%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL173-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n017.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 11:20:26 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL173-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n017.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 03:29:06 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 0.24/0.54 % Version : CSI_E---1.1
% 0.24/0.54 % Problem : theBenchmark.p
% 0.24/0.54 % Proof found!
% 0.24/0.54 # SZS status Unsatisfiable
% 0.24/0.54 % SZS output start Proof
% 0.24/0.54 cnf(prove_this, negated_conjecture, (~theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 0.24/0.54 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', implies_definition)).
% 0.24/0.54 cnf(rule_1, axiom, (theorem(X1)|~axiom(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', rule_1)).
% 0.24/0.54 cnf(axiom_1_6, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_6)).
% 0.24/0.54 cnf(c_0_4, negated_conjecture, (~theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r))))), inference(fof_simplification,[status(thm)],[prove_this])).
% 0.24/0.54 cnf(c_0_5, negated_conjecture, (~theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r))))), c_0_4).
% 0.24/0.54 cnf(c_0_6, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 0.24/0.54 cnf(c_0_7, plain, (theorem(X1)|~axiom(X1)), inference(fof_simplification,[status(thm)],[rule_1])).
% 0.24/0.54 cnf(c_0_8, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), axiom_1_6).
% 0.24/0.54 cnf(c_0_9, negated_conjecture, (~theorem(or(not(or(not(q),r)),or(not(or(not(p),q)),or(not(p),r))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5, c_0_6]), c_0_6]), c_0_6]), c_0_6]), c_0_6])).
% 0.24/0.54 cnf(c_0_10, plain, (theorem(X1)|~axiom(X1)), c_0_7).
% 0.24/0.54 cnf(c_0_11, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_6]), c_0_6]), c_0_6])).
% 0.24/0.54 cnf(c_0_12, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])]), ['proof']).
% 0.24/0.54 % SZS output end Proof
% 0.24/0.54 % User time : 0.001 s
% 0.24/0.54 % System time : 0.005 s
% 0.24/0.54 % Total time : 0.006 s
% 0.24/0.54 % User time : 0.021 s
% 0.24/0.54 % System time : 0.015 s
% 0.24/0.54 % Total time : 0.036 s
% 0.24/0.54
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