%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL927-1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n020.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 60.44s 9.25s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL927-1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n020.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 : Sat Sep 5 13:04:42 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.13/0.43 start to proof:theBenchmark.p
% 60.44/9.25 % Version : CSI_E---1.1
% 60.44/9.25 % Problem : theBenchmark.p
% 60.44/9.25 % Proof found!
% 60.44/9.25 # SZS status Unsatisfiable
% 60.44/9.25 % SZS output start Proof
% 60.44/9.25 cnf(modus_ponens, axiom, (p(X2)|~p(i(X1,X2))|~p(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', modus_ponens)).
% 60.44/9.25 cnf(axBp, axiom, (p(i(i(X1,X2),i(i(X2,X3),i(X1,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axBp)).
% 60.44/9.25 cnf(axTO, axiom, (p(i(i(i(X1,X2),i(X2,X1)),i(X2,X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axTO)).
% 60.44/9.25 cnf(axL, axiom, (p(i(i(i(X1,X2),X2),i(i(X2,X1),X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axL)).
% 60.44/9.25 cnf(resid2, axiom, (p(i(f(X1,X2),X3))|~p(i(X1,i(X2,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', resid2)).
% 60.44/9.25 cnf(resid1, axiom, (p(i(X1,i(X2,X3)))|~p(i(f(X1,X2),X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', resid1)).
% 60.44/9.25 cnf(axK_axC, negated_conjecture, (~p(i(c1,i(c2,c1)))|~p(i(i(X1,i(X2,X3)),i(X2,i(X1,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axK_axC)).
% 60.44/9.25 cnf(c_0_7, plain, (p(X2)|~p(i(X1,X2))|~p(X1)), inference(fof_simplification,[status(thm)],[modus_ponens])).
% 60.44/9.25 cnf(c_0_8, plain, (p(X2)|~p(i(X1,X2))|~p(X1)), c_0_7).
% 60.44/9.25 cnf(c_0_9, axiom, (p(i(i(X1,X2),i(i(X2,X3),i(X1,X3))))), axBp).
% 60.44/9.25 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])).
% 60.44/9.25 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])).
% 60.44/9.25 cnf(c_0_12, axiom, (p(i(i(i(X1,X2),i(X2,X1)),i(X2,X1)))), axTO).
% 60.44/9.25 cnf(c_0_13, 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])).
% 60.44/9.25 cnf(c_0_14, plain, (p(i(X1,i(X2,X3)))|~p(i(X1,i(i(X3,X2),i(X2,X3))))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 60.44/9.25 cnf(c_0_15, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(X3,X4))|~p(i(X4,X1))), inference(spm,[status(thm)],[c_0_13, c_0_10])).
% 60.44/9.25 cnf(c_0_16, plain, (p(i(X1,X2))|~p(i(i(X2,X1),i(X1,X2)))), inference(spm,[status(thm)],[c_0_8, c_0_12])).
% 60.44/9.25 cnf(c_0_17, plain, (p(i(i(X1,X1),i(X1,X1)))), inference(spm,[status(thm)],[c_0_14, c_0_9])).
% 60.44/9.25 cnf(c_0_18, 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_15, c_0_9])).
% 60.44/9.25 cnf(c_0_19, plain, (p(i(X1,X1))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 60.44/9.25 cnf(c_0_20, plain, (p(i(i(X1,i(X2,X3)),i(X2,X3)))|~p(i(i(X3,X2),X1))), inference(spm,[status(thm)],[c_0_14, c_0_10])).
% 60.44/9.25 cnf(c_0_21, plain, (p(i(i(i(i(X1,X2),i(X3,X2)),X4),i(i(X3,X1),X4)))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 60.44/9.25 cnf(c_0_22, plain, (p(i(X1,X2))|~p(i(X3,i(X1,X2)))|~p(i(i(X2,X1),X3))), inference(spm,[status(thm)],[c_0_8, c_0_20])).
% 60.44/9.25 cnf(c_0_23, axiom, (p(i(i(i(X1,X2),X2),i(i(X2,X1),X1)))), axL).
% 60.44/9.25 cnf(c_0_24, 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_21])).
% 60.44/9.25 cnf(c_0_25, plain, (p(i(i(X1,X2),X2))|~p(i(i(X2,i(X1,X2)),i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 60.44/9.25 cnf(c_0_26, plain, (p(i(i(X1,i(X2,X3)),i(i(X4,X2),i(X1,i(X4,X3)))))), inference(spm,[status(thm)],[c_0_24, c_0_21])).
% 60.44/9.25 cnf(c_0_27, plain, (p(i(i(i(X1,i(X1,X1)),X1),X1))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 60.44/9.25 cnf(c_0_28, plain, (p(i(f(X1,X2),X3))|~p(i(X1,i(X2,X3)))), inference(fof_simplification,[status(thm)],[resid2])).
% 60.44/9.25 cnf(c_0_29, 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])).
% 60.44/9.25 cnf(c_0_30, plain, (p(i(X1,X2))|~p(i(X1,i(i(X2,i(X2,X2)),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_27])).
% 60.44/9.25 cnf(c_0_31, plain, (p(i(f(X1,X2),X3))|~p(i(X1,i(X2,X3)))), c_0_28).
% 60.44/9.25 cnf(c_0_32, 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_29])).
% 60.44/9.25 cnf(c_0_33, plain, (p(i(X1,i(X2,X3)))|~p(i(f(X1,X2),X3))), inference(fof_simplification,[status(thm)],[resid1])).
% 60.44/9.25 cnf(c_0_34, plain, (p(i(f(X1,X2),X3))|~p(i(X1,i(X2,i(i(X3,i(X3,X3)),X3))))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 60.44/9.25 cnf(c_0_35, plain, (p(i(i(X1,X2),i(X3,i(X1,X4))))|~p(i(X3,i(X2,X4)))), inference(spm,[status(thm)],[c_0_13, c_0_9])).
% 60.44/9.25 cnf(c_0_36, plain, (p(i(i(i(X1,X2),X3),i(i(X4,X2),X3)))|~p(i(X1,X4))), inference(spm,[status(thm)],[c_0_32, c_0_9])).
% 60.44/9.25 cnf(c_0_37, plain, (p(i(X1,i(X2,X3)))|~p(i(f(X1,X2),X3))), c_0_33).
% 60.44/9.25 cnf(c_0_38, plain, (p(i(f(i(i(X1,i(X1,X1)),X2),i(X2,X1)),X1))), inference(spm,[status(thm)],[c_0_34, c_0_9])).
% 60.44/9.25 cnf(c_0_39, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(i(X3,X1),i(X2,X3)))), inference(spm,[status(thm)],[c_0_14, c_0_35])).
% 60.44/9.25 cnf(c_0_40, 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_36])).
% 60.44/9.25 cnf(c_0_41, plain, (p(i(i(i(X1,i(X1,X1)),X2),i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 60.44/9.25 cnf(c_0_42, plain, (p(i(i(X1,X2),i(X1,X1)))|~p(i(X2,X1))), inference(spm,[status(thm)],[c_0_39, c_0_10])).
% 60.44/9.25 cnf(c_0_43, plain, (p(i(i(i(X1,X2),i(X2,X3)),i(X2,X3)))|~p(i(X1,X3))), inference(spm,[status(thm)],[c_0_14, c_0_36])).
% 60.44/9.25 cnf(c_0_44, plain, (p(i(i(X1,X2),i(i(X2,X3),X3)))|~p(i(i(X3,i(X3,X3)),X1))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 60.44/9.25 cnf(c_0_45, plain, (p(i(i(i(X1,X1),X2),i(X1,X1)))|~p(i(X2,i(X1,X1)))), inference(spm,[status(thm)],[c_0_14, c_0_42])).
% 60.44/9.25 cnf(c_0_46, plain, (p(i(X1,X2))|~p(i(i(X3,X1),i(X1,X2)))|~p(i(X3,X2))), inference(spm,[status(thm)],[c_0_8, c_0_43])).
% 60.44/9.25 cnf(c_0_47, 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_23])).
% 60.44/9.25 cnf(c_0_48, plain, (p(i(i(i(X1,X1),X2),i(i(X2,i(X1,X1)),i(X1,X1))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_12])])).
% 60.44/9.25 cnf(c_0_49, plain, (p(i(X1,i(X2,X3)))|~p(i(X2,i(X2,X3)))|~p(i(X1,i(X1,X3)))), inference(spm,[status(thm)],[c_0_46, c_0_35])).
% 60.44/9.25 cnf(c_0_50, plain, (p(i(i(i(X1,X1),X2),i(i(i(X1,X1),X2),X2)))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 60.44/9.25 cnf(c_0_51, plain, (p(i(X1,i(i(i(X2,X2),X3),X3)))|~p(i(X1,i(X1,X3)))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 60.44/9.25 cnf(c_0_52, plain, (p(i(i(X1,X2),i(i(X2,X3),X3)))|~p(i(i(X3,X2),X1))), inference(spm,[status(thm)],[c_0_47, c_0_10])).
% 60.44/9.25 cnf(c_0_53, plain, (p(i(i(i(X1,X1),X2),i(i(i(X3,X3),X2),X2)))), inference(spm,[status(thm)],[c_0_51, c_0_50])).
% 60.44/9.25 cnf(c_0_54, 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_52])).
% 60.44/9.25 cnf(c_0_55, plain, (p(i(i(X1,X2),X2))|~p(i(i(X2,X1),X1))), inference(spm,[status(thm)],[c_0_8, c_0_23])).
% 60.44/9.25 cnf(c_0_56, plain, (p(i(i(i(X1,X1),X2),i(X3,X2)))|~p(i(X3,i(i(X4,X4),X2)))), inference(spm,[status(thm)],[c_0_13, c_0_53])).
% 60.44/9.25 cnf(c_0_57, plain, (p(i(i(X1,X2),X2))|~p(i(i(i(X1,X3),i(X2,X3)),X1))), inference(spm,[status(thm)],[c_0_54, c_0_9])).
% 60.44/9.25 cnf(c_0_58, plain, (p(i(i(i(X1,X2),X3),X3))|~p(i(i(X2,X1),X3))), inference(spm,[status(thm)],[c_0_55, c_0_20])).
% 60.44/9.25 cnf(c_0_59, plain, (p(i(i(i(X1,X1),i(X2,X3)),i(i(X2,X3),i(X2,X3))))), inference(spm,[status(thm)],[c_0_56, c_0_9])).
% 60.44/9.25 cnf(c_0_60, 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_57, c_0_58])).
% 60.44/9.25 cnf(c_0_61, 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_54, c_0_23])).
% 60.44/9.25 cnf(c_0_62, plain, (p(i(i(i(i(X1,X2),i(X1,X2)),X3),i(i(X1,X2),X3)))), inference(spm,[status(thm)],[c_0_18, c_0_59])).
% 60.44/9.25 cnf(c_0_63, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(i(i(X2,X1),X1),X2))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
% 60.44/9.25 cnf(c_0_64, plain, (p(i(i(X1,X2),X3))|~p(i(i(i(X1,X2),i(X1,X2)),X3))), inference(spm,[status(thm)],[c_0_8, c_0_62])).
% 60.44/9.25 cnf(c_0_65, 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_63, c_0_10])).
% 60.44/9.25 cnf(c_0_66, plain, (p(i(i(X1,i(X1,X1)),i(i(i(X1,i(X1,X1)),X1),X1)))), inference(spm,[status(thm)],[c_0_64, c_0_41])).
% 60.44/9.25 cnf(c_0_67, plain, (p(i(i(i(X1,i(X1,X1)),X2),i(i(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_47, c_0_41])).
% 60.44/9.25 cnf(c_0_68, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(i(X3,X2),i(X1,X3)))), inference(spm,[status(thm)],[c_0_24, c_0_58])).
% 60.44/9.25 cnf(c_0_69, plain, (p(i(i(i(X1,i(i(X1,i(X1,X1)),X1)),X1),X1))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 60.44/9.25 cnf(c_0_70, plain, (p(i(i(i(X1,X2),X1),X1))|~p(i(i(X2,X1),i(i(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_57, c_0_20])).
% 60.44/9.25 cnf(c_0_71, plain, (p(i(X1,i(X2,f(X1,X2))))), inference(spm,[status(thm)],[c_0_37, c_0_19])).
% 60.44/9.25 cnf(c_0_72, 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_15, c_0_23])).
% 60.44/9.25 cnf(c_0_73, plain, (p(i(i(X1,X2),i(i(X3,X2),X2)))|~p(i(i(X3,i(X3,X3)),X1))), inference(spm,[status(thm)],[c_0_40, c_0_67])).
% 60.44/9.25 cnf(c_0_74, 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_68, c_0_61])).
% 60.44/9.25 cnf(c_0_75, plain, (p(i(i(X1,X2),X2))|~p(i(i(X2,i(i(X2,i(X2,X2)),X2)),X1))), inference(spm,[status(thm)],[c_0_40, c_0_69])).
% 60.44/9.25 cnf(c_0_76, plain, (p(i(i(i(X1,i(X2,X2)),X1),X1))), inference(spm,[status(thm)],[c_0_70, c_0_48])).
% 60.44/9.25 cnf(c_0_77, plain, (p(i(X1,i(X2,f(X3,X2))))|~p(i(X1,X3))), inference(spm,[status(thm)],[c_0_11, c_0_71])).
% 60.44/9.25 cnf(c_0_78, plain, (p(i(i(i(i(X1,X2),X2),X3),i(i(i(X2,X1),X1),X3)))), inference(spm,[status(thm)],[c_0_72, c_0_19])).
% 60.44/9.25 cnf(c_0_79, plain, (p(i(i(i(X1,X1),X2),i(i(X1,X2),X2)))|~p(i(i(i(X1,X1),X1),X1))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
% 60.44/9.25 cnf(c_0_80, plain, (p(i(i(i(X1,X1),X1),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_42]), c_0_76])])).
% 60.44/9.25 cnf(c_0_81, plain, (p(i(X1,f(X2,X1)))|~p(i(X3,X2))|~p(X3)), inference(spm,[status(thm)],[c_0_8, c_0_77])).
% 60.44/9.25 cnf(c_0_82, plain, (p(i(i(i(i(X1,X2),X2),X3),i(X4,X3)))|~p(i(X4,i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_13, c_0_78])).
% 60.44/9.25 cnf(c_0_83, plain, (p(i(i(i(X1,X1),X2),i(i(X1,X2),X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80])])).
% 60.44/9.25 cnf(c_0_84, plain, (p(i(i(X1,i(X1,X1)),i(X1,X1)))), inference(spm,[status(thm)],[c_0_55, c_0_80])).
% 60.44/9.25 cnf(c_0_85, plain, (p(i(X1,f(i(X2,X3),X1)))|~p(i(i(X3,X2),i(X2,X3)))), inference(spm,[status(thm)],[c_0_81, c_0_12])).
% 60.44/9.25 cnf(c_0_86, plain, (p(i(i(i(i(X1,X2),X2),X3),i(i(i(X2,X2),X1),X3)))), inference(spm,[status(thm)],[c_0_82, c_0_83])).
% 60.44/9.25 cnf(c_0_87, plain, (p(i(i(i(X1,X1),X2),i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_44, c_0_84])).
% 60.44/9.25 cnf(c_0_88, plain, (p(X1)|~p(i(X2,i(X3,X1)))|~p(f(X2,X3))), inference(spm,[status(thm)],[c_0_8, c_0_31])).
% 60.44/9.25 cnf(c_0_89, plain, (p(i(X1,f(i(X2,X2),X1)))), inference(spm,[status(thm)],[c_0_85, c_0_19])).
% 60.44/9.25 cnf(c_0_90, plain, (p(i(i(i(X1,X1),X2),X3))|~p(i(i(i(X2,X1),X1),X3))), inference(spm,[status(thm)],[c_0_8, c_0_86])).
% 60.44/9.25 cnf(c_0_91, plain, (p(i(i(i(i(i(X1,X2),X2),X2),X3),i(i(X1,X2),X3)))), inference(spm,[status(thm)],[c_0_18, c_0_87])).
% 60.44/9.25 cnf(c_0_92, plain, (p(f(X1,X2))|~p(f(X3,X2))|~p(i(X3,X1))), inference(spm,[status(thm)],[c_0_88, c_0_77])).
% 60.44/9.25 cnf(c_0_93, plain, (p(f(i(X1,X1),X2))|~p(X2)), inference(spm,[status(thm)],[c_0_8, c_0_89])).
% 60.44/9.25 cnf(c_0_94, plain, (p(i(i(i(X1,X1),i(i(X2,X1),X1)),i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 60.44/9.25 cnf(c_0_95, plain, (p(f(X1,X2))|~p(i(i(X3,X3),X1))|~p(X2)), inference(spm,[status(thm)],[c_0_92, c_0_93])).
% 60.44/9.25 cnf(c_0_96, plain, (p(i(i(i(i(X1,X2),X2),i(X2,X2)),i(X2,X2)))), inference(spm,[status(thm)],[c_0_55, c_0_94])).
% 60.44/9.25 cnf(c_0_97, plain, (p(i(X1,X2))|~p(f(i(X1,X3),i(X3,X2)))), inference(spm,[status(thm)],[c_0_88, c_0_9])).
% 60.44/9.25 cnf(c_0_98, plain, (p(f(i(X1,f(i(X2,X2),X1)),X3))|~p(X3)), inference(spm,[status(thm)],[c_0_95, c_0_71])).
% 60.44/9.25 cnf(c_0_99, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(i(X4,f(X3,X4)),X1))), inference(spm,[status(thm)],[c_0_15, c_0_71])).
% 60.44/9.25 cnf(c_0_100, plain, (p(i(i(i(X1,X1),X2),X1))|~p(i(i(X1,X2),X1))), inference(spm,[status(thm)],[c_0_90, c_0_58])).
% 60.44/9.25 cnf(c_0_101, plain, (p(i(i(X1,i(X2,X1)),i(X1,X1)))), inference(spm,[status(thm)],[c_0_24, c_0_96])).
% 60.44/9.25 cnf(c_0_102, plain, (p(i(X1,f(X2,X1)))|~p(X2)), inference(spm,[status(thm)],[c_0_8, c_0_71])).
% 60.44/9.25 cnf(c_0_103, plain, (p(i(X1,X2))|~p(i(f(i(X3,X3),X1),X2))), inference(spm,[status(thm)],[c_0_97, c_0_98])).
% 60.44/9.25 cnf(c_0_104, plain, (p(i(i(i(i(f(X1,X2),X3),i(X2,X3)),X4),i(X1,X4)))), inference(spm,[status(thm)],[c_0_99, c_0_9])).
% 60.44/9.25 cnf(c_0_105, plain, (p(i(i(X1,X2),X2))|~p(i(i(X2,i(X1,X2)),X2))), inference(spm,[status(thm)],[c_0_24, c_0_100])).
% 60.44/9.25 cnf(c_0_106, plain, (p(i(i(i(X1,X1),i(X2,i(X1,X1))),i(X1,X1)))), inference(spm,[status(thm)],[c_0_14, c_0_101])).
% 60.44/9.25 cnf(c_0_107, plain, (p(X1)|~p(f(i(X2,X1),X3))|~p(i(X3,X2))), inference(spm,[status(thm)],[c_0_88, c_0_10])).
% 60.44/9.25 cnf(c_0_108, plain, (p(f(X1,X2))|~p(X2)|~p(X1)), inference(spm,[status(thm)],[c_0_8, c_0_102])).
% 60.44/9.25 cnf(c_0_109, plain, (p(i(i(i(X1,f(X2,X1)),X3),i(X2,X3)))), inference(spm,[status(thm)],[c_0_99, c_0_19])).
% 60.44/9.25 cnf(c_0_110, plain, (p(i(X1,X2))|~p(i(i(X3,X3),i(X1,X2)))), inference(spm,[status(thm)],[c_0_103, c_0_31])).
% 60.44/9.25 cnf(c_0_111, plain, (p(i(X1,X2))|~p(i(i(i(f(X1,X3),X4),i(X3,X4)),X2))), inference(spm,[status(thm)],[c_0_8, c_0_104])).
% 60.44/9.25 cnf(c_0_112, plain, (p(i(i(X1,i(X2,X2)),i(X2,X2)))), inference(spm,[status(thm)],[c_0_105, c_0_106])).
% 60.44/9.25 cnf(c_0_113, plain, (p(X1)|~p(i(X2,X3))|~p(i(X3,X1))|~p(X2)), inference(spm,[status(thm)],[c_0_107, c_0_108])).
% 60.44/9.25 cnf(c_0_114, 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_109])).
% 60.44/9.25 cnf(c_0_115, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(i(X4,X4),i(X3,X1)))), inference(spm,[status(thm)],[c_0_110, c_0_29])).
% 60.44/9.25 cnf(c_0_116, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(f(i(X4,X4),X3),X1))), inference(spm,[status(thm)],[c_0_15, c_0_89])).
% 60.44/9.25 cnf(c_0_117, plain, (p(i(X1,i(X2,X2)))), inference(spm,[status(thm)],[c_0_111, c_0_112])).
% 60.44/9.25 cnf(c_0_118, plain, (p(X1)|~p(i(f(i(X2,X2),X3),X1))|~p(X3)), inference(spm,[status(thm)],[c_0_113, c_0_89])).
% 60.44/9.25 cnf(c_0_119, plain, (p(i(X1,X2))|~p(i(i(X3,f(X1,X3)),X2))), inference(spm,[status(thm)],[c_0_8, c_0_109])).
% 60.44/9.25 cnf(c_0_120, plain, (p(i(i(i(f(X1,X2),X2),X2),i(X1,f(X1,X2))))), inference(spm,[status(thm)],[c_0_114, c_0_23])).
% 60.44/9.25 cnf(c_0_121, plain, (p(i(i(f(i(X1,X1),X2),X3),i(X2,X3)))), inference(spm,[status(thm)],[c_0_115, c_0_71])).
% 60.44/9.25 cnf(c_0_122, plain, (p(i(i(i(X1,X1),X2),i(X3,X2)))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
% 60.44/9.25 cnf(c_0_123, plain, (p(X1)|~p(i(i(X2,X2),i(X3,X1)))|~p(X3)), inference(spm,[status(thm)],[c_0_118, c_0_31])).
% 60.44/9.25 cnf(c_0_124, plain, (p(i(X1,i(X2,i(X3,X4))))|~p(i(X2,i(f(X1,X3),X4)))), inference(spm,[status(thm)],[c_0_119, c_0_35])).
% 60.44/9.25 cnf(c_0_125, plain, (p(i(X1,f(X1,X2)))|~p(i(i(f(X1,X2),X2),X2))), inference(spm,[status(thm)],[c_0_8, c_0_120])).
% 60.44/9.25 cnf(c_0_126, plain, (p(i(i(f(i(X1,X1),i(X2,X3)),i(X3,X2)),i(X3,X2)))), inference(spm,[status(thm)],[c_0_14, c_0_121])).
% 60.44/9.25 cnf(c_0_127, plain, (p(i(i(X1,X2),i(i(i(X1,X2),X2),X2)))), inference(spm,[status(thm)],[c_0_24, c_0_87])).
% 60.44/9.25 cnf(c_0_128, plain, (p(i(i(X1,X2),i(X3,i(X1,X2))))), inference(spm,[status(thm)],[c_0_24, c_0_122])).
% 60.44/9.25 cnf(c_0_129, plain, (p(i(X1,X2))|~p(i(i(X3,X3),i(X1,X4)))|~p(i(X4,X2))), inference(spm,[status(thm)],[c_0_123, c_0_29])).
% 60.44/9.25 cnf(c_0_130, plain, (p(i(X1,i(i(i(X2,X2),X3),i(X4,X3))))), inference(spm,[status(thm)],[c_0_124, c_0_122])).
% 60.44/9.25 cnf(c_0_131, plain, (p(i(X1,X2))|~p(i(X1,f(X3,X4)))|~p(i(X3,i(X4,X2)))), inference(spm,[status(thm)],[c_0_11, c_0_31])).
% 60.44/9.25 cnf(c_0_132, plain, (p(i(i(X1,X1),f(i(X1,X1),i(X2,X2))))), inference(spm,[status(thm)],[c_0_125, c_0_126])).
% 60.44/9.25 cnf(c_0_133, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(X3,i(i(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_13, c_0_127])).
% 60.44/9.25 cnf(c_0_134, plain, (p(i(i(X1,X2),i(i(i(X1,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_47, c_0_128])).
% 60.44/9.25 cnf(c_0_135, plain, (p(i(i(i(X1,X1),X2),X3))|~p(i(i(X4,X2),X3))), inference(spm,[status(thm)],[c_0_129, c_0_130])).
% 60.44/9.25 cnf(c_0_136, plain, (p(i(i(X1,X1),X2))|~p(i(i(X1,X1),i(i(X3,X3),X2)))), inference(spm,[status(thm)],[c_0_131, c_0_132])).
% 60.44/9.25 cnf(c_0_137, plain, (p(X1)|~p(f(i(i(X1,X2),X2),i(X2,X1)))), inference(spm,[status(thm)],[c_0_88, c_0_23])).
% 60.44/9.25 cnf(c_0_138, plain, (p(i(i(X1,X2),i(i(i(X2,X1),X1),X2)))), inference(spm,[status(thm)],[c_0_133, c_0_23])).
% 60.44/9.25 cnf(c_0_139, plain, (p(i(i(X1,i(i(X2,X1),X2)),i(X1,X2)))), inference(spm,[status(thm)],[c_0_39, c_0_134])).
% 60.44/9.25 cnf(c_0_140, plain, (p(i(i(i(X1,X1),X2),i(X3,i(X4,X2))))), inference(spm,[status(thm)],[c_0_135, c_0_128])).
% 60.44/9.25 cnf(c_0_141, plain, (p(i(i(X1,X1),i(X1,X2)))|~p(i(i(X3,X3),i(X1,X2)))), inference(spm,[status(thm)],[c_0_136, c_0_35])).
% 60.44/9.25 cnf(c_0_142, plain, (p(X1)|~p(i(i(X1,X2),X2))|~p(i(X2,X1))), inference(spm,[status(thm)],[c_0_137, c_0_108])).
% 60.44/9.25 cnf(c_0_143, plain, (p(i(i(X1,X2),i(X3,X2)))|~p(i(X3,i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_13, c_0_138])).
% 60.44/9.25 cnf(c_0_144, plain, (p(i(i(i(X1,i(X2,X1)),X2),i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_24, c_0_139])).
% 60.44/9.25 cnf(c_0_145, plain, (p(i(i(X1,X2),i(X3,i(X4,i(X1,X2)))))), inference(spm,[status(thm)],[c_0_24, c_0_140])).
% 60.44/9.25 cnf(c_0_146, plain, (p(i(i(X1,X1),i(X1,X2)))|~p(i(X1,X2))), inference(spm,[status(thm)],[c_0_141, c_0_10])).
% 60.44/9.25 cnf(c_0_147, plain, (p(i(X1,i(i(X2,X3),i(X4,X3))))|~p(i(f(X1,X4),X2))), inference(spm,[status(thm)],[c_0_124, c_0_10])).
% 60.44/9.25 cnf(c_0_148, plain, (p(i(i(X1,X2),i(i(X3,X1),X2)))|~p(i(i(X1,X3),X3))), inference(spm,[status(thm)],[c_0_115, c_0_52])).
% 60.44/9.25 cnf(c_0_149, plain, (p(X1)|~p(i(i(X2,X3),X1))|~p(i(i(X3,X2),X1))), inference(spm,[status(thm)],[c_0_142, c_0_20])).
% 60.44/9.25 cnf(c_0_150, plain, (p(i(i(X1,X2),i(i(i(X1,i(X2,X1)),X2),X2)))), inference(spm,[status(thm)],[c_0_143, c_0_144])).
% 60.44/9.25 cnf(c_0_151, plain, (p(i(i(X1,X2),i(i(i(X3,i(X1,X2)),X4),X4)))), inference(spm,[status(thm)],[c_0_47, c_0_145])).
% 60.44/9.25 cnf(c_0_152, plain, (p(i(X1,i(X2,X3)))|~p(i(X1,i(X2,X2)))|~p(i(X2,X3))), inference(spm,[status(thm)],[c_0_11, c_0_146])).
% 60.44/9.25 cnf(c_0_153, plain, (p(i(X1,X2))|~p(i(f(i(X3,X3),X1),X4))|~p(i(X4,X2))), inference(spm,[status(thm)],[c_0_123, c_0_147])).
% 60.44/9.25 cnf(c_0_154, plain, (p(i(i(X1,X2),i(i(i(X1,X3),X1),X2)))|~p(i(i(i(X3,X1),X1),X3))), inference(spm,[status(thm)],[c_0_148, c_0_74])).
% 60.44/9.25 cnf(c_0_155, plain, (p(i(i(i(X1,i(X2,X1)),X2),X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_151])])).
% 60.44/9.25 cnf(c_0_156, plain, (p(i(X1,i(X2,X3)))|~p(i(X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152, c_0_117])])).
% 60.44/9.25 cnf(c_0_157, plain, (p(i(X1,X2))|~p(i(i(X3,X3),X2))), inference(spm,[status(thm)],[c_0_153, c_0_117])).
% 60.44/9.25 cnf(c_0_158, plain, (p(i(i(X1,X2),i(i(i(X1,i(i(X3,X1),X1)),X1),X2)))), inference(spm,[status(thm)],[c_0_154, c_0_91])).
% 60.44/9.25 cnf(c_0_159, plain, (p(X1)|~p(i(i(X2,i(X1,X2)),X1))), inference(spm,[status(thm)],[c_0_8, c_0_155])).
% 60.44/9.25 cnf(c_0_160, plain, (p(i(i(X1,X2),i(X1,X3)))|~p(i(X2,X3))), inference(spm,[status(thm)],[c_0_39, c_0_156])).
% 60.44/9.25 cnf(c_0_161, plain, (p(i(X1,i(i(i(X2,i(i(X3,X2),X2)),X2),X2)))), inference(spm,[status(thm)],[c_0_157, c_0_158])).
% 60.44/9.25 cnf(c_0_162, negated_conjecture, (~p(i(c1,i(c2,c1)))|~p(i(i(X1,i(X2,X3)),i(X2,i(X1,X3))))), inference(fof_simplification,[status(thm)],[axK_axC])).
% 60.44/9.25 cnf(c_0_163, plain, (p(i(i(X1,i(X2,X3)),i(i(i(X3,X2),X2),i(X1,X3))))), inference(spm,[status(thm)],[c_0_24, c_0_78])).
% 60.44/9.25 cnf(c_0_164, plain, (p(i(X1,X2))|~p(i(i(i(X1,X2),X1),X2))), inference(spm,[status(thm)],[c_0_159, c_0_160])).
% 60.44/9.25 cnf(c_0_165, plain, (p(i(i(i(X1,i(i(X2,X1),X1)),X1),i(X3,X1)))), inference(spm,[status(thm)],[c_0_133, c_0_161])).
% 60.44/9.25 cnf(c_0_166, negated_conjecture, (~p(i(c1,i(c2,c1)))|~p(i(i(X1,i(X2,X3)),i(X2,i(X1,X3))))), c_0_162).
% 60.44/9.25 cnf(c_0_167, plain, (p(X1)|~p(i(f(i(X2,X2),X3),X4))|~p(i(i(X3,X4),X1))), inference(spm,[status(thm)],[c_0_113, c_0_121])).
% 60.44/9.25 cnf(c_0_168, plain, (p(i(i(X1,i(X2,X3)),i(X4,i(X1,X3))))|~p(i(X4,i(i(X3,X2),X2)))), inference(spm,[status(thm)],[c_0_13, c_0_163])).
% 60.44/9.25 cnf(c_0_169, plain, (p(i(X1,i(i(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_164, c_0_165])).
% 60.44/9.25 cnf(c_0_170, negated_conjecture, (~p(i(c1,i(c2,c1)))|~p(i(X1,X1))), inference(spm,[status(thm)],[c_0_166, c_0_10])).
% 60.44/9.25 cnf(c_0_171, plain, (p(X1)|~p(i(i(X2,i(X3,X3)),X1))), inference(spm,[status(thm)],[c_0_167, c_0_117])).
% 60.44/9.25 cnf(c_0_172, plain, (p(i(i(X1,i(X2,X3)),i(X2,i(X1,X3))))), inference(spm,[status(thm)],[c_0_168, c_0_169])).
% 60.44/9.25 cnf(c_0_173, negated_conjecture, (~p(i(c1,i(c2,c1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170, c_0_19])])).
% 60.44/9.25 cnf(c_0_174, plain, (p(i(X1,i(X2,X1)))), inference(spm,[status(thm)],[c_0_171, c_0_172])).
% 60.44/9.25 cnf(c_0_175, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173, c_0_174])]), ['proof']).
% 60.44/9.25 % SZS output end Proof
% 60.44/9.25 % User time : 8.305 s
% 60.44/9.25 % System time : 0.337 s
% 60.44/9.25 % Total time : 8.642 s
% 60.44/9.25 % User time : 8.306 s
% 60.44/9.25 % System time : 0.341 s
% 60.44/9.25 % Total time : 8.647 s
% 60.44/9.25
%------------------------------------------------------------------------------