%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN003-1 : TPTP v9.2.1. 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 : n009.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 08:22:50 AM UTC 2026 % Result : Unsatisfiable 169.87s 170.04s % Output : Proof 169.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN003-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n009.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 02:13:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.31/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.43/27.60 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.62/33.84 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.62/63.88 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.72/78.90 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.73/111.94 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.12/127.35 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.13/157.38 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 169.87/170.04 % SZS status Unsatisfiable % 169.87/170.04 % SZS output start Proof % 169.87/170.04 ( % 169.87/170.04 (declare-sort $$unsorted 0) % 169.87/170.04 (declare-const tptp.x $$unsorted) % 169.87/170.04 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 169.87/170.04 (declare-const tptp.identity $$unsorted) % 169.87/170.04 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 169.87/170.04 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 169.87/170.04 (declare-const tptp.zero $$unsorted) % 169.87/170.04 (define @t1 () (@var "Y" $$unsorted)) % 169.87/170.04 (define @t2 () (@var "X" $$unsorted)) % 169.87/170.04 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 169.87/170.04 (define @t4 () (tptp.less_equal @t2 @t1)) % 169.87/170.04 (define @t5 () (not @t4)) % 169.87/170.04 (define @t6 () (@list @t2 @t1)) % 169.87/170.04 (define @t7 () (@var "Z" $$unsorted)) % 169.87/170.04 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 169.87/170.04 (define @t9 () (@var "V5" $$unsorted)) % 169.87/170.04 (define @t10 () (@var "V4" $$unsorted)) % 169.87/170.04 (define @t11 () (@var "V1" $$unsorted)) % 169.87/170.04 (define @t12 () (@var "V2" $$unsorted)) % 169.87/170.04 (define @t13 () (@var "V3" $$unsorted)) % 169.87/170.04 (define @t14 () (@list @t2)) % 169.87/170.04 (define @t15 () (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 169.87/170.04 (define @t16 () (@var "W" $$unsorted)) % 169.87/170.04 (define @t17 () (tptp.divide tptp.x tptp.x)) % 169.87/170.04 (define @t18 () (@list @t17 tptp.zero)) % 169.87/170.04 (define @t19 () (tptp.divide @t17 tptp.zero)) % 169.87/170.04 (define @t20 () (tptp.divide tptp.zero tptp.identity)) % 169.87/170.04 (define @t21 () (tptp.less_equal @t20 @t19)) % 169.87/170.04 (define @t22 () (not @t21)) % 169.87/170.04 (define @t23 () (tptp.less_equal @t19 @t20)) % 169.87/170.04 (define @t24 () (not @t23)) % 169.87/170.04 (define @t25 () (or @t24 @t22 (= @t19 @t20))) % 169.87/170.04 (define @t26 () (= @t20 @t19)) % 169.87/170.04 (define @t27 () (or @t24 @t22 @t26)) % 169.87/170.04 (define @t28 () (@list tptp.zero tptp.identity)) % 169.87/170.04 (define @t29 () (tptp.quotient tptp.zero tptp.identity tptp.zero)) % 169.87/170.04 (define @t30 () (tptp.less_equal tptp.zero tptp.identity)) % 169.87/170.04 (define @t31 () (not @t30)) % 169.87/170.04 (define @t32 () (or @t31 @t29)) % 169.87/170.04 (define @t33 () (@list false false)) % 169.87/170.04 (define @t34 () (= tptp.zero @t20)) % 169.87/170.04 (define @t35 () (tptp.quotient tptp.zero tptp.identity @t20)) % 169.87/170.04 (define @t36 () (not @t35)) % 169.87/170.04 (define @t37 () (not @t29)) % 169.87/170.04 (define @t38 () (or @t37 @t36 @t34)) % 169.87/170.04 (define @t39 () (@list false false false)) % 169.87/170.04 (define @t40 () (tptp.divide tptp.x tptp.zero)) % 169.87/170.04 (define @t41 () (tptp.less_equal @t40 tptp.x)) % 169.87/170.04 (define @t42 () (tptp.quotient tptp.x tptp.zero @t40)) % 169.87/170.04 (define @t43 () (not @t42)) % 169.87/170.04 (define @t44 () (or @t43 @t41)) % 169.87/170.04 (define @t45 () (tptp.quotient @t40 tptp.x tptp.zero)) % 169.87/170.04 (define @t46 () (not @t41)) % 169.87/170.04 (define @t47 () (or @t46 @t45)) % 169.87/170.04 (define @t48 () (tptp.quotient @t40 tptp.x @t20)) % 169.87/170.04 (define @t49 () (tptp.quotient tptp.zero tptp.x tptp.zero)) % 169.87/170.04 (define @t50 () (tptp.less_equal tptp.zero tptp.x)) % 169.87/170.04 (define @t51 () (not @t50)) % 169.87/170.04 (define @t52 () (or @t51 @t49)) % 169.87/170.04 (define @t53 () (not @t48)) % 169.87/170.04 (define @t54 () (tptp.quotient @t17 tptp.zero @t19)) % 169.87/170.04 (define @t55 () (not @t54)) % 169.87/170.04 (define @t56 () (tptp.quotient tptp.x tptp.x @t17)) % 169.87/170.04 (define @t57 () (not @t56)) % 169.87/170.04 (define @t58 () (not @t49)) % 169.87/170.04 (define @t59 () (or @t43 @t58 @t57 @t55 @t53 @t23)) % 169.87/170.04 (define @t60 () (tptp.quotient @t17 tptp.zero tptp.zero)) % 169.87/170.04 (define @t61 () (tptp.less_equal @t17 tptp.zero)) % 169.87/170.04 (define @t62 () (not @t60)) % 169.87/170.04 (define @t63 () (or @t62 @t61)) % 169.87/170.04 (define @t64 () (= tptp.zero @t17)) % 169.87/170.04 (define @t65 () (not @t61)) % 169.87/170.04 (define @t66 () (tptp.less_equal tptp.zero @t17)) % 169.87/170.04 (define @t67 () (not @t66)) % 169.87/170.04 (define @t68 () (or @t67 @t65 @t64)) % 169.87/170.04 (assume @p1 (forall @t6 (or @t5 @t3))) % 169.87/170.04 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 169.87/170.04 (assume @p3 (forall (@list @t2 @t1 @t7) (or @t8 (tptp.less_equal @t7 @t2)))) % 169.87/170.04 (assume @p4 (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)))) % 169.87/170.04 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 169.87/170.04 (assume @p6 @t15) % 169.87/170.04 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 169.87/170.04 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 169.87/170.04 (assume @p9 (forall (@list @t2 @t1 @t7 @t16) (or @t8 (not (tptp.quotient @t2 @t1 @t16)) (= @t7 @t16)))) % 169.87/170.04 (assume @p10 (not (tptp.quotient tptp.x tptp.x tptp.zero))) % 169.87/170.04 (step @p11 :rule evaluate :args ((= true false))) % 169.87/170.04 (step @p12 :rule false_intro :premises (@p10)) % 169.87/170.04 (step @p13 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t17))) % 169.87/170.04 (step @p14 :rule instantiate :premises (@p2) :args (@t18)) % 169.87/170.04 (step @p15 :rule instantiate :premises (@p8) :args (@t18)) % 169.87/170.04 (step @p16 :rule true_intro :premises (@p15)) % 169.87/170.04 (step @p17 :rule eq-symm :args (@t19 @t20)) % 169.87/170.04 (step @p18 :rule refl :args (@t22)) % 169.87/170.04 (step @p19 :rule refl :args (@t24)) % 169.87/170.04 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t25)) % 169.87/170.04 (step @p21 :rule refl :args (@t15)) % 169.87/170.04 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t15 @t25))) % 169.87/170.04 (assume-push @p94 @t15) % 169.87/170.04 (step @p24 :rule instantiate :premises (@p6) :args ((@list @t19 @t20))) % 169.87/170.04 (step-pop @p95 :rule scope :premises (@p24)) % 169.87/170.04 (step @p25 :rule process_scope :premises (@p95) :args (@t25)) % 169.87/170.04 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 169.87/170.04 (step @p28 :rule implies_elim :premises (@p27)) % 169.87/170.04 (step @p29 :rule chain_m_resolution :premises (@p28 @p6) :args (@t27 (@list false) (@list @t15))) % 169.87/170.04 (step @p30 :rule instantiate :premises (@p5) :args ((@list @t19))) % 169.87/170.04 (step @p31 :rule true_intro :premises (@p30)) % 169.87/170.04 (step @p32 :rule refl :args (@t19)) % 169.87/170.04 (step @p33 :rule instantiate :premises (@p9) :args ((@list tptp.zero tptp.identity tptp.zero @t20))) % 169.87/170.04 (step @p34 :rule instantiate :premises (@p8) :args (@t28)) % 169.87/170.04 (step @p35 :rule instantiate :premises (@p1) :args (@t28)) % 169.87/170.04 (step @p36 :rule instantiate :premises (@p7) :args ((@list tptp.zero))) % 169.87/170.04 (step @p37 :rule cnf_or_pos :args (@t32)) % 169.87/170.04 (step @p38 :rule reordering :premises (@p37) :args ((or @t31 @t29 (not @t32)))) % 169.87/170.04 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35) :args (@t29 @t33 (@list @t30 @t32))) % 169.87/170.04 (step @p40 :rule cnf_or_pos :args (@t38)) % 169.87/170.04 (step @p41 :rule reordering :premises (@p40) :args ((or @t37 @t36 @t34 (not @t38)))) % 169.87/170.04 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p34 @p33) :args (@t34 @t39 (@list @t29 @t35 @t38))) % 169.87/170.04 (step @p43 :rule symm :premises (@p42)) % 169.87/170.04 (step @p44 :rule cong :premises (@p43 @p32) :args (@t21)) % 169.87/170.04 (step @p45 :rule trans :premises (@p44 @p31)) % 169.87/170.04 (step @p46 :rule true_elim :premises (@p45)) % 169.87/170.04 (step @p47 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.zero @t40 tptp.x tptp.zero @t17 @t19 @t20))) % 169.87/170.04 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t40 tptp.x))) % 169.87/170.04 (step @p49 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.zero @t40))) % 169.87/170.04 (step @p50 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.zero))) % 169.87/170.04 (step @p51 :rule cnf_or_pos :args (@t44)) % 169.87/170.04 (step @p52 :rule reordering :premises (@p51) :args ((or @t43 @t41 (not @t44)))) % 169.87/170.04 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p49) :args (@t41 @t33 (@list @t42 @t44))) % 169.87/170.04 (step @p54 :rule cnf_or_pos :args (@t47)) % 169.87/170.04 (step @p55 :rule reordering :premises (@p54) :args ((or @t46 @t45 (not @t47)))) % 169.87/170.04 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p48) :args (@t45 @t33 (@list @t41 @t47))) % 169.87/170.04 (step @p57 :rule true_intro :premises (@p56)) % 169.87/170.04 (step @p58 :rule refl :args (tptp.x)) % 169.87/170.04 (step @p59 :rule refl :args (@t40)) % 169.87/170.04 (step @p60 :rule cong :premises (@p59 @p58 @p43) :args (@t48)) % 169.87/170.04 (step @p61 :rule trans :premises (@p60 @p57)) % 169.87/170.04 (step @p62 :rule true_elim :premises (@p61)) % 169.87/170.04 (step @p63 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.x))) % 169.87/170.04 (step @p64 :rule instantiate :premises (@p1) :args ((@list tptp.zero tptp.x))) % 169.87/170.04 (step @p65 :rule instantiate :premises (@p5) :args ((@list tptp.x))) % 169.87/170.04 (step @p66 :rule cnf_or_pos :args (@t52)) % 169.87/170.04 (step @p67 :rule reordering :premises (@p66) :args ((or @t51 @t49 (not @t52)))) % 169.87/170.04 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p64) :args (@t49 @t33 (@list @t50 @t52))) % 169.87/170.04 (step @p69 :rule cnf_or_pos :args (@t59)) % 169.87/170.04 (step @p70 :rule reordering :premises (@p69) :args ((or @t58 @t43 @t57 @t55 @t23 @t53 (not @t59)))) % 169.87/170.04 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p50 @p63 @p15 @p62 @p47) :args (@t23 (@list false false false false false false) (@list @t49 @t42 @t56 @t54 @t48 @t59))) % 169.87/170.04 (step @p72 :rule cnf_or_pos :args (@t27)) % 169.87/170.04 (step @p73 :rule reordering :premises (@p72) :args ((or @t24 @t22 @t26 (not @t27)))) % 169.87/170.04 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p46 @p29) :args (@t26 @t39 (@list @t23 @t21 @t27))) % 169.87/170.04 (step @p75 :rule trans :premises (@p42 @p74)) % 169.87/170.04 (step @p76 :rule refl :args (tptp.zero)) % 169.87/170.04 (step @p77 :rule refl :args (@t17)) % 169.87/170.04 (step @p78 :rule cong :premises (@p77 @p76 @p75) :args (@t60)) % 169.87/170.04 (step @p79 :rule trans :premises (@p78 @p16)) % 169.87/170.04 (step @p80 :rule true_elim :premises (@p79)) % 169.87/170.04 (step @p81 :rule cnf_or_pos :args (@t63)) % 169.87/170.04 (step @p82 :rule reordering :premises (@p81) :args ((or @t61 @t62 (not @t63)))) % 169.87/170.04 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p14) :args (@t61 @t33 (@list @t60 @t63))) % 169.87/170.04 (step @p84 :rule instantiate :premises (@p5) :args ((@list @t17))) % 169.87/170.04 (step @p85 :rule cnf_or_pos :args (@t68)) % 169.87/170.04 (step @p86 :rule reordering :premises (@p85) :args ((or @t67 @t65 @t64 (not @t68)))) % 169.87/170.04 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p83 @p13) :args (@t64 @t39 (@list @t66 @t61 @t68))) % 169.87/170.04 (step @p88 :rule symm :premises (@p87)) % 169.87/170.04 (step @p89 :rule cong :premises (@p58 @p58 @p88) :args (@t56)) % 169.87/170.04 (step @p90 :rule true_intro :premises (@p63)) % 169.87/170.04 (step @p91 :rule symm :premises (@p90)) % 169.87/170.04 (step @p92 :rule trans :premises (@p91 @p89 @p12)) % 169.87/170.04 (step @p93 false :rule eq_resolve :premises (@p92 @p11)) % 169.87/170.04 ) % 169.87/170.05 % SZS output end Proof % 169.87/170.05 % cvc5 exiting %------------------------------------------------------------------------------