%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS002-1 : 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 : n013.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 08:28:43 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS002-1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:24:45 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.56 % SZS status Unsatisfiable % 0.30/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.u4r1 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.exist $$unsorted) % 0.37/0.56 (declare-const tptp.u1r1 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.s1most (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.u3r2 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.e (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.c (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.u1r2 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.s2least (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.s (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.d (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.u3r1 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.u4r2 (-> $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (tptp.e tptp.exist)) % 0.37/0.56 (define @t2 () (@var "X1" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.c @t2)) % 0.37/0.56 (define @t4 () (tptp.s2least @t2)) % 0.37/0.56 (define @t5 () (@list @t2)) % 0.37/0.56 (define @t6 () (not @t4)) % 0.37/0.56 (define @t7 () (tptp.u1r1 @t2)) % 0.37/0.56 (define @t8 () (tptp.u1r2 @t2)) % 0.37/0.56 (define @t9 () (@var "X2" $$unsorted)) % 0.37/0.56 (define @t10 () (not (tptp.s @t2 @t9))) % 0.37/0.56 (define @t11 () (@var "X3" $$unsorted)) % 0.37/0.56 (define @t12 () (not (tptp.s @t2 @t11))) % 0.37/0.56 (define @t13 () (tptp.equalish @t11 @t9)) % 0.37/0.56 (define @t14 () (tptp.d @t2)) % 0.37/0.56 (define @t15 () (tptp.s1most @t2)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (forall (@list @t11 @t9 @t2) (or @t13 @t16 @t12 @t10))) % 0.37/0.56 (define @t18 () (tptp.u3r1 @t2)) % 0.37/0.56 (define @t19 () (tptp.u3r2 @t2)) % 0.37/0.56 (define @t20 () (tptp.e @t2)) % 0.37/0.56 (define @t21 () (not @t20)) % 0.37/0.56 (define @t22 () (not (tptp.r @t2 @t9))) % 0.37/0.56 (define @t23 () (@list @t9 @t2)) % 0.37/0.56 (define @t24 () (not (tptp.r @t2 @t11))) % 0.37/0.56 (define @t25 () (tptp.u4r1 @t2)) % 0.37/0.56 (define @t26 () (@list @t2 @t11)) % 0.37/0.56 (define @t27 () (tptp.u4r2 tptp.exist)) % 0.37/0.56 (define @t28 () (@list @t27)) % 0.37/0.56 (define @t29 () (@list @t27 tptp.exist)) % 0.37/0.56 (define @t30 () (not @t1)) % 0.37/0.56 (define @t31 () (tptp.r tptp.exist @t27)) % 0.37/0.56 (define @t32 () (or @t31 @t30)) % 0.37/0.56 (define @t33 () (@list false false)) % 0.37/0.56 (define @t34 () (not @t31)) % 0.37/0.56 (define @t35 () (tptp.c @t27)) % 0.37/0.56 (define @t36 () (or @t35 @t30 @t34)) % 0.37/0.56 (define @t37 () (@list false false false)) % 0.37/0.56 (define @t38 () (not @t35)) % 0.37/0.56 (define @t39 () (tptp.s2least @t27)) % 0.37/0.56 (define @t40 () (or @t39 @t38)) % 0.37/0.56 (define @t41 () (not @t39)) % 0.37/0.56 (define @t42 () (tptp.u1r2 @t27)) % 0.37/0.56 (define @t43 () (tptp.s @t27 @t42)) % 0.37/0.56 (define @t44 () (or @t43 @t41)) % 0.37/0.56 (define @t45 () (tptp.u1r1 @t27)) % 0.37/0.56 (define @t46 () (tptp.s @t27 @t45)) % 0.37/0.56 (define @t47 () (or @t46 @t41)) % 0.37/0.56 (define @t48 () (tptp.equalish @t42 @t45)) % 0.37/0.56 (define @t49 () (not @t48)) % 0.37/0.56 (define @t50 () (or @t41 @t49)) % 0.37/0.56 (define @t51 () (tptp.d @t27)) % 0.37/0.56 (define @t52 () (or @t51 @t30 @t34)) % 0.37/0.56 (define @t53 () (not @t51)) % 0.37/0.56 (define @t54 () (tptp.s1most @t27)) % 0.37/0.56 (define @t55 () (or @t54 @t53)) % 0.37/0.56 (define @t56 () (not @t46)) % 0.37/0.56 (define @t57 () (not @t43)) % 0.37/0.56 (define @t58 () (not @t54)) % 0.37/0.56 (define @t59 () (or @t48 @t58 @t57 @t56)) % 0.37/0.56 (define @t60 () (not @t59)) % 0.37/0.56 (assume @p1 @t1) % 0.37/0.56 (assume @p2 (forall @t5 (or @t4 (not @t3)))) % 0.37/0.56 (assume @p3 (forall @t5 (or @t3 @t6))) % 0.37/0.56 (assume @p4 (forall @t5 (or @t6 (not (tptp.equalish @t8 @t7))))) % 0.37/0.56 (assume @p5 (forall @t5 (or (tptp.s @t2 @t7) @t6))) % 0.37/0.56 (assume @p6 (forall @t5 (or (tptp.s @t2 @t8) @t6))) % 0.37/0.56 (assume @p7 (forall (@list @t2 @t11 @t9) (or @t4 @t13 @t12 @t10))) % 0.37/0.56 (assume @p8 (forall @t5 (or @t15 (not @t14)))) % 0.37/0.56 (assume @p9 (forall @t5 (or @t14 @t16))) % 0.37/0.56 (assume @p10 @t17) % 0.37/0.56 (assume @p11 (forall @t5 (or @t15 (not (tptp.equalish @t19 @t18))))) % 0.37/0.56 (assume @p12 (forall @t5 (or @t15 (tptp.s @t2 @t18)))) % 0.37/0.56 (assume @p13 (forall @t5 (or @t15 (tptp.s @t2 @t19)))) % 0.37/0.56 (assume @p14 (forall @t5 (or (tptp.r @t2 (tptp.u4r2 @t2)) @t21))) % 0.37/0.56 (assume @p15 (forall @t23 (or (tptp.d @t9) @t21 @t22))) % 0.37/0.56 (assume @p16 (forall @t23 (or (tptp.c @t9) @t21 @t22))) % 0.37/0.56 (assume @p17 (forall @t26 (or @t20 (not (tptp.c @t25)) (not (tptp.d @t25)) @t24))) % 0.37/0.56 (assume @p18 (forall @t26 (or @t20 (tptp.r @t2 @t25) @t24))) % 0.37/0.56 (step @p19 :rule instantiate :premises (@p6) :args (@t28)) % 0.37/0.56 (step @p20 :rule instantiate :premises (@p2) :args (@t28)) % 0.37/0.56 (step @p21 :rule instantiate :premises (@p16) :args (@t29)) % 0.37/0.56 (step @p22 :rule instantiate :premises (@p14) :args ((@list tptp.exist))) % 0.37/0.56 (step @p23 :rule cnf_or_pos :args (@t32)) % 0.37/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or @t30 @t31 (not @t32)))) % 0.37/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p1 @p22) :args (@t31 @t33 (@list @t1 @t32))) % 0.37/0.56 (step @p26 :rule cnf_or_pos :args (@t36)) % 0.37/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t30 @t34 @t35 (not @t36)))) % 0.37/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p1 @p25 @p21) :args (@t35 @t37 (@list @t1 @t31 @t36))) % 0.37/0.56 (step @p29 :rule cnf_or_pos :args (@t40)) % 0.37/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t38 @t39 (not @t40)))) % 0.37/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p20) :args (@t39 @t33 (@list @t35 @t40))) % 0.37/0.56 (step @p32 :rule cnf_or_pos :args (@t44)) % 0.37/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t41 @t43 (not @t44)))) % 0.37/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p19) :args (@t43 @t33 (@list @t39 @t44))) % 0.37/0.56 (step @p35 :rule instantiate :premises (@p5) :args (@t28)) % 0.37/0.56 (step @p36 :rule cnf_or_pos :args (@t47)) % 0.37/0.56 (step @p37 :rule reordering :premises (@p36) :args ((or @t41 @t46 (not @t47)))) % 0.37/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p31 @p35) :args (@t46 @t33 (@list @t39 @t47))) % 0.37/0.56 (step @p39 :rule instantiate :premises (@p4) :args (@t28)) % 0.37/0.56 (step @p40 :rule cnf_or_pos :args (@t50)) % 0.37/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t41 @t49 (not @t50)))) % 0.37/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p31 @p39) :args (@t49 @t33 (@list @t39 @t50))) % 0.37/0.56 (step @p43 :rule instantiate :premises (@p8) :args (@t28)) % 0.37/0.56 (step @p44 :rule instantiate :premises (@p15) :args (@t29)) % 0.37/0.56 (step @p45 :rule cnf_or_pos :args (@t52)) % 0.37/0.56 (step @p46 :rule reordering :premises (@p45) :args ((or @t30 @t34 @t51 (not @t52)))) % 0.37/0.56 (step @p47 :rule chain_m_resolution :premises (@p46 @p1 @p25 @p44) :args (@t51 @t37 (@list @t1 @t31 @t52))) % 0.37/0.56 (step @p48 :rule cnf_or_pos :args (@t55)) % 0.37/0.56 (step @p49 :rule reordering :premises (@p48) :args ((or @t53 @t54 (not @t55)))) % 0.37/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p43) :args (@t54 @t33 (@list @t51 @t55))) % 0.37/0.56 (step @p51 :rule cnf_or_pos :args (@t59)) % 0.37/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t58 @t48 @t56 @t57 @t60))) % 0.37/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p42 @p38 @p34) :args (@t60 (@list false true false false) (@list @t54 @t48 @t46 @t43))) % 0.37/0.56 (assume-push @p60 @t17) % 0.37/0.56 (step @p55 :rule instantiate :premises (@p10) :args ((@list @t42 @t45 @t27))) % 0.37/0.56 (step-pop @p61 :rule scope :premises (@p55)) % 0.37/0.56 (step @p56 :rule process_scope :premises (@p61) :args (@t59)) % 0.37/0.56 (step @p58 :rule implies_elim :premises (@p56)) % 0.37/0.56 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p10) :args (false (@list true false) (@list @t59 @t17))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------