%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO067-2 : TPTP v9.2.1. Released v1.0.0.
% 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 : n006.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 04:19:12 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.72s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 47 ( 7 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 45 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(part_2,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_2) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(part_1,negated_conjecture,
( x = y
| ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_1) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c_0_8,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_9,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_10,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
part_2 ).
cnf(c_0_11,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
colinearity3 ).
cnf(c_0_12,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2 ).
cnf(c_0_13,negated_conjecture,
( x = y
| ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x) ),
part_1 ).
cnf(c_0_14,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1 ).
cnf(c_0_15,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_16,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( ~ colinear(x,y,x)
| ~ colinear(x,z,y)
| ~ between(x,y,x) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( y = x
| ~ between(y,x,x) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]),c_0_11]) ).
cnf(c_0_19,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( ~ between(x,y,x)
| ~ between(z,y,x) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_12]),c_0_14]) ).
cnf(c_0_21,negated_conjecture,
y = x,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_19]),c_0_21]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO067-2 : TPTP v9.2.1. Released v1.0.0.
% 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
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:39:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.72 % SZS output start CNFRefutation
% See solution above
% 1.24/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------