%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SCT028-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 03:20:09 PM UTC 2025
% Result : Unsatisfiable 7.43s 1.27s
% Output : CNFRefutation 7.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(511,plain,
( ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
( ~ c_in(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(instantiation,[status(thm)],[511]) ).
cnf(497,plain,
( ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| X1 = X2
| c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X0,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(cnf,[status(esa)],[cls_in__above_5]) ).
cnf(l4,plain,
( ~ c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| v_a = v_b
| c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(instantiation,[status(thm)],[497]) ).
cnf(447,plain,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(cnf,[status(esa)],[cls_linear__alt_0]) ).
cnf(l10,plain,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(instantiation,[status(thm)],[447]) ).
cnf(504,plain,
v_a != v_b,
inference(cnf,[status(esa)],[cls_assms_0]) ).
cnf(l8,plain,
v_a != v_b,
inference(instantiation,[status(thm)],[504]) ).
cnf(450,plain,
( ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| X1 = X2
| c_in(c_Arrow__Order__Mirabelle_Oabove(X0,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(cnf,[status(esa)],[cls_above__Lin_0]) ).
cnf(l1,plain,
( ~ c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| v_a = v_b
| c_in(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(instantiation,[status(thm)],[450]) ).
cnf(l3,plain,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(instantiation,[status(thm)],[447]) ).
cnf(l11,plain,
v_a != v_b,
inference(instantiation,[status(thm)],[504]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l10,l8,l1,l3,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT028-1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 18:27:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % launching worker at depth: 1
% 0.12/0.36 % launching worker at depth: 2
% 0.12/0.36 % launching worker at depth: 5
% 0.12/0.36 % launching worker at depth: 7
% 0.12/0.36 % launching worker at depth: 6
% 0.12/0.36 % launching worker at depth: 3
% 0.12/0.36 % launching worker at depth: 4
% 0.12/0.36 % launching worker at depth: 8
% 0.12/0.37 % launching worker at depth: 9
% 7.43/1.27 % SZS status Theorem for theBenchmark
% 7.43/1.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------