%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN398+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 : n027.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 09:08:48 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN398+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 % 0.17/0.35 % Computer : n027.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 23:26:51 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort $$unsorted 0) % 0.27/0.55 (declare-const tptp.p Bool) % 0.27/0.55 (declare-const tptp.f (-> $$unsorted Bool)) % 0.27/0.55 (define @t1 () (@var "Y" $$unsorted)) % 0.27/0.55 (define @t2 () (forall (@list @t1) (tptp.f @t1))) % 0.27/0.55 (define @t3 () (and tptp.p @t2)) % 0.27/0.55 (define @t4 () (@var "X" $$unsorted)) % 0.27/0.55 (define @t5 () (tptp.f @t4)) % 0.27/0.55 (define @t6 () (@list @t4)) % 0.27/0.55 (define @t7 () (forall @t6 (and tptp.p @t5))) % 0.27/0.55 (define @t8 () (= @t7 @t3)) % 0.27/0.55 (define @t9 () (not @t8)) % 0.27/0.55 (define @t10 () (not @t3)) % 0.27/0.55 (define @t11 () (@var "BOUND_VARIABLE_7422" $$unsorted)) % 0.27/0.55 (define @t12 () (forall (@list @t11) (tptp.f @t11))) % 0.27/0.55 (define @t13 () (and tptp.p @t12)) % 0.27/0.55 (define @t14 () (not @t13)) % 0.27/0.55 (define @t15 () (forall @t6 @t5)) % 0.27/0.55 (define @t16 () (@list @t11)) % 0.27/0.55 (define @t17 () (forall @t6 tptp.p)) % 0.27/0.55 (define @t18 () (and @t17 @t15)) % 0.27/0.55 (define @t19 () (@list false)) % 0.27/0.55 (define @t20 () (@list @t13)) % 0.27/0.55 (assume @p1 @t9) % 0.27/0.55 (assume @p2 true) % 0.27/0.55 (step @p3 :rule cnf_and_pos :args (@t3 0)) % 0.27/0.55 (step @p4 :rule reordering :premises (@p3) :args ((or tptp.p @t10))) % 0.27/0.55 (step @p5 :rule cnf_and_pos :args (@t13 0)) % 0.27/0.55 (step @p6 :rule reordering :premises (@p5) :args ((or tptp.p @t14))) % 0.27/0.55 (step @p7 :rule eq-symm :args (@t13 @t3)) % 0.27/0.55 (step @p8 :rule refl :args (@t3)) % 0.27/0.55 (step @p9 :rule alpha_equiv :args (@t15 (@list @t4) @t16)) % 0.27/0.55 (step @p10 :rule quant-unused-vars :args ((= @t17 tptp.p))) % 0.27/0.55 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t18)) % 0.27/0.55 (step @p12 :rule quant-miniscope-and :args ((= @t7 @t18))) % 0.27/0.55 (step @p13 :rule trans :premises (@p12 @p11)) % 0.27/0.55 (step @p14 :rule cong :premises (@p13 @p8) :args (@t8)) % 0.27/0.55 (step @p15 :rule trans :premises (@p14 @p7)) % 0.27/0.55 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.27/0.55 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.27/0.55 (step @p18 :rule not_equiv_elim1 :premises (@p17)) % 0.27/0.55 (step @p19 :rule chain_m_resolution :premises (@p18 @p6 @p4) :args (tptp.p (@list true true) (@list @t13 @t3))) % 0.27/0.55 (step @p20 :rule cnf_and_neg :args (@t13)) % 0.27/0.55 (step @p21 :rule cnf_and_pos :args (@t3 1)) % 0.27/0.55 (step @p22 :rule reordering :premises (@p21) :args ((or @t2 @t10))) % 0.27/0.55 (step @p23 :rule alpha_equiv :args (@t2 (@list @t1) @t16)) % 0.27/0.55 (step @p24 :rule equiv_elim1 :premises (@p23)) % 0.27/0.55 (step @p25 :rule reordering :premises (@p24) :args ((or @t12 (not @t2)))) % 0.27/0.55 (step @p26 :rule chain_m_resolution :premises (@p25 @p22 @p20 @p19 @p18) :args (@t13 (@list false true false false) (@list @t2 @t12 tptp.p @t3))) % 0.27/0.55 (step @p27 :rule not_equiv_elim2 :premises (@p17)) % 0.27/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p26) :args (@t10 @t19 @t20)) % 0.27/0.55 (step @p29 :rule cnf_and_pos :args (@t13 1)) % 0.27/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t12 @t14))) % 0.27/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p26) :args (@t12 @t19 @t20)) % 0.27/0.55 (step @p32 :rule equiv_elim2 :premises (@p23)) % 0.27/0.55 (step @p33 :rule chain_m_resolution :premises (@p32 @p31) :args (@t2 @t19 (@list @t12))) % 0.27/0.55 (step @p34 :rule cnf_and_neg :args (@t3)) % 0.27/0.55 (step @p35 false :rule chain_m_resolution :premises (@p34 @p33 @p28 @p19) :args (false (@list false true false) (@list @t2 @t3 tptp.p))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------