%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN317+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 09:08:31 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN317+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:22:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.big_g @t1)) % 0.31/0.55 (define @t3 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t4 () (tptp.big_f @t3)) % 0.31/0.55 (define @t5 () (=> @t4 @t2)) % 0.31/0.55 (define @t6 () (@list @t3 @t1)) % 0.31/0.55 (define @t7 () (exists @t6 @t5)) % 0.31/0.55 (define @t8 () (tptp.big_g @t3)) % 0.31/0.55 (define @t9 () (=> @t4 @t8)) % 0.31/0.55 (define @t10 () (@list @t3)) % 0.31/0.55 (define @t11 () (exists @t10 @t9)) % 0.31/0.55 (define @t12 () (= @t11 @t7)) % 0.31/0.55 (define @t13 () (not @t12)) % 0.31/0.55 (define @t14 () (@var "BOUND_VARIABLE_7434" $$unsorted)) % 0.31/0.55 (define @t15 () (forall (@list @t14) (not (tptp.big_g @t14)))) % 0.31/0.55 (define @t16 () (@var "BOUND_VARIABLE_7429" $$unsorted)) % 0.31/0.55 (define @t17 () (forall (@list @t16) (tptp.big_f @t16))) % 0.31/0.55 (define @t18 () (and @t17 @t15)) % 0.31/0.55 (define @t19 () (not @t18)) % 0.31/0.55 (define @t20 () (@list @t16)) % 0.31/0.55 (define @t21 () (@var "BOUND_VARIABLE_7448" $$unsorted)) % 0.31/0.55 (define @t22 () (@var "BOUND_VARIABLE_7457" $$unsorted)) % 0.31/0.55 (define @t23 () (not (tptp.big_g @t22))) % 0.31/0.55 (define @t24 () (forall (@list @t22) @t23)) % 0.31/0.55 (define @t25 () (tptp.big_f @t21)) % 0.31/0.55 (define @t26 () (forall (@list @t21) @t25)) % 0.31/0.55 (define @t27 () (and @t26 @t24)) % 0.31/0.55 (define @t28 () (not @t27)) % 0.31/0.55 (define @t29 () (@var "BOUND_VARIABLE_7455" $$unsorted)) % 0.31/0.55 (define @t30 () (forall (@list @t29 @t22) @t23)) % 0.31/0.55 (define @t31 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.31/0.55 (define @t32 () (forall (@list @t21 @t31) @t25)) % 0.31/0.55 (define @t33 () (not @t2)) % 0.31/0.55 (define @t34 () (forall @t6 @t33)) % 0.31/0.55 (define @t35 () (@list @t3 @t1)) % 0.31/0.55 (define @t36 () (forall @t6 @t4)) % 0.31/0.55 (define @t37 () (and @t36 @t34)) % 0.31/0.55 (define @t38 () (forall @t6 (not @t5))) % 0.31/0.55 (define @t39 () (not @t38)) % 0.31/0.55 (define @t40 () (not @t8)) % 0.31/0.55 (define @t41 () (forall @t10 @t40)) % 0.31/0.55 (define @t42 () (@list @t3)) % 0.31/0.55 (define @t43 () (@list @t14)) % 0.31/0.55 (define @t44 () (forall @t10 @t4)) % 0.31/0.55 (define @t45 () (and @t44 @t41)) % 0.31/0.55 (define @t46 () (forall @t10 (not @t9))) % 0.31/0.55 (define @t47 () (not @t46)) % 0.31/0.55 (define @t48 () (@list false)) % 0.31/0.55 (assume @p1 @t13) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule cnf_and_pos :args (@t18 0)) % 0.31/0.55 (step @p4 :rule reordering :premises (@p3) :args ((or @t17 @t19))) % 0.31/0.55 (step @p5 :rule alpha_equiv :args (@t17 @t20 (@list @t21))) % 0.31/0.55 (step @p6 :rule equiv_elim2 :premises (@p5)) % 0.31/0.55 (step @p7 :rule bool-double-not-elim :args (@t27)) % 0.31/0.55 (step @p8 :rule bool-double-not-elim :args (@t18)) % 0.31/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t19) (not @t28)))) % 0.31/0.55 (step @p10 :rule quant-unused-vars :args ((= @t30 @t24))) % 0.31/0.55 (step @p11 :rule quant-unused-vars :args ((= @t32 @t26))) % 0.31/0.55 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((and @t32 @t30))) % 0.31/0.55 (step @p13 :rule alpha_equiv :args (@t34 @t35 (@list @t29 @t22))) % 0.31/0.55 (step @p14 :rule alpha_equiv :args (@t36 @t35 (@list @t21 @t31))) % 0.31/0.55 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t37)) % 0.31/0.55 (step @p16 :rule quant-miniscope-and :args ((= (forall @t6 (and @t4 @t33)) @t37))) % 0.31/0.55 (step @p17 :rule trans :premises (@p16 @p15)) % 0.31/0.55 (step @p18 :rule trans :premises (@p17 @p12)) % 0.31/0.55 (step @p19 :rule bool-implies-de-morgan :args (@t4 @t2)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19) :args (@t38)) % 0.31/0.55 (step @p21 :rule trans :premises (@p20 @p18)) % 0.31/0.55 (step @p22 :rule cong :premises (@p21) :args (@t39)) % 0.31/0.55 (step @p23 :rule exists-elim :args ((= @t7 @t39))) % 0.31/0.55 (step @p24 :rule trans :premises (@p23 @p22)) % 0.31/0.55 (step @p25 :rule alpha_equiv :args (@t41 @t42 @t43)) % 0.31/0.55 (step @p26 :rule alpha_equiv :args (@t44 @t42 @t20)) % 0.31/0.55 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t45)) % 0.31/0.55 (step @p28 :rule quant-miniscope-and :args ((= (forall @t10 (and @t4 @t40)) @t45))) % 0.31/0.55 (step @p29 :rule trans :premises (@p28 @p27)) % 0.31/0.55 (step @p30 :rule bool-implies-de-morgan :args (@t4 @t8)) % 0.31/0.55 (step @p31 :rule cong :premises (@p30) :args (@t46)) % 0.31/0.55 (step @p32 :rule trans :premises (@p31 @p29)) % 0.31/0.55 (step @p33 :rule cong :premises (@p32) :args (@t47)) % 0.31/0.55 (step @p34 :rule exists-elim :args ((= @t11 @t47))) % 0.31/0.55 (step @p35 :rule trans :premises (@p34 @p33)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35 @p24) :args (@t12)) % 0.31/0.55 (step @p37 :rule cong :premises (@p36) :args (@t13)) % 0.31/0.55 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.31/0.55 (step @p39 :rule not_equiv_elim2 :premises (@p38)) % 0.31/0.55 (step @p40 :rule eq_resolve :premises (@p39 @p9)) % 0.31/0.55 (step @p41 :rule cnf_and_pos :args (@t27 0)) % 0.31/0.55 (step @p42 :rule reordering :premises (@p41) :args ((or @t26 @t28))) % 0.31/0.55 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p6 @p4) :args (@t17 (@list false true true) (@list @t27 @t26 @t18))) % 0.31/0.55 (step @p44 :rule equiv_elim1 :premises (@p5)) % 0.31/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t26 (not @t17)))) % 0.31/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p43) :args (@t26 @t48 (@list @t17))) % 0.31/0.55 (step @p47 :rule cnf_and_pos :args (@t27 1)) % 0.31/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t24 @t28))) % 0.31/0.55 (step @p49 :rule not_equiv_elim1 :premises (@p38)) % 0.31/0.55 (step @p50 :rule alpha_equiv :args (@t15 @t43 (@list @t22))) % 0.31/0.55 (step @p51 :rule equiv_elim2 :premises (@p50)) % 0.31/0.55 (step @p52 :rule cnf_and_neg :args (@t18)) % 0.31/0.55 (step @p53 :rule chain_m_resolution :premises (@p52 @p43 @p51 @p49 @p48) :args (@t28 (@list false false true false) (@list @t17 @t15 @t18 @t24))) % 0.31/0.55 (step @p54 :rule cnf_and_neg :args (@t27)) % 0.31/0.55 (step @p55 :rule chain_m_resolution :premises (@p54 @p53 @p46) :args ((not @t24) (@list true false) (@list @t27 @t26))) % 0.31/0.55 (step @p56 :rule chain_m_resolution :premises (@p40 @p53) :args (@t18 (@list true) (@list @t27))) % 0.31/0.55 (step @p57 :rule cnf_and_pos :args (@t18 1)) % 0.31/0.55 (step @p58 :rule reordering :premises (@p57) :args ((or @t15 @t19))) % 0.31/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t15 @t48 (@list @t18))) % 0.31/0.55 (step @p60 :rule equiv_elim1 :premises (@p50)) % 0.31/0.55 (step @p61 :rule reordering :premises (@p60) :args ((or @t24 (not @t15)))) % 0.31/0.55 (step @p62 false :rule chain_m_resolution :premises (@p61 @p59 @p55) :args (false (@list false true) (@list @t15 @t24))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------