%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO032-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Mon Jun 24 06:03:24 EDT 2024
% Result : Unsatisfiable 0.58s 0.64s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO032-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.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 : Fri Jun 21 08:17:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.54/0.62 %-------------------------------------------
% 0.54/0.62 % File :CSE---1.7
% 0.54/0.62 % Problem :theBenchmark
% 0.54/0.62 % Transform :cnf
% 0.54/0.62 % Format :tptp:raw
% 0.54/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.62
% 0.54/0.62 % Result :Theorem 0.010000s
% 0.54/0.62 % Output :CNFRefutation 0.010000s
% 0.54/0.62 %-------------------------------------------
% 0.54/0.63 %--------------------------------------------------------------------------
% 0.54/0.63 % File : GEO032-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.54/0.63 % Domain : Geometry
% 0.54/0.63 % Problem : Equal difference between pairs of equal length line segments
% 0.54/0.63 % Version : [Qua89] axioms : Augmented.
% 0.54/0.63 % English :
% 0.54/0.63
% 0.54/0.63 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.54/0.63 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.54/0.63 % Source : [Qua89]
% 0.54/0.63 % Names : D13 [Qua89]
% 0.54/0.63
% 0.54/0.63 % Status : Unsatisfiable
% 0.54/0.63 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.11 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.45 v4.0.0, 0.27 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.33 v2.5.0, 0.27 v2.4.0, 0.38 v2.3.0, 0.25 v2.2.1, 0.43 v2.2.0, 0.20 v2.1.0, 0.25 v2.0.0
% 0.54/0.63 % Syntax : Number of clauses : 71 ( 28 unt; 15 nHn; 52 RR)
% 0.54/0.63 % Number of literals : 175 ( 39 equ; 95 neg)
% 0.54/0.63 % Maximal clause size : 8 ( 2 avg)
% 0.54/0.63 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.63 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.54/0.63 % Number of functors : 15 ( 15 usr; 9 con; 0-6 aty)
% 0.54/0.63 % Number of variables : 226 ( 13 sgn)
% 0.54/0.63 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.63
% 0.54/0.63 % Comments :
% 0.54/0.63 % Bugfixes : v1.2.1 - Clause d12 fixed.
% 0.54/0.63 %--------------------------------------------------------------------------
% 0.54/0.63 %----Include Tarski geometry axioms
% 0.54/0.63 include('Axioms/GEO002-0.ax').
% 0.54/0.63 %----Include definition of reflection
% 0.54/0.63 include('Axioms/GEO002-2.ax').
% 0.54/0.63 %--------------------------------------------------------------------------
% 0.54/0.63 cnf(d1,axiom,
% 0.54/0.63 equidistant(U,V,U,V) ).
% 0.54/0.63
% 0.54/0.63 cnf(d2,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | equidistant(W,X,U,V) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d3,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | equidistant(V,U,W,X) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d4_1,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | equidistant(U,V,X,W) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d4_2,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | equidistant(V,U,X,W) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d4_3,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | equidistant(W,X,V,U) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d4_4,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | equidistant(X,W,U,V) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d4_5,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | equidistant(X,W,V,U) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d5,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,W,X)
% 0.54/0.63 | ~ equidistant(W,X,Y,Z)
% 0.54/0.63 | equidistant(U,V,Y,Z) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(e1,axiom,
% 0.54/0.63 V = extension(U,V,W,W) ).
% 0.54/0.63
% 0.54/0.63 cnf(b0,axiom,
% 0.54/0.63 ( Y != extension(U,V,W,X)
% 0.54/0.63 | between(U,V,Y) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(r2_1,axiom,
% 0.54/0.63 between(U,V,reflection(U,V)) ).
% 0.54/0.63
% 0.54/0.63 cnf(r2_2,axiom,
% 0.54/0.63 equidistant(V,reflection(U,V),U,V) ).
% 0.54/0.63
% 0.54/0.63 cnf(r3_1,axiom,
% 0.54/0.63 ( U != V
% 0.54/0.63 | V = reflection(U,V) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(r3_2,axiom,
% 0.54/0.63 U = reflection(U,U) ).
% 0.54/0.63
% 0.54/0.63 cnf(r4,axiom,
% 0.54/0.63 ( V != reflection(U,V)
% 0.54/0.63 | U = V ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d7,axiom,
% 0.54/0.63 equidistant(U,U,V,V) ).
% 0.54/0.63
% 0.54/0.63 cnf(d8,axiom,
% 0.54/0.63 ( ~ equidistant(U,V,U1,V1)
% 0.54/0.63 | ~ equidistant(V,W,V1,W1)
% 0.54/0.63 | ~ between(U,V,W)
% 0.54/0.63 | ~ between(U1,V1,W1)
% 0.54/0.63 | equidistant(U,W,U1,W1) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d9,axiom,
% 0.54/0.63 ( ~ between(U,V,W)
% 0.54/0.63 | ~ between(U,V,X)
% 0.54/0.63 | ~ equidistant(V,W,V,X)
% 0.54/0.63 | U = V
% 0.54/0.63 | W = X ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d10_1,axiom,
% 0.54/0.63 ( ~ between(U,V,W)
% 0.54/0.63 | U = V
% 0.54/0.63 | W = extension(U,V,V,W) ) ).
% 0.54/0.63
% 0.54/0.63 cnf(d10_2,axiom,
% 0.54/0.63 ( ~ equidistant(W,X,Y,Z)
% 0.58/0.63 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.58/0.63 | U = V ) ).
% 0.58/0.63
% 0.58/0.63 cnf(d10_3,axiom,
% 0.58/0.63 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.58/0.63 | U = V ) ).
% 0.58/0.63
% 0.58/0.63 cnf(r5,axiom,
% 0.58/0.63 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.58/0.63
% 0.58/0.63 cnf(r6,axiom,
% 0.58/0.63 U = reflection(reflection(U,V),V) ).
% 0.58/0.63
% 0.58/0.63 cnf(t3,axiom,
% 0.58/0.63 between(U,V,V) ).
% 0.58/0.63
% 0.58/0.63 cnf(b1,axiom,
% 0.58/0.63 ( ~ between(U,W,X)
% 0.58/0.63 | U != X
% 0.58/0.63 | between(V,W,X) ) ).
% 0.58/0.63
% 0.58/0.63 cnf(t1,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | between(W,V,U) ) ).
% 0.58/0.63
% 0.58/0.63 cnf(t2,axiom,
% 0.58/0.63 between(U,U,V) ).
% 0.58/0.63
% 0.58/0.63 cnf(b2,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | ~ between(V,U,W)
% 0.58/0.63 | U = V ) ).
% 0.58/0.63
% 0.58/0.63 cnf(b3,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | ~ between(U,W,V)
% 0.58/0.63 | V = W ) ).
% 0.58/0.63
% 0.58/0.63 cnf(t6_1,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | ~ between(V,U,W)
% 0.58/0.63 | U = V
% 0.58/0.63 | V = W ) ).
% 0.58/0.63
% 0.58/0.63 cnf(t6_2,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | ~ between(U,W,V)
% 0.58/0.63 | U = V
% 0.58/0.63 | V = W ) ).
% 0.58/0.63
% 0.58/0.63 cnf(b4,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | ~ between(V,W,X)
% 0.58/0.63 | between(U,V,W) ) ).
% 0.58/0.63
% 0.58/0.63 cnf(b5,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | ~ between(U,W,X)
% 0.58/0.63 | between(V,W,X) ) ).
% 0.58/0.63
% 0.58/0.63 cnf(b6,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.63 | ~ between(V,W,X)
% 0.58/0.63 | between(U,W,X)
% 0.58/0.63 | V = W ) ).
% 0.58/0.63
% 0.58/0.63 cnf(b7,axiom,
% 0.58/0.63 ( ~ between(U,V,W)
% 0.58/0.64 | ~ between(V,W,X)
% 0.58/0.64 | between(U,V,X)
% 0.58/0.64 | V = W ) ).
% 0.58/0.64
% 0.58/0.64 cnf(b8,axiom,
% 0.58/0.64 ( ~ between(U,V,X)
% 0.58/0.64 | ~ between(V,W,X)
% 0.58/0.64 | between(U,W,X) ) ).
% 0.58/0.64
% 0.58/0.64 cnf(b9,axiom,
% 0.58/0.64 ( ~ between(U,V,W)
% 0.58/0.64 | ~ between(U,W,X)
% 0.58/0.64 | between(U,V,X) ) ).
% 0.58/0.64
% 0.58/0.64 cnf(e2_1,axiom,
% 0.58/0.64 lower_dimension_point_1 != lower_dimension_point_2 ).
% 0.58/0.64
% 0.58/0.64 cnf(e2_2,axiom,
% 0.58/0.64 lower_dimension_point_2 != lower_dimension_point_3 ).
% 0.58/0.64
% 0.58/0.64 cnf(e2_3,axiom,
% 0.58/0.64 lower_dimension_point_1 != lower_dimension_point_3 ).
% 0.58/0.64
% 0.58/0.64 cnf(e3_1,axiom,
% 0.58/0.64 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 0.58/0.64
% 0.58/0.64 cnf(e3_2,axiom,
% 0.58/0.64 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)) ).
% 0.58/0.64
% 0.58/0.64 cnf(e3_3,axiom,
% 0.58/0.64 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 0.58/0.64
% 0.58/0.64 cnf(b10,axiom,
% 0.58/0.64 ( ~ between(U,V,W)
% 0.58/0.64 | ~ between(U1,V1,W)
% 0.58/0.64 | ~ between(U,X,U1)
% 0.58/0.64 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 0.58/0.64 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 0.58/0.64
% 0.58/0.64 cnf(d11,axiom,
% 0.58/0.64 ( ~ between(U,V,W)
% 0.58/0.64 | ~ equidistant(U,W,U,W1)
% 0.58/0.64 | ~ equidistant(V,W,V,W1)
% 0.58/0.64 | U = V
% 0.58/0.64 | W = W1 ) ).
% 0.58/0.64
% 0.58/0.64 cnf(d12,axiom,
% 0.58/0.64 ( ~ equidistant(U,V,U1,V1)
% 0.58/0.64 | ~ equidistant(U,W,U1,W1)
% 0.58/0.64 | ~ equidistant(U,X,U1,X1)
% 0.58/0.64 | ~ equidistant(W,X,W1,X1)
% 0.58/0.64 | ~ between(U,V,W)
% 0.58/0.64 | ~ between(U1,V1,W1)
% 0.58/0.64 | equidistant(V,X,V1,X1) ) ).
% 0.58/0.64
% 0.58/0.64 cnf(v_between_u_and_w,hypothesis,
% 0.58/0.64 between(u,v,w) ).
% 0.58/0.64
% 0.58/0.64 cnf(v1_between_u1_and_w1,hypothesis,
% 0.58/0.64 between(u1,v1,w1) ).
% 0.58/0.64
% 0.58/0.64 cnf(u_to_v_equals_u1_to_v1,hypothesis,
% 0.58/0.64 equidistant(u,v,u1,v1) ).
% 0.58/0.64
% 0.58/0.64 cnf(u_to_w_equals_u1_to_w1,hypothesis,
% 0.58/0.64 equidistant(u,w,u1,w1) ).
% 0.58/0.64
% 0.58/0.64 cnf(v_to_w_equals_v1_to_w1,negated_conjecture,
% 0.58/0.64 ~ equidistant(v,w,v1,w1) ).
% 0.58/0.64
% 0.58/0.64 %--------------------------------------------------------------------------
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 % Proof found
% 0.58/0.64 % SZS status Theorem for theBenchmark
% 0.58/0.64 % SZS output start Proof
% 0.58/0.64 %ClaNum:104(EqnAxiom:35)
% 0.58/0.64 %VarNum:570(SingletonVarNum:207)
% 0.58/0.64 %MaxLitNum:8
% 0.58/0.64 %MaxfuncDepth:2
% 0.58/0.64 %SharedTerms:20
% 0.58/0.64 %goalClause: 61
% 0.58/0.64 %singleGoalClaCount:1
% 0.58/0.64 [36]P1(a1,a10,a12)
% 0.58/0.64 [37]P1(a11,a13,a14)
% 0.58/0.64 [40]P2(a1,a10,a11,a13)
% 0.58/0.64 [41]P2(a1,a12,a11,a14)
% 0.58/0.64 [55]~E(a8,a6)
% 0.58/0.64 [56]~E(a9,a6)
% 0.58/0.64 [57]~E(a9,a8)
% 0.58/0.64 [58]~P1(a6,a8,a9)
% 0.58/0.64 [59]~P1(a8,a9,a6)
% 0.58/0.64 [60]~P1(a9,a6,a8)
% 0.58/0.64 [61]~P2(a10,a12,a13,a14)
% 0.58/0.64 [38]P1(x381,x382,x382)
% 0.58/0.64 [39]P1(x391,x391,x392)
% 0.58/0.64 [42]P2(x421,x422,x422,x421)
% 0.58/0.64 [43]P2(x431,x432,x431,x432)
% 0.58/0.64 [44]P2(x441,x441,x442,x442)
% 0.58/0.64 [62]~E(f2(x621,x622,a6,a8),x622)
% 0.58/0.64 [53]E(f2(f2(x531,x532,x531,x532),x532,f2(x531,x532,x531,x532),x532),x531)
% 0.58/0.64 [54]P2(x541,x542,x541,f2(f2(x542,x541,x542,x541),x541,f2(x542,x541,x542,x541),x541))
% 0.58/0.64 [45]E(f2(x451,x452,x453,x453),x452)
% 0.58/0.64 [48]P1(x481,x482,f2(x481,x482,x483,x484))
% 0.58/0.64 [50]P2(x501,f2(x502,x501,x503,x504),x503,x504)
% 0.58/0.64 [52]P2(x521,f2(x522,x521,a6,a8),x523,f2(x524,x523,a6,a8))
% 0.58/0.64 [63]~P1(x631,x632,x631)+E(x631,x632)
% 0.58/0.64 [75]~E(x751,x752)+E(f2(x751,x752,x751,x752),x752)
% 0.58/0.64 [78]E(x781,x782)+~E(f2(x782,x781,x782,x781),x781)
% 0.58/0.64 [80]E(x801,x802)+E(f2(x801,x802,x801,x802),f2(x801,x802,x802,x801))
% 0.58/0.64 [64]~P1(x643,x642,x641)+P1(x641,x642,x643)
% 0.58/0.64 [77]~P2(x771,x772,x773,x773)+E(x771,x772)
% 0.58/0.64 [82]~P2(x824,x823,x822,x821)+P2(x821,x822,x823,x824)
% 0.58/0.64 [83]~P2(x833,x834,x832,x831)+P2(x831,x832,x833,x834)
% 0.58/0.64 [84]~P2(x844,x843,x841,x842)+P2(x841,x842,x843,x844)
% 0.58/0.64 [85]~P2(x853,x854,x851,x852)+P2(x851,x852,x853,x854)
% 0.58/0.64 [86]~P2(x862,x861,x864,x863)+P2(x861,x862,x863,x864)
% 0.58/0.64 [87]~P2(x872,x871,x873,x874)+P2(x871,x872,x873,x874)
% 0.58/0.64 [88]~P2(x881,x882,x884,x883)+P2(x881,x882,x883,x884)
% 0.58/0.64 [79]P1(x791,x792,x793)+~E(x793,f2(x791,x792,x794,x795))
% 0.58/0.64 [66]~P1(x663,x661,x662)+E(x661,x662)+~P1(x663,x662,x661)
% 0.58/0.64 [67]~P1(x671,x672,x673)+E(x671,x672)+~P1(x672,x671,x673)
% 0.58/0.64 [76]~P1(x761,x762,x763)+E(x761,x762)+E(f2(x761,x762,x762,x763),x763)
% 0.58/0.64 [65]~P1(x654,x652,x653)+P1(x651,x652,x653)+~E(x654,x653)
% 0.58/0.64 [70]~P1(x704,x701,x702)+P1(x701,x702,x703)+~P1(x704,x702,x703)
% 0.58/0.64 [71]~P1(x711,x714,x713)+P1(x711,x712,x713)+~P1(x714,x712,x713)
% 0.58/0.64 [72]~P1(x721,x722,x724)+P1(x721,x722,x723)+~P1(x721,x724,x723)
% 0.58/0.64 [97]~P1(x975,x971,x974)+~P1(x972,x973,x974)+P1(x971,f7(x972,x973,x974,x971,x975),x972)
% 0.58/0.64 [98]~P1(x985,x984,x983)+~P1(x982,x981,x983)+P1(x981,f7(x982,x981,x983,x984,x985),x985)
% 0.58/0.64 [91]~P2(x915,x916,x911,x912)+P2(x911,x912,x913,x914)+~P2(x915,x916,x913,x914)
% 0.58/0.64 [92]~P2(x921,x922,x925,x926)+P2(x921,x922,x923,x924)+~P2(x925,x926,x923,x924)
% 0.58/0.64 [90]~P2(x903,x904,x905,x906)+E(x901,x902)+E(f2(x901,x902,x903,x904),f2(x901,x902,x905,x906))
% 0.58/0.64 [73]~P1(x731,x732,x734)+~P1(x733,x731,x732)+E(x731,x732)+P1(x733,x732,x734)
% 0.58/0.64 [74]~P1(x741,x742,x744)+~P1(x743,x741,x742)+E(x741,x742)+P1(x743,x741,x744)
% 0.58/0.64 [99]~P1(x994,x992,x993)+~P1(x991,x992,x995)+E(x991,x992)+P1(x991,x993,f3(x991,x994,x992,x993,x995))
% 0.58/0.64 [100]~P1(x1003,x1002,x1004)+~P1(x1001,x1002,x1005)+E(x1001,x1002)+P1(x1001,x1003,f4(x1001,x1003,x1002,x1004,x1005))
% 0.58/0.64 [101]~P1(x1013,x1012,x1014)+~P1(x1011,x1012,x1015)+E(x1011,x1012)+P1(f4(x1011,x1013,x1012,x1014,x1015),x1015,f3(x1011,x1013,x1012,x1014,x1015))
% 0.58/0.64 [81]~P1(x813,x814,x812)+~P1(x813,x814,x811)+~P2(x814,x811,x814,x812)+E(x811,x812)+E(x813,x814)
% 0.58/0.64 [89]~P1(x893,x894,x891)+~P2(x894,x891,x894,x892)+~P2(x893,x891,x893,x892)+E(x891,x892)+E(x893,x894)
% 0.58/0.64 [93]~P2(x936,x932,x935,x934)+~P2(x931,x936,x933,x935)+P2(x931,x932,x933,x934)+~P1(x933,x935,x934)+~P1(x931,x936,x932)
% 0.58/0.64 [102]~P1(x1023,x1024,x1025)+~P1(x1022,x1023,x1025)+~P2(x1022,x1025,x1022,x1026)+~P2(x1022,x1023,x1022,x1021)+P1(x1021,f5(x1022,x1023,x1021,x1024,x1025,x1026),x1026)
% 0.58/0.64 [103]~P1(x1033,x1032,x1035)+~P1(x1031,x1033,x1035)+~P2(x1031,x1035,x1031,x1036)+~P2(x1031,x1033,x1031,x1034)+P2(x1031,x1032,x1031,f5(x1031,x1033,x1034,x1032,x1035,x1036))
% 0.58/0.64 [104]~P1(x1044,x1042,x1045)+~P1(x1043,x1041,x1044)+~P1(x1043,x1046,x1045)+P1(x1041,f7(x1042,f7(x1043,x1041,x1044,x1042,x1045),x1043,x1046,x1045),x1045)+P1(x1046,f7(x1042,f7(x1043,x1041,x1044,x1042,x1045),x1043,x1046,x1045),x1042)
% 0.58/0.64 [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)
% 0.58/0.64 [95]~P2(x958,x952,x956,x954)+~P2(x957,x952,x955,x954)+~P2(x957,x958,x955,x956)+~P2(x957,x951,x955,x953)+P2(x951,x952,x953,x954)+~P1(x955,x953,x956)+~P1(x957,x951,x958)
% 0.58/0.64 [96]~P1(x961,x962,x963)+~P2(x962,x964,x968,x966)+~P2(x962,x963,x968,x965)+~P2(x961,x964,x967,x966)+~P2(x961,x962,x967,x968)+E(x961,x962)+P2(x963,x964,x965,x966)+~P1(x967,x968,x965)
% 0.58/0.64 %EqnAxiom
% 0.58/0.64 [1]E(x11,x11)
% 0.58/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.64 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.58/0.64 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.58/0.64 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.58/0.64 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.58/0.64 [8]~E(x81,x82)+E(f7(x81,x83,x84,x85,x86),f7(x82,x83,x84,x85,x86))
% 0.58/0.64 [9]~E(x91,x92)+E(f7(x93,x91,x94,x95,x96),f7(x93,x92,x94,x95,x96))
% 0.58/0.64 [10]~E(x101,x102)+E(f7(x103,x104,x101,x105,x106),f7(x103,x104,x102,x105,x106))
% 0.58/0.64 [11]~E(x111,x112)+E(f7(x113,x114,x115,x111,x116),f7(x113,x114,x115,x112,x116))
% 0.58/0.64 [12]~E(x121,x122)+E(f7(x123,x124,x125,x126,x121),f7(x123,x124,x125,x126,x122))
% 0.58/0.64 [13]~E(x131,x132)+E(f3(x131,x133,x134,x135,x136),f3(x132,x133,x134,x135,x136))
% 0.58/0.64 [14]~E(x141,x142)+E(f3(x143,x141,x144,x145,x146),f3(x143,x142,x144,x145,x146))
% 0.58/0.64 [15]~E(x151,x152)+E(f3(x153,x154,x151,x155,x156),f3(x153,x154,x152,x155,x156))
% 0.58/0.64 [16]~E(x161,x162)+E(f3(x163,x164,x165,x161,x166),f3(x163,x164,x165,x162,x166))
% 0.58/0.64 [17]~E(x171,x172)+E(f3(x173,x174,x175,x176,x171),f3(x173,x174,x175,x176,x172))
% 0.58/0.64 [18]~E(x181,x182)+E(f4(x181,x183,x184,x185,x186),f4(x182,x183,x184,x185,x186))
% 0.58/0.64 [19]~E(x191,x192)+E(f4(x193,x191,x194,x195,x196),f4(x193,x192,x194,x195,x196))
% 0.58/0.64 [20]~E(x201,x202)+E(f4(x203,x204,x201,x205,x206),f4(x203,x204,x202,x205,x206))
% 0.58/0.64 [21]~E(x211,x212)+E(f4(x213,x214,x215,x211,x216),f4(x213,x214,x215,x212,x216))
% 0.58/0.64 [22]~E(x221,x222)+E(f4(x223,x224,x225,x226,x221),f4(x223,x224,x225,x226,x222))
% 0.58/0.64 [23]~E(x231,x232)+E(f5(x231,x233,x234,x235,x236,x237),f5(x232,x233,x234,x235,x236,x237))
% 0.58/0.64 [24]~E(x241,x242)+E(f5(x243,x241,x244,x245,x246,x247),f5(x243,x242,x244,x245,x246,x247))
% 0.58/0.64 [25]~E(x251,x252)+E(f5(x253,x254,x251,x255,x256,x257),f5(x253,x254,x252,x255,x256,x257))
% 0.58/0.64 [26]~E(x261,x262)+E(f5(x263,x264,x265,x261,x266,x267),f5(x263,x264,x265,x262,x266,x267))
% 0.58/0.64 [27]~E(x271,x272)+E(f5(x273,x274,x275,x276,x271,x277),f5(x273,x274,x275,x276,x272,x277))
% 0.58/0.64 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x287,x281),f5(x283,x284,x285,x286,x287,x282))
% 0.58/0.64 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.58/0.64 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.58/0.64 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.58/0.64 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.58/0.64 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.58/0.64 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.58/0.64 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.58/0.64
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 cnf(129,plain,
% 0.58/0.64 (~E(f2(x1291,x1292,a6,a8),x1292)),
% 0.58/0.64 inference(rename_variables,[],[62])).
% 0.58/0.64 cnf(135,plain,
% 0.58/0.64 (E(f2(x1351,x1352,x1353,x1353),x1352)),
% 0.58/0.64 inference(rename_variables,[],[45])).
% 0.58/0.64 cnf(139,plain,
% 0.58/0.64 (P2(x1391,x1392,x1392,x1391)),
% 0.58/0.64 inference(rename_variables,[],[42])).
% 0.58/0.64 cnf(142,plain,
% 0.58/0.64 (P2(x1421,x1422,x1422,x1421)),
% 0.58/0.64 inference(rename_variables,[],[42])).
% 0.58/0.64 cnf(147,plain,
% 0.58/0.64 (P2(x1471,x1472,x1472,x1471)),
% 0.58/0.64 inference(rename_variables,[],[42])).
% 0.58/0.64 cnf(150,plain,
% 0.58/0.64 (E(f2(x1501,x1502,x1503,x1503),x1502)),
% 0.58/0.64 inference(rename_variables,[],[45])).
% 0.58/0.64 cnf(152,plain,
% 0.58/0.64 (~E(f2(x1521,x1522,a6,a8),x1522)),
% 0.58/0.64 inference(rename_variables,[],[62])).
% 0.58/0.64 cnf(156,plain,
% 0.58/0.64 (P1(x1561,x1562,x1562)),
% 0.58/0.64 inference(rename_variables,[],[38])).
% 0.58/0.64 cnf(159,plain,
% 0.58/0.64 (E(f2(x1591,x1592,x1593,x1593),x1592)),
% 0.58/0.64 inference(rename_variables,[],[45])).
% 0.58/0.64 cnf(161,plain,
% 0.58/0.64 (P1(x1611,x1612,f2(x1611,x1612,x1613,x1614))),
% 0.58/0.64 inference(rename_variables,[],[48])).
% 0.58/0.64 cnf(163,plain,
% 0.58/0.64 (P1(x1631,x1632,f2(x1631,x1632,x1633,x1634))),
% 0.58/0.64 inference(rename_variables,[],[48])).
% 0.58/0.64 cnf(169,plain,
% 0.58/0.64 ($false),
% 0.58/0.64 inference(scs_inference,[],[61,40,42,139,142,147,44,41,38,156,39,48,161,163,45,135,150,159,62,129,152,36,37,55,58,53,82,83,84,85,86,87,88,77,63,64,75,78,79,2,91,92,32,33,34,35,66,67,3,29,30,31,74,95]),
% 0.58/0.64 ['proof']).
% 0.58/0.64 % SZS output end Proof
% 0.58/0.64 % Total time :0.010000s
%------------------------------------------------------------------------------