%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL227-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n001.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 11:20:35 AM UTC 2026
% Result : Unsatisfiable 14.32s 2.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL227-3 : 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 : n001.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 : Sat Sep 5 21:09:02 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.46 start to proof:theBenchmark.p
% 14.32/2.56 % Version : CSI_E---1.1
% 14.32/2.56 % Problem : theBenchmark.p
% 14.32/2.56 % Proof found!
% 14.32/2.56 # SZS status Unsatisfiable
% 14.32/2.56 % SZS output start Proof
% 14.32/2.56 cnf(rule_2, axiom, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', rule_2)).
% 14.32/2.56 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', implies_definition)).
% 14.32/2.56 cnf(rule_1, axiom, (theorem(X1)|~axiom(X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', rule_1)).
% 14.32/2.56 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)).
% 14.32/2.56 cnf(axiom_1_5, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_5)).
% 14.32/2.56 cnf(axiom_1_3, axiom, (axiom(implies(X1,or(X2,X1)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_3)).
% 14.32/2.56 cnf(axiom_1_2, axiom, (axiom(implies(or(X1,X1),X1))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_2)).
% 14.32/2.56 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)).
% 14.32/2.56 cnf(prove_this, negated_conjecture, (~theorem(implies(implies(q,implies(r,s)),implies(or(p,q),implies(or(p,r),or(p,s)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_this)).
% 14.32/2.56 cnf(c_0_9, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), inference(fof_simplification,[status(thm)],[rule_2])).
% 14.32/2.56 cnf(c_0_10, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), c_0_9).
% 14.32/2.56 cnf(c_0_11, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 14.32/2.56 cnf(c_0_12, plain, (theorem(X1)|~axiom(X1)), inference(fof_simplification,[status(thm)],[rule_1])).
% 14.32/2.56 cnf(c_0_13, plain, (theorem(X1)|~theorem(X2)|~theorem(or(not(X2),X1))), inference(rw,[status(thm)],[c_0_10, c_0_11])).
% 14.32/2.56 cnf(c_0_14, plain, (theorem(X1)|~axiom(X1)), c_0_12).
% 14.32/2.56 cnf(c_0_15, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), axiom_1_6).
% 14.32/2.56 cnf(c_0_16, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))), axiom_1_5).
% 14.32/2.56 cnf(c_0_17, plain, (theorem(X1)|~theorem(X2)|~axiom(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 14.32/2.56 cnf(c_0_18, 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_15, c_0_11]), c_0_11]), c_0_11])).
% 14.32/2.56 cnf(c_0_19, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))), inference(rw,[status(thm)],[c_0_16, c_0_11])).
% 14.32/2.56 cnf(c_0_20, axiom, (axiom(implies(X1,or(X2,X1)))), axiom_1_3).
% 14.32/2.56 cnf(c_0_21, axiom, (axiom(implies(or(X1,X1),X1))), axiom_1_2).
% 14.32/2.56 cnf(c_0_22, plain, (theorem(or(not(or(X1,X2)),or(X1,X3)))|~theorem(or(not(X2),X3))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 14.32/2.56 cnf(c_0_23, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_17, c_0_19])).
% 14.32/2.56 cnf(c_0_24, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), axiom_1_4).
% 14.32/2.56 cnf(c_0_25, plain, (axiom(or(not(X1),or(X2,X1)))), inference(rw,[status(thm)],[c_0_20, c_0_11])).
% 14.32/2.56 cnf(c_0_26, plain, (axiom(or(not(or(X1,X1)),X1))), inference(rw,[status(thm)],[c_0_21, c_0_11])).
% 14.32/2.56 cnf(c_0_27, plain, (theorem(or(X1,X2))|~theorem(or(not(X3),X2))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_13, c_0_22])).
% 14.32/2.56 cnf(c_0_28, plain, (theorem(or(X1,or(not(or(X1,X2)),X3)))|~theorem(or(not(X2),X3))), inference(spm,[status(thm)],[c_0_23, c_0_22])).
% 14.32/2.56 cnf(c_0_29, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))), inference(rw,[status(thm)],[c_0_24, c_0_11])).
% 14.32/2.56 cnf(c_0_30, plain, (theorem(or(X1,X2))|~theorem(X2)), inference(spm,[status(thm)],[c_0_17, c_0_25])).
% 14.32/2.56 cnf(c_0_31, negated_conjecture, (~theorem(implies(implies(q,implies(r,s)),implies(or(p,q),implies(or(p,r),or(p,s)))))), inference(fof_simplification,[status(thm)],[prove_this])).
% 14.32/2.56 cnf(c_0_32, plain, (theorem(X1)|~theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_17, c_0_26])).
% 14.32/2.56 cnf(c_0_33, plain, (theorem(or(X1,or(not(or(not(X2),X3)),X4)))|~theorem(or(not(X3),X4))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 14.32/2.56 cnf(c_0_34, plain, (theorem(or(X1,X2))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_17, c_0_29])).
% 14.32/2.56 cnf(c_0_35, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_23, c_0_30])).
% 14.32/2.56 cnf(c_0_36, negated_conjecture, (~theorem(implies(implies(q,implies(r,s)),implies(or(p,q),implies(or(p,r),or(p,s)))))), c_0_31).
% 14.32/2.56 cnf(c_0_37, plain, (theorem(or(not(or(not(X1),X2)),X3))|~theorem(or(or(not(or(not(X1),X2)),X3),X1))|~theorem(or(not(X2),X3))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 14.32/2.56 cnf(c_0_38, plain, (theorem(or(or(X1,X2),X3))|~theorem(or(X3,X2))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 14.32/2.56 cnf(c_0_39, negated_conjecture, (~theorem(or(not(or(not(q),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_11]), c_0_11]), c_0_11]), c_0_11]), c_0_11])).
% 14.32/2.56 cnf(c_0_40, plain, (theorem(or(not(or(not(X1),X2)),X3))|~theorem(or(not(X2),X3))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 14.32/2.56 cnf(c_0_41, negated_conjecture, (~theorem(or(not(or(not(r),s)),or(not(or(p,q)),or(not(or(p,r)),or(p,s)))))|~theorem(or(q,or(not(or(p,q)),or(not(or(p,r)),or(p,s)))))), inference(spm,[status(thm)],[c_0_39, c_0_40])).
% 14.32/2.56 cnf(c_0_42, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~axiom(or(not(X3),X2))), inference(spm,[status(thm)],[c_0_27, c_0_14])).
% 14.32/2.56 cnf(c_0_43, negated_conjecture, (~theorem(or(q,or(not(or(p,q)),or(not(or(p,r)),or(p,s)))))|~theorem(or(not(or(not(r),s)),or(not(or(p,r)),or(p,s))))), inference(spm,[status(thm)],[c_0_41, c_0_35])).
% 14.32/2.56 cnf(c_0_44, plain, (theorem(or(X1,or(X2,or(X3,X4))))|~theorem(or(X1,or(X3,or(X2,X4))))), inference(spm,[status(thm)],[c_0_42, c_0_19])).
% 14.32/2.56 cnf(c_0_45, plain, (theorem(or(X1,or(X2,X3)))|~axiom(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_23, c_0_14])).
% 14.32/2.56 cnf(c_0_46, negated_conjecture, (~theorem(or(q,or(not(or(p,q)),or(not(or(p,r)),or(p,s)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_14]), c_0_18])])).
% 14.32/2.56 cnf(c_0_47, plain, (theorem(or(X1,or(X2,or(X3,X4))))|~theorem(or(X1,or(X2,X4)))), inference(spm,[status(thm)],[c_0_44, c_0_35])).
% 14.32/2.56 cnf(c_0_48, plain, (theorem(or(X1,X2))|~axiom(or(X1,or(or(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_32, c_0_45])).
% 14.32/2.56 cnf(c_0_49, negated_conjecture, (~theorem(or(q,or(not(or(p,q)),or(p,s))))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 14.32/2.56 cnf(c_0_50, plain, (theorem(or(X1,or(not(or(X2,X3)),or(X2,X4))))|~theorem(or(X1,or(not(X3),X4)))), inference(spm,[status(thm)],[c_0_42, c_0_18])).
% 14.32/2.56 cnf(c_0_51, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,or(X3,X2)))), inference(spm,[status(thm)],[c_0_42, c_0_29])).
% 14.32/2.56 cnf(c_0_52, plain, (theorem(or(not(X1),X1))), inference(spm,[status(thm)],[c_0_48, c_0_25])).
% 14.32/2.56 cnf(c_0_53, negated_conjecture, (~theorem(or(q,or(not(q),s)))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 14.32/2.56 cnf(c_0_54, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_51, c_0_35])).
% 14.32/2.56 cnf(c_0_55, plain, (theorem(or(X1,not(X1)))), inference(spm,[status(thm)],[c_0_34, c_0_52])).
% 14.32/2.56 cnf(c_0_56, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])]), ['proof']).
% 14.32/2.56 % SZS output end Proof
% 14.32/2.56 % User time : 1.731 s
% 14.32/2.56 % System time : 0.066 s
% 14.32/2.56 % Total time : 1.798 s
% 14.32/2.56 % User time : 9.631 s
% 14.32/2.56 % System time : 0.196 s
% 14.32/2.56 % Total time : 9.826 s
% 14.32/2.56
%------------------------------------------------------------------------------