%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 07:13:53 AM UTC 2026
% Result : Unsatisfiable 75.37s 18.40s
% Output : CNFRefutation 75.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 16 unt; 8 nHn; 26 RR)
% Number of literals : 47 ( 11 equ; 18 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 : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t12_1,axiom,
( X0 = X1
| colinear(X0,X2,X3)
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2) ) ).
cnf(t12_2,axiom,
( X0 = X1
| colinear(X1,X2,X3)
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2) ) ).
cnf(a_not_b,hypothesis,
a != b ).
cnf(and1_colinear,hypothesis,
colinear(a,b,d1) ).
cnf(abd2_colinear,hypothesis,
colinear(a,b,d2) ).
cnf(abd3_colinear,hypothesis,
colinear(a,b,d3) ).
cnf(prove_d1d2d3_colinear,negated_conjecture,
~ colinear(d1,d2,d3) ).
cnf(c_76,plain,
( X3 = X0
| ~ colinear(X0,X3,X2)
| ~ colinear(X0,X3,X1)
| colinear(X0,X1,X2) ),
inference(clausification,[status(esa)],[t12_1]) ).
cnf(c_77,plain,
( X0 = X3
| ~ colinear(X3,X0,X2)
| ~ colinear(X3,X0,X1)
| colinear(X0,X1,X2) ),
inference(clausification,[status(esa)],[t12_2]) ).
cnf(c_80,plain,
b != a,
inference(clausification,[status(esa)],[a_not_b]) ).
cnf(c_81,plain,
colinear(a,b,d1),
inference(clausification,[status(esa)],[and1_colinear]) ).
cnf(c_82,plain,
colinear(a,b,d2),
inference(clausification,[status(esa)],[abd2_colinear]) ).
cnf(c_83,plain,
colinear(a,b,d3),
inference(clausification,[status(esa)],[abd3_colinear]) ).
cnf(c_84,plain,
~ colinear(d1,d2,d3),
inference(clausification,[status(esa)],[prove_d1d2d3_colinear]) ).
cnf(d_0,plain,
( ~ colinear(a,b,X0)
| colinear(a,X0,d2)
| b = a ),
inference(resolution,[status(thm)],[c_76,c_82]) ).
cnf(d_1,plain,
( ~ colinear(a,b,X0)
| colinear(a,X0,d2) ),
inference(resolution,[status(thm)],[c_80,d_0]) ).
cnf(d_2,plain,
colinear(a,d1,d2),
inference(resolution,[status(thm)],[d_1,c_81]) ).
cnf(d_3,plain,
( ~ colinear(a,b,X0)
| colinear(a,X0,d3)
| b = a ),
inference(resolution,[status(thm)],[c_76,c_83]) ).
cnf(d_4,plain,
( ~ colinear(a,b,X0)
| colinear(a,X0,d3) ),
inference(resolution,[status(thm)],[c_80,d_3]) ).
cnf(d_5,plain,
colinear(a,d1,d3),
inference(resolution,[status(thm)],[d_4,c_81]) ).
cnf(d_6,plain,
( ~ colinear(a,d1,X0)
| colinear(d1,X0,d3)
| d1 = a ),
inference(resolution,[status(thm)],[d_5,c_77]) ).
cnf(d_7,plain,
( colinear(d1,d2,d3)
| d1 = a ),
inference(resolution,[status(thm)],[d_6,d_2]) ).
cnf(d_8,plain,
d1 = a,
inference(resolution,[status(thm)],[c_84,d_7]) ).
cnf(d_9,plain,
~ colinear(a,d2,d3),
inference(demodulation,[status(thm)],[c_84,d_8]) ).
cnf(d_10,plain,
colinear(a,d2,d3),
inference(resolution,[status(thm)],[d_4,c_82]) ).
cnf(d_11,plain,
$false,
inference(resolution,[status(thm)],[d_10,d_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n014.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Fri Sep 25 12:32:03 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 75.37/18.40 % SZS status Unsatisfiable for theBenchmark.p
% 75.37/18.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------