%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL113-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n014.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 11:20:21 AM UTC 2026
% Result : Unsatisfiable 183.85s 27.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL113-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n014.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 16:22:27 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 183.85/27.72 % Version : CSI_E---1.1
% 183.85/27.72 % Problem : theBenchmark.p
% 183.85/27.72 % Proof found!
% 183.85/27.72 # SZS status Unsatisfiable
% 183.85/27.72 % SZS output start Proof
% 183.85/27.72 cnf(condensed_detachment, axiom, (ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 183.85/27.72 cnf(mv_1, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mv_1)).
% 183.85/27.72 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifeq_axiom)).
% 183.85/27.72 cnf(mv_2, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mv_2)).
% 183.85/27.72 cnf(mv_5, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mv_5)).
% 183.85/27.72 cnf(mv_3, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mv_3)).
% 183.85/27.73 cnf(prove_mv_33, negated_conjecture, (is_a_theorem(implies(implies(not(a),b),implies(not(b),a)))!=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_mv_33)).
% 183.85/27.73 cnf(c_0_7, axiom, (ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), condensed_detachment).
% 183.85/27.73 cnf(c_0_8, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))=true), mv_1).
% 183.85/27.73 cnf(c_0_9, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 183.85/27.73 cnf(c_0_10, plain, (ifeq(is_a_theorem(implies(implies(X1,implies(X2,X1)),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9])).
% 183.85/27.73 cnf(c_0_11, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))=true), mv_2).
% 183.85/27.73 cnf(c_0_12, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_9])).
% 183.85/27.73 cnf(c_0_13, plain, (ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_12]), c_0_9])).
% 183.85/27.73 cnf(c_0_14, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))=true), mv_5).
% 183.85/27.73 cnf(c_0_15, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))=true), mv_3).
% 183.85/27.73 cnf(c_0_16, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_9])).
% 183.85/27.73 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_15]), c_0_9])).
% 183.85/27.73 cnf(c_0_18, plain, (ifeq(is_a_theorem(implies(implies(not(X1),implies(X1,X2)),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_16]), c_0_9])).
% 183.85/27.73 cnf(c_0_19, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_17]), c_0_9])).
% 183.85/27.73 cnf(c_0_20, plain, (ifeq(is_a_theorem(implies(implies(implies(not(X1),not(X2)),implies(X2,X1)),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_14]), c_0_9])).
% 183.85/27.73 cnf(c_0_21, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_11]), c_0_9])).
% 183.85/27.73 cnf(c_0_22, plain, (ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(X1,X2),X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_17]), c_0_9])).
% 183.85/27.73 cnf(c_0_23, plain, (is_a_theorem(implies(X1,X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_19]), c_0_9])).
% 183.85/27.73 cnf(c_0_24, plain, (is_a_theorem(implies(not(not(X1)),implies(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_9])).
% 183.85/27.73 cnf(c_0_25, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_9])).
% 183.85/27.73 cnf(c_0_26, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_11]), c_0_9])).
% 183.85/27.73 cnf(c_0_27, plain, (is_a_theorem(implies(implies(implies(not(not(X1)),implies(X2,X1)),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_24]), c_0_9])).
% 183.85/27.73 cnf(c_0_28, plain, (ifeq(is_a_theorem(implies(implies(implies(implies(X1,X1),X2),X2),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_25]), c_0_9])).
% 183.85/27.73 cnf(c_0_29, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(not(X2)),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_9])).
% 183.85/27.73 cnf(c_0_30, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X2)),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_17]), c_0_9])).
% 183.85/27.73 cnf(c_0_31, plain, (ifeq(is_a_theorem(implies(not(X1),not(X2))),true,is_a_theorem(implies(X2,X1)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_14]), c_0_9])).
% 183.85/27.73 cnf(c_0_32, plain, (is_a_theorem(implies(not(not(X1)),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_9])).
% 183.85/27.73 cnf(c_0_33, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_30]), c_0_9])).
% 183.85/27.73 cnf(c_0_34, plain, (is_a_theorem(implies(X1,not(not(X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_9])).
% 183.85/27.73 cnf(c_0_35, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_33]), c_0_9])).
% 183.85/27.73 cnf(c_0_36, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_11]), c_0_9])).
% 183.85/27.73 cnf(c_0_37, plain, (ifeq(is_a_theorem(implies(implies(X1,not(not(X1))),X2)),true,is_a_theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_34]), c_0_9])).
% 183.85/27.73 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_9])).
% 183.85/27.73 cnf(c_0_39, plain, (ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(X2,X3),implies(X1,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_11]), c_0_9])).
% 183.85/27.73 cnf(c_0_40, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,not(not(X2)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_9])).
% 183.85/27.73 cnf(c_0_41, negated_conjecture, (is_a_theorem(implies(implies(not(a),b),implies(not(b),a)))!=true), inference(fof_simplification,[status(thm)],[prove_mv_33])).
% 183.85/27.73 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(X1,not(not(X2))),X3),implies(implies(X1,X2),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_9])).
% 183.85/27.73 cnf(c_0_43, negated_conjecture, (is_a_theorem(implies(implies(not(a),b),implies(not(b),a)))!=true), c_0_41).
% 183.85/27.73 cnf(c_0_44, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(not(X2),X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_42]), c_0_9])).
% 183.85/27.73 cnf(c_0_45, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])]), ['proof']).
% 183.85/27.73 % SZS output end Proof
% 183.85/27.73 % User time : 25.403 s
% 183.85/27.73 % System time : 0.723 s
% 183.85/27.73 % Total time : 26.126 s
% 183.85/27.73 % User time : 127.219 s
% 183.85/27.73 % System time : 3.354 s
% 183.85/27.73 % Total time : 130.573 s
% 183.85/27.73
%------------------------------------------------------------------------------