%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL080-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n012.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 11:20:18 AM UTC 2026
% Result : Unsatisfiable 40.08s 5.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL080-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.01 % Command : java -jar mcs_scs.jar %d %s
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 5 15:17:57 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.10/0.36 start to proof:theBenchmark.p
% 40.08/5.49 % Version : CSI_E---1.1
% 40.08/5.49 % Problem : theBenchmark.p
% 40.08/5.49 % Proof found!
% 40.08/5.49 # SZS status Unsatisfiable
% 40.08/5.49 % SZS output start Proof
% 40.08/5.49 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)).
% 40.08/5.49 cnf(ic_3, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_3)).
% 40.08/5.49 cnf(ic_4, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_4)).
% 40.08/5.49 cnf(ic_2, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_2)).
% 40.08/5.49 cnf(prove_ic_JLukasiewicz, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_ic_JLukasiewicz)).
% 40.08/5.49 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 40.08/5.49 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 40.08/5.49 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), ic_3).
% 40.08/5.49 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), ic_4).
% 40.08/5.49 cnf(c_0_9, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 40.08/5.49 cnf(c_0_10, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 40.08/5.49 cnf(c_0_11, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 40.08/5.49 cnf(c_0_12, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), ic_2).
% 40.08/5.49 cnf(c_0_13, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_11, c_0_10])).
% 40.08/5.49 cnf(c_0_14, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 40.08/5.49 cnf(c_0_15, 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_6, c_0_10])).
% 40.08/5.49 cnf(c_0_16, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 40.08/5.49 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_15, c_0_12])).
% 40.08/5.49 cnf(c_0_18, 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_15, c_0_16])).
% 40.08/5.49 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X1,implies(X4,X2)))), inference(spm,[status(thm)],[c_0_15, c_0_8])).
% 40.08/5.49 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X2),X3),X2))), inference(spm,[status(thm)],[c_0_9, c_0_17])).
% 40.08/5.49 cnf(c_0_21, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))), inference(spm,[status(thm)],[c_0_15, c_0_7])).
% 40.08/5.49 cnf(c_0_22, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))), inference(fof_simplification,[status(thm)],[prove_ic_JLukasiewicz])).
% 40.08/5.49 cnf(c_0_23, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(X2,X4)))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 40.08/5.49 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3))), inference(spm,[status(thm)],[c_0_20, c_0_17])).
% 40.08/5.49 cnf(c_0_25, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1))), inference(spm,[status(thm)],[c_0_21, c_0_7])).
% 40.08/5.49 cnf(c_0_26, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))), c_0_22).
% 40.08/5.49 cnf(c_0_27, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),X4)))|~is_a_theorem(implies(implies(X1,X3),X4))), inference(spm,[status(thm)],[c_0_23, c_0_8])).
% 40.08/5.49 cnf(c_0_28, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 40.08/5.49 cnf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])]), ['proof']).
% 40.08/5.49 % SZS output end Proof
% 40.08/5.49 % User time : 4.847 s
% 40.08/5.49 % System time : 0.194 s
% 40.08/5.49 % Total time : 5.041 s
% 40.08/5.49 % User time : 24.699 s
% 40.08/5.49 % System time : 0.439 s
% 40.08/5.49 % Total time : 25.138 s
% 40.08/5.49
%------------------------------------------------------------------------------