TSTP Solution File: GEO030-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO030-3 : 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 : n016.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 22:42:31 EDT 2023
% Result : Unsatisfiable 0.56s 0.85s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 22:51:16 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.56/0.83 %-------------------------------------------
% 0.56/0.83 % File :CSE---1.6
% 0.56/0.83 % Problem :theBenchmark
% 0.56/0.83 % Transform :cnf
% 0.56/0.83 % Format :tptp:raw
% 0.56/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.83
% 0.56/0.83 % Result :Theorem 0.220000s
% 0.56/0.83 % Output :CNFRefutation 0.220000s
% 0.56/0.83 %-------------------------------------------
% 0.56/0.84 %--------------------------------------------------------------------------
% 0.56/0.84 % File : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.56/0.84 % Domain : Geometry
% 0.56/0.84 % Problem : Corollary to the outer five-segment axiom
% 0.56/0.84 % Version : [Qua89] axioms : Augmented.
% 0.56/0.84 % English :
% 0.56/0.84
% 0.56/0.84 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.56/0.84 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.56/0.84 % Source : [Qua89]
% 0.56/0.84 % Names : D11 [Qua89]
% 0.56/0.84
% 0.56/0.84 % Status : Unsatisfiable
% 0.56/0.84 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.32 v7.4.0, 0.29 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.00 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.36 v6.0.0, 0.20 v5.5.0, 0.50 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.43 v4.1.0, 0.31 v4.0.1, 0.45 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.42 v3.3.0, 0.43 v3.2.0, 0.23 v3.1.0, 0.45 v2.7.0, 0.50 v2.5.0, 0.42 v2.4.0, 0.67 v2.3.0, 0.44 v2.2.1, 0.33 v2.2.0, 0.22 v2.1.0, 0.44 v2.0.0
% 0.56/0.84 % Syntax : Number of clauses : 69 ( 28 unt; 14 nHn; 50 RR)
% 0.56/0.84 % Number of literals : 163 ( 39 equ; 87 neg)
% 0.56/0.84 % Maximal clause size : 8 ( 2 avg)
% 0.56/0.84 % Maximal term depth : 3 ( 1 avg)
% 0.56/0.84 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.56/0.84 % Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% 0.56/0.84 % Number of variables : 214 ( 13 sgn)
% 0.56/0.84 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.84
% 0.56/0.84 % Comments :
% 0.56/0.84 %--------------------------------------------------------------------------
% 0.56/0.84 %----Include Tarski geometry axioms
% 0.56/0.84 include('Axioms/GEO002-0.ax').
% 0.56/0.84 %----Include definition of reflection
% 0.56/0.84 include('Axioms/GEO002-2.ax').
% 0.56/0.84 %--------------------------------------------------------------------------
% 0.56/0.84 cnf(d1,axiom,
% 0.56/0.84 equidistant(U,V,U,V) ).
% 0.56/0.84
% 0.56/0.84 cnf(d2,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | equidistant(W,X,U,V) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d3,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | equidistant(V,U,W,X) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d4_1,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | equidistant(U,V,X,W) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d4_2,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | equidistant(V,U,X,W) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d4_3,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | equidistant(W,X,V,U) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d4_4,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | equidistant(X,W,U,V) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d4_5,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | equidistant(X,W,V,U) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d5,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,W,X)
% 0.56/0.84 | ~ equidistant(W,X,Y,Z)
% 0.56/0.84 | equidistant(U,V,Y,Z) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(e1,axiom,
% 0.56/0.84 V = extension(U,V,W,W) ).
% 0.56/0.84
% 0.56/0.84 cnf(b0,axiom,
% 0.56/0.84 ( Y != extension(U,V,W,X)
% 0.56/0.84 | between(U,V,Y) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(r2_1,axiom,
% 0.56/0.84 between(U,V,reflection(U,V)) ).
% 0.56/0.84
% 0.56/0.84 cnf(r2_2,axiom,
% 0.56/0.84 equidistant(V,reflection(U,V),U,V) ).
% 0.56/0.84
% 0.56/0.84 cnf(r3_1,axiom,
% 0.56/0.84 ( U != V
% 0.56/0.84 | V = reflection(U,V) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(r3_2,axiom,
% 0.56/0.84 U = reflection(U,U) ).
% 0.56/0.84
% 0.56/0.84 cnf(r4,axiom,
% 0.56/0.84 ( V != reflection(U,V)
% 0.56/0.84 | U = V ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d7,axiom,
% 0.56/0.84 equidistant(U,U,V,V) ).
% 0.56/0.84
% 0.56/0.84 cnf(d8,axiom,
% 0.56/0.84 ( ~ equidistant(U,V,U1,V1)
% 0.56/0.84 | ~ equidistant(V,W,V1,W1)
% 0.56/0.84 | ~ between(U,V,W)
% 0.56/0.84 | ~ between(U1,V1,W1)
% 0.56/0.84 | equidistant(U,W,U1,W1) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d9,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(U,V,X)
% 0.56/0.84 | ~ equidistant(V,W,V,X)
% 0.56/0.84 | U = V
% 0.56/0.84 | W = X ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d10_1,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | U = V
% 0.56/0.84 | W = extension(U,V,V,W) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d10_2,axiom,
% 0.56/0.84 ( ~ equidistant(W,X,Y,Z)
% 0.56/0.84 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.56/0.84 | U = V ) ).
% 0.56/0.84
% 0.56/0.84 cnf(d10_3,axiom,
% 0.56/0.84 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.56/0.84 | U = V ) ).
% 0.56/0.84
% 0.56/0.84 cnf(r5,axiom,
% 0.56/0.84 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.56/0.84
% 0.56/0.84 cnf(r6,axiom,
% 0.56/0.84 U = reflection(reflection(U,V),V) ).
% 0.56/0.84
% 0.56/0.84 cnf(t3,axiom,
% 0.56/0.84 between(U,V,V) ).
% 0.56/0.84
% 0.56/0.84 cnf(b1,axiom,
% 0.56/0.84 ( ~ between(U,W,X)
% 0.56/0.84 | U != X
% 0.56/0.84 | between(V,W,X) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(t1,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | between(W,V,U) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(t2,axiom,
% 0.56/0.84 between(U,U,V) ).
% 0.56/0.84
% 0.56/0.84 cnf(b2,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(V,U,W)
% 0.56/0.84 | U = V ) ).
% 0.56/0.84
% 0.56/0.84 cnf(b3,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(U,W,V)
% 0.56/0.84 | V = W ) ).
% 0.56/0.84
% 0.56/0.84 cnf(t6_1,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(V,U,W)
% 0.56/0.84 | U = V
% 0.56/0.84 | V = W ) ).
% 0.56/0.84
% 0.56/0.84 cnf(t6_2,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(U,W,V)
% 0.56/0.84 | U = V
% 0.56/0.84 | V = W ) ).
% 0.56/0.84
% 0.56/0.84 cnf(b4,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(V,W,X)
% 0.56/0.84 | between(U,V,W) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(b5,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(U,W,X)
% 0.56/0.84 | between(V,W,X) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(b6,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(V,W,X)
% 0.56/0.84 | between(U,W,X)
% 0.56/0.84 | V = W ) ).
% 0.56/0.84
% 0.56/0.84 cnf(b7,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(V,W,X)
% 0.56/0.84 | between(U,V,X)
% 0.56/0.84 | V = W ) ).
% 0.56/0.84
% 0.56/0.84 cnf(b8,axiom,
% 0.56/0.84 ( ~ between(U,V,X)
% 0.56/0.84 | ~ between(V,W,X)
% 0.56/0.84 | between(U,W,X) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(b9,axiom,
% 0.56/0.84 ( ~ between(U,V,W)
% 0.56/0.84 | ~ between(U,W,X)
% 0.56/0.84 | between(U,V,X) ) ).
% 0.56/0.84
% 0.56/0.84 cnf(e2_1,axiom,
% 0.56/0.84 lower_dimension_point_1 != lower_dimension_point_2 ).
% 0.56/0.84
% 0.56/0.84 cnf(e2_2,axiom,
% 0.56/0.84 lower_dimension_point_2 != lower_dimension_point_3 ).
% 0.56/0.84
% 0.56/0.84 cnf(e2_3,axiom,
% 0.56/0.84 lower_dimension_point_1 != lower_dimension_point_3 ).
% 0.56/0.84
% 0.56/0.84 cnf(e3_1,axiom,
% 0.56/0.84 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 0.56/0.84
% 0.56/0.84 cnf(e3_2,axiom,
% 0.56/0.84 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)) ).
% 0.56/0.84
% 0.56/0.84 cnf(e3_3,axiom,
% 0.56/0.84 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 0.56/0.84
% 0.56/0.84 cnf(b10,axiom,
% 0.56/0.85 ( ~ between(U,V,W)
% 0.56/0.85 | ~ between(U1,V1,W)
% 0.56/0.85 | ~ between(U,X,U1)
% 0.56/0.85 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 0.56/0.85 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 0.56/0.85
% 0.56/0.85 cnf(v_between_u_and_w,hypothesis,
% 0.56/0.85 between(u,v,w) ).
% 0.56/0.85
% 0.56/0.85 cnf(u_to_w_equals_u_to_w1,hypothesis,
% 0.56/0.85 equidistant(u,w,u,w1) ).
% 0.56/0.85
% 0.56/0.85 cnf(v_to_w_equals_v_to_w1,hypothesis,
% 0.56/0.85 equidistant(v,w,v,w1) ).
% 0.56/0.85
% 0.56/0.85 cnf(u_not_v,hypothesis,
% 0.56/0.85 u != v ).
% 0.56/0.85
% 0.56/0.85 cnf(prove_w_is_w1,negated_conjecture,
% 0.56/0.85 w != w1 ).
% 0.56/0.85
% 0.56/0.85 %--------------------------------------------------------------------------
% 0.56/0.85 %-------------------------------------------
% 0.56/0.85 % Proof found
% 0.56/0.85 % SZS status Theorem for theBenchmark
% 0.56/0.85 % SZS output start Proof
% 0.56/0.85 %ClaNum:102(EqnAxiom:35)
% 0.56/0.85 %VarNum:529(SingletonVarNum:195)
% 0.56/0.85 %MaxLitNum:8
% 0.56/0.85 %MaxfuncDepth:2
% 0.56/0.85 %SharedTerms:18
% 0.56/0.85 %goalClause: 58
% 0.56/0.85 %singleGoalClaCount:1
% 0.56/0.85 [36]P1(a1,a10,a11)
% 0.56/0.85 [39]P2(a1,a11,a1,a12)
% 0.56/0.85 [40]P2(a10,a11,a10,a12)
% 0.56/0.85 [54]~E(a8,a6)
% 0.56/0.85 [55]~E(a9,a6)
% 0.56/0.85 [56]~E(a9,a8)
% 0.56/0.85 [57]~E(a10,a1)
% 0.56/0.85 [58]~E(a12,a11)
% 0.56/0.85 [59]~P1(a6,a8,a9)
% 0.56/0.85 [60]~P1(a8,a9,a6)
% 0.56/0.85 [61]~P1(a9,a6,a8)
% 0.56/0.85 [37]P1(x371,x372,x372)
% 0.56/0.85 [38]P1(x381,x381,x382)
% 0.56/0.85 [41]P2(x411,x412,x412,x411)
% 0.56/0.85 [42]P2(x421,x422,x421,x422)
% 0.56/0.85 [43]P2(x431,x431,x432,x432)
% 0.56/0.85 [62]~E(f2(x621,x622,a6,a8),x622)
% 0.56/0.85 [52]E(f2(f2(x521,x522,x521,x522),x522,f2(x521,x522,x521,x522),x522),x521)
% 0.56/0.85 [53]P2(x531,x532,x531,f2(f2(x532,x531,x532,x531),x531,f2(x532,x531,x532,x531),x531))
% 0.56/0.85 [44]E(f2(x441,x442,x443,x443),x442)
% 0.56/0.85 [47]P1(x471,x472,f2(x471,x472,x473,x474))
% 0.56/0.85 [49]P2(x491,f2(x492,x491,x493,x494),x493,x494)
% 0.56/0.85 [51]P2(x511,f2(x512,x511,a6,a8),x513,f2(x514,x513,a6,a8))
% 0.56/0.85 [63]~P1(x631,x632,x631)+E(x631,x632)
% 0.56/0.85 [75]~E(x751,x752)+E(f2(x751,x752,x751,x752),x752)
% 0.56/0.85 [78]E(x781,x782)+~E(f2(x782,x781,x782,x781),x781)
% 0.56/0.85 [80]E(x801,x802)+E(f2(x801,x802,x801,x802),f2(x801,x802,x802,x801))
% 0.56/0.85 [64]~P1(x643,x642,x641)+P1(x641,x642,x643)
% 0.56/0.85 [77]~P2(x771,x772,x773,x773)+E(x771,x772)
% 0.56/0.85 [82]~P2(x824,x823,x822,x821)+P2(x821,x822,x823,x824)
% 0.56/0.85 [83]~P2(x833,x834,x832,x831)+P2(x831,x832,x833,x834)
% 0.56/0.85 [84]~P2(x844,x843,x841,x842)+P2(x841,x842,x843,x844)
% 0.56/0.85 [85]~P2(x853,x854,x851,x852)+P2(x851,x852,x853,x854)
% 0.56/0.85 [86]~P2(x862,x861,x864,x863)+P2(x861,x862,x863,x864)
% 0.56/0.85 [87]~P2(x872,x871,x873,x874)+P2(x871,x872,x873,x874)
% 0.56/0.85 [88]~P2(x881,x882,x884,x883)+P2(x881,x882,x883,x884)
% 0.56/0.85 [79]P1(x791,x792,x793)+~E(x793,f2(x791,x792,x794,x795))
% 0.56/0.85 [66]~P1(x663,x661,x662)+E(x661,x662)+~P1(x663,x662,x661)
% 0.56/0.85 [67]~P1(x671,x672,x673)+E(x671,x672)+~P1(x672,x671,x673)
% 0.56/0.85 [76]~P1(x761,x762,x763)+E(x761,x762)+E(f2(x761,x762,x762,x763),x763)
% 0.56/0.85 [65]~P1(x654,x652,x653)+P1(x651,x652,x653)+~E(x654,x653)
% 0.56/0.85 [70]~P1(x704,x701,x702)+P1(x701,x702,x703)+~P1(x704,x702,x703)
% 0.56/0.85 [71]~P1(x711,x714,x713)+P1(x711,x712,x713)+~P1(x714,x712,x713)
% 0.56/0.85 [72]~P1(x721,x722,x724)+P1(x721,x722,x723)+~P1(x721,x724,x723)
% 0.56/0.85 [95]~P1(x955,x951,x954)+~P1(x952,x953,x954)+P1(x951,f7(x952,x953,x954,x951,x955),x952)
% 0.56/0.85 [96]~P1(x965,x964,x963)+~P1(x962,x961,x963)+P1(x961,f7(x962,x961,x963,x964,x965),x965)
% 0.56/0.85 [90]~P2(x905,x906,x901,x902)+P2(x901,x902,x903,x904)+~P2(x905,x906,x903,x904)
% 0.56/0.85 [91]~P2(x911,x912,x915,x916)+P2(x911,x912,x913,x914)+~P2(x915,x916,x913,x914)
% 0.56/0.85 [89]~P2(x893,x894,x895,x896)+E(x891,x892)+E(f2(x891,x892,x893,x894),f2(x891,x892,x895,x896))
% 0.56/0.85 [73]~P1(x731,x732,x734)+~P1(x733,x731,x732)+E(x731,x732)+P1(x733,x732,x734)
% 0.56/0.85 [74]~P1(x741,x742,x744)+~P1(x743,x741,x742)+E(x741,x742)+P1(x743,x741,x744)
% 0.56/0.85 [97]~P1(x974,x972,x973)+~P1(x971,x972,x975)+E(x971,x972)+P1(x971,x973,f3(x971,x974,x972,x973,x975))
% 0.56/0.85 [98]~P1(x983,x982,x984)+~P1(x981,x982,x985)+E(x981,x982)+P1(x981,x983,f4(x981,x983,x982,x984,x985))
% 0.56/0.85 [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))
% 0.56/0.85 [81]~P1(x813,x814,x812)+~P1(x813,x814,x811)+~P2(x814,x811,x814,x812)+E(x811,x812)+E(x813,x814)
% 0.56/0.85 [92]~P2(x926,x922,x925,x924)+~P2(x921,x926,x923,x925)+P2(x921,x922,x923,x924)+~P1(x923,x925,x924)+~P1(x921,x926,x922)
% 0.56/0.85 [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)
% 0.56/0.85 [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))
% 0.56/0.85 [102]~P1(x1024,x1022,x1025)+~P1(x1023,x1021,x1024)+~P1(x1023,x1026,x1025)+P1(x1021,f7(x1022,f7(x1023,x1021,x1024,x1022,x1025),x1023,x1026,x1025),x1025)+P1(x1026,f7(x1022,f7(x1023,x1021,x1024,x1022,x1025),x1023,x1026,x1025),x1022)
% 0.56/0.85 [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)
% 0.56/0.85 [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)
% 0.56/0.85 %EqnAxiom
% 0.56/0.85 [1]E(x11,x11)
% 0.56/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.85 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.56/0.85 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.56/0.85 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.56/0.85 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.56/0.85 [8]~E(x81,x82)+E(f7(x81,x83,x84,x85,x86),f7(x82,x83,x84,x85,x86))
% 0.56/0.85 [9]~E(x91,x92)+E(f7(x93,x91,x94,x95,x96),f7(x93,x92,x94,x95,x96))
% 0.56/0.85 [10]~E(x101,x102)+E(f7(x103,x104,x101,x105,x106),f7(x103,x104,x102,x105,x106))
% 0.56/0.85 [11]~E(x111,x112)+E(f7(x113,x114,x115,x111,x116),f7(x113,x114,x115,x112,x116))
% 0.56/0.85 [12]~E(x121,x122)+E(f7(x123,x124,x125,x126,x121),f7(x123,x124,x125,x126,x122))
% 0.56/0.85 [13]~E(x131,x132)+E(f3(x131,x133,x134,x135,x136),f3(x132,x133,x134,x135,x136))
% 0.56/0.85 [14]~E(x141,x142)+E(f3(x143,x141,x144,x145,x146),f3(x143,x142,x144,x145,x146))
% 0.56/0.85 [15]~E(x151,x152)+E(f3(x153,x154,x151,x155,x156),f3(x153,x154,x152,x155,x156))
% 0.56/0.85 [16]~E(x161,x162)+E(f3(x163,x164,x165,x161,x166),f3(x163,x164,x165,x162,x166))
% 0.56/0.85 [17]~E(x171,x172)+E(f3(x173,x174,x175,x176,x171),f3(x173,x174,x175,x176,x172))
% 0.56/0.85 [18]~E(x181,x182)+E(f4(x181,x183,x184,x185,x186),f4(x182,x183,x184,x185,x186))
% 0.56/0.85 [19]~E(x191,x192)+E(f4(x193,x191,x194,x195,x196),f4(x193,x192,x194,x195,x196))
% 0.56/0.85 [20]~E(x201,x202)+E(f4(x203,x204,x201,x205,x206),f4(x203,x204,x202,x205,x206))
% 0.56/0.85 [21]~E(x211,x212)+E(f4(x213,x214,x215,x211,x216),f4(x213,x214,x215,x212,x216))
% 0.56/0.85 [22]~E(x221,x222)+E(f4(x223,x224,x225,x226,x221),f4(x223,x224,x225,x226,x222))
% 0.56/0.85 [23]~E(x231,x232)+E(f5(x231,x233,x234,x235,x236,x237),f5(x232,x233,x234,x235,x236,x237))
% 0.56/0.85 [24]~E(x241,x242)+E(f5(x243,x241,x244,x245,x246,x247),f5(x243,x242,x244,x245,x246,x247))
% 0.56/0.85 [25]~E(x251,x252)+E(f5(x253,x254,x251,x255,x256,x257),f5(x253,x254,x252,x255,x256,x257))
% 0.56/0.85 [26]~E(x261,x262)+E(f5(x263,x264,x265,x261,x266,x267),f5(x263,x264,x265,x262,x266,x267))
% 0.56/0.85 [27]~E(x271,x272)+E(f5(x273,x274,x275,x276,x271,x277),f5(x273,x274,x275,x276,x272,x277))
% 0.56/0.85 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x287,x281),f5(x283,x284,x285,x286,x287,x282))
% 0.56/0.85 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.56/0.85 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.56/0.85 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.56/0.85 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.56/0.85 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.56/0.85 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.56/0.85 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.56/0.85
% 0.56/0.85 %-------------------------------------------
% 0.56/0.85 cnf(103,plain,
% 0.56/0.85 (E(x1031,f2(x1032,x1031,x1033,x1033))),
% 0.56/0.85 inference(scs_inference,[],[44,2])).
% 0.56/0.85 cnf(104,plain,
% 0.56/0.85 (~P2(a12,a11,x1041,x1041)),
% 0.56/0.85 inference(scs_inference,[],[58,44,2,77])).
% 0.56/0.85 cnf(111,plain,
% 0.56/0.85 (E(f2(x1111,x1112,x1113,x1113),x1112)),
% 0.56/0.85 inference(rename_variables,[],[44])).
% 0.56/0.85 cnf(114,plain,
% 0.56/0.85 (~E(f2(x1141,x1142,a6,a8),x1142)),
% 0.56/0.85 inference(rename_variables,[],[62])).
% 0.56/0.85 cnf(117,plain,
% 0.56/0.85 (P2(x1171,x1172,x1171,x1172)),
% 0.56/0.85 inference(rename_variables,[],[42])).
% 0.56/0.85 cnf(119,plain,
% 0.56/0.85 (P2(x1191,x1192,x1191,x1192)),
% 0.56/0.85 inference(rename_variables,[],[42])).
% 0.56/0.85 cnf(121,plain,
% 0.56/0.85 (P2(x1211,f2(x1212,x1211,x1213,x1214),x1213,x1214)),
% 0.56/0.85 inference(rename_variables,[],[49])).
% 0.56/0.85 cnf(123,plain,
% 0.56/0.85 (P2(x1231,x1232,x1232,x1231)),
% 0.56/0.85 inference(rename_variables,[],[41])).
% 0.56/0.85 cnf(125,plain,
% 0.56/0.85 (P1(x1251,x1252,x1252)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(127,plain,
% 0.56/0.85 (P1(x1271,x1272,f2(x1271,x1272,x1273,x1274))),
% 0.56/0.85 inference(rename_variables,[],[47])).
% 0.56/0.85 cnf(129,plain,
% 0.56/0.85 (P1(x1291,x1292,f2(x1291,x1292,x1293,x1294))),
% 0.56/0.85 inference(rename_variables,[],[47])).
% 0.56/0.85 cnf(131,plain,
% 0.56/0.85 (E(f2(x1311,x1312,x1313,x1313),x1312)),
% 0.56/0.85 inference(rename_variables,[],[44])).
% 0.56/0.85 cnf(133,plain,
% 0.56/0.85 (P2(x1331,x1332,x1332,x1331)),
% 0.56/0.85 inference(rename_variables,[],[41])).
% 0.56/0.85 cnf(137,plain,
% 0.56/0.85 (P2(x1371,x1372,x1372,x1371)),
% 0.56/0.85 inference(rename_variables,[],[41])).
% 0.56/0.85 cnf(140,plain,
% 0.56/0.85 (P1(x1401,x1402,x1402)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(143,plain,
% 0.56/0.85 (P1(x1431,x1431,x1432)),
% 0.56/0.85 inference(rename_variables,[],[38])).
% 0.56/0.85 cnf(189,plain,
% 0.56/0.85 (P1(x1891,x1892,f2(x1891,x1892,x1893,x1894))),
% 0.56/0.85 inference(rename_variables,[],[47])).
% 0.56/0.85 cnf(192,plain,
% 0.56/0.85 (P1(x1921,x1922,x1922)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(199,plain,
% 0.56/0.85 (P1(x1991,x1991,x1992)),
% 0.56/0.85 inference(rename_variables,[],[38])).
% 0.56/0.85 cnf(205,plain,
% 0.56/0.85 (P1(x2051,x2052,x2052)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(209,plain,
% 0.56/0.85 (P1(x2091,x2092,x2092)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(212,plain,
% 0.56/0.85 (P1(x2121,x2122,f2(x2121,x2122,x2123,x2124))),
% 0.56/0.85 inference(rename_variables,[],[47])).
% 0.56/0.85 cnf(213,plain,
% 0.56/0.85 (P1(x2131,x2132,x2132)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(217,plain,
% 0.56/0.85 (~P2(a11,f2(a12,a11,a6,a8),a11,a11)),
% 0.56/0.85 inference(scs_inference,[],[58,41,123,133,137,42,117,119,37,125,140,192,205,209,213,38,143,36,39,40,54,59,49,121,47,127,129,189,212,44,111,131,62,114,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96,95,89,97,99,92,81])).
% 0.56/0.85 cnf(219,plain,
% 0.56/0.85 (P1(x2191,x2192,x2192)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(225,plain,
% 0.56/0.85 (P1(x2251,x2252,x2252)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(226,plain,
% 0.56/0.85 (P2(x2261,x2262,x2262,x2261)),
% 0.56/0.85 inference(rename_variables,[],[41])).
% 0.56/0.85 cnf(229,plain,
% 0.56/0.85 (P1(x2291,x2292,x2292)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(231,plain,
% 0.56/0.85 (P1(x2311,x2312,x2312)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(241,plain,
% 0.56/0.85 (P1(x2411,x2412,x2412)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(243,plain,
% 0.56/0.85 (P1(x2431,f7(x2431,f7(x2431,x2431,x2431,x2431,x2431),x2431,x2431,x2431),x2431)),
% 0.56/0.85 inference(scs_inference,[],[58,41,123,133,137,226,42,117,119,37,125,140,192,205,209,213,219,225,231,241,229,38,143,199,36,39,40,54,59,61,49,121,47,127,129,189,212,44,111,131,62,114,53,2,77,64,63,79,75,35,34,33,32,31,30,29,3,91,90,67,66,88,87,86,85,84,83,82,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,80,72,71,65,96,95,89,97,99,92,81,101,100,70,76,98,102])).
% 0.56/0.85 cnf(254,plain,
% 0.56/0.85 (P1(x2541,f7(x2542,x2542,x2541,x2541,x2543),x2542)),
% 0.56/0.85 inference(scs_inference,[],[58,43,37,38,60,79,89,95])).
% 0.56/0.85 cnf(255,plain,
% 0.56/0.85 (P1(x2551,x2551,x2552)),
% 0.56/0.85 inference(rename_variables,[],[38])).
% 0.56/0.85 cnf(258,plain,
% 0.56/0.85 (P1(x2581,x2581,x2582)),
% 0.56/0.85 inference(rename_variables,[],[38])).
% 0.56/0.85 cnf(259,plain,
% 0.56/0.85 (P1(x2591,x2592,x2592)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(261,plain,
% 0.56/0.85 (P1(f2(x2611,x2612,a6,a8),f5(x2612,f2(x2613,x2612,a6,a8),f2(x2611,x2612,a6,a8),f2(x2613,x2612,a6,a8),f2(x2613,x2612,a6,a8),f2(x2611,x2612,a6,a8)),f2(x2611,x2612,a6,a8))),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,37,259,38,255,258,60,79,89,95,97,100])).
% 0.56/0.85 cnf(263,plain,
% 0.56/0.85 (P1(x2631,x2632,x2632)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(264,plain,
% 0.56/0.85 (P2(x2641,f2(x2642,x2641,a6,a8),x2643,f2(x2644,x2643,a6,a8))),
% 0.56/0.85 inference(rename_variables,[],[51])).
% 0.56/0.85 cnf(265,plain,
% 0.56/0.85 (P1(x2651,x2651,x2652)),
% 0.56/0.85 inference(rename_variables,[],[38])).
% 0.56/0.85 cnf(269,plain,
% 0.56/0.85 (~P2(x2691,x2691,a11,a12)),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,37,259,38,255,258,60,104,79,89,95,97,100,85,82])).
% 0.56/0.85 cnf(273,plain,
% 0.56/0.85 (~P2(a11,a11,f2(a12,a11,a6,a8),a11)),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,37,259,38,255,258,60,44,104,217,79,89,95,97,100,85,82,75,83])).
% 0.56/0.85 cnf(275,plain,
% 0.56/0.85 (P1(f2(x2751,x2752,x2753,x2754),x2752,x2751)),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,37,259,38,255,258,47,60,44,104,217,79,89,95,97,100,85,82,75,83,64])).
% 0.56/0.85 cnf(280,plain,
% 0.56/0.85 (E(f2(f2(x2801,x2802,x2801,x2802),x2802,f2(x2801,x2802,x2801,x2802),x2802),x2801)),
% 0.56/0.85 inference(rename_variables,[],[52])).
% 0.56/0.85 cnf(281,plain,
% 0.56/0.85 (~P1(x2811,f2(x2811,x2812,a6,a8),x2812)),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,52,37,259,38,255,258,47,62,60,44,243,104,217,79,89,95,97,100,85,82,75,83,64,63,32,66])).
% 0.56/0.85 cnf(286,plain,
% 0.56/0.85 (P1(x2861,x2862,x2862)),
% 0.56/0.85 inference(rename_variables,[],[37])).
% 0.56/0.85 cnf(287,plain,
% 0.56/0.85 (P2(x2871,f2(x2872,x2871,a6,a8),x2873,f2(x2874,x2873,a6,a8))),
% 0.56/0.85 inference(rename_variables,[],[51])).
% 0.56/0.85 cnf(288,plain,
% 0.56/0.85 (P1(x2881,x2881,x2882)),
% 0.56/0.85 inference(rename_variables,[],[38])).
% 0.56/0.85 cnf(291,plain,
% 0.56/0.85 (~P2(a12,a11,x2911,x2911)),
% 0.56/0.85 inference(rename_variables,[],[104])).
% 0.56/0.85 cnf(297,plain,
% 0.56/0.85 (P1(x2971,f7(x2971,x2971,x2972,x2972,x2973),x2973)),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,264,287,52,280,57,37,259,263,286,38,255,258,265,288,47,62,60,44,36,243,104,217,79,89,95,97,100,85,82,75,83,64,63,32,66,101,34,91,67,96])).
% 0.56/0.85 cnf(298,plain,
% 0.56/0.85 (P1(x2981,x2981,x2982)),
% 0.56/0.85 inference(rename_variables,[],[38])).
% 0.56/0.85 cnf(306,plain,
% 0.56/0.85 (~P1(a8,a9,f2(f2(a6,x3061,a6,x3061),x3061,f2(a6,x3061,a6,x3061),x3061))),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,264,287,52,280,57,37,259,263,286,38,255,258,265,288,298,47,62,60,44,36,243,104,291,217,79,89,95,97,100,85,82,75,83,64,63,32,66,101,34,91,67,96,99,86,31])).
% 0.56/0.85 cnf(307,plain,
% 0.56/0.85 (E(f2(f2(x3071,x3072,x3071,x3072),x3072,f2(x3071,x3072,x3071,x3072),x3072),x3071)),
% 0.56/0.85 inference(rename_variables,[],[52])).
% 0.56/0.85 cnf(309,plain,
% 0.56/0.85 (E(f2(f2(x3091,x3092,x3091,x3092),x3092,f2(x3091,x3092,x3091,x3092),x3092),x3091)),
% 0.56/0.85 inference(rename_variables,[],[52])).
% 0.56/0.85 cnf(314,plain,
% 0.56/0.85 (~P2(x3141,f2(x3142,x3141,a12,a11),x3143,x3143)),
% 0.56/0.85 inference(scs_inference,[],[58,43,51,264,287,52,280,307,309,57,37,259,263,286,38,255,258,265,288,298,49,47,62,60,44,36,243,103,104,291,217,79,89,95,97,100,85,82,75,83,64,63,32,66,101,34,91,67,96,99,86,31,30,29,3,90])).
% 0.56/0.85 cnf(317,plain,
% 0.56/0.86 (~P2(f2(a12,a11,a6,a8),a11,a11,a11)),
% 0.56/0.86 inference(scs_inference,[],[58,43,51,264,287,52,280,307,309,57,37,259,263,286,38,255,258,265,288,298,49,47,62,60,44,36,243,103,104,291,217,79,89,95,97,100,85,82,75,83,64,63,32,66,101,34,91,67,96,99,86,31,30,29,3,90,87])).
% 0.56/0.86 cnf(351,plain,
% 0.56/0.86 (P1(x3511,f7(x3512,x3512,x3511,x3511,x3513),x3512)),
% 0.56/0.86 inference(rename_variables,[],[254])).
% 0.56/0.86 cnf(358,plain,
% 0.56/0.86 (P2(x3581,x3582,x3581,x3582)),
% 0.56/0.86 inference(rename_variables,[],[42])).
% 0.56/0.86 cnf(359,plain,
% 0.56/0.86 (P1(x3591,x3591,x3592)),
% 0.56/0.86 inference(rename_variables,[],[38])).
% 0.56/0.86 cnf(362,plain,
% 0.56/0.86 (P2(x3621,x3622,x3621,f2(f2(x3622,x3621,x3622,x3621),x3621,f2(x3622,x3621,x3622,x3621),x3621))),
% 0.56/0.86 inference(rename_variables,[],[53])).
% 0.56/0.86 cnf(366,plain,
% 0.56/0.86 (P2(x3661,x3662,x3661,x3662)),
% 0.56/0.86 inference(rename_variables,[],[42])).
% 0.56/0.86 cnf(367,plain,
% 0.56/0.86 (P1(x3671,f7(x3672,x3672,x3671,x3671,x3673),x3672)),
% 0.56/0.86 inference(rename_variables,[],[254])).
% 0.56/0.86 cnf(372,plain,
% 0.56/0.86 (P1(x3721,f7(x3722,x3722,x3721,x3721,x3723),x3722)),
% 0.56/0.86 inference(rename_variables,[],[254])).
% 0.56/0.86 cnf(373,plain,
% 0.56/0.86 (P1(x3731,x3731,x3732)),
% 0.56/0.86 inference(rename_variables,[],[38])).
% 0.56/0.86 cnf(379,plain,
% 0.56/0.86 (P1(x3791,x3791,x3792)),
% 0.56/0.86 inference(rename_variables,[],[38])).
% 0.56/0.86 cnf(380,plain,
% 0.56/0.86 (P2(x3801,x3802,x3802,x3801)),
% 0.56/0.86 inference(rename_variables,[],[41])).
% 0.56/0.86 cnf(381,plain,
% 0.56/0.86 (P2(x3811,x3812,x3811,x3812)),
% 0.56/0.86 inference(rename_variables,[],[42])).
% 0.56/0.86 cnf(392,plain,
% 0.56/0.86 (P1(x3921,x3922,x3922)),
% 0.56/0.86 inference(rename_variables,[],[37])).
% 0.56/0.86 cnf(395,plain,
% 0.56/0.86 (P1(x3951,x3952,x3952)),
% 0.56/0.86 inference(rename_variables,[],[37])).
% 0.56/0.86 cnf(399,plain,
% 0.56/0.86 (~P2(x3991,x3991,x3992,f2(x3993,x3992,a12,a11))),
% 0.56/0.86 inference(scs_inference,[],[36,56,41,380,42,358,366,53,362,55,38,359,373,61,37,392,62,39,254,351,367,297,275,273,314,281,98,70,85,77,100,83,92,63,66,71,101,88,82,64,79,99,97,84,90])).
% 0.56/0.86 cnf(401,plain,
% 0.56/0.86 (P2(x4011,x4012,x4012,x4011)),
% 0.56/0.86 inference(rename_variables,[],[41])).
% 0.56/0.86 cnf(404,plain,
% 0.56/0.86 (E(x4041,f2(x4042,x4041,x4043,x4043))),
% 0.56/0.86 inference(rename_variables,[],[103])).
% 0.56/0.86 cnf(412,plain,
% 0.56/0.86 (E(x4121,f2(x4122,x4121,x4123,x4123))),
% 0.56/0.86 inference(rename_variables,[],[103])).
% 0.56/0.86 cnf(413,plain,
% 0.56/0.86 (~P2(a11,f7(a11,a11,f2(a12,a11,a6,a8),f2(a12,a11,a6,a8),a11),f7(a11,a11,f2(a12,a11,a6,a8),f2(a12,a11,a6,a8),a11),f2(a12,a11,a6,a8))),
% 0.56/0.86 inference(scs_inference,[],[36,56,41,380,401,42,358,366,103,404,53,362,55,38,359,373,61,37,392,395,62,39,254,351,367,372,297,275,273,314,281,98,70,85,77,100,83,92,63,66,71,101,88,82,64,79,99,97,84,90,32,67,86,30,91])).
% 0.56/0.86 cnf(414,plain,
% 0.56/0.86 (P2(x4141,x4142,x4142,x4141)),
% 0.56/0.86 inference(rename_variables,[],[41])).
% 0.56/0.86 cnf(419,plain,
% 0.56/0.86 (E(f2(f2(x4191,x4192,x4191,x4192),x4192,f2(x4191,x4192,x4191,x4192),x4192),x4191)),
% 0.56/0.86 inference(rename_variables,[],[52])).
% 0.56/0.86 cnf(421,plain,
% 0.56/0.86 (E(x4211,f2(x4212,x4211,x4213,x4213))),
% 0.56/0.86 inference(rename_variables,[],[103])).
% 0.56/0.86 cnf(423,plain,
% 0.56/0.86 (E(x4231,f2(x4232,x4231,x4233,x4233))),
% 0.56/0.86 inference(rename_variables,[],[103])).
% 0.56/0.86 cnf(427,plain,
% 0.56/0.86 (E(x4271,f2(x4272,x4271,x4273,x4273))),
% 0.56/0.86 inference(rename_variables,[],[103])).
% 0.56/0.86 cnf(429,plain,
% 0.56/0.86 (E(x4291,f2(x4292,x4291,x4293,x4293))),
% 0.56/0.86 inference(rename_variables,[],[103])).
% 0.56/0.86 cnf(435,plain,
% 0.56/0.86 (E(a1,a10)+~P2(a10,a11,a10,a11)),
% 0.56/0.86 inference(scs_inference,[],[36,56,41,380,401,414,42,358,366,381,103,404,412,421,423,427,429,53,362,52,419,40,55,38,359,373,379,61,37,392,395,62,39,254,351,367,372,297,275,273,314,281,269,98,70,85,77,100,83,92,63,66,71,101,88,82,64,79,99,97,84,90,32,67,86,30,91,87,3,33,65,34,31,29,2,35,94])).
% 0.56/0.86 cnf(456,plain,
% 0.56/0.86 (P2(x4561,x4562,x4561,x4562)),
% 0.56/0.86 inference(rename_variables,[],[42])).
% 0.56/0.86 cnf(460,plain,
% 0.56/0.86 (P2(x4601,x4601,x4602,x4602)),
% 0.56/0.86 inference(rename_variables,[],[43])).
% 0.56/0.86 cnf(462,plain,
% 0.56/0.86 (P1(x4621,x4621,x4622)),
% 0.56/0.86 inference(rename_variables,[],[38])).
% 0.56/0.86 cnf(469,plain,
% 0.56/0.86 (P1(x4691,x4692,f2(x4691,x4692,x4693,x4694))),
% 0.56/0.86 inference(rename_variables,[],[47])).
% 0.56/0.86 cnf(470,plain,
% 0.56/0.86 (~P1(a8,a9,f2(f2(a6,x4701,a6,x4701),x4701,f2(a6,x4701,a6,x4701),x4701))),
% 0.56/0.86 inference(rename_variables,[],[306])).
% 0.56/0.86 cnf(473,plain,
% 0.56/0.86 (P1(x4731,x4731,x4732)),
% 0.56/0.86 inference(rename_variables,[],[38])).
% 0.56/0.86 cnf(480,plain,
% 0.56/0.86 (P1(x4801,x4802,f2(x4801,x4802,x4803,x4804))),
% 0.56/0.86 inference(rename_variables,[],[47])).
% 0.56/0.86 cnf(492,plain,
% 0.56/0.86 (P2(x4921,x4922,x4922,x4921)),
% 0.56/0.86 inference(rename_variables,[],[41])).
% 0.56/0.86 cnf(506,plain,
% 0.56/0.86 (P2(x5061,x5061,x5062,x5062)),
% 0.56/0.86 inference(rename_variables,[],[43])).
% 0.56/0.86 cnf(508,plain,
% 0.56/0.86 (P1(x5081,x5082,f2(x5081,x5082,x5083,x5084))),
% 0.56/0.86 inference(rename_variables,[],[47])).
% 0.56/0.86 cnf(515,plain,
% 0.56/0.86 (P1(x5151,x5152,f2(x5151,x5152,x5153,x5154))),
% 0.56/0.86 inference(rename_variables,[],[47])).
% 0.56/0.86 cnf(516,plain,
% 0.56/0.86 (~P1(a8,a9,f2(f2(a6,x5161,a6,x5161),x5161,f2(a6,x5161,a6,x5161),x5161))),
% 0.56/0.86 inference(rename_variables,[],[306])).
% 0.56/0.86 cnf(528,plain,
% 0.56/0.86 (P2(x5281,x5282,x5282,x5281)),
% 0.56/0.86 inference(rename_variables,[],[41])).
% 0.56/0.86 cnf(529,plain,
% 0.56/0.86 (~P2(x5291,x5291,x5292,f2(x5293,x5292,a12,a11))),
% 0.56/0.86 inference(rename_variables,[],[399])).
% 0.56/0.86 cnf(533,plain,
% 0.56/0.86 ($false),
% 0.56/0.86 inference(scs_inference,[],[36,43,460,506,57,41,492,528,42,456,103,51,40,38,462,473,53,47,469,480,508,515,37,61,62,399,529,317,413,306,470,516,261,275,281,435,85,100,78,83,70,66,101,72,88,82,77,84,90,63,71,64,86,79,32,67,3,87,65,91,31,30,29,33,34,2]),
% 0.56/0.86 ['proof']).
% 0.56/0.86 % SZS output end Proof
% 0.56/0.86 % Total time :0.220000s
%------------------------------------------------------------------------------