%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:21:52 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 08:58:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.42 start to proof:theBenchmark.p
% 0.24/0.48 % Version : CSI_E---1.1
% 0.24/0.48 % Problem : theBenchmark.p
% 0.24/0.48 % Proof found!
% 0.24/0.48 # SZS status Unsatisfiable
% 0.24/0.48 % SZS output start Proof
% 0.24/0.48 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 0.24/0.48 cnf(c, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', c)).
% 0.24/0.48 cnf(b, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', b)).
% 0.24/0.48 cnf(i, axiom, (is_a_theorem(implies(X1,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', i)).
% 0.24/0.48 cnf(prove_rezus, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)),implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22))),v22))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_rezus)).
% 0.24/0.48 cnf(w, axiom, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', w)).
% 0.24/0.48 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.24/0.48 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_6).
% 0.24/0.48 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), c).
% 0.24/0.48 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), b).
% 0.24/0.48 cnf(c_0_10, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.24/0.48 cnf(c_0_11, axiom, (is_a_theorem(implies(X1,X1))), i).
% 0.24/0.48 cnf(c_0_12, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_7, c_0_9])).
% 0.24/0.48 cnf(c_0_13, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.24/0.48 cnf(c_0_14, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)),implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22))),v22))), inference(fof_simplification,[status(thm)],[prove_rezus])).
% 0.24/0.48 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_7, c_0_12])).
% 0.24/0.48 cnf(c_0_16, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_7, c_0_13])).
% 0.24/0.48 cnf(c_0_17, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)),implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22))),v22))), c_0_14).
% 0.24/0.48 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(X2,X3))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.24/0.48 cnf(c_0_19, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22))|~is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.24/0.48 cnf(c_0_20, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15))|~is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))|~is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))), inference(spm,[status(thm)],[c_0_19, c_0_18])).
% 0.24/0.48 cnf(c_0_21, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_10, c_0_9])).
% 0.24/0.48 cnf(c_0_22, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15),v15))|~is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))|~is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_18]), c_0_21])])).
% 0.24/0.48 cnf(c_0_23, negated_conjecture, (~is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))|~is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))|~is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))), inference(spm,[status(thm)],[c_0_22, c_0_16])).
% 0.24/0.48 cnf(c_0_24, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))|~is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))|~is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)))), inference(spm,[status(thm)],[c_0_23, c_0_16])).
% 0.24/0.48 cnf(c_0_25, axiom, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), w).
% 0.24/0.48 cnf(c_0_26, negated_conjecture, (~is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))|~is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)))|~is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_18]), c_0_25])])).
% 0.24/0.48 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),X4)))|~is_a_theorem(implies(X3,implies(X1,X4)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_10, c_0_18])).
% 0.24/0.48 cnf(c_0_28, negated_conjecture, (~is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))|~is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))|~is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_11])])).
% 0.24/0.48 cnf(c_0_29, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,X3))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_7, c_0_18])).
% 0.24/0.48 cnf(c_0_30, negated_conjecture, (~is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))|~is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))|~is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_27]), c_0_11])])).
% 0.24/0.48 cnf(c_0_31, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X3),X1))|~is_a_theorem(implies(X2,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_29, c_0_25])).
% 0.24/0.48 cnf(c_0_32, negated_conjecture, (~is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))|~is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))|~is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_18]), c_0_11])])).
% 0.24/0.48 cnf(c_0_33, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,implies(X2,X3)))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_31, c_0_18])).
% 0.24/0.48 cnf(c_0_34, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))|~is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))|~is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_18]), c_0_11])])).
% 0.24/0.48 cnf(c_0_35, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_9]), c_0_11])])).
% 0.24/0.48 cnf(c_0_36, negated_conjecture, (~is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))|~is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_16]), c_0_21])])).
% 0.24/0.48 cnf(c_0_37, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_35, c_0_13])).
% 0.24/0.48 cnf(c_0_38, negated_conjecture, (~is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_18]), c_0_37]), c_0_11])])).
% 0.24/0.48 cnf(c_0_39, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_18]), c_0_37]), c_0_11])]), ['proof']).
% 0.24/0.48 % SZS output end Proof
% 0.24/0.48 % User time : 0.015 s
% 0.24/0.48 % System time : 0.004 s
% 0.24/0.48 % Total time : 0.019 s
% 0.24/0.48 % User time : 0.016 s
% 0.24/0.48 % System time : 0.008 s
% 0.24/0.48 % Total time : 0.024 s
% 0.24/0.48
%------------------------------------------------------------------------------