%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO013-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 04:19:00 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.74s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 21 unt; 4 nHn; 33 RR)
% Number of literals : 50 ( 7 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).
cnf(abd3_colinear,hypothesis,
colinear(a,b,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd3_colinear) ).
cnf(c5_1,axiom,
( colinear(X4,X1,X3)
| X3 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5_1) ).
cnf(a_not_b,hypothesis,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
cnf(abd2_colinear,hypothesis,
colinear(a,b,d2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd2_colinear) ).
cnf(and1_colinear,hypothesis,
colinear(a,b,d1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_colinear) ).
cnf(t10_2,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_2) ).
cnf(t10_5,axiom,
( colinear(X2,X1,X3)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_5) ).
cnf(prove_d1d2d3_colinear,negated_conjecture,
~ colinear(d1,d2,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d1d2d3_colinear) ).
cnf(c_0_9,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_10,hypothesis,
colinear(a,b,d3),
abd3_colinear ).
cnf(c_0_11,axiom,
( colinear(X4,X1,X3)
| X3 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X4,X2,X3) ),
c5_1 ).
cnf(c_0_12,hypothesis,
colinear(d3,b,a),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,hypothesis,
a != b,
a_not_b ).
cnf(c_0_14,hypothesis,
colinear(a,b,d2),
abd2_colinear ).
cnf(c_0_15,hypothesis,
( colinear(d3,X1,a)
| ~ colinear(X1,b,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,hypothesis,
colinear(d2,b,a),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,hypothesis,
colinear(a,b,d1),
and1_colinear ).
cnf(c_0_18,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
t10_2 ).
cnf(c_0_19,hypothesis,
colinear(d3,d2,a),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,hypothesis,
colinear(d1,b,a),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_21,hypothesis,
colinear(d2,a,d3),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,hypothesis,
colinear(d3,d1,a),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_23,hypothesis,
( colinear(d2,X1,a)
| ~ colinear(X1,b,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_16]),c_0_13]) ).
cnf(c_0_24,hypothesis,
( a = d3
| colinear(d2,X1,d3)
| ~ colinear(X1,a,d3) ),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_25,hypothesis,
colinear(d1,a,d3),
inference(spm,[status(thm)],[c_0_18,c_0_22]) ).
cnf(c_0_26,axiom,
( colinear(X2,X1,X3)
| ~ colinear(X1,X2,X3) ),
t10_5 ).
cnf(c_0_27,hypothesis,
colinear(d2,d1,a),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_28,hypothesis,
( a = d3
| colinear(d2,d1,d3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ colinear(d1,d2,d3),
prove_d1d2d3_colinear ).
cnf(c_0_30,hypothesis,
colinear(d1,d2,a),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,hypothesis,
a = d3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_28]),c_0_29]) ).
cnf(c_0_32,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO013-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n001.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 17:37:18 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.32/1.74 % Version : CSE_E---1.7
% 1.32/1.74 % Problem : theBenchmark.p
% 1.32/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.74 % SZS output start CNFRefutation
% See solution above
% 1.32/1.74 % Total time : 1.371s
%------------------------------------------------------------------------------