%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n002.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 11:20:14 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 17:31:21 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 0.26/0.58 % Version : CSI_E---1.1
% 0.26/0.58 % Problem : theBenchmark.p
% 0.26/0.58 % Proof found!
% 0.26/0.58 # SZS status Unsatisfiable
% 0.26/0.58 % SZS output start Proof
% 0.26/0.58 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)).
% 0.26/0.58 cnf(cn_1, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_1)).
% 0.26/0.58 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifeq_axiom)).
% 0.26/0.58 cnf(cn_2, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_2)).
% 0.26/0.58 cnf(cn_3, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_3)).
% 0.26/0.58 cnf(prove_cn_21, negated_conjecture, (is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c))))!=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_21)).
% 0.26/0.58 cnf(c_0_6, axiom, (ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), condensed_detachment).
% 0.26/0.58 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))=true), cn_1).
% 0.26/0.58 cnf(c_0_8, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 0.26/0.58 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))=true), cn_2).
% 0.26/0.58 cnf(c_0_10, 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_6, c_0_7]), c_0_8])).
% 0.26/0.58 cnf(c_0_11, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))=true), cn_3).
% 0.26/0.58 cnf(c_0_12, plain, (ifeq(is_a_theorem(implies(implies(implies(not(X1),X1),X1),X2)),true,is_a_theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_9]), c_0_8])).
% 0.26/0.58 cnf(c_0_13, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_8])).
% 0.26/0.58 cnf(c_0_14, plain, (ifeq(is_a_theorem(X1),true,is_a_theorem(implies(not(X1),X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_11]), c_0_8])).
% 0.26/0.58 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_8])).
% 0.26/0.58 cnf(c_0_16, plain, (is_a_theorem(implies(not(implies(X1,X1)),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_8])).
% 0.26/0.58 cnf(c_0_17, plain, (ifeq(is_a_theorem(implies(implies(not(X1),X2),X3)),true,is_a_theorem(implies(X1,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_13]), c_0_8])).
% 0.26/0.58 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(implies(X3,X3)),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_16]), c_0_8])).
% 0.26/0.58 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_8])).
% 0.26/0.58 cnf(c_0_20, plain, (is_a_theorem(implies(implies(implies(not(implies(X1,X1)),X2),X3),implies(X4,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_19]), c_0_8])).
% 0.26/0.58 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(X2,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_20]), c_0_8])).
% 0.26/0.58 cnf(c_0_22, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_21]), c_0_8])).
% 0.26/0.58 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X4),X2),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_22]), c_0_8])).
% 0.26/0.58 cnf(c_0_24, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_23]), c_0_8])).
% 0.26/0.58 cnf(c_0_25, plain, (ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(implies(X3,X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_22]), c_0_8])).
% 0.26/0.58 cnf(c_0_26, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_24]), c_0_8])).
% 0.26/0.58 cnf(c_0_27, 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_10, c_0_7]), c_0_8])).
% 0.26/0.58 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_8])).
% 0.26/0.58 cnf(c_0_29, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(implies(X3,X1),X4)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_27]), c_0_8])).
% 0.26/0.58 cnf(c_0_30, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),implies(X4,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_28]), c_0_8])).
% 0.26/0.58 cnf(c_0_31, plain, (is_a_theorem(implies(implies(X1,implies(implies(X2,X2),X3)),implies(X4,implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_8])).
% 0.26/0.58 cnf(c_0_32, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,implies(implies(X2,X4),X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_31]), c_0_8])).
% 0.26/0.58 cnf(c_0_33, 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_6, c_0_24]), c_0_8])).
% 0.26/0.58 cnf(c_0_34, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(implies(X1,X2),X4),X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_32]), c_0_8])).
% 0.26/0.58 cnf(c_0_35, plain, (ifeq(is_a_theorem(implies(not(X1),X1)),true,is_a_theorem(X1),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_9]), c_0_8])).
% 0.26/0.58 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(implies(implies(implies(implies(X2,X2),X3),X3),X4),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_8])).
% 0.26/0.58 cnf(c_0_37, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_8])).
% 0.26/0.58 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_9]), c_0_8])).
% 0.26/0.58 cnf(c_0_39, plain, (is_a_theorem(implies(implies(X1,implies(implies(X2,X2),X3)),implies(X1,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_37]), c_0_8])).
% 0.26/0.58 cnf(c_0_40, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(not(X1),X1),X2)),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_38]), c_0_8])).
% 0.26/0.58 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(implies(X2,X3),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_39]), c_0_8])).
% 0.26/0.58 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_8])).
% 0.26/0.58 cnf(c_0_43, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_42]), c_0_8])).
% 0.26/0.58 cnf(c_0_44, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_43]), c_0_8])).
% 0.26/0.58 cnf(c_0_45, plain, (is_a_theorem(implies(X1,implies(implies(X2,X1),X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_44]), c_0_8])).
% 0.26/0.58 cnf(c_0_46, plain, (ifeq(is_a_theorem(implies(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_13]), c_0_8])).
% 0.26/0.58 cnf(c_0_47, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X2,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_45]), c_0_8])).
% 0.26/0.58 cnf(c_0_48, plain, (is_a_theorem(implies(X1,implies(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_8])).
% 0.26/0.58 cnf(c_0_49, 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_48]), c_0_8])).
% 0.26/0.58 cnf(c_0_50, 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_6, c_0_49]), c_0_8])).
% 0.26/0.58 cnf(c_0_51, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_41]), c_0_8])).
% 0.26/0.58 cnf(c_0_52, negated_conjecture, (is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c))))!=true), inference(fof_simplification,[status(thm)],[prove_cn_21])).
% 0.26/0.58 cnf(c_0_53, 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_10, c_0_51]), c_0_8])).
% 0.26/0.58 cnf(c_0_54, negated_conjecture, (is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c))))!=true), c_0_52).
% 0.26/0.58 cnf(c_0_55, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_53]), c_0_8])).
% 0.26/0.58 cnf(c_0_56, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])]), ['proof']).
% 0.26/0.58 % SZS output end Proof
% 0.26/0.58 % User time : 0.098 s
% 0.26/0.58 % System time : 0.003 s
% 0.26/0.58 % Total time : 0.101 s
% 0.26/0.58 % User time : 0.361 s
% 0.26/0.58 % System time : 0.029 s
% 0.26/0.58 % Total time : 0.390 s
% 0.26/0.58
%------------------------------------------------------------------------------