%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET838-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.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 : Fri Jul 25 03:32:48 PM UTC 2025
% Result : Unsatisfiable 70.05s 9.15s
% Output : CNFRefutation 70.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
v_f(v_g(v_x)) = v_x,
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
v_f(v_g(v_x)) = v_x,
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( v_f(v_g(X0)) != X0
| X0 = v_x ),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l37,plain,
( v_f(v_g(v_f(v_xa(v_g(v_x))))) != v_f(v_xa(v_g(v_x)))
| v_f(v_xa(v_g(v_x))) = v_x ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( v_g(v_f(X0)) != X0
| v_g(v_f(v_xa(X0))) = v_xa(X0) ),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l48,plain,
( v_g(v_f(v_g(v_x))) != v_g(v_x)
| v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l84,plain,
( v_g(v_f(v_g(v_x))) != v_g(v_x)
| v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( v_g(v_f(X0)) != X0
| v_xa(X0) != X0 ),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l103,plain,
( v_g(v_f(v_g(v_x))) != v_g(v_x)
| v_xa(v_g(v_x)) != v_g(v_x) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l37,l48,l84,l103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET838-2 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 22:50:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.42 % launching worker at depth: 11
% 6.46/1.18 % launching worker at depth: 12
% 70.05/9.15 % SZS status Theorem for theBenchmark
% 70.05/9.15 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------