TSTP Solution File: LAT082-1 by CSE_E---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.6
% Problem : LAT082-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jun 18 07:56:49 EDT 2024
% Result : Unsatisfiable 63.06s 60.92s
% Output : CNFRefutation 63.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT082-1 : TPTP v8.2.0. Released v2.6.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.31 % Computer : n013.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Jun 18 00:47:24 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.17/0.54 start to proof: theBenchmark
% 63.06/60.92 % Version : CSE_E---1.6
% 63.06/60.92 % Problem : theBenchmark.p
% 63.06/60.92 % Proof found
% 63.06/60.92 % SZS status Theorem for theBenchmark.p
% 63.06/60.92 % SZS output start Proof
% 63.06/60.92 [4]~E(f1(f1(a3,a4),a5),f1(a3,f1(a4,a5)))
% 63.06/60.92 [3]E(f2(f1(f2(f1(x31,x32),f1(x32,f2(x31,x32))),x33),f1(f2(f1(x31,f2(f2(f1(x34,x32),f1(x32,x35)),x32)),f1(f2(f1(x32,f1(f1(f2(x34,f2(x32,x35)),f2(x36,x32)),x32)),f1(x37,f2(x32,f1(f1(f2(x34,f2(x32,x35)),f2(x36,x32)),x32)))),f2(x31,f2(f2(f1(x34,x32),f1(x32,x35)),x32)))),f2(f2(f1(x31,x32),f1(x32,f2(x31,x32))),x33))),x32)
% 63.06/60.92 [5]E(x51,x51)
% 63.06/60.92 [6]E(x62,x61)+~E(x61,x62)
% 63.06/60.92 [7]E(x71,x73)+~E(x71,x72)+~E(x72,x73)
% 63.06/60.92 [8]~E(x81,x82)+E(f1(x81,x83),f1(x82,x83))
% 63.06/60.92 [9]~E(x91,x92)+E(f1(x93,x91),f1(x93,x92))
% 63.06/60.92 [10]~E(x101,x102)+E(f2(x101,x103),f2(x102,x103))
% 63.06/60.92 [11]~E(x111,x112)+E(f2(x113,x111),f2(x113,x112))
% 63.06/60.92 cnf(12,plain,
% 63.06/60.92 (~E(f1(a3,f1(a4,a5)),f1(f1(a3,a4),a5))),
% 63.06/60.92 inference(scs_inference,[],[4,6])).
% 63.06/60.92 cnf(13,plain,
% 63.06/60.92 (~E(f1(a3,f1(a4,a5)),f2(f1(f2(f1(x131,f1(f1(a3,a4),a5)),f1(f1(f1(a3,a4),a5),f2(x131,f1(f1(a3,a4),a5)))),x132),f1(f2(f1(x131,f2(f2(f1(x133,f1(f1(a3,a4),a5)),f1(f1(f1(a3,a4),a5),x134)),f1(f1(a3,a4),a5))),f1(f2(f1(f1(f1(a3,a4),a5),f1(f1(f2(x133,f2(f1(f1(a3,a4),a5),x134)),f2(x135,f1(f1(a3,a4),a5))),f1(f1(a3,a4),a5))),f1(x136,f2(f1(f1(a3,a4),a5),f1(f1(f2(x133,f2(f1(f1(a3,a4),a5),x134)),f2(x135,f1(f1(a3,a4),a5))),f1(f1(a3,a4),a5))))),f2(x131,f2(f2(f1(x133,f1(f1(a3,a4),a5)),f1(f1(f1(a3,a4),a5),x134)),f1(f1(a3,a4),a5))))),f2(f2(f1(x131,f1(f1(a3,a4),a5)),f1(f1(f1(a3,a4),a5),f2(x131,f1(f1(a3,a4),a5)))),x132))))),
% 63.06/60.92 inference(scs_inference,[],[3,12,7])).
% 63.06/60.92 cnf(14,plain,
% 63.06/60.92 (E(f2(f1(f2(f1(x141,x142),f1(x142,f2(x141,x142))),x143),f1(f2(f1(x141,f2(f2(f1(x144,x142),f1(x142,x145)),x142)),f1(f2(f1(x142,f1(f1(f2(x144,f2(x142,x145)),f2(x146,x142)),x142)),f1(x147,f2(x142,f1(f1(f2(x144,f2(x142,x145)),f2(x146,x142)),x142)))),f2(x141,f2(f2(f1(x144,x142),f1(x142,x145)),x142)))),f2(f2(f1(x141,x142),f1(x142,f2(x141,x142))),x143))),x142)),
% 63.06/60.92 inference(rename_variables,[],[3])).
% 63.06/60.92 cnf(15,plain,
% 63.06/60.92 (~E(f1(f1(a3,a4),a5),f2(f1(f2(f1(x151,f1(a3,f1(a4,a5))),f1(f1(a3,f1(a4,a5)),f2(x151,f1(a3,f1(a4,a5))))),x152),f1(f2(f1(x151,f2(f2(f1(x153,f1(a3,f1(a4,a5))),f1(f1(a3,f1(a4,a5)),x154)),f1(a3,f1(a4,a5)))),f1(f2(f1(f1(a3,f1(a4,a5)),f1(f1(f2(x153,f2(f1(a3,f1(a4,a5)),x154)),f2(x155,f1(a3,f1(a4,a5)))),f1(a3,f1(a4,a5)))),f1(x156,f2(f1(a3,f1(a4,a5)),f1(f1(f2(x153,f2(f1(a3,f1(a4,a5)),x154)),f2(x155,f1(a3,f1(a4,a5)))),f1(a3,f1(a4,a5)))))),f2(x151,f2(f2(f1(x153,f1(a3,f1(a4,a5))),f1(f1(a3,f1(a4,a5)),x154)),f1(a3,f1(a4,a5)))))),f2(f2(f1(x151,f1(a3,f1(a4,a5))),f1(f1(a3,f1(a4,a5)),f2(x151,f1(a3,f1(a4,a5))))),x152))))),
% 63.06/60.92 inference(scs_inference,[],[3,4,7])).
% 63.06/60.92 cnf(16,plain,
% 63.06/60.92 (E(f2(f1(f2(f1(x161,x162),f1(x162,f2(x161,x162))),x163),f1(f2(f1(x161,f2(f2(f1(x164,x162),f1(x162,x165)),x162)),f1(f2(f1(x162,f1(f1(f2(x164,f2(x162,x165)),f2(x166,x162)),x162)),f1(x167,f2(x162,f1(f1(f2(x164,f2(x162,x165)),f2(x166,x162)),x162)))),f2(x161,f2(f2(f1(x164,x162),f1(x162,x165)),x162)))),f2(f2(f1(x161,x162),f1(x162,f2(x161,x162))),x163))),x162)),
% 63.06/60.92 inference(rename_variables,[],[3])).
% 63.06/60.93 %-------------------------------------------
% 63.06/60.93 cnf(clause_3, plain, (f2(f1(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3),f1(f2(f1(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)),f1(f2(f1(X2,f1(f1(f2(X4,f2(X2,X5)),f2(X6,X2)),X2)),f1(X7,f2(X2,f1(f1(f2(X4,f2(X2,X5)),f2(X6,X2)),X2)))),f2(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)))),f2(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3)))=X2), file('/export/starexec/sandbox2/solver/bin/output/theBenchmark+short+eq_rstfp/theBenchmark+short+eq_rstfp.cnf', clause_3)).
% 63.06/60.93 cnf(clause_12, plain, (f1(c3,f1(c4,c5))!=f1(f1(c3,c4),c5)), file('/export/starexec/sandbox2/solver/bin/output/theBenchmark+short+eq_rstfp/theBenchmark+short+eq_rstfp.cnf', clause_12)).
% 63.06/60.93 cnf(c_0_2, plain, (f2(f1(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3),f1(f2(f1(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)),f1(f2(f1(X2,f1(f1(f2(X4,f2(X2,X5)),f2(X6,X2)),X2)),f1(X7,f2(X2,f1(f1(f2(X4,f2(X2,X5)),f2(X6,X2)),X2)))),f2(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)))),f2(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3)))=X2), clause_3).
% 63.06/60.93 cnf(c_0_3, plain, (f2(f1(f2(f1(X1,f2(f1(X2,X3),f1(X3,f2(X2,X3)))),f1(f2(f1(X2,X3),f1(X3,f2(X2,X3))),f2(X1,f2(f1(X2,X3),f1(X3,f2(X2,X3)))))),X4),f1(f2(f1(X1,f2(f2(f1(X5,f2(f1(X2,X3),f1(X3,f2(X2,X3)))),f1(f2(f1(X2,X3),f1(X3,f2(X2,X3))),X6)),f2(f1(X2,X3),f1(X3,f2(X2,X3))))),f1(X3,f2(X1,f2(f2(f1(X5,f2(f1(X2,X3),f1(X3,f2(X2,X3)))),f1(f2(f1(X2,X3),f1(X3,f2(X2,X3))),X6)),f2(f1(X2,X3),f1(X3,f2(X2,X3))))))),f2(f2(f1(X1,f2(f1(X2,X3),f1(X3,f2(X2,X3)))),f1(f2(f1(X2,X3),f1(X3,f2(X2,X3))),f2(X1,f2(f1(X2,X3),f1(X3,f2(X2,X3)))))),X4)))=f2(f1(X2,X3),f1(X3,f2(X2,X3)))), inference(spm,[status(thm)],[c_0_2, c_0_2])).
% 63.06/60.93 cnf(c_0_4, plain, (f2(f1(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3),f1(f2(f1(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)),f1(f2(f1(X6,f2(f2(f1(X7,X2),f1(X2,X8)),X2)),f1(f2(f1(X2,f1(f1(f2(X7,f2(X2,X8)),f2(X9,X2)),X2)),f1(X10,f2(X2,f1(f1(f2(X7,f2(X2,X8)),f2(X9,X2)),X2)))),f2(X6,f2(f2(f1(X7,X2),f1(X2,X8)),X2)))),f2(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)))),f2(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3)))=X2), inference(spm,[status(thm)],[c_0_3, c_0_2])).
% 63.06/60.93 cnf(c_0_5, plain, (f2(f1(f2(f1(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X2),f1(X2,f2(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X2))),X3),f1(X2,f2(f2(f1(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X2),f1(X2,f2(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X2))),X3)))=X2), inference(spm,[status(thm)],[c_0_4, c_0_2])).
% 63.06/60.93 cnf(c_0_6, plain, (f2(f1(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3),f1(f2(f1(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)),f1(X2,f2(X1,f2(f2(f1(X4,X2),f1(X2,X5)),X2)))),f2(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3)))=X2), inference(spm,[status(thm)],[c_0_3, c_0_5])).
% 63.06/60.93 cnf(c_0_7, plain, (f2(f1(X1,X2),f1(X1,f2(X1,X2)))=X1), inference(spm,[status(thm)],[c_0_5, c_0_5])).
% 63.06/60.93 cnf(c_0_8, plain, (f2(f1(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3)),f1(X3,f2(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3))))=X3), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_6]), c_0_6]), c_0_6]), c_0_7])).
% 63.06/60.93 cnf(c_0_9, plain, (f2(f1(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3),f1(X2,f2(f2(f1(X1,X2),f1(X2,f2(X1,X2))),X3)))=X2), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 63.06/60.93 cnf(c_0_10, plain, (f2(f1(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3)),f1(f2(f1(X3,f1(f1(f2(X2,f2(X3,X4)),f2(X5,X3)),X3)),f1(X6,f2(X3,f1(f1(f2(X2,f2(X3,X4)),f2(X5,X3)),X3)))),f2(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3))))=X3), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_2]), c_0_2]), c_0_7])).
% 63.06/60.93 cnf(c_0_11, plain, (f2(f1(X1,f1(f1(f2(X2,f2(X1,X3)),f2(X4,X1)),X1)),f1(X5,f2(X1,f1(f1(f2(X2,f2(X1,X3)),f2(X4,X1)),X1))))=X1), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 63.06/60.93 cnf(c_0_12, plain, (f2(f1(X1,X2),f1(X2,f2(X1,X2)))=X2), inference(spm,[status(thm)],[c_0_2, c_0_11])).
% 63.06/60.93 cnf(c_0_13, plain, (f1(f1(f2(X1,f2(X2,X3)),f2(X4,X2)),X2)=X2), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 63.06/60.93 cnf(c_0_14, plain, (f2(f1(X1,f2(X2,X2)),f1(X2,f2(X1,f2(X2,X2))))=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_6]), c_0_8]), c_0_8]), c_0_8]), c_0_8])).
% 63.06/60.93 cnf(c_0_15, plain, (f2(f1(X1,X1),f1(X2,f2(X1,X1)))=X1), inference(spm,[status(thm)],[c_0_11, c_0_13])).
% 63.06/60.93 cnf(c_0_16, plain, (f2(X1,X1)=X1), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 63.06/60.93 cnf(c_0_17, plain, (f1(f1(f2(X1,X2),f2(X3,X2)),X2)=X2), inference(spm,[status(thm)],[c_0_13, c_0_16])).
% 63.06/60.93 cnf(c_0_18, plain, (f1(X1,X1)=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(spm,[status(thm)],[c_0_2, c_0_16]), c_0_12]), c_0_12]), c_0_11]), c_0_8]), c_0_12]), c_0_16])).
% 63.06/60.93 cnf(c_0_19, plain, (f1(f2(X1,X2),X2)=X2), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 63.06/60.93 cnf(c_0_20, plain, (f2(f1(f2(f1(f1(X1,X2),f1(X1,f2(X1,X2))),f1(f1(X1,f2(X1,X2)),X1)),X3),f1(f1(X1,f2(X1,X2)),f2(f2(f1(f1(X1,X2),f1(X1,f2(X1,X2))),f1(f1(X1,f2(X1,X2)),X1)),X3)))=f1(X1,f2(X1,X2))), inference(spm,[status(thm)],[c_0_9, c_0_7])).
% 63.06/60.93 cnf(c_0_21, plain, (f2(f1(f1(X1,X2),f1(X1,f2(X1,X2))),f1(f1(X1,X2),X1))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_7, c_0_7])).
% 63.06/60.93 cnf(c_0_22, plain, (f1(X1,f1(X2,X1))=f1(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_11]), c_0_13]), c_0_16]), c_0_13]), c_0_16])).
% 63.06/60.93 cnf(c_0_23, plain, (f2(X1,f1(X2,X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_18]), c_0_16])).
% 63.06/60.93 cnf(c_0_24, plain, (f2(f1(f1(X1,X2),f1(X1,f2(X1,X2))),f1(f1(X1,f2(X1,X2)),X1))=f1(X1,f2(X1,X2))), inference(spm,[status(thm)],[c_0_20, c_0_11])).
% 63.06/60.93 cnf(c_0_25, plain, (f1(f1(X1,X2),X2)=f1(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23]), c_0_18]), c_0_16])).
% 63.06/60.93 cnf(c_0_26, plain, (f1(f1(f2(X1,X2),f2(X3,X1)),X1)=X1), inference(spm,[status(thm)],[c_0_13, c_0_16])).
% 63.06/60.93 cnf(c_0_27, plain, (f2(f1(f1(X1,f1(X2,X1)),X1),X1)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_23]), c_0_18]), c_0_18]), c_0_18]), c_0_18])).
% 63.06/60.93 cnf(c_0_28, plain, (f2(f1(X1,X1),f2(X1,X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_13]), c_0_13]), c_0_13])).
% 63.06/60.93 cnf(c_0_29, plain, (f1(f2(X1,f2(X2,X3)),X2)=X2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_16]), c_0_25])).
% 63.06/60.93 cnf(c_0_30, plain, (f1(f1(f2(X1,X2),X1),X1)=X1), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 63.06/60.93 cnf(c_0_31, plain, (f1(f1(X1,f2(X2,X1)),X1)=X1), inference(spm,[status(thm)],[c_0_13, c_0_28])).
% 63.06/60.93 cnf(c_0_32, plain, (f1(f2(X1,X2),f1(X2,X3))=f1(X2,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_2]), c_0_12]), c_0_12])).
% 63.06/60.93 cnf(c_0_33, plain, (f2(f1(X1,f1(X2,X1)),X1)=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(spm,[status(thm)],[c_0_2, c_0_23]), c_0_12]), c_0_12]), c_0_11]), c_0_8]), c_0_12]), c_0_18])).
% 63.06/60.93 cnf(c_0_34, plain, (f2(f1(f1(f1(X1,f2(X2,X2)),f1(X2,f2(X1,f2(X2,X2)))),f1(f1(X1,f2(X2,X2)),X2)),f1(f1(f1(X1,f2(X2,X2)),f1(X2,f2(X1,f2(X2,X2)))),f1(X1,f2(X2,X2))))=f1(f1(X1,f2(X2,X2)),f1(X2,f2(X1,f2(X2,X2))))), inference(spm,[status(thm)],[c_0_21, c_0_14])).
% 63.06/60.93 cnf(c_0_35, plain, (f1(f2(X1,X2),X1)=X1), inference(rw,[status(thm)],[c_0_30, c_0_25])).
% 63.06/60.93 cnf(c_0_36, plain, (f1(X1,f1(X1,f2(X2,X1)))=f1(X1,f2(X2,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_12]), c_0_31])).
% 63.06/60.93 cnf(c_0_37, plain, (f1(X1,f1(f1(X1,f2(X2,X1)),X3))=f1(f1(X1,f2(X2,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_14]), c_0_16]), c_0_16])).
% 63.06/60.93 cnf(c_0_38, plain, (f2(f1(X1,X2),X2)=X2), inference(rw,[status(thm)],[c_0_33, c_0_22])).
% 63.06/60.93 cnf(c_0_39, plain, (f1(X1,f2(f2(X1,X2),X1))=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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_16]), c_0_16]), c_0_16]), c_0_36]), c_0_16]), c_0_18]), c_0_31]), c_0_16]), c_0_16]), c_0_16]), c_0_36]), c_0_16]), c_0_31]), c_0_16]), c_0_16]), c_0_16]), c_0_16]), c_0_36])).
% 63.06/60.93 cnf(c_0_40, plain, (f1(f1(X1,f2(X2,X1)),f1(X1,X3))=f1(X1,X3)), 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_37, c_0_14]), c_0_16]), c_0_16]), c_0_31]), c_0_16]), c_0_31])).
% 63.06/60.93 cnf(c_0_41, plain, (f2(X1,f2(f2(X1,X2),X1))=f2(f2(X1,X2),X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 63.06/60.93 cnf(c_0_42, plain, (f2(f1(X1,f2(X1,f2(X2,X1))),X1)=f1(X1,f2(X2,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_40]), c_0_31])).
% 63.06/60.93 cnf(c_0_43, plain, (f1(X1,f2(X2,X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_7]), c_0_42]), c_0_7])).
% 63.06/60.93 cnf(c_0_44, plain, (f2(X1,f2(X2,X1))=f2(X2,X1)), inference(spm,[status(thm)],[c_0_38, c_0_43])).
% 63.06/60.93 cnf(c_0_45, plain, (f2(f1(f1(X1,X2),X1),f1(X1,X2))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_44, c_0_21])).
% 63.06/60.93 cnf(c_0_46, plain, (f1(f2(X1,f2(X2,X3)),X3)=X3), inference(spm,[status(thm)],[c_0_32, c_0_19])).
% 63.06/60.93 cnf(c_0_47, plain, (f2(f1(f1(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3)),f1(X3,f2(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3)))),f1(f1(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3)),X3))=f1(X1,f2(f2(f1(X2,X3),f1(X3,X4)),X3))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 63.06/60.93 cnf(c_0_48, plain, (f1(f1(f2(X1,f2(X2,X3)),f2(X4,X3)),X3)=X3), inference(spm,[status(thm)],[c_0_13, c_0_44])).
% 63.06/60.93 cnf(c_0_49, plain, (f2(f1(X1,f2(X2,f2(X3,X1))),X1)=X1), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 63.06/60.93 cnf(c_0_50, plain, (f2(f2(f1(X1,X2),f1(X2,X3)),X2)=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_32]), c_0_19]), c_0_49])).
% 63.06/60.93 cnf(c_0_51, plain, (f2(f1(X1,X2),X1)=X1), inference(spm,[status(thm)],[c_0_50, c_0_45])).
% 63.06/60.93 cnf(c_0_52, plain, (f1(f1(X1,X2),X1)=f1(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_51]), c_0_16])).
% 63.06/60.93 cnf(c_0_53, plain, (f1(f1(f2(f1(X1,X2),X3),X2),f1(X1,X2))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_26, c_0_23])).
% 63.06/60.93 cnf(c_0_54, plain, (f2(f1(X1,X2),f2(X3,X1))=f2(X3,X1)), inference(spm,[status(thm)],[c_0_51, c_0_32])).
% 63.06/60.93 cnf(c_0_55, plain, (f2(X1,f1(X1,X2))=X1), inference(spm,[status(thm)],[c_0_23, c_0_52])).
% 63.06/60.93 cnf(c_0_56, plain, (f1(f1(f2(X1,X2),X3),f1(X2,X3))=f1(X2,X3)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 63.06/60.93 cnf(c_0_57, plain, (f2(f1(f2(X1,X2),X3),f1(X2,X3))=f1(f2(X1,X2),X3)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
% 63.06/60.93 cnf(c_0_58, plain, (f2(f1(X1,X2),f1(f1(X3,X1),X2))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_57, c_0_23])).
% 63.06/60.93 cnf(c_0_59, plain, (f2(f1(X1,X2),f1(X2,X1))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_58, c_0_52])).
% 63.06/60.93 cnf(c_0_60, plain, (f1(f1(X1,X2),f1(f2(X3,X1),X2))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_52, c_0_56])).
% 63.06/60.93 cnf(c_0_61, plain, (f1(X1,X2)=f1(X2,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_59]), c_0_59])).
% 63.06/60.93 cnf(c_0_62, plain, (f2(f1(f1(X1,X2),X3),f1(X2,X3))=f1(X2,X3)), inference(spm,[status(thm)],[c_0_44, c_0_58])).
% 63.06/60.93 cnf(c_0_63, plain, (f1(f1(X1,X2),f1(f2(X3,X2),X1))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_60, c_0_61])).
% 63.06/60.93 cnf(c_0_64, plain, (f2(f1(X1,X2),f1(X2,f1(X3,X1)))=f1(X1,X2)), inference(spm,[status(thm)],[c_0_58, c_0_61])).
% 63.06/60.93 cnf(c_0_65, plain, (f1(X1,f1(f2(X2,X1),X3))=f1(X3,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])).
% 63.06/60.93 cnf(c_0_66, plain, (f1(c3,f1(c4,c5))!=f1(f1(c3,c4),c5)), inference(fof_simplification,[status(thm)],[clause_12])).
% 63.06/60.93 cnf(c_0_67, plain, (f1(X1,f1(X2,f2(X3,X1)))=f1(X2,X1)), inference(spm,[status(thm)],[c_0_65, c_0_61])).
% 63.06/60.93 cnf(c_0_68, plain, (f1(c3,f1(c4,c5))!=f1(f1(c3,c4),c5)), c_0_66).
% 63.06/60.93 cnf(c_0_69, plain, (f1(f1(X1,X2),f1(X2,X3))=f1(X3,f1(X1,X2))), inference(spm,[status(thm)],[c_0_65, c_0_23])).
% 63.06/60.93 cnf(c_0_70, plain, (f1(f1(X1,X2),f1(X3,X1))=f1(X3,f1(X1,X2))), inference(spm,[status(thm)],[c_0_67, c_0_55])).
% 63.06/60.93 cnf(c_0_71, plain, (f1(c5,f1(c3,c4))!=f1(c3,f1(c4,c5))), inference(rw,[status(thm)],[c_0_68, c_0_61])).
% 63.06/60.93 cnf(c_0_72, plain, (f1(X1,f1(X2,X3))=f1(X3,f1(X1,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_69]), c_0_70])).
% 63.06/60.93 cnf(c_0_73, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])]), ['proof']).
% 63.06/60.93
% 63.06/60.93 % SZS output end Proof
% 63.06/60.93 % Total time : 60.346000 s
%------------------------------------------------------------------------------