%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL900+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n010.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 11:21:54 AM UTC 2026
% Result : Theorem 3.48s 0.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL900+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n010.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 19:40:39 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 3.48/0.99 % Version : CSI_E---1.1
% 3.48/0.99 % Problem : theBenchmark.p
% 3.48/0.99 % Proof found!
% 3.48/0.99 % SZS status Theorem for theBenchmark.p
% 3.48/0.99 % SZS output start Proof
% 3.48/0.99 fof(sos_03, axiom, ![X1]:('+'(X1,'0')=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_03)).
% 3.48/0.99 fof(sos_02, axiom, ![X1, X2]:('+'(X1,X2)='+'(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_02)).
% 3.48/0.99 fof(sos_06, axiom, ![X7, X8]:((('>='(X7,X8)&'>='(X8,X7))=>X7=X8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_06)).
% 3.48/0.99 fof(sos_08, axiom, ![X1]:('>='(X1,'0')), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_08)).
% 3.48/0.99 fof(sos_07, axiom, ![X9, X10, X11]:(('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_07)).
% 3.48/0.99 fof(sos_09, axiom, ![X12, X13, X14]:(('>='(X12,X13)=>'>='('+'(X12,X14),'+'(X13,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_09)).
% 3.48/0.99 fof(sos_12, axiom, ![X1]:('+'(X1,'1')='1'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_12)).
% 3.48/0.99 fof(sos_13, axiom, ![X1, X2]:('==>'('==>'(X1,X2),X2)='==>'('==>'(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_13)).
% 3.48/0.99 fof(sos_11, axiom, ![X18, X19, X20]:(('>='(X18,X19)=>'>='('==>'(X20,X18),'==>'(X20,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_11)).
% 3.48/0.99 fof(sos_04, axiom, ![X1]:('>='(X1,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_04)).
% 3.48/0.99 fof(sos_01, axiom, ![X1, X2, X3]:('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_01)).
% 3.48/0.99 fof(goals_14, conjecture, ![X21, X22]:('+'(X21,'==>'(X21,X22))='+'(X22,'==>'(X22,X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals_14)).
% 3.48/0.99 fof(c_0_12, plain, ![X28]:('+'(X28,'0')=X28), inference(variable_rename,[status(thm)],[sos_03])).
% 3.48/0.99 fof(c_0_13, plain, ![X26, X27]:('+'(X26,X27)='+'(X27,X26)), inference(variable_rename,[status(thm)],[sos_02])).
% 3.48/0.99 fof(c_0_14, plain, ![X33, X34]:((~'>='(X33,X34)|~'>='(X34,X33)|X33=X34)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])).
% 3.48/0.99 fof(c_0_15, plain, ![X38]:('>='(X38,'0')), inference(variable_rename,[status(thm)],[sos_08])).
% 3.48/0.99 fof(c_0_16, plain, ![X35, X36, X37]:(((~'>='('+'(X35,X36),X37)|'>='(X36,'==>'(X35,X37)))&(~'>='(X36,'==>'(X35,X37))|'>='('+'(X35,X36),X37)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])).
% 3.48/0.99 fof(c_0_17, plain, ![X39, X40, X41]:((~'>='(X39,X40)|'>='('+'(X39,X41),'+'(X40,X41)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])).
% 3.48/0.99 cnf(c_0_18, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_12])).
% 3.48/0.99 cnf(c_0_19, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 3.48/0.99 fof(c_0_20, plain, ![X48]:('+'(X48,'1')='1'), inference(variable_rename,[status(thm)],[sos_12])).
% 3.48/0.99 cnf(c_0_21, plain, (X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 3.48/0.99 cnf(c_0_22, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.48/0.99 cnf(c_0_23, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_16])).
% 3.48/0.99 cnf(c_0_24, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
% 3.48/0.99 cnf(c_0_25, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 3.48/0.99 cnf(c_0_26, plain, ('+'(X1,'1')='1'), inference(split_conjunct,[status(thm)],[c_0_20])).
% 3.48/0.99 fof(c_0_27, plain, ![X49, X50]:('==>'('==>'(X49,X50),X50)='==>'('==>'(X50,X49),X49)), inference(variable_rename,[status(thm)],[sos_13])).
% 3.48/0.99 cnf(c_0_28, plain, ('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 3.48/0.99 cnf(c_0_29, plain, ('>='(X1,'==>'(X2,'0'))), inference(spm,[status(thm)],[c_0_23, c_0_22])).
% 3.48/0.99 cnf(c_0_30, plain, ('>='('+'(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_22]), c_0_25])).
% 3.48/0.99 cnf(c_0_31, plain, ('+'('1',X1)='1'), inference(spm,[status(thm)],[c_0_26, c_0_19])).
% 3.48/0.99 cnf(c_0_32, plain, ('==>'('==>'(X1,X2),X2)='==>'('==>'(X2,X1),X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
% 3.48/0.99 cnf(c_0_33, plain, ('==>'(X1,'0')='0'), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 3.48/0.99 cnf(c_0_34, plain, ('>='('1',X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 3.48/0.99 cnf(c_0_35, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_16])).
% 3.48/0.99 cnf(c_0_36, plain, ('==>'('==>'('0',X1),X1)='0'), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 3.48/0.99 cnf(c_0_37, plain, ('>='(X1,'==>'('1',X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_31]), c_0_34])])).
% 3.48/0.99 cnf(c_0_38, plain, ('>='('+'('==>'('0',X1),X2),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_22])])).
% 3.48/0.99 cnf(c_0_39, plain, ('==>'('1',X1)='0'), inference(spm,[status(thm)],[c_0_28, c_0_37])).
% 3.48/0.99 cnf(c_0_40, plain, ('>='('==>'('0',X1),X1)), inference(spm,[status(thm)],[c_0_38, c_0_18])).
% 3.48/0.99 cnf(c_0_41, plain, ('>='(X1,'==>'(X2,X1))), inference(spm,[status(thm)],[c_0_23, c_0_30])).
% 3.48/0.99 cnf(c_0_42, plain, ('==>'('==>'(X1,'1'),'1')='==>'('0',X1)), inference(spm,[status(thm)],[c_0_32, c_0_39])).
% 3.48/0.99 cnf(c_0_43, plain, ('==>'('0',X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_40]), c_0_41])])).
% 3.48/0.99 fof(c_0_44, plain, ![X45, X46, X47]:((~'>='(X45,X46)|'>='('==>'(X47,X45),'==>'(X47,X46)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])).
% 3.48/0.99 cnf(c_0_45, plain, ('==>'('==>'(X1,'1'),'1')=X1), inference(rw,[status(thm)],[c_0_42, c_0_43])).
% 3.48/0.99 fof(c_0_46, plain, ![X29]:('>='(X29,X29)), inference(variable_rename,[status(thm)],[sos_04])).
% 3.48/0.99 cnf(c_0_47, plain, ('>='('==>'(X3,X1),'==>'(X3,X2))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_44])).
% 3.48/0.99 cnf(c_0_48, plain, ('>='('+'('==>'(X1,'1'),X2),'1')|~'>='(X2,X1)), inference(spm,[status(thm)],[c_0_35, c_0_45])).
% 3.48/0.99 cnf(c_0_49, plain, ('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
% 3.48/0.99 cnf(c_0_50, plain, ('>='('==>'(X1,'1'),'==>'(X1,X2))), inference(spm,[status(thm)],[c_0_47, c_0_34])).
% 3.48/0.99 cnf(c_0_51, plain, ('>='('+'(X1,'==>'('==>'(X2,X1),'1')),'1')), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_41]), c_0_19])).
% 3.48/0.99 cnf(c_0_52, plain, ('>='('0','==>'(X1,X2))|~'>='(X1,X2)), inference(spm,[status(thm)],[c_0_23, c_0_18])).
% 3.48/0.99 cnf(c_0_53, plain, ('>='('+'(X1,'==>'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_35, c_0_49])).
% 3.48/0.99 fof(c_0_54, plain, ![X23, X24, X25]:('+'('+'(X23,X24),X25)='+'(X23,'+'(X24,X25))), inference(variable_rename,[status(thm)],[sos_01])).
% 3.48/0.99 cnf(c_0_55, plain, (X1='1'|~'>='(X1,'1')), inference(spm,[status(thm)],[c_0_21, c_0_34])).
% 3.48/0.99 cnf(c_0_56, plain, ('>='('+'(X1,'==>'(X1,'1')),X2)), inference(spm,[status(thm)],[c_0_35, c_0_50])).
% 3.48/0.99 cnf(c_0_57, plain, ('+'(X1,'==>'('==>'(X2,X1),'1'))='1'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_51]), c_0_34])])).
% 3.48/0.99 cnf(c_0_58, plain, ('>='('0','==>'('+'(X1,'==>'(X1,X2)),X2))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 3.48/0.99 cnf(c_0_59, plain, ('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_54])).
% 3.48/0.99 cnf(c_0_60, plain, ('+'(X1,'==>'(X1,'1'))='1'), inference(spm,[status(thm)],[c_0_55, c_0_56])).
% 3.48/0.99 cnf(c_0_61, plain, ('+'(X1,'==>'('==>'('==>'(X1,X2),X2),'1'))='1'), inference(spm,[status(thm)],[c_0_57, c_0_32])).
% 3.48/0.99 cnf(c_0_62, plain, ('==>'('+'(X1,'==>'(X1,X2)),X2)='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_58]), c_0_22])])).
% 3.48/0.99 cnf(c_0_63, plain, ('>='(X1,'==>'(X2,'+'(X2,X1)))), inference(spm,[status(thm)],[c_0_23, c_0_49])).
% 3.48/0.99 cnf(c_0_64, plain, ('+'(X1,'+'(X2,'==>'('+'(X1,X2),'1')))='1'), inference(spm,[status(thm)],[c_0_59, c_0_60])).
% 3.48/0.99 cnf(c_0_65, plain, ('+'(X1,'+'(X2,X3))='+'(X2,'+'(X3,X1))), inference(spm,[status(thm)],[c_0_59, c_0_19])).
% 3.48/0.99 cnf(c_0_66, plain, ('+'(X1,'+'('==>'(X1,X2),'==>'(X2,'1')))='1'), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_43]), c_0_59])).
% 3.48/0.99 cnf(c_0_67, plain, ('>='('+'(X1,'==>'('+'(X2,X1),'1')),'==>'(X2,'1'))), inference(spm,[status(thm)],[c_0_63, c_0_64])).
% 3.48/0.99 cnf(c_0_68, plain, ('>='(X1,'==>'('+'(X2,X3),'+'(X2,'+'(X3,X1))))), inference(spm,[status(thm)],[c_0_63, c_0_59])).
% 3.48/0.99 cnf(c_0_69, plain, ('+'('==>'(X1,'1'),'+'(X2,'==>'(X2,X1)))='1'), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 3.48/0.99 cnf(c_0_70, plain, ('>='('==>'('+'(X1,X2),'1'),'==>'(X2,'==>'(X1,'1')))), inference(spm,[status(thm)],[c_0_23, c_0_67])).
% 3.48/0.99 cnf(c_0_71, plain, ('>='('0','==>'(X1,'==>'(X2,X1)))), inference(spm,[status(thm)],[c_0_52, c_0_41])).
% 3.48/0.99 cnf(c_0_72, plain, ('+'(X1,'+'(X2,'==>'(X1,'==>'(X2,'1'))))='1'), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_32]), c_0_39]), c_0_43]), c_0_19])).
% 3.48/0.99 cnf(c_0_73, plain, ('>='('==>'(X1,X2),'==>'('+'('==>'(X2,'1'),X1),'1'))), inference(spm,[status(thm)],[c_0_68, c_0_69])).
% 3.48/0.99 cnf(c_0_74, plain, ('>='('==>'('+'('==>'(X1,'1'),X2),'1'),'==>'(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_32]), c_0_39]), c_0_43])).
% 3.48/0.99 cnf(c_0_75, plain, ('==>'(X1,'==>'(X2,X1))='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_71]), c_0_22])])).
% 3.48/0.99 cnf(c_0_76, plain, ('>='('+'(X1,'==>'(X2,'==>'(X1,'1'))),'==>'(X2,'1'))), inference(spm,[status(thm)],[c_0_63, c_0_72])).
% 3.48/0.99 cnf(c_0_77, plain, ('>='('0','==>'('==>'(X1,'1'),'==>'(X1,X2)))), inference(spm,[status(thm)],[c_0_52, c_0_50])).
% 3.48/0.99 cnf(c_0_78, plain, ('==>'('+'('==>'(X1,'1'),X2),'1')='==>'(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_73]), c_0_74])])).
% 3.48/0.99 cnf(c_0_79, plain, ('==>'('==>'('==>'(X1,X2),X2),X2)='==>'(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_75]), c_0_43])).
% 3.48/0.99 cnf(c_0_80, plain, ('>='('==>'(X1,'==>'(X2,'1')),'==>'(X2,'==>'(X1,'1')))), inference(spm,[status(thm)],[c_0_23, c_0_76])).
% 3.48/0.99 cnf(c_0_81, plain, ('==>'('==>'(X1,'1'),'==>'(X1,X2))='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_77]), c_0_22])])).
% 3.48/0.99 cnf(c_0_82, plain, ('==>'('==>'(X1,X2),'1')='+'('==>'(X2,'1'),X1)), inference(spm,[status(thm)],[c_0_45, c_0_78])).
% 3.48/0.99 cnf(c_0_83, plain, ('==>'('==>'('==>'(X1,X2),X2),X1)='==>'(X2,X1)), inference(spm,[status(thm)],[c_0_79, c_0_32])).
% 3.48/0.99 cnf(c_0_84, plain, ('==>'(X1,'==>'(X2,'1'))='==>'(X2,'==>'(X1,'1'))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_80]), c_0_80])])).
% 3.48/0.99 cnf(c_0_85, plain, ('==>'(X1,'==>'('==>'(X1,'1'),X2))='0'), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_32]), c_0_39]), c_0_43])).
% 3.48/0.99 cnf(c_0_86, plain, ('+'(X1,'+'(X2,'==>'('+'(X2,X1),'1')))='1'), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_64]), c_0_19])).
% 3.48/0.99 cnf(c_0_87, plain, ('+'('==>'(X1,'1'),'==>'('==>'(X1,X2),X2))='+'('==>'(X1,'1'),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_82])).
% 3.48/0.99 cnf(c_0_88, plain, ('==>'('==>'(X1,'1'),'==>'(X2,'1'))='==>'(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_32]), c_0_39]), c_0_43])).
% 3.48/0.99 cnf(c_0_89, plain, ('==>'('==>'('==>'('==>'(X1,'1'),X2),X1),X1)='==>'('==>'(X1,'1'),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_85]), c_0_43])).
% 3.48/0.99 fof(c_0_90, negated_conjecture, ~(![X21, X22]:('+'(X21,'==>'(X21,X22))='+'(X22,'==>'(X22,X21)))), inference(assume_negation,[status(cth)],[goals_14])).
% 3.48/0.99 cnf(c_0_91, plain, ('>='('+'(X1,'==>'('+'(X1,X2),'1')),'==>'(X2,'1'))), inference(spm,[status(thm)],[c_0_63, c_0_86])).
% 3.48/0.99 cnf(c_0_92, plain, ('+'(X1,'==>'(X2,'+'('==>'(X1,'1'),X2)))='+'(X1,'==>'(X2,'1'))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_82]), c_0_39]), c_0_25]), c_0_84]), c_0_82]), c_0_82]), c_0_39]), c_0_25])).
% 3.48/0.99 cnf(c_0_93, plain, ('==>'('+'(X1,X2),'1')='==>'(X2,'==>'(X1,'1'))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_89]), c_0_39]), c_0_43]), c_0_39]), c_0_43])).
% 3.48/0.99 fof(c_0_94, negated_conjecture, '+'(esk1_0,'==>'(esk1_0,esk2_0))!='+'(esk2_0,'==>'(esk2_0,esk1_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])])).
% 3.48/0.99 cnf(c_0_95, plain, ('>='('+'(X1,'==>'(X1,X2)),'+'(X2,'==>'(X2,X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93]), c_0_88]), c_0_82]), c_0_93]), c_0_82]), c_0_39]), c_0_25]), c_0_19])).
% 3.48/0.99 cnf(c_0_96, negated_conjecture, ('+'(esk1_0,'==>'(esk1_0,esk2_0))!='+'(esk2_0,'==>'(esk2_0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_94])).
% 3.48/0.99 cnf(c_0_97, plain, ('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_95]), c_0_95])])).
% 3.48/0.99 cnf(c_0_98, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97])]), ['proof']).
% 3.48/0.99 % SZS output end Proof
% 3.48/0.99 % User time : 0.458 s
% 3.48/0.99 % System time : 0.029 s
% 3.48/0.99 % Total time : 0.487 s
% 3.48/0.99 % User time : 2.277 s
% 3.48/0.99 % System time : 0.058 s
% 3.48/0.99 % Total time : 2.335 s
% 3.48/0.99
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