%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN077-1 : 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 : n003.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 09:08:01 AM UTC 2026 % Result : Unsatisfiable 63.60s 63.83s % Output : Proof 63.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN077-1 : 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 % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:19:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.57 --- Run --no-e-matching --full-saturate-quant at 6... % 21.44/21.60 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.42/27.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.53/33.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.53/63.76 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.60/63.83 % SZS status Unsatisfiable % 63.60/63.83 % SZS output start Proof % 63.60/63.83 ( % 63.60/63.83 (declare-sort $$unsorted 0) % 63.60/63.83 (declare-const tptp.i (-> $$unsorted $$unsorted $$unsorted)) % 63.60/63.83 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 63.60/63.83 (declare-const tptp.a $$unsorted) % 63.60/63.83 (declare-const tptp.g (-> $$unsorted $$unsorted $$unsorted)) % 63.60/63.83 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 63.60/63.83 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 63.60/63.83 (define @t1 () (@var "Y" $$unsorted)) % 63.60/63.83 (define @t2 () (@var "X" $$unsorted)) % 63.60/63.83 (define @t3 () (= @t2 @t1)) % 63.60/63.83 (define @t4 () (tptp.f @t1)) % 63.60/63.83 (define @t5 () (tptp.big_f @t2 @t4)) % 63.60/63.83 (define @t6 () (@list @t2 @t1)) % 63.60/63.83 (define @t7 () (forall @t6 (or (not @t5) @t3))) % 63.60/63.83 (define @t8 () (not @t3)) % 63.60/63.83 (define @t9 () (or @t8 @t5)) % 63.60/63.83 (define @t10 () (forall @t6 @t9)) % 63.60/63.83 (define @t11 () (tptp.g @t2 @t1)) % 63.60/63.83 (define @t12 () (not (tptp.big_f @t2 @t1))) % 63.60/63.83 (define @t13 () (tptp.big_f @t2 tptp.a)) % 63.60/63.83 (define @t14 () (not @t13)) % 63.60/63.83 (define @t15 () (@var "Z" $$unsorted)) % 63.60/63.83 (define @t16 () (tptp.h @t2)) % 63.60/63.83 (define @t17 () (@list @t2)) % 63.60/63.83 (define @t18 () (@list tptp.a)) % 63.60/63.83 (define @t19 () (tptp.big_f tptp.a tptp.a)) % 63.60/63.83 (define @t20 () (tptp.h tptp.a)) % 63.60/63.83 (define @t21 () (tptp.big_f tptp.a @t20)) % 63.60/63.83 (define @t22 () (or @t21 @t19)) % 63.60/63.83 (define @t23 () (@list tptp.a tptp.a)) % 63.60/63.83 (define @t24 () (tptp.i tptp.a tptp.a)) % 63.60/63.83 (define @t25 () (tptp.big_f @t24 tptp.a)) % 63.60/63.83 (define @t26 () (not @t21)) % 63.60/63.83 (define @t27 () (or @t26 @t25 @t19)) % 63.60/63.83 (define @t28 () (tptp.big_f @t24 @t20)) % 63.60/63.83 (define @t29 () (or @t19 @t28 @t26)) % 63.60/63.83 (define @t30 () (tptp.g @t24 @t20)) % 63.60/63.83 (define @t31 () (tptp.big_f @t30 @t20)) % 63.60/63.83 (define @t32 () (not @t28)) % 63.60/63.83 (define @t33 () (not @t25)) % 63.60/63.83 (define @t34 () (or @t33 @t32 @t31)) % 63.60/63.83 (define @t35 () (tptp.i tptp.a @t30)) % 63.60/63.83 (define @t36 () (tptp.big_f @t35 @t30)) % 63.60/63.83 (define @t37 () (not @t31)) % 63.60/63.83 (define @t38 () (or @t37 @t36 @t19)) % 63.60/63.83 (define @t39 () (tptp.big_f @t35 @t20)) % 63.60/63.83 (define @t40 () (or @t19 @t39 @t37)) % 63.60/63.83 (define @t41 () (not @t39)) % 63.60/63.83 (define @t42 () (not @t36)) % 63.60/63.83 (define @t43 () (or @t33 @t32 @t42 @t41)) % 63.60/63.83 (define @t44 () (tptp.f tptp.a)) % 63.60/63.83 (define @t45 () (tptp.g tptp.a @t44)) % 63.60/63.83 (define @t46 () (tptp.big_f @t45 @t44)) % 63.60/63.83 (define @t47 () (not @t46)) % 63.60/63.83 (define @t48 () (or @t47 (= @t45 tptp.a))) % 63.60/63.83 (define @t49 () (= tptp.a @t45)) % 63.60/63.83 (define @t50 () (or @t47 @t49)) % 63.60/63.83 (define @t51 () (tptp.big_f @t1 @t4)) % 63.60/63.83 (define @t52 () (not (= @t1 @t1))) % 63.60/63.83 (define @t53 () (or @t52 @t51)) % 63.60/63.83 (define @t54 () (@list @t1)) % 63.60/63.83 (define @t55 () (or @t8 @t8 @t5)) % 63.60/63.83 (define @t56 () (forall @t17 @t9)) % 63.60/63.83 (define @t57 () (forall @t54 @t56)) % 63.60/63.83 (define @t58 () (forall (@list @t1 @t2) @t9)) % 63.60/63.83 (define @t59 () (tptp.big_f tptp.a @t44)) % 63.60/63.83 (define @t60 () (not @t59)) % 63.60/63.83 (define @t61 () (not @t19)) % 63.60/63.83 (define @t62 () (or @t61 @t60 @t46)) % 63.60/63.83 (define @t63 () (@list false false false)) % 63.60/63.83 (define @t64 () (tptp.big_f tptp.a @t45)) % 63.60/63.83 (define @t65 () (not @t64)) % 63.60/63.83 (define @t66 () (or @t61 @t60 @t65 @t60)) % 63.60/63.83 (assume @p1 @t7) % 63.60/63.83 (assume @p2 @t10) % 63.60/63.83 (assume @p3 (forall @t6 (or @t14 @t12 (tptp.big_f @t11 @t1)))) % 63.60/63.83 (assume @p4 (forall (@list @t2 @t1 @t15) (or @t14 @t12 (not (tptp.big_f @t15 @t11)) (not (tptp.big_f @t15 @t1))))) % 63.60/63.83 (assume @p5 (forall @t17 (or (tptp.big_f @t2 @t16) @t13))) % 63.60/63.83 (assume @p6 (forall @t6 (or (not (tptp.big_f @t2 (tptp.h @t1))) (tptp.big_f (tptp.i @t1 @t2) @t2) (tptp.big_f @t1 tptp.a)))) % 63.60/63.83 (assume @p7 (forall @t6 (or @t13 (tptp.big_f (tptp.i @t2 @t1) @t16) (not (tptp.big_f @t1 @t16))))) % 63.60/63.83 (step @p8 :rule evaluate :args ((= false true))) % 63.60/63.83 (step @p9 :rule instantiate :premises (@p5) :args (@t18)) % 63.60/63.83 (step @p10 :rule cnf_or_pos :args (@t22)) % 63.60/63.83 (step @p11 :rule reordering :premises (@p10) :args ((or @t19 @t21 (not @t22)))) % 63.60/63.83 (step @p12 :rule instantiate :premises (@p6) :args (@t23)) % 63.60/63.83 (step @p13 :rule cnf_or_pos :args (@t27)) % 63.60/63.83 (step @p14 :rule reordering :premises (@p13) :args ((or @t19 @t26 @t25 (not @t27)))) % 63.60/63.83 (step @p15 :rule instantiate :premises (@p7) :args (@t23)) % 63.60/63.83 (step @p16 :rule cnf_or_pos :args (@t29)) % 63.60/63.83 (step @p17 :rule reordering :premises (@p16) :args ((or @t19 @t26 @t28 (not @t29)))) % 63.60/63.83 (step @p18 :rule instantiate :premises (@p3) :args ((@list @t24 @t20))) % 63.60/63.83 (step @p19 :rule cnf_or_pos :args (@t34)) % 63.60/63.83 (step @p20 :rule reordering :premises (@p19) :args ((or @t33 @t32 @t31 (not @t34)))) % 63.60/63.83 (step @p21 :rule instantiate :premises (@p6) :args ((@list @t30 tptp.a))) % 63.60/63.83 (step @p22 :rule cnf_or_pos :args (@t38)) % 63.60/63.83 (step @p23 :rule reordering :premises (@p22) :args ((or @t19 @t37 @t36 (not @t38)))) % 63.60/63.83 (step @p24 :rule instantiate :premises (@p7) :args ((@list tptp.a @t30))) % 63.60/63.83 (step @p25 :rule cnf_or_pos :args (@t40)) % 63.60/63.83 (step @p26 :rule reordering :premises (@p25) :args ((or @t19 @t37 @t39 (not @t40)))) % 63.60/63.83 (step @p27 :rule instantiate :premises (@p4) :args ((@list @t24 @t20 @t35))) % 63.60/63.83 (step @p28 :rule cnf_or_pos :args (@t43)) % 63.60/63.83 (step @p29 :rule reordering :premises (@p28) :args ((or @t33 @t32 @t42 @t41 (not @t43)))) % 63.60/63.83 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26 @p24 @p23 @p21 @p20 @p18 @p17 @p15 @p14 @p12 @p11 @p9) :args (@t19 (@list false false false false false false false false false false false false false) (@list @t43 @t39 @t40 @t36 @t38 @t31 @t34 @t28 @t29 @t25 @t27 @t21 @t22))) % 63.60/63.83 (step @p31 :rule true_intro :premises (@p30)) % 63.60/63.83 (step @p32 :rule eq-symm :args (@t45 tptp.a)) % 63.60/63.83 (step @p33 :rule refl :args (@t47)) % 63.60/63.83 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t48)) % 63.60/63.83 (step @p35 :rule refl :args (@t7)) % 63.60/63.83 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t7 @t48))) % 63.60/63.83 (assume-push @p84 @t7) % 63.60/63.83 (step @p38 :rule instantiate :premises (@p1) :args ((@list @t45 tptp.a))) % 63.60/63.83 (step-pop @p85 :rule scope :premises (@p38)) % 63.60/63.83 (step @p39 :rule process_scope :premises (@p85) :args (@t48)) % 63.60/63.83 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 63.60/63.83 (step @p42 :rule implies_elim :premises (@p41)) % 63.60/63.83 (step @p43 :rule chain_m_resolution :premises (@p42 @p1) :args (@t50 (@list false) (@list @t7))) % 63.60/63.83 (step @p44 :rule instantiate :premises (@p3) :args ((@list tptp.a @t44))) % 63.60/63.83 (step @p45 :rule aci_norm :args ((= (or false @t51) @t51))) % 63.60/63.83 (step @p46 :rule refl :args (@t51)) % 63.60/63.83 (step @p47 :rule evaluate :args ((not true))) % 63.60/63.83 (step @p48 :rule eq-refl :args (@t1)) % 63.60/63.83 (step @p49 :rule cong :premises (@p48) :args (@t52)) % 63.60/63.83 (step @p50 :rule trans :premises (@p49 @p47)) % 63.60/63.83 (step @p51 :rule nary_cong :premises (@p50 @p46) :args (@t53)) % 63.60/63.83 (step @p52 :rule trans :premises (@p51 @p45)) % 63.60/63.83 (step @p53 :rule cong :premises (@p52) :args ((forall @t54 @t53))) % 63.60/63.83 (step @p54 :rule quant-var-elim-eq :args ((= (forall @t17 @t55) @t53))) % 63.60/63.83 (step @p55 :rule aci_norm :args ((= @t9 @t55))) % 63.60/63.83 (step @p56 :rule cong :premises (@p55) :args (@t56)) % 63.60/63.83 (step @p57 :rule trans :premises (@p56 @p54)) % 63.60/63.83 (step @p58 :rule cong :premises (@p57) :args (@t57)) % 63.60/63.83 (step @p59 :rule quant-merge-prenex :args ((= @t57 @t58))) % 63.60/63.83 (step @p60 :rule symm :premises (@p59)) % 63.60/63.83 (step @p61 :rule quant_var_reordering :args ((= @t10 @t58))) % 63.60/63.83 (step @p62 :rule trans :premises (@p61 @p60 @p58)) % 63.60/63.83 (step @p63 :rule trans :premises (@p62 @p53)) % 63.60/63.83 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 63.60/63.83 (step @p65 :rule instantiate :premises (@p64) :args (@t18)) % 63.60/63.83 (step @p66 :rule cnf_or_pos :args (@t62)) % 63.60/63.83 (step @p67 :rule reordering :premises (@p66) :args ((or @t60 @t61 @t46 (not @t62)))) % 63.60/63.83 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p30 @p44) :args (@t46 @t63 (@list @t59 @t19 @t62))) % 63.60/63.83 (step @p69 :rule cnf_or_pos :args (@t50)) % 63.60/63.83 (step @p70 :rule reordering :premises (@p69) :args ((or @t47 @t49 (not @t50)))) % 63.60/63.83 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p43) :args (@t49 (@list false false) (@list @t46 @t50))) % 63.60/63.83 (step @p72 :rule symm :premises (@p71)) % 63.60/63.83 (step @p73 :rule refl :args (tptp.a)) % 63.60/63.83 (step @p74 :rule cong :premises (@p73 @p72) :args (@t64)) % 63.60/63.83 (step @p75 :rule instantiate :premises (@p4) :args ((@list tptp.a @t44 tptp.a))) % 63.60/63.83 (step @p76 :rule cnf_or_pos :args (@t66)) % 63.60/63.83 (step @p77 :rule factoring :premises (@p76)) % 63.60/63.83 (step @p78 :rule reordering :premises (@p77) :args ((or @t60 @t61 @t65 (not @t66)))) % 63.60/63.83 (step @p79 :rule chain_m_resolution :premises (@p78 @p65 @p30 @p75) :args (@t65 @t63 (@list @t59 @t19 @t66))) % 63.60/63.83 (step @p80 :rule false_intro :premises (@p79)) % 63.60/63.83 (step @p81 :rule symm :premises (@p80)) % 63.60/63.83 (step @p82 :rule trans :premises (@p81 @p74 @p31)) % 63.60/63.83 (step @p83 false :rule eq_resolve :premises (@p82 @p8)) % 63.60/63.83 ) % 63.60/63.83 % SZS output end Proof % 63.60/63.83 % cvc5 exiting %------------------------------------------------------------------------------