%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN006-2 : 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 : n001.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 08:22:52 AM UTC 2026 % Result : Unsatisfiable 211.99s 212.24s % Output : Proof 211.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN006-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n001.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 02:15:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----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... % 15.30/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.31/27.58 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.52/33.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.51/63.78 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.61/78.81 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.60/111.84 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.70/126.92 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.71/156.96 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 171.70/171.99 --- Run --relevant-triggers --full-saturate-quant at 30... % 201.70/202.03 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 211.99/212.24 % SZS status Unsatisfiable % 211.99/212.24 % SZS output start Proof % 211.99/212.25 ( % 211.99/212.25 (declare-sort $$unsorted 0) % 211.99/212.25 (declare-const tptp.z $$unsorted) % 211.99/212.25 (declare-const tptp.x $$unsorted) % 211.99/212.25 (declare-const tptp.y $$unsorted) % 211.99/212.25 (declare-const tptp.xQy $$unsorted) % 211.99/212.25 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 211.99/212.25 (declare-const tptp.identity $$unsorted) % 211.99/212.25 (declare-const tptp.xQz $$unsorted) % 211.99/212.25 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 211.99/212.25 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 211.99/212.25 (declare-const tptp.zero $$unsorted) % 211.99/212.25 (define @t1 () (@var "Y" $$unsorted)) % 211.99/212.25 (define @t2 () (@var "X" $$unsorted)) % 211.99/212.25 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 211.99/212.25 (define @t4 () (tptp.less_equal @t2 @t1)) % 211.99/212.25 (define @t5 () (not @t4)) % 211.99/212.25 (define @t6 () (@list @t2 @t1)) % 211.99/212.25 (define @t7 () (@var "Z" $$unsorted)) % 211.99/212.25 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 211.99/212.25 (define @t9 () (@list @t2 @t1 @t7)) % 211.99/212.25 (define @t10 () (@var "V5" $$unsorted)) % 211.99/212.25 (define @t11 () (@var "V4" $$unsorted)) % 211.99/212.25 (define @t12 () (@var "V1" $$unsorted)) % 211.99/212.25 (define @t13 () (@var "V2" $$unsorted)) % 211.99/212.25 (define @t14 () (@var "V3" $$unsorted)) % 211.99/212.25 (define @t15 () (@list @t2)) % 211.99/212.25 (define @t16 () (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 211.99/212.25 (define @t17 () (@var "W" $$unsorted)) % 211.99/212.25 (define @t18 () (tptp.quotient tptp.x tptp.y tptp.xQy)) % 211.99/212.25 (define @t19 () (tptp.less_equal tptp.xQy tptp.z)) % 211.99/212.25 (define @t20 () (tptp.quotient tptp.x tptp.z tptp.xQz)) % 211.99/212.25 (define @t21 () (tptp.less_equal tptp.xQz tptp.y)) % 211.99/212.25 (define @t22 () (tptp.divide tptp.y tptp.z)) % 211.99/212.25 (define @t23 () (tptp.divide tptp.xQz @t22)) % 211.99/212.25 (define @t24 () (@list tptp.xQz @t22)) % 211.99/212.25 (define @t25 () (tptp.less_equal @t23 tptp.xQz)) % 211.99/212.25 (define @t26 () (tptp.quotient tptp.xQz @t22 @t23)) % 211.99/212.25 (define @t27 () (not @t26)) % 211.99/212.25 (define @t28 () (or @t27 @t25)) % 211.99/212.25 (define @t29 () (@list false false)) % 211.99/212.25 (define @t30 () (tptp.quotient @t23 tptp.xQz tptp.zero)) % 211.99/212.25 (define @t31 () (not @t25)) % 211.99/212.25 (define @t32 () (or @t31 @t30)) % 211.99/212.25 (define @t33 () (tptp.less_equal tptp.zero @t23)) % 211.99/212.25 (define @t34 () (not @t30)) % 211.99/212.25 (define @t35 () (or @t34 @t33)) % 211.99/212.25 (define @t36 () (tptp.quotient tptp.xQy tptp.z tptp.zero)) % 211.99/212.25 (define @t37 () (not @t19)) % 211.99/212.25 (define @t38 () (or @t37 @t36)) % 211.99/212.25 (define @t39 () (tptp.less_equal @t23 tptp.zero)) % 211.99/212.25 (define @t40 () (not @t36)) % 211.99/212.25 (define @t41 () (not @t20)) % 211.99/212.25 (define @t42 () (tptp.quotient tptp.y tptp.z @t22)) % 211.99/212.25 (define @t43 () (not @t42)) % 211.99/212.25 (define @t44 () (not @t18)) % 211.99/212.25 (define @t45 () (or @t44 @t43 @t41 @t27 @t40 @t39)) % 211.99/212.25 (define @t46 () (tptp.less_equal @t22 tptp.y)) % 211.99/212.25 (define @t47 () (or @t43 @t46)) % 211.99/212.25 (define @t48 () (not @t46)) % 211.99/212.25 (define @t49 () (tptp.less_equal tptp.xQz @t22)) % 211.99/212.25 (define @t50 () (not @t49)) % 211.99/212.25 (define @t51 () (or @t50 @t48 @t21)) % 211.99/212.25 (define @t52 () (@list true false false)) % 211.99/212.25 (define @t53 () (tptp.quotient tptp.xQz @t22 tptp.zero)) % 211.99/212.25 (define @t54 () (not @t53)) % 211.99/212.25 (define @t55 () (or @t54 @t49)) % 211.99/212.25 (define @t56 () (@list true false)) % 211.99/212.25 (define @t57 () (= tptp.zero @t23)) % 211.99/212.25 (define @t58 () (not @t57)) % 211.99/212.25 (define @t59 () (and @t54 @t57 @t26)) % 211.99/212.25 (define @t60 () (not @t39)) % 211.99/212.25 (define @t61 () (not @t33)) % 211.99/212.25 (define @t62 () (or @t61 @t60 @t57)) % 211.99/212.25 (define @t63 () (not @t62)) % 211.99/212.25 (assume @p1 (forall @t6 (or @t5 @t3))) % 211.99/212.25 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 211.99/212.25 (assume @p3 (forall @t9 (or @t8 (tptp.less_equal @t7 @t2)))) % 211.99/212.25 (assume @p4 (forall (@list @t2 @t1 @t12 @t7 @t13 @t14 @t11 @t10) (or (not (tptp.quotient @t2 @t1 @t12)) (not (tptp.quotient @t1 @t7 @t13)) (not (tptp.quotient @t2 @t7 @t14)) (not (tptp.quotient @t14 @t13 @t11)) (not (tptp.quotient @t12 @t7 @t10)) (tptp.less_equal @t11 @t10)))) % 211.99/212.25 (assume @p5 (forall @t15 (tptp.less_equal tptp.zero @t2))) % 211.99/212.25 (assume @p6 @t16) % 211.99/212.25 (assume @p7 (forall @t15 (tptp.less_equal @t2 tptp.identity))) % 211.99/212.25 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 211.99/212.25 (assume @p9 (forall (@list @t2 @t1 @t7 @t17) (or @t8 (not (tptp.quotient @t2 @t1 @t17)) (= @t7 @t17)))) % 211.99/212.25 (assume @p10 (forall @t15 (tptp.quotient @t2 tptp.identity tptp.zero))) % 211.99/212.25 (assume @p11 (forall @t15 (tptp.quotient tptp.zero @t2 tptp.zero))) % 211.99/212.25 (assume @p12 (forall @t15 (tptp.quotient @t2 @t2 tptp.zero))) % 211.99/212.25 (assume @p13 (forall @t15 (tptp.quotient @t2 tptp.zero @t2))) % 211.99/212.25 (assume @p14 (forall @t9 (or @t5 (not (tptp.less_equal @t1 @t7)) (tptp.less_equal @t2 @t7)))) % 211.99/212.25 (assume @p15 @t18) % 211.99/212.25 (assume @p16 @t19) % 211.99/212.25 (assume @p17 @t20) % 211.99/212.25 (assume @p18 (not @t21)) % 211.99/212.25 (step @p19 :rule instantiate :premises (@p3) :args ((@list @t23 tptp.xQz tptp.zero))) % 211.99/212.25 (step @p20 :rule instantiate :premises (@p1) :args ((@list @t23 tptp.xQz))) % 211.99/212.25 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.xQz @t22 @t23))) % 211.99/212.25 (step @p22 :rule instantiate :premises (@p8) :args (@t24)) % 211.99/212.25 (step @p23 :rule cnf_or_pos :args (@t28)) % 211.99/212.25 (step @p24 :rule reordering :premises (@p23) :args ((or @t27 @t25 (not @t28)))) % 211.99/212.25 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p21) :args (@t25 @t29 (@list @t26 @t28))) % 211.99/212.25 (step @p26 :rule cnf_or_pos :args (@t32)) % 211.99/212.25 (step @p27 :rule reordering :premises (@p26) :args ((or @t31 @t30 (not @t32)))) % 211.99/212.25 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p20) :args (@t30 @t29 (@list @t25 @t32))) % 211.99/212.25 (step @p29 :rule cnf_or_pos :args (@t35)) % 211.99/212.25 (step @p30 :rule reordering :premises (@p29) :args ((or @t34 @t33 (not @t35)))) % 211.99/212.25 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p19) :args (@t33 @t29 (@list @t30 @t35))) % 211.99/212.25 (step @p32 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.y tptp.xQy tptp.z @t22 tptp.xQz @t23 tptp.zero))) % 211.99/212.25 (step @p33 :rule instantiate :premises (@p8) :args ((@list tptp.y tptp.z))) % 211.99/212.25 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.xQy tptp.z))) % 211.99/212.25 (step @p35 :rule cnf_or_pos :args (@t38)) % 211.99/212.25 (step @p36 :rule reordering :premises (@p35) :args ((or @t37 @t36 (not @t38)))) % 211.99/212.25 (step @p37 :rule chain_m_resolution :premises (@p36 @p16 @p34) :args (@t36 @t29 (@list @t19 @t38))) % 211.99/212.25 (step @p38 :rule cnf_or_pos :args (@t45)) % 211.99/212.25 (step @p39 :rule reordering :premises (@p38) :args ((or @t44 @t41 @t40 @t43 @t27 @t39 (not @t45)))) % 211.99/212.25 (step @p40 :rule chain_m_resolution :premises (@p39 @p15 @p17 @p37 @p33 @p22 @p32) :args (@t39 (@list false false false false false false) (@list @t18 @t20 @t36 @t42 @t26 @t45))) % 211.99/212.25 (step @p41 :rule instantiate :premises (@p2) :args (@t24)) % 211.99/212.25 (step @p42 :rule instantiate :premises (@p14) :args ((@list tptp.xQz @t22 tptp.y))) % 211.99/212.25 (step @p43 :rule instantiate :premises (@p3) :args ((@list tptp.y tptp.z @t22))) % 211.99/212.25 (step @p44 :rule cnf_or_pos :args (@t47)) % 211.99/212.25 (step @p45 :rule reordering :premises (@p44) :args ((or @t43 @t46 (not @t47)))) % 211.99/212.25 (step @p46 :rule chain_m_resolution :premises (@p45 @p33 @p43) :args (@t46 @t29 (@list @t42 @t47))) % 211.99/212.25 (step @p47 :rule cnf_or_pos :args (@t51)) % 211.99/212.25 (step @p48 :rule reordering :premises (@p47) :args ((or @t21 @t48 @t50 (not @t51)))) % 211.99/212.25 (step @p49 :rule chain_m_resolution :premises (@p48 @p18 @p46 @p42) :args (@t50 @t52 (@list @t21 @t46 @t51))) % 211.99/212.25 (step @p50 :rule cnf_or_pos :args (@t55)) % 211.99/212.25 (step @p51 :rule reordering :premises (@p50) :args ((or @t49 @t54 (not @t55)))) % 211.99/212.25 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p41) :args (@t54 @t56 (@list @t49 @t55))) % 211.99/212.25 (step @p53 :rule refl :args (@t58)) % 211.99/212.25 (step @p54 :rule refl :args (@t27)) % 211.99/212.25 (step @p55 :rule bool-double-not-elim :args (@t53)) % 211.99/212.25 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or (not @t54) @t27 @t58))) % 211.99/212.25 (assume-push @p96 @t54) % 211.99/212.25 (assume-push @p97 @t57) % 211.99/212.25 (assume-push @p98 @t26) % 211.99/212.25 (step @p60 :rule evaluate :args ((= true false))) % 211.99/212.25 (step @p61 :rule false_intro :premises (@p52)) % 211.99/212.25 (step @p62 :rule symm :premises (@p97)) % 211.99/212.25 (step @p63 :rule refl :args (@t22)) % 211.99/212.25 (step @p64 :rule refl :args (tptp.xQz)) % 211.99/212.25 (step @p65 :rule cong :premises (@p64 @p63 @p62) :args (@t26)) % 211.99/212.25 (step @p66 :rule true_intro :premises (@p22)) % 211.99/212.25 (step @p67 :rule symm :premises (@p66)) % 211.99/212.25 (step @p68 :rule trans :premises (@p67 @p65 @p61)) % 211.99/212.25 (step @p69 false :rule eq_resolve :premises (@p68 @p60)) % 211.99/212.25 (step-pop @p99 :rule scope :premises (@p69)) % 211.99/212.25 (step-pop @p100 :rule scope :premises (@p99)) % 211.99/212.25 (step-pop @p101 :rule scope :premises (@p100)) % 211.99/212.25 (step @p70 :rule process_scope :premises (@p101) :args (false)) % 211.99/212.25 (assume-push @p102 @t54) % 211.99/212.25 (assume-push @p103 @t26) % 211.99/212.25 (assume-push @p104 @t57) % 211.99/212.25 (step @p77 :rule and_intro :premises (@p52 @p104 @p22)) % 211.99/212.25 (step-pop @p105 :rule scope :premises (@p77)) % 211.99/212.25 (step-pop @p106 :rule scope :premises (@p105)) % 211.99/212.25 (step-pop @p107 :rule scope :premises (@p106)) % 211.99/212.25 (step @p78 :rule process_scope :premises (@p107) :args (@t59)) % 211.99/212.25 (step @p82 :rule implies_elim :premises (@p78)) % 211.99/212.25 (step @p83 :rule resolution :premises (@p82 @p70) :args (true @t59)) % 211.99/212.25 (step @p84 :rule not_and :premises (@p83)) % 211.99/212.25 (step @p85 :rule eq_resolve :premises (@p84 @p56)) % 211.99/212.25 (step @p86 :rule chain_m_resolution :premises (@p85 @p52 @p22) :args (@t58 @t56 (@list @t53 @t26))) % 211.99/212.25 (step @p87 :rule cnf_or_pos :args (@t62)) % 211.99/212.25 (step @p88 :rule reordering :premises (@p87) :args ((or @t57 @t60 @t61 @t63))) % 211.99/212.25 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p40 @p31) :args (@t63 @t52 (@list @t57 @t39 @t33))) % 211.99/212.25 (assume-push @p108 @t16) % 211.99/212.25 (step @p91 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t23))) % 211.99/212.25 (step-pop @p109 :rule scope :premises (@p91)) % 211.99/212.25 (step @p92 :rule process_scope :premises (@p109) :args (@t62)) % 211.99/212.25 (step @p94 :rule implies_elim :premises (@p92)) % 211.99/212.25 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p6) :args (false @t56 (@list @t62 @t16))) % 211.99/212.25 ) % 211.99/212.25 % SZS output end Proof % 211.99/212.25 % cvc5 exiting %------------------------------------------------------------------------------