%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:07:25 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.35s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:14:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.35 % SZS status Unsatisfiable % 0.15/0.35 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.prop1 (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.nil $$unsorted) % 0.15/0.36 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.btrue $$unsorted) % 0.15/0.36 (declare-const tptp.bfalse $$unsorted) % 0.15/0.36 (define @t1 () (@var "Z" $$unsorted)) % 0.15/0.36 (define @t2 () (@list @t1)) % 0.15/0.36 (define @t3 () (@var "Xs" $$unsorted)) % 0.15/0.36 (define @t4 () (@var "Y" $$unsorted)) % 0.15/0.36 (define @t5 () (@var "X" $$unsorted)) % 0.15/0.36 (define @t6 () (tptp.prop1 @t5)) % 0.15/0.36 (define @t7 () (@list @t5)) % 0.15/0.36 (define @t8 () (tptp.eq tptp.btrue tptp.bfalse)) % 0.15/0.36 (define @t9 () (tptp.eq @t5 @t5)) % 0.15/0.36 (define @t10 () (forall @t7 (= @t9 tptp.btrue))) % 0.15/0.36 (define @t11 () (tptp.eq @t6 tptp.bfalse)) % 0.15/0.36 (define @t12 () (not (= @t11 tptp.btrue))) % 0.15/0.36 (define @t13 () (forall @t7 @t12)) % 0.15/0.36 (define @t14 () (@list tptp.nil)) % 0.15/0.36 (define @t15 () (tptp.eq tptp.bfalse tptp.bfalse)) % 0.15/0.36 (define @t16 () (= tptp.btrue @t15)) % 0.15/0.36 (define @t17 () (forall @t7 (= tptp.btrue @t9))) % 0.15/0.36 (assume @p1 (forall @t2 (= (tptp.aux @t1 tptp.btrue) tptp.bfalse))) % 0.15/0.36 (assume @p2 (forall @t2 (= (tptp.aux @t1 tptp.bfalse) tptp.btrue))) % 0.15/0.36 (assume @p3 (= (tptp.h tptp.nil) tptp.nil)) % 0.15/0.36 (assume @p4 (forall (@list @t4 @t3) (= (tptp.h (tptp.cons @t4 @t3)) @t3))) % 0.15/0.36 (assume @p5 (= (tptp.g tptp.btrue) tptp.bfalse)) % 0.15/0.36 (assume @p6 (= (tptp.g tptp.bfalse) tptp.btrue)) % 0.15/0.36 (assume @p7 (= (tptp.f tptp.nil) tptp.btrue)) % 0.15/0.36 (assume @p8 (forall (@list @t4 @t1) (= (tptp.f (tptp.cons @t4 @t1)) (tptp.aux @t1 (tptp.f @t1))))) % 0.15/0.36 (assume @p9 (forall @t7 (= @t6 (tptp.eq (tptp.f @t5) tptp.bfalse)))) % 0.15/0.36 (assume @p10 (= (tptp.eq tptp.bfalse tptp.btrue) tptp.bfalse)) % 0.15/0.36 (assume @p11 (= @t8 tptp.bfalse)) % 0.15/0.36 (assume @p12 @t10) % 0.15/0.36 (assume @p13 @t13) % 0.15/0.36 (step @p14 :rule eq-symm :args (@t9 tptp.btrue)) % 0.15/0.36 (step @p15 :rule cong :premises (@p14) :args (@t10)) % 0.15/0.36 (step @p16 :rule eq_resolve :premises (@p12 @p15)) % 0.15/0.36 (step @p17 :rule eq-symm :args (@t11 tptp.btrue)) % 0.15/0.36 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 0.15/0.36 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 0.15/0.36 (step @p20 :rule eq_resolve :premises (@p13 @p19)) % 0.15/0.36 (step @p21 :rule instantiate :premises (@p20) :args (@t14)) % 0.15/0.36 (step @p22 :rule false_intro :premises (@p21)) % 0.15/0.36 (step @p23 :rule refl :args (tptp.bfalse)) % 0.15/0.36 (step @p24 :rule instantiate :premises (@p9) :args (@t14)) % 0.15/0.36 (step @p25 :rule symm :premises (@p24)) % 0.15/0.36 (step @p26 :rule symm :premises (@p7)) % 0.15/0.36 (step @p27 :rule cong :premises (@p26 @p23) :args (@t8)) % 0.15/0.36 (step @p28 :rule symm :premises (@p11)) % 0.15/0.36 (step @p29 :rule trans :premises (@p28 @p27 @p25)) % 0.15/0.36 (step @p30 :rule cong :premises (@p29 @p23) :args (@t15)) % 0.15/0.36 (step @p31 :rule refl :args (tptp.btrue)) % 0.15/0.36 (step @p32 :rule cong :premises (@p31 @p30) :args (@t16)) % 0.15/0.36 (step @p33 :rule trans :premises (@p32 @p22)) % 0.15/0.36 (step @p34 :rule false_elim :premises (@p33)) % 0.15/0.36 (assume-push @p41 @t17) % 0.15/0.36 (step @p36 :rule instantiate :premises (@p16) :args ((@list tptp.bfalse))) % 0.15/0.36 (step-pop @p42 :rule scope :premises (@p36)) % 0.15/0.36 (step @p37 :rule process_scope :premises (@p42) :args (@t16)) % 0.15/0.36 (step @p39 :rule implies_elim :premises (@p37)) % 0.15/0.36 (step @p40 false :rule chain_m_resolution :premises (@p39 @p34 @p16) :args (false (@list true false) (@list @t16 @t17))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting 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