%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT143-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:29:49 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT143-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:54:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Unsatisfiable % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.c $$unsorted) % 0.44/0.63 (declare-const tptp.b $$unsorted) % 0.44/0.63 (declare-const tptp.a $$unsorted) % 0.44/0.63 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.63 (define @t2 () (@list @t1)) % 0.44/0.63 (define @t3 () (@var "Y" $$unsorted)) % 0.44/0.63 (define @t4 () (tptp.join @t1 @t3)) % 0.44/0.63 (define @t5 () (tptp.meet @t1 @t4)) % 0.44/0.63 (define @t6 () (@list @t1 @t3)) % 0.44/0.63 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.44/0.63 (define @t8 () (tptp.meet @t1 @t3)) % 0.44/0.63 (define @t9 () (tptp.join @t1 @t8)) % 0.44/0.63 (define @t10 () (forall @t6 (= @t9 @t1))) % 0.44/0.63 (define @t11 () (@var "Z" $$unsorted)) % 0.44/0.63 (define @t12 () (tptp.meet @t3 @t11)) % 0.44/0.63 (define @t13 () (@list @t1 @t3 @t11)) % 0.44/0.63 (define @t14 () (forall @t13 (= (tptp.join @t4 @t11) (tptp.join @t1 (tptp.join @t3 @t11))))) % 0.44/0.63 (define @t15 () (tptp.join tptp.a tptp.b)) % 0.44/0.63 (define @t16 () (tptp.meet tptp.c @t15)) % 0.44/0.63 (define @t17 () (tptp.meet tptp.a tptp.c)) % 0.44/0.63 (define @t18 () (tptp.join @t17 @t16)) % 0.44/0.63 (define @t19 () (tptp.meet tptp.a tptp.b)) % 0.44/0.63 (define @t20 () (tptp.join @t19 @t18)) % 0.44/0.63 (define @t21 () (tptp.meet tptp.a @t20)) % 0.44/0.63 (define @t22 () (tptp.join @t19 @t17)) % 0.44/0.63 (define @t23 () (tptp.meet tptp.a @t22)) % 0.44/0.63 (define @t24 () (= @t23 @t21)) % 0.44/0.63 (define @t25 () (not @t24)) % 0.44/0.63 (define @t26 () (@list tptp.a tptp.b)) % 0.44/0.63 (define @t27 () (tptp.join @t22 @t16)) % 0.44/0.63 (define @t28 () (= @t27 @t20)) % 0.44/0.63 (define @t29 () (@list @t19 @t17 @t16)) % 0.44/0.63 (define @t30 () (= @t20 @t27)) % 0.44/0.63 (define @t31 () (tptp.meet @t15 tptp.c)) % 0.44/0.63 (define @t32 () (tptp.join tptp.b tptp.a)) % 0.44/0.63 (define @t33 () (tptp.meet tptp.c @t32)) % 0.44/0.63 (define @t34 () (tptp.meet tptp.b tptp.a)) % 0.44/0.63 (define @t35 () (tptp.join @t34 @t33)) % 0.44/0.63 (define @t36 () (tptp.meet tptp.a @t35)) % 0.44/0.63 (define @t37 () (tptp.meet @t27 tptp.a)) % 0.44/0.63 (define @t38 () (tptp.meet @t22 @t37)) % 0.44/0.63 (define @t39 () (tptp.meet @t22 @t27)) % 0.44/0.63 (define @t40 () (tptp.meet @t39 tptp.a)) % 0.44/0.63 (define @t41 () (= @t40 @t38)) % 0.44/0.63 (define @t42 () (not @t41)) % 0.44/0.63 (define @t43 () (tptp.join @t36 @t34)) % 0.44/0.63 (define @t44 () (tptp.join @t34 @t36)) % 0.44/0.63 (define @t45 () (= @t44 @t43)) % 0.44/0.63 (define @t46 () (not @t45)) % 0.44/0.63 (define @t47 () (tptp.meet @t21 @t22)) % 0.44/0.63 (define @t48 () (= @t47 (tptp.meet @t22 @t21))) % 0.44/0.63 (define @t49 () (not @t48)) % 0.44/0.63 (define @t50 () (tptp.meet tptp.a @t31)) % 0.44/0.63 (define @t51 () (= @t50 (tptp.meet @t31 tptp.a))) % 0.44/0.63 (define @t52 () (not @t51)) % 0.44/0.63 (define @t53 () (tptp.meet @t16 tptp.a)) % 0.44/0.63 (define @t54 () (tptp.join @t16 @t53)) % 0.44/0.63 (define @t55 () (= @t16 @t54)) % 0.44/0.63 (define @t56 () (not @t55)) % 0.44/0.63 (define @t57 () (= @t21 (tptp.meet @t21 (tptp.join @t21 @t19)))) % 0.44/0.63 (define @t58 () (not @t57)) % 0.44/0.63 (define @t59 () (= (tptp.join @t34 @t17) @t44)) % 0.44/0.63 (define @t60 () (not @t59)) % 0.44/0.63 (define @t61 () (tptp.meet tptp.a (tptp.meet @t15 @t15))) % 0.44/0.63 (define @t62 () (tptp.meet tptp.a @t15)) % 0.44/0.63 (define @t63 () (tptp.meet @t62 @t15)) % 0.44/0.63 (define @t64 () (= @t63 @t61)) % 0.44/0.63 (define @t65 () (not @t64)) % 0.44/0.63 (define @t66 () (tptp.meet @t62 tptp.c)) % 0.44/0.63 (define @t67 () (= @t66 @t50)) % 0.44/0.63 (define @t68 () (not @t67)) % 0.44/0.63 (define @t69 () (tptp.join @t19 (tptp.meet @t19 @t18))) % 0.44/0.63 (define @t70 () (= @t19 @t69)) % 0.44/0.63 (define @t71 () (not @t70)) % 0.44/0.63 (define @t72 () (= @t22 @t39)) % 0.44/0.63 (define @t73 () (not @t72)) % 0.44/0.63 (define @t74 () (not @t30)) % 0.44/0.63 (define @t75 () (= @t18 (tptp.join @t16 @t17))) % 0.44/0.63 (define @t76 () (not @t75)) % 0.44/0.63 (define @t77 () (= @t15 @t32)) % 0.44/0.63 (define @t78 () (not @t77)) % 0.44/0.63 (define @t79 () (= @t16 @t31)) % 0.44/0.63 (define @t80 () (not @t79)) % 0.44/0.63 (define @t81 () (= @t21 (tptp.meet @t20 tptp.a))) % 0.44/0.63 (define @t82 () (not @t81)) % 0.44/0.63 (define @t83 () (= @t23 (tptp.meet @t22 tptp.a))) % 0.44/0.63 (define @t84 () (not @t83)) % 0.44/0.63 (define @t85 () (= @t19 @t34)) % 0.44/0.63 (define @t86 () (not @t85)) % 0.44/0.63 (define @t87 () (= tptp.a @t62)) % 0.44/0.63 (define @t88 () (not @t87)) % 0.44/0.63 (define @t89 () (and @t25 @t87 @t85 @t83 @t81 @t79 @t77 @t75 @t30 @t72 @t70 @t67 @t64 @t59 @t57 @t55 @t51 @t48 @t45)) % 0.44/0.63 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.44/0.63 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 0.44/0.63 (assume @p3 @t7) % 0.44/0.63 (assume @p4 @t10) % 0.44/0.63 (assume @p5 (forall @t6 (= @t8 (tptp.meet @t3 @t1)))) % 0.44/0.63 (assume @p6 (forall @t6 (= @t4 (tptp.join @t3 @t1)))) % 0.44/0.63 (assume @p7 (forall @t13 (= (tptp.meet @t8 @t11) (tptp.meet @t1 @t12)))) % 0.44/0.63 (assume @p8 @t14) % 0.44/0.63 (assume @p9 (forall @t13 (= (tptp.join @t8 @t12) (tptp.join @t8 (tptp.meet @t3 (tptp.join @t8 (tptp.meet @t11 @t4))))))) % 0.44/0.63 (assume @p10 @t25) % 0.44/0.63 (step @p11 :rule eq-symm :args (@t5 @t1)) % 0.44/0.63 (step @p12 :rule cong :premises (@p11) :args (@t7)) % 0.44/0.63 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 0.44/0.63 (step @p14 :rule instantiate :premises (@p13) :args (@t26)) % 0.44/0.63 (step @p15 :rule instantiate :premises (@p5) :args (@t26)) % 0.44/0.63 (step @p16 :rule instantiate :premises (@p5) :args ((@list tptp.a @t22))) % 0.44/0.63 (step @p17 :rule instantiate :premises (@p5) :args ((@list tptp.a @t20))) % 0.44/0.63 (step @p18 :rule instantiate :premises (@p5) :args ((@list tptp.c @t15))) % 0.44/0.63 (step @p19 :rule instantiate :premises (@p6) :args (@t26)) % 0.44/0.63 (step @p20 :rule instantiate :premises (@p6) :args ((@list @t17 @t16))) % 0.44/0.63 (step @p21 :rule eq-symm :args (@t27 @t20)) % 0.44/0.63 (step @p22 :rule refl :args (@t14)) % 0.44/0.63 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t14 @t28))) % 0.44/0.63 (assume-push @p162 @t14) % 0.44/0.63 (step @p25 :rule instantiate :premises (@p8) :args (@t29)) % 0.44/0.63 (step-pop @p163 :rule scope :premises (@p25)) % 0.44/0.63 (step @p26 :rule process_scope :premises (@p163) :args (@t28)) % 0.44/0.63 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.44/0.63 (step @p29 :rule implies_elim :premises (@p28)) % 0.44/0.63 (step @p30 :rule chain_m_resolution :premises (@p29 @p8) :args (@t30 (@list false) (@list @t14))) % 0.44/0.63 (step @p31 :rule instantiate :premises (@p13) :args ((@list @t22 @t16))) % 0.44/0.63 (step @p32 :rule eq-symm :args (@t9 @t1)) % 0.44/0.63 (step @p33 :rule cong :premises (@p32) :args (@t10)) % 0.44/0.63 (step @p34 :rule eq_resolve :premises (@p4 @p33)) % 0.44/0.63 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t19 @t18))) % 0.44/0.63 (step @p36 :rule instantiate :premises (@p7) :args ((@list tptp.a @t15 tptp.c))) % 0.44/0.63 (step @p37 :rule instantiate :premises (@p7) :args ((@list tptp.a @t15 @t15))) % 0.44/0.63 (step @p38 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.a tptp.c))) % 0.44/0.63 (step @p39 :rule instantiate :premises (@p13) :args ((@list @t21 @t19))) % 0.44/0.63 (step @p40 :rule instantiate :premises (@p34) :args ((@list @t16 tptp.a))) % 0.44/0.63 (step @p41 :rule instantiate :premises (@p5) :args ((@list tptp.a @t31))) % 0.44/0.63 (step @p42 :rule instantiate :premises (@p5) :args ((@list @t21 @t22))) % 0.44/0.63 (step @p43 :rule instantiate :premises (@p6) :args ((@list @t34 @t36))) % 0.44/0.63 (step @p44 :rule instantiate :premises (@p7) :args ((@list @t22 @t27 tptp.a))) % 0.44/0.63 (step @p45 :rule refl :args (@t42)) % 0.44/0.63 (step @p46 :rule refl :args (@t46)) % 0.44/0.63 (step @p47 :rule refl :args (@t49)) % 0.44/0.63 (step @p48 :rule refl :args (@t52)) % 0.44/0.63 (step @p49 :rule refl :args (@t56)) % 0.44/0.63 (step @p50 :rule refl :args (@t58)) % 0.44/0.63 (step @p51 :rule refl :args (@t60)) % 0.44/0.63 (step @p52 :rule refl :args (@t65)) % 0.44/0.63 (step @p53 :rule refl :args (@t68)) % 0.44/0.63 (step @p54 :rule refl :args (@t71)) % 0.44/0.63 (step @p55 :rule refl :args (@t73)) % 0.44/0.63 (step @p56 :rule refl :args (@t74)) % 0.44/0.63 (step @p57 :rule refl :args (@t76)) % 0.44/0.63 (step @p58 :rule refl :args (@t78)) % 0.44/0.63 (step @p59 :rule refl :args (@t80)) % 0.44/0.63 (step @p60 :rule refl :args (@t82)) % 0.44/0.63 (step @p61 :rule refl :args (@t84)) % 0.44/0.63 (step @p62 :rule refl :args (@t86)) % 0.44/0.63 (step @p63 :rule refl :args (@t88)) % 0.44/0.63 (step @p64 :rule bool-double-not-elim :args (@t24)) % 0.44/0.63 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45) :args ((or (not @t25) @t88 @t86 @t84 @t82 @t80 @t78 @t76 @t74 @t73 @t71 @t68 @t65 @t60 @t58 @t56 @t52 @t49 @t46 @t42))) % 0.44/0.63 (assume-push @p164 @t25) % 0.44/0.63 (assume-push @p165 @t87) % 0.44/0.63 (assume-push @p166 @t85) % 0.44/0.63 (assume-push @p167 @t83) % 0.44/0.63 (assume-push @p168 @t81) % 0.44/0.63 (assume-push @p169 @t79) % 0.44/0.63 (assume-push @p170 @t77) % 0.44/0.63 (assume-push @p171 @t75) % 0.44/0.63 (assume-push @p172 @t30) % 0.44/0.63 (assume-push @p173 @t72) % 0.44/0.63 (assume-push @p174 @t70) % 0.44/0.63 (assume-push @p175 @t67) % 0.44/0.63 (assume-push @p176 @t64) % 0.44/0.63 (assume-push @p177 @t59) % 0.44/0.63 (assume-push @p178 @t57) % 0.44/0.63 (assume-push @p179 @t55) % 0.44/0.63 (assume-push @p180 @t51) % 0.44/0.63 (assume-push @p181 @t48) % 0.44/0.63 (assume-push @p182 @t45) % 0.44/0.63 (step @p85 :rule false_intro :premises (@p10)) % 0.44/0.63 (step @p86 :rule symm :premises (@p39)) % 0.44/0.63 (step @p87 :rule symm :premises (@p15)) % 0.44/0.63 (step @p88 :rule refl :args (@t18)) % 0.44/0.63 (step @p89 :rule symm :premises (@p35)) % 0.44/0.63 (step @p90 :rule cong :premises (@p89 @p88) :args ((tptp.join @t69 @t18))) % 0.44/0.63 (step @p91 :rule symm :premises (@p20)) % 0.44/0.63 (step @p92 :rule refl :args (tptp.c)) % 0.44/0.63 (step @p93 :rule symm :premises (@p14)) % 0.44/0.63 (step @p94 :rule cong :premises (@p93 @p92) :args (@t66)) % 0.44/0.63 (step @p95 :rule symm :premises (@p36)) % 0.44/0.63 (step @p96 :rule symm :premises (@p41)) % 0.44/0.63 (step @p97 :rule refl :args (tptp.a)) % 0.44/0.63 (step @p98 :rule cong :premises (@p18 @p97) :args (@t53)) % 0.44/0.63 (step @p99 :rule trans :premises (@p98 @p96 @p95 @p94)) % 0.44/0.63 (step @p100 :rule refl :args (@t16)) % 0.44/0.63 (step @p101 :rule cong :premises (@p100 @p99) :args (@t54)) % 0.44/0.63 (step @p102 :rule trans :premises (@p40 @p101 @p91)) % 0.44/0.63 (step @p103 :rule cong :premises (@p35 @p102) :args ((tptp.join @t19 @t16))) % 0.44/0.63 (step @p104 :rule symm :premises (@p19)) % 0.44/0.63 (step @p105 :rule cong :premises (@p92 @p104) :args (@t33)) % 0.44/0.63 (step @p106 :rule cong :premises (@p87 @p105) :args (@t35)) % 0.44/0.63 (step @p107 :rule trans :premises (@p106 @p103 @p90)) % 0.44/0.63 (step @p108 :rule refl :args (@t15)) % 0.44/0.63 (step @p109 :rule cong :premises (@p93 @p108) :args (@t63)) % 0.44/0.63 (step @p110 :rule symm :premises (@p37)) % 0.44/0.63 (step @p111 :rule trans :premises (@p110 @p109 @p93)) % 0.44/0.63 (step @p112 :rule cong :premises (@p111 @p107) :args ((tptp.meet @t61 @t35))) % 0.44/0.63 (step @p113 :rule refl :args (@t35)) % 0.44/0.63 (step @p114 :rule symm :premises (@p111)) % 0.44/0.63 (step @p115 :rule cong :premises (@p114 @p113) :args (@t36)) % 0.44/0.63 (step @p116 :rule trans :premises (@p115 @p112)) % 0.44/0.63 (step @p117 :rule cong :premises (@p116 @p87) :args (@t43)) % 0.44/0.63 (step @p118 :rule refl :args (@t17)) % 0.44/0.63 (step @p119 :rule cong :premises (@p15 @p118) :args (@t22)) % 0.44/0.63 (step @p120 :rule trans :premises (@p119 @p38 @p43 @p117)) % 0.44/0.63 (step @p121 :rule refl :args (@t21)) % 0.44/0.63 (step @p122 :rule cong :premises (@p121 @p120) :args (@t47)) % 0.44/0.63 (step @p123 :rule symm :premises (@p42)) % 0.44/0.63 (step @p124 :rule symm :premises (@p17)) % 0.44/0.63 (step @p25 :rule instantiate :premises (@p8) :args (@t29)) % 0.44/0.63 (step @p125 :rule cong :premises (@p25 @p97) :args (@t37)) % 0.44/0.63 (step @p126 :rule trans :premises (@p125 @p124)) % 0.44/0.63 (step @p127 :rule refl :args (@t22)) % 0.44/0.63 (step @p128 :rule cong :premises (@p127 @p126) :args (@t38)) % 0.44/0.63 (step @p129 :rule trans :premises (@p128 @p123 @p122 @p86)) % 0.44/0.63 (step @p130 :rule symm :premises (@p16)) % 0.44/0.63 (step @p131 :rule symm :premises (@p31)) % 0.44/0.63 (step @p132 :rule cong :premises (@p131 @p97) :args (@t40)) % 0.44/0.63 (step @p133 :rule trans :premises (@p132 @p130)) % 0.44/0.63 (step @p134 :rule cong :premises (@p133 @p129) :args (@t41)) % 0.44/0.63 (step @p135 :rule trans :premises (@p134 @p85)) % 0.44/0.63 (step @p136 :rule false_elim :premises (@p135)) % 0.44/0.63 (step-pop @p183 :rule scope :premises (@p136)) % 0.44/0.63 (step-pop @p184 :rule scope :premises (@p183)) % 0.44/0.63 (step-pop @p185 :rule scope :premises (@p184)) % 0.44/0.63 (step-pop @p186 :rule scope :premises (@p185)) % 0.44/0.63 (step-pop @p187 :rule scope :premises (@p186)) % 0.44/0.63 (step-pop @p188 :rule scope :premises (@p187)) % 0.44/0.63 (step-pop @p189 :rule scope :premises (@p188)) % 0.44/0.63 (step-pop @p190 :rule scope :premises (@p189)) % 0.44/0.63 (step-pop @p191 :rule scope :premises (@p190)) % 0.44/0.63 (step-pop @p192 :rule scope :premises (@p191)) % 0.44/0.63 (step-pop @p193 :rule scope :premises (@p192)) % 0.44/0.63 (step-pop @p194 :rule scope :premises (@p193)) % 0.44/0.63 (step-pop @p195 :rule scope :premises (@p194)) % 0.44/0.63 (step-pop @p196 :rule scope :premises (@p195)) % 0.44/0.63 (step-pop @p197 :rule scope :premises (@p196)) % 0.44/0.63 (step-pop @p198 :rule scope :premises (@p197)) % 0.44/0.63 (step-pop @p199 :rule scope :premises (@p198)) % 0.44/0.63 (step-pop @p200 :rule scope :premises (@p199)) % 0.44/0.63 (step-pop @p201 :rule scope :premises (@p200)) % 0.44/0.63 (step @p137 :rule process_scope :premises (@p201) :args (@t42)) % 0.44/0.63 (step @p157 :rule implies_elim :premises (@p137)) % 0.44/0.63 (step @p158 :rule cnf_and_neg :args (@t89)) % 0.44/0.63 (step @p159 :rule resolution :premises (@p158 @p157) :args (true @t89)) % 0.44/0.63 (step @p160 :rule eq_resolve :premises (@p159 @p65)) % 0.44/0.63 (step @p161 false :rule chain_m_resolution :premises (@p160 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p31 @p30 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p10) :args (false (@list false false false false false false false false false false false false false false false false false false false true) (@list @t41 @t45 @t48 @t51 @t55 @t57 @t59 @t64 @t67 @t70 @t72 @t30 @t75 @t77 @t79 @t81 @t83 @t85 @t87 @t24))) % 0.44/0.63 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------