%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS003-1 : 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 : 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 08:28:44 AM UTC 2026 % Result : Unsatisfiable 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS003-1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 00:25:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.36 % SZS status Unsatisfiable % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.u3r1 (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.d (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.u1r2 (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.c (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.s (-> $$unsorted $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.f (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.u3r2 (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.s1most (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.u1r1 (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.e (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.s2least (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.exist $$unsorted) % 0.16/0.36 (define @t1 () (tptp.e tptp.exist)) % 0.16/0.36 (define @t2 () (tptp.f tptp.exist)) % 0.16/0.36 (define @t3 () (@var "X1" $$unsorted)) % 0.16/0.36 (define @t4 () (tptp.c @t3)) % 0.16/0.36 (define @t5 () (tptp.s2least @t3)) % 0.16/0.36 (define @t6 () (@list @t3)) % 0.16/0.36 (define @t7 () (not @t5)) % 0.16/0.36 (define @t8 () (tptp.u1r1 @t3)) % 0.16/0.36 (define @t9 () (tptp.u1r2 @t3)) % 0.16/0.36 (define @t10 () (@var "X2" $$unsorted)) % 0.16/0.36 (define @t11 () (not (tptp.s @t3 @t10))) % 0.16/0.36 (define @t12 () (@var "X3" $$unsorted)) % 0.16/0.36 (define @t13 () (not (tptp.s @t3 @t12))) % 0.16/0.36 (define @t14 () (tptp.equalish @t12 @t10)) % 0.16/0.36 (define @t15 () (tptp.d @t3)) % 0.16/0.36 (define @t16 () (tptp.s1most @t3)) % 0.16/0.36 (define @t17 () (not @t16)) % 0.16/0.36 (define @t18 () (forall (@list @t12 @t10 @t3) (or @t14 @t17 @t13 @t11))) % 0.16/0.36 (define @t19 () (tptp.u3r1 @t3)) % 0.16/0.36 (define @t20 () (tptp.u3r2 @t3)) % 0.16/0.36 (define @t21 () (@list tptp.exist)) % 0.16/0.36 (define @t22 () (not @t1)) % 0.16/0.36 (define @t23 () (tptp.c tptp.exist)) % 0.16/0.36 (define @t24 () (or @t23 @t22)) % 0.16/0.36 (define @t25 () (@list false false)) % 0.16/0.36 (define @t26 () (not @t23)) % 0.16/0.36 (define @t27 () (tptp.s2least tptp.exist)) % 0.16/0.36 (define @t28 () (or @t27 @t26)) % 0.16/0.36 (define @t29 () (not @t27)) % 0.16/0.36 (define @t30 () (tptp.u1r2 tptp.exist)) % 0.16/0.36 (define @t31 () (tptp.s tptp.exist @t30)) % 0.16/0.36 (define @t32 () (or @t31 @t29)) % 0.16/0.36 (define @t33 () (tptp.u1r1 tptp.exist)) % 0.16/0.36 (define @t34 () (tptp.s tptp.exist @t33)) % 0.16/0.36 (define @t35 () (or @t34 @t29)) % 0.16/0.36 (define @t36 () (tptp.equalish @t30 @t33)) % 0.16/0.36 (define @t37 () (not @t36)) % 0.16/0.36 (define @t38 () (or @t29 @t37)) % 0.16/0.36 (define @t39 () (not @t2)) % 0.16/0.36 (define @t40 () (tptp.d tptp.exist)) % 0.16/0.36 (define @t41 () (or @t40 @t39)) % 0.16/0.36 (define @t42 () (not @t40)) % 0.16/0.36 (define @t43 () (tptp.s1most tptp.exist)) % 0.16/0.36 (define @t44 () (or @t43 @t42)) % 0.16/0.36 (define @t45 () (not @t34)) % 0.16/0.36 (define @t46 () (not @t31)) % 0.16/0.36 (define @t47 () (not @t43)) % 0.16/0.36 (define @t48 () (or @t36 @t47 @t46 @t45)) % 0.16/0.36 (define @t49 () (not @t48)) % 0.16/0.36 (assume @p1 @t1) % 0.16/0.36 (assume @p2 @t2) % 0.16/0.36 (assume @p3 (forall @t6 (or @t5 (not @t4)))) % 0.16/0.36 (assume @p4 (forall @t6 (or @t4 @t7))) % 0.16/0.36 (assume @p5 (forall @t6 (or @t7 (not (tptp.equalish @t9 @t8))))) % 0.16/0.36 (assume @p6 (forall @t6 (or (tptp.s @t3 @t8) @t7))) % 0.16/0.36 (assume @p7 (forall @t6 (or (tptp.s @t3 @t9) @t7))) % 0.16/0.36 (assume @p8 (forall (@list @t3 @t12 @t10) (or @t5 @t14 @t13 @t11))) % 0.16/0.36 (assume @p9 (forall @t6 (or @t16 (not @t15)))) % 0.16/0.36 (assume @p10 (forall @t6 (or @t15 @t17))) % 0.16/0.36 (assume @p11 @t18) % 0.16/0.36 (assume @p12 (forall @t6 (or @t16 (not (tptp.equalish @t20 @t19))))) % 0.16/0.36 (assume @p13 (forall @t6 (or @t16 (tptp.s @t3 @t19)))) % 0.16/0.36 (assume @p14 (forall @t6 (or @t16 (tptp.s @t3 @t20)))) % 0.16/0.36 (assume @p15 (forall @t6 (or @t4 (not (tptp.e @t3))))) % 0.16/0.36 (assume @p16 (forall @t6 (or @t15 (not (tptp.f @t3))))) % 0.16/0.36 (step @p17 :rule instantiate :premises (@p7) :args (@t21)) % 0.16/0.36 (step @p18 :rule instantiate :premises (@p3) :args (@t21)) % 0.16/0.36 (step @p19 :rule instantiate :premises (@p15) :args (@t21)) % 0.16/0.36 (step @p20 :rule cnf_or_pos :args (@t24)) % 0.16/0.36 (step @p21 :rule reordering :premises (@p20) :args ((or @t22 @t23 (not @t24)))) % 0.16/0.36 (step @p22 :rule chain_m_resolution :premises (@p21 @p1 @p19) :args (@t23 @t25 (@list @t1 @t24))) % 0.16/0.36 (step @p23 :rule cnf_or_pos :args (@t28)) % 0.16/0.36 (step @p24 :rule reordering :premises (@p23) :args ((or @t26 @t27 (not @t28)))) % 0.16/0.36 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p18) :args (@t27 @t25 (@list @t23 @t28))) % 0.16/0.36 (step @p26 :rule cnf_or_pos :args (@t32)) % 0.16/0.36 (step @p27 :rule reordering :premises (@p26) :args ((or @t29 @t31 (not @t32)))) % 0.16/0.36 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p17) :args (@t31 @t25 (@list @t27 @t32))) % 0.16/0.36 (step @p29 :rule instantiate :premises (@p6) :args (@t21)) % 0.16/0.36 (step @p30 :rule cnf_or_pos :args (@t35)) % 0.16/0.36 (step @p31 :rule reordering :premises (@p30) :args ((or @t29 @t34 (not @t35)))) % 0.16/0.36 (step @p32 :rule chain_m_resolution :premises (@p31 @p25 @p29) :args (@t34 @t25 (@list @t27 @t35))) % 0.16/0.36 (step @p33 :rule instantiate :premises (@p5) :args (@t21)) % 0.16/0.36 (step @p34 :rule cnf_or_pos :args (@t38)) % 0.16/0.36 (step @p35 :rule reordering :premises (@p34) :args ((or @t29 @t37 (not @t38)))) % 0.16/0.36 (step @p36 :rule chain_m_resolution :premises (@p35 @p25 @p33) :args (@t37 @t25 (@list @t27 @t38))) % 0.16/0.36 (step @p37 :rule instantiate :premises (@p9) :args (@t21)) % 0.16/0.36 (step @p38 :rule instantiate :premises (@p16) :args (@t21)) % 0.16/0.36 (step @p39 :rule cnf_or_pos :args (@t41)) % 0.16/0.36 (step @p40 :rule reordering :premises (@p39) :args ((or @t39 @t40 (not @t41)))) % 0.16/0.36 (step @p41 :rule chain_m_resolution :premises (@p40 @p2 @p38) :args (@t40 @t25 (@list @t2 @t41))) % 0.16/0.36 (step @p42 :rule cnf_or_pos :args (@t44)) % 0.16/0.36 (step @p43 :rule reordering :premises (@p42) :args ((or @t42 @t43 (not @t44)))) % 0.16/0.36 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p37) :args (@t43 @t25 (@list @t40 @t44))) % 0.16/0.36 (step @p45 :rule cnf_or_pos :args (@t48)) % 0.16/0.36 (step @p46 :rule reordering :premises (@p45) :args ((or @t47 @t36 @t45 @t46 @t49))) % 0.16/0.36 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p36 @p32 @p28) :args (@t49 (@list false true false false) (@list @t43 @t36 @t34 @t31))) % 0.16/0.36 (assume-push @p54 @t18) % 0.16/0.36 (step @p49 :rule instantiate :premises (@p11) :args ((@list @t30 @t33 tptp.exist))) % 0.16/0.36 (step-pop @p55 :rule scope :premises (@p49)) % 0.16/0.36 (step @p50 :rule process_scope :premises (@p55) :args (@t48)) % 0.16/0.36 (step @p52 :rule implies_elim :premises (@p50)) % 0.16/0.36 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p11) :args (false (@list true false) (@list @t48 @t18))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------