TSTP Solution File: GEO044-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO044-3 : 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 : n026.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 0.17s 0.81s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.34 % Computer : n026.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Aug 29 20:50:51 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.17/0.52 start to proof:theBenchmark
% 0.17/0.80 %-------------------------------------------
% 0.17/0.80 % File :CSE---1.6
% 0.17/0.80 % Problem :theBenchmark
% 0.17/0.80 % Transform :cnf
% 0.17/0.80 % Format :tptp:raw
% 0.17/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.80
% 0.17/0.80 % Result :Theorem 0.240000s
% 0.17/0.80 % Output :CNFRefutation 0.240000s
% 0.17/0.80 %-------------------------------------------
% 0.17/0.81 %--------------------------------------------------------------------------
% 0.17/0.81 % File : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% 0.17/0.81 % Domain : Geometry
% 0.17/0.81 % Problem : First outer transitivity property for betweenness
% 0.17/0.81 % Version : [Qua89] axioms : Augmented.
% 0.17/0.81 % English :
% 0.17/0.81
% 0.17/0.81 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.17/0.81 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.17/0.81 % Source : [Qua89]
% 0.17/0.81 % Names : B6 [Qua89]
% 0.17/0.81
% 0.17/0.81 % Status : Unsatisfiable
% 0.17/0.81 % Rating : 0.38 v8.1.0, 0.32 v7.5.0, 0.26 v7.4.0, 0.35 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.40 v6.4.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.36 v6.0.0, 0.30 v5.5.0, 0.60 v5.3.0, 0.67 v5.2.0, 0.56 v5.1.0, 0.59 v5.0.0, 0.57 v4.1.0, 0.54 v4.0.1, 0.55 v4.0.0, 0.45 v3.7.0, 0.30 v3.5.0, 0.45 v3.4.0, 0.33 v3.3.0, 0.29 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.42 v2.6.0, 0.30 v2.5.0, 0.25 v2.4.0, 0.33 v2.3.0, 0.22 v2.2.1, 0.44 v2.2.0, 0.33 v2.1.0, 0.44 v2.0.0
% 0.17/0.81 % Syntax : Number of clauses : 57 ( 21 unt; 11 nHn; 40 RR)
% 0.17/0.81 % Number of literals : 137 ( 32 equ; 72 neg)
% 0.17/0.81 % Maximal clause size : 8 ( 2 avg)
% 0.17/0.81 % Maximal term depth : 3 ( 1 avg)
% 0.17/0.81 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.17/0.81 % Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% 0.17/0.81 % Number of variables : 184 ( 10 sgn)
% 0.17/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.17/0.81
% 0.17/0.81 % Comments :
% 0.17/0.81 %--------------------------------------------------------------------------
% 0.17/0.81 %----Include Tarski geometry axioms
% 0.17/0.81 include('Axioms/GEO002-0.ax').
% 0.17/0.81 %----Include definition of reflection
% 0.17/0.81 include('Axioms/GEO002-2.ax').
% 0.17/0.81 %--------------------------------------------------------------------------
% 0.17/0.81 cnf(d1,axiom,
% 0.17/0.81 equidistant(U,V,U,V) ).
% 0.17/0.81
% 0.17/0.81 cnf(d2,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | equidistant(W,X,U,V) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d3,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | equidistant(V,U,W,X) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d4_1,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | equidistant(U,V,X,W) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d4_2,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | equidistant(V,U,X,W) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d4_3,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | equidistant(W,X,V,U) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d4_4,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | equidistant(X,W,U,V) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d4_5,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | equidistant(X,W,V,U) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d5,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,W,X)
% 0.17/0.81 | ~ equidistant(W,X,Y,Z)
% 0.17/0.81 | equidistant(U,V,Y,Z) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(e1,axiom,
% 0.17/0.81 V = extension(U,V,W,W) ).
% 0.17/0.81
% 0.17/0.81 cnf(b0,axiom,
% 0.17/0.81 ( Y != extension(U,V,W,X)
% 0.17/0.81 | between(U,V,Y) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(r2_1,axiom,
% 0.17/0.81 between(U,V,reflection(U,V)) ).
% 0.17/0.81
% 0.17/0.81 cnf(r2_2,axiom,
% 0.17/0.81 equidistant(V,reflection(U,V),U,V) ).
% 0.17/0.81
% 0.17/0.81 cnf(r3_1,axiom,
% 0.17/0.81 ( U != V
% 0.17/0.81 | V = reflection(U,V) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(r3_2,axiom,
% 0.17/0.81 U = reflection(U,U) ).
% 0.17/0.81
% 0.17/0.81 cnf(r4,axiom,
% 0.17/0.81 ( V != reflection(U,V)
% 0.17/0.81 | U = V ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d7,axiom,
% 0.17/0.81 equidistant(U,U,V,V) ).
% 0.17/0.81
% 0.17/0.81 cnf(d8,axiom,
% 0.17/0.81 ( ~ equidistant(U,V,U1,V1)
% 0.17/0.81 | ~ equidistant(V,W,V1,W1)
% 0.17/0.81 | ~ between(U,V,W)
% 0.17/0.81 | ~ between(U1,V1,W1)
% 0.17/0.81 | equidistant(U,W,U1,W1) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d9,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | ~ between(U,V,X)
% 0.17/0.81 | ~ equidistant(V,W,V,X)
% 0.17/0.81 | U = V
% 0.17/0.81 | W = X ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d10_1,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | U = V
% 0.17/0.81 | W = extension(U,V,V,W) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d10_2,axiom,
% 0.17/0.81 ( ~ equidistant(W,X,Y,Z)
% 0.17/0.81 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.17/0.81 | U = V ) ).
% 0.17/0.81
% 0.17/0.81 cnf(d10_3,axiom,
% 0.17/0.81 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.17/0.81 | U = V ) ).
% 0.17/0.81
% 0.17/0.81 cnf(r5,axiom,
% 0.17/0.81 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.17/0.81
% 0.17/0.81 cnf(r6,axiom,
% 0.17/0.81 U = reflection(reflection(U,V),V) ).
% 0.17/0.81
% 0.17/0.81 cnf(t3,axiom,
% 0.17/0.81 between(U,V,V) ).
% 0.17/0.81
% 0.17/0.81 cnf(b1,axiom,
% 0.17/0.81 ( ~ between(U,W,X)
% 0.17/0.81 | U != X
% 0.17/0.81 | between(V,W,X) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(t1,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | between(W,V,U) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(t2,axiom,
% 0.17/0.81 between(U,U,V) ).
% 0.17/0.81
% 0.17/0.81 cnf(b2,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | ~ between(V,U,W)
% 0.17/0.81 | U = V ) ).
% 0.17/0.81
% 0.17/0.81 cnf(b3,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | ~ between(U,W,V)
% 0.17/0.81 | V = W ) ).
% 0.17/0.81
% 0.17/0.81 cnf(t6_1,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | ~ between(V,U,W)
% 0.17/0.81 | U = V
% 0.17/0.81 | V = W ) ).
% 0.17/0.81
% 0.17/0.81 cnf(t6_2,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | ~ between(U,W,V)
% 0.17/0.81 | U = V
% 0.17/0.81 | V = W ) ).
% 0.17/0.81
% 0.17/0.81 cnf(b4,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | ~ between(V,W,X)
% 0.17/0.81 | between(U,V,W) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(b5,axiom,
% 0.17/0.81 ( ~ between(U,V,W)
% 0.17/0.81 | ~ between(U,W,X)
% 0.17/0.81 | between(V,W,X) ) ).
% 0.17/0.81
% 0.17/0.81 cnf(v_between_u_and_w,hypothesis,
% 0.17/0.81 between(u,v,w) ).
% 0.17/0.81
% 0.17/0.81 cnf(w_between_v_and_x,hypothesis,
% 0.17/0.81 between(v,w,x) ).
% 0.17/0.81
% 0.17/0.81 cnf(v_not_w,hypothesis,
% 0.17/0.81 v != w ).
% 0.17/0.81
% 0.17/0.81 cnf(prove_w_between_u_and_x,negated_conjecture,
% 0.17/0.81 ~ between(u,w,x) ).
% 0.17/0.81
% 0.17/0.81 %--------------------------------------------------------------------------
% 0.17/0.81 %-------------------------------------------
% 0.17/0.81 % Proof found
% 0.17/0.81 % SZS status Theorem for theBenchmark
% 0.17/0.81 % SZS output start Proof
% 0.17/0.81 %ClaNum:90(EqnAxiom:35)
% 0.17/0.81 %VarNum:449(SingletonVarNum:167)
% 0.17/0.81 %MaxLitNum:8
% 0.17/0.81 %MaxfuncDepth:2
% 0.17/0.81 %SharedTerms:14
% 0.17/0.81 %goalClause: 55
% 0.17/0.81 %singleGoalClaCount:1
% 0.17/0.81 [36]P1(a1,a10,a11)
% 0.17/0.81 [37]P1(a10,a11,a12)
% 0.17/0.81 [51]~E(a11,a10)
% 0.17/0.81 [52]~P1(a6,a8,a9)
% 0.17/0.81 [53]~P1(a8,a9,a6)
% 0.17/0.81 [54]~P1(a9,a6,a8)
% 0.17/0.81 [55]~P1(a1,a11,a12)
% 0.17/0.81 [38]P1(x381,x382,x382)
% 0.17/0.81 [39]P1(x391,x391,x392)
% 0.17/0.81 [40]P2(x401,x402,x402,x401)
% 0.17/0.81 [41]P2(x411,x412,x411,x412)
% 0.17/0.81 [42]P2(x421,x421,x422,x422)
% 0.17/0.81 [49]E(f2(f2(x491,x492,x491,x492),x492,f2(x491,x492,x491,x492),x492),x491)
% 0.17/0.81 [50]P2(x501,x502,x501,f2(f2(x502,x501,x502,x501),x501,f2(x502,x501,x502,x501),x501))
% 0.17/0.81 [43]E(f2(x431,x432,x433,x433),x432)
% 0.17/0.81 [45]P1(x451,x452,f2(x451,x452,x453,x454))
% 0.17/0.81 [47]P2(x471,f2(x472,x471,x473,x474),x473,x474)
% 0.17/0.81 [56]~P1(x561,x562,x561)+E(x561,x562)
% 0.17/0.81 [64]~E(x641,x642)+E(f2(x641,x642,x641,x642),x642)
% 0.17/0.81 [67]E(x671,x672)+~E(f2(x672,x671,x672,x671),x671)
% 0.17/0.81 [69]E(x691,x692)+E(f2(x691,x692,x691,x692),f2(x691,x692,x692,x691))
% 0.17/0.81 [57]~P1(x573,x572,x571)+P1(x571,x572,x573)
% 0.17/0.81 [66]~P2(x661,x662,x663,x663)+E(x661,x662)
% 0.17/0.81 [71]~P2(x714,x713,x712,x711)+P2(x711,x712,x713,x714)
% 0.17/0.81 [72]~P2(x723,x724,x722,x721)+P2(x721,x722,x723,x724)
% 0.17/0.81 [73]~P2(x734,x733,x731,x732)+P2(x731,x732,x733,x734)
% 0.17/0.81 [74]~P2(x743,x744,x741,x742)+P2(x741,x742,x743,x744)
% 0.17/0.81 [75]~P2(x752,x751,x754,x753)+P2(x751,x752,x753,x754)
% 0.17/0.81 [76]~P2(x762,x761,x763,x764)+P2(x761,x762,x763,x764)
% 0.17/0.81 [77]~P2(x771,x772,x774,x773)+P2(x771,x772,x773,x774)
% 0.17/0.81 [68]P1(x681,x682,x683)+~E(x683,f2(x681,x682,x684,x685))
% 0.17/0.81 [59]~P1(x593,x591,x592)+E(x591,x592)+~P1(x593,x592,x591)
% 0.17/0.81 [60]~P1(x601,x602,x603)+E(x601,x602)+~P1(x602,x601,x603)
% 0.17/0.81 [65]~P1(x651,x652,x653)+E(x651,x652)+E(f2(x651,x652,x652,x653),x653)
% 0.17/0.81 [58]~P1(x584,x582,x583)+P1(x581,x582,x583)+~E(x584,x583)
% 0.17/0.81 [63]~P1(x634,x631,x632)+P1(x631,x632,x633)+~P1(x634,x632,x633)
% 0.17/0.81 [84]~P1(x845,x841,x844)+~P1(x842,x843,x844)+P1(x841,f7(x842,x843,x844,x841,x845),x842)
% 0.17/0.81 [85]~P1(x855,x854,x853)+~P1(x852,x851,x853)+P1(x851,f7(x852,x851,x853,x854,x855),x855)
% 0.17/0.81 [79]~P2(x795,x796,x791,x792)+P2(x791,x792,x793,x794)+~P2(x795,x796,x793,x794)
% 0.17/0.81 [80]~P2(x801,x802,x805,x806)+P2(x801,x802,x803,x804)+~P2(x805,x806,x803,x804)
% 0.17/0.81 [78]~P2(x783,x784,x785,x786)+E(x781,x782)+E(f2(x781,x782,x783,x784),f2(x781,x782,x785,x786))
% 0.17/0.81 [86]~P1(x864,x862,x863)+~P1(x861,x862,x865)+E(x861,x862)+P1(x861,x863,f3(x861,x864,x862,x863,x865))
% 0.17/0.81 [87]~P1(x873,x872,x874)+~P1(x871,x872,x875)+E(x871,x872)+P1(x871,x873,f4(x871,x873,x872,x874,x875))
% 0.17/0.81 [88]~P1(x883,x882,x884)+~P1(x881,x882,x885)+E(x881,x882)+P1(f4(x881,x883,x882,x884,x885),x885,f3(x881,x883,x882,x884,x885))
% 0.17/0.81 [70]~P1(x703,x704,x702)+~P1(x703,x704,x701)+~P2(x704,x701,x704,x702)+E(x701,x702)+E(x703,x704)
% 0.17/0.81 [81]~P2(x816,x812,x815,x814)+~P2(x811,x816,x813,x815)+P2(x811,x812,x813,x814)+~P1(x813,x815,x814)+~P1(x811,x816,x812)
% 0.17/0.81 [89]~P1(x893,x894,x895)+~P1(x892,x893,x895)+~P2(x892,x895,x892,x896)+~P2(x892,x893,x892,x891)+P1(x891,f5(x892,x893,x891,x894,x895,x896),x896)
% 0.17/0.81 [90]~P1(x903,x902,x905)+~P1(x901,x903,x905)+~P2(x901,x905,x901,x906)+~P2(x901,x903,x901,x904)+P2(x901,x902,x901,f5(x901,x903,x904,x902,x905,x906))
% 0.17/0.81 [82]P1(x825,x823,x824)+P1(x824,x825,x823)+~P2(x823,x821,x823,x822)+~P2(x825,x821,x825,x822)+~P2(x824,x821,x824,x822)+E(x821,x822)+P1(x823,x824,x825)
% 0.17/0.81 [83]~P1(x831,x832,x833)+~P2(x832,x834,x838,x836)+~P2(x832,x833,x838,x835)+~P2(x831,x834,x837,x836)+~P2(x831,x832,x837,x838)+E(x831,x832)+P2(x833,x834,x835,x836)+~P1(x837,x838,x835)
% 0.17/0.81 %EqnAxiom
% 0.17/0.81 [1]E(x11,x11)
% 0.17/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.81 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.17/0.81 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.17/0.81 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.17/0.81 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.17/0.81 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 0.17/0.81 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 0.17/0.81 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 0.17/0.81 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 0.17/0.81 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 0.17/0.81 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 0.17/0.81 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 0.17/0.81 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 0.17/0.81 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 0.17/0.81 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 0.17/0.81 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 0.17/0.81 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 0.17/0.81 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 0.17/0.81 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 0.17/0.81 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 0.17/0.81 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 0.17/0.81 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 0.17/0.81 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 0.17/0.81 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 0.17/0.81 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 0.17/0.81 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 0.17/0.81 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.17/0.81 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.17/0.81 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.17/0.81 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.17/0.81 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.17/0.81 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.17/0.81 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.17/0.81
% 0.17/0.81 %-------------------------------------------
% 0.61/0.82 cnf(91,plain,
% 0.61/0.82 (E(x911,f2(x912,x911,x913,x913))),
% 0.61/0.82 inference(scs_inference,[],[43,2])).
% 0.61/0.82 cnf(92,plain,
% 0.61/0.82 (~P2(a11,a10,x921,x921)),
% 0.61/0.82 inference(scs_inference,[],[51,43,2,66])).
% 0.61/0.82 cnf(99,plain,
% 0.61/0.82 (E(f2(x991,x992,x993,x993),x992)),
% 0.61/0.82 inference(rename_variables,[],[43])).
% 0.61/0.82 cnf(101,plain,
% 0.61/0.82 (~E(a10,a11)),
% 0.61/0.82 inference(scs_inference,[],[55,41,51,43,2,66,57,56,68,35])).
% 0.61/0.82 cnf(102,plain,
% 0.61/0.82 (P2(x1021,x1022,x1021,x1022)),
% 0.61/0.82 inference(rename_variables,[],[41])).
% 0.61/0.82 cnf(104,plain,
% 0.61/0.82 (P2(x1041,x1042,x1041,x1042)),
% 0.61/0.82 inference(rename_variables,[],[41])).
% 0.61/0.82 cnf(106,plain,
% 0.61/0.82 (P2(x1061,f2(x1062,x1061,x1063,x1064),x1063,x1064)),
% 0.61/0.82 inference(rename_variables,[],[47])).
% 0.61/0.82 cnf(108,plain,
% 0.61/0.82 (P2(x1081,x1082,x1082,x1081)),
% 0.61/0.82 inference(rename_variables,[],[40])).
% 0.61/0.82 cnf(109,plain,
% 0.61/0.82 (~E(a11,a12)),
% 0.61/0.82 inference(scs_inference,[],[55,40,41,102,38,51,47,43,99,2,66,57,56,68,35,34,33,32,31])).
% 0.61/0.82 cnf(110,plain,
% 0.61/0.82 (P1(x1101,x1102,x1102)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(111,plain,
% 0.61/0.82 (~E(a12,a11)),
% 0.61/0.82 inference(scs_inference,[],[55,40,41,102,38,110,51,47,43,99,2,66,57,56,68,35,34,33,32,31,30])).
% 0.61/0.82 cnf(112,plain,
% 0.61/0.82 (P1(x1121,x1122,x1122)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(114,plain,
% 0.61/0.82 (P1(x1141,x1141,x1142)),
% 0.61/0.82 inference(rename_variables,[],[39])).
% 0.61/0.82 cnf(115,plain,
% 0.61/0.82 (~E(a11,f2(x1151,a10,x1152,x1152))),
% 0.61/0.82 inference(scs_inference,[],[55,40,41,102,38,110,39,51,47,43,99,2,66,57,56,68,35,34,33,32,31,30,29,3])).
% 0.61/0.82 cnf(116,plain,
% 0.61/0.82 (E(f2(x1161,x1162,x1163,x1163),x1162)),
% 0.61/0.82 inference(rename_variables,[],[43])).
% 0.61/0.82 cnf(118,plain,
% 0.61/0.82 (P2(x1181,f2(x1182,x1181,x1183,x1184),x1183,x1184)),
% 0.61/0.82 inference(rename_variables,[],[47])).
% 0.61/0.82 cnf(119,plain,
% 0.61/0.82 (P2(x1191,x1192,x1192,x1191)),
% 0.61/0.82 inference(rename_variables,[],[40])).
% 0.61/0.82 cnf(122,plain,
% 0.61/0.82 (P2(x1221,x1222,x1221,f2(f2(x1222,x1221,x1222,x1221),x1221,f2(x1222,x1221,x1222,x1221),x1221))),
% 0.61/0.82 inference(rename_variables,[],[50])).
% 0.61/0.82 cnf(125,plain,
% 0.61/0.82 (P1(x1251,x1252,x1252)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(128,plain,
% 0.61/0.82 (P1(x1281,x1281,x1282)),
% 0.61/0.82 inference(rename_variables,[],[39])).
% 0.61/0.82 cnf(136,plain,
% 0.61/0.82 (P2(x1361,x1362,x1363,f2(x1364,x1363,x1361,x1362))),
% 0.61/0.82 inference(scs_inference,[],[55,40,108,119,41,102,38,110,112,39,114,51,47,106,118,43,99,50,2,66,57,56,68,35,34,33,32,31,30,29,3,80,79,60,59,77,76,75,74])).
% 0.61/0.82 cnf(167,plain,
% 0.61/0.82 (E(f2(x1671,f2(x1672,x1673,x1674,x1674),x1675,x1676),f2(x1671,x1673,x1675,x1676))),
% 0.61/0.82 inference(scs_inference,[],[55,40,108,119,41,102,38,110,112,39,114,51,47,106,118,43,99,116,50,2,66,57,56,68,35,34,33,32,31,30,29,3,80,79,60,59,77,76,75,74,73,72,71,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.61/0.82 cnf(169,plain,
% 0.61/0.82 (~E(f2(a10,a11,a10,a11),a11)),
% 0.61/0.82 inference(scs_inference,[],[55,40,108,119,41,102,38,110,112,39,114,51,47,106,118,43,99,116,50,2,66,57,56,68,35,34,33,32,31,30,29,3,80,79,60,59,77,76,75,74,73,72,71,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,67])).
% 0.61/0.82 cnf(179,plain,
% 0.61/0.82 (P1(x1791,f7(x1792,x1791,x1791,x1791,x1792),x1792)),
% 0.61/0.82 inference(scs_inference,[],[55,40,108,119,41,102,38,110,112,125,39,114,36,51,47,106,118,43,99,116,50,2,66,57,56,68,35,34,33,32,31,30,29,3,80,79,60,59,77,76,75,74,73,72,71,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,67,64,69,63,58,85])).
% 0.61/0.82 cnf(181,plain,
% 0.61/0.82 (P1(x1811,f7(x1812,x1813,x1813,x1811,x1811),x1812)),
% 0.61/0.82 inference(scs_inference,[],[55,40,108,119,41,102,38,110,112,125,39,114,128,36,51,47,106,118,43,99,116,50,2,66,57,56,68,35,34,33,32,31,30,29,3,80,79,60,59,77,76,75,74,73,72,71,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,67,64,69,63,58,85,84])).
% 0.61/0.82 cnf(188,plain,
% 0.61/0.82 (P1(x1881,x1882,x1882)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(192,plain,
% 0.61/0.82 (P1(x1921,x1922,x1922)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(194,plain,
% 0.61/0.82 (P2(f2(x1941,x1941,x1941,x1941),x1941,f2(x1941,x1941,x1941,x1941),f2(f2(x1941,x1941,x1941,x1941),x1941,f2(x1941,x1941,x1941,x1941),x1941))),
% 0.61/0.82 inference(scs_inference,[],[55,40,108,119,41,102,104,38,110,112,125,188,192,39,114,128,36,51,47,106,118,45,43,99,116,50,122,2,66,57,56,68,35,34,33,32,31,30,29,3,80,79,60,59,77,76,75,74,73,72,71,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,67,64,69,63,58,85,84,78,86,88,81])).
% 0.61/0.82 cnf(196,plain,
% 0.61/0.82 (P1(x1961,x1962,x1962)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(201,plain,
% 0.61/0.82 (P1(x2011,x2012,x2012)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(206,plain,
% 0.61/0.82 (P1(x2061,x2062,x2062)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(207,plain,
% 0.61/0.82 (P2(x2071,x2072,x2072,x2071)),
% 0.61/0.82 inference(rename_variables,[],[40])).
% 0.61/0.82 cnf(209,plain,
% 0.61/0.82 (P1(x2091,f5(x2091,x2091,x2091,x2091,x2091,x2091),x2091)),
% 0.61/0.82 inference(scs_inference,[],[55,40,108,119,207,41,102,104,38,110,112,125,188,192,196,201,206,39,114,128,36,51,47,106,118,45,43,99,116,50,122,2,66,57,56,68,35,34,33,32,31,30,29,3,80,79,60,59,77,76,75,74,73,72,71,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,67,64,69,63,58,85,84,78,86,88,81,70,90,89])).
% 0.61/0.82 cnf(228,plain,
% 0.61/0.82 (~E(a12,f2(a1,a11,x2281,x2282))),
% 0.61/0.82 inference(scs_inference,[],[55,37,209,57,56,68])).
% 0.61/0.82 cnf(231,plain,
% 0.61/0.82 (P2(x2311,f2(x2312,x2311,x2313,x2314),x2313,x2314)),
% 0.61/0.82 inference(rename_variables,[],[47])).
% 0.61/0.82 cnf(232,plain,
% 0.61/0.82 (P1(x2321,x2322,x2322)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(233,plain,
% 0.61/0.82 (P2(x2331,x2332,x2331,x2332)),
% 0.61/0.82 inference(rename_variables,[],[41])).
% 0.61/0.82 cnf(234,plain,
% 0.61/0.82 (P1(x2341,x2341,x2342)),
% 0.61/0.82 inference(rename_variables,[],[39])).
% 0.61/0.82 cnf(242,plain,
% 0.61/0.82 (~E(f2(x2421,a10,x2422,x2422),a11)),
% 0.61/0.82 inference(scs_inference,[],[55,37,41,38,39,47,209,92,115,111,57,56,68,90,84,71,59,2])).
% 0.61/0.82 cnf(244,plain,
% 0.61/0.82 (E(f2(f2(x2441,x2442,x2441,x2442),x2442,f2(x2441,x2442,x2441,x2442),x2442),x2441)),
% 0.61/0.82 inference(rename_variables,[],[49])).
% 0.61/0.82 cnf(246,plain,
% 0.61/0.82 (E(f2(f2(x2461,x2462,x2461,x2462),x2462,f2(x2461,x2462,x2461,x2462),x2462),x2461)),
% 0.61/0.82 inference(rename_variables,[],[49])).
% 0.61/0.82 cnf(248,plain,
% 0.61/0.82 (P1(x2481,x2482,x2482)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(252,plain,
% 0.61/0.82 (P1(a10,a12,f3(a10,a10,a11,a12,a12))),
% 0.61/0.82 inference(scs_inference,[],[55,42,49,244,37,41,38,232,39,47,51,209,92,101,115,111,57,56,68,90,84,71,59,2,31,30,85,78,86])).
% 0.61/0.82 cnf(257,plain,
% 0.61/0.82 (P2(x2571,f2(x2572,x2571,x2573,x2574),x2573,x2574)),
% 0.61/0.82 inference(rename_variables,[],[47])).
% 0.61/0.82 cnf(258,plain,
% 0.61/0.82 (P1(x2581,x2582,x2582)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(263,plain,
% 0.61/0.82 (E(f2(f2(x2631,x2632,x2631,x2632),x2632,f2(x2631,x2632,x2631,x2632),x2632),x2631)),
% 0.61/0.82 inference(rename_variables,[],[49])).
% 0.61/0.82 cnf(272,plain,
% 0.61/0.82 (E(f2(f2(x2721,x2722,x2721,x2722),x2722,f2(x2721,x2722,x2721,x2722),x2722),x2721)),
% 0.61/0.82 inference(rename_variables,[],[49])).
% 0.61/0.82 cnf(281,plain,
% 0.61/0.82 (E(f2(f2(x2811,x2812,x2811,x2812),x2812,f2(x2811,x2812,x2811,x2812),x2812),x2811)),
% 0.61/0.82 inference(rename_variables,[],[49])).
% 0.61/0.82 cnf(283,plain,
% 0.61/0.82 (~P2(f2(f2(a11,x2831,a11,x2831),x2831,f2(a11,x2831,a11,x2831),x2831),a10,x2832,x2832)),
% 0.61/0.82 inference(scs_inference,[],[55,42,49,244,246,263,272,281,37,40,41,233,38,232,248,39,234,47,231,257,51,209,92,101,115,111,57,56,68,90,84,71,59,2,31,30,85,78,86,88,89,29,80,60,75,33,79,76,63,58,32])).
% 0.61/0.82 cnf(284,plain,
% 0.61/0.82 (E(f2(f2(x2841,x2842,x2841,x2842),x2842,f2(x2841,x2842,x2841,x2842),x2842),x2841)),
% 0.61/0.82 inference(rename_variables,[],[49])).
% 0.61/0.82 cnf(288,plain,
% 0.61/0.82 (~P2(a11,a10,x2881,x2881)),
% 0.61/0.82 inference(rename_variables,[],[92])).
% 0.61/0.82 cnf(295,plain,
% 0.61/0.82 (~P2(a11,a12,a11,a11)),
% 0.61/0.82 inference(scs_inference,[],[55,42,49,244,246,263,272,281,284,37,40,41,233,38,232,248,258,39,234,47,231,257,51,209,91,92,288,101,115,111,57,56,68,90,84,71,59,2,31,30,85,78,86,88,89,29,80,60,75,33,79,76,63,58,32,3,34,35,65,74,70])).
% 0.61/0.82 cnf(298,plain,
% 0.61/0.82 (~P2(x2981,x2981,x2982,f2(x2983,x2982,a11,a10))),
% 0.61/0.82 inference(scs_inference,[],[55,42,49,244,246,263,272,281,284,37,40,41,233,38,232,248,258,39,234,47,231,257,51,209,91,92,288,101,115,111,57,56,68,90,84,71,59,2,31,30,85,78,86,88,89,29,80,60,75,33,79,76,63,58,32,3,34,35,65,74,70,73])).
% 0.61/0.82 cnf(319,plain,
% 0.61/0.82 (P2(x3191,x3192,x3191,f2(f2(x3192,x3191,x3192,x3191),x3191,f2(x3192,x3191,x3192,x3191),x3191))),
% 0.61/0.82 inference(rename_variables,[],[50])).
% 0.61/0.82 cnf(320,plain,
% 0.61/0.82 (P1(x3201,x3202,x3202)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(324,plain,
% 0.61/0.82 (P1(x3241,f7(x3242,x3241,x3241,x3241,x3242),x3242)),
% 0.61/0.82 inference(rename_variables,[],[179])).
% 0.61/0.82 cnf(325,plain,
% 0.61/0.82 (P1(x3251,x3252,x3252)),
% 0.61/0.82 inference(rename_variables,[],[38])).
% 0.61/0.82 cnf(330,plain,
% 0.61/0.82 (P2(x3301,x3301,x3302,x3302)),
% 0.61/0.82 inference(rename_variables,[],[42])).
% 0.61/0.82 cnf(346,plain,
% 0.61/0.82 (E(x3461,f2(x3462,x3461,x3463,x3463))),
% 0.61/0.82 inference(rename_variables,[],[91])).
% 0.61/0.82 cnf(348,plain,
% 0.61/0.82 (P1(x3481,x3482,f2(x3481,x3482,x3483,x3484))),
% 0.61/0.82 inference(rename_variables,[],[45])).
% 0.61/0.82 cnf(351,plain,
% 0.61/0.82 (P1(x3511,x3512,f2(x3511,x3512,x3513,x3514))),
% 0.61/0.82 inference(rename_variables,[],[45])).
% 0.61/0.82 cnf(356,plain,
% 0.61/0.82 (P1(a10,a11,f2(a1,a11,x3561,x3562))),
% 0.61/0.82 inference(scs_inference,[],[36,52,42,91,50,319,49,41,38,320,325,39,45,348,351,51,179,324,167,109,252,295,56,68,57,90,60,71,80,59,74,77,72,87,30,86,88,2,75,63])).
% 0.61/0.82 cnf(368,plain,
% 0.61/0.82 (E(x3681,f2(x3682,x3681,x3683,x3683))),
% 0.61/0.82 inference(rename_variables,[],[91])).
% 0.61/0.82 cnf(371,plain,
% 0.61/0.82 (P2(x3711,x3711,f2(x3712,x3713,x3714,x3714),x3713)),
% 0.61/0.82 inference(scs_inference,[],[36,52,42,330,91,346,368,50,319,49,40,41,38,320,325,39,45,348,351,51,194,179,324,167,298,109,252,295,56,68,57,90,60,71,80,59,74,77,72,87,30,86,88,2,75,63,76,79,73,31,3,34])).
% 0.61/0.82 cnf(422,plain,
% 0.61/0.82 (P1(x4221,x4222,f2(x4221,x4222,x4223,x4224))),
% 0.61/0.82 inference(rename_variables,[],[45])).
% 0.61/0.82 cnf(431,plain,
% 0.61/0.82 ($false),
% 0.61/0.82 inference(scs_inference,[],[36,53,42,38,45,422,37,51,181,371,283,242,228,356,136,169,101,57,56,90,68,67,60,59,72,75,70]),
% 0.61/0.82 ['proof']).
% 0.61/0.82 % SZS output end Proof
% 0.61/0.82 % Total time :0.240000s
%------------------------------------------------------------------------------