%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV865-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 05:27:34 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 6 unt; 5 nHn; 9 RR)
% Number of literals : 28 ( 18 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_com__det_0,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( X1 = v_s_H
| c_Natural_Oevalc(v_c,v_Z,v_Z_H(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( X1 = v_s_H
| X1 != v_Z_H(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_com_Osimps_I12_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
cnf(c_0_5,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
cls_com__det_0 ).
cnf(c_0_6,negated_conjecture,
( X1 = v_s_H
| c_Natural_Oevalc(v_c,v_Z,v_Z_H(X1)) ),
cls_conjecture_3 ).
cnf(c_0_7,negated_conjecture,
( X1 = v_Z_H(X2)
| X2 = v_s_H
| ~ c_Natural_Oevalc(v_c,v_Z,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
( X1 = v_s_H
| X1 != v_Z_H(X1) ),
cls_conjecture_4 ).
cnf(c_0_9,negated_conjecture,
( v_Z_H(X1) = v_Z_H(X2)
| X1 = v_s_H
| X2 = v_s_H ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( v_Z_H(X1) = v_s_H
| X1 = v_s_H ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_11,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
cls_conjecture_1 ).
cnf(c_0_12,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
cls_com_Osimps_I12_J_0 ).
cnf(c_0_13,negated_conjecture,
X1 = v_s_H,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_10]),c_0_11]) ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV865-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 06:05:18 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------