TSTP Solution File: GEO036-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO036-3 : 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 : n024.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 22:42:34 EDT 2023
% Result : Unsatisfiable 0.82s 0.88s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO036-3 : 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
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:50:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.75/0.87 %-------------------------------------------
% 0.75/0.87 % File :CSE---1.6
% 0.75/0.87 % Problem :theBenchmark
% 0.75/0.87 % Transform :cnf
% 0.75/0.87 % Format :tptp:raw
% 0.75/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.75/0.87
% 0.75/0.87 % Result :Theorem 0.250000s
% 0.75/0.87 % Output :CNFRefutation 0.250000s
% 0.75/0.87 %-------------------------------------------
% 0.75/0.87 %--------------------------------------------------------------------------
% 0.75/0.87 % File : GEO036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.75/0.87 % Domain : Geometry
% 0.75/0.87 % Problem : The 3 axiom set points are distinct
% 0.75/0.87 % Version : [Qua89] axioms : Augmented.
% 0.75/0.87 % English :
% 0.75/0.87
% 0.75/0.87 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.75/0.87 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.75/0.87 % Source : [Qua89]
% 0.75/0.87 % Names : E2 [Qua89]
% 0.75/0.87
% 0.75/0.87 % Status : Unsatisfiable
% 0.75/0.87 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.27 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.00 v2.1.0, 0.11 v2.0.0
% 0.75/0.87 % Syntax : Number of clauses : 58 ( 17 unt; 14 nHn; 41 RR)
% 0.75/0.87 % Number of literals : 150 ( 36 equ; 78 neg)
% 0.75/0.87 % Maximal clause size : 8 ( 2 avg)
% 0.75/0.87 % Maximal term depth : 3 ( 1 avg)
% 0.75/0.87 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.75/0.87 % Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% 0.75/0.87 % Number of variables : 200 ( 10 sgn)
% 0.75/0.87 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.75/0.87
% 0.75/0.87 % Comments :
% 0.75/0.87 %--------------------------------------------------------------------------
% 0.75/0.87 %----Include Tarski geometry axioms
% 0.75/0.87 include('Axioms/GEO002-0.ax').
% 0.75/0.87 %----Include definition of reflection
% 0.75/0.87 include('Axioms/GEO002-2.ax').
% 0.75/0.87 %--------------------------------------------------------------------------
% 0.75/0.87 cnf(d1,axiom,
% 0.75/0.87 equidistant(U,V,U,V) ).
% 0.75/0.87
% 0.75/0.87 cnf(d2,axiom,
% 0.75/0.87 ( ~ equidistant(U,V,W,X)
% 0.75/0.87 | equidistant(W,X,U,V) ) ).
% 0.75/0.87
% 0.75/0.87 cnf(d3,axiom,
% 0.75/0.87 ( ~ equidistant(U,V,W,X)
% 0.75/0.87 | equidistant(V,U,W,X) ) ).
% 0.75/0.87
% 0.75/0.88 cnf(d4_1,axiom,
% 0.75/0.88 ( ~ equidistant(U,V,W,X)
% 0.75/0.88 | equidistant(U,V,X,W) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(d4_2,axiom,
% 0.75/0.88 ( ~ equidistant(U,V,W,X)
% 0.75/0.88 | equidistant(V,U,X,W) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(d4_3,axiom,
% 0.75/0.88 ( ~ equidistant(U,V,W,X)
% 0.75/0.88 | equidistant(W,X,V,U) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(d4_4,axiom,
% 0.75/0.88 ( ~ equidistant(U,V,W,X)
% 0.75/0.88 | equidistant(X,W,U,V) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(d4_5,axiom,
% 0.75/0.88 ( ~ equidistant(U,V,W,X)
% 0.75/0.88 | equidistant(X,W,V,U) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(d5,axiom,
% 0.75/0.88 ( ~ equidistant(U,V,W,X)
% 0.75/0.88 | ~ equidistant(W,X,Y,Z)
% 0.75/0.88 | equidistant(U,V,Y,Z) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(e1,axiom,
% 0.75/0.88 V = extension(U,V,W,W) ).
% 0.75/0.88
% 0.75/0.88 cnf(b0,axiom,
% 0.75/0.88 ( Y != extension(U,V,W,X)
% 0.75/0.88 | between(U,V,Y) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(r2_1,axiom,
% 0.75/0.88 between(U,V,reflection(U,V)) ).
% 0.75/0.88
% 0.75/0.88 cnf(r2_2,axiom,
% 0.75/0.88 equidistant(V,reflection(U,V),U,V) ).
% 0.75/0.88
% 0.75/0.88 cnf(r3_1,axiom,
% 0.75/0.88 ( U != V
% 0.75/0.88 | V = reflection(U,V) ) ).
% 0.75/0.88
% 0.75/0.88 cnf(r3_2,axiom,
% 0.75/0.88 U = reflection(U,U) ).
% 0.75/0.88
% 0.75/0.88 cnf(r4,axiom,
% 0.75/0.88 ( V != reflection(U,V)
% 0.75/0.88 | U = V ) ).
% 0.75/0.88
% 0.75/0.88 cnf(d7,axiom,
% 0.75/0.88 equidistant(U,U,V,V) ).
% 0.75/0.88
% 0.75/0.88 cnf(d8,axiom,
% 0.75/0.88 ( ~ equidistant(U,V,U1,V1)
% 0.75/0.88 | ~ equidistant(V,W,V1,W1)
% 0.75/0.88 | ~ between(U,V,W)
% 0.82/0.88 | ~ between(U1,V1,W1)
% 0.82/0.88 | equidistant(U,W,U1,W1) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(d9,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(U,V,X)
% 0.82/0.88 | ~ equidistant(V,W,V,X)
% 0.82/0.88 | U = V
% 0.82/0.88 | W = X ) ).
% 0.82/0.88
% 0.82/0.88 cnf(d10_1,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | U = V
% 0.82/0.88 | W = extension(U,V,V,W) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(d10_2,axiom,
% 0.82/0.88 ( ~ equidistant(W,X,Y,Z)
% 0.82/0.88 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.82/0.88 | U = V ) ).
% 0.82/0.88
% 0.82/0.88 cnf(d10_3,axiom,
% 0.82/0.88 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.82/0.88 | U = V ) ).
% 0.82/0.88
% 0.82/0.88 cnf(r5,axiom,
% 0.82/0.88 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.82/0.88
% 0.82/0.88 cnf(r6,axiom,
% 0.82/0.88 U = reflection(reflection(U,V),V) ).
% 0.82/0.88
% 0.82/0.88 cnf(t3,axiom,
% 0.82/0.88 between(U,V,V) ).
% 0.82/0.88
% 0.82/0.88 cnf(b1,axiom,
% 0.82/0.88 ( ~ between(U,W,X)
% 0.82/0.88 | U != X
% 0.82/0.88 | between(V,W,X) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(t1,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | between(W,V,U) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(t2,axiom,
% 0.82/0.88 between(U,U,V) ).
% 0.82/0.88
% 0.82/0.88 cnf(b2,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(V,U,W)
% 0.82/0.88 | U = V ) ).
% 0.82/0.88
% 0.82/0.88 cnf(b3,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(U,W,V)
% 0.82/0.88 | V = W ) ).
% 0.82/0.88
% 0.82/0.88 cnf(t6_1,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(V,U,W)
% 0.82/0.88 | U = V
% 0.82/0.88 | V = W ) ).
% 0.82/0.88
% 0.82/0.88 cnf(t6_2,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(U,W,V)
% 0.82/0.88 | U = V
% 0.82/0.88 | V = W ) ).
% 0.82/0.88
% 0.82/0.88 cnf(b4,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(V,W,X)
% 0.82/0.88 | between(U,V,W) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(b5,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(U,W,X)
% 0.82/0.88 | between(V,W,X) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(b6,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(V,W,X)
% 0.82/0.88 | between(U,W,X)
% 0.82/0.88 | V = W ) ).
% 0.82/0.88
% 0.82/0.88 cnf(b7,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(V,W,X)
% 0.82/0.88 | between(U,V,X)
% 0.82/0.88 | V = W ) ).
% 0.82/0.88
% 0.82/0.88 cnf(b8,axiom,
% 0.82/0.88 ( ~ between(U,V,X)
% 0.82/0.88 | ~ between(V,W,X)
% 0.82/0.88 | between(U,W,X) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(b9,axiom,
% 0.82/0.88 ( ~ between(U,V,W)
% 0.82/0.88 | ~ between(U,W,X)
% 0.82/0.88 | between(U,V,X) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(prove_axioms_points_are_distinct,negated_conjecture,
% 0.82/0.88 ( lower_dimension_point_1 = lower_dimension_point_2
% 0.82/0.88 | lower_dimension_point_2 = lower_dimension_point_3
% 0.82/0.88 | lower_dimension_point_1 = lower_dimension_point_3 ) ).
% 0.82/0.88
% 0.82/0.88 %--------------------------------------------------------------------------
% 0.82/0.88 %-------------------------------------------
% 0.82/0.88 % Proof found
% 0.82/0.88 % SZS status Theorem for theBenchmark
% 0.82/0.88 % SZS output start Proof
% 0.82/0.88 %ClaNum:91(EqnAxiom:35)
% 0.82/0.88 %VarNum:489(SingletonVarNum:183)
% 0.82/0.88 %MaxLitNum:8
% 0.82/0.88 %MaxfuncDepth:2
% 0.82/0.88 %SharedTerms:9
% 0.82/0.88 %goalClause: 52
% 0.82/0.88 [49]~P1(a5,a7,a8)
% 0.82/0.88 [50]~P1(a7,a8,a5)
% 0.82/0.88 [51]~P1(a8,a5,a7)
% 0.82/0.88 [36]P1(x361,x362,x362)
% 0.82/0.88 [37]P1(x371,x371,x372)
% 0.82/0.88 [38]P2(x381,x382,x382,x381)
% 0.82/0.88 [39]P2(x391,x392,x391,x392)
% 0.82/0.88 [40]P2(x401,x401,x402,x402)
% 0.82/0.88 [47]E(f1(f1(x471,x472,x471,x472),x472,f1(x471,x472,x471,x472),x472),x471)
% 0.82/0.88 [48]P2(x481,x482,x481,f1(f1(x482,x481,x482,x481),x481,f1(x482,x481,x482,x481),x481))
% 0.82/0.88 [41]E(f1(x411,x412,x413,x413),x412)
% 0.82/0.88 [43]P1(x431,x432,f1(x431,x432,x433,x434))
% 0.82/0.88 [45]P2(x451,f1(x452,x451,x453,x454),x453,x454)
% 0.82/0.88 [53]~P1(x531,x532,x531)+E(x531,x532)
% 0.82/0.88 [65]~E(x651,x652)+E(f1(x651,x652,x651,x652),x652)
% 0.82/0.88 [68]E(x681,x682)+~E(f1(x682,x681,x682,x681),x681)
% 0.82/0.88 [70]E(x701,x702)+E(f1(x701,x702,x701,x702),f1(x701,x702,x702,x701))
% 0.82/0.88 [54]~P1(x543,x542,x541)+P1(x541,x542,x543)
% 0.82/0.88 [67]~P2(x671,x672,x673,x673)+E(x671,x672)
% 0.82/0.88 [72]~P2(x724,x723,x722,x721)+P2(x721,x722,x723,x724)
% 0.82/0.88 [73]~P2(x733,x734,x732,x731)+P2(x731,x732,x733,x734)
% 0.82/0.88 [74]~P2(x744,x743,x741,x742)+P2(x741,x742,x743,x744)
% 0.82/0.88 [75]~P2(x753,x754,x751,x752)+P2(x751,x752,x753,x754)
% 0.82/0.88 [76]~P2(x762,x761,x764,x763)+P2(x761,x762,x763,x764)
% 0.82/0.88 [77]~P2(x772,x771,x773,x774)+P2(x771,x772,x773,x774)
% 0.82/0.88 [78]~P2(x781,x782,x784,x783)+P2(x781,x782,x783,x784)
% 0.82/0.88 [69]P1(x691,x692,x693)+~E(x693,f1(x691,x692,x694,x695))
% 0.82/0.88 [52]E(a5,a7)+E(a8,a5)+E(a8,a7)
% 0.82/0.88 [56]~P1(x563,x561,x562)+E(x561,x562)+~P1(x563,x562,x561)
% 0.82/0.88 [57]~P1(x571,x572,x573)+E(x571,x572)+~P1(x572,x571,x573)
% 0.82/0.88 [66]~P1(x661,x662,x663)+E(x661,x662)+E(f1(x661,x662,x662,x663),x663)
% 0.82/0.88 [55]~P1(x554,x552,x553)+P1(x551,x552,x553)+~E(x554,x553)
% 0.82/0.88 [60]~P1(x604,x601,x602)+P1(x601,x602,x603)+~P1(x604,x602,x603)
% 0.82/0.88 [61]~P1(x611,x614,x613)+P1(x611,x612,x613)+~P1(x614,x612,x613)
% 0.82/0.88 [62]~P1(x621,x622,x624)+P1(x621,x622,x623)+~P1(x621,x624,x623)
% 0.82/0.88 [85]~P1(x855,x851,x854)+~P1(x852,x853,x854)+P1(x851,f6(x852,x853,x854,x851,x855),x852)
% 0.82/0.88 [86]~P1(x865,x864,x863)+~P1(x862,x861,x863)+P1(x861,f6(x862,x861,x863,x864,x865),x865)
% 0.82/0.88 [80]~P2(x805,x806,x801,x802)+P2(x801,x802,x803,x804)+~P2(x805,x806,x803,x804)
% 0.82/0.88 [81]~P2(x811,x812,x815,x816)+P2(x811,x812,x813,x814)+~P2(x815,x816,x813,x814)
% 0.82/0.88 [79]~P2(x793,x794,x795,x796)+E(x791,x792)+E(f1(x791,x792,x793,x794),f1(x791,x792,x795,x796))
% 0.82/0.88 [63]~P1(x631,x632,x634)+~P1(x633,x631,x632)+E(x631,x632)+P1(x633,x632,x634)
% 0.82/0.88 [64]~P1(x641,x642,x644)+~P1(x643,x641,x642)+E(x641,x642)+P1(x643,x641,x644)
% 0.82/0.88 [87]~P1(x874,x872,x873)+~P1(x871,x872,x875)+E(x871,x872)+P1(x871,x873,f2(x871,x874,x872,x873,x875))
% 0.82/0.88 [88]~P1(x883,x882,x884)+~P1(x881,x882,x885)+E(x881,x882)+P1(x881,x883,f3(x881,x883,x882,x884,x885))
% 0.82/0.88 [89]~P1(x893,x892,x894)+~P1(x891,x892,x895)+E(x891,x892)+P1(f3(x891,x893,x892,x894,x895),x895,f2(x891,x893,x892,x894,x895))
% 0.82/0.88 [71]~P1(x713,x714,x712)+~P1(x713,x714,x711)+~P2(x714,x711,x714,x712)+E(x711,x712)+E(x713,x714)
% 0.82/0.88 [82]~P2(x826,x822,x825,x824)+~P2(x821,x826,x823,x825)+P2(x821,x822,x823,x824)+~P1(x823,x825,x824)+~P1(x821,x826,x822)
% 0.82/0.88 [90]~P1(x903,x904,x905)+~P1(x902,x903,x905)+~P2(x902,x905,x902,x906)+~P2(x902,x903,x902,x901)+P1(x901,f4(x902,x903,x901,x904,x905,x906),x906)
% 0.82/0.88 [91]~P1(x913,x912,x915)+~P1(x911,x913,x915)+~P2(x911,x915,x911,x916)+~P2(x911,x913,x911,x914)+P2(x911,x912,x911,f4(x911,x913,x914,x912,x915,x916))
% 0.82/0.88 [83]P1(x835,x833,x834)+P1(x834,x835,x833)+~P2(x833,x831,x833,x832)+~P2(x835,x831,x835,x832)+~P2(x834,x831,x834,x832)+E(x831,x832)+P1(x833,x834,x835)
% 0.82/0.88 [84]~P1(x841,x842,x843)+~P2(x842,x844,x848,x846)+~P2(x842,x843,x848,x845)+~P2(x841,x844,x847,x846)+~P2(x841,x842,x847,x848)+E(x841,x842)+P2(x843,x844,x845,x846)+~P1(x847,x848,x845)
% 0.82/0.88 %EqnAxiom
% 0.82/0.88 [1]E(x11,x11)
% 0.82/0.88 [2]E(x22,x21)+~E(x21,x22)
% 0.82/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.82/0.88 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.82/0.88 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.82/0.88 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.82/0.88 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.82/0.88 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.82/0.88 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.82/0.88 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.82/0.88 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.82/0.88 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.82/0.88 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.82/0.88 [14]~E(x141,x142)+E(f6(x141,x143,x144,x145,x146),f6(x142,x143,x144,x145,x146))
% 0.82/0.88 [15]~E(x151,x152)+E(f6(x153,x151,x154,x155,x156),f6(x153,x152,x154,x155,x156))
% 0.82/0.88 [16]~E(x161,x162)+E(f6(x163,x164,x161,x165,x166),f6(x163,x164,x162,x165,x166))
% 0.82/0.88 [17]~E(x171,x172)+E(f6(x173,x174,x175,x171,x176),f6(x173,x174,x175,x172,x176))
% 0.82/0.88 [18]~E(x181,x182)+E(f6(x183,x184,x185,x186,x181),f6(x183,x184,x185,x186,x182))
% 0.82/0.88 [19]~E(x191,x192)+E(f2(x191,x193,x194,x195,x196),f2(x192,x193,x194,x195,x196))
% 0.82/0.88 [20]~E(x201,x202)+E(f2(x203,x201,x204,x205,x206),f2(x203,x202,x204,x205,x206))
% 0.82/0.88 [21]~E(x211,x212)+E(f2(x213,x214,x211,x215,x216),f2(x213,x214,x212,x215,x216))
% 0.82/0.88 [22]~E(x221,x222)+E(f2(x223,x224,x225,x221,x226),f2(x223,x224,x225,x222,x226))
% 0.82/0.88 [23]~E(x231,x232)+E(f2(x233,x234,x235,x236,x231),f2(x233,x234,x235,x236,x232))
% 0.82/0.88 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 0.82/0.88 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 0.82/0.88 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 0.82/0.88 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 0.82/0.88 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 0.82/0.88 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.82/0.88 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.82/0.88 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.82/0.88 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.82/0.88 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.82/0.88 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.82/0.88 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.82/0.88
% 0.82/0.88 %-------------------------------------------
% 0.82/0.89 cnf(92,plain,
% 0.82/0.89 (E(x921,f1(x922,x921,x923,x923))),
% 0.82/0.89 inference(scs_inference,[],[41,2])).
% 0.82/0.89 cnf(96,plain,
% 0.82/0.89 (E(f1(x961,x962,x963,x963),x962)),
% 0.82/0.89 inference(rename_variables,[],[41])).
% 0.82/0.89 cnf(99,plain,
% 0.82/0.89 (P2(x991,x992,x992,x991)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(101,plain,
% 0.82/0.89 (P2(x1011,x1012,x1012,x1011)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(103,plain,
% 0.82/0.89 (P2(x1031,x1032,x1032,x1031)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(105,plain,
% 0.82/0.89 (P2(x1051,x1052,x1052,x1051)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(106,plain,
% 0.82/0.89 (~E(a7,a8)),
% 0.82/0.89 inference(scs_inference,[],[36,38,99,101,103,49,41,96,2,54,69,35,34,33,32,31])).
% 0.82/0.89 cnf(107,plain,
% 0.82/0.89 (P1(x1071,x1072,x1072)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(108,plain,
% 0.82/0.89 (~E(a8,a7)),
% 0.82/0.89 inference(scs_inference,[],[36,107,38,99,101,103,49,41,96,2,54,69,35,34,33,32,31,30])).
% 0.82/0.89 cnf(109,plain,
% 0.82/0.89 (P1(x1091,x1092,x1092)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(111,plain,
% 0.82/0.89 (P1(x1111,x1111,x1112)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(112,plain,
% 0.82/0.89 (~E(a7,f1(x1121,a8,x1122,x1122))),
% 0.82/0.89 inference(scs_inference,[],[36,107,38,99,101,103,37,49,41,96,2,54,69,35,34,33,32,31,30,29,3])).
% 0.82/0.89 cnf(113,plain,
% 0.82/0.89 (E(f1(x1131,x1132,x1133,x1133),x1132)),
% 0.82/0.89 inference(rename_variables,[],[41])).
% 0.82/0.89 cnf(115,plain,
% 0.82/0.89 (P2(x1151,f1(x1152,x1151,x1153,x1154),x1153,x1154)),
% 0.82/0.89 inference(rename_variables,[],[45])).
% 0.82/0.89 cnf(116,plain,
% 0.82/0.89 (P2(x1161,x1162,x1162,x1161)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(119,plain,
% 0.82/0.89 (P2(x1191,x1192,x1191,f1(f1(x1192,x1191,x1192,x1191),x1191,f1(x1192,x1191,x1192,x1191),x1191))),
% 0.82/0.89 inference(rename_variables,[],[48])).
% 0.82/0.89 cnf(122,plain,
% 0.82/0.89 (P1(x1221,x1222,x1222)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(125,plain,
% 0.82/0.89 (P1(x1251,x1251,x1252)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(166,plain,
% 0.82/0.89 (~E(f1(a8,a7,a8,a7),a7)),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,38,99,101,103,105,116,37,111,49,45,115,41,96,113,48,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68])).
% 0.82/0.89 cnf(173,plain,
% 0.82/0.89 (P1(x1731,x1732,f1(x1731,x1732,x1733,x1734))),
% 0.82/0.89 inference(rename_variables,[],[43])).
% 0.82/0.89 cnf(175,plain,
% 0.82/0.89 (P1(x1751,f1(x1752,x1753,x1754,x1755),f1(f1(x1752,x1753,x1754,x1755),f1(x1752,x1753,x1754,x1755),x1756,x1756))),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,38,99,101,103,105,116,37,111,49,45,115,43,173,41,96,113,48,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,62,55])).
% 0.82/0.89 cnf(176,plain,
% 0.82/0.89 (P1(x1761,x1762,f1(x1761,x1762,x1763,x1764))),
% 0.82/0.89 inference(rename_variables,[],[43])).
% 0.82/0.89 cnf(181,plain,
% 0.82/0.89 (P1(x1811,x1811,x1812)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(185,plain,
% 0.82/0.89 (P1(a7,a8,f2(a7,a7,a8,a8,a8))),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,122,38,99,101,103,105,116,37,111,125,49,45,115,43,173,41,96,113,48,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,62,55,86,85,79,87])).
% 0.82/0.89 cnf(187,plain,
% 0.82/0.89 (P1(x1871,x1872,x1872)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(191,plain,
% 0.82/0.89 (P1(x1911,x1912,x1912)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(193,plain,
% 0.82/0.89 (P2(f1(x1931,x1931,x1931,x1931),x1931,f1(x1931,x1931,x1931,x1931),f1(f1(x1931,x1931,x1931,x1931),x1931,f1(x1931,x1931,x1931,x1931),x1931))),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,122,187,191,38,99,101,103,105,116,39,37,111,125,49,45,115,43,173,176,41,96,113,48,119,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,62,55,86,85,79,87,89,82])).
% 0.82/0.89 cnf(195,plain,
% 0.82/0.89 (P1(x1951,x1952,x1952)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(200,plain,
% 0.82/0.89 (P1(x2001,x2002,x2002)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(202,plain,
% 0.82/0.89 (P2(x2021,x2021,x2021,f4(x2021,x2021,x2021,x2021,x2021,x2021))),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,122,187,191,195,200,38,99,101,103,105,116,39,37,111,125,49,45,115,43,173,176,41,96,113,48,119,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,62,55,86,85,79,87,89,82,71,91])).
% 0.82/0.89 cnf(205,plain,
% 0.82/0.89 (P1(x2051,x2052,x2052)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(206,plain,
% 0.82/0.89 (P2(x2061,x2062,x2062,x2061)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(208,plain,
% 0.82/0.89 (P1(x2081,f4(x2081,x2081,x2081,x2081,x2081,x2081),x2081)),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,122,187,191,195,200,205,38,99,101,103,105,116,206,39,37,111,125,49,45,115,43,173,176,41,96,113,48,119,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,62,55,86,85,79,87,89,82,71,91,90])).
% 0.82/0.89 cnf(214,plain,
% 0.82/0.89 (~P2(a7,a8,x2141,x2141)),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,122,187,191,195,200,205,38,99,101,103,105,116,206,39,37,111,125,49,45,115,43,173,176,41,96,113,48,119,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,62,55,86,85,79,87,89,82,71,91,90,67])).
% 0.82/0.89 cnf(221,plain,
% 0.82/0.89 (E(a8,a5)+E(a5,a7)),
% 0.82/0.89 inference(scs_inference,[],[36,107,109,122,187,191,195,200,205,38,99,101,103,105,116,206,39,37,111,125,181,49,51,45,115,43,173,176,41,96,113,48,119,2,54,69,35,34,33,32,31,30,29,3,81,80,57,56,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,62,55,86,85,79,87,89,82,71,91,90,67,53,60,52])).
% 0.82/0.89 cnf(232,plain,
% 0.82/0.89 (P1(x2321,f4(x2322,x2322,x2322,x2322,x2322,x2322),x2322)),
% 0.82/0.89 inference(scs_inference,[],[36,208,61])).
% 0.82/0.89 cnf(233,plain,
% 0.82/0.89 (P1(x2331,f4(x2331,x2331,x2331,x2331,x2331,x2331),x2331)),
% 0.82/0.89 inference(rename_variables,[],[208])).
% 0.82/0.89 cnf(235,plain,
% 0.82/0.89 (P1(f1(x2351,x2352,x2353,x2354),x2352,x2351)),
% 0.82/0.89 inference(scs_inference,[],[36,43,208,61,54])).
% 0.82/0.89 cnf(237,plain,
% 0.82/0.89 (~E(a5,f1(a7,a8,x2371,x2372))),
% 0.82/0.89 inference(scs_inference,[],[36,43,50,208,61,54,69])).
% 0.82/0.89 cnf(239,plain,
% 0.82/0.89 (E(f4(x2391,x2391,x2391,x2391,x2391,x2391),x2391)),
% 0.82/0.89 inference(scs_inference,[],[36,43,50,208,233,61,54,69,57])).
% 0.82/0.89 cnf(240,plain,
% 0.82/0.89 (P1(x2401,f4(x2401,x2401,x2401,x2401,x2401,x2401),x2401)),
% 0.82/0.89 inference(rename_variables,[],[208])).
% 0.82/0.89 cnf(241,plain,
% 0.82/0.89 (P1(x2411,x2412,x2412)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(243,plain,
% 0.82/0.89 (P1(x2431,f6(x2431,x2431,x2432,x2432,x2433),x2433)),
% 0.82/0.89 inference(scs_inference,[],[36,241,37,43,50,208,233,61,54,69,57,86])).
% 0.82/0.89 cnf(244,plain,
% 0.82/0.89 (P1(x2441,x2441,x2442)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(247,plain,
% 0.82/0.89 (P1(x2471,x2471,x2472)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(248,plain,
% 0.82/0.89 (P1(x2481,x2482,x2482)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(251,plain,
% 0.82/0.89 (P2(x2511,f1(x2512,x2511,x2513,x2514),x2513,x2514)),
% 0.82/0.89 inference(rename_variables,[],[45])).
% 0.82/0.89 cnf(252,plain,
% 0.82/0.89 (P1(x2521,x2522,x2522)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(253,plain,
% 0.82/0.89 (P2(x2531,x2532,x2531,x2532)),
% 0.82/0.89 inference(rename_variables,[],[39])).
% 0.82/0.89 cnf(254,plain,
% 0.82/0.89 (P1(x2541,x2541,x2542)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(256,plain,
% 0.82/0.89 (~P2(x2561,x2561,a7,a8)),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,39,37,244,247,45,43,50,208,233,106,214,61,54,69,57,86,89,90,75])).
% 0.82/0.89 cnf(258,plain,
% 0.82/0.89 (P1(x2581,f6(x2582,x2582,x2581,x2581,x2583),x2582)),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,39,37,244,247,254,45,43,50,208,233,106,214,61,54,69,57,86,89,90,75,85])).
% 0.82/0.89 cnf(259,plain,
% 0.82/0.89 (P1(x2591,x2591,x2592)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(272,plain,
% 0.82/0.89 (P2(x2721,f1(x2722,x2721,x2721,x2723),x2721,f4(x2721,f1(x2722,x2721,x2721,x2723),f1(x2722,x2721,x2721,x2723),f1(x2722,x2721,x2721,x2723),f1(x2722,x2721,x2721,x2723),x2723))),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,40,39,253,37,244,247,254,259,45,251,43,50,208,233,240,106,214,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91])).
% 0.82/0.89 cnf(273,plain,
% 0.82/0.89 (P2(x2731,f1(x2732,x2731,x2733,x2734),x2733,x2734)),
% 0.82/0.89 inference(rename_variables,[],[45])).
% 0.82/0.89 cnf(274,plain,
% 0.82/0.89 (P1(x2741,x2742,x2742)),
% 0.82/0.89 inference(rename_variables,[],[36])).
% 0.82/0.89 cnf(276,plain,
% 0.82/0.89 (P1(x2761,x2761,x2762)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(278,plain,
% 0.82/0.89 (~E(f1(x2781,a7,x2782,x2782),a8)),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,40,39,253,37,244,247,254,259,45,251,43,50,208,233,240,92,106,214,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91,3])).
% 0.82/0.89 cnf(281,plain,
% 0.82/0.89 (P2(x2811,f1(x2812,x2811,x2813,x2814),x2813,x2814)),
% 0.82/0.89 inference(rename_variables,[],[45])).
% 0.82/0.89 cnf(283,plain,
% 0.82/0.89 (P1(a7,x2831,f2(a7,a8,a8,x2831,a8))),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,274,40,39,253,37,244,247,254,259,276,45,251,273,43,50,208,233,240,92,106,214,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91,3,81,87])).
% 0.82/0.89 cnf(287,plain,
% 0.82/0.89 (~P2(x2871,f1(x2872,x2871,a7,a8),x2873,x2873)),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,274,40,39,253,37,244,247,254,259,276,45,251,273,281,43,50,208,233,240,92,106,214,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91,3,81,87,80])).
% 0.82/0.89 cnf(291,plain,
% 0.82/0.89 (E(f1(f1(x2911,x2912,x2911,x2912),x2912,f1(x2911,x2912,x2911,x2912),x2912),x2911)),
% 0.82/0.89 inference(rename_variables,[],[47])).
% 0.82/0.89 cnf(293,plain,
% 0.82/0.89 (~E(f1(x2931,a8,x2932,x2932),a7)),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,274,40,47,39,253,37,244,247,254,259,276,45,251,273,281,43,50,208,233,240,92,106,214,112,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91,3,81,87,80,55,2])).
% 0.82/0.89 cnf(295,plain,
% 0.82/0.89 (~P2(a7,a8,x2951,x2951)),
% 0.82/0.89 inference(rename_variables,[],[214])).
% 0.82/0.89 cnf(297,plain,
% 0.82/0.89 (~P2(a7,a8,x2971,x2971)),
% 0.82/0.89 inference(rename_variables,[],[214])).
% 0.82/0.89 cnf(298,plain,
% 0.82/0.89 (~P2(a7,f1(f1(a8,x2981,a8,x2981),x2981,f1(a8,x2981,a8,x2981),x2981),x2982,x2982)),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,274,40,47,291,39,253,37,244,247,254,259,276,45,251,273,281,43,50,208,233,240,92,106,214,295,297,112,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91,3,81,87,80,55,2,35,34,33])).
% 0.82/0.89 cnf(299,plain,
% 0.82/0.89 (E(f1(f1(x2991,x2992,x2991,x2992),x2992,f1(x2991,x2992,x2991,x2992),x2992),x2991)),
% 0.82/0.89 inference(rename_variables,[],[47])).
% 0.82/0.89 cnf(300,plain,
% 0.82/0.89 (~P2(f1(f1(a7,x3001,a7,x3001),x3001,f1(a7,x3001,a7,x3001),x3001),a8,x3002,x3002)),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,274,40,47,291,299,39,253,37,244,247,254,259,276,45,251,273,281,43,50,208,233,240,92,106,214,295,297,112,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91,3,81,87,80,55,2,35,34,33,32])).
% 0.82/0.89 cnf(301,plain,
% 0.82/0.89 (E(f1(f1(x3011,x3012,x3011,x3012),x3012,f1(x3011,x3012,x3011,x3012),x3012),x3011)),
% 0.82/0.89 inference(rename_variables,[],[47])).
% 0.82/0.89 cnf(303,plain,
% 0.82/0.89 (E(f1(f1(x3031,x3032,x3031,x3032),x3032,f1(x3031,x3032,x3031,x3032),x3032),x3031)),
% 0.82/0.89 inference(rename_variables,[],[47])).
% 0.82/0.89 cnf(304,plain,
% 0.82/0.89 (~P1(a7,a8,f1(f1(a5,x3041,a5,x3041),x3041,f1(a5,x3041,a5,x3041),x3041))),
% 0.82/0.89 inference(scs_inference,[],[36,241,248,252,274,40,47,291,299,301,303,39,253,37,244,247,254,259,276,45,251,273,281,43,50,208,233,240,92,106,214,295,297,112,166,61,54,69,57,86,89,90,75,85,73,77,53,56,79,91,3,81,87,80,55,2,35,34,33,32,29,31])).
% 0.82/0.89 cnf(326,plain,
% 0.82/0.89 (P1(x3261,x3262,f1(x3261,x3262,x3263,x3264))),
% 0.82/0.89 inference(rename_variables,[],[43])).
% 0.82/0.89 cnf(334,plain,
% 0.82/0.89 (P1(x3341,x3342,f1(x3341,x3342,x3343,x3344))),
% 0.82/0.89 inference(rename_variables,[],[43])).
% 0.82/0.89 cnf(339,plain,
% 0.82/0.89 (P1(x3391,f4(x3392,x3392,x3392,x3392,x3392,x3392),x3392)),
% 0.82/0.89 inference(rename_variables,[],[232])).
% 0.82/0.89 cnf(346,plain,
% 0.82/0.89 (P1(x3461,f6(x3461,x3461,x3462,x3462,x3463),x3463)),
% 0.82/0.89 inference(rename_variables,[],[243])).
% 0.82/0.89 cnf(354,plain,
% 0.82/0.89 (P1(f1(x3541,x3542,x3543,x3544),x3542,x3541)),
% 0.82/0.89 inference(rename_variables,[],[235])).
% 0.82/0.89 cnf(358,plain,
% 0.82/0.89 (~P2(x3581,x3581,x3582,f1(x3583,x3582,a7,a8))),
% 0.82/0.89 inference(scs_inference,[],[38,48,51,43,326,334,193,239,232,339,243,235,287,283,108,166,66,54,69,62,77,61,60,57,75,73,89,76,80])).
% 0.82/0.89 cnf(360,plain,
% 0.82/0.89 (P2(x3601,x3602,x3602,x3601)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(364,plain,
% 0.82/0.89 (~P1(f1(x3641,a7,x3642,x3642),a8,f1(x3641,a7,x3642,x3642))),
% 0.82/0.89 inference(scs_inference,[],[38,48,51,43,326,334,193,239,232,339,243,235,287,283,278,108,166,66,54,69,62,77,61,60,57,75,73,89,76,80,74,53])).
% 0.82/0.89 cnf(368,plain,
% 0.82/0.89 (P1(x3681,x3681,x3682)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(371,plain,
% 0.82/0.89 (P2(x3711,x3712,x3711,f1(f1(x3712,x3711,x3712,x3711),x3711,f1(x3712,x3711,x3712,x3711),x3711))),
% 0.82/0.89 inference(rename_variables,[],[48])).
% 0.82/0.89 cnf(372,plain,
% 0.82/0.89 (P1(x3721,x3721,x3722)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(378,plain,
% 0.82/0.89 (P1(x3781,x3782,f1(x3783,x3782,x3784,x3784))),
% 0.82/0.89 inference(scs_inference,[],[37,368,372,38,92,48,39,51,43,326,334,193,239,232,339,243,346,235,354,287,185,283,278,108,166,66,54,69,62,77,61,60,57,75,73,89,76,80,74,53,56,91,87,55])).
% 0.82/0.89 cnf(379,plain,
% 0.82/0.89 (E(x3791,f1(x3792,x3791,x3793,x3793))),
% 0.82/0.89 inference(rename_variables,[],[92])).
% 0.82/0.89 cnf(380,plain,
% 0.82/0.89 (P1(x3801,x3801,x3802)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(390,plain,
% 0.82/0.89 (P2(x3901,x3902,f1(f1(x3902,x3903,x3902,x3903),x3903,f1(x3902,x3903,x3902,x3903),x3903),x3901)),
% 0.82/0.89 inference(scs_inference,[],[37,368,372,38,360,92,48,371,47,39,45,51,43,326,334,193,239,232,339,243,346,235,354,287,185,283,256,278,108,175,166,36,66,54,69,62,77,61,60,57,75,73,89,76,80,74,53,56,91,87,55,72,82,33])).
% 0.82/0.89 cnf(391,plain,
% 0.82/0.89 (P2(x3911,x3912,x3912,x3911)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(393,plain,
% 0.82/0.89 (P2(x3931,x3932,x3932,x3931)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(395,plain,
% 0.82/0.89 (E(x3951,f1(x3952,x3951,x3953,x3953))),
% 0.82/0.89 inference(rename_variables,[],[92])).
% 0.82/0.89 cnf(397,plain,
% 0.82/0.89 (P1(x3971,f1(x3972,x3971,x3973,x3973),x3974)),
% 0.82/0.89 inference(scs_inference,[],[37,368,372,380,38,360,391,92,379,395,48,371,47,39,45,51,43,326,334,193,239,232,339,243,346,235,354,287,185,283,256,278,108,175,166,36,66,54,69,62,77,61,60,57,75,73,89,76,80,74,53,56,91,87,55,72,82,33,34,29,2,30])).
% 0.82/0.89 cnf(398,plain,
% 0.82/0.89 (E(x3981,f1(x3982,x3981,x3983,x3983))),
% 0.82/0.89 inference(rename_variables,[],[92])).
% 0.82/0.89 cnf(400,plain,
% 0.82/0.89 (E(f1(f1(x4001,x4002,x4001,x4002),x4002,f1(x4001,x4002,x4001,x4002),x4002),x4001)),
% 0.82/0.89 inference(rename_variables,[],[47])).
% 0.82/0.89 cnf(402,plain,
% 0.82/0.89 (P2(x4021,x4022,x4022,x4021)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(404,plain,
% 0.82/0.89 (P2(x4041,x4042,x4042,x4041)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(410,plain,
% 0.82/0.89 (P2(x4101,x4102,x4102,x4101)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(412,plain,
% 0.82/0.89 (P1(f4(x4121,x4121,x4121,x4121,x4121,x4121),f4(x4121,x4121,f4(x4121,x4121,x4121,x4121,x4121,x4121),x4121,x4121,x4121),x4121)),
% 0.82/0.89 inference(scs_inference,[],[37,368,372,380,38,360,391,393,402,404,410,92,379,395,398,48,371,47,400,39,45,51,43,326,334,193,202,239,232,339,243,346,235,354,287,185,283,256,278,108,175,166,36,66,54,69,62,77,61,60,57,75,73,89,76,80,74,53,56,91,87,55,72,82,33,34,29,2,30,3,32,35,78,68,81,90])).
% 0.82/0.89 cnf(438,plain,
% 0.82/0.89 (P1(x4381,x4382,f1(x4381,x4382,x4383,x4384))),
% 0.82/0.89 inference(rename_variables,[],[43])).
% 0.82/0.89 cnf(449,plain,
% 0.82/0.89 (P1(x4491,x4491,x4492)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(453,plain,
% 0.82/0.89 (P1(x4531,x4532,f1(x4531,x4532,x4533,x4534))),
% 0.82/0.89 inference(rename_variables,[],[43])).
% 0.82/0.89 cnf(463,plain,
% 0.82/0.89 (P2(x4631,x4632,x4632,x4631)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(466,plain,
% 0.82/0.89 (P1(x4661,x4662,f1(x4661,x4662,x4663,x4664))),
% 0.82/0.89 inference(rename_variables,[],[43])).
% 0.82/0.89 cnf(477,plain,
% 0.82/0.89 (P2(x4771,f1(x4772,x4771,x4773,x4774),x4773,x4774)),
% 0.82/0.89 inference(rename_variables,[],[45])).
% 0.82/0.89 cnf(478,plain,
% 0.82/0.89 (P1(x4781,x4781,x4782)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(479,plain,
% 0.82/0.89 (P2(x4791,x4792,x4792,x4791)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(483,plain,
% 0.82/0.89 (P1(x4831,x4831,x4832)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(494,plain,
% 0.82/0.89 (P1(x4941,x4941,x4942)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(499,plain,
% 0.82/0.89 (P2(x4991,x4992,x4992,x4991)),
% 0.82/0.89 inference(rename_variables,[],[38])).
% 0.82/0.89 cnf(500,plain,
% 0.82/0.89 (~P2(x5001,x5001,x5002,f1(x5003,x5002,a7,a8))),
% 0.82/0.89 inference(rename_variables,[],[358])).
% 0.82/0.89 cnf(502,plain,
% 0.82/0.89 (P1(x5021,x5021,x5022)),
% 0.82/0.89 inference(rename_variables,[],[37])).
% 0.82/0.89 cnf(516,plain,
% 0.82/0.89 ($false),
% 0.82/0.89 inference(scs_inference,[],[37,449,478,483,494,502,38,463,479,499,40,41,45,477,43,438,453,466,51,412,272,390,378,397,358,500,298,300,364,293,237,304,258,108,64,54,69,68,88,62,77,74,78,81,60,57,75,73,91,55,80,76,53,56,72,34,30,29,3,33,32,2,35,221]),
% 0.82/0.89 ['proof']).
% 0.82/0.89 % SZS output end Proof
% 0.82/0.89 % Total time :0.250000s
%------------------------------------------------------------------------------