%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV573-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 05:26:59 PM UTC 2026
% Result : Unsatisfiable 1.55s 1.86s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 12 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_complex__of__real__def_0,axiom,
c_RealVector_Oof__real(X1,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).
cnf(cls_complex__surj_0,axiom,
c_Complex_Ocomplex_OComplex(c_Complex_ORe(X1),c_Complex_OIm(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__surj_0) ).
cnf(cls_complex__Im__of__nat_0,axiom,
c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__Im__of__nat_0) ).
cnf(cls_complex__Re__of__nat_0,axiom,
c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__Re__of__nat_0) ).
cnf(c_0_5,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
cls_conjecture_0 ).
cnf(c_0_6,axiom,
c_RealVector_Oof__real(X1,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
cls_complex__of__real__def_0 ).
cnf(c_0_7,axiom,
c_Complex_Ocomplex_OComplex(c_Complex_ORe(X1),c_Complex_OIm(X1)) = X1,
cls_complex__surj_0 ).
cnf(c_0_8,axiom,
c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_complex__Im__of__nat_0 ).
cnf(c_0_9,axiom,
c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),
cls_complex__Re__of__nat_0 ).
cnf(c_0_10,negated_conjecture,
c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),tc_Complex_Ocomplex) != c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_11,plain,
c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),tc_Complex_Ocomplex) = c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_6]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV573-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n008.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 05:35:28 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.55/1.86 % Version : CSE_E---1.7
% 1.55/1.86 % Problem : theBenchmark.p
% 1.55/1.86 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.86 % SZS output start CNFRefutation
% See solution above
% 1.55/1.86 % Total time : 1.480s
%------------------------------------------------------------------------------