%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL007-1 : 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 11:20:11 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.34 % Computer : n013.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 4 17:50:19 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 0.25/0.52 % Version : CSI_E---1.1
% 0.25/0.52 % Problem : theBenchmark.p
% 0.25/0.52 % Proof found!
% 0.25/0.52 # SZS status Unsatisfiable
% 0.25/0.52 % SZS output start Proof
% 0.25/0.52 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)).
% 0.25/0.52 cnf(ec_4, axiom, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ec_4)).
% 0.25/0.52 cnf(prove_ec_2, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_ec_2)).
% 0.25/0.52 cnf(ec_5, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X1,equivalent(X2,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ec_5)).
% 0.25/0.52 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])).
% 0.25/0.52 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_4).
% 0.25/0.52 cnf(c_0_6, axiom, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,X1)))), ec_4).
% 0.25/0.52 cnf(c_0_7, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))), inference(fof_simplification,[status(thm)],[prove_ec_2])).
% 0.25/0.52 cnf(c_0_8, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_5, c_0_6])).
% 0.25/0.52 cnf(c_0_9, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X1,equivalent(X2,X3))))), ec_5).
% 0.25/0.52 cnf(c_0_10, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))), c_0_7).
% 0.25/0.52 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,X2),X3)))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 0.25/0.52 cnf(c_0_12, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])]), ['proof']).
% 0.25/0.52 % SZS output end Proof
% 0.25/0.52 % User time : 0.002 s
% 0.25/0.52 % System time : 0.001 s
% 0.25/0.52 % Total time : 0.004 s
% 0.25/0.52 % User time : 0.003 s
% 0.25/0.52 % System time : 0.005 s
% 0.25/0.52 % Total time : 0.008 s
% 0.25/0.52
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