%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS125+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 : n008.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 08:28:58 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS125+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:28:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.55 % SZS status Unsatisfiable % 0.29/0.55 % SZS output start Proof % 0.29/0.56 ( % 0.29/0.56 (declare-sort $$unsorted 0) % 0.29/0.56 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cd1xcomp (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cf (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cc1 (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.ce3 (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.i2003_11_14_17_22_17947 $$unsorted) % 0.29/0.56 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cdxcomp (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.cd1 (-> $$unsorted Bool)) % 0.29/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.29/0.56 (define @t2 () (@list @t1)) % 0.29/0.56 (define @t3 () (tptp.cf @t1)) % 0.29/0.56 (define @t4 () (tptp.ce3 @t1)) % 0.29/0.56 (define @t5 () (tptp.cdxcomp @t1)) % 0.29/0.56 (define @t6 () (tptp.cc @t1)) % 0.29/0.56 (define @t7 () (forall @t2 (=> @t6 @t5))) % 0.29/0.56 (define @t8 () (tptp.cd1xcomp @t1)) % 0.29/0.56 (define @t9 () (tptp.cc1 @t1)) % 0.29/0.56 (define @t10 () (tptp.cd1 @t1)) % 0.29/0.56 (define @t11 () (@var "Y" $$unsorted)) % 0.29/0.56 (define @t12 () (tptp.ra_Px1 @t1 @t11)) % 0.29/0.56 (define @t13 () (@list @t11)) % 0.29/0.56 (define @t14 () (exists @t13 @t12)) % 0.29/0.56 (define @t15 () (not @t14)) % 0.29/0.56 (define @t16 () (tptp.cd @t1)) % 0.29/0.56 (define @t17 () (= @t16 @t15)) % 0.29/0.56 (define @t18 () (forall @t2 @t17)) % 0.29/0.56 (define @t19 () (@var "Y0" $$unsorted)) % 0.29/0.56 (define @t20 () (tptp.ra_Px1 @t1 @t19)) % 0.29/0.56 (define @t21 () (@list @t19)) % 0.29/0.56 (define @t22 () (exists @t21 @t20)) % 0.29/0.56 (define @t23 () (= @t5 @t22)) % 0.29/0.56 (define @t24 () (forall @t2 @t23)) % 0.29/0.56 (define @t25 () (forall @t2 (=> @t4 @t6))) % 0.29/0.56 (define @t26 () (forall @t2 (=> @t3 @t16))) % 0.29/0.56 (define @t27 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_17947)) % 0.29/0.56 (define @t28 () (@list tptp.i2003_11_14_17_22_17947)) % 0.29/0.56 (define @t29 () (tptp.cf tptp.i2003_11_14_17_22_17947)) % 0.29/0.56 (define @t30 () (tptp.ce3 tptp.i2003_11_14_17_22_17947)) % 0.29/0.56 (define @t31 () (and @t30 @t29)) % 0.29/0.56 (define @t32 () (= @t27 @t31)) % 0.29/0.56 (define @t33 () (@list false false)) % 0.29/0.56 (define @t34 () (not @t31)) % 0.29/0.56 (define @t35 () (@list false)) % 0.29/0.56 (define @t36 () (@list @t31)) % 0.29/0.56 (define @t37 () (tptp.cc tptp.i2003_11_14_17_22_17947)) % 0.29/0.56 (define @t38 () (not @t30)) % 0.29/0.56 (define @t39 () (or @t38 @t37)) % 0.29/0.56 (define @t40 () (tptp.cdxcomp tptp.i2003_11_14_17_22_17947)) % 0.29/0.56 (define @t41 () (not @t37)) % 0.29/0.56 (define @t42 () (or @t41 @t40)) % 0.29/0.56 (define @t43 () (forall @t13 (not @t12))) % 0.29/0.56 (define @t44 () (tptp.cd tptp.i2003_11_14_17_22_17947)) % 0.29/0.56 (define @t45 () (not @t29)) % 0.29/0.56 (define @t46 () (or @t45 @t44)) % 0.29/0.56 (define @t47 () (forall @t13 (not (tptp.ra_Px1 tptp.i2003_11_14_17_22_17947 @t11)))) % 0.29/0.56 (define @t48 () (= @t44 @t47)) % 0.29/0.56 (define @t49 () (forall @t21 (not (tptp.ra_Px1 tptp.i2003_11_14_17_22_17947 @t19)))) % 0.29/0.56 (define @t50 () (not @t49)) % 0.29/0.56 (define @t51 () (= @t40 @t50)) % 0.29/0.56 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.29/0.56 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.29/0.56 (assume @p3 (forall @t2 (= (tptp.cUnsatisfiable @t1) (and @t4 @t3)))) % 0.29/0.56 (assume @p4 @t7) % 0.29/0.56 (assume @p5 (forall @t2 (=> @t9 @t8))) % 0.29/0.56 (assume @p6 (forall @t2 (=> @t9 @t10))) % 0.29/0.56 (assume @p7 @t18) % 0.29/0.56 (assume @p8 @t24) % 0.29/0.56 (assume @p9 (forall @t2 (= @t10 (exists @t21 (tptp.ra_Px2 @t1 @t19))))) % 0.29/0.56 (assume @p10 (forall @t2 (= @t8 (not (exists @t13 (tptp.ra_Px2 @t1 @t11)))))) % 0.29/0.56 (assume @p11 @t25) % 0.29/0.56 (assume @p12 @t26) % 0.29/0.56 (assume @p13 @t27) % 0.29/0.56 (step @p14 :rule bool-impl-elim :args (@t6 @t5)) % 0.29/0.56 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.29/0.56 (step @p16 :rule eq_resolve :premises (@p4 @p15)) % 0.29/0.56 (step @p17 :rule instantiate :premises (@p16) :args (@t28)) % 0.29/0.56 (step @p18 :rule bool-impl-elim :args (@t4 @t6)) % 0.29/0.56 (step @p19 :rule cong :premises (@p18) :args (@t25)) % 0.29/0.56 (step @p20 :rule eq_resolve :premises (@p11 @p19)) % 0.29/0.56 (step @p21 :rule instantiate :premises (@p20) :args (@t28)) % 0.29/0.56 (step @p22 :rule instantiate :premises (@p3) :args (@t28)) % 0.29/0.56 (step @p23 :rule cnf_equiv_pos1 :args (@t32)) % 0.29/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or (not @t27) @t31 (not @t32)))) % 0.29/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p13 @p22) :args (@t31 @t33 (@list @t27 @t32))) % 0.29/0.56 (step @p26 :rule cnf_and_pos :args (@t31 0)) % 0.29/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t30 @t34))) % 0.29/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p25) :args (@t30 @t35 @t36)) % 0.29/0.56 (step @p29 :rule cnf_or_pos :args (@t39)) % 0.29/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t38 @t37 (not @t39)))) % 0.29/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p21) :args (@t37 @t33 (@list @t30 @t39))) % 0.29/0.56 (step @p32 :rule cnf_or_pos :args (@t42)) % 0.29/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t41 @t40 (not @t42)))) % 0.29/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p17) :args (@t40 @t33 (@list @t37 @t42))) % 0.29/0.56 (step @p35 :rule bool-double-not-elim :args (@t43)) % 0.29/0.56 (step @p36 :rule exists-elim :args ((= @t14 (not @t43)))) % 0.29/0.56 (step @p37 :rule cong :premises (@p36) :args (@t15)) % 0.29/0.56 (step @p38 :rule trans :premises (@p37 @p35)) % 0.29/0.56 (step @p39 :rule refl :args (@t16)) % 0.29/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args (@t17)) % 0.29/0.56 (step @p41 :rule cong :premises (@p40) :args (@t18)) % 0.29/0.56 (step @p42 :rule eq_resolve :premises (@p7 @p41)) % 0.29/0.56 (step @p43 :rule instantiate :premises (@p42) :args (@t28)) % 0.29/0.56 (step @p44 :rule bool-impl-elim :args (@t3 @t16)) % 0.29/0.56 (step @p45 :rule cong :premises (@p44) :args (@t26)) % 0.29/0.56 (step @p46 :rule eq_resolve :premises (@p12 @p45)) % 0.29/0.56 (step @p47 :rule instantiate :premises (@p46) :args (@t28)) % 0.29/0.56 (step @p48 :rule cnf_and_pos :args (@t31 1)) % 0.29/0.56 (step @p49 :rule reordering :premises (@p48) :args ((or @t29 @t34))) % 0.29/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p25) :args (@t29 @t35 @t36)) % 0.29/0.56 (step @p51 :rule cnf_or_pos :args (@t46)) % 0.29/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t45 @t44 (not @t46)))) % 0.29/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p47) :args (@t44 @t33 (@list @t29 @t46))) % 0.29/0.56 (step @p54 :rule cnf_equiv_pos1 :args (@t48)) % 0.29/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or (not @t44) @t47 (not @t48)))) % 0.29/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p43) :args (@t47 @t33 (@list @t44 @t48))) % 0.29/0.56 (step @p57 :rule alpha_equiv :args (@t47 (@list @t11) (@list @t19))) % 0.29/0.56 (step @p58 :rule equiv_elim1 :premises (@p57)) % 0.29/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t49 @t35 (@list @t47))) % 0.29/0.56 (step @p60 :rule exists-elim :args ((= @t22 (not (forall @t21 (not @t20)))))) % 0.29/0.56 (step @p61 :rule refl :args (@t5)) % 0.29/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args (@t23)) % 0.29/0.56 (step @p63 :rule cong :premises (@p62) :args (@t24)) % 0.29/0.56 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 0.29/0.56 (step @p65 :rule instantiate :premises (@p64) :args (@t28)) % 0.29/0.56 (step @p66 :rule cnf_equiv_pos1 :args (@t51)) % 0.29/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or (not @t40) @t50 (not @t51)))) % 0.29/0.56 (step @p68 false :rule chain_m_resolution :premises (@p67 @p65 @p59 @p34) :args (false (@list false false false) (@list @t51 @t49 @t40))) % 0.29/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------