%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL250-10 : TPTP v9.3.1. Released v7.3.0.
% 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 11:20:38 AM UTC 2026
% Result : Unsatisfiable 202.19s 29.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL250-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n013.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Fri Sep 4 17:48:50 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.21/0.47 start to proof:theBenchmark.p
% 202.19/29.73 % Version : CSI_E---1.1
% 202.19/29.73 % Problem : theBenchmark.p
% 202.19/29.73 % Proof found!
% 202.19/29.73 # SZS status Unsatisfiable
% 202.19/29.73 % SZS output start Proof
% 202.19/29.73 cnf(rule_1, axiom, (ifeq(axiom(X1),true,theorem(X1),true)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rule_1)).
% 202.19/29.73 cnf(axiom_1_2, axiom, (axiom(implies(or(X1,X1),X1))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1_2)).
% 202.19/29.73 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifeq_axiom)).
% 202.19/29.73 cnf(axiom_1_6, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1_6)).
% 202.19/29.73 cnf(axiom_1_3, axiom, (axiom(implies(X1,or(X2,X1)))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1_3)).
% 202.19/29.73 cnf(rule_2, axiom, (ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rule_2)).
% 202.19/29.73 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', implies_definition)).
% 202.19/29.73 cnf(axiom_1_4, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1_4)).
% 202.19/29.73 cnf(axiom_1_5, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1_5)).
% 202.19/29.73 cnf(and_defn, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', and_defn)).
% 202.19/29.73 cnf(prove_this, negated_conjecture, (theorem(implies(implies(q,r),implies(and(p,q),r)))!=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 202.19/29.73 cnf(c_0_11, axiom, (ifeq(axiom(X1),true,theorem(X1),true)=true), rule_1).
% 202.19/29.73 cnf(c_0_12, axiom, (axiom(implies(or(X1,X1),X1))=true), axiom_1_2).
% 202.19/29.73 cnf(c_0_13, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 202.19/29.73 cnf(c_0_14, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))=true), axiom_1_6).
% 202.19/29.73 cnf(c_0_15, axiom, (axiom(implies(X1,or(X2,X1)))=true), axiom_1_3).
% 202.19/29.73 cnf(c_0_16, axiom, (ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true), rule_2).
% 202.19/29.73 cnf(c_0_17, plain, (theorem(implies(or(X1,X1),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])).
% 202.19/29.73 cnf(c_0_18, plain, (theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_14]), c_0_13])).
% 202.19/29.73 cnf(c_0_19, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 202.19/29.73 cnf(c_0_20, plain, (theorem(implies(X1,or(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_15]), c_0_13])).
% 202.19/29.73 cnf(c_0_21, plain, (ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_13])).
% 202.19/29.73 cnf(c_0_22, plain, (theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_19])).
% 202.19/29.73 cnf(c_0_23, plain, (ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_20]), c_0_13])).
% 202.19/29.73 cnf(c_0_24, plain, (theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_13])).
% 202.19/29.73 cnf(c_0_25, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))=true), axiom_1_4).
% 202.19/29.73 cnf(c_0_26, plain, (theorem(implies(X1,X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_13])).
% 202.19/29.73 cnf(c_0_27, plain, (theorem(implies(or(X1,X2),or(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_25]), c_0_13])).
% 202.19/29.73 cnf(c_0_28, plain, (ifeq(theorem(implies(implies(X1,X1),X2)),true,theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_26]), c_0_13])).
% 202.19/29.73 cnf(c_0_29, plain, (theorem(implies(implies(X1,X2),or(X2,not(X1))))=true), inference(spm,[status(thm)],[c_0_27, c_0_19])).
% 202.19/29.73 cnf(c_0_30, plain, (theorem(or(X1,not(X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_13])).
% 202.19/29.73 cnf(c_0_31, plain, (ifeq(theorem(implies(X1,X2)),true,theorem(implies(implies(X3,X1),implies(X3,X2))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_22]), c_0_13])).
% 202.19/29.73 cnf(c_0_32, plain, (theorem(implies(X1,not(not(X1))))=true), inference(spm,[status(thm)],[c_0_30, c_0_19])).
% 202.19/29.73 cnf(c_0_33, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))=true), axiom_1_5).
% 202.19/29.73 cnf(c_0_34, plain, (theorem(implies(implies(X1,X2),implies(X1,not(not(X2)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_13])).
% 202.19/29.73 cnf(c_0_35, plain, (theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_33]), c_0_13])).
% 202.19/29.73 cnf(c_0_36, plain, (ifeq(theorem(implies(X1,X2)),true,theorem(implies(or(X3,X1),or(X3,X2))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_18]), c_0_13])).
% 202.19/29.73 cnf(c_0_37, plain, (theorem(implies(X1,not(not(or(X2,X1)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_34]), c_0_13])).
% 202.19/29.73 cnf(c_0_38, plain, (theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_19]), c_0_19])).
% 202.19/29.73 cnf(c_0_39, plain, (ifeq(theorem(implies(or(X1,not(X1)),X2)),true,theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_30]), c_0_13])).
% 202.19/29.73 cnf(c_0_40, plain, (theorem(implies(or(X1,X2),or(X1,not(not(or(X3,X2))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_13])).
% 202.19/29.73 cnf(c_0_41, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), and_defn).
% 202.19/29.73 cnf(c_0_42, plain, (theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_19]), c_0_19])).
% 202.19/29.73 cnf(c_0_43, plain, (theorem(or(X1,not(not(or(X2,not(X1))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_13])).
% 202.19/29.73 cnf(c_0_44, plain, (not(implies(X1,not(X2)))=and(X1,X2)), inference(rw,[status(thm)],[c_0_41, c_0_19])).
% 202.19/29.73 cnf(c_0_45, plain, (theorem(implies(X1,implies(implies(X1,X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_42]), c_0_13])).
% 202.19/29.73 cnf(c_0_46, plain, (ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_27]), c_0_13])).
% 202.19/29.73 cnf(c_0_47, plain, (theorem(or(X1,not(and(X2,X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_19]), c_0_44])).
% 202.19/29.73 cnf(c_0_48, plain, (ifeq(theorem(X1),true,theorem(implies(implies(X1,X2),X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_45]), c_0_13])).
% 202.19/29.73 cnf(c_0_49, plain, (theorem(implies(and(X1,X2),X2))=true), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_19]), c_0_13])).
% 202.19/29.73 cnf(c_0_50, plain, (theorem(implies(implies(implies(and(X1,X2),X2),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_13])).
% 202.19/29.73 cnf(c_0_51, negated_conjecture, (theorem(implies(implies(q,r),implies(and(p,q),r)))!=true), inference(fof_simplification,[status(thm)],[prove_this])).
% 202.19/29.73 cnf(c_0_52, plain, (ifeq(theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))),X4)),true,theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_22]), c_0_13])).
% 202.19/29.73 cnf(c_0_53, plain, (theorem(implies(implies(X1,implies(implies(and(X2,X3),X3),X4)),implies(X1,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_50]), c_0_13])).
% 202.19/29.73 cnf(c_0_54, negated_conjecture, (theorem(implies(implies(q,r),implies(and(p,q),r)))!=true), c_0_51).
% 202.19/29.73 cnf(c_0_55, plain, (theorem(implies(implies(X1,X2),implies(and(X3,X1),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_13])).
% 202.19/29.73 cnf(c_0_56, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])]), ['proof']).
% 202.19/29.73 % SZS output end Proof
% 202.19/29.73 % User time : 28.024 s
% 202.19/29.73 % System time : 0.864 s
% 202.19/29.73 % Total time : 28.887 s
% 202.19/29.73 % User time : 28.025 s
% 202.19/29.73 % System time : 0.868 s
% 202.19/29.73 % Total time : 28.894 s
% 202.19/29.73
%------------------------------------------------------------------------------