%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET821-2 : 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 : 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 : Fri Jul 25 03:32:44 PM UTC 2025
% Result : Unsatisfiable 35.88s 4.84s
% Output : CNFRefutation 35.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
( ~ c_in(v_b,X0,tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
( ~ c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf,[status(esa)],[cls_Set_OinsertCI_1]) ).
cnf(l1,plain,
c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
inference(cnf,[status(esa)],[cls_Set_OinsertE_0]) ).
cnf(l51,plain,
( ~ c_in(v_a,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| v_a = v_b ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X1,X1,X0) ),
inference(cnf,[status(esa)],[cls_Orderings_Oorder__less__irrefl__iff1_0]) ).
cnf(l287,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ c_less(v_b,v_b,tc_IntDef_Oint) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
inference(cnf,[status(esa)],[cls_Set_OComplD__dest_0]) ).
cnf(l55,plain,
( ~ c_in(v_a,c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_a,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
inference(cnf,[status(esa)],[clsarity_IntDef__Oint_31]) ).
cnf(l304,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
inference(instantiation,[status(thm)],[9]) ).
cnf(l59,plain,
( ~ c_in(v_c,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| v_c = v_b ),
inference(instantiation,[status(thm)],[5]) ).
cnf(3,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,c_insert(X3,X1,X2),X2) ),
inference(cnf,[status(esa)],[cls_Set_OinsertCI_0]) ).
cnf(l56,plain,
( ~ c_in(v_a,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l60,plain,
( ~ c_in(v_c,c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_c,c_uminus(c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l75,plain,
c_in(v_a,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),
inference(instantiation,[status(thm)],[4]) ).
cnf(l87,plain,
c_in(v_c,c_insert(v_c,c_insert(v_a,X1_75,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
c_less(v_a,v_b,tc_IntDef_Oint),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l285,plain,
c_less(v_a,v_b,tc_IntDef_Oint),
inference(instantiation,[status(thm)],[6]) ).
cnf(l314,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ c_less(v_b,v_b,tc_IntDef_Oint) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l321,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
inference(instantiation,[status(thm)],[9]) ).
cnf(7,plain,
c_less(v_b,v_c,tc_IntDef_Oint),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l324,plain,
c_less(v_b,v_c,tc_IntDef_Oint),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l51,l287,l55,l304,l59,l56,l60,l75,l87,l285,l314,l321,l324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET821-2 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Mon Jul 21 22:47:04 EDT 2025
% 0.19/0.33 % CPUTime :
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.20/0.50 % launching worker at depth: 11
% 35.88/4.84 % SZS status Theorem for theBenchmark
% 35.88/4.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------