%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL080-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n013.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 0.24s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL080-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 08:41:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.44 start to proof:theBenchmark.p
% 0.24/0.56 % Version : CSI_E---1.1
% 0.24/0.56 % Problem : theBenchmark.p
% 0.24/0.56 % Proof found!
% 0.24/0.56 # SZS status Unsatisfiable
% 0.24/0.56 % SZS output start Proof
% 0.24/0.56 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)).
% 0.24/0.56 cnf(ic_3, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_3)).
% 0.24/0.56 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)).
% 0.24/0.56 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)).
% 0.24/0.56 cnf(ic_2, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_2)).
% 0.24/0.56 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])).
% 0.24/0.56 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 0.24/0.56 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), ic_3).
% 0.24/0.56 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), ic_4).
% 0.24/0.56 cnf(c_0_9, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X2),X1))), inference(pm,[status(thm)],[c_0_6, c_0_7])).
% 0.24/0.56 cnf(c_0_10, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(pm,[status(thm)],[c_0_6, c_0_8])).
% 0.24/0.56 cnf(c_0_11, 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])).
% 0.24/0.56 cnf(c_0_12, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(pm,[status(thm)],[c_0_9, c_0_10])).
% 0.24/0.56 cnf(c_0_13, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), ic_2).
% 0.24/0.56 cnf(c_0_14, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(implies(X1,X3))), inference(pm,[status(thm)],[c_0_6, c_0_10])).
% 0.24/0.56 cnf(c_0_15, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))), c_0_11).
% 0.24/0.56 cnf(c_0_16, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X1,X2),X1))), inference(pm,[status(thm)],[c_0_12, c_0_10])).
% 0.24/0.56 cnf(c_0_17, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(pm,[status(thm)],[c_0_6, c_0_13])).
% 0.24/0.56 cnf(c_0_18, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X3))|~is_a_theorem(implies(X1,X3))), inference(pm,[status(thm)],[c_0_14, c_0_7])).
% 0.24/0.56 cnf(c_0_19, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(pm,[status(thm)],[c_0_14, c_0_13])).
% 0.24/0.56 cnf(c_0_20, negated_conjecture, (~is_a_theorem(implies(X1,implies(implies(c,a),implies(e,a))))|~is_a_theorem(implies(implies(implies(a,b),c),X1))), inference(pm,[status(thm)],[c_0_15, c_0_14])).
% 0.24/0.56 cnf(c_0_21, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(pm,[status(thm)],[c_0_16, c_0_17])).
% 0.24/0.56 cnf(c_0_22, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))), inference(pm,[status(thm)],[c_0_14, c_0_8])).
% 0.24/0.56 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X3))|~is_a_theorem(implies(X1,implies(implies(implies(X1,X2),X1),X3)))), inference(pm,[status(thm)],[c_0_12, c_0_18])).
% 0.24/0.56 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))), inference(pm,[status(thm)],[c_0_19, c_0_13])).
% 0.24/0.56 cnf(c_0_25, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),c),implies(X1,implies(implies(c,a),implies(e,a)))))|~is_a_theorem(X1)), inference(pm,[status(thm)],[c_0_20, c_0_21])).
% 0.24/0.56 cnf(c_0_26, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X4),implies(implies(X2,X3),X4))))), inference(pm,[status(thm)],[c_0_22, c_0_8])).
% 0.24/0.56 cnf(c_0_27, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))), inference(pm,[status(thm)],[c_0_23, c_0_24])).
% 0.24/0.56 cnf(c_0_28, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_25, c_0_26]), c_0_27])]), ['proof']).
% 0.24/0.56 % SZS output end Proof
% 0.24/0.56 % User time : 0.065 s
% 0.24/0.56 % System time : 0.005 s
% 0.24/0.56 % Total time : 0.070 s
% 0.24/0.56 % User time : 0.311 s
% 0.24/0.56 % System time : 0.023 s
% 0.24/0.56 % Total time : 0.334 s
% 0.24/0.56
%------------------------------------------------------------------------------