%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL320-3 : 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 11:20:45 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL320-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.33 % Computer : n017.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 6 00:49:07 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 0.24/0.57 % Version : CSI_E---1.1
% 0.24/0.57 % Problem : theBenchmark.p
% 0.24/0.57 % Proof found!
% 0.24/0.57 # SZS status Unsatisfiable
% 0.24/0.57 % SZS output start Proof
% 0.24/0.57 cnf(rule_1, axiom, (theorem(X1)|~axiom(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', rule_1)).
% 0.24/0.57 cnf(rule_2, axiom, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', rule_2)).
% 0.24/0.57 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)).
% 0.24/0.57 cnf(axiom_1_4, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_4)).
% 0.24/0.57 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', implies_definition)).
% 0.24/0.57 cnf(axiom_1_3, axiom, (axiom(implies(X1,or(X2,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_3)).
% 0.24/0.57 cnf(prove_this, negated_conjecture, (~theorem(or(implies(p,q),implies(not(p),q)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 0.24/0.57 cnf(c_0_7, plain, (theorem(X1)|~axiom(X1)), inference(fof_simplification,[status(thm)],[rule_1])).
% 0.24/0.57 cnf(c_0_8, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), inference(fof_simplification,[status(thm)],[rule_2])).
% 0.24/0.57 cnf(c_0_9, plain, (theorem(X1)|~axiom(X1)), c_0_7).
% 0.24/0.57 cnf(c_0_10, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), axiom_1_6).
% 0.24/0.57 cnf(c_0_11, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), c_0_8).
% 0.24/0.57 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])).
% 0.24/0.57 cnf(c_0_13, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), axiom_1_4).
% 0.24/0.57 cnf(c_0_14, plain, (theorem(implies(or(X1,X2),or(X1,X3)))|~theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.24/0.57 cnf(c_0_15, plain, (theorem(implies(or(X1,X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_9, c_0_13])).
% 0.24/0.57 cnf(c_0_16, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_11, c_0_14])).
% 0.24/0.57 cnf(c_0_17, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 0.24/0.57 cnf(c_0_18, axiom, (axiom(implies(X1,or(X2,X1)))), axiom_1_3).
% 0.24/0.57 cnf(c_0_19, plain, (theorem(or(X1,X2))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_11, c_0_15])).
% 0.24/0.57 cnf(c_0_20, plain, (theorem(implies(X1,X2))|~theorem(implies(X1,X3))|~theorem(implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_17])).
% 0.24/0.57 cnf(c_0_21, plain, (theorem(implies(X1,or(X2,X1)))), inference(spm,[status(thm)],[c_0_9, c_0_18])).
% 0.24/0.57 cnf(c_0_22, plain, (theorem(or(X1,not(X2)))|~theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_19, c_0_17])).
% 0.24/0.57 cnf(c_0_23, plain, (theorem(implies(X1,X2))|~theorem(implies(or(X3,X1),X2))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 0.24/0.57 cnf(c_0_24, negated_conjecture, (~theorem(or(implies(p,q),implies(not(p),q)))), inference(fof_simplification,[status(thm)],[prove_this])).
% 0.24/0.57 cnf(c_0_25, plain, (theorem(or(X1,X2))|~theorem(implies(not(X3),X2))|~theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_16, c_0_22])).
% 0.24/0.57 cnf(c_0_26, plain, (theorem(implies(X1,or(X1,X2)))), inference(spm,[status(thm)],[c_0_23, c_0_15])).
% 0.24/0.57 cnf(c_0_27, plain, (theorem(implies(or(X1,not(X2)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_15, c_0_17])).
% 0.24/0.57 cnf(c_0_28, negated_conjecture, (~theorem(or(implies(p,q),implies(not(p),q)))), c_0_24).
% 0.24/0.57 cnf(c_0_29, plain, (theorem(or(X1,implies(X2,X3)))|~theorem(implies(X2,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_17])).
% 0.24/0.57 cnf(c_0_30, plain, (theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_23, c_0_27])).
% 0.24/0.57 cnf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])]), ['proof']).
% 0.24/0.57 % SZS output end Proof
% 0.24/0.57 % User time : 0.086 s
% 0.24/0.57 % System time : 0.005 s
% 0.24/0.57 % Total time : 0.091 s
% 0.24/0.57 % User time : 0.088 s
% 0.24/0.57 % System time : 0.008 s
% 0.24/0.57 % Total time : 0.096 s
% 0.24/0.57
%------------------------------------------------------------------------------