%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL111-2 : TPTP v9.3.1. 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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:11 AM UTC 2026 % Result : Unsatisfiable 207.36s 210.31s % Output : Proof 207.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL111-2 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n006.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 09:08:01 UTC 2026 % 0.09/0.36 % CPUTime : % 0.14/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.19/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 21.18/21.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.20/27.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.22/34.09 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.25/64.44 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.28/79.60 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.29/112.95 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.34/128.30 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.32/158.64 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 171.34/173.98 --- Run --relevant-triggers --full-saturate-quant at 30... % 201.37/204.32 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 207.36/210.31 % SZS status Unsatisfiable % 207.36/210.31 % SZS output start Proof % 207.36/210.32 ( % 207.36/210.32 (declare-sort $$unsorted 0) % 207.36/210.32 (declare-const tptp.x $$unsorted) % 207.36/210.32 (declare-const tptp.z $$unsorted) % 207.36/210.32 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 207.36/210.32 (declare-const tptp.y $$unsorted) % 207.36/210.32 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 207.36/210.32 (declare-const tptp.truth $$unsorted) % 207.36/210.32 (define @t1 () (@var "X" $$unsorted)) % 207.36/210.32 (define @t2 () (tptp.implies tptp.truth @t1)) % 207.36/210.32 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 207.36/210.32 (define @t4 () (@var "Z" $$unsorted)) % 207.36/210.32 (define @t5 () (@var "Y" $$unsorted)) % 207.36/210.32 (define @t6 () (tptp.implies @t1 @t5)) % 207.36/210.32 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 207.36/210.32 (define @t8 () (forall (@list @t1 @t5 @t4) (= @t7 tptp.truth))) % 207.36/210.32 (define @t9 () (tptp.implies @t5 @t1)) % 207.36/210.32 (define @t10 () (@list @t1 @t5)) % 207.36/210.32 (define @t11 () (tptp.implies tptp.z tptp.y)) % 207.36/210.32 (define @t12 () (tptp.implies tptp.z tptp.x)) % 207.36/210.32 (define @t13 () (tptp.implies @t12 @t11)) % 207.36/210.32 (define @t14 () (tptp.implies tptp.x tptp.y)) % 207.36/210.32 (define @t15 () (tptp.implies @t14 @t13)) % 207.36/210.32 (define @t16 () (tptp.implies @t14 @t11)) % 207.36/210.32 (define @t17 () (tptp.implies (tptp.implies @t16 @t11) @t13)) % 207.36/210.32 (define @t18 () (tptp.implies tptp.truth @t11)) % 207.36/210.32 (define @t19 () (tptp.implies @t16 @t18)) % 207.36/210.32 (define @t20 () (tptp.implies tptp.truth @t14)) % 207.36/210.32 (define @t21 () (tptp.implies @t20 @t13)) % 207.36/210.32 (define @t22 () (tptp.implies @t19 @t13)) % 207.36/210.32 (define @t23 () (tptp.implies @t22 @t21)) % 207.36/210.32 (define @t24 () (tptp.implies @t20 @t19)) % 207.36/210.32 (define @t25 () (tptp.implies @t24 @t23)) % 207.36/210.32 (define @t26 () (= tptp.truth @t25)) % 207.36/210.32 (define @t27 () (not @t26)) % 207.36/210.32 (define @t28 () (= tptp.truth @t24)) % 207.36/210.32 (define @t29 () (not @t28)) % 207.36/210.32 (define @t30 () (= @t14 @t20)) % 207.36/210.32 (define @t31 () (not @t30)) % 207.36/210.32 (define @t32 () (= @t15 (tptp.implies tptp.truth @t15))) % 207.36/210.32 (define @t33 () (not @t32)) % 207.36/210.32 (define @t34 () (= @t11 @t18)) % 207.36/210.32 (define @t35 () (not @t34)) % 207.36/210.32 (define @t36 () (tptp.implies tptp.truth @t17)) % 207.36/210.32 (define @t37 () (= @t17 @t36)) % 207.36/210.32 (define @t38 () (not @t37)) % 207.36/210.32 (define @t39 () (tptp.implies @t12 @t16)) % 207.36/210.32 (define @t40 () (= tptp.truth (tptp.implies @t39 @t17))) % 207.36/210.32 (define @t41 () (not @t40)) % 207.36/210.32 (define @t42 () (= tptp.truth @t39)) % 207.36/210.32 (define @t43 () (not @t42)) % 207.36/210.32 (define @t44 () (= tptp.truth @t15)) % 207.36/210.32 (define @t45 () (not @t44)) % 207.36/210.32 (define @t46 () (and @t27 @t26)) % 207.36/210.32 (assume @p1 @t3) % 207.36/210.32 (assume @p2 @t8) % 207.36/210.32 (assume @p3 (forall @t10 (= (tptp.implies @t6 @t5) (tptp.implies @t9 @t1)))) % 207.36/210.32 (assume @p4 (forall @t10 (= (tptp.implies (tptp.implies (tptp.not @t1) (tptp.not @t5)) @t9) tptp.truth))) % 207.36/210.32 (assume @p5 (not (= @t15 tptp.truth))) % 207.36/210.32 (step @p6 :rule symm :premises (@p5)) % 207.36/210.32 (step @p7 :rule eq-symm :args (@t7 tptp.truth)) % 207.36/210.32 (step @p8 :rule cong :premises (@p7) :args (@t8)) % 207.36/210.32 (step @p9 :rule eq_resolve :premises (@p2 @p8)) % 207.36/210.32 (step @p10 :rule instantiate :premises (@p9) :args ((@list tptp.z tptp.x tptp.y))) % 207.36/210.32 (step @p11 :rule instantiate :premises (@p9) :args ((@list @t12 @t16 @t11))) % 207.36/210.32 (step @p12 :rule eq-symm :args (@t2 @t1)) % 207.36/210.32 (step @p13 :rule cong :premises (@p12) :args (@t3)) % 207.36/210.32 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 207.36/210.32 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t17))) % 207.36/210.32 (step @p16 :rule instantiate :premises (@p14) :args ((@list @t11))) % 207.36/210.32 (step @p17 :rule instantiate :premises (@p14) :args ((@list @t15))) % 207.36/210.32 (step @p18 :rule instantiate :premises (@p14) :args ((@list @t14))) % 207.36/210.32 (step @p19 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t14 @t11))) % 207.36/210.32 (step @p20 :rule instantiate :premises (@p9) :args ((@list @t20 @t19 @t13))) % 207.36/210.32 (step @p21 :rule refl :args (@t27)) % 207.36/210.32 (step @p22 :rule refl :args (@t29)) % 207.36/210.32 (step @p23 :rule refl :args (@t31)) % 207.36/210.32 (step @p24 :rule refl :args (@t33)) % 207.36/210.32 (step @p25 :rule refl :args (@t35)) % 207.36/210.32 (step @p26 :rule refl :args (@t38)) % 207.36/210.32 (step @p27 :rule refl :args (@t41)) % 207.36/210.32 (step @p28 :rule refl :args (@t43)) % 207.36/210.32 (step @p29 :rule bool-double-not-elim :args (@t44)) % 207.36/210.32 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21) :args ((or (not @t45) @t43 @t41 @t38 @t35 @t33 @t31 @t29 @t27))) % 207.36/210.32 (assume-push @p89 @t27) % 207.36/210.32 (assume-push @p90 @t26) % 207.36/210.32 (step @p33 :rule evaluate :args ((= false true))) % 207.36/210.32 (step @p34 :rule true_intro :premises (@p20)) % 207.36/210.32 (step @p35 :rule false_intro :premises (@p6)) % 207.36/210.32 (step @p36 :rule symm :premises (@p17)) % 207.36/210.32 (step @p37 :rule refl :args (@t13)) % 207.36/210.32 (step @p38 :rule symm :premises (@p18)) % 207.36/210.32 (step @p39 :rule cong :premises (@p38 @p37) :args (@t21)) % 207.36/210.32 (step @p40 :rule symm :premises (@p11)) % 207.36/210.32 (step @p41 :rule refl :args (@t17)) % 207.36/210.32 (step @p42 :rule cong :premises (@p10 @p41) :args (@t36)) % 207.36/210.32 (step @p43 :rule symm :premises (@p16)) % 207.36/210.32 (step @p44 :rule refl :args (@t16)) % 207.36/210.32 (step @p45 :rule cong :premises (@p44 @p43) :args (@t19)) % 207.36/210.32 (step @p46 :rule cong :premises (@p45 @p37) :args (@t22)) % 207.36/210.32 (step @p47 :rule trans :premises (@p46 @p15 @p42 @p40)) % 207.36/210.32 (step @p48 :rule cong :premises (@p47 @p39) :args (@t23)) % 207.36/210.32 (step @p49 :rule trans :premises (@p48 @p36)) % 207.36/210.32 (step @p50 :rule symm :premises (@p19)) % 207.36/210.32 (step @p51 :rule cong :premises (@p50 @p49) :args (@t25)) % 207.36/210.32 (step @p52 :rule trans :premises (@p51 @p36)) % 207.36/210.32 (step @p53 :rule refl :args (tptp.truth)) % 207.36/210.32 (step @p54 :rule cong :premises (@p53 @p52) :args (@t26)) % 207.36/210.32 (step @p55 :rule trans :premises (@p54 @p35)) % 207.36/210.32 (step @p56 :rule symm :premises (@p55)) % 207.36/210.32 (step @p57 :rule trans :premises (@p56 @p34)) % 207.36/210.32 (step @p58 false :rule eq_resolve :premises (@p57 @p33)) % 207.36/210.32 (step-pop @p91 :rule scope :premises (@p58)) % 207.36/210.32 (step-pop @p92 :rule scope :premises (@p91)) % 207.36/210.32 (step @p59 :rule process_scope :premises (@p92) :args (false)) % 207.36/210.32 (assume-push @p93 @t45) % 207.36/210.32 (assume-push @p94 @t42) % 207.36/210.32 (assume-push @p95 @t40) % 207.36/210.32 (assume-push @p96 @t37) % 207.36/210.32 (assume-push @p97 @t34) % 207.36/210.32 (assume-push @p98 @t32) % 207.36/210.32 (assume-push @p99 @t30) % 207.36/210.32 (assume-push @p100 @t28) % 207.36/210.32 (assume-push @p101 @t26) % 207.36/210.32 (step @p35 :rule false_intro :premises (@p6)) % 207.36/210.32 (step @p36 :rule symm :premises (@p17)) % 207.36/210.32 (step @p37 :rule refl :args (@t13)) % 207.36/210.32 (step @p38 :rule symm :premises (@p18)) % 207.36/210.32 (step @p39 :rule cong :premises (@p38 @p37) :args (@t21)) % 207.36/210.32 (step @p40 :rule symm :premises (@p11)) % 207.36/210.32 (step @p41 :rule refl :args (@t17)) % 207.36/210.32 (step @p42 :rule cong :premises (@p10 @p41) :args (@t36)) % 207.36/210.32 (step @p43 :rule symm :premises (@p16)) % 207.36/210.32 (step @p44 :rule refl :args (@t16)) % 207.36/210.32 (step @p45 :rule cong :premises (@p44 @p43) :args (@t19)) % 207.36/210.32 (step @p46 :rule cong :premises (@p45 @p37) :args (@t22)) % 207.36/210.32 (step @p47 :rule trans :premises (@p46 @p15 @p42 @p40)) % 207.36/210.32 (step @p48 :rule cong :premises (@p47 @p39) :args (@t23)) % 207.36/210.32 (step @p49 :rule trans :premises (@p48 @p36)) % 207.36/210.32 (step @p50 :rule symm :premises (@p19)) % 207.36/210.32 (step @p51 :rule cong :premises (@p50 @p49) :args (@t25)) % 207.36/210.32 (step @p52 :rule trans :premises (@p51 @p36)) % 207.36/210.32 (step @p53 :rule refl :args (tptp.truth)) % 207.36/210.32 (step @p54 :rule cong :premises (@p53 @p52) :args (@t26)) % 207.36/210.32 (step @p71 :rule trans :premises (@p54 @p35)) % 207.36/210.32 (step @p72 :rule false_elim :premises (@p71)) % 207.36/210.32 (step @p73 :rule and_intro :premises (@p72 @p20)) % 207.36/210.32 (step-pop @p102 :rule scope :premises (@p73)) % 207.36/210.32 (step-pop @p103 :rule scope :premises (@p102)) % 207.36/210.32 (step-pop @p104 :rule scope :premises (@p103)) % 207.36/210.32 (step-pop @p105 :rule scope :premises (@p104)) % 207.36/210.32 (step-pop @p106 :rule scope :premises (@p105)) % 207.36/210.32 (step-pop @p107 :rule scope :premises (@p106)) % 207.36/210.32 (step-pop @p108 :rule scope :premises (@p107)) % 207.36/210.32 (step-pop @p109 :rule scope :premises (@p108)) % 207.36/210.32 (step-pop @p110 :rule scope :premises (@p109)) % 207.36/210.32 (step @p74 :rule process_scope :premises (@p110) :args (@t46)) % 207.36/210.32 (step @p84 :rule implies_elim :premises (@p74)) % 207.36/210.32 (step @p85 :rule resolution :premises (@p84 @p59) :args (true @t46)) % 207.36/210.32 (step @p86 :rule not_and :premises (@p85)) % 207.36/210.32 (step @p87 :rule eq_resolve :premises (@p86 @p30)) % 207.36/210.32 (step @p88 false :rule chain_m_resolution :premises (@p87 @p20 @p19 @p18 @p17 @p16 @p15 @p11 @p10 @p6) :args (false (@list false false false false false false false false true) (@list @t26 @t28 @t30 @t32 @t34 @t37 @t40 @t42 @t44))) % 207.36/210.32 ) % 207.36/210.33 % SZS output end Proof % 207.36/210.33 % cvc5 exiting %------------------------------------------------------------------------------