%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO026-2 : 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 : n027.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 01:37:55 PM UTC 2025
% Result : Unsatisfiable 123.32s 15.80s
% Output : CNFRefutation 123.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_w_is_x)
% Comments :
%------------------------------------------------------------------------------
cnf(22,plain,
w != x,
inference(cnf,[status(esa)],[prove_w_is_x]) ).
cnf(l0,plain,
w != x,
inference(instantiation,[status(thm)],[22]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l1,plain,
( ~ equidistant(w,x,x,x)
| w = x ),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ between(X0,X1,X6)
| ~ between(X2,X3,X7)
| X0 = X1
| equidistant(X6,X4,X7,X5) ),
inference(cnf,[status(esa)],[outer_five_segment]) ).
cnf(l2,plain,
( ~ equidistant(u,v,u,v)
| ~ equidistant(u,x,u,x)
| ~ equidistant(v,w,v,x)
| ~ equidistant(v,x,v,x)
| ~ between(u,v,w)
| ~ between(u,v,x)
| u = v
| equidistant(w,x,x,x) ),
inference(instantiation,[status(thm)],[5]) ).
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,u,u,x)
| ~ equidistant(x,u,u,x)
| equidistant(u,x,u,x) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l9,plain,
equidistant(x,u,u,x),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
equidistant(x,u,u,x),
inference(instantiation,[status(thm)],[0]) ).
cnf(18,plain,
between(u,v,w),
inference(cnf,[status(esa)],[v_between_u_and_w]) ).
cnf(l8,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[18]) ).
cnf(l4,plain,
( ~ equidistant(v,u,u,v)
| ~ equidistant(v,u,u,v)
| equidistant(u,v,u,v) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(20,plain,
equidistant(v,w,v,x),
inference(cnf,[status(esa)],[v_to_w_equals_v_to_x]) ).
cnf(l3,plain,
equidistant(v,w,v,x),
inference(instantiation,[status(thm)],[20]) ).
cnf(l47,plain,
equidistant(v,u,u,v),
inference(instantiation,[status(thm)],[0]) ).
cnf(19,plain,
between(u,v,x),
inference(cnf,[status(esa)],[v_between_u_and_x]) ).
cnf(l7,plain,
between(u,v,x),
inference(instantiation,[status(thm)],[19]) ).
cnf(l5,plain,
( ~ equidistant(x,v,v,x)
| ~ equidistant(x,v,v,x)
| equidistant(v,x,v,x) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l46,plain,
equidistant(v,u,u,v),
inference(instantiation,[status(thm)],[0]) ).
cnf(21,plain,
u != v,
inference(cnf,[status(esa)],[u_not_v]) ).
cnf(l124,plain,
u != v,
inference(instantiation,[status(thm)],[21]) ).
cnf(l38,plain,
equidistant(x,v,v,x),
inference(instantiation,[status(thm)],[0]) ).
cnf(l40,plain,
equidistant(x,v,v,x),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l9,l15,l8,l4,l3,l47,l7,l5,l46,l124,l38,l40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO026-2 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 10:39:19 EDT 2025
% 0.12/0.34 % 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: 6
% 0.12/0.34 % launching worker at depth: 5
% 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: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 6.83/1.19 % launching worker at depth: 11
% 123.32/15.80 % SZS status Theorem for theBenchmark
% 123.32/15.80 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------