @p46)) % 0.41/0.61 (step @p48 :rule instantiate :premises (@p47) :args (@t25)) % 0.41/0.61 (step @p49 :rule eq-symm :args (@t7 @t1)) % 0.41/0.61 (step @p50 :rule cong :premises (@p49) :args (@t8)) % 0.41/0.61 (step @p51 :rule eq_resolve :premises (@p4 @p50)) % 0.41/0.61 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t35 @t21))) % 0.41/0.61 (step @p53 :rule instantiate :premises (@p6) :args (@t37)) % 0.41/0.61 (step @p54 :rule instantiate :premises (@p9) :args (@t37)) % 0.41/0.61 (step @p55 :rule instantiate :premises (@p47) :args (@t34)) % 0.41/0.61 (assume-push @p137 @t39) % 0.41/0.61 (assume-push @p138 @t42) % 0.41/0.61 (assume-push @p139 @t43) % 0.41/0.61 (assume-push @p140 @t45) % 0.41/0.61 (assume-push @p141 @t47) % 0.41/0.61 (assume-push @p142 @t30) % 0.41/0.61 (assume-push @p143 @t50) % 0.41/0.61 (assume-push @p144 @t52) % 0.41/0.61 (assume-push @p145 @t55) % 0.41/0.61 (assume-push @p146 @t57) % 0.41/0.61 (assume-push @p147 @t58) % 0.41/0.61 (assume-push @p148 @t60) % 0.41/0.61 (assume-push @p149 @t61) % 0.41/0.61 (assume-push @p150 @t62) % 0.41/0.61 (assume-push @p151 @t64) % 0.41/0.61 (assume-push @p152 @t65) % 0.41/0.61 (assume-push @p153 @t69) % 0.41/0.61 (assume-push @p154 @t70) % 0.41/0.61 (step @p74 :rule symm :premises (@p27)) % 0.41/0.61 (step @p75 :rule symm :premises (@p55)) % 0.41/0.61 (step @p76 :rule symm :premises (@p17)) % 0.41/0.61 (step @p77 :rule cong :premises (@p76) :args (@t54)) % 0.41/0.61 (step @p78 :rule symm :premises (@p40)) % 0.41/0.61 (step @p79 :rule trans :premises (@p78 @p77 @p75)) % 0.41/0.61 (step @p80 :rule symm :premises (@p48)) % 0.41/0.61 (step @p81 :rule cong :premises (@p80) :args (@t71)) % 0.41/0.61 (step @p82 :rule cong :premises (@p80 @p81) :args (@t72)) % 0.41/0.61 (step @p83 :rule cong :premises (@p82 @p79) :args ((tptp.meet @t72 @t53))) % 0.41/0.61 (step @p84 :rule symm :premises (@p77)) % 0.41/0.61 (step @p85 :rule trans :premises (@p84 @p40)) % 0.41/0.61 (step @p86 :rule symm :premises (@p82)) % 0.41/0.61 (step @p87 :rule symm :premises (@p42)) % 0.41/0.61 (step @p88 :rule symm :premises (@p44)) % 0.41/0.61 (step @p32 :rule instantiate :premises (@p6) :args (@t29)) % 0.41/0.61 (step @p89 :rule cong :premises (@p32) :args (@t36)) % 0.41/0.61 (step @p90 :rule trans :premises (@p89 @p38 @p88 @p26)) % 0.41/0.61 (step @p91 :rule cong :premises (@p90) :args (@t67)) % 0.41/0.61 (step @p92 :rule trans :premises (@p91 @p39 @p87 @p22 @p37)) % 0.41/0.61 (step @p93 :rule trans :premises (@p92 @p86)) % 0.41/0.61 (step @p94 :rule cong :premises (@p93 @p85) :args (@t68)) % 0.41/0.61 (step @p95 :rule cong :premises (@p27) :args (@t41)) % 0.41/0.61 (step @p96 :rule symm :premises (@p18)) % 0.41/0.61 (step @p97 :rule trans :premises (@p96 @p95 @p41)) % 0.41/0.61 (step @p98 :rule cong :premises (@p97) :args ((tptp.complement @t40))) % 0.41/0.61 (step @p99 :rule symm :premises (@p95)) % 0.41/0.61 (step @p100 :rule symm :premises (@p41)) % 0.41/0.61 (step @p101 :rule symm :premises (@p53)) % 0.41/0.61 (step @p102 :rule symm :premises (@p89)) % 0.41/0.61 (step @p103 :rule symm :premises (@p38)) % 0.41/0.61 (step @p104 :rule symm :premises (@p43)) % 0.41/0.61 (step @p105 :rule trans :premises (@p104 @p44 @p103 @p102)) % 0.41/0.61 (step @p106 :rule refl :args (@t35)) % 0.41/0.61 (step @p107 :rule cong :premises (@p106 @p105) :args (@t63)) % 0.41/0.61 (step @p108 :rule trans :premises (@p52 @p107 @p101 @p100 @p99 @p18)) % 0.41/0.61 (step @p109 :rule cong :premises (@p108) :args (@t66)) % 0.41/0.61 (step @p110 :rule trans :premises (@p55 @p109 @p98 @p54 @p94 @p83 @p74)) % 0.41/0.61 (step-pop @p155 :rule scope :premises (@p110)) % 0.41/0.61 (step-pop @p156 :rule scope :premises (@p155)) % 0.41/0.61 (step-pop @p157 :rule scope :premises (@p156)) % 0.41/0.61 (step-pop @p158 :rule scope :premises (@p157)) % 0.41/0.61 (step-pop @p159 :rule scope :premises (@p158)) % 0.41/0.61 (step-pop @p160 :rule scope :premises (@p159)) % 0.41/0.61 (step-pop @p161 :rule scope :premises (@p160)) % 0.41/0.61 (step-pop @p162 :rule scope :premises (@p161)) % 0.41/0.61 (step-pop @p163 :rule scope :premises (@p162)) % 0.41/0.61 (step-pop @p164 :rule scope :premises (@p163)) % 0.41/0.61 (step-pop @p165 :rule scope :premises (@p164)) % 0.41/0.61 (step-pop @p166 :rule scope :premises (@p165)) % 0.41/0.61 (step-pop @p167 :rule scope :premises (@p166)) % 0.41/0.61 (step-pop @p168 :rule scope :premises (@p167)) % 0.41/0.61 (step-pop @p169 :rule scope :premises (@p168)) % 0.41/0.61 (step-pop @p170 :rule scope :premises (@p169)) % 0.41/0.61 (step-pop @p171 :rule scope :premises (@p170)) % 0.41/0.61 (step-pop @p172 :rule scope :premises (@p171)) % 0.41/0.61 (step @p111 :rule process_scope :premises (@p172) :args (@t73)) % 0.41/0.61 (step @p130 :rule implies_elim :premises (@p111)) % 0.41/0.61 (step @p131 :rule cnf_and_neg :args (@t74)) % 0.41/0.61 (step @p132 :rule resolution :premises (@p131 @p130) :args (true @t74)) % 0.41/0.61 (step @p133 :rule reordering :premises (@p132) :args ((or @t73 (not @t39) (not @t42) (not @t43) (not @t45) (not @t47) (not @t30) (not @t50) (not @t52) (not @t55) (not @t57) (not @t58) (not @t60) (not @t61) (not @t62) (not @t64) (not @t65) (not @t69) (not @t70)))) % 0.41/0.61 (step @p134 false :rule chain_m_resolution :premises (@p133 @p55 @p54 @p53 @p52 @p48 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p27 @p26 @p22 @p18 @p17 @p16) :args (false (@list false false false false false false false false false false false false false false false false false false true) (@list @t70 @t69 @t65 @t64 @t62 @t61 @t60 @t58 @t57 @t55 @t52 @t50 @t30 @t47 @t45 @t43 @t42 @t39 @t73))) % 0.41/0.61 ) % 0.41/0.62 % SZS output end Proof % 0.41/0.62 % cvc5 exiting %------------------------------------------------------------------------------