%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO063-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n020.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 04:19:11 PM UTC 2026
% Result : Unsatisfiable 1.21s 1.92s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 10 unt; 3 nHn; 8 RR)
% Number of literals : 18 ( 13 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 26 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_equality_of_insertions,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality_of_insertions) ).
cnf(insertion,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-3.ax',insertion) ).
cnf(d10_2,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_2) ).
cnf(w_to_x_equals_y_to_z,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
cnf(e3_1,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_1) ).
cnf(c_0_5,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
prove_equality_of_insertions ).
cnf(c_0_6,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
insertion ).
cnf(c_0_7,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
d10_2 ).
cnf(c_0_8,hypothesis,
equidistant(w,x,y,z),
w_to_x_equals_y_to_z ).
cnf(c_0_9,negated_conjecture,
extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_10,hypothesis,
( extension(X1,X2,y,z) = extension(X1,X2,w,x)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
e3_1 ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.22 % Problem : GEO063-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.02/0.22 % 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
% 0.12/0.46 % Computer : n020.cluster.edu
% 0.12/0.46 % Model : x86_64 x86_64
% 0.12/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.46 % Memory : 8042.1875MB
% 0.12/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.46 % CPULimit : 300
% 0.12/0.46 % WCLimit : 300
% 0.12/0.46 % DateTime : Mon May 4 17:38:20 EDT 2026
% 0.12/0.47 % CPUTime :
% 0.12/0.48 % start to proof: theBenchmark
% 1.21/1.92 % Version : CSE_E---1.7
% 1.21/1.92 % Problem : theBenchmark.p
% 1.21/1.92 % SZS status Unsatisfiable for theBenchmark.p
% 1.21/1.92 % SZS output start CNFRefutation
% See solution above
% 1.21/1.92 % Total time : 1.408s
%------------------------------------------------------------------------------