%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n020.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 11:20:17 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n020.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 : Sun Sep 6 01:05:57 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.46 start to proof:theBenchmark.p
% 0.23/0.51 % Version : CSI_E---1.1
% 0.23/0.51 % Problem : theBenchmark.p
% 0.23/0.51 % Proof found!
% 0.23/0.51 # SZS status Unsatisfiable
% 0.23/0.51 % SZS output start Proof
% 0.23/0.51 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 0.23/0.51 cnf(cn_35, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_35)).
% 0.23/0.51 cnf(cn_18, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_18)).
% 0.23/0.51 cnf(prove_transitivity, negated_conjecture, (~is_a_theorem(implies(a,c))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_transitivity)).
% 0.23/0.51 cnf(a_implies_b, hypothesis, (is_a_theorem(implies(a,b))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a_implies_b)).
% 0.23/0.51 cnf(b_implies_c, hypothesis, (is_a_theorem(implies(b,c))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', b_implies_c)).
% 0.23/0.51 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.23/0.51 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_6).
% 0.23/0.51 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), cn_35).
% 0.23/0.51 cnf(c_0_9, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X1,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.23/0.51 cnf(c_0_10, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), cn_18).
% 0.23/0.51 cnf(c_0_11, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_7, c_0_9])).
% 0.23/0.51 cnf(c_0_12, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_7, c_0_10])).
% 0.23/0.51 cnf(c_0_13, negated_conjecture, (~is_a_theorem(implies(a,c))), inference(fof_simplification,[status(thm)],[prove_transitivity])).
% 0.23/0.51 cnf(c_0_14, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.23/0.51 cnf(c_0_15, hypothesis, (is_a_theorem(implies(a,b))), a_implies_b).
% 0.23/0.51 cnf(c_0_16, negated_conjecture, (~is_a_theorem(implies(a,c))), c_0_13).
% 0.23/0.51 cnf(c_0_17, hypothesis, (is_a_theorem(implies(a,X1))|~is_a_theorem(implies(b,X1))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.23/0.51 cnf(c_0_18, hypothesis, (is_a_theorem(implies(b,c))), b_implies_c).
% 0.23/0.51 cnf(c_0_19, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']).
% 0.23/0.51 % SZS output end Proof
% 0.23/0.51 % User time : 0.003 s
% 0.23/0.51 % System time : 0.003 s
% 0.23/0.51 % Total time : 0.006 s
% 0.23/0.51 % User time : 0.004 s
% 0.23/0.51 % System time : 0.006 s
% 0.23/0.51 % Total time : 0.011 s
% 0.23/0.51
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