%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL186-3 : TPTP v9.3.1. Released v2.3.0.
% 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 11:20:28 AM UTC 2026
% Result : Unsatisfiable 1.14s 0.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL186-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 4 19:10:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.46 start to proof:theBenchmark.p
% 1.14/0.78 % Version : CSI_E---1.1
% 1.14/0.78 % Problem : theBenchmark.p
% 1.14/0.78 % Proof found!
% 1.14/0.78 # SZS status Unsatisfiable
% 1.14/0.78 % SZS output start Proof
% 1.14/0.78 cnf(rule_1, axiom, (theorem(X1)|~axiom(X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', rule_1)).
% 1.14/0.78 cnf(rule_2, axiom, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', rule_2)).
% 1.14/0.78 cnf(axiom_1_6, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_6)).
% 1.14/0.78 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', implies_definition)).
% 1.14/0.78 cnf(axiom_1_3, axiom, (axiom(implies(X1,or(X2,X1)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_3)).
% 1.14/0.78 cnf(axiom_1_4, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_4)).
% 1.14/0.78 cnf(prove_this, negated_conjecture, (~theorem(implies(not(p),implies(p,q)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_this)).
% 1.14/0.78 cnf(c_0_7, plain, (theorem(X1)|~axiom(X1)), inference(fof_simplification,[status(thm)],[rule_1])).
% 1.14/0.78 cnf(c_0_8, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), inference(fof_simplification,[status(thm)],[rule_2])).
% 1.14/0.78 cnf(c_0_9, plain, (theorem(X1)|~axiom(X1)), c_0_7).
% 1.14/0.78 cnf(c_0_10, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), axiom_1_6).
% 1.14/0.78 cnf(c_0_11, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), c_0_8).
% 1.14/0.78 cnf(c_0_12, plain, (theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 1.14/0.78 cnf(c_0_13, plain, (theorem(implies(or(X1,X2),or(X1,X3)))|~theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 1.14/0.78 cnf(c_0_14, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_11, c_0_13])).
% 1.14/0.78 cnf(c_0_15, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 1.14/0.78 cnf(c_0_16, axiom, (axiom(implies(X1,or(X2,X1)))), axiom_1_3).
% 1.14/0.78 cnf(c_0_17, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), axiom_1_4).
% 1.14/0.78 cnf(c_0_18, plain, (theorem(implies(X1,X2))|~theorem(implies(X1,X3))|~theorem(implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_15])).
% 1.14/0.78 cnf(c_0_19, plain, (theorem(implies(X1,or(X2,X1)))), inference(spm,[status(thm)],[c_0_9, c_0_16])).
% 1.14/0.78 cnf(c_0_20, plain, (theorem(implies(or(X1,X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_9, c_0_17])).
% 1.14/0.78 cnf(c_0_21, negated_conjecture, (~theorem(implies(not(p),implies(p,q)))), inference(fof_simplification,[status(thm)],[prove_this])).
% 1.14/0.78 cnf(c_0_22, plain, (theorem(implies(X1,X2))|~theorem(implies(or(X3,X1),X2))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 1.14/0.78 cnf(c_0_23, plain, (theorem(implies(or(X1,not(X2)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_20, c_0_15])).
% 1.14/0.78 cnf(c_0_24, negated_conjecture, (~theorem(implies(not(p),implies(p,q)))), c_0_21).
% 1.14/0.78 cnf(c_0_25, plain, (theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 1.14/0.78 cnf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])]), ['proof']).
% 1.14/0.78 % SZS output end Proof
% 1.14/0.78 % User time : 0.004 s
% 1.14/0.78 % System time : 0.003 s
% 1.14/0.78 % Total time : 0.007 s
% 1.14/0.78 % User time : 0.005 s
% 1.14/0.78 % System time : 0.007 s
% 1.14/0.78 % Total time : 0.012 s
% 1.14/0.78
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