TSTP Solution File: GEO006-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 : Wed Aug 30 22:42:21 EDT 2023
% Result : Unsatisfiable 0.64s 0.85s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 23:38:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.63/0.65 start to proof:theBenchmark
% 0.64/0.84 %-------------------------------------------
% 0.64/0.84 % File :CSE---1.6
% 0.64/0.84 % Problem :theBenchmark
% 0.64/0.84 % Transform :cnf
% 0.64/0.84 % Format :tptp:raw
% 0.64/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.64/0.84
% 0.64/0.84 % Result :Theorem 0.120000s
% 0.64/0.84 % Output :CNFRefutation 0.120000s
% 0.64/0.84 %-------------------------------------------
% 0.64/0.84 %--------------------------------------------------------------------------
% 0.64/0.84 % File : GEO006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.64/0.84 % Domain : Geometry
% 0.64/0.84 % Problem : Betweenness for 3 points on a line
% 0.64/0.84 % Version : [Qua89] axioms : Augmented.
% 0.64/0.84 % English : For any three distinct points x, y, and z, if y is between
% 0.64/0.84 % x and z, then both x is not between y and z and z is not
% 0.64/0.84 % between x and y.
% 0.64/0.84
% 0.64/0.84 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.64/0.84 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.64/0.84 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.64/0.84 % Source : [Qua89]
% 0.64/0.84 % Names : T6 [Qua89]
% 0.64/0.84
% 0.64/0.84 % Status : Unsatisfiable
% 0.64/0.84 % Rating : 0.10 v8.1.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.27 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.10 v2.5.0, 0.08 v2.4.0, 0.11 v2.2.1, 0.00 v2.1.0, 0.00 v2.0.0
% 0.64/0.84 % Syntax : Number of clauses : 54 ( 21 unt; 10 nHn; 37 RR)
% 0.64/0.84 % Number of literals : 125 ( 30 equ; 65 neg)
% 0.64/0.84 % Maximal clause size : 8 ( 2 avg)
% 0.64/0.84 % Maximal term depth : 3 ( 1 avg)
% 0.64/0.84 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.64/0.84 % Number of functors : 12 ( 12 usr; 6 con; 0-6 aty)
% 0.64/0.84 % Number of variables : 170 ( 9 sgn)
% 0.64/0.84 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.64/0.84
% 0.64/0.84 % Comments : This presentation may have alternatives/be incorrect.
% 0.64/0.84 %--------------------------------------------------------------------------
% 0.64/0.84 %----Include Tarski geometry axioms
% 0.64/0.84 include('Axioms/GEO002-0.ax').
% 0.64/0.84 %----Include definition of reflection
% 0.64/0.84 include('Axioms/GEO002-2.ax').
% 0.64/0.84 %--------------------------------------------------------------------------
% 0.64/0.84 cnf(d1,axiom,
% 0.64/0.84 equidistant(U,V,U,V) ).
% 0.64/0.84
% 0.64/0.84 cnf(d2,axiom,
% 0.64/0.84 ( ~ equidistant(U,V,W,X)
% 0.64/0.84 | equidistant(W,X,U,V) ) ).
% 0.64/0.84
% 0.64/0.84 cnf(d3,axiom,
% 0.64/0.84 ( ~ equidistant(U,V,W,X)
% 0.64/0.84 | equidistant(V,U,W,X) ) ).
% 0.64/0.84
% 0.64/0.84 cnf(d4_1,axiom,
% 0.64/0.84 ( ~ equidistant(U,V,W,X)
% 0.64/0.84 | equidistant(U,V,X,W) ) ).
% 0.64/0.84
% 0.64/0.84 cnf(d4_2,axiom,
% 0.64/0.84 ( ~ equidistant(U,V,W,X)
% 0.64/0.84 | equidistant(V,U,X,W) ) ).
% 0.64/0.84
% 0.64/0.84 cnf(d4_3,axiom,
% 0.64/0.84 ( ~ equidistant(U,V,W,X)
% 0.64/0.84 | equidistant(W,X,V,U) ) ).
% 0.64/0.84
% 0.64/0.84 cnf(d4_4,axiom,
% 0.64/0.84 ( ~ equidistant(U,V,W,X)
% 0.64/0.84 | equidistant(X,W,U,V) ) ).
% 0.64/0.84
% 0.64/0.84 cnf(d4_5,axiom,
% 0.64/0.84 ( ~ equidistant(U,V,W,X)
% 0.64/0.84 | equidistant(X,W,V,U) ) ).
% 0.64/0.84
% 0.64/0.85 cnf(d5,axiom,
% 0.64/0.85 ( ~ equidistant(U,V,W,X)
% 0.64/0.85 | ~ equidistant(W,X,Y,Z)
% 0.64/0.85 | equidistant(U,V,Y,Z) ) ).
% 0.64/0.85
% 0.64/0.85 cnf(e1,axiom,
% 0.64/0.85 V = extension(U,V,W,W) ).
% 0.64/0.85
% 0.64/0.85 cnf(b0,axiom,
% 0.64/0.85 ( Y != extension(U,V,W,X)
% 0.64/0.85 | between(U,V,Y) ) ).
% 0.64/0.85
% 0.64/0.85 cnf(r2_1,axiom,
% 0.64/0.85 between(U,V,reflection(U,V)) ).
% 0.64/0.85
% 0.64/0.85 cnf(r2_2,axiom,
% 0.64/0.85 equidistant(V,reflection(U,V),U,V) ).
% 0.64/0.85
% 0.64/0.85 cnf(r3_1,axiom,
% 0.64/0.85 ( U != V
% 0.64/0.85 | V = reflection(U,V) ) ).
% 0.64/0.85
% 0.64/0.85 cnf(r3_2,axiom,
% 0.64/0.85 U = reflection(U,U) ).
% 0.64/0.85
% 0.64/0.85 cnf(r4,axiom,
% 0.64/0.85 ( V != reflection(U,V)
% 0.64/0.85 | U = V ) ).
% 0.64/0.85
% 0.64/0.85 cnf(d7,axiom,
% 0.64/0.85 equidistant(U,U,V,V) ).
% 0.64/0.85
% 0.64/0.85 cnf(d8,axiom,
% 0.64/0.85 ( ~ equidistant(U,V,U1,V1)
% 0.64/0.85 | ~ equidistant(V,W,V1,W1)
% 0.64/0.85 | ~ between(U,V,W)
% 0.64/0.85 | ~ between(U1,V1,W1)
% 0.64/0.85 | equidistant(U,W,U1,W1) ) ).
% 0.64/0.85
% 0.64/0.85 cnf(d9,axiom,
% 0.64/0.85 ( ~ between(U,V,W)
% 0.64/0.85 | ~ between(U,V,X)
% 0.64/0.85 | ~ equidistant(V,W,V,X)
% 0.64/0.85 | U = V
% 0.64/0.85 | W = X ) ).
% 0.64/0.85
% 0.64/0.85 cnf(d10_1,axiom,
% 0.64/0.85 ( ~ between(U,V,W)
% 0.64/0.85 | U = V
% 0.64/0.85 | W = extension(U,V,V,W) ) ).
% 0.64/0.85
% 0.64/0.85 cnf(d10_2,axiom,
% 0.64/0.85 ( ~ equidistant(W,X,Y,Z)
% 0.64/0.85 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.64/0.85 | U = V ) ).
% 0.64/0.85
% 0.64/0.85 cnf(d10_3,axiom,
% 0.64/0.85 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.64/0.85 | U = V ) ).
% 0.64/0.85
% 0.64/0.85 cnf(r5,axiom,
% 0.64/0.85 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.64/0.85
% 0.64/0.85 cnf(r6,axiom,
% 0.64/0.85 U = reflection(reflection(U,V),V) ).
% 0.64/0.85
% 0.64/0.85 cnf(t3,axiom,
% 0.64/0.85 between(U,V,V) ).
% 0.64/0.85
% 0.64/0.85 cnf(b1,axiom,
% 0.64/0.85 ( ~ between(U,W,X)
% 0.64/0.85 | U != X
% 0.64/0.85 | between(V,W,X) ) ).
% 0.64/0.85
% 0.64/0.85 cnf(t1,axiom,
% 0.64/0.85 ( ~ between(U,V,W)
% 0.64/0.85 | between(W,V,U) ) ).
% 0.64/0.85
% 0.64/0.85 cnf(t2,axiom,
% 0.64/0.85 between(U,U,V) ).
% 0.64/0.85
% 0.64/0.85 cnf(b2,axiom,
% 0.64/0.85 ( ~ between(U,V,W)
% 0.64/0.85 | ~ between(V,U,W)
% 0.64/0.85 | U = V ) ).
% 0.64/0.85
% 0.64/0.85 cnf(b3,axiom,
% 0.64/0.85 ( ~ between(U,V,W)
% 0.64/0.85 | ~ between(U,W,V)
% 0.64/0.85 | V = W ) ).
% 0.64/0.85
% 0.64/0.85 cnf(a_not_c,hypothesis,
% 0.64/0.85 a != c ).
% 0.64/0.85
% 0.64/0.85 cnf(a_not_d,hypothesis,
% 0.64/0.85 a != d ).
% 0.64/0.85
% 0.64/0.85 cnf(c_not_d,hypothesis,
% 0.64/0.85 c != d ).
% 0.64/0.85
% 0.64/0.85 cnf(c_between_a_and_d,hypothesis,
% 0.64/0.85 between(a,c,d) ).
% 0.64/0.85
% 0.64/0.85 cnf(prove_not_between_others,negated_conjecture,
% 0.64/0.85 ( between(c,a,d)
% 0.64/0.85 | between(a,d,c) ) ).
% 0.64/0.85
% 0.64/0.85 %--------------------------------------------------------------------------
% 0.64/0.85 %-------------------------------------------
% 0.64/0.85 % Proof found
% 0.64/0.85 % SZS status Theorem for theBenchmark
% 0.64/0.85 % SZS output start Proof
% 0.64/0.85 %ClaNum:88(EqnAxiom:35)
% 0.64/0.85 %VarNum:440(SingletonVarNum:163)
% 0.64/0.85 %MaxLitNum:8
% 0.64/0.85 %MaxfuncDepth:2
% 0.64/0.85 %SharedTerms:15
% 0.64/0.85 %goalClause: 57
% 0.64/0.85 [36]P1(a1,a2,a3)
% 0.64/0.85 [50]~E(a2,a1)
% 0.64/0.85 [51]~E(a3,a1)
% 0.64/0.85 [52]~E(a3,a2)
% 0.64/0.85 [53]~P1(a8,a10,a11)
% 0.64/0.85 [54]~P1(a10,a11,a8)
% 0.64/0.85 [55]~P1(a11,a8,a10)
% 0.64/0.85 [37]P1(x371,x372,x372)
% 0.64/0.85 [38]P1(x381,x381,x382)
% 0.64/0.85 [39]P2(x391,x392,x392,x391)
% 0.64/0.85 [40]P2(x401,x402,x401,x402)
% 0.64/0.85 [41]P2(x411,x411,x412,x412)
% 0.64/0.85 [48]E(f5(f5(x481,x482,x481,x482),x482,f5(x481,x482,x481,x482),x482),x481)
% 0.64/0.85 [49]P2(x491,x492,x491,f5(f5(x492,x491,x492,x491),x491,f5(x492,x491,x492,x491),x491))
% 0.64/0.85 [42]E(f5(x421,x422,x423,x423),x422)
% 0.64/0.85 [44]P1(x441,x442,f5(x441,x442,x443,x444))
% 0.64/0.85 [46]P2(x461,f5(x462,x461,x463,x464),x463,x464)
% 0.64/0.85 [57]P1(a1,a3,a2)+P1(a2,a1,a3)
% 0.64/0.85 [56]~P1(x561,x562,x561)+E(x561,x562)
% 0.64/0.85 [62]~E(x621,x622)+E(f5(x621,x622,x621,x622),x622)
% 0.64/0.85 [65]E(x651,x652)+~E(f5(x652,x651,x652,x651),x651)
% 0.64/0.85 [67]E(x671,x672)+E(f5(x671,x672,x671,x672),f5(x671,x672,x672,x671))
% 0.64/0.85 [58]~P1(x583,x582,x581)+P1(x581,x582,x583)
% 0.64/0.85 [64]~P2(x641,x642,x643,x643)+E(x641,x642)
% 0.64/0.85 [69]~P2(x694,x693,x692,x691)+P2(x691,x692,x693,x694)
% 0.64/0.85 [70]~P2(x703,x704,x702,x701)+P2(x701,x702,x703,x704)
% 0.64/0.85 [71]~P2(x714,x713,x711,x712)+P2(x711,x712,x713,x714)
% 0.64/0.85 [72]~P2(x723,x724,x721,x722)+P2(x721,x722,x723,x724)
% 0.64/0.85 [73]~P2(x732,x731,x734,x733)+P2(x731,x732,x733,x734)
% 0.64/0.85 [74]~P2(x742,x741,x743,x744)+P2(x741,x742,x743,x744)
% 0.64/0.85 [75]~P2(x751,x752,x754,x753)+P2(x751,x752,x753,x754)
% 0.64/0.85 [66]P1(x661,x662,x663)+~E(x663,f5(x661,x662,x664,x665))
% 0.64/0.85 [60]~P1(x603,x601,x602)+E(x601,x602)+~P1(x603,x602,x601)
% 0.64/0.85 [61]~P1(x611,x612,x613)+E(x611,x612)+~P1(x612,x611,x613)
% 0.64/0.85 [63]~P1(x631,x632,x633)+E(x631,x632)+E(f5(x631,x632,x632,x633),x633)
% 0.64/0.85 [59]~P1(x594,x592,x593)+P1(x591,x592,x593)+~E(x594,x593)
% 0.64/0.85 [82]~P1(x825,x821,x824)+~P1(x822,x823,x824)+P1(x821,f9(x822,x823,x824,x821,x825),x822)
% 0.64/0.85 [83]~P1(x835,x834,x833)+~P1(x832,x831,x833)+P1(x831,f9(x832,x831,x833,x834,x835),x835)
% 0.64/0.85 [77]~P2(x775,x776,x771,x772)+P2(x771,x772,x773,x774)+~P2(x775,x776,x773,x774)
% 0.64/0.85 [78]~P2(x781,x782,x785,x786)+P2(x781,x782,x783,x784)+~P2(x785,x786,x783,x784)
% 0.64/0.85 [76]~P2(x763,x764,x765,x766)+E(x761,x762)+E(f5(x761,x762,x763,x764),f5(x761,x762,x765,x766))
% 0.64/0.85 [84]~P1(x844,x842,x843)+~P1(x841,x842,x845)+E(x841,x842)+P1(x841,x843,f6(x841,x844,x842,x843,x845))
% 0.64/0.85 [85]~P1(x853,x852,x854)+~P1(x851,x852,x855)+E(x851,x852)+P1(x851,x853,f7(x851,x853,x852,x854,x855))
% 0.64/0.85 [86]~P1(x863,x862,x864)+~P1(x861,x862,x865)+E(x861,x862)+P1(f7(x861,x863,x862,x864,x865),x865,f6(x861,x863,x862,x864,x865))
% 0.64/0.85 [68]~P1(x683,x684,x682)+~P1(x683,x684,x681)+~P2(x684,x681,x684,x682)+E(x681,x682)+E(x683,x684)
% 0.64/0.85 [79]~P2(x796,x792,x795,x794)+~P2(x791,x796,x793,x795)+P2(x791,x792,x793,x794)+~P1(x793,x795,x794)+~P1(x791,x796,x792)
% 0.64/0.85 [87]~P1(x873,x874,x875)+~P1(x872,x873,x875)+~P2(x872,x875,x872,x876)+~P2(x872,x873,x872,x871)+P1(x871,f4(x872,x873,x871,x874,x875,x876),x876)
% 0.64/0.85 [88]~P1(x883,x882,x885)+~P1(x881,x883,x885)+~P2(x881,x885,x881,x886)+~P2(x881,x883,x881,x884)+P2(x881,x882,x881,f4(x881,x883,x884,x882,x885,x886))
% 0.64/0.85 [80]P1(x805,x803,x804)+P1(x804,x805,x803)+~P2(x803,x801,x803,x802)+~P2(x805,x801,x805,x802)+~P2(x804,x801,x804,x802)+E(x801,x802)+P1(x803,x804,x805)
% 0.64/0.85 [81]~P1(x811,x812,x813)+~P2(x812,x814,x818,x816)+~P2(x812,x813,x818,x815)+~P2(x811,x814,x817,x816)+~P2(x811,x812,x817,x818)+E(x811,x812)+P2(x813,x814,x815,x816)+~P1(x817,x818,x815)
% 0.64/0.85 %EqnAxiom
% 0.64/0.85 [1]E(x11,x11)
% 0.64/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.64/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.64/0.85 [4]~E(x41,x42)+E(f5(x41,x43,x44,x45),f5(x42,x43,x44,x45))
% 0.64/0.85 [5]~E(x51,x52)+E(f5(x53,x51,x54,x55),f5(x53,x52,x54,x55))
% 0.64/0.85 [6]~E(x61,x62)+E(f5(x63,x64,x61,x65),f5(x63,x64,x62,x65))
% 0.64/0.85 [7]~E(x71,x72)+E(f5(x73,x74,x75,x71),f5(x73,x74,x75,x72))
% 0.64/0.85 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.64/0.85 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.64/0.85 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.64/0.85 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.64/0.85 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.64/0.85 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.64/0.85 [14]~E(x141,x142)+E(f9(x141,x143,x144,x145,x146),f9(x142,x143,x144,x145,x146))
% 0.64/0.85 [15]~E(x151,x152)+E(f9(x153,x151,x154,x155,x156),f9(x153,x152,x154,x155,x156))
% 0.64/0.85 [16]~E(x161,x162)+E(f9(x163,x164,x161,x165,x166),f9(x163,x164,x162,x165,x166))
% 0.64/0.85 [17]~E(x171,x172)+E(f9(x173,x174,x175,x171,x176),f9(x173,x174,x175,x172,x176))
% 0.64/0.85 [18]~E(x181,x182)+E(f9(x183,x184,x185,x186,x181),f9(x183,x184,x185,x186,x182))
% 0.64/0.85 [19]~E(x191,x192)+E(f6(x191,x193,x194,x195,x196),f6(x192,x193,x194,x195,x196))
% 0.64/0.85 [20]~E(x201,x202)+E(f6(x203,x201,x204,x205,x206),f6(x203,x202,x204,x205,x206))
% 0.64/0.85 [21]~E(x211,x212)+E(f6(x213,x214,x211,x215,x216),f6(x213,x214,x212,x215,x216))
% 0.64/0.85 [22]~E(x221,x222)+E(f6(x223,x224,x225,x221,x226),f6(x223,x224,x225,x222,x226))
% 0.64/0.85 [23]~E(x231,x232)+E(f6(x233,x234,x235,x236,x231),f6(x233,x234,x235,x236,x232))
% 0.64/0.85 [24]~E(x241,x242)+E(f7(x241,x243,x244,x245,x246),f7(x242,x243,x244,x245,x246))
% 0.64/0.85 [25]~E(x251,x252)+E(f7(x253,x251,x254,x255,x256),f7(x253,x252,x254,x255,x256))
% 0.64/0.85 [26]~E(x261,x262)+E(f7(x263,x264,x261,x265,x266),f7(x263,x264,x262,x265,x266))
% 0.64/0.85 [27]~E(x271,x272)+E(f7(x273,x274,x275,x271,x276),f7(x273,x274,x275,x272,x276))
% 0.64/0.85 [28]~E(x281,x282)+E(f7(x283,x284,x285,x286,x281),f7(x283,x284,x285,x286,x282))
% 0.64/0.85 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.64/0.85 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.64/0.85 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.64/0.85 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.64/0.85 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.64/0.85 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.64/0.85 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.64/0.85
% 0.64/0.85 %-------------------------------------------
% 0.64/0.85 cnf(97,plain,
% 0.64/0.85 (E(f5(x971,x972,x973,x973),x972)),
% 0.64/0.85 inference(rename_variables,[],[42])).
% 0.64/0.85 cnf(99,plain,
% 0.64/0.85 (~E(a1,a2)),
% 0.64/0.85 inference(scs_inference,[],[40,50,53,42,2,64,58,56,66,35])).
% 0.64/0.85 cnf(100,plain,
% 0.64/0.85 (P2(x1001,x1002,x1001,x1002)),
% 0.64/0.85 inference(rename_variables,[],[40])).
% 0.64/0.85 cnf(104,plain,
% 0.64/0.85 (P2(x1041,f5(x1042,x1041,x1043,x1044),x1043,x1044)),
% 0.64/0.85 inference(rename_variables,[],[46])).
% 0.64/0.85 cnf(106,plain,
% 0.64/0.85 (P2(x1061,x1062,x1062,x1061)),
% 0.64/0.85 inference(rename_variables,[],[39])).
% 0.64/0.85 cnf(108,plain,
% 0.64/0.85 (P1(x1081,x1082,x1082)),
% 0.64/0.85 inference(rename_variables,[],[37])).
% 0.64/0.85 cnf(112,plain,
% 0.64/0.85 (P1(x1121,x1121,x1122)),
% 0.64/0.85 inference(rename_variables,[],[38])).
% 0.64/0.85 cnf(116,plain,
% 0.64/0.85 (P2(x1161,f5(x1162,x1161,x1163,x1164),x1163,x1164)),
% 0.64/0.85 inference(rename_variables,[],[46])).
% 0.64/0.86 cnf(117,plain,
% 0.64/0.86 (P2(x1171,x1172,x1172,x1171)),
% 0.64/0.86 inference(rename_variables,[],[39])).
% 0.64/0.86 cnf(133,plain,
% 0.64/0.86 (P2(x1331,x1332,x1333,f5(x1334,x1333,x1331,x1332))),
% 0.64/0.86 inference(scs_inference,[],[36,39,106,117,40,100,37,108,38,112,50,53,46,104,116,42,97,49,2,64,58,56,66,35,34,33,32,31,30,29,3,78,77,61,60,75,74,73,72])).
% 0.64/0.86 cnf(141,plain,
% 0.64/0.86 (P1(a1,a3,a2)),
% 0.64/0.86 inference(scs_inference,[],[36,39,106,117,40,100,37,108,38,112,50,53,46,104,116,42,97,49,2,64,58,56,66,35,34,33,32,31,30,29,3,78,77,61,60,75,74,73,72,71,70,69,57])).
% 0.64/0.86 cnf(226,plain,
% 0.64/0.86 ($false),
% 0.64/0.86 inference(scs_inference,[],[36,44,54,52,133,99,141,68,58,66,60]),
% 0.64/0.86 ['proof']).
% 0.64/0.86 % SZS output end Proof
% 0.64/0.86 % Total time :0.120000s
%------------------------------------------------------------------------------