%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN346+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:08:38 AM UTC 2026 % Result : Theorem 0.35s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN346+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n002.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 23:24:48 EDT 2026 % 0.18/0.36 % CPUTime : % 0.35/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (define @t1 () (@var "Z2" $$unsorted)) % 0.35/0.59 (define @t2 () (@var "Y2" $$unsorted)) % 0.35/0.59 (define @t3 () (@var "X2" $$unsorted)) % 0.35/0.59 (define @t4 () (tptp.big_f @t3 @t1)) % 0.35/0.59 (define @t5 () (and @t4 (tptp.big_f @t2 @t1))) % 0.35/0.59 (define @t6 () (@var "Z1" $$unsorted)) % 0.35/0.59 (define @t7 () (@var "Y1" $$unsorted)) % 0.35/0.59 (define @t8 () (and (tptp.big_f @t7 @t6) (tptp.big_f @t2 @t6))) % 0.35/0.59 (define @t9 () (or @t8 @t5)) % 0.35/0.59 (define @t10 () (tptp.big_f @t7 @t1)) % 0.35/0.59 (define @t11 () (=> @t10 @t9)) % 0.35/0.59 (define @t12 () (tptp.big_f @t3 @t6)) % 0.35/0.59 (define @t13 () (@list @t6 @t1)) % 0.35/0.59 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.35/0.59 (define @t15 () (@list @t7 @t2)) % 0.35/0.59 (define @t16 () (exists @t15 @t14)) % 0.35/0.59 (define @t17 () (@list (@var "X1" $$unsorted) @t3)) % 0.35/0.59 (define @t18 () (forall @t17 @t16)) % 0.35/0.59 (define @t19 () (not @t18)) % 0.35/0.59 (define @t20 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.41/0.59 (define @t21 () (tptp.big_f @t20 @t1)) % 0.41/0.59 (define @t22 () (@var "BOUND_VARIABLE_7465" $$unsorted)) % 0.41/0.59 (define @t23 () (not (tptp.big_f @t22 @t1))) % 0.41/0.59 (define @t24 () (@list @t1)) % 0.41/0.59 (define @t25 () (@list @t22 @t20)) % 0.41/0.59 (define @t26 () (forall @t25 (not (forall @t24 (or @t23 (and @t4 @t21)))))) % 0.41/0.59 (define @t27 () (@var "BOUND_VARIABLE_7455" $$unsorted)) % 0.41/0.59 (define @t28 () (@var "BOUND_VARIABLE_7453" $$unsorted)) % 0.41/0.59 (define @t29 () (and (tptp.big_f @t28 @t6) (tptp.big_f @t27 @t6))) % 0.41/0.59 (define @t30 () (not @t12)) % 0.41/0.59 (define @t31 () (@list @t6)) % 0.41/0.59 (define @t32 () (@list @t28 @t27)) % 0.41/0.59 (define @t33 () (forall @t32 (not (forall @t31 (or @t30 @t29))))) % 0.41/0.59 (define @t34 () (or (not @t33) (not @t26))) % 0.41/0.59 (define @t35 () (forall (@list @t3) @t34)) % 0.41/0.59 (define @t36 () (not @t10)) % 0.41/0.59 (define @t37 () (or @t36 @t5)) % 0.41/0.59 (define @t38 () (forall @t24 @t37)) % 0.41/0.59 (define @t39 () (not @t38)) % 0.41/0.59 (define @t40 () (forall @t15 @t39)) % 0.41/0.59 (define @t41 () (@list @t7 @t2)) % 0.41/0.59 (define @t42 () (or @t30 @t8)) % 0.41/0.59 (define @t43 () (forall @t31 @t42)) % 0.41/0.59 (define @t44 () (not @t43)) % 0.41/0.59 (define @t45 () (forall @t15 @t44)) % 0.41/0.59 (define @t46 () (and @t45 @t40)) % 0.41/0.59 (define @t47 () (or @t43 @t38)) % 0.41/0.59 (define @t48 () (forall @t15 (not @t47))) % 0.41/0.59 (define @t49 () (not @t48)) % 0.41/0.59 (define @t50 () (or @t42 @t37)) % 0.41/0.59 (define @t51 () (or @t30 @t36 @t8 @t5)) % 0.41/0.59 (define @t52 () (or @t36 @t8 @t5)) % 0.41/0.59 (define @t53 () (@quantifiers_skolemize @t35 0)) % 0.41/0.59 (define @t54 () (tptp.big_f @t53 @t6)) % 0.41/0.59 (define @t55 () (not @t54)) % 0.41/0.59 (define @t56 () (forall @t32 (not (forall @t31 (or @t55 @t29))))) % 0.41/0.59 (define @t57 () (not @t56)) % 0.41/0.59 (define @t58 () (or @t57 (not (forall @t25 (not (forall @t24 (or @t23 (and (tptp.big_f @t53 @t1) @t21)))))))) % 0.41/0.59 (define @t59 () (and @t54 @t54)) % 0.41/0.59 (define @t60 () (or @t55 @t59)) % 0.41/0.59 (define @t61 () (forall @t31 @t60)) % 0.41/0.59 (define @t62 () (not @t61)) % 0.41/0.59 (assume @p1 @t19) % 0.41/0.59 (assume @p2 true) % 0.41/0.59 (step @p3 :rule quant-unused-vars :args ((= (forall @t17 @t34) @t35))) % 0.41/0.59 (step @p4 :rule bool-and-de-morgan :args (@t33 @t26 true)) % 0.41/0.59 (step @p5 :rule cong :premises (@p4) :args ((forall @t17 (not (and @t33 @t26))))) % 0.41/0.59 (step @p6 :rule trans :premises (@p5 @p3)) % 0.41/0.59 (step @p7 :rule alpha_equiv :args (@t40 @t41 (@list @t22 @t20))) % 0.41/0.59 (step @p8 :rule alpha_equiv :args (@t45 @t41 (@list @t28 @t27))) % 0.41/0.59 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t46)) % 0.41/0.59 (step @p10 :rule quant-miniscope-and :args ((= (forall @t15 (and @t44 @t39)) @t46))) % 0.41/0.59 (step @p11 :rule trans :premises (@p10 @p9)) % 0.41/0.59 (step @p12 :rule bool-or-de-morgan :args (@t43 @t38 false)) % 0.41/0.59 (step @p13 :rule cong :premises (@p12) :args (@t48)) % 0.41/0.59 (step @p14 :rule trans :premises (@p13 @p11)) % 0.41/0.59 (step @p15 :rule cong :premises (@p14) :args (@t49)) % 0.41/0.59 (step @p16 :rule exists-elim :args ((= (exists @t15 @t47) @t49))) % 0.41/0.59 (step @p17 :rule trans :premises (@p16 @p15)) % 0.41/0.59 (step @p18 :rule quant-miniscope-or :args ((= (forall @t13 @t50) @t47))) % 0.41/0.59 (step @p19 :rule aci_norm :args ((= @t51 @t50))) % 0.41/0.59 (step @p20 :rule cong :premises (@p19) :args ((forall @t13 @t51))) % 0.41/0.59 (step @p21 :rule trans :premises (@p20 @p18)) % 0.41/0.59 (step @p22 :rule aci_norm :args ((= (or @t30 @t52) @t51))) % 0.41/0.59 (step @p23 :rule aci_norm :args ((= (or @t36 @t9) @t52))) % 0.41/0.59 (step @p24 :rule bool-impl-elim :args (@t10 @t9)) % 0.41/0.59 (step @p25 :rule trans :premises (@p24 @p23)) % 0.41/0.59 (step @p26 :rule refl :args (@t30)) % 0.41/0.59 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t30 @t11))) % 0.41/0.59 (step @p28 :rule trans :premises (@p27 @p22)) % 0.41/0.59 (step @p29 :rule bool-impl-elim :args (@t12 @t11)) % 0.41/0.59 (step @p30 :rule trans :premises (@p29 @p28)) % 0.41/0.59 (step @p31 :rule cong :premises (@p30) :args (@t14)) % 0.41/0.59 (step @p32 :rule trans :premises (@p31 @p21)) % 0.41/0.59 (step @p33 :rule cong :premises (@p32) :args (@t16)) % 0.41/0.59 (step @p34 :rule trans :premises (@p33 @p17)) % 0.41/0.59 (step @p35 :rule cong :premises (@p34) :args (@t18)) % 0.41/0.59 (step @p36 :rule trans :premises (@p35 @p6)) % 0.41/0.59 (step @p37 :rule cong :premises (@p36) :args (@t19)) % 0.41/0.59 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.41/0.59 (step @p39 :rule skolemize :premises (@p38)) % 0.41/0.59 (step @p40 :rule bool-double-not-elim :args (@t56)) % 0.41/0.59 (step @p41 :rule refl :args (@t58)) % 0.41/0.59 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t58 (not @t57)))) % 0.41/0.59 (step @p43 :rule cnf_or_neg :args (@t58 0)) % 0.41/0.59 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.41/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t56 @t58))) % 0.41/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p39) :args (@t56 (@list true) (@list @t58))) % 0.41/0.59 (step @p47 :rule bool-impl-false1 :args (@t56)) % 0.41/0.59 (step @p48 :rule evaluate :args ((not true))) % 0.41/0.59 (step @p49 :rule quant-unused-vars :args ((= (forall @t31 true) true))) % 0.41/0.59 (step @p50 :rule bool-or-taut2 :args (false @t54 false false)) % 0.41/0.59 (step @p51 :rule cong :premises (@p50) :args ((forall @t31 (or @t55 @t54)))) % 0.41/0.59 (step @p52 :rule trans :premises (@p51 @p49)) % 0.41/0.59 (step @p53 :rule aci_norm :args ((= @t59 @t54))) % 0.41/0.59 (step @p54 :rule refl :args (@t55)) % 0.41/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t60)) % 0.41/0.59 (step @p56 :rule cong :premises (@p55) :args (@t61)) % 0.41/0.59 (step @p57 :rule trans :premises (@p56 @p52)) % 0.41/0.59 (step @p58 :rule cong :premises (@p57) :args (@t62)) % 0.41/0.59 (step @p59 :rule trans :premises (@p58 @p48)) % 0.41/0.59 (step @p60 :rule refl :args (@t56)) % 0.41/0.59 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t56 @t62))) % 0.41/0.59 (step @p62 :rule trans :premises (@p61 @p47)) % 0.41/0.59 (assume-push @p69 @t56) % 0.41/0.59 (step @p64 :rule instantiate :premises (@p46) :args ((@list @t53 @t53))) % 0.41/0.59 (step-pop @p70 :rule scope :premises (@p64)) % 0.41/0.59 (step @p65 :rule process_scope :premises (@p70) :args (@t62)) % 0.41/0.59 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.41/0.59 (step @p68 false :rule chain_m_resolution :premises (@p67 @p46) :args (false (@list false) (@list @t56))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------