%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN078+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 : 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 09:08:01 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN078+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.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 23:19:26 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.big_p (tptp.f @t1))) % 0.37/0.56 (define @t3 () (tptp.big_p @t1)) % 0.37/0.56 (define @t4 () (@list @t1)) % 0.37/0.56 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.37/0.56 (define @t6 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t7 () (tptp.big_p @t6)) % 0.37/0.56 (define @t8 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t9 () (= @t6 (tptp.f @t8))) % 0.37/0.56 (define @t10 () (tptp.big_p @t8)) % 0.37/0.56 (define @t11 () (and @t10 @t9)) % 0.37/0.56 (define @t12 () (@list @t8)) % 0.37/0.56 (define @t13 () (exists @t12 @t11)) % 0.37/0.56 (define @t14 () (=> @t13 @t7)) % 0.37/0.56 (define @t15 () (@list @t6)) % 0.37/0.56 (define @t16 () (forall @t15 @t14)) % 0.37/0.56 (define @t17 () (= @t16 @t5)) % 0.37/0.56 (define @t18 () (not @t17)) % 0.37/0.56 (define @t19 () (not @t3)) % 0.37/0.56 (define @t20 () (or @t2 @t19)) % 0.37/0.56 (define @t21 () (or @t19 @t2)) % 0.37/0.56 (define @t22 () (forall @t4 @t21)) % 0.37/0.56 (define @t23 () (forall @t4 @t20)) % 0.37/0.56 (define @t24 () (@var "BOUND_VARIABLE_7444" $$unsorted)) % 0.37/0.56 (define @t25 () (not (tptp.big_p @t24))) % 0.37/0.56 (define @t26 () (tptp.f @t24)) % 0.37/0.56 (define @t27 () (tptp.big_p @t26)) % 0.37/0.56 (define @t28 () (or @t27 @t25)) % 0.37/0.56 (define @t29 () (@list @t24)) % 0.37/0.56 (define @t30 () (forall @t29 @t28)) % 0.37/0.56 (define @t31 () (@list @t24)) % 0.37/0.56 (define @t32 () (not (= @t26 @t26))) % 0.37/0.56 (define @t33 () (or @t27 @t25 @t32)) % 0.37/0.56 (define @t34 () (not (= @t6 @t26))) % 0.37/0.56 (define @t35 () (or @t34 @t7 @t25 @t34)) % 0.37/0.56 (define @t36 () (or @t7 @t25 @t34)) % 0.37/0.56 (define @t37 () (forall @t15 @t36)) % 0.37/0.56 (define @t38 () (forall @t29 @t37)) % 0.37/0.56 (define @t39 () (forall (@list @t24 @t6) @t36)) % 0.37/0.56 (define @t40 () (@list @t6 @t24)) % 0.37/0.56 (define @t41 () (or @t25 @t34)) % 0.37/0.56 (define @t42 () (or @t41 @t7)) % 0.37/0.56 (define @t43 () (forall @t40 @t42)) % 0.37/0.56 (define @t44 () (forall @t29 @t42)) % 0.37/0.56 (define @t45 () (forall @t29 @t41)) % 0.37/0.56 (define @t46 () (or @t45 @t7)) % 0.37/0.56 (define @t47 () (forall @t12 (or (not @t10) (not @t9)))) % 0.37/0.56 (define @t48 () (not @t47)) % 0.37/0.56 (define @t49 () (forall @t12 (not @t11))) % 0.37/0.56 (define @t50 () (not @t49)) % 0.37/0.56 (assume @p1 @t18) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule aci_norm :args ((= @t21 @t20))) % 0.37/0.56 (step @p4 :rule cong :premises (@p3) :args (@t22)) % 0.37/0.56 (step @p5 :rule symm :premises (@p4)) % 0.37/0.56 (step @p6 :rule true_intro :premises (@p5)) % 0.37/0.56 (step @p7 :rule eq-symm :args (@t22 @t23)) % 0.37/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.37/0.56 (step @p9 :rule cong :premises (@p5 @p4) :args ((= @t23 @t22))) % 0.37/0.56 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.56 (step @p11 :rule true_elim :premises (@p10)) % 0.37/0.56 (step @p12 :rule alpha_equiv :args (@t30 @t31 (@list @t1))) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.56 (step @p14 :rule equiv_elim2 :premises (@p13)) % 0.37/0.56 (step @p15 :rule bool-impl-elim :args (@t3 @t2)) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args (@t5)) % 0.37/0.56 (step @p17 :rule aci_norm :args ((= (or @t27 @t25 false) @t28))) % 0.37/0.56 (step @p18 :rule evaluate :args ((not true))) % 0.37/0.56 (step @p19 :rule eq-refl :args (@t26)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args (@t32)) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.37/0.56 (step @p22 :rule refl :args (@t25)) % 0.37/0.56 (step @p23 :rule refl :args (@t27)) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args (@t33)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p17)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t29 @t33))) % 0.37/0.56 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t15 @t35) @t33))) % 0.37/0.56 (step @p28 :rule aci_norm :args ((= @t36 @t35))) % 0.37/0.56 (step @p29 :rule cong :premises (@p28) :args (@t37)) % 0.37/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30) :args (@t38)) % 0.37/0.56 (step @p32 :rule quant-merge-prenex :args ((= @t38 @t39))) % 0.37/0.56 (step @p33 :rule symm :premises (@p32)) % 0.37/0.56 (step @p34 :rule quant_var_reordering :args ((= (forall @t40 @t36) @t39))) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.37/0.56 (step @p36 :rule trans :premises (@p35 @p26)) % 0.37/0.56 (step @p37 :rule aci_norm :args ((= @t42 @t36))) % 0.37/0.56 (step @p38 :rule cong :premises (@p37) :args (@t43)) % 0.37/0.56 (step @p39 :rule trans :premises (@p38 @p36)) % 0.37/0.56 (step @p40 :rule quant-merge-prenex :args ((= (forall @t15 @t44) @t43))) % 0.37/0.56 (step @p41 :rule refl :args (@t7)) % 0.37/0.56 (step @p42 :rule alpha_equiv :args (@t45 @t31 (@list @t8))) % 0.37/0.56 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t46)) % 0.37/0.56 (step @p44 :rule quant-miniscope-or :args ((= @t44 @t46))) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule symm :premises (@p45)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46) :args ((forall @t15 (or @t47 @t7)))) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p40)) % 0.37/0.56 (step @p49 :rule trans :premises (@p48 @p39)) % 0.37/0.56 (step @p50 :rule bool-double-not-elim :args (@t47)) % 0.37/0.56 (step @p51 :rule nary_cong :premises (@p50 @p41) :args ((or (not @t48) @t7))) % 0.37/0.56 (step @p52 :rule bool-impl-elim :args (@t48 @t7)) % 0.37/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53) :args ((forall @t15 (=> @t48 @t7)))) % 0.37/0.56 (step @p55 :rule trans :premises (@p54 @p49)) % 0.37/0.56 (step @p56 :rule refl :args (@t7)) % 0.37/0.56 (step @p57 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57) :args (@t49)) % 0.37/0.56 (step @p59 :rule cong :premises (@p58) :args (@t50)) % 0.37/0.56 (step @p60 :rule exists-elim :args ((= @t13 @t50))) % 0.37/0.56 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.56 (step @p62 :rule cong :premises (@p61 @p56) :args (@t14)) % 0.37/0.56 (step @p63 :rule cong :premises (@p62) :args (@t16)) % 0.37/0.56 (step @p64 :rule trans :premises (@p63 @p55)) % 0.37/0.56 (step @p65 :rule cong :premises (@p64 @p16) :args (@t17)) % 0.37/0.56 (step @p66 :rule cong :premises (@p65) :args (@t18)) % 0.37/0.56 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 0.37/0.56 (step @p68 :rule not_equiv_elim1 :premises (@p67)) % 0.37/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p14) :args (@t30 (@list true) (@list @t22))) % 0.37/0.56 (step @p70 :rule equiv_elim1 :premises (@p13)) % 0.37/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t22 (not @t30)))) % 0.37/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p69) :args (@t22 (@list false) (@list @t30))) % 0.37/0.56 (step @p73 :rule not_equiv_elim2 :premises (@p67)) % 0.37/0.56 (step @p74 false :rule chain_m_resolution :premises (@p73 @p72 @p69) :args (false (@list false false) (@list @t22 @t30))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------