%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL106-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n028.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 11:20:20 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL106-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n028.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 13:31:44 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.47 start to proof:theBenchmark.p
% 0.26/0.53 % Version : CSI_E---1.1
% 0.26/0.53 % Problem : theBenchmark.p
% 0.26/0.53 % Proof found!
% 0.26/0.53 # SZS status Unsatisfiable
% 0.26/0.53 % SZS output start Proof
% 0.26/0.53 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 0.26/0.53 cnf(q_1, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', q_1)).
% 0.26/0.53 cnf(q_4, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', q_4)).
% 0.26/0.53 cnf(prove_q_2, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_q_2)).
% 0.26/0.53 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.26/0.53 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_4).
% 0.26/0.53 cnf(c_0_6, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))), q_1).
% 0.26/0.53 cnf(c_0_7, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))), q_4).
% 0.26/0.53 cnf(c_0_8, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_5, c_0_6])).
% 0.26/0.53 cnf(c_0_9, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_5, c_0_7])).
% 0.26/0.53 cnf(c_0_10, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X2,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_5, c_0_8])).
% 0.26/0.53 cnf(c_0_11, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.26/0.53 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4))|~is_a_theorem(equivalent(equivalent(X2,X3),X4))), inference(spm,[status(thm)],[c_0_11, c_0_7])).
% 0.26/0.53 cnf(c_0_13, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b))))), inference(fof_simplification,[status(thm)],[prove_q_2])).
% 0.26/0.53 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3)))), inference(spm,[status(thm)],[c_0_9, c_0_12])).
% 0.26/0.53 cnf(c_0_15, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b))))), c_0_13).
% 0.26/0.53 cnf(c_0_16, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))))), inference(spm,[status(thm)],[c_0_14, c_0_6])).
% 0.26/0.53 cnf(c_0_17, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])]), ['proof']).
% 0.26/0.53 % SZS output end Proof
% 0.26/0.53 % User time : 0.003 s
% 0.26/0.53 % System time : 0.002 s
% 0.26/0.53 % Total time : 0.005 s
% 0.26/0.53 % User time : 0.004 s
% 0.26/0.53 % System time : 0.005 s
% 0.26/0.53 % Total time : 0.009 s
% 0.26/0.53
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