TSTP Solution File: GEO034-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO034-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n003.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 22:42:33 EDT 2023
% Result : Unsatisfiable 0.59s 0.97s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO034-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:11:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 0.59/0.95 %-------------------------------------------
% 0.59/0.95 % File :CSE---1.6
% 0.59/0.95 % Problem :theBenchmark
% 0.59/0.95 % Transform :cnf
% 0.59/0.95 % Format :tptp:raw
% 0.59/0.95 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.95
% 0.59/0.95 % Result :Theorem 0.310000s
% 0.59/0.95 % Output :CNFRefutation 0.310000s
% 0.59/0.95 %-------------------------------------------
% 0.59/0.96 %--------------------------------------------------------------------------
% 0.59/0.96 % File : GEO034-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.59/0.96 % Domain : Geometry
% 0.59/0.96 % Problem : Corollary to the first inner five-segment theorem
% 0.59/0.96 % Version : [Qua89] axioms : Augmented.
% 0.59/0.96 % English :
% 0.59/0.96
% 0.59/0.96 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.59/0.96 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.59/0.96 % Source : [Qua89]
% 0.59/0.96 % Names : D15 [Qua89]
% 0.59/0.96
% 0.59/0.96 % Status : Unsatisfiable
% 0.59/0.96 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.32 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.36 v6.0.0, 0.30 v5.5.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0, 0.31 v4.0.1, 0.45 v4.0.0, 0.36 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.25 v3.3.0, 0.36 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.50 v2.6.0, 0.56 v2.5.0, 0.45 v2.4.0, 0.62 v2.3.0, 0.38 v2.2.1, 0.43 v2.2.0, 0.20 v2.1.0, 0.50 v2.0.0
% 0.59/0.96 % Syntax : Number of clauses : 72 ( 27 unt; 15 nHn; 53 RR)
% 0.59/0.96 % Number of literals : 186 ( 40 equ; 105 neg)
% 0.59/0.96 % Maximal clause size : 8 ( 2 avg)
% 0.59/0.96 % Maximal term depth : 3 ( 1 avg)
% 0.59/0.96 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.59/0.96 % Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% 0.59/0.96 % Number of variables : 240 ( 13 sgn)
% 0.59/0.96 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.59/0.96
% 0.59/0.96 % Comments :
% 0.59/0.96 % Bugfixes : v1.2.1 - Clause d12 fixed.
% 0.59/0.96 %--------------------------------------------------------------------------
% 0.59/0.96 %----Include Tarski geometry axioms
% 0.59/0.96 include('Axioms/GEO002-0.ax').
% 0.59/0.96 %----Include definition of reflection
% 0.59/0.96 include('Axioms/GEO002-2.ax').
% 0.59/0.96 %--------------------------------------------------------------------------
% 0.59/0.96 cnf(d1,axiom,
% 0.59/0.96 equidistant(U,V,U,V) ).
% 0.59/0.96
% 0.59/0.96 cnf(d2,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | equidistant(W,X,U,V) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d3,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | equidistant(V,U,W,X) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d4_1,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | equidistant(U,V,X,W) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d4_2,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | equidistant(V,U,X,W) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d4_3,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | equidistant(W,X,V,U) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d4_4,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | equidistant(X,W,U,V) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d4_5,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | equidistant(X,W,V,U) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d5,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,W,X)
% 0.59/0.96 | ~ equidistant(W,X,Y,Z)
% 0.59/0.96 | equidistant(U,V,Y,Z) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(e1,axiom,
% 0.59/0.96 V = extension(U,V,W,W) ).
% 0.59/0.96
% 0.59/0.96 cnf(b0,axiom,
% 0.59/0.96 ( Y != extension(U,V,W,X)
% 0.59/0.96 | between(U,V,Y) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(r2_1,axiom,
% 0.59/0.96 between(U,V,reflection(U,V)) ).
% 0.59/0.96
% 0.59/0.96 cnf(r2_2,axiom,
% 0.59/0.96 equidistant(V,reflection(U,V),U,V) ).
% 0.59/0.96
% 0.59/0.96 cnf(r3_1,axiom,
% 0.59/0.96 ( U != V
% 0.59/0.96 | V = reflection(U,V) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(r3_2,axiom,
% 0.59/0.96 U = reflection(U,U) ).
% 0.59/0.96
% 0.59/0.96 cnf(r4,axiom,
% 0.59/0.96 ( V != reflection(U,V)
% 0.59/0.96 | U = V ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d7,axiom,
% 0.59/0.96 equidistant(U,U,V,V) ).
% 0.59/0.96
% 0.59/0.96 cnf(d8,axiom,
% 0.59/0.96 ( ~ equidistant(U,V,U1,V1)
% 0.59/0.96 | ~ equidistant(V,W,V1,W1)
% 0.59/0.96 | ~ between(U,V,W)
% 0.59/0.96 | ~ between(U1,V1,W1)
% 0.59/0.96 | equidistant(U,W,U1,W1) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d9,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(U,V,X)
% 0.59/0.96 | ~ equidistant(V,W,V,X)
% 0.59/0.96 | U = V
% 0.59/0.96 | W = X ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d10_1,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | U = V
% 0.59/0.96 | W = extension(U,V,V,W) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d10_2,axiom,
% 0.59/0.96 ( ~ equidistant(W,X,Y,Z)
% 0.59/0.96 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.59/0.96 | U = V ) ).
% 0.59/0.96
% 0.59/0.96 cnf(d10_3,axiom,
% 0.59/0.96 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.59/0.96 | U = V ) ).
% 0.59/0.96
% 0.59/0.96 cnf(r5,axiom,
% 0.59/0.96 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.59/0.96
% 0.59/0.96 cnf(r6,axiom,
% 0.59/0.96 U = reflection(reflection(U,V),V) ).
% 0.59/0.96
% 0.59/0.96 cnf(t3,axiom,
% 0.59/0.96 between(U,V,V) ).
% 0.59/0.96
% 0.59/0.96 cnf(b1,axiom,
% 0.59/0.96 ( ~ between(U,W,X)
% 0.59/0.96 | U != X
% 0.59/0.96 | between(V,W,X) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(t1,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | between(W,V,U) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(t2,axiom,
% 0.59/0.96 between(U,U,V) ).
% 0.59/0.96
% 0.59/0.96 cnf(b2,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(V,U,W)
% 0.59/0.96 | U = V ) ).
% 0.59/0.96
% 0.59/0.96 cnf(b3,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(U,W,V)
% 0.59/0.96 | V = W ) ).
% 0.59/0.96
% 0.59/0.96 cnf(t6_1,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(V,U,W)
% 0.59/0.96 | U = V
% 0.59/0.96 | V = W ) ).
% 0.59/0.96
% 0.59/0.96 cnf(t6_2,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(U,W,V)
% 0.59/0.96 | U = V
% 0.59/0.96 | V = W ) ).
% 0.59/0.96
% 0.59/0.96 cnf(b4,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(V,W,X)
% 0.59/0.96 | between(U,V,W) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(b5,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(U,W,X)
% 0.59/0.96 | between(V,W,X) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(b6,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(V,W,X)
% 0.59/0.96 | between(U,W,X)
% 0.59/0.96 | V = W ) ).
% 0.59/0.96
% 0.59/0.96 cnf(b7,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(V,W,X)
% 0.59/0.96 | between(U,V,X)
% 0.59/0.96 | V = W ) ).
% 0.59/0.96
% 0.59/0.96 cnf(b8,axiom,
% 0.59/0.96 ( ~ between(U,V,X)
% 0.59/0.96 | ~ between(V,W,X)
% 0.59/0.96 | between(U,W,X) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(b9,axiom,
% 0.59/0.96 ( ~ between(U,V,W)
% 0.59/0.96 | ~ between(U,W,X)
% 0.59/0.96 | between(U,V,X) ) ).
% 0.59/0.96
% 0.59/0.96 cnf(e2_1,axiom,
% 0.59/0.96 lower_dimension_point_1 != lower_dimension_point_2 ).
% 0.59/0.96
% 0.59/0.97 cnf(e2_2,axiom,
% 0.59/0.97 lower_dimension_point_2 != lower_dimension_point_3 ).
% 0.59/0.97
% 0.59/0.97 cnf(e2_3,axiom,
% 0.59/0.97 lower_dimension_point_1 != lower_dimension_point_3 ).
% 0.59/0.97
% 0.59/0.97 cnf(e3_1,axiom,
% 0.59/0.97 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 0.59/0.97
% 0.59/0.97 cnf(e3_2,axiom,
% 0.59/0.97 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)) ).
% 0.59/0.97
% 0.59/0.97 cnf(e3_3,axiom,
% 0.59/0.97 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 0.59/0.97
% 0.59/0.97 cnf(b10,axiom,
% 0.59/0.97 ( ~ between(U,V,W)
% 0.59/0.97 | ~ between(U1,V1,W)
% 0.59/0.97 | ~ between(U,X,U1)
% 0.59/0.97 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 0.59/0.97 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 0.59/0.97
% 0.59/0.97 cnf(d11,axiom,
% 0.59/0.97 ( ~ between(U,V,W)
% 0.59/0.97 | ~ equidistant(U,W,U,W1)
% 0.59/0.97 | ~ equidistant(V,W,V,W1)
% 0.59/0.97 | U = V
% 0.59/0.97 | W = W1 ) ).
% 0.59/0.97
% 0.59/0.97 cnf(d12,axiom,
% 0.59/0.97 ( ~ equidistant(U,V,U1,V1)
% 0.59/0.97 | ~ equidistant(U,W,U1,W1)
% 0.59/0.97 | ~ equidistant(U,X,U1,X1)
% 0.59/0.97 | ~ equidistant(W,X,W1,X1)
% 0.59/0.97 | ~ between(U,V,W)
% 0.59/0.97 | ~ between(U1,V1,W1)
% 0.59/0.97 | equidistant(V,X,V1,X1) ) ).
% 0.59/0.97
% 0.59/0.97 cnf(d13,axiom,
% 0.59/0.97 ( ~ between(U,V,W)
% 0.59/0.97 | ~ between(U1,V1,W1)
% 0.59/0.97 | ~ equidistant(U,V,U1,V1)
% 0.59/0.97 | ~ equidistant(U,W,U1,W1)
% 0.59/0.97 | equidistant(V,W,V1,W1) ) ).
% 0.59/0.97
% 0.59/0.97 cnf(d14,axiom,
% 0.59/0.97 ( ~ equidistant(U,V,U1,V1)
% 0.59/0.97 | ~ equidistant(V,W,V1,W1)
% 0.59/0.97 | ~ equidistant(U,X,U1,X1)
% 0.59/0.97 | ~ equidistant(W,X,W1,X1)
% 0.59/0.97 | ~ between(U,V,W)
% 0.59/0.97 | ~ between(U1,V1,W1)
% 0.59/0.97 | equidistant(V,X,V1,X1) ) ).
% 0.59/0.97
% 0.59/0.97 cnf(v_between_u_and_w,hypothesis,
% 0.59/0.97 between(u,v,w) ).
% 0.59/0.97
% 0.59/0.97 cnf(u_to_v_equals_u_to_x,hypothesis,
% 0.59/0.97 equidistant(u,v,u,x) ).
% 0.59/0.97
% 0.59/0.97 cnf(w_to_v_equals_w_to_x,hypothesis,
% 0.59/0.97 equidistant(w,v,w,x) ).
% 0.59/0.97
% 0.59/0.97 cnf(prove_v_is_x,negated_conjecture,
% 0.59/0.97 v != x ).
% 0.59/0.97
% 0.59/0.97 %--------------------------------------------------------------------------
% 0.59/0.97 %-------------------------------------------
% 0.59/0.97 % Proof found
% 0.59/0.97 % SZS status Theorem for theBenchmark
% 0.59/0.97 % SZS output start Proof
% 0.59/0.97 %ClaNum:105(EqnAxiom:35)
% 0.59/0.97 %VarNum:614(SingletonVarNum:221)
% 0.59/0.97 %MaxLitNum:8
% 0.59/0.97 %MaxfuncDepth:2
% 0.59/0.97 %SharedTerms:17
% 0.59/0.97 %goalClause: 57
% 0.59/0.97 %singleGoalClaCount:1
% 0.59/0.97 [36]P1(a1,a10,a11)
% 0.59/0.97 [39]P2(a1,a10,a1,a12)
% 0.59/0.97 [40]P2(a11,a10,a11,a12)
% 0.59/0.97 [54]~E(a8,a6)
% 0.59/0.97 [55]~E(a9,a6)
% 0.59/0.97 [56]~E(a9,a8)
% 0.59/0.97 [57]~E(a12,a10)
% 0.59/0.97 [58]~P1(a6,a8,a9)
% 0.59/0.97 [59]~P1(a8,a9,a6)
% 0.59/0.97 [60]~P1(a9,a6,a8)
% 0.59/0.97 [37]P1(x371,x372,x372)
% 0.59/0.97 [38]P1(x381,x381,x382)
% 0.59/0.97 [41]P2(x411,x412,x412,x411)
% 0.59/0.97 [42]P2(x421,x422,x421,x422)
% 0.59/0.97 [43]P2(x431,x431,x432,x432)
% 0.59/0.97 [61]~E(f2(x611,x612,a6,a8),x612)
% 0.59/0.97 [52]E(f2(f2(x521,x522,x521,x522),x522,f2(x521,x522,x521,x522),x522),x521)
% 0.59/0.97 [53]P2(x531,x532,x531,f2(f2(x532,x531,x532,x531),x531,f2(x532,x531,x532,x531),x531))
% 0.59/0.97 [44]E(f2(x441,x442,x443,x443),x442)
% 0.59/0.97 [47]P1(x471,x472,f2(x471,x472,x473,x474))
% 0.59/0.97 [49]P2(x491,f2(x492,x491,x493,x494),x493,x494)
% 0.59/0.97 [51]P2(x511,f2(x512,x511,a6,a8),x513,f2(x514,x513,a6,a8))
% 0.59/0.97 [62]~P1(x621,x622,x621)+E(x621,x622)
% 0.59/0.97 [74]~E(x741,x742)+E(f2(x741,x742,x741,x742),x742)
% 0.59/0.97 [77]E(x771,x772)+~E(f2(x772,x771,x772,x771),x771)
% 0.59/0.97 [79]E(x791,x792)+E(f2(x791,x792,x791,x792),f2(x791,x792,x792,x791))
% 0.59/0.97 [63]~P1(x633,x632,x631)+P1(x631,x632,x633)
% 0.59/0.97 [76]~P2(x761,x762,x763,x763)+E(x761,x762)
% 0.59/0.97 [81]~P2(x814,x813,x812,x811)+P2(x811,x812,x813,x814)
% 0.59/0.97 [82]~P2(x823,x824,x822,x821)+P2(x821,x822,x823,x824)
% 0.59/0.97 [83]~P2(x834,x833,x831,x832)+P2(x831,x832,x833,x834)
% 0.59/0.97 [84]~P2(x843,x844,x841,x842)+P2(x841,x842,x843,x844)
% 0.59/0.97 [85]~P2(x852,x851,x854,x853)+P2(x851,x852,x853,x854)
% 0.59/0.97 [86]~P2(x862,x861,x863,x864)+P2(x861,x862,x863,x864)
% 0.59/0.97 [87]~P2(x871,x872,x874,x873)+P2(x871,x872,x873,x874)
% 0.59/0.97 [78]P1(x781,x782,x783)+~E(x783,f2(x781,x782,x784,x785))
% 0.59/0.97 [65]~P1(x653,x651,x652)+E(x651,x652)+~P1(x653,x652,x651)
% 0.59/0.97 [66]~P1(x661,x662,x663)+E(x661,x662)+~P1(x662,x661,x663)
% 0.59/0.97 [75]~P1(x751,x752,x753)+E(x751,x752)+E(f2(x751,x752,x752,x753),x753)
% 0.59/0.97 [64]~P1(x644,x642,x643)+P1(x641,x642,x643)+~E(x644,x643)
% 0.59/0.97 [69]~P1(x694,x691,x692)+P1(x691,x692,x693)+~P1(x694,x692,x693)
% 0.59/0.97 [70]~P1(x701,x704,x703)+P1(x701,x702,x703)+~P1(x704,x702,x703)
% 0.59/0.97 [71]~P1(x711,x712,x714)+P1(x711,x712,x713)+~P1(x711,x714,x713)
% 0.59/0.97 [98]~P1(x985,x981,x984)+~P1(x982,x983,x984)+P1(x981,f7(x982,x983,x984,x981,x985),x982)
% 0.59/0.97 [99]~P1(x995,x994,x993)+~P1(x992,x991,x993)+P1(x991,f7(x992,x991,x993,x994,x995),x995)
% 0.59/0.97 [90]~P2(x905,x906,x901,x902)+P2(x901,x902,x903,x904)+~P2(x905,x906,x903,x904)
% 0.59/0.97 [91]~P2(x911,x912,x915,x916)+P2(x911,x912,x913,x914)+~P2(x915,x916,x913,x914)
% 0.59/0.97 [89]~P2(x893,x894,x895,x896)+E(x891,x892)+E(f2(x891,x892,x893,x894),f2(x891,x892,x895,x896))
% 0.59/0.97 [72]~P1(x721,x722,x724)+~P1(x723,x721,x722)+E(x721,x722)+P1(x723,x722,x724)
% 0.59/0.97 [73]~P1(x731,x732,x734)+~P1(x733,x731,x732)+E(x731,x732)+P1(x733,x731,x734)
% 0.59/0.97 [100]~P1(x1004,x1002,x1003)+~P1(x1001,x1002,x1005)+E(x1001,x1002)+P1(x1001,x1003,f3(x1001,x1004,x1002,x1003,x1005))
% 0.59/0.97 [101]~P1(x1013,x1012,x1014)+~P1(x1011,x1012,x1015)+E(x1011,x1012)+P1(x1011,x1013,f4(x1011,x1013,x1012,x1014,x1015))
% 0.59/0.97 [102]~P1(x1023,x1022,x1024)+~P1(x1021,x1022,x1025)+E(x1021,x1022)+P1(f4(x1021,x1023,x1022,x1024,x1025),x1025,f3(x1021,x1023,x1022,x1024,x1025))
% 0.59/0.97 [80]~P1(x803,x804,x802)+~P1(x803,x804,x801)+~P2(x804,x801,x804,x802)+E(x801,x802)+E(x803,x804)
% 0.59/0.97 [88]~P1(x883,x884,x881)+~P2(x884,x881,x884,x882)+~P2(x883,x881,x883,x882)+E(x881,x882)+E(x883,x884)
% 0.59/0.97 [92]~P2(x926,x922,x925,x924)+~P2(x926,x921,x925,x923)+P2(x921,x922,x923,x924)+~P1(x925,x923,x924)+~P1(x926,x921,x922)
% 0.59/0.97 [93]~P2(x936,x932,x935,x934)+~P2(x931,x936,x933,x935)+P2(x931,x932,x933,x934)+~P1(x933,x935,x934)+~P1(x931,x936,x932)
% 0.59/0.97 [103]~P1(x1033,x1034,x1035)+~P1(x1032,x1033,x1035)+~P2(x1032,x1035,x1032,x1036)+~P2(x1032,x1033,x1032,x1031)+P1(x1031,f5(x1032,x1033,x1031,x1034,x1035,x1036),x1036)
% 0.59/0.97 [104]~P1(x1043,x1042,x1045)+~P1(x1041,x1043,x1045)+~P2(x1041,x1045,x1041,x1046)+~P2(x1041,x1043,x1041,x1044)+P2(x1041,x1042,x1041,f5(x1041,x1043,x1044,x1042,x1045,x1046))
% 0.59/0.97 [105]~P1(x1054,x1052,x1055)+~P1(x1053,x1051,x1054)+~P1(x1053,x1056,x1055)+P1(x1051,f7(x1052,f7(x1053,x1051,x1054,x1052,x1055),x1053,x1056,x1055),x1055)+P1(x1056,f7(x1052,f7(x1053,x1051,x1054,x1052,x1055),x1053,x1056,x1055),x1052)
% 0.59/0.97 [94]P1(x945,x943,x944)+P1(x944,x945,x943)+~P2(x943,x941,x943,x942)+~P2(x945,x941,x945,x942)+~P2(x944,x941,x944,x942)+E(x941,x942)+P1(x943,x944,x945)
% 0.59/0.97 [95]~P2(x958,x952,x956,x954)+~P2(x951,x958,x953,x956)+~P2(x957,x952,x955,x954)+~P2(x957,x951,x955,x953)+P2(x951,x952,x953,x954)+~P1(x955,x953,x956)+~P1(x957,x951,x958)
% 0.59/0.97 [96]~P2(x968,x962,x966,x964)+~P2(x967,x962,x965,x964)+~P2(x967,x968,x965,x966)+~P2(x967,x961,x965,x963)+P2(x961,x962,x963,x964)+~P1(x965,x963,x966)+~P1(x967,x961,x968)
% 0.59/0.97 [97]~P1(x971,x972,x973)+~P2(x972,x974,x978,x976)+~P2(x972,x973,x978,x975)+~P2(x971,x974,x977,x976)+~P2(x971,x972,x977,x978)+E(x971,x972)+P2(x973,x974,x975,x976)+~P1(x977,x978,x975)
% 0.59/0.97 %EqnAxiom
% 0.59/0.97 [1]E(x11,x11)
% 0.59/0.97 [2]E(x22,x21)+~E(x21,x22)
% 0.59/0.97 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.59/0.97 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.59/0.97 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.59/0.97 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.59/0.97 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.59/0.97 [8]~E(x81,x82)+E(f7(x81,x83,x84,x85,x86),f7(x82,x83,x84,x85,x86))
% 0.59/0.97 [9]~E(x91,x92)+E(f7(x93,x91,x94,x95,x96),f7(x93,x92,x94,x95,x96))
% 0.59/0.97 [10]~E(x101,x102)+E(f7(x103,x104,x101,x105,x106),f7(x103,x104,x102,x105,x106))
% 0.59/0.97 [11]~E(x111,x112)+E(f7(x113,x114,x115,x111,x116),f7(x113,x114,x115,x112,x116))
% 0.59/0.97 [12]~E(x121,x122)+E(f7(x123,x124,x125,x126,x121),f7(x123,x124,x125,x126,x122))
% 0.59/0.97 [13]~E(x131,x132)+E(f3(x131,x133,x134,x135,x136),f3(x132,x133,x134,x135,x136))
% 0.59/0.97 [14]~E(x141,x142)+E(f3(x143,x141,x144,x145,x146),f3(x143,x142,x144,x145,x146))
% 0.59/0.97 [15]~E(x151,x152)+E(f3(x153,x154,x151,x155,x156),f3(x153,x154,x152,x155,x156))
% 0.59/0.97 [16]~E(x161,x162)+E(f3(x163,x164,x165,x161,x166),f3(x163,x164,x165,x162,x166))
% 0.59/0.97 [17]~E(x171,x172)+E(f3(x173,x174,x175,x176,x171),f3(x173,x174,x175,x176,x172))
% 0.59/0.97 [18]~E(x181,x182)+E(f4(x181,x183,x184,x185,x186),f4(x182,x183,x184,x185,x186))
% 0.59/0.97 [19]~E(x191,x192)+E(f4(x193,x191,x194,x195,x196),f4(x193,x192,x194,x195,x196))
% 0.59/0.97 [20]~E(x201,x202)+E(f4(x203,x204,x201,x205,x206),f4(x203,x204,x202,x205,x206))
% 0.59/0.97 [21]~E(x211,x212)+E(f4(x213,x214,x215,x211,x216),f4(x213,x214,x215,x212,x216))
% 0.59/0.97 [22]~E(x221,x222)+E(f4(x223,x224,x225,x226,x221),f4(x223,x224,x225,x226,x222))
% 0.59/0.97 [23]~E(x231,x232)+E(f5(x231,x233,x234,x235,x236,x237),f5(x232,x233,x234,x235,x236,x237))
% 0.59/0.97 [24]~E(x241,x242)+E(f5(x243,x241,x244,x245,x246,x247),f5(x243,x242,x244,x245,x246,x247))
% 0.59/0.97 [25]~E(x251,x252)+E(f5(x253,x254,x251,x255,x256,x257),f5(x253,x254,x252,x255,x256,x257))
% 0.59/0.97 [26]~E(x261,x262)+E(f5(x263,x264,x265,x261,x266,x267),f5(x263,x264,x265,x262,x266,x267))
% 0.59/0.97 [27]~E(x271,x272)+E(f5(x273,x274,x275,x276,x271,x277),f5(x273,x274,x275,x276,x272,x277))
% 0.59/0.97 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x287,x281),f5(x283,x284,x285,x286,x287,x282))
% 0.59/0.97 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.59/0.97 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.59/0.97 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.59/0.97 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.59/0.97 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.59/0.97 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.59/0.97 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.59/0.97
% 0.59/0.97 %-------------------------------------------
% 0.59/0.97 cnf(107,plain,
% 0.59/0.97 (~P2(a12,a10,x1071,x1071)),
% 0.59/0.97 inference(scs_inference,[],[57,44,2,76])).
% 0.59/0.97 cnf(114,plain,
% 0.59/0.97 (E(f2(x1141,x1142,x1143,x1143),x1142)),
% 0.59/0.97 inference(rename_variables,[],[44])).
% 0.59/0.97 cnf(117,plain,
% 0.59/0.97 (~E(f2(x1171,x1172,a6,a8),x1172)),
% 0.59/0.97 inference(rename_variables,[],[61])).
% 0.59/0.97 cnf(120,plain,
% 0.59/0.97 (P2(x1201,x1202,x1201,x1202)),
% 0.59/0.97 inference(rename_variables,[],[42])).
% 0.59/0.97 cnf(122,plain,
% 0.59/0.97 (P2(x1221,x1222,x1221,x1222)),
% 0.59/0.97 inference(rename_variables,[],[42])).
% 0.59/0.97 cnf(124,plain,
% 0.59/0.97 (P2(x1241,f2(x1242,x1241,x1243,x1244),x1243,x1244)),
% 0.59/0.97 inference(rename_variables,[],[49])).
% 0.59/0.97 cnf(126,plain,
% 0.59/0.97 (P2(x1261,x1262,x1262,x1261)),
% 0.59/0.97 inference(rename_variables,[],[41])).
% 0.59/0.97 cnf(128,plain,
% 0.59/0.97 (P1(x1281,x1282,x1282)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(130,plain,
% 0.59/0.97 (P1(x1301,x1302,f2(x1301,x1302,x1303,x1304))),
% 0.59/0.97 inference(rename_variables,[],[47])).
% 0.59/0.97 cnf(132,plain,
% 0.59/0.97 (P1(x1321,x1322,f2(x1321,x1322,x1323,x1324))),
% 0.59/0.97 inference(rename_variables,[],[47])).
% 0.59/0.97 cnf(134,plain,
% 0.59/0.97 (E(f2(x1341,x1342,x1343,x1343),x1342)),
% 0.59/0.97 inference(rename_variables,[],[44])).
% 0.59/0.97 cnf(136,plain,
% 0.59/0.97 (P2(x1361,x1362,x1362,x1361)),
% 0.59/0.97 inference(rename_variables,[],[41])).
% 0.59/0.97 cnf(140,plain,
% 0.59/0.97 (P2(x1401,x1402,x1402,x1401)),
% 0.59/0.97 inference(rename_variables,[],[41])).
% 0.59/0.97 cnf(143,plain,
% 0.59/0.97 (P1(x1431,x1432,x1432)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(146,plain,
% 0.59/0.97 (P1(x1461,x1461,x1462)),
% 0.59/0.97 inference(rename_variables,[],[38])).
% 0.59/0.97 cnf(148,plain,
% 0.59/0.97 (~P2(a12,a12,a10,a12)),
% 0.59/0.97 inference(scs_inference,[],[57,41,126,136,140,42,120,37,128,143,38,146,39,54,58,49,124,47,130,44,114,61,2,76,63,62,78,74,35,34,33,32,31,30,29,3,91,90,66,65,92])).
% 0.59/0.97 cnf(149,plain,
% 0.59/0.97 (P1(x1491,x1492,x1492)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(150,plain,
% 0.59/0.97 (P1(x1501,x1501,x1502)),
% 0.59/0.97 inference(rename_variables,[],[38])).
% 0.59/0.97 cnf(151,plain,
% 0.59/0.97 (P2(x1511,x1512,x1512,x1511)),
% 0.59/0.97 inference(rename_variables,[],[41])).
% 0.59/0.97 cnf(154,plain,
% 0.59/0.97 (P1(x1541,x1542,x1542)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(156,plain,
% 0.59/0.97 (P2(x1561,x1562,x1561,x1562)),
% 0.59/0.97 inference(rename_variables,[],[42])).
% 0.59/0.97 cnf(202,plain,
% 0.59/0.97 (P1(x2021,x2022,f2(x2021,x2022,x2023,x2024))),
% 0.59/0.97 inference(rename_variables,[],[47])).
% 0.59/0.97 cnf(205,plain,
% 0.59/0.97 (P1(x2051,x2052,x2052)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(212,plain,
% 0.59/0.97 (P1(x2121,x2121,x2122)),
% 0.59/0.97 inference(rename_variables,[],[38])).
% 0.59/0.97 cnf(218,plain,
% 0.59/0.97 (P1(x2181,x2182,x2182)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(222,plain,
% 0.59/0.97 (P1(x2221,x2222,x2222)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(225,plain,
% 0.59/0.97 (P1(x2251,x2252,f2(x2251,x2252,x2253,x2254))),
% 0.59/0.97 inference(rename_variables,[],[47])).
% 0.59/0.97 cnf(226,plain,
% 0.59/0.97 (P1(x2261,x2262,x2262)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(230,plain,
% 0.59/0.97 (~P2(a10,f2(a12,a10,a6,a8),a10,a10)),
% 0.59/0.97 inference(scs_inference,[],[57,41,126,136,140,151,42,120,122,156,43,37,128,143,149,154,205,218,222,226,38,146,150,36,39,40,54,58,49,124,47,130,132,202,225,44,114,134,61,117,53,2,76,63,62,78,74,35,34,33,32,31,30,29,3,91,90,66,65,92,96,87,86,85,84,83,82,81,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,79,71,70,64,99,98,89,100,102,93,80])).
% 0.59/0.97 cnf(232,plain,
% 0.59/0.97 (P1(x2321,x2322,x2322)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(235,plain,
% 0.59/0.97 (P2(x2351,x2351,x2351,f5(x2351,x2351,x2351,x2351,x2351,x2351))),
% 0.59/0.97 inference(scs_inference,[],[57,41,126,136,140,151,42,120,122,156,43,37,128,143,149,154,205,218,222,226,232,38,146,150,36,39,40,54,58,49,124,47,130,132,202,225,44,114,134,61,117,53,2,76,63,62,78,74,35,34,33,32,31,30,29,3,91,90,66,65,92,96,87,86,85,84,83,82,81,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,79,71,70,64,99,98,89,100,102,93,80,104])).
% 0.59/0.97 cnf(238,plain,
% 0.59/0.97 (P1(x2381,x2382,x2382)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(239,plain,
% 0.59/0.97 (P2(x2391,x2392,x2392,x2391)),
% 0.59/0.97 inference(rename_variables,[],[41])).
% 0.59/0.97 cnf(241,plain,
% 0.59/0.97 (P1(x2411,f5(x2411,x2411,x2411,x2411,x2411,x2411),x2411)),
% 0.59/0.97 inference(scs_inference,[],[57,41,126,136,140,151,239,42,120,122,156,43,37,128,143,149,154,205,218,222,226,232,238,38,146,150,36,39,40,54,58,49,124,47,130,132,202,225,44,114,134,61,117,53,2,76,63,62,78,74,35,34,33,32,31,30,29,3,91,90,66,65,92,96,87,86,85,84,83,82,81,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,79,71,70,64,99,98,89,100,102,93,80,104,103])).
% 0.59/0.97 cnf(242,plain,
% 0.59/0.97 (P1(x2421,x2422,x2422)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(244,plain,
% 0.59/0.97 (P1(x2441,x2442,x2442)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(254,plain,
% 0.59/0.97 (P1(x2541,x2542,x2542)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(256,plain,
% 0.59/0.97 (P1(x2561,f7(x2561,f7(x2561,x2561,x2561,x2561,x2561),x2561,x2561,x2561),x2561)),
% 0.59/0.97 inference(scs_inference,[],[57,41,126,136,140,151,239,42,120,122,156,43,37,128,143,149,154,205,218,222,226,232,238,244,254,242,38,146,150,212,36,39,40,54,58,60,49,124,47,130,132,202,225,44,114,134,61,117,53,2,76,63,62,78,74,35,34,33,32,31,30,29,3,91,90,66,65,92,96,87,86,85,84,83,82,81,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,79,71,70,64,99,98,89,100,102,93,80,104,103,69,75,101,105])).
% 0.59/0.97 cnf(279,plain,
% 0.59/0.97 (P1(x2791,x2792,x2792)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(280,plain,
% 0.59/0.97 (P2(x2801,x2802,x2802,x2801)),
% 0.59/0.97 inference(rename_variables,[],[41])).
% 0.59/0.97 cnf(285,plain,
% 0.59/0.97 (E(f7(x2851,f7(x2851,x2851,x2851,x2851,x2851),x2851,x2851,x2851),x2851)),
% 0.59/0.97 inference(scs_inference,[],[51,41,37,279,47,59,256,235,241,230,63,62,78,92,91,66])).
% 0.59/0.97 cnf(287,plain,
% 0.59/0.97 (P1(x2871,x2872,x2872)),
% 0.59/0.97 inference(rename_variables,[],[37])).
% 0.59/0.97 cnf(289,plain,
% 0.59/0.97 (P1(x2891,f7(x2892,x2892,x2891,x2891,x2893),x2892)),
% 0.59/0.97 inference(scs_inference,[],[51,41,37,279,287,38,47,59,256,235,241,230,63,62,78,92,91,66,98])).
% 0.59/0.97 cnf(296,plain,
% 0.59/0.97 (~P2(x2961,x2961,a10,a12)),
% 0.59/0.97 inference(scs_inference,[],[51,41,37,279,287,38,47,59,256,235,241,107,230,148,63,62,78,92,91,66,98,87,84,81])).
% 0.59/0.97 cnf(305,plain,
% 0.59/0.97 (~P2(a10,a10,a10,f2(a12,a10,a6,a8))),
% 0.59/0.97 inference(scs_inference,[],[51,41,280,37,279,287,38,47,59,44,256,235,241,107,230,148,63,62,78,92,91,66,98,87,84,81,74,90,86,83])).
% 0.59/0.97 cnf(308,plain,
% 0.59/0.97 (E(f2(f2(x3081,x3082,x3081,x3082),x3082,f2(x3081,x3082,x3081,x3082),x3082),x3081)),
% 0.59/0.97 inference(rename_variables,[],[52])).
% 0.59/0.97 cnf(310,plain,
% 0.59/0.97 (~P2(f2(f2(a12,x3101,a12,x3101),x3101,f2(a12,x3101,a12,x3101),x3101),a10,x3102,x3102)),
% 0.59/0.98 inference(scs_inference,[],[51,52,308,41,280,37,279,287,38,47,59,44,256,235,241,107,230,148,63,62,78,92,91,66,98,87,84,81,74,90,86,83,64,32])).
% 0.59/0.98 cnf(404,plain,
% 0.59/0.98 (P2(x4041,f2(x4042,x4041,a6,a8),x4043,f2(x4044,x4043,a6,a8))),
% 0.59/0.98 inference(rename_variables,[],[51])).
% 0.59/0.98 cnf(419,plain,
% 0.59/0.98 (P2(x4191,x4192,x4191,x4192)),
% 0.59/0.98 inference(rename_variables,[],[42])).
% 0.59/0.98 cnf(423,plain,
% 0.59/0.98 (~P2(a10,a11,a10,a11)),
% 0.59/0.98 inference(scs_inference,[],[36,51,404,40,42,419,37,39,285,289,310,296,305,91,66,87,81,78,90,86,95])).
% 0.59/0.98 cnf(522,plain,
% 0.59/0.98 ($false),
% 0.59/0.98 inference(scs_inference,[],[423,42]),
% 0.59/0.98 ['proof']).
% 0.59/0.98 % SZS output end Proof
% 0.59/0.98 % Total time :0.310000s
%------------------------------------------------------------------------------