TSTP Solution File: GEO526+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO526+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 : 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 : Wed Aug 30 22:48:30 EDT 2023
% Result : Theorem 1.73s 1.84s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 81
% Syntax : Number of formulae : 193 ( 50 unt; 57 typ; 0 def)
% Number of atoms : 295 ( 42 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 307 ( 148 ~; 139 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 181 ( 43 >; 138 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-8 aty)
% Number of functors : 41 ( 41 usr; 14 con; 0-6 aty)
% Number of variables : 414 ( 15 sgn; 239 !; 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,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
f811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
g811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
ss1: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
ss2: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
ss3: ( $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
esk1_0: $i ).
tff(decl_75,type,
esk2_0: $i ).
tff(decl_76,type,
esk3_0: $i ).
tff(decl_77,type,
esk4_0: $i ).
tff(decl_78,type,
esk5_0: $i ).
fof(aSatz7_15a,axiom,
! [X13,X16,X27,X12] :
( ~ s_t(X13,X16,X27)
| s_t(s(X12,X13),s(X12,X16),s(X12,X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15a) ).
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(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(aSatz7_6,axiom,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(aSatz8_22,axiom,
! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(aA3,axiom,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA3) ).
fof(d_Defn5_4,axiom,
! [X12,X15,X14,X17,X2] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X14,insert(X12,X15,X14,X17),X17) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,X15,X14,insert(X12,X15,X14,X17)) )
& ( ~ s_t(X14,X2,X17)
| ~ s_e(X12,X15,X14,X2)
| le(X12,X15,X14,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(aSatz7_13,axiom,
! [X13,X16,X12] : s_e(X13,X16,s(X12,X13),s(X12,X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_13) ).
fof(aSatz6_5,axiom,
! [X12,X13] :
( X12 = X13
| sameside(X12,X13,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_5) ).
fof(aSatz7_18,axiom,
! [X12,X13,X15] :
( s(X12,X13) != s(X15,X13)
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_18) ).
fof(aSatz7_10b,axiom,
! [X12,X13] :
( s(X12,X13) = X13
| X13 != X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(aSatz3_1,axiom,
! [X12,X15] : s_t(X12,X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_1) ).
fof(aSatz5_9,axiom,
! [X12,X15,X14,X17] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X12,X15)
| s_e(X12,X15,X14,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_9) ).
fof(aSatz2_4,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X14,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_4) ).
fof(aSatz10_12c,conjecture,
! [X12,X15,X14,X20,X22] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X22)
| ~ s_e(X12,X15,X20,X15)
| ~ s_e(X15,X14,X15,X22)
| s_e(X12,X14,X20,X22)
| X15 != midpoint(X14,X22)
| X14 = X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12c) ).
fof(aSatz5_5b,axiom,
! [X12,X15,X14,X17,X18] :
( le(X12,X15,X14,X17)
| ~ s_t(X12,X15,X18)
| ~ s_e(X12,X18,X14,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5b) ).
fof(aSatz5_8,axiom,
! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_8) ).
fof(aSatz8_4,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X12,X15,s(X15,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_4) ).
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(d_Defn8_1,axiom,
! [X12,X15,X14] :
( ( ~ s_r(X12,X15,X14)
| s_e(X12,X14,X12,s(X15,X14)) )
& ( s_r(X12,X15,X14)
| ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(aSatz10_12b,axiom,
! [X12,X15,X14,X20] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X14)
| ~ s_e(X12,X15,X20,X15)
| s_e(X12,X14,X20,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12b) ).
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(aSatz2_14,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
fof(c_0_24,plain,
! [X13,X16,X27,X12] :
( ~ s_t(X13,X16,X27)
| s_t(s(X12,X13),s(X12,X16),s(X12,X27)) ),
inference(fof_simplification,[status(thm)],[aSatz7_15a]) ).
fof(c_0_25,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_26,plain,
! [X430,X431,X432,X433] :
( ~ s_t(X430,X431,X432)
| s_t(s(X433,X430),s(X433,X431),s(X433,X432)) ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_27,plain,
! [X58,X59,X60,X61] :
( s_t(X58,X59,ext(X58,X59,X60,X61))
& s_e(X59,ext(X58,X59,X60,X61),X60,X61) ),
inference(variable_rename,[status(thm)],[aA4]) ).
fof(c_0_28,plain,
! [X318,X319,X320] :
( ( ~ sameside(X318,X319,X320)
| s_col(X318,X319,X320) )
& ( ~ sameside(X318,X319,X320)
| ~ s_t(X318,X319,X320) ) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( s_t(s(X4,X1),s(X4,X2),s(X4,X3))
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
inference(fof_simplification,[status(thm)],[aSatz7_6]) ).
cnf(c_0_32,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
s_t(s(X1,X2),s(X1,X3),s(X1,ext(X2,X3,X4,X5))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_34,plain,
! [X414,X415] : s(X414,s(X414,X415)) = X415,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_35,plain,
! [X411,X412,X413] :
( ~ s_m(X411,X412,X413)
| X413 = s(X412,X411) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X605,X606] : s_m(X605,midpoint(X605,X606),X606),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
fof(c_0_37,plain,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[aA3]) ).
cnf(c_0_38,plain,
~ sameside(s(X1,X2),s(X1,X3),s(X1,ext(X2,X3,X4,X5))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( X3 = s(X2,X1)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X55,X56,X57] :
( ~ s_e(X55,X56,X57,X57)
| X55 = X56 ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
~ sameside(s(X1,X2),X3,s(X1,ext(X2,s(X1,X3),X4,X5))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_46,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_47,plain,
! [X12,X15,X14,X17,X2] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X14,insert(X12,X15,X14,X17),X17) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,X15,X14,insert(X12,X15,X14,X17)) )
& ( ~ s_t(X14,X2,X17)
| ~ s_e(X12,X15,X14,X2)
| le(X12,X15,X14,X17) ) ),
inference(fof_simplification,[status(thm)],[d_Defn5_4]) ).
cnf(c_0_48,plain,
~ sameside(s(midpoint(X1,X2),X3),X1,s(midpoint(X1,X2),ext(X3,X2,X4,X5))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
ext(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X887,X888,X889,X890,X891] :
( ( ~ le(X887,X888,X889,X890)
| s_t(X889,insert(X887,X888,X889,X890),X890) )
& ( ~ le(X887,X888,X889,X890)
| s_e(X887,X888,X889,insert(X887,X888,X889,X890)) )
& ( ~ s_t(X889,X891,X890)
| ~ s_e(X887,X888,X889,X891)
| le(X887,X888,X889,X890) ) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_51,plain,
! [X427,X428,X429] : s_e(X427,X428,s(X429,X427),s(X429,X428)),
inference(variable_rename,[status(thm)],[aSatz7_13]) ).
cnf(c_0_52,plain,
~ sameside(s(midpoint(X1,X2),X3),X1,s(midpoint(X1,X2),X2)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X324,X325] :
( X324 = X325
| sameside(X324,X325,X324) ),
inference(variable_rename,[status(thm)],[aSatz6_5]) ).
fof(c_0_54,plain,
! [X452,X453,X454] :
( s(X452,X453) != s(X454,X453)
| X452 = X454 ),
inference(variable_rename,[status(thm)],[aSatz7_18]) ).
cnf(c_0_55,plain,
( le(X4,X5,X1,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X4,X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
s_e(X1,X2,s(X3,X1),s(X3,X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
~ sameside(X1,X2,s(midpoint(X2,X3),X3)),
inference(spm,[status(thm)],[c_0_52,c_0_39]) ).
cnf(c_0_58,plain,
( X1 = X2
| sameside(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,plain,
( X1 = X3
| s(X1,X2) != s(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
( le(X1,X2,s(X3,X1),X4)
| ~ s_t(s(X3,X1),s(X3,X2),X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
s(midpoint(X1,X2),X2) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( X1 = X2
| s(X1,s(X2,X3)) != X3 ),
inference(spm,[status(thm)],[c_0_59,c_0_39]) ).
fof(c_0_63,plain,
! [X425,X426] :
( s(X425,X426) = X426
| X426 != X425 ),
inference(variable_rename,[status(thm)],[aSatz7_10b]) ).
cnf(c_0_64,plain,
( le(X1,X2,X3,X4)
| ~ s_t(X3,s(midpoint(X3,X1),X2),X4) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
midpoint(X1,s(X2,X1)) = X2,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61])]) ).
cnf(c_0_66,plain,
( s(X1,X2) = X2
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_67,plain,
( le(s(X1,X2),X3,X2,X4)
| ~ s_t(X2,s(X1,X3),X4) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[c_0_66]) ).
fof(c_0_69,plain,
! [X123,X124] : s_t(X123,X124,X124),
inference(variable_rename,[status(thm)],[aSatz3_1]) ).
fof(c_0_70,plain,
! [X12,X15,X14,X17] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X12,X15)
| s_e(X12,X15,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz5_9]) ).
cnf(c_0_71,plain,
( le(s(X1,X2),X1,X2,X3)
| ~ s_t(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
s_t(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_73,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz2_4]) ).
fof(c_0_74,plain,
! [X280,X281,X282,X283] :
( ~ le(X280,X281,X282,X283)
| ~ le(X282,X283,X280,X281)
| s_e(X280,X281,X282,X283) ),
inference(variable_rename,[status(thm)],[c_0_70]) ).
cnf(c_0_75,plain,
le(s(X1,X2),X1,X2,X1),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_76,negated_conjecture,
~ ! [X12,X15,X14,X20,X22] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X22)
| ~ s_e(X12,X15,X20,X15)
| ~ s_e(X15,X14,X15,X22)
| s_e(X12,X14,X20,X22)
| X15 != midpoint(X14,X22)
| X14 = X22 ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz10_12c])]) ).
fof(c_0_77,plain,
! [X12,X15,X14,X17,X18] :
( le(X12,X15,X14,X17)
| ~ s_t(X12,X15,X18)
| ~ s_e(X12,X18,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz5_5b]) ).
fof(c_0_78,plain,
! [X89,X90,X91,X92] :
( ~ s_e(X89,X90,X91,X92)
| s_e(X90,X89,X91,X92) ),
inference(variable_rename,[status(thm)],[c_0_73]) ).
cnf(c_0_79,plain,
( s_e(X1,X2,X3,X4)
| ~ le(X1,X2,X3,X4)
| ~ le(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,plain,
le(X1,X2,s(X2,X1),X2),
inference(spm,[status(thm)],[c_0_75,c_0_39]) ).
fof(c_0_81,negated_conjecture,
( s_r(esk1_0,esk2_0,esk3_0)
& s_r(esk4_0,esk2_0,esk5_0)
& s_e(esk1_0,esk2_0,esk4_0,esk2_0)
& s_e(esk2_0,esk3_0,esk2_0,esk5_0)
& ~ s_e(esk1_0,esk3_0,esk4_0,esk5_0)
& esk2_0 = midpoint(esk3_0,esk5_0)
& esk3_0 != esk5_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
fof(c_0_82,plain,
! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
inference(fof_simplification,[status(thm)],[aSatz5_8]) ).
fof(c_0_83,plain,
! [X259,X260,X261,X262,X263] :
( le(X259,X260,X261,X262)
| ~ s_t(X259,X260,X263)
| ~ s_e(X259,X263,X261,X262) ),
inference(variable_rename,[status(thm)],[c_0_77]) ).
cnf(c_0_84,plain,
( s_e(X2,X1,X3,X4)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,plain,
s_e(s(X1,X2),X1,X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_75])]) ).
fof(c_0_86,plain,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X12,X15,s(X15,X14)) ),
inference(fof_simplification,[status(thm)],[aSatz8_4]) ).
cnf(c_0_87,negated_conjecture,
esk2_0 = midpoint(esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_88,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz2_2]) ).
fof(c_0_89,plain,
! [X274,X275,X276,X277,X278,X279] :
( ~ le(X274,X275,X276,X277)
| ~ le(X276,X277,X278,X279)
| le(X274,X275,X278,X279) ),
inference(variable_rename,[status(thm)],[c_0_82]) ).
cnf(c_0_90,plain,
( le(X1,X2,X3,X4)
| ~ s_t(X1,X2,X5)
| ~ s_e(X1,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,plain,
s_e(X1,s(X1,X2),X2,X1),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_92,plain,
! [X12,X15,X14] :
( ( ~ s_r(X12,X15,X14)
| s_e(X12,X14,X12,s(X15,X14)) )
& ( s_r(X12,X15,X14)
| ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
inference(fof_simplification,[status(thm)],[d_Defn8_1]) ).
fof(c_0_93,plain,
! [X497,X498,X499] :
( ~ s_r(X497,X498,X499)
| s_r(X497,X498,s(X498,X499)) ),
inference(variable_rename,[status(thm)],[c_0_86]) ).
cnf(c_0_94,negated_conjecture,
s_m(esk3_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_41,c_0_87]) ).
fof(c_0_95,plain,
! [X12,X15,X14,X20] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X14)
| ~ s_e(X12,X15,X20,X15)
| s_e(X12,X14,X20,X14) ),
inference(fof_simplification,[status(thm)],[aSatz10_12b]) ).
fof(c_0_96,plain,
! [X79,X80,X81,X82] :
( ~ s_e(X79,X80,X81,X82)
| s_e(X81,X82,X79,X80) ),
inference(variable_rename,[status(thm)],[c_0_88]) ).
fof(c_0_97,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_98,plain,
( le(X1,X2,X5,X6)
| ~ le(X1,X2,X3,X4)
| ~ le(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_99,plain,
( le(X1,X2,X3,X1)
| ~ s_t(X1,X2,s(X1,X3)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
fof(c_0_100,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
inference(fof_simplification,[status(thm)],[aSatz2_14]) ).
fof(c_0_101,plain,
! [X905,X906,X907] :
( ( ~ s_r(X905,X906,X907)
| s_e(X905,X907,X905,s(X906,X907)) )
& ( s_r(X905,X906,X907)
| ~ s_e(X905,X907,X905,s(X906,X907)) ) ),
inference(variable_rename,[status(thm)],[c_0_92]) ).
cnf(c_0_102,plain,
( s_r(X1,X2,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,negated_conjecture,
s_r(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_104,negated_conjecture,
s(esk2_0,esk3_0) = esk5_0,
inference(spm,[status(thm)],[c_0_40,c_0_94]) ).
fof(c_0_105,plain,
! [X841,X842,X843,X844] :
( ~ s_r(X841,X842,X843)
| ~ s_r(X844,X842,X843)
| ~ s_e(X841,X842,X844,X842)
| s_e(X841,X843,X844,X843) ),
inference(variable_rename,[status(thm)],[c_0_95]) ).
cnf(c_0_106,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_107,negated_conjecture,
s_e(esk1_0,esk2_0,esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_108,plain,
! [X264,X265,X266,X267,X268,X269,X270,X271] :
( ~ le(X264,X265,X266,X267)
| ~ s_e(X264,X265,X268,X269)
| ~ s_e(X266,X267,X270,X271)
| le(X268,X269,X270,X271) ),
inference(variable_rename,[status(thm)],[c_0_97]) ).
cnf(c_0_109,plain,
( le(X1,X2,X3,X4)
| ~ le(X1,X2,s(X4,X3),X4) ),
inference(spm,[status(thm)],[c_0_98,c_0_75]) ).
cnf(c_0_110,plain,
le(X1,s(X1,X2),X2,X1),
inference(spm,[status(thm)],[c_0_99,c_0_72]) ).
fof(c_0_111,plain,
! [X113,X114,X115,X116] :
( ~ s_e(X113,X114,X115,X116)
| s_e(X114,X113,X116,X115) ),
inference(variable_rename,[status(thm)],[c_0_100]) ).
cnf(c_0_112,plain,
( s_e(X1,X3,X1,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_113,negated_conjecture,
s_r(esk1_0,esk2_0,esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_114,negated_conjecture,
s(esk2_0,esk5_0) = esk3_0,
inference(spm,[status(thm)],[c_0_39,c_0_104]) ).
cnf(c_0_115,plain,
( s_e(X1,X3,X4,X3)
| ~ s_r(X1,X2,X3)
| ~ s_r(X4,X2,X3)
| ~ s_e(X1,X2,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_116,negated_conjecture,
s_e(esk4_0,esk2_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_117,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_108]) ).
cnf(c_0_118,plain,
le(X1,X2,X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_39]) ).
cnf(c_0_119,plain,
( s_e(X2,X1,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_120,negated_conjecture,
s_e(esk1_0,esk5_0,esk1_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( s_e(esk4_0,X1,esk1_0,X1)
| ~ s_r(esk1_0,esk2_0,X1)
| ~ s_r(esk4_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
s_r(esk4_0,esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_123,plain,
( le(X1,X2,X3,X4)
| ~ s_e(X5,X6,X3,X4)
| ~ s_e(X6,X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
s_e(esk5_0,esk1_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
s_e(esk4_0,esk5_0,esk1_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_113]),c_0_122])]) ).
cnf(c_0_126,negated_conjecture,
( le(X1,X2,esk3_0,esk1_0)
| ~ s_e(esk1_0,esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
s_e(esk1_0,esk5_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_106,c_0_125]) ).
cnf(c_0_128,plain,
( le(X1,X2,X3,X4)
| ~ le(X1,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_118]) ).
cnf(c_0_129,negated_conjecture,
le(esk4_0,esk5_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_130,negated_conjecture,
s_e(esk5_0,esk1_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_84,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
le(esk4_0,esk5_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,negated_conjecture,
~ s_e(esk1_0,esk3_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_133,negated_conjecture,
( le(X1,X2,esk4_0,esk5_0)
| ~ s_e(esk1_0,esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_130]) ).
cnf(c_0_134,negated_conjecture,
~ le(esk1_0,esk3_0,esk4_0,esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_131]),c_0_132]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_120]),c_0_134]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO526+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:55:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.73/1.84 % Version : CSE_E---1.5
% 1.73/1.84 % Problem : theBenchmark.p
% 1.73/1.84 % Proof found
% 1.73/1.84 % SZS status Theorem for theBenchmark.p
% 1.73/1.84 % SZS output start Proof
% See solution above
% 1.73/1.86 % Total time : 1.247000 s
% 1.73/1.86 % SZS output end Proof
% 1.73/1.86 % Total time : 1.252000 s
%------------------------------------------------------------------------------