%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL929-1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n012.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 11:21:56 AM UTC 2026
% Result : Unsatisfiable 124.23s 18.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL929-1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.01 % Command : java -jar mcs_scs.jar %d %s
% 0.03/0.28 % Computer : n012.cluster.edu
% 0.03/0.28 % Model : x86_64 x86_64
% 0.03/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.28 % Memory : 8046.5625MB
% 0.03/0.28 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 5 08:46:12 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.09/0.35 start to proof:theBenchmark.p
% 124.23/18.96 % Version : CSI_E---1.1
% 124.23/18.96 % Problem : theBenchmark.p
% 124.23/18.96 % Proof found!
% 124.23/18.96 # SZS status Unsatisfiable
% 124.23/18.96 % SZS output start Proof
% 124.23/18.96 cnf(modus_ponens, axiom, (p(X2)|~p(i(X1,X2))|~p(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', modus_ponens)).
% 124.23/18.96 cnf(axBp, axiom, (p(i(i(X1,X2),i(i(X2,X3),i(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axBp)).
% 124.23/18.96 cnf(resid2, axiom, (p(i(f(X1,X2),X3))|~p(i(X1,i(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', resid2)).
% 124.23/18.96 cnf(axI, axiom, (p(i(X1,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axI)).
% 124.23/18.96 cnf(resid1, axiom, (p(i(X1,i(X2,X3)))|~p(i(f(X1,X2),X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', resid1)).
% 124.23/18.96 cnf(axL, axiom, (p(i(i(i(X1,X2),X2),i(i(X2,X1),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axL)).
% 124.23/18.96 cnf(axK, negated_conjecture, (~p(i(a,i(b,a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axK)).
% 124.23/18.96 cnf(c_0_7, plain, (p(X2)|~p(i(X1,X2))|~p(X1)), inference(fof_simplification,[status(thm)],[modus_ponens])).
% 124.23/18.96 cnf(c_0_8, plain, (p(X2)|~p(i(X1,X2))|~p(X1)), c_0_7).
% 124.23/18.96 cnf(c_0_9, axiom, (p(i(i(X1,X2),i(i(X2,X3),i(X1,X3))))), axBp).
% 124.23/18.96 cnf(c_0_10, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(X3,X1))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 124.23/18.96 cnf(c_0_11, plain, (p(i(X1,X2))|~p(i(X3,X2))|~p(i(X1,X3))), inference(spm,[status(thm)],[c_0_8, c_0_10])).
% 124.23/18.96 cnf(c_0_12, plain, (p(i(X1,i(X2,X3)))|~p(i(X1,i(X4,X3)))|~p(i(X2,X4))), inference(spm,[status(thm)],[c_0_11, c_0_10])).
% 124.23/18.96 cnf(c_0_13, plain, (p(i(f(X1,X2),X3))|~p(i(X1,i(X2,X3)))), inference(fof_simplification,[status(thm)],[resid2])).
% 124.23/18.96 cnf(c_0_14, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(X3,X4))|~p(i(X4,X1))), inference(spm,[status(thm)],[c_0_12, c_0_10])).
% 124.23/18.96 cnf(c_0_15, plain, (p(i(f(X1,X2),X3))|~p(i(X1,i(X2,X3)))), c_0_13).
% 124.23/18.96 cnf(c_0_16, plain, (p(i(i(X1,X2),i(f(X3,X4),X2)))|~p(i(X3,i(X4,X5)))|~p(i(X5,X1))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 124.23/18.96 cnf(c_0_17, axiom, (p(i(X1,X1))), axI).
% 124.23/18.96 cnf(c_0_18, plain, (p(i(X1,i(X2,X3)))|~p(i(f(X1,X2),X3))), inference(fof_simplification,[status(thm)],[resid1])).
% 124.23/18.96 cnf(c_0_19, axiom, (p(i(i(i(X1,X2),X2),i(i(X2,X1),X1)))), axL).
% 124.23/18.96 cnf(c_0_20, plain, (p(i(i(X1,X2),i(f(i(X3,X4),X3),X2)))|~p(i(X4,X1))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 124.23/18.96 cnf(c_0_21, plain, (p(i(X1,i(X2,X3)))|~p(i(f(X1,X2),X3))), c_0_18).
% 124.23/18.96 cnf(c_0_22, plain, (p(i(X1,i(i(X2,X3),X3)))|~p(i(X1,i(i(X3,X2),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_19])).
% 124.23/18.96 cnf(c_0_23, plain, (p(i(f(i(X1,X2),X1),X3))|~p(i(X4,X3))|~p(i(X2,X4))), inference(spm,[status(thm)],[c_0_8, c_0_20])).
% 124.23/18.96 cnf(c_0_24, plain, (p(i(X1,i(X2,f(X1,X2))))), inference(spm,[status(thm)],[c_0_21, c_0_17])).
% 124.23/18.96 cnf(c_0_25, plain, (p(i(i(X1,X2),i(i(X2,X3),X3)))|~p(i(i(X3,X2),X1))), inference(spm,[status(thm)],[c_0_22, c_0_10])).
% 124.23/18.96 cnf(c_0_26, plain, (p(i(f(i(X1,X2),X1),X3))|~p(i(X2,X3))), inference(spm,[status(thm)],[c_0_23, c_0_17])).
% 124.23/18.96 cnf(c_0_27, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(i(X4,f(X3,X4)),X1))), inference(spm,[status(thm)],[c_0_14, c_0_24])).
% 124.23/18.96 cnf(c_0_28, plain, (p(i(i(X1,X2),X2))|~p(i(i(X2,X1),X3))|~p(i(X3,X1))), inference(spm,[status(thm)],[c_0_8, c_0_25])).
% 124.23/18.96 cnf(c_0_29, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(X2,X3))), inference(spm,[status(thm)],[c_0_21, c_0_26])).
% 124.23/18.96 cnf(c_0_30, plain, (p(i(i(i(X1,f(X2,X1)),X3),i(X2,X3)))), inference(spm,[status(thm)],[c_0_27, c_0_17])).
% 124.23/18.96 cnf(c_0_31, plain, (p(X1)|~p(i(X2,i(X3,X1)))|~p(f(X2,X3))), inference(spm,[status(thm)],[c_0_8, c_0_15])).
% 124.23/18.96 cnf(c_0_32, plain, (p(i(X1,f(X2,X1)))|~p(X2)), inference(spm,[status(thm)],[c_0_8, c_0_24])).
% 124.23/18.96 cnf(c_0_33, plain, (p(i(i(X1,X2),X2))|~p(i(i(X2,X3),X1))|~p(i(X1,X3))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 124.23/18.96 cnf(c_0_34, plain, (p(i(X1,i(X2,X3)))|~p(i(X1,i(i(X4,f(X2,X4)),X3)))), inference(spm,[status(thm)],[c_0_11, c_0_30])).
% 124.23/18.96 cnf(c_0_35, plain, (p(i(X1,i(i(X2,X3),i(X4,X3))))|~p(i(X1,i(X4,X2)))), inference(spm,[status(thm)],[c_0_11, c_0_9])).
% 124.23/18.96 cnf(c_0_36, plain, (p(i(X1,i(X2,f(X3,X2))))|~p(i(X1,X3))), inference(spm,[status(thm)],[c_0_11, c_0_24])).
% 124.23/18.96 cnf(c_0_37, plain, (p(i(i(X1,X2),i(i(X3,X4),X2)))|~p(i(i(i(X4,X5),i(X3,X5)),X1))), inference(spm,[status(thm)],[c_0_14, c_0_9])).
% 124.23/18.96 cnf(c_0_38, plain, (p(i(f(X1,X2),i(i(X3,X4),X4)))|~p(i(X1,i(X2,i(i(X4,X3),X3))))), inference(spm,[status(thm)],[c_0_22, c_0_15])).
% 124.23/18.96 cnf(c_0_39, plain, (p(i(X1,i(X2,X3)))|~p(i(X1,i(X2,X4)))|~p(i(X4,X3))), inference(spm,[status(thm)],[c_0_11, c_0_29])).
% 124.23/18.96 cnf(c_0_40, plain, (p(X1)|~p(f(i(X2,X1),X3))|~p(i(X3,X2))), inference(spm,[status(thm)],[c_0_31, c_0_10])).
% 124.23/18.96 cnf(c_0_41, plain, (p(f(X1,X2))|~p(X2)|~p(X1)), inference(spm,[status(thm)],[c_0_8, c_0_32])).
% 124.23/18.96 cnf(c_0_42, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(i(X1,X2),X3))|~p(i(X3,X2))), inference(spm,[status(thm)],[c_0_33, c_0_29])).
% 124.23/18.96 cnf(c_0_43, plain, (p(i(X1,i(X2,i(X3,f(X2,X4)))))|~p(i(X1,i(X3,X4)))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 124.23/18.96 cnf(c_0_44, plain, (p(i(X1,i(X2,f(X3,X2))))|~p(i(X1,X4))|~p(i(X4,X3))), inference(spm,[status(thm)],[c_0_11, c_0_36])).
% 124.23/18.96 cnf(c_0_45, plain, (p(i(i(X1,X2),i(i(i(X3,X4),X4),X2)))|~p(i(i(i(X4,X3),X3),X1))), inference(spm,[status(thm)],[c_0_14, c_0_19])).
% 124.23/18.96 cnf(c_0_46, plain, (p(i(i(i(i(X1,X2),i(X3,X2)),X4),i(i(X3,X1),X4)))), inference(spm,[status(thm)],[c_0_37, c_0_17])).
% 124.23/18.96 cnf(c_0_47, plain, (p(i(f(i(i(X1,X2),X3),i(X3,X2)),i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_38, c_0_9])).
% 124.23/18.96 cnf(c_0_48, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(X4,X3))|~p(i(X2,X4))), inference(spm,[status(thm)],[c_0_39, c_0_29])).
% 124.23/18.96 cnf(c_0_49, plain, (p(X1)|~p(i(X2,X3))|~p(i(X3,X1))|~p(X2)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 124.23/18.96 cnf(c_0_50, plain, (p(i(i(X1,X2),i(i(X3,X4),X2)))|~p(i(i(X3,X5),X1))|~p(i(X4,X5))), inference(spm,[status(thm)],[c_0_14, c_0_29])).
% 124.23/18.96 cnf(c_0_51, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(f(X3,i(X1,X2)),X2))|~p(X3)), inference(spm,[status(thm)],[c_0_42, c_0_32])).
% 124.23/18.96 cnf(c_0_52, plain, (p(i(X1,f(X2,X3)))|~p(i(X4,i(X1,X3)))|~p(f(X4,X2))), inference(spm,[status(thm)],[c_0_31, c_0_43])).
% 124.23/18.96 cnf(c_0_53, plain, (p(i(X1,i(X2,f(X3,X2))))|~p(i(i(X4,f(X1,X4)),X3))), inference(spm,[status(thm)],[c_0_44, c_0_24])).
% 124.23/18.96 cnf(c_0_54, plain, (p(i(i(i(i(X1,X2),X2),X3),i(i(i(X2,X1),X1),X3)))), inference(spm,[status(thm)],[c_0_45, c_0_17])).
% 124.23/18.96 cnf(c_0_55, plain, (p(i(i(X1,X2),X3))|~p(i(i(i(X2,X4),i(X1,X4)),X3))), inference(spm,[status(thm)],[c_0_8, c_0_46])).
% 124.23/18.96 cnf(c_0_56, plain, (p(i(i(i(X1,X2),X3),i(i(X3,X2),i(i(X2,X1),X1))))), inference(spm,[status(thm)],[c_0_21, c_0_47])).
% 124.23/18.96 cnf(c_0_57, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(X2,f(X4,X5)))|~p(i(X4,i(X5,X3)))), inference(spm,[status(thm)],[c_0_48, c_0_15])).
% 124.23/18.96 cnf(c_0_58, plain, (p(X1)|~p(i(i(i(X2,X3),X3),X1))|~p(i(i(X3,X2),X2))), inference(spm,[status(thm)],[c_0_49, c_0_19])).
% 124.23/18.96 cnf(c_0_59, plain, (p(i(i(i(X1,X2),X3),i(i(X1,X4),X3)))|~p(i(X4,X2))), inference(spm,[status(thm)],[c_0_50, c_0_17])).
% 124.23/18.96 cnf(c_0_60, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(X3,i(i(X1,X2),X2)))|~p(X3)), inference(spm,[status(thm)],[c_0_51, c_0_15])).
% 124.23/18.96 cnf(c_0_61, plain, (p(i(i(X1,X2),f(X3,i(X4,X2))))|~p(f(i(X4,X1),X3))), inference(spm,[status(thm)],[c_0_52, c_0_9])).
% 124.23/18.96 cnf(c_0_62, plain, (p(i(X1,i(X2,f(i(X3,f(X1,X3)),X2))))), inference(spm,[status(thm)],[c_0_53, c_0_17])).
% 124.23/18.96 cnf(c_0_63, plain, (p(X1)|~p(i(f(X2,X3),X1))|~p(X3)|~p(X2)), inference(spm,[status(thm)],[c_0_49, c_0_32])).
% 124.23/18.96 cnf(c_0_64, plain, (p(i(i(i(X1,X2),X2),X3))|~p(i(i(i(X2,X1),X1),X3))), inference(spm,[status(thm)],[c_0_8, c_0_54])).
% 124.23/18.96 cnf(c_0_65, plain, (p(i(i(X1,X2),i(i(i(X1,X3),X3),i(i(X3,X2),X2))))), inference(spm,[status(thm)],[c_0_55, c_0_56])).
% 124.23/18.96 cnf(c_0_66, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(X4,i(X2,X3)))|~p(X4)), inference(spm,[status(thm)],[c_0_57, c_0_32])).
% 124.23/18.96 cnf(c_0_67, plain, (p(i(i(X1,X2),X3))|~p(i(i(X3,X1),X1))|~p(i(X2,X3))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 124.23/18.96 cnf(c_0_68, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_60, c_0_19])).
% 124.23/18.96 cnf(c_0_69, plain, (p(f(X1,i(X2,X3)))|~p(f(i(X2,X4),X1))|~p(i(X4,X3))), inference(spm,[status(thm)],[c_0_8, c_0_61])).
% 124.23/18.96 cnf(c_0_70, plain, (p(f(i(X1,f(X2,X1)),X3))|~p(f(X2,X3))), inference(spm,[status(thm)],[c_0_31, c_0_62])).
% 124.23/18.96 cnf(c_0_71, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(X4,i(X3,X1)))|~p(X4)), inference(spm,[status(thm)],[c_0_8, c_0_35])).
% 124.23/18.96 cnf(c_0_72, plain, (p(X1)|~p(i(X2,i(X3,X1)))|~p(X3)|~p(X2)), inference(spm,[status(thm)],[c_0_63, c_0_15])).
% 124.23/18.96 cnf(c_0_73, plain, (p(i(i(i(X1,X2),X2),i(i(i(i(X2,X1),X3),X3),i(i(X3,X1),X1))))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 124.23/18.96 cnf(c_0_74, plain, (p(i(i(X1,i(X2,X3)),i(X1,X3)))|~p(i(i(X3,X2),X2))), inference(spm,[status(thm)],[c_0_66, c_0_19])).
% 124.23/18.96 cnf(c_0_75, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(X2,i(X1,X3)))|~p(i(i(X3,X1),X1))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 124.23/18.96 cnf(c_0_76, plain, (p(i(i(X1,X2),i(i(X2,X3),X4)))|~p(i(i(X1,X3),X4))), inference(spm,[status(thm)],[c_0_55, c_0_29])).
% 124.23/18.96 cnf(c_0_77, plain, (p(f(X1,i(X2,X3)))|~p(i(f(X4,X2),X3))|~p(f(X4,X1))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
% 124.23/18.96 cnf(c_0_78, plain, (p(i(i(i(X1,X2),X3),i(i(X4,X2),X3)))|~p(i(X1,X4))), inference(spm,[status(thm)],[c_0_71, c_0_9])).
% 124.23/18.96 cnf(c_0_79, plain, (p(i(i(X1,X2),X2))|~p(i(i(i(X3,X2),X1),X1))|~p(i(i(X2,X3),X3))), inference(spm,[status(thm)],[c_0_72, c_0_73])).
% 124.23/18.96 cnf(c_0_80, plain, (p(i(i(X1,i(i(X2,X3),X2)),i(X1,X2)))|~p(i(i(X3,X2),X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_17])])).
% 124.23/18.96 cnf(c_0_81, plain, (p(i(i(X1,X2),i(i(X3,X2),X2)))|~p(i(i(X1,X3),X3))), inference(spm,[status(thm)],[c_0_22, c_0_76])).
% 124.23/18.96 cnf(c_0_82, plain, (p(f(X1,i(X2,X3)))|~p(i(X4,i(X2,X3)))|~p(f(X4,X1))), inference(spm,[status(thm)],[c_0_77, c_0_15])).
% 124.23/18.96 cnf(c_0_83, plain, (p(f(X1,X2))|~p(i(X3,X2))|~p(f(X1,X3))), inference(spm,[status(thm)],[c_0_40, c_0_70])).
% 124.23/18.96 cnf(c_0_84, plain, (p(i(i(X1,X2),X3))|~p(i(i(X4,X2),X3))|~p(i(X4,X1))), inference(spm,[status(thm)],[c_0_8, c_0_78])).
% 124.23/18.96 cnf(c_0_85, plain, (p(i(i(i(i(X1,X2),X1),X2),X2))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_79, c_0_80])).
% 124.23/18.96 cnf(c_0_86, plain, (p(i(i(i(X1,X2),X3),i(i(X1,X3),X3)))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_81, c_0_68])).
% 124.23/18.96 cnf(c_0_87, plain, (p(X1)|~p(i(X2,i(X3,X4)))|~p(i(X4,X1))|~p(f(X2,X3))), inference(spm,[status(thm)],[c_0_49, c_0_15])).
% 124.23/18.96 cnf(c_0_88, plain, (p(f(X1,i(X2,X3)))|~p(f(i(X2,X3),X1))), inference(spm,[status(thm)],[c_0_82, c_0_17])).
% 124.23/18.96 cnf(c_0_89, plain, (p(f(X1,i(X2,f(X3,X2))))|~p(f(X1,X3))), inference(spm,[status(thm)],[c_0_83, c_0_24])).
% 124.23/18.96 cnf(c_0_90, plain, (p(i(X1,f(X2,X1)))|~p(i(X3,X2))|~p(X3)), inference(spm,[status(thm)],[c_0_8, c_0_36])).
% 124.23/18.96 cnf(c_0_91, plain, (p(i(i(X1,X2),X2))|~p(i(i(i(X3,X2),X3),X1))|~p(i(i(X2,X3),X3))), inference(spm,[status(thm)],[c_0_84, c_0_85])).
% 124.23/18.96 cnf(c_0_92, plain, (p(i(i(i(X1,X2),X3),i(i(X3,X1),X1)))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_22, c_0_86])).
% 124.23/18.96 cnf(c_0_93, plain, (p(X1)|~p(f(i(X2,X3),X2))|~p(i(X3,X1))), inference(spm,[status(thm)],[c_0_87, c_0_17])).
% 124.23/18.96 cnf(c_0_94, plain, (p(f(i(X1,f(X2,X1)),i(X3,X4)))|~p(f(i(X3,X4),X2))), inference(spm,[status(thm)],[c_0_88, c_0_89])).
% 124.23/18.96 cnf(c_0_95, plain, (p(i(X1,f(i(X2,X3),X1)))|~p(i(X4,X3))|~p(i(X2,X4))), inference(spm,[status(thm)],[c_0_90, c_0_10])).
% 124.23/18.96 cnf(c_0_96, plain, (p(i(i(i(i(X1,X1),X1),X2),X2))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
% 124.23/18.96 cnf(c_0_97, plain, (p(X1)|~p(i(f(X2,i(X3,X4)),X1))|~p(f(i(X3,X4),X2))), inference(spm,[status(thm)],[c_0_93, c_0_94])).
% 124.23/18.96 cnf(c_0_98, plain, (p(i(X1,f(i(X2,i(X3,X4)),X1)))|~p(i(X2,i(X3,X5)))|~p(i(X5,X4))), inference(spm,[status(thm)],[c_0_95, c_0_29])).
% 124.23/18.96 cnf(c_0_99, plain, (p(i(i(X1,X2),X2))|~p(i(i(i(X1,X3),i(X2,X3)),X1))), inference(spm,[status(thm)],[c_0_28, c_0_9])).
% 124.23/18.96 cnf(c_0_100, plain, (p(i(i(i(i(i(X1,X2),X2),i(i(X2,X3),X3)),X4),i(i(X1,X3),X4)))), inference(spm,[status(thm)],[c_0_37, c_0_56])).
% 124.23/18.96 cnf(c_0_101, plain, (p(i(i(i(i(X1,X1),X1),X2),i(i(X3,X2),X2)))|~p(i(i(X3,X1),X1))), inference(spm,[status(thm)],[c_0_81, c_0_96])).
% 124.23/18.96 cnf(c_0_102, plain, (p(X1)|~p(i(X2,i(i(X3,X4),X1)))|~p(f(i(X3,X4),X2))), inference(spm,[status(thm)],[c_0_97, c_0_15])).
% 124.23/18.96 cnf(c_0_103, plain, (p(i(X1,f(i(i(X2,X3),i(X2,X4)),X1)))|~p(i(X3,X4))), inference(spm,[status(thm)],[c_0_98, c_0_17])).
% 124.23/18.96 cnf(c_0_104, plain, (p(i(i(i(i(i(X1,X2),X2),i(X3,X1)),X4),i(i(X3,i(X2,X1)),X4)))), inference(spm,[status(thm)],[c_0_37, c_0_54])).
% 124.23/18.96 cnf(c_0_105, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(i(X2,i(X1,X2)),i(X1,X2)))), inference(spm,[status(thm)],[c_0_99, c_0_68])).
% 124.23/18.96 cnf(c_0_106, plain, (p(i(i(X1,i(X2,X1)),i(X2,X1)))|~p(i(i(i(X1,X2),X2),X1))), inference(spm,[status(thm)],[c_0_28, c_0_19])).
% 124.23/18.96 cnf(c_0_107, plain, (p(i(i(i(i(X1,X2),i(X3,X2)),X1),i(i(X1,X3),X3)))), inference(spm,[status(thm)],[c_0_22, c_0_46])).
% 124.23/18.96 cnf(c_0_108, plain, (p(i(i(X1,X2),X3))|~p(i(i(i(i(X1,X4),X4),i(i(X4,X2),X2)),X3))), inference(spm,[status(thm)],[c_0_8, c_0_100])).
% 124.23/18.96 cnf(c_0_109, plain, (p(i(i(i(i(X1,X1),X1),X2),i(i(X2,X3),X3)))|~p(i(i(X3,X1),X1))), inference(spm,[status(thm)],[c_0_22, c_0_101])).
% 124.23/18.96 cnf(c_0_110, plain, (p(X1)|~p(f(i(X2,X3),i(i(X2,X3),X1)))), inference(spm,[status(thm)],[c_0_102, c_0_17])).
% 124.23/18.96 cnf(c_0_111, plain, (p(f(i(i(X1,X2),i(X1,X3)),X4))|~p(i(X2,X3))|~p(X4)), inference(spm,[status(thm)],[c_0_8, c_0_103])).
% 124.23/18.96 cnf(c_0_112, plain, (p(i(i(X1,i(X2,X3)),X4))|~p(i(i(i(i(X3,X2),X2),i(X1,X3)),X4))), inference(spm,[status(thm)],[c_0_8, c_0_104])).
% 124.23/18.96 cnf(c_0_113, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(i(i(X2,X1),X1),X2))), inference(spm,[status(thm)],[c_0_105, c_0_106])).
% 124.23/18.96 cnf(c_0_114, plain, (p(i(X1,i(i(X2,X3),X3)))|~p(i(X1,i(i(i(X2,X4),i(X3,X4)),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_107])).
% 124.23/18.96 cnf(c_0_115, plain, (p(i(i(X1,X2),i(i(i(i(X1,X2),X2),X3),X3)))|~p(i(i(X3,X1),X1))), inference(spm,[status(thm)],[c_0_108, c_0_109])).
% 124.23/18.96 cnf(c_0_116, plain, (p(X1)|~p(i(i(i(X2,X3),i(X2,X4)),X1))|~p(i(X3,X4))), inference(spm,[status(thm)],[c_0_110, c_0_111])).
% 124.23/18.96 cnf(c_0_117, plain, (p(i(i(X1,i(X2,X3)),i(i(i(X3,X2),X2),X4)))|~p(i(i(X1,X3),X4))), inference(spm,[status(thm)],[c_0_112, c_0_29])).
% 124.23/18.96 cnf(c_0_118, plain, (p(i(i(i(X1,i(X2,X1)),X1),X1))|~p(i(X2,i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_113, c_0_10])).
% 124.23/18.96 cnf(c_0_119, plain, (p(i(i(X1,X2),i(i(i(X1,X2),X1),X1)))|~p(i(i(i(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
% 124.23/18.96 cnf(c_0_120, plain, (p(i(i(i(X1,X2),X2),X3))|~p(i(i(i(X2,X4),X1),X3))|~p(i(X4,X1))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
% 124.23/18.96 cnf(c_0_121, plain, (p(i(i(i(X1,i(i(X1,X2),X1)),X1),X1))|~p(i(i(i(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_118, c_0_119])).
% 124.23/18.96 cnf(c_0_122, plain, (p(X1)|~p(i(i(i(X2,X3),i(X4,X3)),X1))|~p(i(X4,X2))), inference(spm,[status(thm)],[c_0_49, c_0_9])).
% 124.23/18.96 cnf(c_0_123, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(i(i(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_120, c_0_121])).
% 124.23/18.96 cnf(c_0_124, plain, (p(i(i(i(X1,X2),X3),X3))|~p(i(i(X2,X3),X3))|~p(i(X1,X3))), inference(spm,[status(thm)],[c_0_122, c_0_92])).
% 124.23/18.96 cnf(c_0_125, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(i(X2,X1),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_17])])).
% 124.23/18.96 cnf(c_0_126, plain, (p(i(i(X1,i(X1,X2)),i(X1,X2)))|~p(i(i(X2,i(X1,X2)),i(X1,X2)))), inference(spm,[status(thm)],[c_0_55, c_0_68])).
% 124.23/18.96 cnf(c_0_127, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(i(X1,X2),X2))), inference(spm,[status(thm)],[c_0_125, c_0_96])).
% 124.23/18.96 cnf(c_0_128, plain, (p(i(i(X1,i(X1,X2)),i(X1,X2)))|~p(i(i(i(X2,X1),X1),X2))), inference(spm,[status(thm)],[c_0_126, c_0_106])).
% 124.23/18.96 cnf(c_0_129, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(i(i(X2,X1),X1),X2))), inference(spm,[status(thm)],[c_0_127, c_0_128])).
% 124.23/18.96 cnf(c_0_130, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(X2,i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_129, c_0_10])).
% 124.23/18.96 cnf(c_0_131, plain, (p(i(i(i(X1,X2),X2),i(i(X3,X1),X1)))|~p(i(X2,X3))), inference(spm,[status(thm)],[c_0_64, c_0_78])).
% 124.23/18.96 cnf(c_0_132, plain, (p(i(i(X1,i(X2,X3)),i(i(X4,X2),i(X1,i(X4,X3)))))), inference(spm,[status(thm)],[c_0_55, c_0_46])).
% 124.23/18.96 cnf(c_0_133, plain, (p(i(i(i(i(f(X1,X2),X3),i(X2,X3)),X4),i(X1,X4)))), inference(spm,[status(thm)],[c_0_27, c_0_9])).
% 124.23/18.96 cnf(c_0_134, plain, (p(i(i(X1,X2),i(i(X3,X1),X2)))|~p(i(i(X1,X3),X3))), inference(spm,[status(thm)],[c_0_71, c_0_19])).
% 124.23/18.96 cnf(c_0_135, plain, (p(i(i(X1,X2),X2))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_8, c_0_19])).
% 124.23/18.96 cnf(c_0_136, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(X2,i(i(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_130, c_0_131])).
% 124.23/18.96 cnf(c_0_137, plain, (p(i(i(X1,i(X2,X3)),i(X4,i(X1,i(X5,X3)))))|~p(i(X4,i(X5,X2)))), inference(spm,[status(thm)],[c_0_12, c_0_132])).
% 124.23/18.96 cnf(c_0_138, plain, (p(i(i(X1,i(f(X2,X3),X4)),i(X2,i(X1,i(X3,X4)))))), inference(spm,[status(thm)],[c_0_55, c_0_133])).
% 124.23/18.96 cnf(c_0_139, plain, (p(i(i(i(X1,X2),X3),i(i(X1,i(X1,X2)),X3)))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_134, c_0_68])).
% 124.23/18.96 cnf(c_0_140, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(i(X1,X2),X2))), inference(spm,[status(thm)],[c_0_135, c_0_29])).
% 124.23/18.96 cnf(c_0_141, plain, (p(i(i(X1,i(X1,X2)),i(X1,X2)))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_135, c_0_68])).
% 124.23/18.96 cnf(c_0_142, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(i(X1,i(X2,i(X3,X4))),i(X3,X3)))), inference(spm,[status(thm)],[c_0_136, c_0_137])).
% 124.23/18.96 cnf(c_0_143, plain, (p(i(i(X1,i(f(X2,X3),X4)),i(X2,X5)))|~p(i(i(X1,i(X3,X4)),X5))), inference(spm,[status(thm)],[c_0_39, c_0_138])).
% 124.23/18.96 cnf(c_0_144, plain, (p(i(i(X1,i(X1,X2)),X2))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_58, c_0_139])).
% 124.23/18.96 cnf(c_0_145, plain, (p(i(i(i(X1,i(X1,X2)),X1),X1))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_140, c_0_141])).
% 124.23/18.96 cnf(c_0_146, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(i(X1,i(X2,i(X3,X4))),X3))), inference(spm,[status(thm)],[c_0_142, c_0_143])).
% 124.23/18.96 cnf(c_0_147, plain, (p(i(i(X1,X2),i(X1,i(X3,X4))))|~p(i(X2,i(X5,X4)))|~p(i(X3,X5))), inference(spm,[status(thm)],[c_0_48, c_0_10])).
% 124.23/18.96 cnf(c_0_148, plain, (p(i(i(X1,X2),i(X3,i(X1,f(X3,X2)))))), inference(spm,[status(thm)],[c_0_34, c_0_9])).
% 124.23/18.96 cnf(c_0_149, plain, (p(i(X1,X2))|~p(i(X3,i(X1,X4)))|~p(i(X4,X2))|~p(X3)), inference(spm,[status(thm)],[c_0_72, c_0_35])).
% 124.23/18.96 cnf(c_0_150, plain, (p(i(X1,X2))|~p(i(X1,i(X3,i(X3,X2))))|~p(i(i(X2,X3),X3))), inference(spm,[status(thm)],[c_0_11, c_0_144])).
% 124.23/18.96 cnf(c_0_151, plain, (p(i(i(X1,i(X1,i(X1,X2))),i(X1,i(X1,X2))))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_135, c_0_145])).
% 124.23/18.96 cnf(c_0_152, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(i(X2,i(i(X1,X3),X4)),X3))), inference(spm,[status(thm)],[c_0_146, c_0_29])).
% 124.23/18.96 cnf(c_0_153, plain, (p(i(i(X1,i(X2,X3)),i(X1,i(X4,X3))))|~p(i(X4,X2))), inference(spm,[status(thm)],[c_0_147, c_0_17])).
% 124.23/18.96 cnf(c_0_154, plain, (p(i(i(i(X1,i(X2,f(X1,f(X3,X2)))),X4),i(X3,X4)))), inference(spm,[status(thm)],[c_0_27, c_0_148])).
% 124.23/18.96 cnf(c_0_155, plain, (p(i(i(X1,X2),X3))|~p(i(i(X4,i(X1,X5)),X3))|~p(i(X4,i(X2,X5)))), inference(spm,[status(thm)],[c_0_149, c_0_132])).
% 124.23/18.96 cnf(c_0_156, plain, (p(i(i(X1,i(X1,i(X1,X2))),X2))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_150, c_0_151])).
% 124.23/18.96 cnf(c_0_157, plain, (p(i(i(i(X1,X1),X1),X1))|~p(i(X2,i(X1,i(X3,i(X2,X4)))))), inference(spm,[status(thm)],[c_0_152, c_0_153])).
% 124.23/18.96 cnf(c_0_158, plain, (p(i(i(X1,X2),i(X3,i(X1,i(X4,f(X2,f(X3,X4)))))))), inference(spm,[status(thm)],[c_0_55, c_0_154])).
% 124.23/18.96 cnf(c_0_159, plain, (p(i(i(X1,X2),X3))|~p(i(X1,i(X2,i(X1,X3))))|~p(i(i(X3,X1),X1))), inference(spm,[status(thm)],[c_0_155, c_0_156])).
% 124.23/18.96 cnf(c_0_160, plain, (p(i(i(i(X1,X1),X1),X1))), inference(spm,[status(thm)],[c_0_157, c_0_158])).
% 124.23/18.96 cnf(c_0_161, plain, (p(i(i(X1,X2),X2))|~p(i(i(i(X1,X3),X4),X1))|~p(i(i(X2,X3),X4))), inference(spm,[status(thm)],[c_0_28, c_0_76])).
% 124.23/18.96 cnf(c_0_162, plain, (p(i(i(i(i(i(X1,X2),X3),i(i(X4,X2),X3)),X5),i(i(X1,X4),X5)))), inference(spm,[status(thm)],[c_0_37, c_0_9])).
% 124.23/18.96 cnf(c_0_163, plain, (p(i(i(i(X1,X2),i(i(X1,X1),X1)),X2))|~p(i(i(X2,i(X1,X2)),i(X1,X2)))), inference(spm,[status(thm)],[c_0_159, c_0_65])).
% 124.23/18.96 cnf(c_0_164, plain, (p(i(i(X1,i(X1,X1)),i(X1,X1)))), inference(spm,[status(thm)],[c_0_135, c_0_160])).
% 124.23/18.96 cnf(c_0_165, plain, (p(i(i(i(i(X1,X2),X3),X4),X4))|~p(i(i(X4,i(i(X2,X2),X3)),X3))), inference(spm,[status(thm)],[c_0_161, c_0_162])).
% 124.23/18.96 cnf(c_0_166, plain, (p(i(i(i(X1,X1),i(i(X1,X1),X1)),X1))), inference(spm,[status(thm)],[c_0_163, c_0_164])).
% 124.23/18.96 cnf(c_0_167, plain, (p(i(X1,X2))|~p(i(i(X3,f(X1,X3)),X2))), inference(spm,[status(thm)],[c_0_8, c_0_30])).
% 124.23/18.96 cnf(c_0_168, plain, (p(i(i(i(i(X1,X2),X2),i(X2,X2)),i(X2,X2)))), inference(spm,[status(thm)],[c_0_165, c_0_166])).
% 124.23/18.96 cnf(c_0_169, plain, (p(i(X1,i(i(f(X1,i(X2,X3)),X3),i(i(X3,X2),X2))))), inference(spm,[status(thm)],[c_0_167, c_0_56])).
% 124.23/18.96 cnf(c_0_170, plain, (p(i(i(X1,X2),X3))|~p(i(i(X1,X4),X3))|~p(i(X2,X4))), inference(spm,[status(thm)],[c_0_8, c_0_59])).
% 124.23/18.96 cnf(c_0_171, plain, (p(i(i(X1,i(X2,X1)),i(X1,X1)))), inference(spm,[status(thm)],[c_0_55, c_0_168])).
% 124.23/18.96 cnf(c_0_172, plain, (p(i(X1,i(i(f(X1,i(X2,X3)),X3),X4)))|~p(i(i(i(X3,X2),X2),X4))), inference(spm,[status(thm)],[c_0_39, c_0_169])).
% 124.23/18.96 cnf(c_0_173, plain, (p(i(i(X1,X2),i(X1,X1)))|~p(i(X2,i(X3,X1)))), inference(spm,[status(thm)],[c_0_170, c_0_171])).
% 124.23/18.96 cnf(c_0_174, plain, (p(i(X1,i(i(f(X1,i(X2,X2)),X2),X2)))), inference(spm,[status(thm)],[c_0_172, c_0_160])).
% 124.23/18.96 cnf(c_0_175, plain, (p(i(X1,i(i(i(X2,X3),X3),X4)))|~p(i(X1,i(i(i(X3,X2),X2),X4)))), inference(spm,[status(thm)],[c_0_11, c_0_54])).
% 124.23/18.96 cnf(c_0_176, plain, (p(i(i(X1,X2),i(X1,X1)))), inference(spm,[status(thm)],[c_0_173, c_0_174])).
% 124.23/18.96 cnf(c_0_177, plain, (p(i(i(X1,X2),i(i(i(X3,X1),X1),i(i(X3,X2),X2))))), inference(spm,[status(thm)],[c_0_175, c_0_65])).
% 124.23/18.96 cnf(c_0_178, plain, (p(i(i(i(X1,X2),X1),X2))|~p(i(i(X2,i(X1,X2)),i(X1,X2)))), inference(spm,[status(thm)],[c_0_55, c_0_144])).
% 124.23/18.96 cnf(c_0_179, plain, (p(i(X1,X2))|~p(i(i(i(X1,X2),X2),X2))|~p(i(X1,i(X2,X2)))), inference(spm,[status(thm)],[c_0_122, c_0_96])).
% 124.23/18.96 cnf(c_0_180, plain, (p(i(X1,i(X2,X2)))), inference(spm,[status(thm)],[c_0_167, c_0_176])).
% 124.23/18.96 cnf(c_0_181, plain, (p(i(i(i(X1,X2),X2),i(X3,X1)))|~p(i(X3,i(X2,X1)))), inference(spm,[status(thm)],[c_0_12, c_0_19])).
% 124.23/18.96 cnf(c_0_182, plain, (p(i(i(X1,X2),i(i(i(X3,X1),X1),X4)))|~p(i(i(i(X3,X2),X2),X4))), inference(spm,[status(thm)],[c_0_39, c_0_177])).
% 124.23/18.96 cnf(c_0_183, plain, (p(i(i(i(X1,X2),X1),X2))|~p(i(i(i(X2,X1),X1),X2))), inference(spm,[status(thm)],[c_0_178, c_0_106])).
% 124.23/18.96 cnf(c_0_184, plain, (p(i(X1,X2))|~p(i(i(i(X1,X2),X2),X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179, c_0_180])])).
% 124.23/18.96 cnf(c_0_185, plain, (p(i(i(i(X1,X2),X2),i(i(X1,X3),X3)))|~p(i(i(X3,X1),i(X2,X1)))), inference(spm,[status(thm)],[c_0_22, c_0_181])).
% 124.23/18.96 cnf(c_0_186, plain, (p(i(i(X1,X2),i(i(i(X2,X1),X1),X2)))), inference(spm,[status(thm)],[c_0_182, c_0_160])).
% 124.23/18.96 cnf(c_0_187, plain, (p(i(i(X1,X2),i(X3,i(X1,X4))))|~p(i(X3,i(X2,X4)))), inference(spm,[status(thm)],[c_0_12, c_0_9])).
% 124.23/18.96 cnf(c_0_188, plain, (p(X1)|~p(i(i(X1,X2),X2))|~p(i(X3,X1))|~p(i(X2,X3))), inference(spm,[status(thm)],[c_0_72, c_0_131])).
% 124.23/18.96 cnf(c_0_189, plain, (p(i(i(i(X1,i(X2,X1)),X1),i(X2,X1)))|~p(i(X2,i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_183, c_0_10])).
% 124.23/18.96 cnf(c_0_190, plain, (p(i(X1,i(i(X1,X2),X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184, c_0_185]), c_0_186])])).
% 124.23/18.96 cnf(c_0_191, plain, (p(i(i(X1,X2),i(X3,i(X1,X4))))|~p(i(i(X5,f(X3,X5)),i(X2,X4)))), inference(spm,[status(thm)],[c_0_34, c_0_187])).
% 124.23/18.96 cnf(c_0_192, negated_conjecture, (~p(i(a,i(b,a)))), inference(fof_simplification,[status(thm)],[axK])).
% 124.23/18.96 cnf(c_0_193, plain, (p(X1)|~p(i(i(X1,X2),X3))|~p(i(i(X1,X2),X2))|~p(i(X3,X1))), inference(spm,[status(thm)],[c_0_188, c_0_29])).
% 124.23/18.96 cnf(c_0_194, plain, (p(i(i(i(X1,i(X2,X1)),X1),i(X2,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189, c_0_190])])).
% 124.23/18.96 cnf(c_0_195, plain, (p(i(i(i(X1,i(X2,X1)),X1),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118, c_0_190])])).
% 124.23/18.96 cnf(c_0_196, plain, (p(i(i(X1,X2),i(X3,i(X1,X2))))), inference(spm,[status(thm)],[c_0_191, c_0_180])).
% 124.23/18.96 cnf(c_0_197, negated_conjecture, (~p(i(a,i(b,a)))), c_0_192).
% 124.23/18.96 cnf(c_0_198, plain, (p(i(X1,i(X2,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_194]), c_0_195]), c_0_196])])).
% 124.23/18.96 cnf(c_0_199, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197, c_0_198])]), ['proof']).
% 124.23/18.96 % SZS output end Proof
% 124.23/18.96 % User time : 17.327 s
% 124.23/18.96 % System time : 0.657 s
% 124.23/18.96 % Total time : 17.984 s
% 124.23/18.96 % User time : 86.701 s
% 124.23/18.96 % System time : 2.006 s
% 124.23/18.96 % Total time : 88.707 s
% 124.23/18.96
%------------------------------------------------------------------------------