TSTP Solution File: GEO531+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 22:48:31 EDT 2023
% Result : Theorem 28.71s 28.77s
% Output : CNFRefutation 28.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 92
% Syntax : Number of formulae : 256 ( 66 unt; 62 typ; 0 def)
% Number of atoms : 624 ( 221 equ)
% Maximal formula atoms : 42 ( 3 avg)
% Number of connectives : 621 ( 191 ~; 370 |; 60 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 221 ( 50 >; 171 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-8 aty)
% Number of functors : 45 ( 45 usr; 12 con; 0-6 aty)
% Number of variables : 466 ( 6 sgn; 275 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
s_e: ( $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
ext: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
s_t: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
ip: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
alpha: $i ).
tff(decl_27,type,
beta: $i ).
tff(decl_28,type,
gamma: $i ).
tff(decl_29,type,
crossbar: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
s_ifs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
insert: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
s_e3: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
s_col: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
insert5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
s_fs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_36,type,
le: ( $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
ins: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
sameside: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
c63: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
pointOffLine: ( $i * $i ) > $i ).
tff(decl_41,type,
s_m: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
s: ( $i * $i ) > $i ).
tff(decl_43,type,
s_kf: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
isomidpoint: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
s_r: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
perpAt: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_47,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_48,type,
f813: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
g813: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
il: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
foot: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
erect21a: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
erectAux21a: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
erect: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
erectAux: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
midpointAux: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
midpoint: ( $i * $i ) > $i ).
tff(decl_58,type,
xa: $i ).
tff(decl_59,type,
xb: $i ).
tff(decl_60,type,
xp: $i ).
tff(decl_61,type,
xq: $i ).
tff(decl_62,type,
xc: $i ).
tff(decl_63,type,
xd: $i ).
tff(decl_64,type,
samesideline: ( $i * $i * $i * $i ) > $o ).
tff(decl_65,type,
opposite: ( $i * $i * $i * $i ) > $o ).
tff(decl_66,type,
op: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
reflect: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
erectsameside: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
triangle: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
congruent: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_71,type,
f113a: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
f113c: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
f113d: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
f113f: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_76,type,
f811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
g811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
ss1: ( $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
ss2: ( $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
ss3: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk1_0: $i ).
tff(decl_82,type,
esk2_0: $i ).
tff(decl_83,type,
esk3_0: $i ).
fof(d_Defn9_1,axiom,
! [X13,X16,X12,X15,X36] :
( ( X13 = X16
| s_col(X13,X16,X12)
| s_col(X13,X16,X15)
| ~ s_t(X12,X36,X15)
| ~ s_col(X13,X16,X36)
| opposite(X12,X13,X16,X15) )
& ( ~ opposite(X12,X13,X16,X15)
| ~ s_col(X13,X16,X12) )
& ( ~ opposite(X12,X13,X16,X15)
| ~ s_col(X13,X16,X15) )
& ( ~ opposite(X12,X13,X16,X15)
| s_t(X12,il(X12,X15,X13,X16),X15) )
& ( ~ opposite(X12,X13,X16,X15)
| s_col(X13,X16,il(X12,X15,X13,X16)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn9_1) ).
fof(aSatz10_14,axiom,
! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| s_col(X12,X15,X13)
| opposite(X13,X12,X15,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_14) ).
fof(aSatz11_6,conjecture,
! [X12,X15,X14] :
( X12 = X15
| X14 = X15
| congruent(X12,X15,X14,X12,X15,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_6) ).
fof(aSatz11_4b,axiom,
! [X12,X15,X14,X17,X18,X19] :
( ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113a(X12,X15,X14,X17,X18,X19),X15,X12)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113c(X12,X15,X14,X17,X18,X19),X15,X14)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113d(X12,X15,X14,X17,X18,X19),X18,X17)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113f(X12,X15,X14,X17,X18,X19),X18,X19)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113a(X12,X15,X14,X17,X18,X19),X18,f113d(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113c(X12,X15,X14,X17,X18,X19),X18,f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| ~ s_e(f113a(X12,X15,X14,X17,X18,X19),f113c(X12,X15,X14,X17,X18,X19),f113d(X12,X15,X14,X17,X18,X19),f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4b) ).
fof(aSatz6_4a,axiom,
! [X12,X13,X15] :
( ( ~ sameside(X12,X13,X15)
| s_col(X12,X13,X15) )
& ( ~ sameside(X12,X13,X15)
| ~ s_t(X12,X13,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4a) ).
fof(aSatz10_5,axiom,
! [X12,X15,X13] :
( X12 = X15
| reflect(X12,X15,reflect(X12,X15,X13)) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_5) ).
fof(aSatz6_7,axiom,
! [X12,X13,X15,X14] :
( ~ sameside(X12,X13,X15)
| ~ sameside(X15,X13,X14)
| sameside(X12,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_7) ).
fof(aSatz6_6,axiom,
! [X12,X13,X15] :
( ~ sameside(X12,X13,X15)
| sameside(X15,X13,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_6) ).
fof(aSatz4_11b,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11b) ).
fof(aext1,axiom,
! [X12,X15,X14,X17] :
( ~ s_col(X12,X15,X14)
| ~ s_col(X12,X15,X17)
| X12 = X15
| s_col(X12,X14,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aext1) ).
fof(aSatz4_12b,axiom,
! [X12,X15] : s_col(X12,X15,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
fof(aSatz4_11c,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X15,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11c) ).
fof(aSatz6_3a,axiom,
! [X12,X13,X15] :
( ( ~ sameside(X12,X13,X15)
| X12 != X13 )
& ( ~ sameside(X12,X13,X15)
| X15 != X13 )
& ( ~ sameside(X12,X13,X15)
| c63(X12,X13,X15) != X13 )
& ( ~ sameside(X12,X13,X15)
| s_t(X12,X13,c63(X12,X13,X15)) )
& ( ~ sameside(X12,X13,X15)
| s_t(X15,X13,c63(X12,X13,X15)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_3a) ).
fof(d_Defn4_10,axiom,
! [X12,X15,X14] :
( ( ~ s_col(X12,X15,X14)
| s_t(X12,X15,X14)
| s_t(X15,X14,X12)
| s_t(X14,X12,X15) )
& ( s_col(X12,X15,X14)
| ~ s_t(X12,X15,X14) )
& ( s_col(X12,X15,X14)
| ~ s_t(X15,X14,X12) )
& ( s_col(X12,X15,X14)
| ~ s_t(X14,X12,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
fof(aSatz2_12,axiom,
! [X16,X12,X17,X15,X14] :
( X16 = X12
| ~ s_t(X16,X12,X17)
| ~ s_e(X12,X17,X15,X14)
| X17 = ext(X16,X12,X15,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_12) ).
fof(aA4,axiom,
! [X1,X2,X7,X4] :
( s_t(X1,X2,ext(X1,X2,X7,X4))
& s_e(X2,ext(X1,X2,X7,X4),X7,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(aA1,axiom,
! [X1,X2] : s_e(X1,X2,X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA1) ).
fof(aSatz4_11d,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11d) ).
fof(aSatz4_11a,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X14,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11a) ).
fof(aSatz10_8b,axiom,
! [X12,X15,X13] :
( X12 = X15
| ~ s_col(X12,X15,X13)
| reflect(X12,X15,X13) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_8b) ).
fof(aSatz7_3a,axiom,
! [X12,X29] :
( ~ s_m(X12,X29,X12)
| X29 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3a) ).
fof(aSatz10_2a,axiom,
! [X12,X15,X13] :
( ( X12 = X15
| s_col(X12,X15,midpoint(X13,reflect(X12,X15,X13))) )
& ( X12 = X15
| X13 = reflect(X12,X15,X13)
| perp(X12,X15,X13,reflect(X12,X15,X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_2a) ).
fof(aSatz8_22,axiom,
! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(aSatz5_6,axiom,
! [X12,X15,X14,X17,X20,X21,X22,X26] :
( ~ le(X12,X15,X14,X17)
| ~ s_e(X12,X15,X20,X21)
| ~ s_e(X14,X17,X22,X26)
| le(X20,X21,X22,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_6) ).
fof(aSatz5_7,axiom,
! [X12,X15] : le(X12,X15,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_7) ).
fof(aSatz10_10,axiom,
! [X12,X15,X13,X16] :
( X12 = X15
| s_e(X13,X16,reflect(X12,X15,X13),reflect(X12,X15,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_10) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(aNarbouxLemma1,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_e(X12,X14,X12,X15)
| X14 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNarbouxLemma1) ).
fof(aSatz6_13a,axiom,
! [X12,X13,X15] :
( ~ sameside(X12,X13,X15)
| ~ le(X13,X12,X13,X15)
| s_t(X13,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_13a) ).
fof(aSatz2_1,axiom,
! [X12,X15] : s_e(X12,X15,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_1) ).
fof(c_0_30,plain,
! [X13,X16,X12,X15,X36] :
( ( X13 = X16
| s_col(X13,X16,X12)
| s_col(X13,X16,X15)
| ~ s_t(X12,X36,X15)
| ~ s_col(X13,X16,X36)
| opposite(X12,X13,X16,X15) )
& ( ~ opposite(X12,X13,X16,X15)
| ~ s_col(X13,X16,X12) )
& ( ~ opposite(X12,X13,X16,X15)
| ~ s_col(X13,X16,X15) )
& ( ~ opposite(X12,X13,X16,X15)
| s_t(X12,il(X12,X15,X13,X16),X15) )
& ( ~ opposite(X12,X13,X16,X15)
| s_col(X13,X16,il(X12,X15,X13,X16)) ) ),
inference(fof_simplification,[status(thm)],[d_Defn9_1]) ).
fof(c_0_31,plain,
! [X865,X866,X867,X868] :
( X865 = X866
| reflect(X865,X866,X867) != X868
| s_col(X865,X866,X867)
| opposite(X867,X865,X866,X868) ),
inference(variable_rename,[status(thm)],[aSatz10_14]) ).
fof(c_0_32,negated_conjecture,
~ ! [X12,X15,X14] :
( X12 = X15
| X14 = X15
| congruent(X12,X15,X14,X12,X15,X14) ),
inference(assume_negation,[status(cth)],[aSatz11_6]) ).
fof(c_0_33,plain,
! [X12,X15,X14,X17,X18,X19] :
( ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113a(X12,X15,X14,X17,X18,X19),X15,X12)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113c(X12,X15,X14,X17,X18,X19),X15,X14)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113d(X12,X15,X14,X17,X18,X19),X18,X17)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113f(X12,X15,X14,X17,X18,X19),X18,X19)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113a(X12,X15,X14,X17,X18,X19),X18,f113d(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113c(X12,X15,X14,X17,X18,X19),X18,f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| ~ s_e(f113a(X12,X15,X14,X17,X18,X19),f113c(X12,X15,X14,X17,X18,X19),f113d(X12,X15,X14,X17,X18,X19),f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) ) ),
inference(fof_simplification,[status(thm)],[aSatz11_4b]) ).
fof(c_0_34,plain,
! [X1006,X1007,X1008,X1009,X1010] :
( ( X1006 = X1007
| s_col(X1006,X1007,X1008)
| s_col(X1006,X1007,X1009)
| ~ s_t(X1008,X1010,X1009)
| ~ s_col(X1006,X1007,X1010)
| opposite(X1008,X1006,X1007,X1009) )
& ( ~ opposite(X1008,X1006,X1007,X1009)
| ~ s_col(X1006,X1007,X1008) )
& ( ~ opposite(X1008,X1006,X1007,X1009)
| ~ s_col(X1006,X1007,X1009) )
& ( ~ opposite(X1008,X1006,X1007,X1009)
| s_t(X1008,il(X1008,X1009,X1006,X1007),X1009) )
& ( ~ opposite(X1008,X1006,X1007,X1009)
| s_col(X1006,X1007,il(X1008,X1009,X1006,X1007)) ) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( X1 = X2
| s_col(X1,X2,X3)
| opposite(X3,X1,X2,X4)
| reflect(X1,X2,X3) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X12,X13,X15] :
( ( ~ sameside(X12,X13,X15)
| s_col(X12,X13,X15) )
& ( ~ sameside(X12,X13,X15)
| ~ s_t(X12,X13,X15) ) ),
inference(fof_simplification,[status(thm)],[aSatz6_4a]) ).
fof(c_0_37,negated_conjecture,
( esk1_0 != esk2_0
& esk3_0 != esk2_0
& ~ congruent(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_38,plain,
! [X903,X904,X905,X906,X907,X908] :
( ( X903 = X904
| X905 = X904
| X906 = X907
| X908 = X907
| sameside(f113a(X903,X904,X905,X906,X907,X908),X904,X903)
| congruent(X903,X904,X905,X906,X907,X908) )
& ( X903 = X904
| X905 = X904
| X906 = X907
| X908 = X907
| sameside(f113c(X903,X904,X905,X906,X907,X908),X904,X905)
| congruent(X903,X904,X905,X906,X907,X908) )
& ( X903 = X904
| X905 = X904
| X906 = X907
| X908 = X907
| sameside(f113d(X903,X904,X905,X906,X907,X908),X907,X906)
| congruent(X903,X904,X905,X906,X907,X908) )
& ( X903 = X904
| X905 = X904
| X906 = X907
| X908 = X907
| sameside(f113f(X903,X904,X905,X906,X907,X908),X907,X908)
| congruent(X903,X904,X905,X906,X907,X908) )
& ( X903 = X904
| X905 = X904
| X906 = X907
| X908 = X907
| s_e(X904,f113a(X903,X904,X905,X906,X907,X908),X907,f113d(X903,X904,X905,X906,X907,X908))
| congruent(X903,X904,X905,X906,X907,X908) )
& ( X903 = X904
| X905 = X904
| X906 = X907
| X908 = X907
| s_e(X904,f113c(X903,X904,X905,X906,X907,X908),X907,f113f(X903,X904,X905,X906,X907,X908))
| congruent(X903,X904,X905,X906,X907,X908) )
& ( X903 = X904
| X905 = X904
| X906 = X907
| X908 = X907
| ~ s_e(f113a(X903,X904,X905,X906,X907,X908),f113c(X903,X904,X905,X906,X907,X908),f113d(X903,X904,X905,X906,X907,X908),f113f(X903,X904,X905,X906,X907,X908))
| congruent(X903,X904,X905,X906,X907,X908) ) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
( ~ opposite(X1,X2,X3,X4)
| ~ s_col(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( X1 = X2
| opposite(X3,X1,X2,reflect(X1,X2,X3))
| s_col(X1,X2,X3) ),
inference(er,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X820,X821,X822] :
( X820 = X821
| reflect(X820,X821,reflect(X820,X821,X822)) = X822 ),
inference(variable_rename,[status(thm)],[aSatz10_5]) ).
fof(c_0_42,plain,
! [X12,X13,X15,X14] :
( ~ sameside(X12,X13,X15)
| ~ sameside(X15,X13,X14)
| sameside(X12,X13,X14) ),
inference(fof_simplification,[status(thm)],[aSatz6_7]) ).
fof(c_0_43,plain,
! [X12,X13,X15] :
( ~ sameside(X12,X13,X15)
| sameside(X15,X13,X12) ),
inference(fof_simplification,[status(thm)],[aSatz6_6]) ).
fof(c_0_44,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz4_11b]) ).
fof(c_0_45,plain,
! [X322,X323,X324] :
( ( ~ sameside(X322,X323,X324)
| s_col(X322,X323,X324) )
& ( ~ sameside(X322,X323,X324)
| ~ s_t(X322,X323,X324) ) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
~ congruent(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113a(X1,X2,X3,X4,X5,X6),X2,X1)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,negated_conjecture,
esk3_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_50,plain,
! [X12,X15,X14,X17] :
( ~ s_col(X12,X15,X14)
| ~ s_col(X12,X15,X17)
| X12 = X15
| s_col(X12,X14,X17) ),
inference(fof_simplification,[status(thm)],[aext1]) ).
cnf(c_0_51,plain,
( X1 = X2
| s_col(X1,X2,X3)
| ~ s_col(X1,X2,reflect(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,plain,
( X1 = X2
| reflect(X1,X2,reflect(X1,X2,X3)) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_53,plain,
! [X213,X214] : s_col(X213,X214,X213),
inference(variable_rename,[status(thm)],[aSatz4_12b]) ).
fof(c_0_54,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz4_11c]) ).
fof(c_0_55,plain,
! [X333,X334,X335,X336] :
( ~ sameside(X333,X334,X335)
| ~ sameside(X335,X334,X336)
| sameside(X333,X334,X336) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
cnf(c_0_56,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113c(X1,X2,X3,X4,X5,X6),X2,X3)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_57,plain,
! [X330,X331,X332] :
( ~ sameside(X330,X331,X332)
| sameside(X332,X331,X330) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_58,plain,
! [X199,X200,X201] :
( ~ s_col(X199,X200,X201)
| s_col(X201,X199,X200) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
cnf(c_0_59,plain,
( s_col(X1,X2,X3)
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,negated_conjecture,
sameside(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).
fof(c_0_61,plain,
! [X631,X632,X633,X634] :
( ~ s_col(X631,X632,X633)
| ~ s_col(X631,X632,X634)
| X631 = X632
| s_col(X631,X633,X634) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
cnf(c_0_62,plain,
( X1 = X2
| s_col(X1,X2,reflect(X1,X2,X3))
| ~ s_col(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
s_col(X1,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_64,plain,
! [X202,X203,X204] :
( ~ s_col(X202,X203,X204)
| s_col(X204,X203,X202) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_65,plain,
! [X12,X13,X15] :
( ( ~ sameside(X12,X13,X15)
| X12 != X13 )
& ( ~ sameside(X12,X13,X15)
| X15 != X13 )
& ( ~ sameside(X12,X13,X15)
| c63(X12,X13,X15) != X13 )
& ( ~ sameside(X12,X13,X15)
| s_t(X12,X13,c63(X12,X13,X15)) )
& ( ~ sameside(X12,X13,X15)
| s_t(X15,X13,c63(X12,X13,X15)) ) ),
inference(fof_simplification,[status(thm)],[aSatz6_3a]) ).
cnf(c_0_66,plain,
( sameside(X1,X2,X4)
| ~ sameside(X1,X2,X3)
| ~ sameside(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
sameside(f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_56]),c_0_48]),c_0_49]) ).
cnf(c_0_68,plain,
( sameside(X3,X2,X1)
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
( s_col(X3,X1,X2)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_70,negated_conjecture,
s_col(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_71,plain,
( X1 = X2
| s_col(X1,X3,X4)
| ~ s_col(X1,X2,X3)
| ~ s_col(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,plain,
( X1 = X2
| s_col(X1,X2,reflect(X1,X2,X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,plain,
( s_col(X3,X2,X1)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_74,plain,
! [X12,X15,X14] :
( ( ~ s_col(X12,X15,X14)
| s_t(X12,X15,X14)
| s_t(X15,X14,X12)
| s_t(X14,X12,X15) )
& ( s_col(X12,X15,X14)
| ~ s_t(X12,X15,X14) )
& ( s_col(X12,X15,X14)
| ~ s_t(X15,X14,X12) )
& ( s_col(X12,X15,X14)
| ~ s_t(X14,X12,X15) ) ),
inference(fof_simplification,[status(thm)],[d_Defn4_10]) ).
fof(c_0_75,plain,
! [X16,X12,X17,X15,X14] :
( X16 = X12
| ~ s_t(X16,X12,X17)
| ~ s_e(X12,X17,X15,X14)
| X17 = ext(X16,X12,X15,X14) ),
inference(fof_simplification,[status(thm)],[aSatz2_12]) ).
fof(c_0_76,plain,
! [X315,X316,X317] :
( ( ~ sameside(X315,X316,X317)
| X315 != X316 )
& ( ~ sameside(X315,X316,X317)
| X317 != X316 )
& ( ~ sameside(X315,X316,X317)
| c63(X315,X316,X317) != X316 )
& ( ~ sameside(X315,X316,X317)
| s_t(X315,X316,c63(X315,X316,X317)) )
& ( ~ sameside(X315,X316,X317)
| s_t(X317,X316,c63(X315,X316,X317)) ) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
cnf(c_0_77,negated_conjecture,
( sameside(X1,esk2_0,esk3_0)
| ~ sameside(X1,esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_78,negated_conjecture,
sameside(esk3_0,esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_79,negated_conjecture,
s_col(esk1_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,plain,
( X1 = X2
| s_col(X1,X3,reflect(X1,X2,X1))
| ~ s_col(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
s_col(esk1_0,esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_73,c_0_70]) ).
fof(c_0_82,plain,
! [X962,X963,X964] :
( ( ~ s_col(X962,X963,X964)
| s_t(X962,X963,X964)
| s_t(X963,X964,X962)
| s_t(X964,X962,X963) )
& ( s_col(X962,X963,X964)
| ~ s_t(X962,X963,X964) )
& ( s_col(X962,X963,X964)
| ~ s_t(X963,X964,X962) )
& ( s_col(X962,X963,X964)
| ~ s_t(X964,X962,X963) ) ),
inference(variable_rename,[status(thm)],[c_0_74]) ).
fof(c_0_83,plain,
! [X62,X63,X64,X65] :
( s_t(X62,X63,ext(X62,X63,X64,X65))
& s_e(X63,ext(X62,X63,X64,X65),X64,X65) ),
inference(variable_rename,[status(thm)],[aA4]) ).
fof(c_0_84,plain,
! [X109,X110,X111,X112,X113] :
( X109 = X110
| ~ s_t(X109,X110,X111)
| ~ s_e(X110,X111,X112,X113)
| X111 = ext(X109,X110,X112,X113) ),
inference(variable_rename,[status(thm)],[c_0_75]) ).
fof(c_0_85,plain,
! [X51,X52] : s_e(X51,X52,X52,X51),
inference(variable_rename,[status(thm)],[aA1]) ).
fof(c_0_86,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X12,X14) ),
inference(fof_simplification,[status(thm)],[aSatz4_11d]) ).
cnf(c_0_87,plain,
( s_t(X1,X2,c63(X1,X2,X3))
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,negated_conjecture,
sameside(esk3_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_89,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X14,X12) ),
inference(fof_simplification,[status(thm)],[aSatz4_11a]) ).
fof(c_0_90,plain,
! [X12,X15,X13] :
( X12 = X15
| ~ s_col(X12,X15,X13)
| reflect(X12,X15,X13) = X13 ),
inference(fof_simplification,[status(thm)],[aSatz10_8b]) ).
cnf(c_0_91,negated_conjecture,
( f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = esk1_0
| s_col(esk1_0,X1,esk2_0)
| ~ s_col(esk1_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_79]) ).
cnf(c_0_92,negated_conjecture,
s_col(esk1_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),reflect(esk1_0,esk2_0,esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_49]) ).
cnf(c_0_93,plain,
( s_col(X1,X2,X3)
| ~ s_t(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_94,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_95,plain,
( X1 = X2
| X3 = ext(X1,X2,X4,X5)
| ~ s_t(X1,X2,X3)
| ~ s_e(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,plain,
s_e(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_97,plain,
! [X205,X206,X207] :
( ~ s_col(X205,X206,X207)
| s_col(X206,X205,X207) ),
inference(variable_rename,[status(thm)],[c_0_86]) ).
cnf(c_0_98,plain,
( s_col(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_99,negated_conjecture,
s_t(esk3_0,esk2_0,c63(esk3_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_100,plain,
! [X196,X197,X198] :
( ~ s_col(X196,X197,X198)
| s_col(X197,X198,X196) ),
inference(variable_rename,[status(thm)],[c_0_89]) ).
fof(c_0_101,plain,
! [X834,X835,X836] :
( X834 = X835
| ~ s_col(X834,X835,X836)
| reflect(X834,X835,X836) = X836 ),
inference(variable_rename,[status(thm)],[c_0_90]) ).
cnf(c_0_102,negated_conjecture,
( f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = esk1_0
| s_col(esk1_0,reflect(esk1_0,esk2_0,esk1_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_103,plain,
s_col(X1,ext(X2,X1,X3,X4),X2),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,plain,
( ext(X1,X2,X3,X2) = X3
| X1 = X2
| ~ s_t(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,plain,
( s_col(X2,X1,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,negated_conjecture,
s_col(esk3_0,esk2_0,c63(esk3_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_107,plain,
( s_col(X2,X3,X1)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_108,plain,
( X1 = X2
| reflect(X1,X2,X3) = X3
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = esk1_0
| s_col(esk2_0,esk1_0,reflect(esk1_0,esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_102]) ).
fof(c_0_110,plain,
! [X12,X29] :
( ~ s_m(X12,X29,X12)
| X29 = X12 ),
inference(fof_simplification,[status(thm)],[aSatz7_3a]) ).
cnf(c_0_111,plain,
( ext(X1,X2,X3,X4) = X2
| s_col(X2,X5,X1)
| ~ s_col(X2,ext(X1,X2,X3,X4),X5) ),
inference(spm,[status(thm)],[c_0_71,c_0_103]) ).
cnf(c_0_112,negated_conjecture,
ext(esk3_0,esk2_0,c63(esk3_0,esk2_0,esk3_0),esk2_0) = c63(esk3_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_99]),c_0_48]) ).
cnf(c_0_113,negated_conjecture,
s_col(esk2_0,esk3_0,c63(esk3_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
fof(c_0_114,plain,
! [X809,X810,X811] :
( ( X809 = X810
| s_col(X809,X810,midpoint(X811,reflect(X809,X810,X811))) )
& ( X809 = X810
| X811 = reflect(X809,X810,X811)
| perp(X809,X810,X811,reflect(X809,X810,X811)) ) ),
inference(variable_rename,[status(thm)],[aSatz10_2a]) ).
cnf(c_0_115,negated_conjecture,
s_col(esk2_0,esk1_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_107,c_0_70]) ).
cnf(c_0_116,negated_conjecture,
( reflect(esk2_0,esk1_0,reflect(esk1_0,esk2_0,esk1_0)) = reflect(esk1_0,esk2_0,esk1_0)
| f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_49]) ).
cnf(c_0_117,plain,
( reflect(X1,X2,X1) = X1
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_108,c_0_63]) ).
fof(c_0_118,plain,
! [X405,X406] :
( ~ s_m(X405,X406,X405)
| X406 = X405 ),
inference(variable_rename,[status(thm)],[c_0_110]) ).
fof(c_0_119,plain,
! [X609,X610] : s_m(X609,midpoint(X609,X610),X610),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
cnf(c_0_120,negated_conjecture,
( c63(esk3_0,esk2_0,esk3_0) = esk2_0
| s_col(esk2_0,X1,esk3_0)
| ~ s_col(esk2_0,c63(esk3_0,esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_121,negated_conjecture,
s_col(esk2_0,c63(esk3_0,esk2_0,esk3_0),reflect(esk2_0,esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_113]),c_0_48]) ).
cnf(c_0_122,plain,
( X1 = X2
| s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_123,negated_conjecture,
reflect(esk2_0,esk1_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)) = f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_115]),c_0_49]) ).
cnf(c_0_124,negated_conjecture,
( f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = esk1_0
| reflect(esk2_0,esk1_0,esk1_0) = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_49]) ).
cnf(c_0_125,plain,
( X2 = X1
| ~ s_m(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_126,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_127,negated_conjecture,
( c63(esk3_0,esk2_0,esk3_0) = esk2_0
| s_col(esk2_0,reflect(esk2_0,esk3_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,plain,
( X1 = X2
| s_col(X1,midpoint(X3,reflect(X1,X2,X3)),reflect(X1,X2,X1)) ),
inference(spm,[status(thm)],[c_0_80,c_0_122]) ).
cnf(c_0_129,negated_conjecture,
reflect(esk2_0,esk1_0,esk1_0) = esk1_0,
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_130,plain,
midpoint(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_131,negated_conjecture,
( c63(esk3_0,esk2_0,esk3_0) = esk2_0
| s_col(esk3_0,esk2_0,reflect(esk2_0,esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_127]) ).
fof(c_0_132,plain,
! [X12,X15,X14,X17,X20,X21,X22,X26] :
( ~ le(X12,X15,X14,X17)
| ~ s_e(X12,X15,X20,X21)
| ~ s_e(X14,X17,X22,X26)
| le(X20,X21,X22,X26) ),
inference(fof_simplification,[status(thm)],[aSatz5_6]) ).
cnf(c_0_133,negated_conjecture,
s_col(esk2_0,esk1_0,reflect(esk2_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_49]) ).
cnf(c_0_134,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113d(X1,X2,X3,X4,X5,X6),X5,X4)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_135,negated_conjecture,
( reflect(esk3_0,esk2_0,reflect(esk2_0,esk3_0,esk2_0)) = reflect(esk2_0,esk3_0,esk2_0)
| c63(esk3_0,esk2_0,esk3_0) = esk2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_131]),c_0_48]) ).
cnf(c_0_136,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113f(X1,X2,X3,X4,X5,X6),X5,X6)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_137,plain,
! [X268,X269,X270,X271,X272,X273,X274,X275] :
( ~ le(X268,X269,X270,X271)
| ~ s_e(X268,X269,X272,X273)
| ~ s_e(X270,X271,X274,X275)
| le(X272,X273,X274,X275) ),
inference(variable_rename,[status(thm)],[c_0_132]) ).
fof(c_0_138,plain,
! [X276,X277] : le(X276,X277,X276,X277),
inference(variable_rename,[status(thm)],[aSatz5_7]) ).
fof(c_0_139,plain,
! [X841,X842,X843,X844] :
( X841 = X842
| s_e(X843,X844,reflect(X841,X842,X843),reflect(X841,X842,X844)) ),
inference(variable_rename,[status(thm)],[aSatz10_10]) ).
cnf(c_0_140,negated_conjecture,
reflect(esk2_0,esk1_0,reflect(esk2_0,esk1_0,esk2_0)) = reflect(esk2_0,esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_133]),c_0_49]) ).
fof(c_0_141,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz2_2]) ).
cnf(c_0_142,negated_conjecture,
sameside(f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_134]),c_0_48]),c_0_49]) ).
cnf(c_0_143,plain,
( ~ sameside(X1,X2,X3)
| c63(X1,X2,X3) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_144,negated_conjecture,
( c63(esk3_0,esk2_0,esk3_0) = esk2_0
| reflect(esk3_0,esk2_0,esk2_0) = esk2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_117]),c_0_48]) ).
cnf(c_0_145,negated_conjecture,
sameside(f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_136]),c_0_48]),c_0_49]) ).
cnf(c_0_146,plain,
( le(X5,X6,X7,X8)
| ~ le(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_147,plain,
le(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_148,plain,
( X1 = X2
| s_e(X3,X4,reflect(X1,X2,X3),reflect(X1,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_149,negated_conjecture,
reflect(esk2_0,esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_140]),c_0_49]) ).
fof(c_0_150,plain,
! [X83,X84,X85,X86] :
( ~ s_e(X83,X84,X85,X86)
| s_e(X85,X86,X83,X84) ),
inference(variable_rename,[status(thm)],[c_0_141]) ).
cnf(c_0_151,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| s_e(X2,f113a(X1,X2,X3,X4,X5,X6),X5,f113d(X1,X2,X3,X4,X5,X6))
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_152,negated_conjecture,
s_col(f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_59,c_0_142]) ).
cnf(c_0_153,negated_conjecture,
reflect(esk3_0,esk2_0,esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_88])]) ).
cnf(c_0_154,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| s_e(X2,f113c(X1,X2,X3,X4,X5,X6),X5,f113f(X1,X2,X3,X4,X5,X6))
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_155,negated_conjecture,
s_col(f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_59,c_0_145]) ).
fof(c_0_156,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_e(X12,X14,X12,X15)
| X14 = X15 ),
inference(fof_simplification,[status(thm)],[aNarbouxLemma1]) ).
fof(c_0_157,plain,
! [X12,X13,X15] :
( ~ sameside(X12,X13,X15)
| ~ le(X13,X12,X13,X15)
| s_t(X13,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz6_13a]) ).
cnf(c_0_158,plain,
( le(X1,X2,X3,X4)
| ~ s_e(X5,X6,X3,X4)
| ~ s_e(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_159,negated_conjecture,
s_e(esk2_0,X1,esk2_0,reflect(esk2_0,esk1_0,X1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_49]) ).
cnf(c_0_160,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_161,negated_conjecture,
s_e(esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_151]),c_0_48]),c_0_49]) ).
cnf(c_0_162,negated_conjecture,
s_col(esk2_0,esk1_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_107,c_0_152]) ).
cnf(c_0_163,negated_conjecture,
sameside(esk1_0,esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_68,c_0_142]) ).
cnf(c_0_164,negated_conjecture,
s_e(esk2_0,X1,esk2_0,reflect(esk3_0,esk2_0,X1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_153]),c_0_48]) ).
cnf(c_0_165,negated_conjecture,
s_e(esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_154]),c_0_48]),c_0_49]) ).
cnf(c_0_166,negated_conjecture,
s_col(esk3_0,esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_73,c_0_155]) ).
cnf(c_0_167,negated_conjecture,
sameside(esk3_0,esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_68,c_0_145]) ).
fof(c_0_168,plain,
! [X301,X302,X303] :
( ~ s_t(X301,X302,X303)
| ~ s_e(X301,X303,X301,X302)
| X303 = X302 ),
inference(variable_rename,[status(thm)],[c_0_156]) ).
fof(c_0_169,plain,
! [X347,X348,X349] :
( ~ sameside(X347,X348,X349)
| ~ le(X348,X347,X348,X349)
| s_t(X348,X347,X349) ),
inference(variable_rename,[status(thm)],[c_0_157]) ).
cnf(c_0_170,negated_conjecture,
( le(X1,X2,esk2_0,reflect(esk2_0,esk1_0,X3))
| ~ s_e(esk2_0,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_171,negated_conjecture,
s_e(esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_172,negated_conjecture,
reflect(esk2_0,esk1_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)) = f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_162]),c_0_49]) ).
cnf(c_0_173,negated_conjecture,
( sameside(X1,esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0))
| ~ sameside(X1,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_163]) ).
cnf(c_0_174,negated_conjecture,
( le(X1,X2,esk2_0,reflect(esk3_0,esk2_0,X3))
| ~ s_e(esk2_0,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_164]) ).
cnf(c_0_175,negated_conjecture,
s_e(esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_160,c_0_165]) ).
cnf(c_0_176,negated_conjecture,
reflect(esk3_0,esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)) = f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_166]),c_0_48]) ).
cnf(c_0_177,negated_conjecture,
( sameside(X1,esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0))
| ~ sameside(X1,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_167]) ).
cnf(c_0_178,plain,
( X3 = X2
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_179,plain,
( s_t(X2,X1,X3)
| ~ sameside(X1,X2,X3)
| ~ le(X2,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_180,negated_conjecture,
le(esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_181,negated_conjecture,
sameside(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_173,c_0_60]) ).
cnf(c_0_182,negated_conjecture,
le(esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_183,negated_conjecture,
sameside(f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_177,c_0_67]) ).
cnf(c_0_184,negated_conjecture,
( f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)
| ~ s_t(esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_178,c_0_171]) ).
cnf(c_0_185,negated_conjecture,
s_t(esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181])]) ).
cnf(c_0_186,negated_conjecture,
( f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)
| ~ s_t(esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_178,c_0_175]) ).
cnf(c_0_187,negated_conjecture,
s_t(esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_182]),c_0_183])]) ).
fof(c_0_188,plain,
! [X81,X82] : s_e(X81,X82,X81,X82),
inference(variable_rename,[status(thm)],[aSatz2_1]) ).
cnf(c_0_189,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| congruent(X1,X2,X3,X4,X5,X6)
| ~ s_e(f113a(X1,X2,X3,X4,X5,X6),f113c(X1,X2,X3,X4,X5,X6),f113d(X1,X2,X3,X4,X5,X6),f113f(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_190,negated_conjecture,
f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).
cnf(c_0_191,negated_conjecture,
f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).
cnf(c_0_192,plain,
s_e(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_193,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_192])]),c_0_48]),c_0_49]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 21:43:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 28.71/28.77 % Version : CSE_E---1.5
% 28.71/28.77 % Problem : theBenchmark.p
% 28.71/28.77 % Proof found
% 28.71/28.77 % SZS status Theorem for theBenchmark.p
% 28.71/28.77 % SZS output start Proof
% See solution above
% 28.77/28.79 % Total time : 28.192000 s
% 28.77/28.79 % SZS output end Proof
% 28.77/28.79 % Total time : 28.205000 s
%------------------------------------------------------------------------------