%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT038-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:29:39 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT038-1 : TPTP v9.2.1. Released v2.4.0. % 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 : n028.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 05:44:35 EDT 2026 % 0.15/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Unsatisfiable % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.aa $$unsorted) % 0.37/0.61 (declare-const tptp.cc $$unsorted) % 0.37/0.61 (declare-const tptp.bb $$unsorted) % 0.37/0.61 (declare-const tptp.dd $$unsorted) % 0.37/0.61 (declare-const tptp.n0 $$unsorted) % 0.37/0.61 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t2 () (@list @t1)) % 0.37/0.61 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t4 () (tptp.join @t1 @t3)) % 0.37/0.61 (define @t5 () (@list @t1 @t3)) % 0.37/0.61 (define @t6 () (tptp.meet @t1 @t3)) % 0.37/0.61 (define @t7 () (tptp.join @t1 @t6)) % 0.37/0.61 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.37/0.61 (define @t9 () (@var "Z" $$unsorted)) % 0.37/0.61 (define @t10 () (tptp.meet @t3 @t9)) % 0.37/0.61 (define @t11 () (@list @t1 @t3 @t9)) % 0.37/0.61 (define @t12 () (tptp.join @t3 @t9)) % 0.37/0.61 (define @t13 () (@var "W" $$unsorted)) % 0.37/0.61 (define @t14 () (@var "V" $$unsorted)) % 0.37/0.61 (define @t15 () (@var "U" $$unsorted)) % 0.37/0.61 (define @t16 () (tptp.join @t15 @t14)) % 0.37/0.61 (define @t17 () (@list @t13)) % 0.37/0.61 (define @t18 () (tptp.f (tptp.join tptp.cc tptp.bb) tptp.dd)) % 0.37/0.61 (define @t19 () (tptp.f (tptp.join tptp.aa tptp.bb) tptp.dd)) % 0.37/0.61 (define @t20 () (= @t19 @t18)) % 0.37/0.61 (define @t21 () (tptp.f tptp.bb tptp.dd)) % 0.37/0.61 (define @t22 () (tptp.f tptp.cc tptp.dd)) % 0.37/0.61 (define @t23 () (tptp.meet @t22 @t21)) % 0.37/0.61 (define @t24 () (tptp.f tptp.aa tptp.dd)) % 0.37/0.61 (define @t25 () (tptp.meet @t24 @t21)) % 0.37/0.61 (define @t26 () (= @t25 @t23)) % 0.37/0.61 (define @t27 () (= @t24 @t22)) % 0.37/0.61 (define @t28 () (not @t27)) % 0.37/0.61 (define @t29 () (@list @t22 @t21)) % 0.37/0.61 (define @t30 () (tptp.join @t22 @t21)) % 0.37/0.61 (define @t31 () (tptp.join @t22 @t24)) % 0.37/0.61 (define @t32 () (tptp.join @t24 @t22)) % 0.37/0.61 (define @t33 () (tptp.join @t24 @t21)) % 0.37/0.61 (define @t34 () (tptp.meet @t33 @t32)) % 0.37/0.61 (define @t35 () (tptp.meet @t21 @t22)) % 0.37/0.61 (define @t36 () (tptp.join @t24 @t35)) % 0.37/0.61 (define @t37 () (= @t36 @t34)) % 0.37/0.61 (define @t38 () (not @t37)) % 0.37/0.61 (define @t39 () (= @t31 @t32)) % 0.37/0.61 (define @t40 () (not @t39)) % 0.37/0.61 (define @t41 () (tptp.meet @t31 @t30)) % 0.37/0.61 (define @t42 () (= @t41 (tptp.meet @t30 @t31))) % 0.37/0.61 (define @t43 () (not @t42)) % 0.37/0.61 (define @t44 () (tptp.join @t22 @t25)) % 0.37/0.61 (define @t45 () (= @t44 @t41)) % 0.37/0.61 (define @t46 () (not @t45)) % 0.37/0.61 (define @t47 () (= @t19 @t33)) % 0.37/0.61 (define @t48 () (not @t47)) % 0.37/0.61 (define @t49 () (= @t18 @t30)) % 0.37/0.61 (define @t50 () (not @t49)) % 0.37/0.61 (define @t51 () (= @t23 @t35)) % 0.37/0.61 (define @t52 () (not @t51)) % 0.37/0.61 (define @t53 () (= @t22 (tptp.join @t22 @t23))) % 0.37/0.61 (define @t54 () (not @t53)) % 0.37/0.61 (define @t55 () (= @t24 (tptp.join @t24 @t25))) % 0.37/0.61 (define @t56 () (not @t55)) % 0.37/0.61 (define @t57 () (not @t26)) % 0.37/0.61 (define @t58 () (not @t20)) % 0.37/0.61 (define @t59 () (and @t20 @t26 @t28 @t55 @t53 @t51 @t49 @t47 @t45 @t42 @t39)) % 0.37/0.61 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.37/0.61 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 0.37/0.61 (assume @p3 (forall @t5 (= (tptp.meet @t1 @t4) @t1))) % 0.37/0.61 (assume @p4 @t8) % 0.37/0.61 (assume @p5 (forall @t5 (= @t6 (tptp.meet @t3 @t1)))) % 0.37/0.61 (assume @p6 (forall @t5 (= @t4 (tptp.join @t3 @t1)))) % 0.37/0.61 (assume @p7 (forall @t11 (= (tptp.meet @t6 @t9) (tptp.meet @t1 @t10)))) % 0.37/0.61 (assume @p8 (forall @t11 (= (tptp.join @t4 @t9) (tptp.join @t1 @t12)))) % 0.37/0.61 (assume @p9 (forall @t11 (= (tptp.join @t1 @t10) (tptp.meet @t4 (tptp.join @t1 @t9))))) % 0.37/0.61 (assume @p10 (forall @t11 (= (tptp.meet @t1 @t12) (tptp.join @t6 (tptp.meet @t1 @t9))))) % 0.37/0.61 (assume @p11 (forall (@list @t15 @t14 @t13) (= (tptp.f @t16 @t13) (tptp.join (tptp.f @t15 @t13) (tptp.f @t14 @t13))))) % 0.37/0.61 (assume @p12 (forall @t17 (= (tptp.f tptp.n0 @t13) tptp.n0))) % 0.37/0.61 (assume @p13 (forall (@list @t13 @t15 @t14) (= (tptp.f @t13 @t16) (tptp.join (tptp.f @t13 @t15) (tptp.f @t13 @t14))))) % 0.37/0.61 (assume @p14 (forall @t17 (= (tptp.f @t13 tptp.n0) tptp.n0))) % 0.37/0.61 (assume @p15 @t20) % 0.37/0.61 (assume @p16 @t26) % 0.37/0.61 (assume @p17 @t28) % 0.37/0.61 (step @p18 :rule eq-symm :args (@t7 @t1)) % 0.37/0.61 (step @p19 :rule cong :premises (@p18) :args (@t8)) % 0.37/0.61 (step @p20 :rule eq_resolve :premises (@p4 @p19)) % 0.37/0.61 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t24 @t21))) % 0.37/0.61 (step @p22 :rule instantiate :premises (@p20) :args (@t29)) % 0.37/0.61 (step @p23 :rule instantiate :premises (@p5) :args (@t29)) % 0.37/0.61 (step @p24 :rule instantiate :premises (@p11) :args ((@list tptp.cc tptp.bb tptp.dd))) % 0.37/0.61 (step @p25 :rule instantiate :premises (@p11) :args ((@list tptp.aa tptp.bb tptp.dd))) % 0.37/0.61 (step @p26 :rule instantiate :premises (@p9) :args ((@list @t22 @t24 @t21))) % 0.37/0.61 (step @p27 :rule instantiate :premises (@p5) :args ((@list @t31 @t30))) % 0.37/0.61 (step @p28 :rule instantiate :premises (@p6) :args ((@list @t22 @t24))) % 0.37/0.61 (step @p29 :rule instantiate :premises (@p9) :args ((@list @t24 @t21 @t22))) % 0.37/0.61 (step @p30 :rule refl :args (@t38)) % 0.37/0.61 (step @p31 :rule refl :args (@t40)) % 0.37/0.61 (step @p32 :rule refl :args (@t43)) % 0.37/0.61 (step @p33 :rule refl :args (@t46)) % 0.37/0.61 (step @p34 :rule refl :args (@t48)) % 0.37/0.61 (step @p35 :rule refl :args (@t50)) % 0.37/0.61 (step @p36 :rule refl :args (@t52)) % 0.37/0.61 (step @p37 :rule refl :args (@t54)) % 0.37/0.61 (step @p38 :rule refl :args (@t56)) % 0.37/0.61 (step @p39 :rule bool-double-not-elim :args (@t27)) % 0.37/0.61 (step @p40 :rule refl :args (@t57)) % 0.37/0.61 (step @p41 :rule refl :args (@t58)) % 0.37/0.61 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30) :args ((or @t58 @t57 (not @t28) @t56 @t54 @t52 @t50 @t48 @t46 @t43 @t40 @t38))) % 0.37/0.61 (assume-push @p93 @t20) % 0.37/0.61 (assume-push @p94 @t26) % 0.37/0.61 (assume-push @p95 @t28) % 0.37/0.61 (assume-push @p96 @t55) % 0.37/0.61 (assume-push @p97 @t53) % 0.37/0.61 (assume-push @p98 @t51) % 0.37/0.61 (assume-push @p99 @t49) % 0.37/0.61 (assume-push @p100 @t47) % 0.37/0.61 (assume-push @p101 @t45) % 0.37/0.61 (assume-push @p102 @t42) % 0.37/0.61 (assume-push @p103 @t39) % 0.37/0.61 (step @p54 :rule false_intro :premises (@p17)) % 0.37/0.61 (step @p55 :rule symm :premises (@p22)) % 0.37/0.61 (step @p56 :rule refl :args (@t22)) % 0.37/0.61 (step @p57 :rule cong :premises (@p56 @p16) :args (@t44)) % 0.37/0.61 (step @p58 :rule symm :premises (@p26)) % 0.37/0.61 (step @p59 :rule symm :premises (@p27)) % 0.37/0.61 (step @p60 :rule symm :premises (@p28)) % 0.37/0.61 (step @p61 :rule symm :premises (@p25)) % 0.37/0.61 (step @p62 :rule trans :premises (@p61 @p15 @p24)) % 0.37/0.61 (step @p63 :rule cong :premises (@p62 @p60) :args (@t34)) % 0.37/0.61 (step @p64 :rule trans :premises (@p63 @p59 @p58 @p57 @p55)) % 0.37/0.61 (step @p65 :rule symm :premises (@p21)) % 0.37/0.61 (step @p66 :rule symm :premises (@p16)) % 0.37/0.61 (step @p67 :rule symm :premises (@p23)) % 0.37/0.61 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.61 (step @p69 :rule refl :args (@t24)) % 0.37/0.61 (step @p70 :rule cong :premises (@p69 @p68) :args (@t36)) % 0.37/0.61 (step @p71 :rule trans :premises (@p70 @p65)) % 0.37/0.61 (step @p72 :rule cong :premises (@p71 @p64) :args (@t37)) % 0.37/0.61 (step @p73 :rule trans :premises (@p72 @p54)) % 0.37/0.61 (step @p74 :rule false_elim :premises (@p73)) % 0.37/0.61 (step-pop @p104 :rule scope :premises (@p74)) % 0.37/0.61 (step-pop @p105 :rule scope :premises (@p104)) % 0.37/0.61 (step-pop @p106 :rule scope :premises (@p105)) % 0.37/0.61 (step-pop @p107 :rule scope :premises (@p106)) % 0.37/0.61 (step-pop @p108 :rule scope :premises (@p107)) % 0.37/0.61 (step-pop @p109 :rule scope :premises (@p108)) % 0.37/0.61 (step-pop @p110 :rule scope :premises (@p109)) % 0.37/0.61 (step-pop @p111 :rule scope :premises (@p110)) % 0.37/0.61 (step-pop @p112 :rule scope :premises (@p111)) % 0.37/0.61 (step-pop @p113 :rule scope :premises (@p112)) % 0.37/0.61 (step-pop @p114 :rule scope :premises (@p113)) % 0.37/0.61 (step @p75 :rule process_scope :premises (@p114) :args (@t38)) % 0.37/0.61 (step @p87 :rule implies_elim :premises (@p75)) % 0.37/0.61 (step @p88 :rule cnf_and_neg :args (@t59)) % 0.37/0.61 (step @p89 :rule resolution :premises (@p88 @p87) :args (true @t59)) % 0.37/0.61 (step @p90 :rule eq_resolve :premises (@p89 @p42)) % 0.37/0.61 (step @p91 :rule reordering :premises (@p90) :args ((or @t27 @t58 @t57 @t56 @t54 @t52 @t50 @t48 @t46 @t43 @t40 @t38))) % 0.37/0.61 (step @p92 false :rule chain_m_resolution :premises (@p91 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p17 @p16 @p15) :args (false (@list false false false false false false false false false true false false) (@list @t37 @t39 @t42 @t45 @t47 @t49 @t51 @t53 @t55 @t27 @t26 @t20))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------