%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO039-3 : TPTP v9.0.0. Released v1.0.0.
% 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 01:37:58 PM UTC 2025
% Result : Unsatisfiable 73.17s 9.69s
% Output : CNFRefutation 73.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary)
% Comments :
%------------------------------------------------------------------------------
cnf(46,plain,
~ between(v,w,x),
inference(cnf,[status(esa)],[prove_corollary]) ).
cnf(l0,plain,
~ between(v,w,x),
inference(instantiation,[status(thm)],[46]) ).
cnf(29,plain,
( X0 != extension(X1,X2,X3,X4)
| between(X1,X2,X0) ),
inference(cnf,[status(esa)],[b0]) ).
cnf(l1,plain,
( x != extension(v,w,X2_80,X2_80)
| between(v,w,x) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(38,plain,
( ~ between(X0,X1,X2)
| X0 = X1
| X2 = extension(X0,X1,X1,X2) ),
inference(cnf,[status(esa)],[d10_1]) ).
cnf(l3,plain,
( ~ between(x,extension(v,w,X2_80,X2_80),x)
| x = extension(v,w,X2_80,X2_80)
| x = extension(x,extension(v,w,X2_80,X2_80),extension(v,w,X2_80,X2_80),x) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l123,plain,
( x != extension(x,extension(v,w,X2_80,X2_80),extension(v,w,X2_80,X2_80),x)
| between(x,extension(v,w,X2_80,X2_80),x) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(6,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_betweeness]) ).
cnf(l403,plain,
( ~ between(x,extension(v,w,X2_80,X2_80),x)
| x = extension(v,w,X2_80,X2_80) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(45,plain,
u = x,
inference(cnf,[status(esa)],[u_is_x]) ).
cnf(l53,plain,
u = x,
inference(instantiation,[status(thm)],[45]) ).
cnf(28,plain,
X0 = extension(X1,X0,X2,X2),
inference(cnf,[status(esa)],[e1]) ).
cnf(l80,plain,
w = extension(v,w,X2_80,X2_80),
inference(instantiation,[status(thm)],[28]) ).
cnf(44,plain,
between(u,w,x),
inference(cnf,[status(esa)],[w_between_u_and_x]) ).
cnf(l71,plain,
between(u,w,x),
inference(instantiation,[status(thm)],[44]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l123,l403,l53,l80,l71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO039-3 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % 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 10:43:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 20.29/2.95 % launching worker at depth: 11
% 73.17/9.69 % SZS status Theorem for theBenchmark
% 73.17/9.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------