%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN558-1 : TPTP v9.0.0. Released v2.5.0.
% 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 : Fri Jul 25 09:28:00 PM UTC 2025
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named p2_1)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
p2(X0,X0),
inference(cnf,[status(esa)],[p2_1]) ).
cnf(l0,plain,
p2(c9,c9),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ p2(X0,X1)
| p2(f3(X0),f3(X1)) ),
inference(cnf,[status(esa)],[p2_7]) ).
cnf(l1,plain,
( ~ p2(c9,c9)
| p2(f3(c9),f3(c9)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
( ~ p2(X0,X1)
| ~ p2(X0,X2)
| p2(X1,X2) ),
inference(cnf,[status(esa)],[p2_9]) ).
cnf(l2,plain,
( ~ p2(f3(c9),f3(c8))
| ~ p2(f3(c9),f3(c9))
| p2(f3(c8),f3(c9)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(12,plain,
( ~ p6(c7,X0)
| ~ p6(c7,X1)
| ~ p5(c7,X2,X0)
| ~ p5(c7,X2,X1)
| p2(X0,X1) ),
inference(cnf,[status(esa)],[p2_13]) ).
cnf(l18,plain,
( ~ p6(c7,f3(c9))
| ~ p6(c7,f3(c8))
| ~ p5(c7,c10,f3(c9))
| ~ p5(c7,c10,f3(c8))
| p2(f3(c9),f3(c8)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(10,plain,
( ~ p5(X0,X1,X2)
| ~ p5(X0,X2,X3)
| p5(X0,X1,X3) ),
inference(cnf,[status(esa)],[p5_11]) ).
cnf(l55,plain,
( ~ p5(c7,c10,c9)
| ~ p5(c7,c9,f3(c9))
| p5(c7,c10,f3(c9)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(13,plain,
( ~ p2(X0,X1)
| ~ p2(X2,X3)
| ~ p4(X4,X5)
| ~ p5(X4,X0,X2)
| p5(X5,X1,X3) ),
inference(cnf,[status(esa)],[p5_14]) ).
cnf(l16,plain,
( ~ p2(c8,c8)
| ~ p2(f3(c8),f3(c9))
| ~ p4(c7,c7)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c8,f3(c9)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(7,plain,
( ~ p5(c7,c9,X0)
| ~ p5(c7,c8,X0) ),
inference(cnf,[status(esa)],[not_p5_8]) ).
cnf(l43,plain,
( ~ p5(c7,c9,f3(c9))
| ~ p5(c7,c8,f3(c9)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,plain,
p5(c7,X0,f3(X0)),
inference(cnf,[status(esa)],[p5_6]) ).
cnf(l45,plain,
p5(c7,c9,f3(c9)),
inference(instantiation,[status(thm)],[5]) ).
cnf(l58,plain,
p5(c7,c9,f3(c9)),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
p6(c7,f3(X0)),
inference(cnf,[status(esa)],[p6_3]) ).
cnf(l23,plain,
p6(c7,f3(c8)),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
p4(X0,X0),
inference(cnf,[status(esa)],[p4_2]) ).
cnf(l20,plain,
p4(c7,c7),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
p5(c7,c10,c9),
inference(cnf,[status(esa)],[p5_4]) ).
cnf(l57,plain,
p5(c7,c10,c9),
inference(instantiation,[status(thm)],[3]) ).
cnf(l36,plain,
p5(c7,c8,f3(c8)),
inference(instantiation,[status(thm)],[5]) ).
cnf(l46,plain,
p2(c8,c8),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
p6(c7,f3(c9)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l52,plain,
( ~ p5(c7,c10,c8)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c10,f3(c8)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(4,plain,
p5(c7,c10,c8),
inference(cnf,[status(esa)],[p5_5]) ).
cnf(l59,plain,
p5(c7,c10,c8),
inference(instantiation,[status(thm)],[4]) ).
cnf(l53,plain,
p5(c7,c8,f3(c8)),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l18,l55,l16,l43,l45,l58,l23,l20,l57,l36,l46,l19,l52,l59,l53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN558-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.31 % Computer : n021.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Jul 22 17:33:49 EDT 2025
% 0.12/0.31 % CPUTime :
% 0.16/0.31 % launching worker at depth: 1
% 0.16/0.31 % launching worker at depth: 2
% 0.16/0.31 % launching worker at depth: 3
% 0.16/0.31 % launching worker at depth: 4
% 0.16/0.31 % launching worker at depth: 5
% 0.16/0.31 % launching worker at depth: 6
% 0.16/0.31 % launching worker at depth: 8
% 0.16/0.31 % launching worker at depth: 7
% 0.16/0.31 % launching worker at depth: 9
% 0.16/0.32 % launching worker at depth: 10
% 0.16/0.39 % launching worker at depth: 11
% 0.16/0.45 % SZS status Theorem for theBenchmark
% 0.16/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------