TSTP Solution File: GEO045-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO045-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 22:42:37 EDT 2023
% Result : Unsatisfiable 0.54s 0.81s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO045-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 23:19:36 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.54/0.80 %-------------------------------------------
% 0.54/0.80 % File :CSE---1.6
% 0.54/0.80 % Problem :theBenchmark
% 0.54/0.80 % Transform :cnf
% 0.54/0.80 % Format :tptp:raw
% 0.54/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.80
% 0.54/0.80 % Result :Theorem 0.180000s
% 0.54/0.80 % Output :CNFRefutation 0.180000s
% 0.54/0.80 %-------------------------------------------
% 0.54/0.81 %--------------------------------------------------------------------------
% 0.54/0.81 % File : GEO045-3 : TPTP v8.1.2. Released v1.0.0.
% 0.54/0.81 % Domain : Geometry
% 0.54/0.81 % Problem : Second outer transitivity property of betweenness
% 0.54/0.81 % Version : [Qua89] axioms : Augmented.
% 0.54/0.81 % English :
% 0.54/0.81
% 0.54/0.81 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.54/0.81 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.54/0.81 % Source : [Qua89]
% 0.54/0.81 % Names : B7 [Qua89]
% 0.54/0.81
% 0.54/0.81 % Status : Unsatisfiable
% 0.54/0.81 % Rating : 0.05 v7.5.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.35 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.36 v4.0.0, 0.27 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.08 v3.1.0, 0.18 v2.7.0, 0.33 v2.6.0, 0.20 v2.5.0, 0.08 v2.4.0, 0.22 v2.2.1, 0.11 v2.2.0, 0.11 v2.1.0, 0.33 v2.0.0
% 0.54/0.81 % Syntax : Number of clauses : 58 ( 21 unt; 12 nHn; 41 RR)
% 0.54/0.81 % Number of literals : 141 ( 33 equ; 74 neg)
% 0.54/0.81 % Maximal clause size : 8 ( 2 avg)
% 0.54/0.81 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.81 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.54/0.81 % Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% 0.54/0.81 % Number of variables : 188 ( 10 sgn)
% 0.54/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.81
% 0.54/0.81 % Comments :
% 0.54/0.81 %--------------------------------------------------------------------------
% 0.54/0.81 %----Include Tarski geometry axioms
% 0.54/0.81 include('Axioms/GEO002-0.ax').
% 0.54/0.81 %----Include definition of reflection
% 0.54/0.81 include('Axioms/GEO002-2.ax').
% 0.54/0.81 %--------------------------------------------------------------------------
% 0.54/0.81 cnf(d1,axiom,
% 0.54/0.81 equidistant(U,V,U,V) ).
% 0.54/0.81
% 0.54/0.81 cnf(d2,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | equidistant(W,X,U,V) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d3,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | equidistant(V,U,W,X) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d4_1,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | equidistant(U,V,X,W) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d4_2,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | equidistant(V,U,X,W) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d4_3,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | equidistant(W,X,V,U) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d4_4,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | equidistant(X,W,U,V) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d4_5,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | equidistant(X,W,V,U) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d5,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,W,X)
% 0.54/0.81 | ~ equidistant(W,X,Y,Z)
% 0.54/0.81 | equidistant(U,V,Y,Z) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(e1,axiom,
% 0.54/0.81 V = extension(U,V,W,W) ).
% 0.54/0.81
% 0.54/0.81 cnf(b0,axiom,
% 0.54/0.81 ( Y != extension(U,V,W,X)
% 0.54/0.81 | between(U,V,Y) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(r2_1,axiom,
% 0.54/0.81 between(U,V,reflection(U,V)) ).
% 0.54/0.81
% 0.54/0.81 cnf(r2_2,axiom,
% 0.54/0.81 equidistant(V,reflection(U,V),U,V) ).
% 0.54/0.81
% 0.54/0.81 cnf(r3_1,axiom,
% 0.54/0.81 ( U != V
% 0.54/0.81 | V = reflection(U,V) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(r3_2,axiom,
% 0.54/0.81 U = reflection(U,U) ).
% 0.54/0.81
% 0.54/0.81 cnf(r4,axiom,
% 0.54/0.81 ( V != reflection(U,V)
% 0.54/0.81 | U = V ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d7,axiom,
% 0.54/0.81 equidistant(U,U,V,V) ).
% 0.54/0.81
% 0.54/0.81 cnf(d8,axiom,
% 0.54/0.81 ( ~ equidistant(U,V,U1,V1)
% 0.54/0.81 | ~ equidistant(V,W,V1,W1)
% 0.54/0.81 | ~ between(U,V,W)
% 0.54/0.81 | ~ between(U1,V1,W1)
% 0.54/0.81 | equidistant(U,W,U1,W1) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d9,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(U,V,X)
% 0.54/0.81 | ~ equidistant(V,W,V,X)
% 0.54/0.81 | U = V
% 0.54/0.81 | W = X ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d10_1,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | U = V
% 0.54/0.81 | W = extension(U,V,V,W) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d10_2,axiom,
% 0.54/0.81 ( ~ equidistant(W,X,Y,Z)
% 0.54/0.81 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.54/0.81 | U = V ) ).
% 0.54/0.81
% 0.54/0.81 cnf(d10_3,axiom,
% 0.54/0.81 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.54/0.81 | U = V ) ).
% 0.54/0.81
% 0.54/0.81 cnf(r5,axiom,
% 0.54/0.81 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.54/0.81
% 0.54/0.81 cnf(r6,axiom,
% 0.54/0.81 U = reflection(reflection(U,V),V) ).
% 0.54/0.81
% 0.54/0.81 cnf(t3,axiom,
% 0.54/0.81 between(U,V,V) ).
% 0.54/0.81
% 0.54/0.81 cnf(b1,axiom,
% 0.54/0.81 ( ~ between(U,W,X)
% 0.54/0.81 | U != X
% 0.54/0.81 | between(V,W,X) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(t1,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | between(W,V,U) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(t2,axiom,
% 0.54/0.81 between(U,U,V) ).
% 0.54/0.81
% 0.54/0.81 cnf(b2,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(V,U,W)
% 0.54/0.81 | U = V ) ).
% 0.54/0.81
% 0.54/0.81 cnf(b3,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(U,W,V)
% 0.54/0.81 | V = W ) ).
% 0.54/0.81
% 0.54/0.81 cnf(t6_1,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(V,U,W)
% 0.54/0.81 | U = V
% 0.54/0.81 | V = W ) ).
% 0.54/0.81
% 0.54/0.81 cnf(t6_2,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(U,W,V)
% 0.54/0.81 | U = V
% 0.54/0.81 | V = W ) ).
% 0.54/0.81
% 0.54/0.81 cnf(b4,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(V,W,X)
% 0.54/0.81 | between(U,V,W) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(b5,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(U,W,X)
% 0.54/0.81 | between(V,W,X) ) ).
% 0.54/0.81
% 0.54/0.81 cnf(b6,axiom,
% 0.54/0.81 ( ~ between(U,V,W)
% 0.54/0.81 | ~ between(V,W,X)
% 0.54/0.81 | between(U,W,X)
% 0.54/0.81 | V = W ) ).
% 0.54/0.81
% 0.54/0.81 cnf(v_between_u_and_w,hypothesis,
% 0.54/0.81 between(u,v,w) ).
% 0.54/0.81
% 0.54/0.81 cnf(w_between_v_and_x,hypothesis,
% 0.54/0.81 between(v,w,x) ).
% 0.54/0.81
% 0.54/0.81 cnf(v_not_w,hypothesis,
% 0.54/0.81 v != w ).
% 0.54/0.81
% 0.54/0.81 cnf(prove_v_between_u_and_x,negated_conjecture,
% 0.54/0.81 ~ between(u,v,x) ).
% 0.54/0.81
% 0.54/0.81 %--------------------------------------------------------------------------
% 0.54/0.81 %-------------------------------------------
% 0.54/0.81 % Proof found
% 0.54/0.81 % SZS status Theorem for theBenchmark
% 0.54/0.81 % SZS output start Proof
% 0.54/0.82 %ClaNum:91(EqnAxiom:35)
% 0.54/0.82 %VarNum:460(SingletonVarNum:171)
% 0.54/0.82 %MaxLitNum:8
% 0.54/0.82 %MaxfuncDepth:2
% 0.54/0.82 %SharedTerms:14
% 0.54/0.82 %goalClause: 55
% 0.54/0.82 %singleGoalClaCount:1
% 0.54/0.82 [36]P1(a1,a10,a11)
% 0.54/0.82 [37]P1(a10,a11,a12)
% 0.54/0.82 [51]~E(a11,a10)
% 0.54/0.82 [52]~P1(a6,a8,a9)
% 0.54/0.82 [53]~P1(a8,a9,a6)
% 0.54/0.82 [54]~P1(a9,a6,a8)
% 0.54/0.82 [55]~P1(a1,a10,a12)
% 0.54/0.82 [38]P1(x381,x382,x382)
% 0.54/0.82 [39]P1(x391,x391,x392)
% 0.54/0.82 [40]P2(x401,x402,x402,x401)
% 0.54/0.82 [41]P2(x411,x412,x411,x412)
% 0.54/0.82 [42]P2(x421,x421,x422,x422)
% 0.54/0.82 [49]E(f2(f2(x491,x492,x491,x492),x492,f2(x491,x492,x491,x492),x492),x491)
% 0.54/0.82 [50]P2(x501,x502,x501,f2(f2(x502,x501,x502,x501),x501,f2(x502,x501,x502,x501),x501))
% 0.54/0.82 [43]E(f2(x431,x432,x433,x433),x432)
% 0.54/0.82 [45]P1(x451,x452,f2(x451,x452,x453,x454))
% 0.54/0.82 [47]P2(x471,f2(x472,x471,x473,x474),x473,x474)
% 0.54/0.82 [56]~P1(x561,x562,x561)+E(x561,x562)
% 0.54/0.82 [65]~E(x651,x652)+E(f2(x651,x652,x651,x652),x652)
% 0.54/0.82 [68]E(x681,x682)+~E(f2(x682,x681,x682,x681),x681)
% 0.54/0.82 [70]E(x701,x702)+E(f2(x701,x702,x701,x702),f2(x701,x702,x702,x701))
% 0.54/0.82 [57]~P1(x573,x572,x571)+P1(x571,x572,x573)
% 0.54/0.82 [67]~P2(x671,x672,x673,x673)+E(x671,x672)
% 0.54/0.82 [72]~P2(x724,x723,x722,x721)+P2(x721,x722,x723,x724)
% 0.54/0.82 [73]~P2(x733,x734,x732,x731)+P2(x731,x732,x733,x734)
% 0.54/0.82 [74]~P2(x744,x743,x741,x742)+P2(x741,x742,x743,x744)
% 0.54/0.82 [75]~P2(x753,x754,x751,x752)+P2(x751,x752,x753,x754)
% 0.54/0.82 [76]~P2(x762,x761,x764,x763)+P2(x761,x762,x763,x764)
% 0.54/0.82 [77]~P2(x772,x771,x773,x774)+P2(x771,x772,x773,x774)
% 0.54/0.82 [78]~P2(x781,x782,x784,x783)+P2(x781,x782,x783,x784)
% 0.54/0.82 [69]P1(x691,x692,x693)+~E(x693,f2(x691,x692,x694,x695))
% 0.54/0.82 [59]~P1(x593,x591,x592)+E(x591,x592)+~P1(x593,x592,x591)
% 0.54/0.82 [60]~P1(x601,x602,x603)+E(x601,x602)+~P1(x602,x601,x603)
% 0.54/0.82 [66]~P1(x661,x662,x663)+E(x661,x662)+E(f2(x661,x662,x662,x663),x663)
% 0.54/0.82 [58]~P1(x584,x582,x583)+P1(x581,x582,x583)+~E(x584,x583)
% 0.54/0.82 [63]~P1(x634,x631,x632)+P1(x631,x632,x633)+~P1(x634,x632,x633)
% 0.54/0.82 [85]~P1(x855,x851,x854)+~P1(x852,x853,x854)+P1(x851,f7(x852,x853,x854,x851,x855),x852)
% 0.54/0.82 [86]~P1(x865,x864,x863)+~P1(x862,x861,x863)+P1(x861,f7(x862,x861,x863,x864,x865),x865)
% 0.54/0.82 [80]~P2(x805,x806,x801,x802)+P2(x801,x802,x803,x804)+~P2(x805,x806,x803,x804)
% 0.54/0.82 [81]~P2(x811,x812,x815,x816)+P2(x811,x812,x813,x814)+~P2(x815,x816,x813,x814)
% 0.54/0.82 [79]~P2(x793,x794,x795,x796)+E(x791,x792)+E(f2(x791,x792,x793,x794),f2(x791,x792,x795,x796))
% 0.54/0.82 [64]~P1(x641,x642,x644)+~P1(x643,x641,x642)+E(x641,x642)+P1(x643,x642,x644)
% 0.54/0.82 [87]~P1(x874,x872,x873)+~P1(x871,x872,x875)+E(x871,x872)+P1(x871,x873,f3(x871,x874,x872,x873,x875))
% 0.54/0.82 [88]~P1(x883,x882,x884)+~P1(x881,x882,x885)+E(x881,x882)+P1(x881,x883,f4(x881,x883,x882,x884,x885))
% 0.54/0.82 [89]~P1(x893,x892,x894)+~P1(x891,x892,x895)+E(x891,x892)+P1(f4(x891,x893,x892,x894,x895),x895,f3(x891,x893,x892,x894,x895))
% 0.54/0.82 [71]~P1(x713,x714,x712)+~P1(x713,x714,x711)+~P2(x714,x711,x714,x712)+E(x711,x712)+E(x713,x714)
% 0.54/0.82 [82]~P2(x826,x822,x825,x824)+~P2(x821,x826,x823,x825)+P2(x821,x822,x823,x824)+~P1(x823,x825,x824)+~P1(x821,x826,x822)
% 0.54/0.82 [90]~P1(x903,x904,x905)+~P1(x902,x903,x905)+~P2(x902,x905,x902,x906)+~P2(x902,x903,x902,x901)+P1(x901,f5(x902,x903,x901,x904,x905,x906),x906)
% 0.54/0.82 [91]~P1(x913,x912,x915)+~P1(x911,x913,x915)+~P2(x911,x915,x911,x916)+~P2(x911,x913,x911,x914)+P2(x911,x912,x911,f5(x911,x913,x914,x912,x915,x916))
% 0.54/0.82 [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)
% 0.54/0.82 [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)
% 0.54/0.82 %EqnAxiom
% 0.54/0.82 [1]E(x11,x11)
% 0.54/0.82 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.82 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.54/0.82 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.54/0.82 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.54/0.82 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.54/0.82 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 0.54/0.82 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 0.54/0.82 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 0.54/0.82 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 0.54/0.82 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 0.54/0.82 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 0.54/0.82 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 0.54/0.82 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 0.54/0.82 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 0.54/0.82 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 0.54/0.82 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 0.54/0.82 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 0.54/0.82 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 0.54/0.82 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 0.54/0.82 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 0.54/0.82 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 0.54/0.82 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 0.54/0.82 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 0.54/0.82 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 0.54/0.82 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 0.54/0.82 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 0.54/0.82 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.54/0.82 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.54/0.82 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.54/0.82 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.54/0.82 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.54/0.82 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.54/0.82 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.54/0.82
% 0.54/0.82 %-------------------------------------------
% 0.54/0.82 cnf(92,plain,
% 0.54/0.82 (E(x921,f2(x922,x921,x923,x923))),
% 0.54/0.82 inference(scs_inference,[],[43,2])).
% 0.54/0.82 cnf(93,plain,
% 0.54/0.82 (~P2(a11,a10,x931,x931)),
% 0.54/0.82 inference(scs_inference,[],[51,43,2,67])).
% 0.54/0.82 cnf(95,plain,
% 0.54/0.82 (~P1(a12,a10,a1)),
% 0.54/0.82 inference(scs_inference,[],[55,51,43,2,67,57])).
% 0.54/0.82 cnf(100,plain,
% 0.54/0.82 (E(f2(x1001,x1002,x1003,x1003),x1002)),
% 0.54/0.82 inference(rename_variables,[],[43])).
% 0.54/0.82 cnf(102,plain,
% 0.54/0.82 (~E(a10,a11)),
% 0.54/0.82 inference(scs_inference,[],[55,41,51,43,2,67,57,56,69,35])).
% 0.54/0.82 cnf(103,plain,
% 0.54/0.82 (P2(x1031,x1032,x1031,x1032)),
% 0.54/0.82 inference(rename_variables,[],[41])).
% 0.54/0.82 cnf(105,plain,
% 0.54/0.82 (P2(x1051,x1052,x1051,x1052)),
% 0.54/0.82 inference(rename_variables,[],[41])).
% 0.54/0.82 cnf(107,plain,
% 0.54/0.82 (P2(x1071,f2(x1072,x1071,x1073,x1074),x1073,x1074)),
% 0.54/0.82 inference(rename_variables,[],[47])).
% 0.54/0.82 cnf(108,plain,
% 0.54/0.82 (P2(x1081,x1082,x1082,f2(x1083,x1081,x1084,x1084))),
% 0.54/0.82 inference(scs_inference,[],[55,40,41,103,51,47,43,100,2,67,57,56,69,35,34,33,32])).
% 0.54/0.82 cnf(109,plain,
% 0.54/0.82 (P2(x1091,x1092,x1092,x1091)),
% 0.54/0.82 inference(rename_variables,[],[40])).
% 0.54/0.82 cnf(111,plain,
% 0.54/0.82 (P1(x1111,x1112,x1112)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(112,plain,
% 0.54/0.82 (~E(a12,a10)),
% 0.54/0.82 inference(scs_inference,[],[55,40,41,103,38,111,51,47,43,100,2,67,57,56,69,35,34,33,32,31,30])).
% 0.54/0.82 cnf(113,plain,
% 0.54/0.82 (P1(x1131,x1132,x1132)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(114,plain,
% 0.54/0.82 (~E(a10,a1)),
% 0.54/0.82 inference(scs_inference,[],[55,40,41,103,38,111,39,51,47,43,100,2,67,57,56,69,35,34,33,32,31,30,29])).
% 0.54/0.82 cnf(115,plain,
% 0.54/0.82 (P1(x1151,x1151,x1152)),
% 0.54/0.82 inference(rename_variables,[],[39])).
% 0.54/0.82 cnf(116,plain,
% 0.54/0.82 (~E(a11,f2(x1161,a10,x1162,x1162))),
% 0.54/0.82 inference(scs_inference,[],[55,40,41,103,38,111,39,51,47,43,100,2,67,57,56,69,35,34,33,32,31,30,29,3])).
% 0.54/0.82 cnf(117,plain,
% 0.54/0.82 (E(f2(x1171,x1172,x1173,x1173),x1172)),
% 0.54/0.82 inference(rename_variables,[],[43])).
% 0.54/0.82 cnf(119,plain,
% 0.54/0.82 (P2(x1191,f2(x1192,x1191,x1193,x1194),x1193,x1194)),
% 0.54/0.82 inference(rename_variables,[],[47])).
% 0.54/0.82 cnf(120,plain,
% 0.54/0.82 (P2(x1201,x1202,x1202,x1201)),
% 0.54/0.82 inference(rename_variables,[],[40])).
% 0.54/0.82 cnf(123,plain,
% 0.54/0.82 (P2(x1231,x1232,x1231,f2(f2(x1232,x1231,x1232,x1231),x1231,f2(x1232,x1231,x1232,x1231),x1231))),
% 0.54/0.82 inference(rename_variables,[],[50])).
% 0.54/0.82 cnf(126,plain,
% 0.54/0.82 (P1(x1261,x1262,x1262)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(129,plain,
% 0.54/0.82 (P1(x1291,x1291,x1292)),
% 0.54/0.82 inference(rename_variables,[],[39])).
% 0.54/0.82 cnf(168,plain,
% 0.54/0.82 (E(f2(x1681,f2(x1682,x1683,x1684,x1684),x1685,x1686),f2(x1681,x1683,x1685,x1686))),
% 0.54/0.82 inference(scs_inference,[],[55,40,109,120,41,103,38,111,113,39,115,51,47,107,119,43,100,117,50,2,67,57,56,69,35,34,33,32,31,30,29,3,81,80,60,59,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.54/0.82 cnf(170,plain,
% 0.54/0.82 (~E(f2(a10,a11,a10,a11),a11)),
% 0.54/0.82 inference(scs_inference,[],[55,40,109,120,41,103,38,111,113,39,115,51,47,107,119,43,100,117,50,2,67,57,56,69,35,34,33,32,31,30,29,3,81,80,60,59,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68])).
% 0.54/0.82 cnf(176,plain,
% 0.54/0.82 (~P1(a1,a11,a10)),
% 0.54/0.82 inference(scs_inference,[],[55,40,109,120,41,103,38,111,113,39,115,36,51,47,107,119,43,100,117,50,2,67,57,56,69,35,34,33,32,31,30,29,3,81,80,60,59,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,63])).
% 0.54/0.82 cnf(180,plain,
% 0.54/0.82 (P1(x1801,f7(x1802,x1801,x1801,x1801,x1802),x1802)),
% 0.54/0.82 inference(scs_inference,[],[55,40,109,120,41,103,38,111,113,126,39,115,36,51,47,107,119,43,100,117,50,2,67,57,56,69,35,34,33,32,31,30,29,3,81,80,60,59,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,63,58,86])).
% 0.54/0.82 cnf(182,plain,
% 0.54/0.82 (P1(x1821,f7(x1822,x1823,x1823,x1821,x1821),x1822)),
% 0.54/0.82 inference(scs_inference,[],[55,40,109,120,41,103,38,111,113,126,39,115,129,36,51,47,107,119,43,100,117,50,2,67,57,56,69,35,34,33,32,31,30,29,3,81,80,60,59,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,63,58,86,85])).
% 0.54/0.82 cnf(189,plain,
% 0.54/0.82 (P1(x1891,x1892,x1892)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(193,plain,
% 0.54/0.82 (P1(x1931,x1932,x1932)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(195,plain,
% 0.54/0.82 (P2(f2(x1951,x1951,x1951,x1951),x1951,f2(x1951,x1951,x1951,x1951),f2(f2(x1951,x1951,x1951,x1951),x1951,f2(x1951,x1951,x1951,x1951),x1951))),
% 0.54/0.82 inference(scs_inference,[],[55,40,109,120,41,103,105,38,111,113,126,189,193,39,115,129,36,51,47,107,119,45,43,100,117,50,123,2,67,57,56,69,35,34,33,32,31,30,29,3,81,80,60,59,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,63,58,86,85,79,87,89,82])).
% 0.54/0.82 cnf(197,plain,
% 0.54/0.82 (P1(x1971,x1972,x1972)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(202,plain,
% 0.54/0.82 (P1(x2021,x2022,x2022)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(207,plain,
% 0.54/0.82 (P1(x2071,x2072,x2072)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(208,plain,
% 0.54/0.82 (P2(x2081,x2082,x2082,x2081)),
% 0.54/0.82 inference(rename_variables,[],[40])).
% 0.54/0.82 cnf(210,plain,
% 0.54/0.82 (P1(x2101,f5(x2101,x2101,x2101,x2101,x2101,x2101),x2101)),
% 0.54/0.82 inference(scs_inference,[],[55,40,109,120,208,41,103,105,38,111,113,126,189,193,197,202,207,39,115,129,36,51,47,107,119,45,43,100,117,50,123,2,67,57,56,69,35,34,33,32,31,30,29,3,81,80,60,59,78,77,76,75,74,73,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,70,63,58,86,85,79,87,89,82,71,91,90])).
% 0.54/0.82 cnf(229,plain,
% 0.54/0.82 (P1(a10,a12,f3(a10,a10,a11,a12,a12))),
% 0.54/0.82 inference(scs_inference,[],[55,42,37,51,102,69,79,87])).
% 0.54/0.82 cnf(234,plain,
% 0.54/0.82 (P2(x2341,f2(x2342,x2341,x2343,x2344),x2343,x2344)),
% 0.54/0.82 inference(rename_variables,[],[47])).
% 0.54/0.82 cnf(235,plain,
% 0.54/0.82 (P1(x2351,x2352,x2352)),
% 0.54/0.82 inference(rename_variables,[],[38])).
% 0.54/0.82 cnf(236,plain,
% 0.54/0.82 (P2(x2361,x2362,x2361,x2362)),
% 0.54/0.82 inference(rename_variables,[],[41])).
% 0.54/0.82 cnf(237,plain,
% 0.54/0.82 (P1(x2371,x2371,x2372)),
% 0.54/0.82 inference(rename_variables,[],[39])).
% 0.81/0.82 cnf(252,plain,
% 0.81/0.82 (P2(x2521,f2(x2522,x2521,x2523,x2524),x2523,x2524)),
% 0.81/0.82 inference(rename_variables,[],[47])).
% 0.81/0.82 cnf(255,plain,
% 0.81/0.82 (P1(x2551,x2551,x2552)),
% 0.81/0.82 inference(rename_variables,[],[39])).
% 0.81/0.82 cnf(258,plain,
% 0.81/0.82 (E(f2(f2(x2581,x2582,x2581,x2582),x2582,f2(x2581,x2582,x2581,x2582),x2582),x2581)),
% 0.81/0.82 inference(rename_variables,[],[49])).
% 0.81/0.82 cnf(260,plain,
% 0.81/0.82 (~E(f2(x2601,a10,x2602,x2602),a11)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,37,40,41,38,39,237,47,234,45,51,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2])).
% 0.81/0.82 cnf(265,plain,
% 0.81/0.82 (~P2(f2(f2(a11,x2651,a11,x2651),x2651,f2(a11,x2651,a11,x2651),x2651),a10,x2652,x2652)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,37,40,41,38,39,237,47,234,45,51,210,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32])).
% 0.81/0.82 cnf(266,plain,
% 0.81/0.82 (E(f2(f2(x2661,x2662,x2661,x2662),x2662,f2(x2661,x2662,x2661,x2662),x2662),x2661)),
% 0.81/0.82 inference(rename_variables,[],[49])).
% 0.81/0.82 cnf(268,plain,
% 0.81/0.82 (E(f2(f2(x2681,x2682,x2681,x2682),x2682,f2(x2681,x2682,x2681,x2682),x2682),x2681)),
% 0.81/0.82 inference(rename_variables,[],[49])).
% 0.81/0.82 cnf(269,plain,
% 0.81/0.82 (~P1(a1,f2(f2(a10,x2691,a10,x2691),x2691,f2(a10,x2691,a10,x2691),x2691),a12)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,37,40,41,38,39,237,47,234,45,51,210,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30])).
% 0.81/0.82 cnf(270,plain,
% 0.81/0.82 (E(f2(f2(x2701,x2702,x2701,x2702),x2702,f2(x2701,x2702,x2701,x2702),x2702),x2701)),
% 0.81/0.82 inference(rename_variables,[],[49])).
% 0.81/0.82 cnf(275,plain,
% 0.81/0.82 (P1(x2751,x2752,x2752)),
% 0.81/0.82 inference(rename_variables,[],[38])).
% 0.81/0.82 cnf(279,plain,
% 0.81/0.82 (P1(a11,f7(x2791,a12,a12,a11,a10),x2791)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,37,40,41,236,38,235,275,39,237,255,47,234,252,45,51,210,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30,86,90,85])).
% 0.81/0.82 cnf(282,plain,
% 0.81/0.82 (~P2(x2821,x2821,x2822,f2(x2823,x2822,a11,a10))),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,37,40,41,236,38,235,275,39,237,255,47,234,252,45,51,210,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30,86,90,85,75])).
% 0.81/0.82 cnf(284,plain,
% 0.81/0.82 (~P2(a11,a10,x2841,f2(f2(x2841,x2842,x2841,x2842),x2842,f2(x2841,x2842,x2841,x2842),x2842))),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,270,37,40,41,236,38,235,275,39,237,255,47,234,252,45,51,210,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30,86,90,85,75,35])).
% 0.81/0.82 cnf(285,plain,
% 0.81/0.82 (~P2(a11,a10,x2851,x2851)),
% 0.81/0.82 inference(rename_variables,[],[93])).
% 0.81/0.82 cnf(286,plain,
% 0.81/0.82 (~P2(x2861,x2861,f2(f2(a11,x2862,a11,x2862),x2862,f2(a11,x2862,a11,x2862),x2862),a10)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,270,37,40,41,236,38,235,275,39,237,255,47,234,252,45,51,210,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30,86,90,85,75,35,74])).
% 0.81/0.82 cnf(288,plain,
% 0.81/0.82 (~P2(f2(x2881,x2882,a11,a10),x2882,x2883,x2883)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,270,37,40,41,236,38,235,275,39,237,255,47,234,252,45,51,210,93,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30,86,90,85,75,35,74,77])).
% 0.81/0.82 cnf(293,plain,
% 0.81/0.82 (~P2(a11,a10,x2931,x2931)),
% 0.81/0.82 inference(rename_variables,[],[93])).
% 0.81/0.82 cnf(295,plain,
% 0.81/0.82 (E(f2(f2(x2951,x2952,x2951,x2952),x2952,f2(x2951,x2952,x2951,x2952),x2952),x2951)),
% 0.81/0.82 inference(rename_variables,[],[49])).
% 0.81/0.82 cnf(296,plain,
% 0.81/0.82 (~P2(a11,f2(f2(a10,x2961,a10,x2961),x2961,f2(a10,x2961,a10,x2961),x2961),x2962,x2962)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,270,295,37,40,41,236,38,235,275,39,237,255,47,234,252,45,51,210,92,93,285,293,102,116,170,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30,86,90,85,75,35,74,77,3,34,29,33])).
% 0.81/0.82 cnf(298,plain,
% 0.81/0.82 (~P1(a11,a10,a1)),
% 0.81/0.82 inference(scs_inference,[],[55,42,49,258,266,268,270,295,37,40,41,236,38,235,275,39,237,255,47,234,252,45,51,210,92,93,285,293,102,116,170,95,69,79,87,89,91,81,60,72,59,73,80,63,58,2,57,56,32,31,30,86,90,85,75,35,74,77,3,34,29,33,64])).
% 0.81/0.82 cnf(321,plain,
% 0.81/0.82 (P2(x3211,x3212,x3212,x3211)),
% 0.81/0.82 inference(rename_variables,[],[40])).
% 0.81/0.82 cnf(324,plain,
% 0.81/0.82 (P1(x3241,f7(x3242,x3241,x3241,x3241,x3242),x3242)),
% 0.81/0.82 inference(rename_variables,[],[180])).
% 0.81/0.82 cnf(328,plain,
% 0.81/0.82 (P2(x3281,x3282,x3281,f2(f2(x3282,x3281,x3282,x3281),x3281,f2(x3282,x3281,x3282,x3281),x3281))),
% 0.81/0.82 inference(rename_variables,[],[50])).
% 0.81/0.82 cnf(329,plain,
% 0.81/0.82 (P1(x3291,x3292,x3292)),
% 0.81/0.83 inference(rename_variables,[],[38])).
% 0.81/0.83 cnf(344,plain,
% 0.81/0.83 (P1(x3441,x3442,f2(x3441,x3442,x3443,x3444))),
% 0.81/0.83 inference(rename_variables,[],[45])).
% 0.81/0.83 cnf(348,plain,
% 0.81/0.83 (P1(x3481,x3482,x3482)),
% 0.81/0.83 inference(rename_variables,[],[38])).
% 0.81/0.83 cnf(351,plain,
% 0.81/0.83 (P1(x3511,x3512,f2(x3511,x3512,x3513,x3514))),
% 0.81/0.83 inference(rename_variables,[],[45])).
% 0.81/0.83 cnf(357,plain,
% 0.81/0.83 (P1(a10,a11,f2(a1,a11,x3571,x3572))),
% 0.81/0.83 inference(scs_inference,[],[36,52,50,328,40,321,41,38,329,39,45,344,351,51,180,324,168,282,286,112,229,69,81,59,91,73,76,80,57,56,89,60,87,78,72,63])).
% 0.81/0.83 cnf(365,plain,
% 0.81/0.83 (E(x3651,f2(x3652,x3651,x3653,x3653))),
% 0.81/0.83 inference(rename_variables,[],[92])).
% 0.81/0.83 cnf(367,plain,
% 0.81/0.83 (E(x3671,f2(x3672,x3671,x3673,x3673))),
% 0.81/0.83 inference(rename_variables,[],[92])).
% 0.81/0.83 cnf(368,plain,
% 0.81/0.83 (P2(x3681,x3681,x3682,f2(x3683,x3682,x3684,x3684))),
% 0.81/0.83 inference(scs_inference,[],[36,52,42,92,365,367,50,328,40,321,41,38,329,39,45,344,351,51,180,324,168,282,286,112,229,69,81,59,91,73,76,80,57,56,89,60,87,78,72,63,75,74,32,31,35])).
% 0.81/0.83 cnf(369,plain,
% 0.81/0.83 (E(x3691,f2(x3692,x3691,x3693,x3693))),
% 0.81/0.83 inference(rename_variables,[],[92])).
% 0.81/0.83 cnf(376,plain,
% 0.81/0.83 (P1(a1,f2(x3761,a10,x3762,x3762),a11)),
% 0.81/0.83 inference(scs_inference,[],[36,52,42,92,365,367,369,50,328,49,40,321,41,38,329,348,39,45,344,351,51,195,180,324,168,282,286,112,229,69,81,59,91,73,76,80,57,56,89,60,87,78,72,63,75,74,32,31,35,2,77,88,30])).
% 0.81/0.83 cnf(420,plain,
% 0.81/0.83 (P1(x4201,x4202,f2(x4201,x4202,x4203,x4204))),
% 0.81/0.83 inference(rename_variables,[],[45])).
% 0.81/0.83 cnf(428,plain,
% 0.81/0.83 (P2(x4281,x4282,x4281,f2(f2(x4282,x4281,x4282,x4281),x4281,f2(x4282,x4281,x4282,x4281),x4281))),
% 0.81/0.83 inference(rename_variables,[],[50])).
% 0.81/0.83 cnf(461,plain,
% 0.81/0.83 ($false),
% 0.81/0.83 inference(scs_inference,[],[36,53,50,428,47,40,39,45,420,42,51,182,368,176,288,265,296,279,284,260,269,376,357,114,298,108,84,64,81,69,76,73,68,56,60,72,63,59,75,80,74,57]),
% 0.81/0.83 ['proof']).
% 0.81/0.83 % SZS output end Proof
% 0.81/0.83 % Total time :0.180000s
%------------------------------------------------------------------------------