%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO039-2 : 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 : n018.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 01:37:58 PM UTC 2025
% Result : Unsatisfiable 265.53s 33.63s
% Output : CNFRefutation 265.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
~ between(v,w,x),
inference(cnf,[status(esa)],[prove_corollary]) ).
cnf(l0,plain,
~ between(v,w,x),
inference(instantiation,[status(thm)],[20]) ).
cnf(6,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_betweeness]) ).
cnf(l30,plain,
( ~ between(x,w,x)
| x = w ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l23,plain,
( ~ equidistant(v,extension(X1_281,v,X2_281,X2_281),X2_281,X2_281)
| v = extension(X1_281,v,X2_281,X2_281) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(19,plain,
u = x,
inference(cnf,[status(esa)],[u_is_x]) ).
cnf(l106,plain,
u = x,
inference(instantiation,[status(thm)],[19]) ).
cnf(18,plain,
between(u,w,x),
inference(cnf,[status(esa)],[w_between_u_and_x]) ).
cnf(l216,plain,
between(u,w,x),
inference(instantiation,[status(thm)],[18]) ).
cnf(4,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l135,plain,
equidistant(v,extension(X1_281,v,X2_281,X2_281),X2_281,X2_281),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf,[status(esa)],[segment_construction1]) ).
cnf(l144,plain,
between(v,x,extension(v,x,X2_144,X2_144)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l254,plain,
( ~ equidistant(v,extension(X1_281,v,X2_281,X2_281),X2_281,X2_281)
| v = extension(X1_281,v,X2_281,X2_281) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l281,plain,
equidistant(v,extension(X1_281,v,X2_281,X2_281),X2_281,X2_281),
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
( ~ equidistant(extension(v,x,X2_144,X2_144),x,X2_144,X2_144)
| extension(v,x,X2_144,X2_144) = x ),
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(l6,plain,
( ~ equidistant(x,extension(v,x,X2_144,X2_144),extension(v,x,X2_144,X2_144),x)
| ~ equidistant(x,extension(v,x,X2_144,X2_144),X2_144,X2_144)
| equidistant(extension(v,x,X2_144,X2_144),x,X2_144,X2_144) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
equidistant(x,extension(v,x,X2_144,X2_144),X2_144,X2_144),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l22,plain,
equidistant(x,extension(v,x,X2_144,X2_144),extension(v,x,X2_144,X2_144),x),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l30,l23,l106,l216,l135,l144,l254,l281,l3,l6,l10,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO039-2 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 10:43:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.55 % launching worker at depth: 11
% 265.53/33.63 % SZS status Theorem for theBenchmark
% 265.53/33.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------