%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL111-1 : 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 11:20:21 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL111-1 : 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 : Fri Sep 4 18:59:57 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.08/0.35 start to proof:theBenchmark.p
% 0.08/0.42 % Version : CSI_E---1.1
% 0.08/0.42 % Problem : theBenchmark.p
% 0.08/0.42 % Proof found!
% 0.08/0.42 # SZS status Unsatisfiable
% 0.08/0.42 % SZS output start Proof
% 0.08/0.42 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)).
% 0.08/0.42 cnf(mv_2, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_2)).
% 0.08/0.42 cnf(mv_3, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_3)).
% 0.08/0.42 cnf(mv_1, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_1)).
% 0.08/0.42 cnf(prove_mv_25, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_mv_25)).
% 0.08/0.42 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])).
% 0.08/0.42 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 0.08/0.42 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), mv_2).
% 0.08/0.42 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))), mv_3).
% 0.08/0.42 cnf(c_0_9, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), mv_1).
% 0.08/0.42 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_7])).
% 0.08/0.42 cnf(c_0_11, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X2,X1),X1))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 0.08/0.42 cnf(c_0_12, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_9])).
% 0.08/0.42 cnf(c_0_13, 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])).
% 0.08/0.42 cnf(c_0_14, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.08/0.42 cnf(c_0_15, 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_13, c_0_14])).
% 0.08/0.42 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_15, c_0_9])).
% 0.08/0.42 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_13, c_0_9])).
% 0.08/0.42 cnf(c_0_18, plain, (is_a_theorem(implies(implies(implies(X1,X2),X2),X1))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_15, c_0_8])).
% 0.08/0.42 cnf(c_0_19, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_16, c_0_7])).
% 0.08/0.42 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_6, c_0_17])).
% 0.08/0.42 cnf(c_0_21, plain, (is_a_theorem(implies(implies(X1,implies(X1,X1)),implies(X1,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_18]), c_0_19])])).
% 0.08/0.42 cnf(c_0_22, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))|~is_a_theorem(implies(implies(X3,X2),X2))), inference(spm,[status(thm)],[c_0_20, c_0_8])).
% 0.08/0.42 cnf(c_0_23, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_9])])).
% 0.08/0.42 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.08/0.42 cnf(c_0_25, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),X3))), inference(spm,[status(thm)],[c_0_11, c_0_24])).
% 0.08/0.42 cnf(c_0_26, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X4))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_13, c_0_17])).
% 0.08/0.42 cnf(c_0_27, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(implies(X3,X3),X4),X4),X2))), inference(spm,[status(thm)],[c_0_20, c_0_25])).
% 0.08/0.42 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X1),X3))), inference(spm,[status(thm)],[c_0_26, c_0_9])).
% 0.08/0.42 cnf(c_0_29, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(implies(X4,X4),X3)))), inference(spm,[status(thm)],[c_0_27, c_0_10])).
% 0.08/0.42 cnf(c_0_30, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3))))), inference(spm,[status(thm)],[c_0_28, c_0_8])).
% 0.08/0.42 cnf(c_0_31, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_6, c_0_18])).
% 0.08/0.42 cnf(c_0_32, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 0.08/0.42 cnf(c_0_33, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,X3),X3)),X1))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 0.08/0.42 cnf(c_0_34, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_15, c_0_7])).
% 0.08/0.42 cnf(c_0_35, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 0.08/0.42 cnf(c_0_36, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b))))), inference(fof_simplification,[status(thm)],[prove_mv_25])).
% 0.08/0.42 cnf(c_0_37, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_35, c_0_10])).
% 0.08/0.42 cnf(c_0_38, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b))))), c_0_36).
% 0.08/0.42 cnf(c_0_39, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_37, c_0_7])).
% 0.08/0.42 cnf(c_0_40, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])]), ['proof']).
% 0.08/0.42 % SZS output end Proof
% 0.08/0.42 % User time : 0.039 s
% 0.08/0.42 % System time : 0.004 s
% 0.08/0.42 % Total time : 0.043 s
% 0.08/0.42 % User time : 0.039 s
% 0.08/0.42 % System time : 0.007 s
% 0.08/0.42 % Total time : 0.046 s
% 0.08/0.42
%------------------------------------------------------------------------------