%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS178+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:29:04 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS178+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.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 05:28:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "S2" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "S1" $$unsorted)) % 0.39/0.57 (define @t3 () (@var "C" $$unsorted)) % 0.39/0.57 (define @t4 () (@var "Ax" $$unsorted)) % 0.39/0.57 (define @t5 () (tptp.status @t4 @t3 @t1)) % 0.39/0.57 (define @t6 () (tptp.status @t4 @t3 @t2)) % 0.39/0.57 (define @t7 () (@list @t4 @t3)) % 0.39/0.57 (define @t8 () (@list @t2 @t1)) % 0.39/0.57 (define @t9 () (tptp.isa @t2 @t1)) % 0.39/0.57 (define @t10 () (forall @t7 (=> @t6 @t5))) % 0.39/0.57 (define @t11 () (= @t10 @t9)) % 0.39/0.57 (define @t12 () (forall @t8 @t11)) % 0.39/0.57 (define @t13 () (not @t5)) % 0.39/0.57 (define @t14 () (@var "F" $$unsorted)) % 0.39/0.57 (define @t15 () (@var "I" $$unsorted)) % 0.39/0.57 (define @t16 () (tptp.model @t15 (tptp.not @t14))) % 0.39/0.57 (define @t17 () (tptp.model @t15 @t14)) % 0.39/0.57 (define @t18 () (@list @t15 @t14)) % 0.39/0.57 (define @t19 () (@list @t15)) % 0.39/0.57 (define @t20 () (@list @t14)) % 0.39/0.57 (define @t21 () (@var "I2" $$unsorted)) % 0.39/0.57 (define @t22 () (@list @t21)) % 0.39/0.57 (define @t23 () (@var "I1" $$unsorted)) % 0.39/0.57 (define @t24 () (@list @t23)) % 0.39/0.57 (define @t25 () (tptp.model @t21 @t3)) % 0.39/0.57 (define @t26 () (tptp.model @t21 @t4)) % 0.39/0.57 (define @t27 () (tptp.model @t23 @t3)) % 0.39/0.57 (define @t28 () (tptp.model @t23 @t4)) % 0.39/0.57 (define @t29 () (@var "I4" $$unsorted)) % 0.39/0.57 (define @t30 () (@var "I3" $$unsorted)) % 0.39/0.57 (define @t31 () (forall (@list @t2) (tptp.isa @t2 @t2))) % 0.39/0.57 (define @t32 () (forall @t7 (or (not @t6) @t5))) % 0.39/0.57 (define @t33 () (@quantifiers_skolemize @t31 0)) % 0.39/0.57 (define @t34 () (tptp.isa @t33 @t33)) % 0.39/0.57 (define @t35 () (tptp.status @t4 @t3 @t33)) % 0.39/0.57 (define @t36 () (forall @t7 (or (not @t35) @t35))) % 0.39/0.57 (define @t37 () (= @t34 @t36)) % 0.39/0.57 (define @t38 () (forall @t8 (= @t9 @t32))) % 0.39/0.57 (assume @p1 (forall @t8 (= (exists @t7 (and @t6 @t5)) (tptp.mighta @t2 @t1)))) % 0.39/0.57 (assume @p2 @t12) % 0.39/0.57 (assume @p3 (forall @t8 (= (exists @t7 (and @t6 @t13)) (tptp.nota @t2 @t1)))) % 0.39/0.57 (assume @p4 (forall @t8 (= (forall @t7 (=> @t6 @t13)) (tptp.nevera @t2 @t1)))) % 0.39/0.57 (assume @p5 (forall @t8 (= (forall @t7 (xor @t6 @t5)) (tptp.xora @t2 @t1)))) % 0.39/0.57 (assume @p6 (forall @t18 (xor @t17 @t16))) % 0.39/0.57 (assume @p7 (forall @t18 (= @t17 (not @t16)))) % 0.39/0.57 (assume @p8 (exists @t20 (forall @t19 @t17))) % 0.39/0.57 (assume @p9 (exists @t20 (and (exists @t24 (tptp.model @t23 @t14)) (exists @t22 (not (tptp.model @t21 @t14)))))) % 0.39/0.57 (assume @p10 (exists @t20 (forall @t19 (not @t17)))) % 0.39/0.57 (assume @p11 (exists @t7 (and (exists @t24 (and @t28 @t27)) (exists @t22 (or (not @t26) (not @t25)))))) % 0.39/0.57 (assume @p12 (exists @t7 (and (exists @t24 @t28) (forall @t22 (=> @t26 @t25)) (exists (@list @t30) (and (not (tptp.model @t30 @t4)) (tptp.model @t30 @t3))) (exists (@list @t29) (not (tptp.model @t29 @t3)))))) % 0.39/0.57 (assume @p13 (exists (@list @t23 @t4 @t3) (and @t28 (not @t27) (exists @t22 @t25)))) % 0.39/0.57 (assume @p14 (not @t31)) % 0.39/0.57 (assume @p15 true) % 0.39/0.57 (step @p16 :rule eq-symm :args (@t32 @t9)) % 0.39/0.57 (step @p17 :rule refl :args (@t9)) % 0.39/0.57 (step @p18 :rule bool-impl-elim :args (@t6 @t5)) % 0.39/0.57 (step @p19 :rule cong :premises (@p18) :args (@t10)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19 @p17) :args (@t11)) % 0.39/0.57 (step @p21 :rule trans :premises (@p20 @p16)) % 0.39/0.57 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.39/0.57 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.39/0.57 (step @p24 :rule skolemize :premises (@p14)) % 0.39/0.57 (step @p25 :rule bool-eq-true :args (@t34)) % 0.39/0.57 (step @p26 :rule quant-unused-vars :args ((= (forall @t7 true) true))) % 0.39/0.57 (step @p27 :rule bool-or-taut2 :args (false @t35 false false)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t36)) % 0.39/0.57 (step @p29 :rule trans :premises (@p28 @p26)) % 0.39/0.57 (step @p30 :rule refl :args (@t34)) % 0.39/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args (@t37)) % 0.39/0.57 (step @p32 :rule trans :premises (@p31 @p25)) % 0.39/0.57 (step @p33 :rule refl :args (@t38)) % 0.39/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t38 @t37))) % 0.39/0.57 (assume-push @p42 @t38) % 0.39/0.57 (step @p36 :rule instantiate :premises (@p23) :args ((@list @t33 @t33))) % 0.39/0.57 (step-pop @p43 :rule scope :premises (@p36)) % 0.39/0.57 (step @p37 :rule process_scope :premises (@p43) :args (@t37)) % 0.39/0.57 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.39/0.57 (step @p40 :rule implies_elim :premises (@p39)) % 0.39/0.57 (step @p41 false :rule chain_m_resolution :premises (@p40 @p24 @p23) :args (false (@list true false) (@list @t34 @t38))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------