%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ITP013+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:41:26 AM UTC 2026
% Result : Theorem 7.31s 1.36s
% Output : CNFRefutation 7.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 38 ( 26 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 23 ( 8 ~; 2 |; 7 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 44 ( 1 sgn 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [V0t_2E0] :
( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
file('theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
fof(thm_2Ebool_2Ebool__case__thm,axiom,
! [A_27a] :
( ! [V2t1_2E0,V3t2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(A_27a,V2t1_2E0),s(A_27a,V3t2_2E0))) = s(A_27a,V3t2_2E0)
& ! [V0t1_2E0,V1t2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(A_27a,V0t1_2E0),s(A_27a,V1t2_2E0))) = s(A_27a,V0t1_2E0) ),
file('theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
fof(thm_2Ewords_2Eword__sub__def,axiom,
! [A_27a,V0v_2E0,V1w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0v_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0v_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))))),
file('theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
fof(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [A_27a,A_27b] :
( ! [V2m_2E0,V3n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2m_2E0),s(tyop_2Enum_2Enum,V3n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0)))))))))
& ! [V0m_2E0,V1n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0m_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1n_2E0))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V0m_2E0),s(tyop_2Enum_2Enum,V1n_2E0))))))) ),
file('theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
fof(thm_2Ewords_2En2w__sub,conjecture,
! [A_27a,V0a_2E0,V1b_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0))))) ),
file('theBenchmark.p',thm_2Ewords_2En2w__sub) ).
fof(thm_2Ewords_2En2w__sub_neg,negated_conjecture,
~ ! [A_27a,V0a_2E0,V1b_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0))))) ),
inference(assume_negation,[status(cth)],[thm_2Ewords_2En2w__sub]) ).
cnf(c_112,plain,
( ~ p(s(tyop_2Emin_2Ebool,A))
| s(tyop_2Emin_2Ebool,A) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(clausify,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
cnf(c_113,plain,
( ~ p(s(tyop_2Emin_2Ebool,A))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,A) ),
inference(copy,[status(thm)],[c_112]) ).
cnf(c_126,plain,
s(A,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(A,B),s(A,C))) = s(A,B),
inference(clausify,[status(thm)],[thm_2Ebool_2Ebool__case__thm]) ).
cnf(c_128,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),B),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),C))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),B),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),C))))),
inference(clausify,[status(thm)],[thm_2Ewords_2Eword__sub__def]) ).
cnf(c_129,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),B),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),C))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),B),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),C))),
inference(copy,[status(thm)],[c_128]) ).
cnf(c_132,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,B),s(tyop_2Enum_2Enum,C))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,C),s(tyop_2Enum_2Enum,B))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,B),s(tyop_2Enum_2Enum,C))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,C))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,B))))))),
inference(clausify,[status(thm)],[thm_2Ewords_2EWORD__LITERAL__ADD]) ).
cnf(c_133,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,B),s(tyop_2Enum_2Enum,C))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,C),s(tyop_2Enum_2Enum,B))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,B),s(tyop_2Enum_2Enum,C))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,C))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,B))))),
inference(paramod,[status(thm)],[c_129,c_132]) ).
fof(nnf_43,plain,
? [A_27a,V0a_2E0,V1b_2E0] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0)))) ),
inference(fof_nnf,[status(thm)],[thm_2Ewords_2En2w__sub_neg]) ).
fof(sk_thm_2Ewords_2En2w__sub_neg,plain,
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK1),s(tyop_2Enum_2Enum,sK0)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK0),s(tyop_2Enum_2Enum,sK1)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(A_27a,sK2),skolemize(V0a_2E0,sK1),skolemize(V1b_2E0,sK0)],[nnf_43]) ).
cnf(c_134,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK0),s(tyop_2Enum_2Enum,sK1)))),
inference(split_conjunct,[status(thm)],[sk_thm_2Ewords_2En2w__sub_neg]) ).
cnf(c_135,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK1),s(tyop_2Enum_2Enum,sK0))))),
inference(split_conjunct,[status(thm)],[sk_thm_2Ewords_2En2w__sub_neg]) ).
cnf(c_1098,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK0),s(tyop_2Enum_2Enum,sK1))),
inference(resolve,[status(thm)],[c_134,c_113]) ).
cnf(c_470,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK0),s(tyop_2Enum_2Enum,sK1))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(copy,[status(thm)],[c_1098]) ).
cnf(c_1099,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK1),s(tyop_2Enum_2Enum,sK0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK0),s(tyop_2Enum_2Enum,sK1))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK0))))),
inference(paramod,[status(thm)],[c_470,c_133]) ).
cnf(c_1100,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK1),s(tyop_2Enum_2Enum,sK0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK0))))),
inference(paramod,[status(thm)],[c_126,c_1099]) ).
cnf(c_1096,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK1),s(tyop_2Enum_2Enum,sK0))))),
inference(copy,[status(thm)],[c_1100]) ).
cnf(c_1097,plain,
$false,
inference(resolve,[status(thm)],[c_1096,c_135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP013+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 17:17:21 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.36 % Process 865827 was started by sandbox on n013,
% 0.02/0.36 % Fri Sep 25 17:17:21 2026
% 0.02/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.02/0.37
% 0.02/0.37 % From the command line: assign(max_seconds, 300).
% 7.31/1.36
% 7.31/1.36 % SZS status Theorem for theBenchmark
% 7.31/1.36
% 7.31/1.36 % Proof 1 at 0.84 (+ 0.11) seconds.
% 7.31/1.36 % Length of proof is 17.
% 7.31/1.36 % Level of proof is 5.
% 7.31/1.36 % Maximum clause weight is 119.000.
% 7.31/1.36 % Given clauses 129.
% 7.31/1.36
% 7.31/1.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------