%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL203-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n016.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 11:20:31 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL203-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.32 % Computer : n016.cluster.edu
% 0.06/0.32 % Model : x86_64 x86_64
% 0.06/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.32 % Memory : 8046.5625MB
% 0.06/0.32 % OS : Linux 6.8.0-71-generic
% 0.06/0.32 % CPULimit : 300
% 0.06/0.32 % WCLimit : 300
% 0.06/0.32 % DateTime : Sat Sep 5 13:18:14 UTC 2026
% 0.06/0.32 % CPUTime :
% 0.11/0.44 start to proof:theBenchmark.p
% 0.24/0.52 % Version : CSI_E---1.1
% 0.24/0.52 % Problem : theBenchmark.p
% 0.24/0.52 % Proof found!
% 0.24/0.52 # SZS status Unsatisfiable
% 0.24/0.52 % SZS output start Proof
% 0.24/0.52 cnf(rule_1, axiom, (theorem(X1)|~axiom(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', rule_1)).
% 0.24/0.52 cnf(rule_2, axiom, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', rule_2)).
% 0.24/0.52 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)).
% 0.24/0.52 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)).
% 0.24/0.52 cnf(axiom_1_3, axiom, (axiom(implies(X1,or(X2,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_3)).
% 0.24/0.52 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', implies_definition)).
% 0.24/0.52 cnf(axiom_1_2, axiom, (axiom(implies(or(X1,X1),X1))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_2)).
% 0.24/0.52 cnf(prove_this, negated_conjecture, (~theorem(implies(not(or(p,q)),or(not(p),not(q))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 0.24/0.52 cnf(c_0_8, plain, (theorem(X1)|~axiom(X1)), inference(fof_simplification,[status(thm)],[rule_1])).
% 0.24/0.52 cnf(c_0_9, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), inference(fof_simplification,[status(thm)],[rule_2])).
% 0.24/0.52 cnf(c_0_10, plain, (theorem(X1)|~axiom(X1)), c_0_8).
% 0.24/0.52 cnf(c_0_11, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), axiom_1_6).
% 0.24/0.52 cnf(c_0_12, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), c_0_9).
% 0.24/0.52 cnf(c_0_13, plain, (theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.24/0.52 cnf(c_0_14, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), axiom_1_4).
% 0.24/0.52 cnf(c_0_15, plain, (theorem(implies(or(X1,X2),or(X1,X3)))|~theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.24/0.52 cnf(c_0_16, axiom, (axiom(implies(X1,or(X2,X1)))), axiom_1_3).
% 0.24/0.52 cnf(c_0_17, plain, (theorem(implies(or(X1,X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_10, c_0_14])).
% 0.24/0.52 cnf(c_0_18, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_12, c_0_15])).
% 0.24/0.52 cnf(c_0_19, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 0.24/0.52 cnf(c_0_20, plain, (theorem(implies(X1,or(X2,X1)))), inference(spm,[status(thm)],[c_0_10, c_0_16])).
% 0.24/0.52 cnf(c_0_21, axiom, (axiom(implies(or(X1,X1),X1))), axiom_1_2).
% 0.24/0.52 cnf(c_0_22, plain, (theorem(or(X1,X2))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_12, c_0_17])).
% 0.24/0.52 cnf(c_0_23, plain, (theorem(implies(X1,X2))|~theorem(implies(X1,X3))|~theorem(implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_19])).
% 0.24/0.52 cnf(c_0_24, plain, (theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_20, c_0_19])).
% 0.24/0.52 cnf(c_0_25, plain, (theorem(implies(or(X1,X1),X1))), inference(spm,[status(thm)],[c_0_10, c_0_21])).
% 0.24/0.52 cnf(c_0_26, plain, (theorem(or(X1,not(X2)))|~theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_22, c_0_19])).
% 0.24/0.52 cnf(c_0_27, plain, (theorem(implies(X1,X2))|~theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 0.24/0.52 cnf(c_0_28, plain, (theorem(implies(implies(X1,not(X1)),not(X1)))), inference(spm,[status(thm)],[c_0_25, c_0_19])).
% 0.24/0.52 cnf(c_0_29, plain, (theorem(implies(X1,not(X2)))|~theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_26, c_0_19])).
% 0.24/0.52 cnf(c_0_30, plain, (theorem(implies(not(X1),not(X1)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.24/0.52 cnf(c_0_31, negated_conjecture, (~theorem(implies(not(or(p,q)),or(not(p),not(q))))), inference(fof_simplification,[status(thm)],[prove_this])).
% 0.24/0.52 cnf(c_0_32, plain, (theorem(implies(X1,X2))|~theorem(implies(or(X3,X1),X2))), inference(spm,[status(thm)],[c_0_23, c_0_20])).
% 0.24/0.52 cnf(c_0_33, plain, (theorem(implies(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 0.24/0.52 cnf(c_0_34, negated_conjecture, (~theorem(implies(not(or(p,q)),or(not(p),not(q))))), c_0_31).
% 0.24/0.52 cnf(c_0_35, plain, (theorem(implies(implies(X1,X2),implies(X1,X3)))|~theorem(implies(X2,X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_19]), c_0_19])).
% 0.24/0.52 cnf(c_0_36, plain, (theorem(implies(X1,not(not(or(X2,X1)))))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 0.24/0.52 cnf(c_0_37, negated_conjecture, (~theorem(implies(not(or(p,q)),implies(p,not(q))))), inference(rw,[status(thm)],[c_0_34, c_0_19])).
% 0.24/0.52 cnf(c_0_38, plain, (theorem(implies(X1,implies(X2,X3)))|~theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_27, c_0_35])).
% 0.24/0.52 cnf(c_0_39, plain, (theorem(implies(not(or(X1,X2)),not(X2)))), inference(spm,[status(thm)],[c_0_29, c_0_36])).
% 0.24/0.52 cnf(c_0_40, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])]), ['proof']).
% 0.24/0.52 % SZS output end Proof
% 0.24/0.52 % User time : 0.045 s
% 0.24/0.52 % System time : 0.004 s
% 0.24/0.52 % Total time : 0.049 s
% 0.24/0.52 % User time : 0.046 s
% 0.24/0.52 % System time : 0.006 s
% 0.24/0.52 % Total time : 0.053 s
% 0.24/0.52
%------------------------------------------------------------------------------