%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN947+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 09:10:07 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 : SYN947+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:49:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----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 $$unsorted 0) % 0.37/0.56 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.r (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.r @t1)) % 0.37/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.p @t3)) % 0.37/0.56 (define @t5 () (or @t4 @t2)) % 0.37/0.56 (define @t6 () (@list @t3)) % 0.37/0.56 (define @t7 () (forall @t6 @t5)) % 0.37/0.56 (define @t8 () (@list @t1)) % 0.37/0.56 (define @t9 () (exists @t8 @t7)) % 0.37/0.56 (define @t10 () (tptp.q @t3)) % 0.37/0.56 (define @t11 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t12 () (tptp.p @t11)) % 0.37/0.56 (define @t13 () (and @t12 @t10)) % 0.37/0.56 (define @t14 () (exists @t6 @t13)) % 0.37/0.56 (define @t15 () (@list @t11)) % 0.37/0.56 (define @t16 () (forall @t15 @t14)) % 0.37/0.56 (define @t17 () (=> @t16 @t9)) % 0.37/0.56 (define @t18 () (not @t17)) % 0.37/0.56 (define @t19 () (forall @t6 @t4)) % 0.37/0.56 (define @t20 () (not @t19)) % 0.37/0.56 (define @t21 () (forall @t8 @t20)) % 0.37/0.56 (define @t22 () (not @t2)) % 0.37/0.56 (define @t23 () (forall @t8 @t22)) % 0.37/0.56 (define @t24 () (and @t23 @t21)) % 0.37/0.56 (define @t25 () (or @t2 @t19)) % 0.37/0.56 (define @t26 () (forall @t8 (not @t25))) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (or @t2 @t4)) % 0.37/0.56 (define @t29 () (not @t10)) % 0.37/0.56 (define @t30 () (forall @t6 @t29)) % 0.37/0.56 (define @t31 () (not @t30)) % 0.37/0.56 (define @t32 () (forall @t15 @t31)) % 0.37/0.56 (define @t33 () (forall @t15 @t12)) % 0.37/0.56 (define @t34 () (@var "BOUND_VARIABLE_7443" $$unsorted)) % 0.37/0.56 (define @t35 () (@list @t34)) % 0.37/0.56 (define @t36 () (and @t33 @t32)) % 0.37/0.56 (define @t37 () (not @t12)) % 0.37/0.56 (define @t38 () (or @t37 @t30)) % 0.37/0.56 (define @t39 () (forall @t6 (not @t13))) % 0.37/0.56 (define @t40 () (not @t39)) % 0.37/0.56 (define @t41 () (forall (@list @t34) (tptp.p @t34))) % 0.37/0.56 (define @t42 () (@list false)) % 0.37/0.56 (assume @p1 @t18) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule quant-unused-vars :args ((= @t21 @t20))) % 0.37/0.56 (step @p4 :rule alpha_equiv :args (@t23 (@list @t1) (@list (@var "BOUND_VARIABLE_7461" $$unsorted)))) % 0.37/0.56 (step @p5 :rule nary_cong :premises (@p4 @p3) :args (@t24)) % 0.37/0.56 (step @p6 :rule quant-miniscope-and :args ((= (forall @t8 (and @t22 @t20)) @t24))) % 0.37/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.37/0.56 (step @p8 :rule bool-or-de-morgan :args (@t2 @t19 false)) % 0.37/0.56 (step @p9 :rule cong :premises (@p8) :args (@t26)) % 0.37/0.56 (step @p10 :rule trans :premises (@p9 @p7)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10) :args (@t27)) % 0.37/0.56 (step @p12 :rule exists-elim :args ((= (exists @t8 @t25) @t27))) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.56 (step @p14 :rule quant-miniscope-or :args ((= (forall @t6 @t28) @t25))) % 0.37/0.56 (step @p15 :rule aci_norm :args ((= @t5 @t28))) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.37/0.56 (step @p17 :rule trans :premises (@p16 @p14)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17) :args (@t9)) % 0.37/0.56 (step @p19 :rule trans :premises (@p18 @p13)) % 0.37/0.56 (step @p20 :rule quant-unused-vars :args ((= @t32 @t31))) % 0.37/0.56 (step @p21 :rule alpha_equiv :args (@t33 (@list @t11) @t35)) % 0.37/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t36)) % 0.37/0.56 (step @p23 :rule quant-miniscope-and :args ((= (forall @t15 (and @t12 @t31)) @t36))) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.56 (step @p25 :rule refl :args (@t31)) % 0.37/0.56 (step @p26 :rule bool-double-not-elim :args (@t12)) % 0.37/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((and (not @t37) @t31))) % 0.37/0.56 (step @p28 :rule bool-or-de-morgan :args (@t37 @t30 false)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t15 (not @t38)))) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p24)) % 0.37/0.56 (step @p32 :rule quant-miniscope-or :args ((= (forall @t6 (or @t37 @t29)) @t38))) % 0.37/0.56 (step @p33 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33) :args (@t39)) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p32)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args (@t40)) % 0.37/0.56 (step @p37 :rule exists-elim :args ((= @t14 @t40))) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38) :args (@t16)) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p31)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40 @p19) :args (@t17)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args (@t18)) % 0.37/0.56 (step @p43 :rule eq_resolve :premises (@p1 @p42)) % 0.37/0.56 (step @p44 :rule not_implies_elim1 :premises (@p43)) % 0.37/0.56 (step @p45 :rule and_elim :premises (@p44) :args (0)) % 0.37/0.56 (step @p46 :rule alpha_equiv :args (@t41 @t35 (@list @t3))) % 0.37/0.56 (step @p47 :rule equiv_elim1 :premises (@p46)) % 0.37/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t19 (not @t41)))) % 0.37/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p45) :args (@t19 @t42 (@list @t41))) % 0.37/0.56 (step @p50 :rule not_implies_elim2 :premises (@p43)) % 0.37/0.56 (step @p51 :rule not_not_elim :premises (@p50)) % 0.37/0.56 (step @p52 :rule and_elim :premises (@p51) :args (1)) % 0.37/0.56 (step @p53 false :rule chain_m_resolution :premises (@p52 @p49) :args (false @t42 (@list @t19))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------