%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL428-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n029.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 11:20:57 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL428-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n029.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 22:04:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 0.23/0.55 % Version : CSI_E---1.1
% 0.23/0.55 % Problem : theBenchmark.p
% 0.23/0.55 % Proof found!
% 0.23/0.55 # SZS status Unsatisfiable
% 0.23/0.55 % SZS output start Proof
% 0.23/0.55 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)).
% 0.23/0.55 cnf(mv2, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv2)).
% 0.23/0.55 cnf(mv3, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv3)).
% 0.23/0.55 cnf(mv1, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv1)).
% 0.23/0.55 cnf(prove_hr, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(y,x)),implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16))),v16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_hr)).
% 0.23/0.55 cnf(mv5, axiom, (is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X1)),implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv5)).
% 0.23/0.55 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])).
% 0.23/0.55 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_6).
% 0.23/0.55 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), mv2).
% 0.23/0.55 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))), mv3).
% 0.23/0.55 cnf(c_0_10, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), mv1).
% 0.23/0.55 cnf(c_0_11, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.23/0.55 cnf(c_0_12, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X2,X1),X1))), inference(spm,[status(thm)],[c_0_7, c_0_9])).
% 0.23/0.55 cnf(c_0_13, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_7, c_0_10])).
% 0.23/0.55 cnf(c_0_14, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_7, c_0_11])).
% 0.23/0.55 cnf(c_0_15, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.23/0.55 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.23/0.55 cnf(c_0_17, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(y,x)),implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16))),v16))), inference(fof_simplification,[status(thm)],[prove_hr])).
% 0.23/0.55 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),X3))|~is_a_theorem(X2)|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_16, c_0_15])).
% 0.23/0.55 cnf(c_0_19, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(y,x)),implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16))),v16))), c_0_17).
% 0.23/0.55 cnf(c_0_20, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X4))),X4))|~is_a_theorem(X3)|~is_a_theorem(X2)|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_16, c_0_18])).
% 0.23/0.55 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))|~is_a_theorem(implies(X1,implies(implies(X3,X2),X2)))), inference(spm,[status(thm)],[c_0_14, c_0_9])).
% 0.23/0.55 cnf(c_0_22, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_10]), c_0_10])])).
% 0.23/0.55 cnf(c_0_23, axiom, (is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X1)),implies(X2,X1)))), mv5).
% 0.23/0.55 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(X4,X3)))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_14, c_0_11])).
% 0.23/0.55 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_21, c_0_10])).
% 0.23/0.55 cnf(c_0_26, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_18]), c_0_23])])).
% 0.23/0.55 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.23/0.55 cnf(c_0_28, negated_conjecture, (~is_a_theorem(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_18]), c_0_9])])).
% 0.23/0.55 cnf(c_0_29, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_27, c_0_8])).
% 0.23/0.55 cnf(c_0_30, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_18]), c_0_10]), c_0_29])]), ['proof']).
% 0.23/0.55 % SZS output end Proof
% 0.23/0.55 % User time : 0.054 s
% 0.23/0.55 % System time : 0.007 s
% 0.23/0.55 % Total time : 0.061 s
% 0.23/0.55 % User time : 0.267 s
% 0.23/0.55 % System time : 0.020 s
% 0.23/0.55 % Total time : 0.287 s
% 0.23/0.55
%------------------------------------------------------------------------------