%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO003-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 01:37:50 PM UTC 2025
% Result : Unsatisfiable 85.28s 11.01s
% Output : CNFRefutation 85.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_b_between_a_and_b)
% Comments :
%------------------------------------------------------------------------------
cnf(18,plain,
~ between(a,b,b),
inference(cnf,[status(esa)],[prove_b_between_a_and_b]) ).
cnf(l0,plain,
~ between(a,b,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l49,plain,
( ~ equidistant(extension(X1_249,b,X2_249,X2_249),b,X2_249,X2_249)
| extension(X1_249,b,X2_249,X2_249) = b ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
( ~ equidistant(extension(a,b,X2_33,X2_33),b,X2_33,X2_33)
| extension(a,b,X2_33,X2_33) = b ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(cnf,[status(esa)],[transitivity_for_equidistance]) ).
cnf(l54,plain,
( ~ equidistant(b,extension(X1_249,b,X2_249,X2_249),extension(X1_249,b,X2_249,X2_249),b)
| ~ equidistant(b,extension(X1_249,b,X2_249,X2_249),X2_249,X2_249)
| equidistant(extension(X1_249,b,X2_249,X2_249),b,X2_249,X2_249) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l55,plain,
equidistant(b,extension(X1_249,b,X2_249,X2_249),extension(X1_249,b,X2_249,X2_249),b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
( ~ equidistant(a,extension(X1_257,a,X2_257,X2_257),X2_257,X2_257)
| a = extension(X1_257,a,X2_257,X2_257) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l31,plain,
equidistant(a,extension(X1_257,a,X2_257,X2_257),X2_257,X2_257),
inference(instantiation,[status(thm)],[4]) ).
cnf(l151,plain,
equidistant(b,extension(X1_249,b,X2_249,X2_249),X2_249,X2_249),
inference(instantiation,[status(thm)],[4]) ).
cnf(l6,plain,
( ~ equidistant(b,extension(a,b,X2_33,X2_33),extension(a,b,X2_33,X2_33),b)
| ~ equidistant(b,extension(a,b,X2_33,X2_33),X2_33,X2_33)
| equidistant(extension(a,b,X2_33,X2_33),b,X2_33,X2_33) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l33,plain,
equidistant(b,extension(a,b,X2_33,X2_33),X2_33,X2_33),
inference(instantiation,[status(thm)],[4]) ).
cnf(l14,plain,
equidistant(b,extension(a,b,X2_33,X2_33),extension(a,b,X2_33,X2_33),b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l255,plain,
( ~ equidistant(a,extension(X1_257,a,X2_257,X2_257),X2_257,X2_257)
| a = extension(X1_257,a,X2_257,X2_257) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l118,plain,
( ~ equidistant(b,extension(X1_249,b,X2_249,X2_249),X2_249,X2_249)
| b = extension(X1_249,b,X2_249,X2_249) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l257,plain,
equidistant(a,extension(X1_257,a,X2_257,X2_257),X2_257,X2_257),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf,[status(esa)],[segment_construction1]) ).
cnf(l237,plain,
between(a,b,extension(a,b,X2_33,X2_33)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l249,plain,
equidistant(b,extension(X1_249,b,X2_249,X2_249),X2_249,X2_249),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l49,l3,l54,l55,l21,l31,l151,l6,l33,l14,l255,l118,l257,l237,l249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO003-2 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n022.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 10:31:19 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.13/0.29 % launching worker at depth: 4
% 0.13/0.29 % launching worker at depth: 1
% 0.13/0.29 % launching worker at depth: 3
% 0.13/0.29 % launching worker at depth: 2
% 0.13/0.29 % launching worker at depth: 8
% 0.13/0.29 % launching worker at depth: 5
% 0.13/0.29 % launching worker at depth: 6
% 0.13/0.29 % launching worker at depth: 7
% 0.13/0.29 % launching worker at depth: 9
% 0.13/0.29 % launching worker at depth: 10
% 0.13/0.47 % launching worker at depth: 11
% 85.28/11.01 % SZS status Theorem for theBenchmark
% 85.28/11.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------