TSTP Solution File: GEO048-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO048-3 : 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 : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:42:38 EDT 2023
% Result : Unsatisfiable 1.21s 1.31s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO048-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:08:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.43/0.57 start to proof:theBenchmark
% 1.21/1.30 %-------------------------------------------
% 1.21/1.30 % File :CSE---1.6
% 1.21/1.30 % Problem :theBenchmark
% 1.21/1.30 % Transform :cnf
% 1.21/1.30 % Format :tptp:raw
% 1.21/1.30 % Command :java -jar mcs_scs.jar %d %s
% 1.21/1.30
% 1.21/1.30 % Result :Theorem 0.670000s
% 1.21/1.30 % Output :CNFRefutation 0.670000s
% 1.21/1.30 %-------------------------------------------
% 1.21/1.30 %--------------------------------------------------------------------------
% 1.21/1.30 % File : GEO048-3 : TPTP v8.1.2. Released v1.0.0.
% 1.21/1.30 % Domain : Geometry
% 1.21/1.30 % Problem : Inner points of triangle
% 1.21/1.30 % Version : [Qua89] axioms : Augmented.
% 1.21/1.30 % English :
% 1.21/1.30
% 1.21/1.30 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 1.21/1.30 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 1.21/1.30 % Source : [Qua89]
% 1.21/1.30 % Names : B10 [Qua89]
% 1.21/1.30
% 1.21/1.30 % Status : Unsatisfiable
% 1.21/1.30 % Rating : 0.05 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.07 v6.0.0, 0.20 v5.5.0, 0.50 v5.4.0, 0.45 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0, 0.46 v4.0.1, 0.45 v4.0.0, 0.36 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.42 v3.3.0, 0.43 v3.2.0, 0.46 v3.1.0, 0.36 v2.7.0, 0.50 v2.6.0, 0.40 v2.5.0, 0.50 v2.4.0, 0.33 v2.2.1, 0.33 v2.2.0, 0.22 v2.1.0, 0.44 v2.0.0
% 1.21/1.30 % Syntax : Number of clauses : 68 ( 28 unt; 13 nHn; 49 RR)
% 1.21/1.30 % Number of literals : 158 ( 37 equ; 84 neg)
% 1.21/1.30 % Maximal clause size : 8 ( 2 avg)
% 1.21/1.30 % Maximal term depth : 3 ( 1 avg)
% 1.21/1.31 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 1.21/1.31 % Number of functors : 15 ( 15 usr; 9 con; 0-6 aty)
% 1.21/1.31 % Number of variables : 208 ( 13 sgn)
% 1.21/1.31 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.21/1.31
% 1.21/1.31 % Comments :
% 1.21/1.31 %--------------------------------------------------------------------------
% 1.21/1.31 %----Include Tarski geometry axioms
% 1.21/1.31 include('Axioms/GEO002-0.ax').
% 1.21/1.31 %----Include definition of reflection
% 1.21/1.31 include('Axioms/GEO002-2.ax').
% 1.21/1.31 %--------------------------------------------------------------------------
% 1.21/1.31 cnf(d1,axiom,
% 1.21/1.31 equidistant(U,V,U,V) ).
% 1.21/1.31
% 1.21/1.31 cnf(d2,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | equidistant(W,X,U,V) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d3,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | equidistant(V,U,W,X) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d4_1,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | equidistant(U,V,X,W) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d4_2,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | equidistant(V,U,X,W) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d4_3,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | equidistant(W,X,V,U) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d4_4,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | equidistant(X,W,U,V) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d4_5,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | equidistant(X,W,V,U) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d5,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,W,X)
% 1.21/1.31 | ~ equidistant(W,X,Y,Z)
% 1.21/1.31 | equidistant(U,V,Y,Z) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(e1,axiom,
% 1.21/1.31 V = extension(U,V,W,W) ).
% 1.21/1.31
% 1.21/1.31 cnf(b0,axiom,
% 1.21/1.31 ( Y != extension(U,V,W,X)
% 1.21/1.31 | between(U,V,Y) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(r2_1,axiom,
% 1.21/1.31 between(U,V,reflection(U,V)) ).
% 1.21/1.31
% 1.21/1.31 cnf(r2_2,axiom,
% 1.21/1.31 equidistant(V,reflection(U,V),U,V) ).
% 1.21/1.31
% 1.21/1.31 cnf(r3_1,axiom,
% 1.21/1.31 ( U != V
% 1.21/1.31 | V = reflection(U,V) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(r3_2,axiom,
% 1.21/1.31 U = reflection(U,U) ).
% 1.21/1.31
% 1.21/1.31 cnf(r4,axiom,
% 1.21/1.31 ( V != reflection(U,V)
% 1.21/1.31 | U = V ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d7,axiom,
% 1.21/1.31 equidistant(U,U,V,V) ).
% 1.21/1.31
% 1.21/1.31 cnf(d8,axiom,
% 1.21/1.31 ( ~ equidistant(U,V,U1,V1)
% 1.21/1.31 | ~ equidistant(V,W,V1,W1)
% 1.21/1.31 | ~ between(U,V,W)
% 1.21/1.31 | ~ between(U1,V1,W1)
% 1.21/1.31 | equidistant(U,W,U1,W1) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d9,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(U,V,X)
% 1.21/1.31 | ~ equidistant(V,W,V,X)
% 1.21/1.31 | U = V
% 1.21/1.31 | W = X ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d10_1,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | U = V
% 1.21/1.31 | W = extension(U,V,V,W) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d10_2,axiom,
% 1.21/1.31 ( ~ equidistant(W,X,Y,Z)
% 1.21/1.31 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 1.21/1.31 | U = V ) ).
% 1.21/1.31
% 1.21/1.31 cnf(d10_3,axiom,
% 1.21/1.31 ( extension(U,V,U,V) = extension(U,V,V,U)
% 1.21/1.31 | U = V ) ).
% 1.21/1.31
% 1.21/1.31 cnf(r5,axiom,
% 1.21/1.31 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 1.21/1.31
% 1.21/1.31 cnf(r6,axiom,
% 1.21/1.31 U = reflection(reflection(U,V),V) ).
% 1.21/1.31
% 1.21/1.31 cnf(t3,axiom,
% 1.21/1.31 between(U,V,V) ).
% 1.21/1.31
% 1.21/1.31 cnf(b1,axiom,
% 1.21/1.31 ( ~ between(U,W,X)
% 1.21/1.31 | U != X
% 1.21/1.31 | between(V,W,X) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(t1,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | between(W,V,U) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(t2,axiom,
% 1.21/1.31 between(U,U,V) ).
% 1.21/1.31
% 1.21/1.31 cnf(b2,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(V,U,W)
% 1.21/1.31 | U = V ) ).
% 1.21/1.31
% 1.21/1.31 cnf(b3,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(U,W,V)
% 1.21/1.31 | V = W ) ).
% 1.21/1.31
% 1.21/1.31 cnf(t6_1,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(V,U,W)
% 1.21/1.31 | U = V
% 1.21/1.31 | V = W ) ).
% 1.21/1.31
% 1.21/1.31 cnf(t6_2,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(U,W,V)
% 1.21/1.31 | U = V
% 1.21/1.31 | V = W ) ).
% 1.21/1.31
% 1.21/1.31 cnf(b4,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(V,W,X)
% 1.21/1.31 | between(U,V,W) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(b5,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(U,W,X)
% 1.21/1.31 | between(V,W,X) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(b6,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(V,W,X)
% 1.21/1.31 | between(U,W,X)
% 1.21/1.31 | V = W ) ).
% 1.21/1.31
% 1.21/1.31 cnf(b7,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(V,W,X)
% 1.21/1.31 | between(U,V,X)
% 1.21/1.31 | V = W ) ).
% 1.21/1.31
% 1.21/1.31 cnf(b8,axiom,
% 1.21/1.31 ( ~ between(U,V,X)
% 1.21/1.31 | ~ between(V,W,X)
% 1.21/1.31 | between(U,W,X) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(b9,axiom,
% 1.21/1.31 ( ~ between(U,V,W)
% 1.21/1.31 | ~ between(U,W,X)
% 1.21/1.31 | between(U,V,X) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(e2_1,axiom,
% 1.21/1.31 lower_dimension_point_1 != lower_dimension_point_2 ).
% 1.21/1.31
% 1.21/1.31 cnf(e2_2,axiom,
% 1.21/1.31 lower_dimension_point_2 != lower_dimension_point_3 ).
% 1.21/1.31
% 1.21/1.31 cnf(e2_3,axiom,
% 1.21/1.31 lower_dimension_point_1 != lower_dimension_point_3 ).
% 1.21/1.31
% 1.21/1.31 cnf(e3_1,axiom,
% 1.21/1.31 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 1.21/1.31
% 1.21/1.31 cnf(e3_2,axiom,
% 1.21/1.31 equidistant(V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2),X,extension(W,X,lower_dimension_point_1,lower_dimension_point_2)) ).
% 1.21/1.31
% 1.21/1.31 cnf(e3_3,axiom,
% 1.21/1.31 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 1.21/1.31
% 1.21/1.31 cnf(v_between_u_and_w,hypothesis,
% 1.21/1.31 between(u,v,w) ).
% 1.21/1.31
% 1.21/1.31 cnf(v1_between_u1_and_w,hypothesis,
% 1.21/1.31 between(u1,v1,w) ).
% 1.21/1.31
% 1.21/1.31 cnf(x_between_u_and_u1,hypothesis,
% 1.21/1.31 between(u,x,u1) ).
% 1.21/1.31
% 1.21/1.31 cnf(prove_conclusion1,negated_conjecture,
% 1.21/1.31 ~ between(x,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),w) ).
% 1.21/1.31
% 1.21/1.31 cnf(prove_conclusion2,negated_conjecture,
% 1.21/1.31 ~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1) ).
% 1.21/1.31
% 1.21/1.31 %--------------------------------------------------------------------------
% 1.21/1.31 %-------------------------------------------
% 1.21/1.31 % Proof found
% 1.21/1.31 % SZS status Theorem for theBenchmark
% 1.21/1.31 % SZS output start Proof
% 1.27/1.31 %ClaNum:101(EqnAxiom:35)
% 1.27/1.31 %VarNum:498(SingletonVarNum:189)
% 1.27/1.31 %MaxLitNum:8
% 1.27/1.31 %MaxfuncDepth:2
% 1.27/1.31 %SharedTerms:22
% 1.27/1.31 %goalClause: 61 62
% 1.27/1.31 %singleGoalClaCount:2
% 1.27/1.31 [36]P1(a1,a10,a12)
% 1.27/1.31 [37]P1(a1,a14,a11)
% 1.27/1.31 [38]P1(a11,a13,a12)
% 1.27/1.31 [54]~E(a8,a6)
% 1.27/1.31 [55]~E(a9,a6)
% 1.27/1.31 [56]~E(a9,a8)
% 1.27/1.31 [57]~P1(a6,a8,a9)
% 1.27/1.31 [58]~P1(a8,a9,a6)
% 1.27/1.31 [59]~P1(a9,a6,a8)
% 1.27/1.31 [61]~P1(a10,f7(a13,f7(a1,a14,a11,a13,a12),a1,a10,a12),a13)
% 1.27/1.31 [62]~P1(a14,f7(a13,f7(a1,a14,a11,a13,a12),a1,a10,a12),a12)
% 1.27/1.31 [39]P1(x391,x392,x392)
% 1.27/1.31 [40]P1(x401,x401,x402)
% 1.27/1.31 [41]P2(x411,x412,x412,x411)
% 1.27/1.31 [42]P2(x421,x422,x421,x422)
% 1.27/1.31 [43]P2(x431,x431,x432,x432)
% 1.27/1.31 [60]~E(f2(x601,x602,a6,a8),x602)
% 1.27/1.31 [52]E(f2(f2(x521,x522,x521,x522),x522,f2(x521,x522,x521,x522),x522),x521)
% 1.27/1.31 [53]P2(x531,x532,x531,f2(f2(x532,x531,x532,x531),x531,f2(x532,x531,x532,x531),x531))
% 1.27/1.31 [44]E(f2(x441,x442,x443,x443),x442)
% 1.27/1.31 [47]P1(x471,x472,f2(x471,x472,x473,x474))
% 1.27/1.31 [49]P2(x491,f2(x492,x491,x493,x494),x493,x494)
% 1.27/1.32 [51]P2(x511,f2(x512,x511,a6,a8),x513,f2(x514,x513,a6,a8))
% 1.27/1.32 [63]~P1(x631,x632,x631)+E(x631,x632)
% 1.27/1.32 [75]~E(x751,x752)+E(f2(x751,x752,x751,x752),x752)
% 1.27/1.32 [78]E(x781,x782)+~E(f2(x782,x781,x782,x781),x781)
% 1.27/1.32 [80]E(x801,x802)+E(f2(x801,x802,x801,x802),f2(x801,x802,x802,x801))
% 1.27/1.32 [64]~P1(x643,x642,x641)+P1(x641,x642,x643)
% 1.27/1.32 [77]~P2(x771,x772,x773,x773)+E(x771,x772)
% 1.27/1.32 [82]~P2(x824,x823,x822,x821)+P2(x821,x822,x823,x824)
% 1.27/1.32 [83]~P2(x833,x834,x832,x831)+P2(x831,x832,x833,x834)
% 1.27/1.32 [84]~P2(x844,x843,x841,x842)+P2(x841,x842,x843,x844)
% 1.27/1.32 [85]~P2(x853,x854,x851,x852)+P2(x851,x852,x853,x854)
% 1.27/1.32 [86]~P2(x862,x861,x864,x863)+P2(x861,x862,x863,x864)
% 1.27/1.32 [87]~P2(x872,x871,x873,x874)+P2(x871,x872,x873,x874)
% 1.27/1.32 [88]~P2(x881,x882,x884,x883)+P2(x881,x882,x883,x884)
% 1.27/1.32 [79]P1(x791,x792,x793)+~E(x793,f2(x791,x792,x794,x795))
% 1.27/1.32 [66]~P1(x663,x661,x662)+E(x661,x662)+~P1(x663,x662,x661)
% 1.27/1.32 [67]~P1(x671,x672,x673)+E(x671,x672)+~P1(x672,x671,x673)
% 1.27/1.32 [76]~P1(x761,x762,x763)+E(x761,x762)+E(f2(x761,x762,x762,x763),x763)
% 1.27/1.32 [65]~P1(x654,x652,x653)+P1(x651,x652,x653)+~E(x654,x653)
% 1.27/1.32 [70]~P1(x704,x701,x702)+P1(x701,x702,x703)+~P1(x704,x702,x703)
% 1.27/1.32 [71]~P1(x711,x714,x713)+P1(x711,x712,x713)+~P1(x714,x712,x713)
% 1.27/1.32 [72]~P1(x721,x722,x724)+P1(x721,x722,x723)+~P1(x721,x724,x723)
% 1.27/1.32 [95]~P1(x955,x951,x954)+~P1(x952,x953,x954)+P1(x951,f7(x952,x953,x954,x951,x955),x952)
% 1.27/1.32 [96]~P1(x965,x964,x963)+~P1(x962,x961,x963)+P1(x961,f7(x962,x961,x963,x964,x965),x965)
% 1.27/1.32 [90]~P2(x905,x906,x901,x902)+P2(x901,x902,x903,x904)+~P2(x905,x906,x903,x904)
% 1.27/1.32 [91]~P2(x911,x912,x915,x916)+P2(x911,x912,x913,x914)+~P2(x915,x916,x913,x914)
% 1.27/1.32 [89]~P2(x893,x894,x895,x896)+E(x891,x892)+E(f2(x891,x892,x893,x894),f2(x891,x892,x895,x896))
% 1.27/1.32 [73]~P1(x731,x732,x734)+~P1(x733,x731,x732)+E(x731,x732)+P1(x733,x732,x734)
% 1.27/1.32 [74]~P1(x741,x742,x744)+~P1(x743,x741,x742)+E(x741,x742)+P1(x743,x741,x744)
% 1.27/1.32 [97]~P1(x974,x972,x973)+~P1(x971,x972,x975)+E(x971,x972)+P1(x971,x973,f3(x971,x974,x972,x973,x975))
% 1.27/1.32 [98]~P1(x983,x982,x984)+~P1(x981,x982,x985)+E(x981,x982)+P1(x981,x983,f4(x981,x983,x982,x984,x985))
% 1.27/1.32 [99]~P1(x993,x992,x994)+~P1(x991,x992,x995)+E(x991,x992)+P1(f4(x991,x993,x992,x994,x995),x995,f3(x991,x993,x992,x994,x995))
% 1.27/1.32 [81]~P1(x813,x814,x812)+~P1(x813,x814,x811)+~P2(x814,x811,x814,x812)+E(x811,x812)+E(x813,x814)
% 1.27/1.32 [92]~P2(x926,x922,x925,x924)+~P2(x921,x926,x923,x925)+P2(x921,x922,x923,x924)+~P1(x923,x925,x924)+~P1(x921,x926,x922)
% 1.27/1.32 [100]~P1(x1003,x1004,x1005)+~P1(x1002,x1003,x1005)+~P2(x1002,x1005,x1002,x1006)+~P2(x1002,x1003,x1002,x1001)+P1(x1001,f5(x1002,x1003,x1001,x1004,x1005,x1006),x1006)
% 1.27/1.32 [101]~P1(x1013,x1012,x1015)+~P1(x1011,x1013,x1015)+~P2(x1011,x1015,x1011,x1016)+~P2(x1011,x1013,x1011,x1014)+P2(x1011,x1012,x1011,f5(x1011,x1013,x1014,x1012,x1015,x1016))
% 1.27/1.32 [93]P1(x935,x933,x934)+P1(x934,x935,x933)+~P2(x933,x931,x933,x932)+~P2(x935,x931,x935,x932)+~P2(x934,x931,x934,x932)+E(x931,x932)+P1(x933,x934,x935)
% 1.27/1.32 [94]~P1(x941,x942,x943)+~P2(x942,x944,x948,x946)+~P2(x942,x943,x948,x945)+~P2(x941,x944,x947,x946)+~P2(x941,x942,x947,x948)+E(x941,x942)+P2(x943,x944,x945,x946)+~P1(x947,x948,x945)
% 1.27/1.32 %EqnAxiom
% 1.27/1.32 [1]E(x11,x11)
% 1.27/1.32 [2]E(x22,x21)+~E(x21,x22)
% 1.27/1.32 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.27/1.32 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 1.27/1.32 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 1.27/1.32 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 1.27/1.32 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 1.27/1.32 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 1.27/1.32 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 1.27/1.32 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 1.27/1.32 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 1.27/1.32 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 1.27/1.32 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 1.27/1.32 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 1.27/1.32 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 1.27/1.32 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 1.27/1.32 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 1.27/1.32 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 1.27/1.32 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 1.27/1.32 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 1.27/1.32 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 1.27/1.32 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 1.27/1.32 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 1.27/1.32 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 1.27/1.32 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 1.27/1.32 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 1.27/1.32 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 1.27/1.32 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 1.27/1.32 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 1.27/1.32 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 1.27/1.32 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 1.27/1.32 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 1.27/1.32 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 1.27/1.32 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 1.27/1.32 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 1.27/1.32
% 1.27/1.32 %-------------------------------------------
% 1.27/1.32 cnf(102,plain,
% 1.27/1.32 (E(x1021,f2(x1022,x1021,x1023,x1023))),
% 1.27/1.32 inference(scs_inference,[],[44,2])).
% 1.27/1.32 cnf(103,plain,
% 1.27/1.32 (~P2(a8,a6,x1031,x1031)),
% 1.27/1.32 inference(scs_inference,[],[54,44,2,77])).
% 1.27/1.32 cnf(105,plain,
% 1.27/1.32 (~P1(a13,f7(a13,f7(a1,a14,a11,a13,a12),a1,a10,a12),a10)),
% 1.27/1.32 inference(scs_inference,[],[61,54,44,2,77,64])).
% 1.27/1.32 cnf(110,plain,
% 1.27/1.32 (E(f2(x1101,x1102,x1103,x1103),x1102)),
% 1.27/1.32 inference(rename_variables,[],[44])).
% 1.27/1.32 cnf(116,plain,
% 1.27/1.32 (P2(x1161,x1161,x1162,x1162)),
% 1.27/1.32 inference(rename_variables,[],[43])).
% 1.27/1.32 cnf(120,plain,
% 1.27/1.32 (P2(x1201,f2(x1202,x1201,x1203,x1204),x1203,x1204)),
% 1.27/1.32 inference(rename_variables,[],[49])).
% 1.27/1.32 cnf(121,plain,
% 1.27/1.32 (P2(x1211,f2(x1212,f2(x1213,x1211,x1214,x1214),x1215,x1216),x1215,x1216)),
% 1.27/1.32 inference(scs_inference,[],[61,43,116,54,49,120,44,110,60,2,77,64,63,79,75,35,34,33,32])).
% 1.27/1.32 cnf(122,plain,
% 1.27/1.32 (P2(x1221,f2(x1222,x1221,x1223,x1224),x1223,x1224)),
% 1.27/1.32 inference(rename_variables,[],[49])).
% 1.27/1.32 cnf(124,plain,
% 1.27/1.32 (P1(x1241,x1242,x1242)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(126,plain,
% 1.27/1.32 (P1(x1261,x1262,x1262)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(127,plain,
% 1.27/1.32 (~E(f7(a13,f7(a1,a14,a11,a13,a12),a1,a10,a12),a10)),
% 1.27/1.32 inference(scs_inference,[],[61,43,116,39,124,40,54,49,120,44,110,60,2,77,64,63,79,75,35,34,33,32,31,30,29])).
% 1.27/1.32 cnf(128,plain,
% 1.27/1.32 (P1(x1281,x1281,x1282)),
% 1.27/1.32 inference(rename_variables,[],[40])).
% 1.27/1.32 cnf(129,plain,
% 1.27/1.32 (~E(a8,f2(x1291,a6,x1292,x1292))),
% 1.27/1.32 inference(scs_inference,[],[61,43,116,39,124,40,54,49,120,44,110,60,2,77,64,63,79,75,35,34,33,32,31,30,29,3])).
% 1.27/1.32 cnf(130,plain,
% 1.27/1.32 (E(f2(x1301,x1302,x1303,x1303),x1302)),
% 1.27/1.32 inference(rename_variables,[],[44])).
% 1.27/1.32 cnf(131,plain,
% 1.27/1.32 (P2(f2(x1311,x1312,x1313,x1314),x1312,x1313,x1314)),
% 1.27/1.32 inference(scs_inference,[],[61,41,43,116,39,124,40,54,49,120,122,44,110,60,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91])).
% 1.27/1.32 cnf(132,plain,
% 1.27/1.32 (P2(x1321,f2(x1322,x1321,x1323,x1324),x1323,x1324)),
% 1.27/1.32 inference(rename_variables,[],[49])).
% 1.27/1.32 cnf(133,plain,
% 1.27/1.32 (P2(x1331,x1332,x1332,x1331)),
% 1.27/1.32 inference(rename_variables,[],[41])).
% 1.27/1.32 cnf(137,plain,
% 1.27/1.32 (P2(x1371,x1372,x1372,x1371)),
% 1.27/1.32 inference(rename_variables,[],[41])).
% 1.27/1.32 cnf(139,plain,
% 1.27/1.32 (~P1(a9,a6,a9)),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,43,116,39,124,126,40,54,55,49,120,122,44,110,60,51,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67])).
% 1.27/1.32 cnf(140,plain,
% 1.27/1.32 (P1(x1401,x1402,x1402)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(143,plain,
% 1.27/1.32 (P1(x1431,x1431,x1432)),
% 1.27/1.32 inference(rename_variables,[],[40])).
% 1.27/1.32 cnf(146,plain,
% 1.27/1.32 (P1(x1461,x1462,x1462)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(152,plain,
% 1.27/1.32 (P2(f2(x1521,x1522,x1523,x1524),x1522,x1524,x1523)),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,43,116,39,124,126,140,40,128,54,55,49,120,122,132,44,110,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86])).
% 1.27/1.32 cnf(154,plain,
% 1.27/1.32 (P2(x1541,x1542,x1543,f2(x1544,x1543,x1541,x1542))),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,43,116,39,124,126,140,40,128,54,55,49,120,122,132,44,110,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85])).
% 1.27/1.32 cnf(158,plain,
% 1.27/1.32 (P2(x1581,x1582,x1583,f2(x1584,x1583,x1582,x1581))),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,43,116,39,124,126,140,40,128,54,55,49,120,122,132,44,110,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83])).
% 1.27/1.32 cnf(187,plain,
% 1.27/1.32 (~E(f2(a6,a9,a6,a9),a9)),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,43,116,39,124,126,140,40,128,54,55,49,120,122,132,44,110,130,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78])).
% 1.27/1.32 cnf(194,plain,
% 1.27/1.32 (P1(x1941,x1942,x1942)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(198,plain,
% 1.27/1.32 (P1(x1981,f7(x1982,x1981,x1981,x1981,x1982),x1982)),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,43,116,39,124,126,140,146,194,40,128,36,54,55,49,120,122,132,44,110,130,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96])).
% 1.27/1.32 cnf(200,plain,
% 1.27/1.32 (P1(x2001,f7(x2002,x2003,x2003,x2001,x2001),x2002)),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,43,116,39,124,126,140,146,194,40,128,143,36,54,55,49,120,122,132,44,110,130,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96,95])).
% 1.27/1.32 cnf(205,plain,
% 1.27/1.32 (P1(a8,a6,f3(a8,a8,a6,a6,a6))),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,137,43,116,39,124,126,140,146,194,40,128,143,36,54,55,49,120,122,132,44,110,130,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96,95,89,97])).
% 1.27/1.32 cnf(207,plain,
% 1.27/1.32 (P1(x2071,x2072,x2072)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(211,plain,
% 1.27/1.32 (P1(x2111,x2112,x2112)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(213,plain,
% 1.27/1.32 (P2(f2(x2131,x2131,x2131,x2131),x2131,f2(x2131,x2131,x2131,x2131),f2(f2(x2131,x2131,x2131,x2131),x2131,f2(x2131,x2131,x2131,x2131),x2131))),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,137,42,43,116,39,124,126,140,146,194,207,211,40,128,143,36,54,55,49,120,122,132,47,44,110,130,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96,95,89,97,99,92])).
% 1.27/1.32 cnf(215,plain,
% 1.27/1.32 (P1(x2151,x2152,x2152)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(219,plain,
% 1.27/1.32 (P2(x2191,x2191,x2191,f5(x2191,x2191,x2191,x2191,x2191,x2191))),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,137,42,43,116,39,124,126,140,146,194,207,211,215,40,128,143,36,54,55,49,120,122,132,47,44,110,130,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96,95,89,97,99,92,101])).
% 1.27/1.32 cnf(222,plain,
% 1.27/1.32 (P1(x2221,x2222,x2222)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(223,plain,
% 1.27/1.32 (P2(x2231,x2232,x2232,x2231)),
% 1.27/1.32 inference(rename_variables,[],[41])).
% 1.27/1.32 cnf(225,plain,
% 1.27/1.32 (P1(x2251,f5(x2251,x2251,x2251,x2251,x2251,x2251),x2251)),
% 1.27/1.32 inference(scs_inference,[],[61,41,133,137,223,42,43,116,39,124,126,140,146,194,207,211,215,222,40,128,143,36,54,55,49,120,122,132,47,44,110,130,60,51,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,81,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96,95,89,97,99,92,101,100])).
% 1.27/1.32 cnf(244,plain,
% 1.27/1.32 (P2(x2441,f2(x2442,x2441,x2441,x2443),x2441,f5(x2441,f2(x2442,x2441,x2441,x2443),f2(x2442,x2441,x2441,x2443),f2(x2442,x2441,x2441,x2443),f2(x2442,x2441,x2441,x2443),x2443))),
% 1.27/1.32 inference(scs_inference,[],[37,42,39,40,49,225,64,63,101])).
% 1.27/1.32 cnf(245,plain,
% 1.27/1.32 (P2(x2451,f2(x2452,x2451,x2453,x2454),x2453,x2454)),
% 1.27/1.32 inference(rename_variables,[],[49])).
% 1.27/1.32 cnf(246,plain,
% 1.27/1.32 (P1(x2461,x2462,x2462)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(247,plain,
% 1.27/1.32 (P2(x2471,x2472,x2471,x2472)),
% 1.27/1.32 inference(rename_variables,[],[42])).
% 1.27/1.32 cnf(248,plain,
% 1.27/1.32 (P1(x2481,x2481,x2482)),
% 1.27/1.32 inference(rename_variables,[],[40])).
% 1.27/1.32 cnf(251,plain,
% 1.27/1.32 (P2(x2511,x2512,x2512,x2511)),
% 1.27/1.32 inference(rename_variables,[],[41])).
% 1.27/1.32 cnf(256,plain,
% 1.27/1.32 (P2(x2561,f2(x2562,x2561,x2563,x2564),x2563,x2564)),
% 1.27/1.32 inference(rename_variables,[],[49])).
% 1.27/1.32 cnf(257,plain,
% 1.27/1.32 (P1(x2571,x2572,x2572)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(259,plain,
% 1.27/1.32 (P1(x2591,x2591,x2592)),
% 1.27/1.32 inference(rename_variables,[],[40])).
% 1.27/1.32 cnf(261,plain,
% 1.27/1.32 (~P2(x2611,x2611,a8,a6)),
% 1.27/1.32 inference(scs_inference,[],[37,41,42,247,39,246,40,248,49,245,225,103,64,63,101,91,95,100,85])).
% 1.27/1.32 cnf(264,plain,
% 1.27/1.32 (~E(f2(x2641,x2642,a6,a8),x2642)),
% 1.27/1.32 inference(rename_variables,[],[60])).
% 1.27/1.32 cnf(265,plain,
% 1.27/1.32 (P1(x2651,x2652,x2652)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(266,plain,
% 1.27/1.32 (P1(x2661,x2662,f2(x2661,x2662,x2663,x2664))),
% 1.27/1.32 inference(rename_variables,[],[47])).
% 1.27/1.32 cnf(273,plain,
% 1.27/1.32 (~P1(x2731,f2(x2731,x2732,a6,a8),x2732)),
% 1.27/1.32 inference(scs_inference,[],[37,56,41,42,247,39,246,257,40,248,49,245,47,266,60,264,225,121,103,64,63,101,91,95,100,85,81,83,77,66])).
% 1.27/1.32 cnf(274,plain,
% 1.27/1.32 (P1(x2741,x2742,f2(x2741,x2742,x2743,x2744))),
% 1.27/1.32 inference(rename_variables,[],[47])).
% 1.27/1.32 cnf(280,plain,
% 1.27/1.32 (E(f5(x2801,x2801,x2801,x2801,x2801,x2801),x2801)),
% 1.27/1.32 inference(scs_inference,[],[59,37,56,41,251,42,247,39,246,257,265,40,248,49,245,47,266,60,264,225,121,103,64,63,101,91,95,100,85,81,83,77,66,89,79,67])).
% 1.27/1.32 cnf(281,plain,
% 1.27/1.32 (P1(x2811,f5(x2811,x2811,x2811,x2811,x2811,x2811),x2811)),
% 1.27/1.32 inference(rename_variables,[],[225])).
% 1.27/1.32 cnf(282,plain,
% 1.27/1.32 (P1(x2821,x2822,x2822)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(290,plain,
% 1.27/1.32 (~P2(a8,a8,f2(a9,a8,a6,a8),a8)),
% 1.27/1.32 inference(scs_inference,[],[59,37,38,56,41,251,42,247,39,246,257,265,40,248,49,245,47,266,60,264,54,225,121,103,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82])).
% 1.27/1.32 cnf(296,plain,
% 1.27/1.32 (~P2(a8,a8,a8,f2(a9,a8,a6,a8))),
% 1.27/1.32 inference(scs_inference,[],[59,37,38,56,41,251,42,247,39,246,257,265,40,248,49,245,47,266,60,264,44,54,225,102,121,103,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82,75,3,84])).
% 1.27/1.32 cnf(299,plain,
% 1.27/1.32 (~P2(a8,a6,x2991,x2991)),
% 1.27/1.32 inference(rename_variables,[],[103])).
% 1.27/1.32 cnf(303,plain,
% 1.27/1.32 (P2(x3031,f2(x3032,x3031,x3033,x3034),x3033,x3034)),
% 1.27/1.32 inference(rename_variables,[],[49])).
% 1.27/1.32 cnf(305,plain,
% 1.27/1.32 (~P2(a8,f2(f2(a6,x3051,a6,x3051),x3051,f2(a6,x3051,a6,x3051),x3051),x3052,x3052)),
% 1.27/1.32 inference(scs_inference,[],[59,52,37,38,56,41,251,42,247,39,246,257,265,40,248,49,245,256,47,266,60,264,44,54,225,102,121,103,299,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82,75,3,84,34,87,90,33])).
% 1.27/1.32 cnf(306,plain,
% 1.27/1.32 (E(f2(f2(x3061,x3062,x3061,x3062),x3062,f2(x3061,x3062,x3061,x3062),x3062),x3061)),
% 1.27/1.32 inference(rename_variables,[],[52])).
% 1.27/1.32 cnf(308,plain,
% 1.27/1.32 (E(f2(f2(x3081,x3082,x3081,x3082),x3082,f2(x3081,x3082,x3081,x3082),x3082),x3081)),
% 1.27/1.32 inference(rename_variables,[],[52])).
% 1.27/1.32 cnf(311,plain,
% 1.27/1.32 (P1(x3111,x3112,f2(x3111,x3112,x3113,x3114))),
% 1.27/1.32 inference(rename_variables,[],[47])).
% 1.27/1.32 cnf(315,plain,
% 1.27/1.32 (E(f2(f2(x3151,x3152,x3151,x3152),x3152,f2(x3151,x3152,x3151,x3152),x3152),x3151)),
% 1.27/1.32 inference(rename_variables,[],[52])).
% 1.27/1.32 cnf(317,plain,
% 1.27/1.32 (E(f2(f2(x3171,x3172,x3171,x3172),x3172,f2(x3171,x3172,x3171,x3172),x3172),x3171)),
% 1.27/1.32 inference(rename_variables,[],[52])).
% 1.27/1.32 cnf(319,plain,
% 1.27/1.32 (E(f2(f2(x3191,x3192,x3191,x3192),x3192,f2(x3191,x3192,x3191,x3192),x3192),x3191)),
% 1.27/1.32 inference(rename_variables,[],[52])).
% 1.27/1.32 cnf(321,plain,
% 1.27/1.32 (~P2(a8,a6,x3211,x3211)),
% 1.27/1.32 inference(rename_variables,[],[103])).
% 1.27/1.32 cnf(322,plain,
% 1.27/1.32 (~P2(f2(f2(a8,x3221,a8,x3221),x3221,f2(a8,x3221,a8,x3221),x3221),a6,x3222,x3222)),
% 1.27/1.32 inference(scs_inference,[],[61,59,52,306,308,315,317,319,37,38,56,41,251,42,247,39,246,257,265,40,248,49,245,256,47,266,274,60,264,44,54,225,102,121,103,299,321,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82,75,3,84,34,87,90,33,65,70,2,31,30,29,35,32])).
% 1.27/1.32 cnf(324,plain,
% 1.27/1.32 (~P1(f2(x3241,a6,a6,a8),a6,a8)+~P1(a9,f2(x3241,a6,a6,a8),a6)),
% 1.27/1.32 inference(scs_inference,[],[61,59,52,306,308,315,317,319,37,38,56,41,251,42,247,39,246,257,265,40,248,49,245,256,47,266,274,60,264,44,54,225,102,121,103,299,321,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82,75,3,84,34,87,90,33,65,70,2,31,30,29,35,32,73])).
% 1.27/1.32 cnf(327,plain,
% 1.27/1.32 (P1(x3271,f5(x3272,x3272,x3272,x3272,x3272,x3272),x3272)),
% 1.27/1.32 inference(scs_inference,[],[61,59,52,306,308,315,317,319,37,38,56,41,251,42,247,39,246,257,265,282,40,248,49,245,256,47,266,274,60,264,44,54,225,281,102,121,103,299,321,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82,75,3,84,34,87,90,33,65,70,2,31,30,29,35,32,73,71])).
% 1.27/1.32 cnf(335,plain,
% 1.27/1.32 (P2(a1,a11,a14,f2(a14,a1,a14,a11))),
% 1.27/1.32 inference(scs_inference,[],[61,59,52,306,308,315,317,319,37,38,56,41,251,42,247,39,246,257,265,282,40,248,259,49,245,256,47,266,274,311,60,264,44,54,225,281,154,102,121,103,299,321,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82,75,3,84,34,87,90,33,65,70,2,31,30,29,35,32,73,71,86,72,92])).
% 1.27/1.32 cnf(337,plain,
% 1.27/1.32 (P2(x3371,x3372,x3372,x3371)),
% 1.27/1.32 inference(rename_variables,[],[41])).
% 1.27/1.32 cnf(340,plain,
% 1.27/1.32 (P2(a14,f2(x3401,a11,a14,a1),a11,a1)+E(f2(x3401,a11,a14,a1),a11)+~P1(f2(x3401,a11,a14,a1),a11,a14)),
% 1.27/1.32 inference(scs_inference,[],[61,59,52,306,308,315,317,319,37,38,56,41,251,337,42,247,43,39,246,257,265,282,40,248,259,49,245,256,303,47,266,274,311,60,264,44,54,225,281,152,154,102,121,103,299,321,205,64,63,101,91,95,100,85,81,83,77,66,89,79,67,96,97,99,82,75,3,84,34,87,90,33,65,70,2,31,30,29,35,32,73,71,86,72,92,94])).
% 1.27/1.32 cnf(352,plain,
% 1.27/1.32 (~P2(a8,a8,x3521,f2(x3522,x3521,a6,a8))),
% 1.27/1.32 inference(scs_inference,[],[51,296,91])).
% 1.27/1.32 cnf(353,plain,
% 1.27/1.32 (P2(x3531,f2(x3532,x3531,a6,a8),x3533,f2(x3534,x3533,a6,a8))),
% 1.27/1.32 inference(rename_variables,[],[51])).
% 1.27/1.32 cnf(356,plain,
% 1.27/1.32 (P1(x3561,x3562,x3562)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(358,plain,
% 1.27/1.32 (P2(x3581,f2(x3582,x3581,a6,a8),x3581,f5(x3581,f2(x3582,x3581,a6,a8),f2(x3583,x3581,a6,a8),f2(x3582,x3581,a6,a8),f2(x3582,x3581,a6,a8),f2(x3583,x3581,a6,a8)))),
% 1.27/1.32 inference(scs_inference,[],[62,51,353,39,356,40,296,91,71,101])).
% 1.27/1.32 cnf(359,plain,
% 1.27/1.32 (P1(x3591,x3592,x3592)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(361,plain,
% 1.27/1.32 (P1(x3611,x3611,x3612)),
% 1.27/1.32 inference(rename_variables,[],[40])).
% 1.27/1.32 cnf(362,plain,
% 1.27/1.32 (P2(x3621,f2(x3622,x3621,a6,a8),x3623,f2(x3624,x3623,a6,a8))),
% 1.27/1.32 inference(rename_variables,[],[51])).
% 1.27/1.32 cnf(368,plain,
% 1.27/1.32 (~P1(f2(x3681,x3682,a6,a8),x3682,f2(x3681,x3682,a6,a8))),
% 1.27/1.32 inference(scs_inference,[],[62,51,353,39,356,40,60,53,296,91,71,101,83,64,63])).
% 1.27/1.32 cnf(370,plain,
% 1.27/1.32 (E(x3701,f7(x3701,x3701,x3701,x3701,x3701))),
% 1.27/1.32 inference(scs_inference,[],[62,51,353,39,356,359,40,60,53,198,296,91,71,101,83,64,63,67])).
% 1.27/1.32 cnf(371,plain,
% 1.27/1.32 (P1(x3711,f7(x3712,x3711,x3711,x3711,x3712),x3712)),
% 1.27/1.32 inference(rename_variables,[],[198])).
% 1.27/1.32 cnf(372,plain,
% 1.27/1.32 (P1(x3721,x3722,x3722)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(378,plain,
% 1.27/1.32 (P1(f2(x3781,x3782,a6,a8),f5(x3782,f2(x3783,x3782,a6,a8),f2(x3781,x3782,a6,a8),f2(x3783,x3782,a6,a8),f2(x3783,x3782,a6,a8),f2(x3781,x3782,a6,a8)),f2(x3781,x3782,a6,a8))),
% 1.27/1.32 inference(scs_inference,[],[62,51,353,362,39,356,359,372,40,361,60,53,198,296,91,71,101,83,64,63,67,88,85,100])).
% 1.27/1.32 cnf(379,plain,
% 1.27/1.32 (P1(x3791,x3792,x3792)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(381,plain,
% 1.27/1.32 (P1(x3811,x3811,x3812)),
% 1.27/1.32 inference(rename_variables,[],[40])).
% 1.27/1.32 cnf(382,plain,
% 1.27/1.32 (P2(x3821,f2(x3822,x3821,a6,a8),x3823,f2(x3824,x3823,a6,a8))),
% 1.27/1.32 inference(rename_variables,[],[51])).
% 1.27/1.32 cnf(389,plain,
% 1.27/1.32 (P1(x3891,x3892,x3892)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(390,plain,
% 1.27/1.32 (~E(f2(x3901,x3902,a6,a8),x3902)),
% 1.27/1.32 inference(rename_variables,[],[60])).
% 1.27/1.32 cnf(392,plain,
% 1.27/1.32 (P2(x3921,f2(x3921,x3921,x3921,x3921),f2(x3921,x3921,x3921,x3921),f2(f2(x3921,x3921,x3921,x3921),x3921,f2(x3921,x3921,x3921,x3921),x3921))),
% 1.27/1.32 inference(scs_inference,[],[62,51,353,362,382,38,39,356,359,372,379,40,361,60,53,213,198,296,187,91,71,101,83,64,63,67,88,85,100,86,75,98,87])).
% 1.27/1.32 cnf(399,plain,
% 1.27/1.32 (P1(x3991,x3992,x3992)),
% 1.27/1.32 inference(rename_variables,[],[39])).
% 1.27/1.32 cnf(400,plain,
% 1.27/1.32 (~E(f2(x4001,x4002,a6,a8),x4002)),
% 1.27/1.32 inference(rename_variables,[],[60])).
% 1.27/1.33 cnf(403,plain,
% 1.27/1.33 (P1(x4031,x4032,x4032)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(404,plain,
% 1.27/1.33 (~E(f2(x4041,x4042,a6,a8),x4042)),
% 1.27/1.33 inference(rename_variables,[],[60])).
% 1.27/1.33 cnf(409,plain,
% 1.27/1.33 (~P2(f2(x4091,x4092,a6,a8),x4092,x4093,x4093)),
% 1.27/1.33 inference(scs_inference,[],[62,51,353,362,382,38,39,356,359,372,379,389,399,40,361,381,60,390,400,404,53,213,280,198,371,296,187,91,71,101,83,64,63,67,88,85,100,86,75,98,87,66,97,99,79,77])).
% 1.27/1.33 cnf(411,plain,
% 1.27/1.33 (E(f2(f2(x4111,x4112,x4111,x4112),x4112,f2(x4111,x4112,x4111,x4112),x4112),f2(x4113,x4111,x4114,x4114))),
% 1.27/1.33 inference(scs_inference,[],[62,102,51,353,362,382,38,39,356,359,372,379,389,399,40,361,381,60,390,400,404,53,52,213,280,198,371,296,187,91,71,101,83,64,63,67,88,85,100,86,75,98,87,66,97,99,79,77,3])).
% 1.27/1.33 cnf(412,plain,
% 1.27/1.33 (E(f2(f2(x4121,x4122,x4121,x4122),x4122,f2(x4121,x4122,x4121,x4122),x4122),x4121)),
% 1.27/1.33 inference(rename_variables,[],[52])).
% 1.27/1.33 cnf(414,plain,
% 1.27/1.33 (E(x4141,f2(x4142,x4141,x4143,x4143))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(415,plain,
% 1.27/1.33 (P2(x4151,f2(x4152,f2(x4153,x4151,a6,a8),x4154,x4154),x4155,f2(x4156,x4155,a6,a8))),
% 1.27/1.33 inference(scs_inference,[],[62,102,414,51,353,362,382,38,39,356,359,372,379,389,399,40,361,381,60,390,400,404,53,52,213,280,198,371,296,187,91,71,101,83,64,63,67,88,85,100,86,75,98,87,66,97,99,79,77,3,34,33])).
% 1.27/1.33 cnf(416,plain,
% 1.27/1.33 (E(x4161,f2(x4162,x4161,x4163,x4163))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(423,plain,
% 1.27/1.33 (P2(x4231,f2(x4232,x4231,a6,a8),x4233,f2(x4234,x4233,a6,a8))),
% 1.27/1.33 inference(rename_variables,[],[51])).
% 1.27/1.33 cnf(433,plain,
% 1.27/1.33 (E(x4331,f2(x4332,x4331,x4333,x4333))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(435,plain,
% 1.27/1.33 (E(x4351,f2(x4352,x4351,x4353,x4353))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(436,plain,
% 1.27/1.33 (E(x4361,f2(f2(x4361,x4362,x4361,x4362),x4362,f2(x4361,x4362,x4361,x4362),x4362))),
% 1.27/1.33 inference(scs_inference,[],[62,102,414,416,433,51,353,362,382,38,39,356,359,372,379,389,399,403,40,361,381,47,60,390,400,404,53,52,412,213,280,327,198,371,158,296,335,187,91,71,101,83,64,63,67,88,85,100,86,75,98,87,66,97,99,79,77,3,34,33,92,90,82,84,70,31,29,2])).
% 1.27/1.33 cnf(438,plain,
% 1.27/1.33 (E(x4381,f2(x4382,x4381,x4383,x4383))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(440,plain,
% 1.27/1.33 (E(x4401,f2(x4402,x4401,x4403,x4403))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(441,plain,
% 1.27/1.33 (P2(x4411,f2(x4412,x4411,a6,a8),x4413,f2(x4414,f2(x4415,x4413,a6,a8),x4416,x4416))),
% 1.27/1.33 inference(scs_inference,[],[62,102,414,416,433,435,438,440,51,353,362,382,423,38,39,356,359,372,379,389,399,403,40,361,381,47,60,390,400,404,53,52,412,213,280,327,198,371,158,296,335,187,91,71,101,83,64,63,67,88,85,100,86,75,98,87,66,97,99,79,77,3,34,33,92,90,82,84,70,31,29,2,32,30,35])).
% 1.27/1.33 cnf(460,plain,
% 1.27/1.33 (P2(x4601,x4602,x4602,x4601)),
% 1.27/1.33 inference(rename_variables,[],[41])).
% 1.27/1.33 cnf(461,plain,
% 1.27/1.33 (P2(x4611,x4612,x4611,x4612)),
% 1.27/1.33 inference(rename_variables,[],[42])).
% 1.27/1.33 cnf(462,plain,
% 1.27/1.33 (P1(x4621,x4621,x4622)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(464,plain,
% 1.27/1.33 (~P2(x4641,x4641,x4642,f2(x4643,x4642,a6,a8))),
% 1.27/1.33 inference(scs_inference,[],[41,42,36,40,409,101,83])).
% 1.27/1.33 cnf(466,plain,
% 1.27/1.33 (~E(f2(x4661,f2(x4662,x4661,a6,a8),x4661,f2(x4662,x4661,a6,a8)),f2(x4662,x4661,a6,a8))),
% 1.27/1.33 inference(scs_inference,[],[41,42,36,40,60,409,101,83,78])).
% 1.27/1.33 cnf(468,plain,
% 1.27/1.33 (P2(f2(x4681,x4682,x4682,x4683),x4682,x4682,f5(x4682,f2(x4681,x4682,x4682,x4683),f2(x4681,x4682,x4682,x4683),f2(x4681,x4682,x4682,x4683),f2(x4681,x4682,x4682,x4683),x4683))),
% 1.27/1.33 inference(scs_inference,[],[41,460,42,36,40,60,244,409,101,83,78,91])).
% 1.27/1.33 cnf(470,plain,
% 1.27/1.33 (P2(x4701,x4702,x4702,x4701)),
% 1.27/1.33 inference(rename_variables,[],[41])).
% 1.27/1.33 cnf(474,plain,
% 1.27/1.33 (~P2(x4741,x4741,f2(x4742,x4743,a6,a8),x4743)),
% 1.27/1.33 inference(scs_inference,[],[41,460,42,36,40,60,244,409,352,101,83,78,91,88,85])).
% 1.27/1.33 cnf(480,plain,
% 1.27/1.33 (E(f2(x4801,x4802,a6,a8),f5(x4802,f2(x4803,x4802,a6,a8),f2(x4801,x4802,a6,a8),f2(x4803,x4802,a6,a8),f2(x4803,x4802,a6,a8),f2(x4801,x4802,a6,a8)))),
% 1.27/1.33 inference(scs_inference,[],[41,460,42,36,40,60,244,409,378,352,101,83,78,91,88,85,87,64,63])).
% 1.27/1.33 cnf(483,plain,
% 1.27/1.33 (P1(x4831,x4831,x4832)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(486,plain,
% 1.27/1.33 (P1(x4861,x4862,f2(x4861,x4862,x4863,x4864))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(491,plain,
% 1.27/1.33 (P2(x4911,x4912,x4912,x4911)),
% 1.27/1.33 inference(rename_variables,[],[41])).
% 1.27/1.33 cnf(492,plain,
% 1.27/1.33 (P2(x4921,x4922,x4921,x4922)),
% 1.27/1.33 inference(rename_variables,[],[42])).
% 1.27/1.33 cnf(493,plain,
% 1.27/1.33 (P1(x4931,x4931,x4932)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(495,plain,
% 1.27/1.33 (E(f2(x4951,f2(x4952,x4951,x4953,x4953),x4951,f2(x4952,x4951,x4953,x4953)),f2(x4952,x4951,x4953,x4953))),
% 1.27/1.33 inference(scs_inference,[],[41,460,470,42,461,36,55,102,40,462,483,47,60,244,409,378,305,352,101,83,78,91,88,85,87,64,63,66,67,86,100,75])).
% 1.27/1.33 cnf(501,plain,
% 1.27/1.33 (~E(f2(x5011,f2(x5012,x5013,x5014,x5014),a6,a8),x5013)),
% 1.27/1.33 inference(scs_inference,[],[41,460,470,42,461,49,36,55,102,40,462,483,47,60,244,290,409,378,305,352,101,83,78,91,88,85,87,64,63,66,67,86,100,75,82,33,3])).
% 1.27/1.33 cnf(502,plain,
% 1.27/1.33 (~E(f2(x5021,x5022,a6,a8),x5022)),
% 1.27/1.33 inference(rename_variables,[],[60])).
% 1.27/1.33 cnf(507,plain,
% 1.27/1.33 (P2(x5071,x5072,x5072,x5071)),
% 1.27/1.33 inference(rename_variables,[],[41])).
% 1.27/1.33 cnf(515,plain,
% 1.27/1.33 (E(x5151,f2(x5152,x5151,x5153,x5153))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(517,plain,
% 1.27/1.33 (E(x5171,f2(x5172,x5171,x5173,x5173))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(518,plain,
% 1.27/1.33 (~E(x5181,f2(x5182,x5181,a6,a8))),
% 1.27/1.33 inference(scs_inference,[],[62,57,41,460,470,491,507,42,461,49,36,55,102,515,40,462,483,493,47,60,244,290,409,415,378,305,352,101,83,78,91,88,85,87,64,63,66,67,86,100,75,82,33,3,79,90,84,70,31,29,32])).
% 1.27/1.33 cnf(519,plain,
% 1.27/1.33 (P2(x5191,x5192,x5192,x5191)),
% 1.27/1.33 inference(rename_variables,[],[41])).
% 1.27/1.33 cnf(521,plain,
% 1.27/1.33 (P2(x5211,f2(x5211,x5211,x5211,x5211),f2(x5212,f2(x5211,x5211,x5211,x5211),x5213,x5213),f2(f2(x5211,x5211,x5211,x5211),x5211,f2(x5211,x5211,x5211,x5211),x5211))),
% 1.27/1.33 inference(scs_inference,[],[62,57,41,460,470,491,507,42,461,49,36,55,102,515,517,40,462,483,493,47,60,392,244,290,409,415,378,305,352,101,83,78,91,88,85,87,64,63,66,67,86,100,75,82,33,3,79,90,84,70,31,29,32,34])).
% 1.27/1.33 cnf(532,plain,
% 1.27/1.33 (~P1(a13,f7(a1,a14,a11,a13,a12),a1)),
% 1.27/1.33 inference(scs_inference,[],[62,57,41,460,470,491,507,42,461,49,36,55,102,515,517,40,462,483,493,47,486,60,392,219,244,290,409,415,273,378,305,261,352,127,61,101,83,78,91,88,85,87,64,63,66,67,86,100,75,82,33,3,79,90,84,70,31,29,32,34,2,35,30,73,95])).
% 1.27/1.33 cnf(535,plain,
% 1.27/1.33 (P1(x5351,x5352,x5352)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(545,plain,
% 1.27/1.33 (~P2(a6,a9,a6,a6)+~P1(f2(x5451,a6,a6,a8),a6,a9)),
% 1.27/1.33 inference(scs_inference,[],[62,57,41,460,470,491,507,519,42,461,492,49,36,55,102,515,517,39,535,40,462,483,493,47,486,60,502,53,392,219,244,290,409,415,273,378,305,261,352,127,327,61,101,83,78,91,88,85,87,64,63,66,67,86,100,75,82,33,3,79,90,84,70,31,29,32,34,2,35,30,73,95,71,74,94,81])).
% 1.27/1.33 cnf(550,plain,
% 1.27/1.33 (P1(x5501,x5502,f2(x5501,x5502,x5503,x5504))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(552,plain,
% 1.27/1.33 (~E(f2(x5521,f2(x5522,x5523,a6,a8),x5524,x5524),x5523)),
% 1.27/1.33 inference(scs_inference,[],[47,56,501,76,5])).
% 1.27/1.33 cnf(555,plain,
% 1.27/1.33 (P1(x5551,x5552,f2(x5551,x5552,x5553,x5554))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(556,plain,
% 1.27/1.33 (~E(x5561,f2(x5562,x5561,a6,a8))),
% 1.27/1.33 inference(rename_variables,[],[518])).
% 1.27/1.33 cnf(559,plain,
% 1.27/1.33 (P1(x5591,x5592,f2(x5591,x5592,x5593,x5594))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(563,plain,
% 1.27/1.33 (P1(x5631,x5632,f2(x5631,x5632,x5633,x5634))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(569,plain,
% 1.27/1.33 (E(f2(f2(x5691,x5692,x5691,x5692),x5692,f2(x5691,x5692,x5691,x5692),x5692),x5691)),
% 1.27/1.33 inference(rename_variables,[],[52])).
% 1.27/1.33 cnf(570,plain,
% 1.27/1.33 (P1(x5701,x5701,x5702)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(574,plain,
% 1.27/1.33 (~P2(a6,f5(a6,f2(x5741,a6,a6,a8),f2(x5741,a6,a6,a8),f2(x5741,a6,a6,a8),f2(x5741,a6,a6,a8),a8),x5742,x5742)),
% 1.27/1.33 inference(scs_inference,[],[36,57,59,52,40,47,550,555,559,56,468,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91])).
% 1.27/1.33 cnf(575,plain,
% 1.27/1.33 (P2(f2(x5751,x5752,x5752,x5753),x5752,x5752,f5(x5752,f2(x5751,x5752,x5752,x5753),f2(x5751,x5752,x5752,x5753),f2(x5751,x5752,x5752,x5753),f2(x5751,x5752,x5752,x5753),x5753))),
% 1.27/1.33 inference(rename_variables,[],[468])).
% 1.27/1.33 cnf(578,plain,
% 1.27/1.33 (P2(f5(x5781,f2(x5782,x5781,x5781,x5783),f2(x5782,x5781,x5781,x5783),f2(x5782,x5781,x5781,x5783),f2(x5782,x5781,x5781,x5783),x5783),x5781,f2(x5782,x5781,x5781,x5783),x5781)),
% 1.27/1.33 inference(scs_inference,[],[36,57,59,52,40,47,550,555,559,56,468,575,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83])).
% 1.27/1.33 cnf(589,plain,
% 1.27/1.33 (P2(x5891,f5(x5891,f2(x5892,x5891,x5891,x5893),f2(x5892,x5891,x5891,x5893),f2(x5892,x5891,x5891,x5893),f2(x5892,x5891,x5891,x5893),x5893),f2(x5892,x5891,x5891,x5893),x5891)),
% 1.27/1.33 inference(scs_inference,[],[36,57,59,52,40,47,550,555,559,56,53,468,575,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85])).
% 1.27/1.33 cnf(591,plain,
% 1.27/1.33 (P2(f2(x5911,x5911,x5911,x5911),x5911,f2(x5912,f2(x5911,x5911,x5911,x5911),x5913,x5913),f2(f2(x5911,x5911,x5911,x5911),x5911,f2(x5911,x5911,x5911,x5911),x5911))),
% 1.27/1.33 inference(scs_inference,[],[36,57,59,52,40,47,550,555,559,56,53,468,575,521,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85,87])).
% 1.27/1.33 cnf(595,plain,
% 1.27/1.33 (~P1(f2(x5951,f2(x5952,x5951,a6,a8),x5951,f2(x5952,x5951,a6,a8)),f2(x5952,x5951,a6,a8),f2(x5951,f2(x5952,x5951,a6,a8),x5951,f2(x5952,x5951,a6,a8)))),
% 1.27/1.33 inference(scs_inference,[],[36,57,59,52,40,570,47,550,555,559,56,53,468,575,521,466,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85,87,82,66])).
% 1.27/1.33 cnf(599,plain,
% 1.27/1.33 (P1(x5991,x5992,f2(x5991,x5992,x5993,x5994))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(605,plain,
% 1.27/1.33 (P2(f2(x6051,f2(x6052,x6052,x6052,x6052),x6053,x6053),f2(f2(x6052,x6052,x6052,x6052),x6052,f2(x6052,x6052,x6052,x6052),x6052),f2(x6052,x6052,x6052,x6052),x6052)),
% 1.27/1.33 inference(scs_inference,[],[36,57,41,59,52,40,570,47,550,555,559,563,56,53,468,575,521,466,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85,87,82,66,67,86,84,90])).
% 1.27/1.33 cnf(612,plain,
% 1.27/1.33 (P1(x6121,x6122,f2(x6121,x6122,x6123,x6124))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(615,plain,
% 1.27/1.33 (E(f2(f2(x6151,x6152,x6151,x6152),x6152,f2(x6151,x6152,x6151,x6152),x6152),x6151)),
% 1.27/1.33 inference(rename_variables,[],[52])).
% 1.27/1.33 cnf(617,plain,
% 1.27/1.33 (E(f2(f2(x6171,x6172,x6171,x6172),x6172,f2(x6171,x6172,x6171,x6172),x6172),x6171)),
% 1.27/1.33 inference(rename_variables,[],[52])).
% 1.27/1.33 cnf(619,plain,
% 1.27/1.33 (E(x6191,f2(x6192,x6191,x6193,x6193))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(620,plain,
% 1.27/1.33 (~P2(x6201,x6201,f2(f2(x6202,x6203,x6202,x6203),x6203,f2(x6202,x6203,x6202,x6203),x6203),f2(x6204,x6202,a6,a8))),
% 1.27/1.33 inference(scs_inference,[],[36,57,41,59,52,569,615,617,40,570,47,550,555,559,563,599,56,55,102,53,468,575,521,495,466,464,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85,87,82,66,67,86,84,90,79,70,31,29,3,34])).
% 1.27/1.33 cnf(621,plain,
% 1.27/1.33 (~P2(x6211,x6211,x6212,f2(x6213,x6212,a6,a8))),
% 1.27/1.33 inference(rename_variables,[],[464])).
% 1.27/1.33 cnf(622,plain,
% 1.27/1.33 (~P2(x6221,f2(f2(x6221,x6222,x6221,x6222),x6222,f2(x6221,x6222,x6221,x6222),x6222),x6223,f2(x6224,x6223,a6,a8))),
% 1.27/1.33 inference(scs_inference,[],[36,57,41,59,52,569,615,617,40,570,47,550,555,559,563,599,56,55,102,53,468,575,521,495,466,464,621,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85,87,82,66,67,86,84,90,79,70,31,29,3,34,33])).
% 1.27/1.33 cnf(623,plain,
% 1.27/1.33 (~P2(x6231,x6231,x6232,f2(x6233,x6232,a6,a8))),
% 1.27/1.33 inference(rename_variables,[],[464])).
% 1.27/1.33 cnf(627,plain,
% 1.27/1.33 (E(f2(f2(x6271,x6272,x6271,x6272),x6272,f2(x6271,x6272,x6271,x6272),x6272),x6271)),
% 1.27/1.33 inference(rename_variables,[],[52])).
% 1.27/1.33 cnf(628,plain,
% 1.27/1.33 (~P2(x6281,x6281,f2(x6282,x6283,a6,a8),f2(f2(x6283,x6284,x6283,x6284),x6284,f2(x6283,x6284,x6283,x6284),x6284))),
% 1.27/1.33 inference(scs_inference,[],[36,57,41,59,52,569,615,617,627,40,570,47,550,555,559,563,599,56,55,102,53,468,575,521,495,466,464,621,623,474,501,518,556,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85,87,82,66,67,86,84,90,79,70,31,29,3,34,33,32,30,35])).
% 1.27/1.33 cnf(649,plain,
% 1.27/1.33 (E(f2(x6491,f7(x6491,x6491,x6491,x6491,x6491),x6491,f7(x6491,x6491,x6491,x6491,x6491)),f7(x6491,x6491,x6491,x6491,x6491))),
% 1.27/1.33 inference(scs_inference,[],[36,57,51,41,42,59,49,52,569,615,617,627,40,570,47,550,555,559,563,599,612,39,56,55,102,619,53,468,575,521,495,466,464,621,623,474,501,518,556,480,370,411,273,409,76,5,73,72,74,78,65,95,91,83,71,64,63,88,85,87,82,66,67,86,84,90,79,70,31,29,3,34,33,32,30,35,2,80,27,26,24,22,21,20,14,8,6,94,75])).
% 1.27/1.33 cnf(675,plain,
% 1.27/1.33 (P1(x6751,x6752,f2(x6751,x6752,x6753,x6754))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(678,plain,
% 1.27/1.33 (P1(x6781,x6782,f2(x6781,x6782,x6783,x6784))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(681,plain,
% 1.27/1.33 (P1(a10,f7(x6811,x6811,a12,a10,a1),x6811)),
% 1.27/1.33 inference(scs_inference,[],[36,40,47,675,102,368,129,73,72,5,95])).
% 1.27/1.33 cnf(682,plain,
% 1.27/1.33 (P1(x6821,x6821,x6822)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(686,plain,
% 1.27/1.33 (~E(x6861,f2(x6861,f2(x6862,x6861,a6,a8),x6861,f2(x6862,x6861,a6,a8)))),
% 1.27/1.33 inference(scs_inference,[],[36,40,47,675,678,102,56,595,368,129,73,72,5,95,78,65])).
% 1.27/1.33 cnf(687,plain,
% 1.27/1.33 (P1(x6871,x6872,f2(x6871,x6872,x6873,x6874))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(689,plain,
% 1.27/1.33 (~P2(x6891,f2(f2(x6891,x6892,x6891,x6892),x6892,f2(x6891,x6892,x6891,x6892),x6892),f2(x6893,x6894,a6,a8),x6894)),
% 1.27/1.33 inference(scs_inference,[],[36,40,47,675,678,102,56,595,622,368,129,73,72,5,95,78,65,88])).
% 1.27/1.33 cnf(694,plain,
% 1.27/1.33 (P1(x6941,x6942,f2(x6941,x6942,x6943,x6944))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(698,plain,
% 1.27/1.33 (~P2(x6981,f2(x6982,x6981,a6,a8),f2(f2(x6983,x6984,x6983,x6984),x6984,f2(x6983,x6984,x6983,x6984),x6984),x6983)),
% 1.27/1.33 inference(scs_inference,[],[36,41,49,40,47,675,678,687,102,56,595,620,622,368,129,73,72,5,95,78,65,88,85,92,83])).
% 1.27/1.33 cnf(700,plain,
% 1.27/1.33 (P1(f2(x7001,x7002,x7003,x7004),x7002,x7001)),
% 1.27/1.33 inference(scs_inference,[],[36,41,49,40,47,675,678,687,694,102,56,595,620,622,368,129,73,72,5,95,78,65,88,85,92,83,64])).
% 1.27/1.33 cnf(702,plain,
% 1.27/1.33 (E(x7021,f7(x7021,x7022,x7022,x7021,x7021))),
% 1.27/1.33 inference(scs_inference,[],[36,41,49,40,47,675,678,687,694,102,56,595,620,622,368,200,129,73,72,5,95,78,65,88,85,92,83,64,63])).
% 1.27/1.33 cnf(703,plain,
% 1.27/1.33 (P1(x7031,f7(x7032,x7033,x7033,x7031,x7031),x7032)),
% 1.27/1.33 inference(rename_variables,[],[200])).
% 1.27/1.33 cnf(706,plain,
% 1.27/1.33 (P1(x7061,x7062,f2(x7061,x7062,x7063,x7064))),
% 1.27/1.33 inference(rename_variables,[],[47])).
% 1.27/1.33 cnf(715,plain,
% 1.27/1.33 (~P2(x7151,f2(f2(x7151,x7152,x7151,x7152),x7152,f2(x7151,x7152,x7151,x7152),x7152),x7153,f2(x7154,x7153,a6,a8))),
% 1.27/1.33 inference(rename_variables,[],[622])).
% 1.27/1.33 cnf(719,plain,
% 1.27/1.33 (P1(x7191,x7191,x7192)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(731,plain,
% 1.27/1.33 (P2(x7311,x7311,x7312,x7312)),
% 1.27/1.33 inference(rename_variables,[],[43])).
% 1.27/1.33 cnf(733,plain,
% 1.27/1.33 (P2(x7331,x7331,x7332,x7332)),
% 1.27/1.33 inference(rename_variables,[],[43])).
% 1.27/1.33 cnf(734,plain,
% 1.27/1.33 (P1(x7341,f2(x7342,x7341,x7343,x7343),x7344)),
% 1.27/1.33 inference(scs_inference,[],[36,58,43,731,51,44,41,49,52,40,682,719,47,675,678,687,694,706,102,60,56,38,595,620,622,715,368,322,436,200,703,129,73,72,5,95,78,65,88,85,92,83,64,63,67,86,87,82,90,66,79,84,70,31,34,33,29])).
% 1.27/1.33 cnf(735,plain,
% 1.27/1.33 (P1(x7351,x7351,x7352)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(736,plain,
% 1.27/1.33 (E(f2(x7361,f7(x7361,x7361,x7361,x7361,x7361),x7361,f7(x7361,x7361,x7361,x7361,x7361)),f2(x7362,f7(x7361,x7361,x7361,x7361,x7361),x7363,x7363))),
% 1.27/1.33 inference(scs_inference,[],[36,58,43,731,51,44,41,49,52,40,682,719,47,675,678,687,694,706,102,60,56,38,649,595,620,622,715,368,322,436,200,703,129,73,72,5,95,78,65,88,85,92,83,64,63,67,86,87,82,90,66,79,84,70,31,34,33,29,3])).
% 1.27/1.33 cnf(742,plain,
% 1.27/1.33 (~E(x7421,f2(x7422,f2(x7423,x7421,a6,a8),x7424,x7424))),
% 1.27/1.33 inference(scs_inference,[],[36,58,43,731,733,51,44,41,49,52,40,682,719,735,47,675,678,687,694,706,102,60,56,38,649,552,595,620,622,715,368,322,436,200,703,129,73,72,5,95,78,65,88,85,92,83,64,63,67,86,87,82,90,66,79,84,70,31,34,33,29,3,30,32,2])).
% 1.27/1.33 cnf(762,plain,
% 1.27/1.33 (~P2(a6,a9,a6,a6)),
% 1.27/1.33 inference(scs_inference,[],[700,545])).
% 1.27/1.33 cnf(764,plain,
% 1.27/1.33 (P1(f2(x7641,x7642,x7643,x7644),x7642,x7641)),
% 1.27/1.33 inference(rename_variables,[],[700])).
% 1.27/1.33 cnf(767,plain,
% 1.27/1.33 (P1(x7671,x7672,x7672)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(772,plain,
% 1.27/1.33 (P1(x7721,x7721,x7722)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(773,plain,
% 1.27/1.33 (P1(x7731,x7732,x7732)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(776,plain,
% 1.27/1.33 (~P1(x7761,f2(x7761,x7762,a6,a8),x7762)),
% 1.27/1.33 inference(rename_variables,[],[273])).
% 1.27/1.33 cnf(778,plain,
% 1.27/1.33 (~P1(a12,a13,a11)),
% 1.27/1.33 inference(scs_inference,[],[37,43,39,767,40,55,700,532,273,324,96,89,98,72,95])).
% 1.27/1.33 cnf(781,plain,
% 1.27/1.33 (~E(x7811,f2(x7812,f2(x7813,x7811,a6,a8),x7814,x7814))),
% 1.27/1.33 inference(rename_variables,[],[742])).
% 1.27/1.33 cnf(783,plain,
% 1.27/1.33 (P2(x7831,x7832,x7832,x7831)),
% 1.27/1.33 inference(rename_variables,[],[41])).
% 1.27/1.33 cnf(788,plain,
% 1.27/1.33 (P1(f2(x7881,x7882,x7883,x7884),x7882,x7881)),
% 1.27/1.33 inference(rename_variables,[],[700])).
% 1.27/1.33 cnf(793,plain,
% 1.27/1.33 (E(f2(f2(x7931,x7932,x7931,x7932),x7932,f2(x7931,x7932,x7931,x7932),x7932),x7931)),
% 1.27/1.33 inference(rename_variables,[],[52])).
% 1.27/1.33 cnf(809,plain,
% 1.27/1.33 (P1(x8091,x8092,x8092)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(811,plain,
% 1.27/1.33 (P1(x8111,f7(x8112,x8112,x8112,x8112,x8112),f2(x8112,f7(x8112,x8112,x8112,x8112,x8112),x8112,f7(x8112,x8112,x8112,x8112,x8112)))),
% 1.27/1.33 inference(scs_inference,[],[37,105,58,43,41,783,39,767,773,40,52,55,578,591,605,736,700,764,742,781,686,441,532,131,273,324,96,89,98,72,95,5,91,92,85,65,88,86,83,87,64,63,67,79])).
% 1.27/1.33 cnf(815,plain,
% 1.27/1.33 (P2(f2(x8151,f2(x8152,x8152,x8152,x8152),x8153,x8153),f2(f2(x8152,x8152,x8152,x8152),x8152,f2(x8152,x8152,x8152,x8152),x8152),x8152,f2(x8152,x8152,x8152,x8152))),
% 1.27/1.33 inference(scs_inference,[],[37,105,58,43,41,783,39,767,773,40,52,55,578,591,605,736,700,764,742,781,686,441,532,131,273,324,96,89,98,72,95,5,91,92,85,65,88,86,83,87,64,63,67,79,82,84])).
% 1.27/1.33 cnf(821,plain,
% 1.27/1.33 (P1(x8211,x8211,x8212)),
% 1.27/1.33 inference(rename_variables,[],[40])).
% 1.27/1.33 cnf(827,plain,
% 1.27/1.33 (P2(x8271,x8271,x8272,x8272)),
% 1.27/1.33 inference(rename_variables,[],[43])).
% 1.27/1.33 cnf(829,plain,
% 1.27/1.33 (E(x8291,f2(x8292,x8291,x8293,x8293))),
% 1.27/1.33 inference(rename_variables,[],[102])).
% 1.27/1.33 cnf(846,plain,
% 1.27/1.33 (P1(f2(x8461,x8462,x8463,x8464),x8462,x8461)),
% 1.27/1.33 inference(rename_variables,[],[700])).
% 1.27/1.33 cnf(849,plain,
% 1.27/1.33 (~P2(a9,a6,x8491,x8491)),
% 1.27/1.33 inference(scs_inference,[],[37,105,58,43,827,51,41,783,39,767,773,40,772,821,52,793,55,44,102,829,56,578,589,591,605,736,700,764,788,742,781,686,689,441,358,532,628,131,273,776,324,96,89,98,72,95,5,91,92,85,65,88,86,83,87,64,63,67,79,82,84,90,66,70,34,31,29,33,3,32,2,30,35,340,6,77])).
% 1.27/1.33 cnf(853,plain,
% 1.27/1.33 (P1(x8531,x8532,x8532)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(855,plain,
% 1.27/1.33 (P1(a9,a6,f3(a9,a9,a6,a6,a6))),
% 1.27/1.33 inference(scs_inference,[],[37,105,58,43,827,51,41,783,39,767,773,809,853,40,772,821,52,793,55,44,102,829,56,578,589,591,605,736,700,764,788,742,781,686,689,441,358,532,628,131,273,776,324,96,89,98,72,95,5,91,92,85,65,88,86,83,87,64,63,67,79,82,84,90,66,70,34,31,29,33,3,32,2,30,35,340,6,77,99,97])).
% 1.27/1.33 cnf(857,plain,
% 1.27/1.33 (P1(x8571,x8572,x8572)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(859,plain,
% 1.27/1.33 (~P2(a9,a9,a9,a6)),
% 1.27/1.33 inference(scs_inference,[],[37,105,58,43,827,51,41,783,39,767,773,809,853,857,40,772,821,52,793,55,44,102,829,60,56,578,589,591,605,736,700,764,788,846,742,781,686,689,441,358,532,628,131,273,776,324,96,89,98,72,95,5,91,92,85,65,88,86,83,87,64,63,67,79,82,84,90,66,70,34,31,29,33,3,32,2,30,35,340,6,77,99,97,81])).
% 1.27/1.33 cnf(881,plain,
% 1.27/1.33 (P1(x8811,x8812,x8812)),
% 1.27/1.33 inference(rename_variables,[],[39])).
% 1.27/1.33 cnf(888,plain,
% 1.27/1.33 (P2(x8881,f2(x8882,x8881,x8883,x8884),x8883,x8884)),
% 1.27/1.33 inference(rename_variables,[],[49])).
% 1.27/1.33 cnf(904,plain,
% 1.27/1.33 (P1(a10,f7(x9041,x9041,a12,a10,a1),x9041)),
% 1.27/1.33 inference(rename_variables,[],[681])).
% 1.27/1.33 cnf(914,plain,
% 1.27/1.33 ($false),
% 1.27/1.33 inference(scs_inference,[],[37,49,888,39,881,40,47,38,55,811,815,702,734,139,698,762,681,904,849,855,778,859,574,368,99,6,73,95,97,85,91,5,92,88,86,87,63,67,79,83,64]),
% 1.27/1.33 ['proof']).
% 1.27/1.33 % SZS output end Proof
% 1.27/1.33 % Total time :0.670000s
%------------------------------------------------------------------------------