%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO010-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 : Thu Jul 24 01:37:52 PM UTC 2025
% Result : Unsatisfiable 14.28s 2.18s
% Output : CNFRefutation 14.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_colinear_in_all_orders)
% Comments :
%------------------------------------------------------------------------------
cnf(90,plain,
( ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(a,c,b) ),
inference(cnf,[status(esa)],[prove_colinear_in_all_orders]) ).
cnf(l0,plain,
( ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(a,c,b) ),
inference(instantiation,[status(thm)],[90]) ).
cnf(88,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X0,X2) ),
inference(cnf,[status(esa)],[c2_3]) ).
cnf(l33,plain,
( ~ between(b,c,a)
| colinear(c,b,a) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(l3,plain,
( ~ between(c,a,b)
| colinear(a,c,b) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(87,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X2,X1) ),
inference(cnf,[status(esa)],[c2_2]) ).
cnf(l1,plain,
( ~ between(b,c,a)
| colinear(b,a,c) ),
inference(instantiation,[status(thm)],[87]) ).
cnf(21,plain,
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
inference(cnf,[status(esa)],[colinearity4]) ).
cnf(l38,plain,
( ~ colinear(a,b,c)
| between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(86,plain,
( ~ between(X0,X1,X2)
| colinear(X2,X1,X0) ),
inference(cnf,[status(esa)],[c2_1]) ).
cnf(l41,plain,
( ~ between(a,b,c)
| colinear(c,b,a) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(89,plain,
colinear(a,b,c),
inference(cnf,[status(esa)],[abc_colinear]) ).
cnf(l39,plain,
colinear(a,b,c),
inference(instantiation,[status(thm)],[89]) ).
cnf(l9,plain,
( ~ colinear(a,b,c)
| between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l30,plain,
( ~ between(a,b,c)
| colinear(a,c,b) ),
inference(instantiation,[status(thm)],[87]) ).
cnf(20,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
inference(cnf,[status(esa)],[colinearity3]) ).
cnf(l8,plain,
( ~ between(b,c,a)
| colinear(c,a,b) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l31,plain,
( ~ between(b,c,a)
| colinear(a,c,b) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(l27,plain,
colinear(a,b,c),
inference(instantiation,[status(thm)],[89]) ).
cnf(l4,plain,
( ~ colinear(a,b,c)
| between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(18,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
inference(cnf,[status(esa)],[colinearity1]) ).
cnf(l2,plain,
( ~ between(b,c,a)
| colinear(b,c,a) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l10,plain,
colinear(a,b,c),
inference(instantiation,[status(thm)],[89]) ).
cnf(l48,plain,
( ~ between(c,a,b)
| colinear(c,b,a) ),
inference(instantiation,[status(thm)],[87]) ).
cnf(l5,plain,
( ~ colinear(a,b,c)
| between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l16,plain,
( ~ between(a,b,c)
| colinear(b,c,a) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(19,plain,
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
inference(cnf,[status(esa)],[colinearity2]) ).
cnf(l18,plain,
( ~ between(c,a,b)
| colinear(b,c,a) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l23,plain,
colinear(a,b,c),
inference(instantiation,[status(thm)],[89]) ).
cnf(l32,plain,
( ~ between(c,a,b)
| colinear(b,a,c) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(l22,plain,
( ~ between(a,b,c)
| colinear(b,a,c) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(l15,plain,
( ~ colinear(a,b,c)
| between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l26,plain,
colinear(a,b,c),
inference(instantiation,[status(thm)],[89]) ).
cnf(l25,plain,
( ~ between(c,a,b)
| colinear(c,a,b) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l35,plain,
( ~ between(a,b,c)
| colinear(c,a,b) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l33,l3,l1,l38,l41,l39,l9,l30,l8,l31,l27,l4,l2,l10,l48,l5,l16,l18,l23,l32,l22,l15,l26,l25,l35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO010-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 10:35:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 14.28/2.18 % SZS status Theorem for theBenchmark
% 14.28/2.18 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------