%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN008-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:22:53 AM UTC 2026 % Result : Unsatisfiable 214.04s 214.22s % Output : Proof 214.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN008-1 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 02:14:56 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----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... % 15.32/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.75/33.99 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.85/64.03 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.85/79.07 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.84/112.12 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.02/127.22 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.03/157.25 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.04/172.28 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.14/202.33 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 214.04/214.22 % SZS status Unsatisfiable % 214.04/214.22 % SZS output start Proof % 214.04/214.22 ( % 214.04/214.22 (declare-sort $$unsorted 0) % 214.04/214.22 (declare-const tptp.c $$unsorted) % 214.04/214.22 (declare-const tptp.aQc $$unsorted) % 214.04/214.22 (declare-const tptp.a $$unsorted) % 214.04/214.22 (declare-const tptp.b $$unsorted) % 214.04/214.22 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 214.04/214.22 (declare-const tptp.identity $$unsorted) % 214.04/214.22 (declare-const tptp.bQc $$unsorted) % 214.04/214.22 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 214.04/214.22 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 214.04/214.22 (declare-const tptp.zero $$unsorted) % 214.04/214.22 (define @t1 () (@var "Y" $$unsorted)) % 214.04/214.22 (define @t2 () (@var "X" $$unsorted)) % 214.04/214.22 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 214.04/214.22 (define @t4 () (tptp.less_equal @t2 @t1)) % 214.04/214.22 (define @t5 () (not @t4)) % 214.04/214.22 (define @t6 () (@list @t2 @t1)) % 214.04/214.22 (define @t7 () (@var "Z" $$unsorted)) % 214.04/214.22 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 214.04/214.22 (define @t9 () (@var "V5" $$unsorted)) % 214.04/214.22 (define @t10 () (@var "V4" $$unsorted)) % 214.04/214.22 (define @t11 () (@var "V1" $$unsorted)) % 214.04/214.22 (define @t12 () (@var "V2" $$unsorted)) % 214.04/214.22 (define @t13 () (@var "V3" $$unsorted)) % 214.04/214.22 (define @t14 () (forall (@list @t2 @t1 @t11 @t7 @t12 @t13 @t10 @t9) (or (not (tptp.quotient @t2 @t1 @t11)) (not (tptp.quotient @t1 @t7 @t12)) (not (tptp.quotient @t2 @t7 @t13)) (not (tptp.quotient @t13 @t12 @t10)) (not (tptp.quotient @t11 @t7 @t9)) (tptp.less_equal @t10 @t9)))) % 214.04/214.22 (define @t15 () (@list @t2)) % 214.04/214.22 (define @t16 () (@var "W" $$unsorted)) % 214.04/214.22 (define @t17 () (tptp.less_equal tptp.a tptp.b)) % 214.04/214.22 (define @t18 () (tptp.quotient tptp.a tptp.c tptp.aQc)) % 214.04/214.22 (define @t19 () (tptp.quotient tptp.b tptp.c tptp.bQc)) % 214.04/214.22 (define @t20 () (tptp.less_equal tptp.aQc tptp.bQc)) % 214.04/214.22 (define @t21 () (tptp.divide tptp.aQc tptp.bQc)) % 214.04/214.22 (define @t22 () (@list tptp.aQc tptp.bQc)) % 214.04/214.22 (define @t23 () (tptp.less_equal @t21 tptp.aQc)) % 214.04/214.22 (define @t24 () (tptp.quotient tptp.aQc tptp.bQc @t21)) % 214.04/214.22 (define @t25 () (not @t24)) % 214.04/214.22 (define @t26 () (or @t25 @t23)) % 214.04/214.22 (define @t27 () (@list false false)) % 214.04/214.22 (define @t28 () (tptp.quotient @t21 tptp.aQc tptp.zero)) % 214.04/214.22 (define @t29 () (not @t23)) % 214.04/214.22 (define @t30 () (or @t29 @t28)) % 214.04/214.22 (define @t31 () (tptp.less_equal tptp.zero @t21)) % 214.04/214.22 (define @t32 () (not @t28)) % 214.04/214.22 (define @t33 () (or @t32 @t31)) % 214.04/214.22 (define @t34 () (tptp.quotient tptp.aQc tptp.bQc tptp.zero)) % 214.04/214.22 (define @t35 () (not @t34)) % 214.04/214.22 (define @t36 () (or @t35 @t20)) % 214.04/214.22 (define @t37 () (@list true false)) % 214.04/214.22 (define @t38 () (= tptp.zero @t21)) % 214.04/214.22 (define @t39 () (not @t38)) % 214.04/214.22 (define @t40 () (and @t35 @t38 @t24)) % 214.04/214.22 (define @t41 () (tptp.less_equal @t21 tptp.zero)) % 214.04/214.22 (define @t42 () (not @t41)) % 214.04/214.22 (define @t43 () (not @t31)) % 214.04/214.22 (define @t44 () (or @t43 @t42 @t38)) % 214.04/214.22 (define @t45 () (tptp.quotient tptp.zero tptp.c tptp.zero)) % 214.04/214.22 (define @t46 () (tptp.less_equal tptp.zero tptp.c)) % 214.04/214.22 (define @t47 () (not @t46)) % 214.04/214.22 (define @t48 () (or @t47 @t45)) % 214.04/214.22 (define @t49 () (tptp.quotient tptp.a tptp.b tptp.zero)) % 214.04/214.22 (define @t50 () (not @t17)) % 214.04/214.22 (define @t51 () (or @t50 @t49)) % 214.04/214.22 (define @t52 () (not @t45)) % 214.04/214.22 (define @t53 () (not @t18)) % 214.04/214.22 (define @t54 () (not @t19)) % 214.04/214.22 (define @t55 () (not @t49)) % 214.04/214.22 (define @t56 () (or @t55 @t54 @t53 @t25 @t52 @t41)) % 214.04/214.22 (define @t57 () (not @t56)) % 214.04/214.22 (assume @p1 (forall @t6 (or @t5 @t3))) % 214.04/214.22 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 214.04/214.22 (assume @p3 (forall (@list @t2 @t1 @t7) (or @t8 (tptp.less_equal @t7 @t2)))) % 214.04/214.22 (assume @p4 @t14) % 214.04/214.22 (assume @p5 (forall @t15 (tptp.less_equal tptp.zero @t2))) % 214.04/214.22 (assume @p6 (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 214.04/214.22 (assume @p7 (forall @t15 (tptp.less_equal @t2 tptp.identity))) % 214.04/214.22 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 214.04/214.22 (assume @p9 (forall (@list @t2 @t1 @t7 @t16) (or @t8 (not (tptp.quotient @t2 @t1 @t16)) (= @t7 @t16)))) % 214.04/214.22 (assume @p10 @t17) % 214.04/214.22 (assume @p11 @t18) % 214.04/214.22 (assume @p12 @t19) % 214.04/214.22 (assume @p13 (not @t20)) % 214.04/214.22 (step @p14 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t21))) % 214.04/214.22 (step @p15 :rule instantiate :premises (@p3) :args ((@list @t21 tptp.aQc tptp.zero))) % 214.04/214.22 (step @p16 :rule instantiate :premises (@p1) :args ((@list @t21 tptp.aQc))) % 214.04/214.22 (step @p17 :rule instantiate :premises (@p3) :args ((@list tptp.aQc tptp.bQc @t21))) % 214.04/214.22 (step @p18 :rule instantiate :premises (@p8) :args (@t22)) % 214.04/214.22 (step @p19 :rule cnf_or_pos :args (@t26)) % 214.04/214.22 (step @p20 :rule reordering :premises (@p19) :args ((or @t25 @t23 (not @t26)))) % 214.04/214.22 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p17) :args (@t23 @t27 (@list @t24 @t26))) % 214.04/214.22 (step @p22 :rule cnf_or_pos :args (@t30)) % 214.04/214.22 (step @p23 :rule reordering :premises (@p22) :args ((or @t29 @t28 (not @t30)))) % 214.04/214.22 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p16) :args (@t28 @t27 (@list @t23 @t30))) % 214.04/214.22 (step @p25 :rule cnf_or_pos :args (@t33)) % 214.04/214.22 (step @p26 :rule reordering :premises (@p25) :args ((or @t32 @t31 (not @t33)))) % 214.04/214.22 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p15) :args (@t31 @t27 (@list @t28 @t33))) % 214.04/214.22 (step @p28 :rule instantiate :premises (@p2) :args (@t22)) % 214.04/214.22 (step @p29 :rule cnf_or_pos :args (@t36)) % 214.04/214.22 (step @p30 :rule reordering :premises (@p29) :args ((or @t20 @t35 (not @t36)))) % 214.04/214.22 (step @p31 :rule chain_m_resolution :premises (@p30 @p13 @p28) :args (@t35 @t37 (@list @t20 @t36))) % 214.04/214.22 (step @p32 :rule refl :args (@t39)) % 214.04/214.22 (step @p33 :rule refl :args (@t25)) % 214.04/214.22 (step @p34 :rule bool-double-not-elim :args (@t34)) % 214.04/214.22 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args ((or (not @t35) @t25 @t39))) % 214.04/214.22 (assume-push @p87 @t35) % 214.04/214.22 (assume-push @p88 @t38) % 214.04/214.22 (assume-push @p89 @t24) % 214.04/214.22 (step @p39 :rule evaluate :args ((= true false))) % 214.04/214.22 (step @p40 :rule false_intro :premises (@p31)) % 214.04/214.22 (step @p41 :rule symm :premises (@p88)) % 214.04/214.22 (step @p42 :rule refl :args (tptp.bQc)) % 214.04/214.22 (step @p43 :rule refl :args (tptp.aQc)) % 214.04/214.22 (step @p44 :rule cong :premises (@p43 @p42 @p41) :args (@t24)) % 214.04/214.22 (step @p45 :rule true_intro :premises (@p18)) % 214.04/214.22 (step @p46 :rule symm :premises (@p45)) % 214.04/214.22 (step @p47 :rule trans :premises (@p46 @p44 @p40)) % 214.04/214.22 (step @p48 false :rule eq_resolve :premises (@p47 @p39)) % 214.04/214.22 (step-pop @p90 :rule scope :premises (@p48)) % 214.04/214.22 (step-pop @p91 :rule scope :premises (@p90)) % 214.04/214.22 (step-pop @p92 :rule scope :premises (@p91)) % 214.04/214.22 (step @p49 :rule process_scope :premises (@p92) :args (false)) % 214.04/214.22 (assume-push @p93 @t35) % 214.04/214.22 (assume-push @p94 @t24) % 214.04/214.22 (assume-push @p95 @t38) % 214.04/214.22 (step @p56 :rule and_intro :premises (@p31 @p95 @p18)) % 214.04/214.22 (step-pop @p96 :rule scope :premises (@p56)) % 214.04/214.22 (step-pop @p97 :rule scope :premises (@p96)) % 214.04/214.22 (step-pop @p98 :rule scope :premises (@p97)) % 214.04/214.22 (step @p57 :rule process_scope :premises (@p98) :args (@t40)) % 214.04/214.22 (step @p61 :rule implies_elim :premises (@p57)) % 214.04/214.22 (step @p62 :rule resolution :premises (@p61 @p49) :args (true @t40)) % 214.04/214.22 (step @p63 :rule not_and :premises (@p62)) % 214.04/214.22 (step @p64 :rule eq_resolve :premises (@p63 @p35)) % 214.04/214.22 (step @p65 :rule chain_m_resolution :premises (@p64 @p31 @p18) :args (@t39 @t37 (@list @t34 @t24))) % 214.04/214.22 (step @p66 :rule cnf_or_pos :args (@t44)) % 214.04/214.22 (step @p67 :rule reordering :premises (@p66) :args ((or @t38 @t43 @t42 (not @t44)))) % 214.04/214.22 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p27 @p14) :args (@t42 (@list true false false) (@list @t38 @t31 @t44))) % 214.04/214.22 (step @p69 :rule instantiate :premises (@p1) :args ((@list tptp.zero tptp.c))) % 214.04/214.22 (step @p70 :rule instantiate :premises (@p5) :args ((@list tptp.c))) % 214.04/214.22 (step @p71 :rule cnf_or_pos :args (@t48)) % 214.04/214.22 (step @p72 :rule reordering :premises (@p71) :args ((or @t45 @t47 (not @t48)))) % 214.04/214.22 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p69) :args (@t45 @t27 (@list @t46 @t48))) % 214.04/214.22 (step @p74 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.b))) % 214.04/214.22 (step @p75 :rule cnf_or_pos :args (@t51)) % 214.04/214.22 (step @p76 :rule reordering :premises (@p75) :args ((or @t50 @t49 (not @t51)))) % 214.04/214.22 (step @p77 :rule chain_m_resolution :premises (@p76 @p10 @p74) :args (@t49 @t27 (@list @t17 @t51))) % 214.04/214.22 (step @p78 :rule cnf_or_pos :args (@t56)) % 214.04/214.22 (step @p79 :rule reordering :premises (@p78) :args ((or @t53 @t54 @t55 @t52 @t25 @t41 @t57))) % 214.04/214.22 (step @p80 :rule chain_m_resolution :premises (@p79 @p11 @p12 @p77 @p73 @p18 @p68) :args (@t57 (@list false false false false false true) (@list @t18 @t19 @t49 @t45 @t24 @t41))) % 214.04/214.22 (assume-push @p99 @t14) % 214.04/214.22 (step @p82 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.b tptp.zero tptp.c tptp.bQc tptp.aQc @t21 tptp.zero))) % 214.04/214.22 (step-pop @p100 :rule scope :premises (@p82)) % 214.04/214.22 (step @p83 :rule process_scope :premises (@p100) :args (@t56)) % 214.04/214.22 (step @p85 :rule implies_elim :premises (@p83)) % 214.04/214.22 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p4) :args (false @t37 (@list @t56 @t14))) % 214.04/214.22 ) % 214.04/214.23 % SZS output end Proof % 214.04/214.23 % cvc5 exiting %------------------------------------------------------------------------------