%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO523+1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 : Tue May 5 04:21:27 PM UTC 2026
% Result : Theorem 15.59s 10.56s
% Output : CNFRefutation 15.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 115 ( 31 unt; 0 def)
% Number of atoms : 269 ( 111 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 280 ( 126 ~; 138 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 284 ( 4 sgn 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(aSideReflect,axiom,
! [X12,X15,X14,X29] :
( ~ sameside(X12,X15,X14)
| sameside(s(X29,X12),s(X29,X15),s(X29,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSideReflect) ).
fof(aSatz7_10b,axiom,
! [X12,X13] :
( s(X12,X13) = X13
| X13 != X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10b) ).
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(aSatz7_19,axiom,
! [X12,X15,X13] :
( s(X12,s(X15,X13)) != s(X15,s(X12,X13))
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_19) ).
fof(aSatz6_4b,axiom,
! [X12,X13,X15] :
( sameside(X12,X13,X15)
| ~ s_col(X12,X13,X15)
| s_t(X12,X13,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4b) ).
fof(aSatz3_3,axiom,
! [X20,X21] : s_t(X20,X20,X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_3) ).
fof(aSatz4_12b,axiom,
! [X12,X15] : s_col(X12,X15,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
fof(aSatz10_2b,axiom,
! [X12,X15,X13,X37] :
( ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| ~ perp(X12,X15,X13,X37)
| X37 = reflect(X12,X15,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| X13 != X37
| X37 = reflect(X12,X15,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_2b) ).
fof(aSatz7_3a,axiom,
! [X12,X29] :
( ~ s_m(X12,X29,X12)
| X29 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3a) ).
fof(aSatz3_5b,axiom,
! [X12,X15,X17,X14] :
( ~ s_t(X12,X15,X17)
| ~ s_t(X15,X14,X17)
| s_t(X12,X14,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_5b) ).
fof(d_Defn7_1,axiom,
! [X12,X29,X15] :
( ( ~ s_m(X12,X29,X15)
| s_t(X12,X29,X15) )
& ( ~ s_m(X12,X29,X15)
| s_e(X29,X12,X29,X15) )
& ( ~ s_t(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| s_m(X12,X29,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
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(aSatz10_4,conjecture,
! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_4) ).
fof(aSatz3_4,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X15,X12,X14)
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_4) ).
fof(aSatz3_1,axiom,
! [X12,X15] : s_t(X12,X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_1) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
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(aExtPerp4,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aExtPerp4) ).
fof(aSatz7_10a,axiom,
! [X12,X13] :
( s(X12,X13) != X13
| X13 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10a) ).
fof(c_0_22,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_23,plain,
! [X12,X15,X14,X29] :
( ~ sameside(X12,X15,X14)
| sameside(s(X29,X12),s(X29,X15),s(X29,X14)) ),
inference(fof_simplification,[status(thm)],[aSideReflect]) ).
fof(c_0_24,plain,
! [X1169,X1170,X1171] :
( ( ~ sameside(X1169,X1170,X1171)
| s_col(X1169,X1170,X1171) )
& ( ~ sameside(X1169,X1170,X1171)
| ~ s_t(X1169,X1170,X1171) ) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X1536,X1537,X1538,X1539] :
( ~ sameside(X1536,X1537,X1538)
| sameside(s(X1539,X1536),s(X1539,X1537),s(X1539,X1538)) ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_26,plain,
! [X1276,X1277] :
( s(X1276,X1277) = X1277
| X1277 != X1276 ),
inference(variable_rename,[status(thm)],[aSatz7_10b]) ).
cnf(c_0_27,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
( sameside(s(X4,X1),s(X4,X2),s(X4,X3))
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( s(X1,X2) = X2
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(s(X4,X1),s(X4,X2),s(X4,X3)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[c_0_29]) ).
fof(c_0_32,plain,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
inference(fof_simplification,[status(thm)],[aSatz7_6]) ).
cnf(c_0_33,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(s(X3,X1),s(X3,X2),X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_34,plain,
! [X1265,X1266] : s(X1265,s(X1265,X1266)) = X1266,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_35,plain,
! [X1262,X1263,X1264] :
( ~ s_m(X1262,X1263,X1264)
| X1264 = s(X1263,X1262) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X1456,X1457] : s_m(X1456,midpoint(X1456,X1457),X1457),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
fof(c_0_37,plain,
! [X1306,X1307,X1308] :
( s(X1306,s(X1307,X1308)) != s(X1307,s(X1306,X1308))
| X1306 = X1307 ),
inference(variable_rename,[status(thm)],[aSatz7_19]) ).
cnf(c_0_38,plain,
( ~ sameside(X1,X2,X1)
| ~ s_t(X1,s(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
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]) ).
cnf(c_0_42,plain,
( X1 = X2
| s(X1,s(X2,X3)) != s(X2,s(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_43,plain,
! [X12,X13,X15] :
( sameside(X12,X13,X15)
| ~ s_col(X12,X13,X15)
| s_t(X12,X13,X15) ),
inference(fof_simplification,[status(thm)],[aSatz6_4b]) ).
cnf(c_0_44,plain,
( ~ sameside(X1,s(X1,X2),X1)
| ~ s_t(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( X1 = X2
| s(X1,s(X2,X1)) != s(X2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
fof(c_0_47,plain,
! [X979,X980] : s_t(X979,X979,X980),
inference(variable_rename,[status(thm)],[aSatz3_3]) ).
fof(c_0_48,plain,
! [X1172,X1173,X1174] :
( sameside(X1172,X1173,X1174)
| ~ s_col(X1172,X1173,X1174)
| s_t(X1172,X1173,X1174) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_49,plain,
! [X1060,X1061] : s_col(X1060,X1061,X1060),
inference(variable_rename,[status(thm)],[aSatz4_12b]) ).
fof(c_0_50,plain,
! [X12,X15,X13,X37] :
( ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| ~ perp(X12,X15,X13,X37)
| X37 = reflect(X12,X15,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| X13 != X37
| X37 = reflect(X12,X15,X13) ) ),
inference(fof_simplification,[status(thm)],[aSatz10_2b]) ).
fof(c_0_51,plain,
! [X12,X29] :
( ~ s_m(X12,X29,X12)
| X29 = X12 ),
inference(fof_simplification,[status(thm)],[aSatz7_3a]) ).
fof(c_0_52,plain,
! [X12,X15,X17,X14] :
( ~ s_t(X12,X15,X17)
| ~ s_t(X15,X14,X17)
| s_t(X12,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz3_5b]) ).
cnf(c_0_53,plain,
( ~ sameside(midpoint(X1,X2),X2,midpoint(X1,X2))
| ~ s_t(midpoint(X1,X2),X1,midpoint(X1,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,plain,
( midpoint(X1,X2) = X1
| s(X1,X2) != X2 ),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_55,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( sameside(X1,X2,X3)
| s_t(X1,X2,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,plain,
s_col(X1,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_58,plain,
! [X12,X29,X15] :
( ( ~ s_m(X12,X29,X15)
| s_t(X12,X29,X15) )
& ( ~ s_m(X12,X29,X15)
| s_e(X29,X12,X29,X15) )
& ( ~ s_t(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| s_m(X12,X29,X15) ) ),
inference(fof_simplification,[status(thm)],[d_Defn7_1]) ).
fof(c_0_59,plain,
! [X1303,X1304,X1305] :
( s(X1303,X1304) != s(X1305,X1304)
| X1303 = X1305 ),
inference(variable_rename,[status(thm)],[aSatz7_18]) ).
fof(c_0_60,plain,
! [X1659,X1660,X1661,X1662] :
( ( X1659 = X1660
| ~ s_col(X1659,X1660,midpoint(X1661,X1662))
| ~ perp(X1659,X1660,X1661,X1662)
| X1662 = reflect(X1659,X1660,X1661) )
& ( X1659 = X1660
| ~ s_col(X1659,X1660,midpoint(X1661,X1662))
| X1661 != X1662
| X1662 = reflect(X1659,X1660,X1661) ) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_61,plain,
! [X1252,X1253] :
( ~ s_m(X1252,X1253,X1252)
| X1253 = X1252 ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_62,negated_conjecture,
~ ! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
inference(assume_negation,[status(cth)],[aSatz10_4]) ).
fof(c_0_63,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X15,X12,X14)
| X12 = X15 ),
inference(fof_simplification,[status(thm)],[aSatz3_4]) ).
fof(c_0_64,plain,
! [X996,X997,X998,X999] :
( ~ s_t(X996,X997,X998)
| ~ s_t(X997,X999,X998)
| s_t(X996,X999,X998) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
cnf(c_0_65,plain,
( s(X1,X2) != X2
| ~ sameside(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_66,plain,
( sameside(X1,X2,X1)
| s_t(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_67,plain,
! [X974,X975] : s_t(X974,X975,X975),
inference(variable_rename,[status(thm)],[aSatz3_1]) ).
fof(c_0_68,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
fof(c_0_69,plain,
! [X1712,X1713,X1714] :
( ( ~ s_m(X1712,X1713,X1714)
| s_t(X1712,X1713,X1714) )
& ( ~ s_m(X1712,X1713,X1714)
| s_e(X1713,X1712,X1713,X1714) )
& ( ~ s_t(X1712,X1713,X1714)
| ~ s_e(X1713,X1712,X1713,X1714)
| s_m(X1712,X1713,X1714) ) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
cnf(c_0_70,plain,
( X1 = X3
| s(X1,X2) != s(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
( X1 = X2
| X4 = reflect(X1,X2,X3)
| ~ s_col(X1,X2,midpoint(X3,X4))
| X3 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( X2 = X1
| ~ s_m(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_73,plain,
! [X1656,X1657,X1658] :
( ( X1656 = X1657
| s_col(X1656,X1657,midpoint(X1658,reflect(X1656,X1657,X1658))) )
& ( X1656 = X1657
| X1658 = reflect(X1656,X1657,X1658)
| perp(X1656,X1657,X1658,reflect(X1656,X1657,X1658)) ) ),
inference(variable_rename,[status(thm)],[aSatz10_2a]) ).
fof(c_0_74,negated_conjecture,
( esk1_0 != esk2_0
& reflect(esk1_0,esk2_0,esk3_0) = esk4_0
& reflect(esk1_0,esk2_0,esk4_0) != esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
fof(c_0_75,plain,
! [X981,X982,X983] :
( ~ s_t(X981,X982,X983)
| ~ s_t(X982,X981,X983)
| X981 = X982 ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
cnf(c_0_76,plain,
( s_t(X1,X4,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_77,plain,
( s_t(X1,X2,X1)
| s(X1,X2) != X2 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_78,plain,
s_t(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_79,plain,
! [X976,X977,X978] :
( ~ s_t(X976,X977,X978)
| s_t(X978,X977,X976) ),
inference(variable_rename,[status(thm)],[c_0_68]) ).
cnf(c_0_80,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_81,plain,
( X1 = X2
| s(X1,s(X2,X3)) != X3 ),
inference(spm,[status(thm)],[c_0_70,c_0_39]) ).
cnf(c_0_82,plain,
( reflect(X1,X2,X3) = X3
| X1 = X2
| ~ s_col(X1,X2,midpoint(X3,X3)) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_83,plain,
midpoint(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_72,c_0_41]) ).
cnf(c_0_84,plain,
( X1 = X2
| s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_85,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,plain,
( X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_88,plain,
( s_t(X1,X2,X3)
| s(X3,X2) != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_89,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_90,plain,
s_t(X1,midpoint(X1,X2),X2),
inference(spm,[status(thm)],[c_0_80,c_0_41]) ).
fof(c_0_91,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
inference(fof_simplification,[status(thm)],[aExtPerp4]) ).
cnf(c_0_92,plain,
midpoint(s(X1,X2),X2) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_45])]) ).
cnf(c_0_93,plain,
( reflect(X1,X2,X3) = X3
| X1 = X2
| ~ s_col(X1,X2,X3) ),
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_94,negated_conjecture,
s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_95,plain,
( X1 = X2
| s(X3,X1) != X1
| ~ s_t(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,plain,
s_t(X1,midpoint(X2,X1),X2),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
fof(c_0_97,plain,
! [X1499,X1500,X1501,X1502] :
( ~ perp(X1499,X1500,X1501,X1502)
| perp(X1499,X1500,X1502,X1501) ),
inference(variable_rename,[status(thm)],[c_0_91]) ).
cnf(c_0_98,plain,
( X1 = X2
| X3 = reflect(X1,X2,X3)
| perp(X1,X2,X3,reflect(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_99,plain,
( X1 = X2
| X4 = reflect(X1,X2,X3)
| ~ s_col(X1,X2,midpoint(X3,X4))
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_100,plain,
midpoint(X1,X2) = midpoint(X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_45]) ).
cnf(c_0_101,negated_conjecture,
reflect(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)) = midpoint(esk3_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_86]) ).
cnf(c_0_102,plain,
( midpoint(X1,X2) = X2
| s(X1,X2) != X2 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_103,plain,
! [X1274,X1275] :
( s(X1274,X1275) != X1275
| X1275 = X1274 ),
inference(variable_rename,[status(thm)],[aSatz7_10a]) ).
cnf(c_0_104,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_105,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_85]),c_0_86]) ).
cnf(c_0_106,plain,
( X1 = reflect(X2,X3,X4)
| X2 = X3
| ~ perp(X2,X3,X4,X1)
| ~ s_col(X2,X3,midpoint(X1,X4)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_108,negated_conjecture,
( reflect(esk1_0,esk2_0,esk4_0) = esk4_0
| s(esk3_0,esk4_0) != esk4_0 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_109,plain,
( X2 = X1
| s(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
~ perp(esk1_0,esk2_0,esk4_0,esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_94]),c_0_107]),c_0_86]) ).
cnf(c_0_112,negated_conjecture,
s(esk3_0,esk4_0) != esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_113,negated_conjecture,
esk4_0 = esk3_0,
inference(sr,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113]),c_0_31]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO523+1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n008.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:01:13 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 15.59/10.56 % Version : CSE_E---1.7
% 15.59/10.56 % Problem : theBenchmark.p
% 15.59/10.56 % SZS status Theorem for theBenchmark.p
% 15.59/10.56 % SZS output start CNFRefutation
% See solution above
% 15.70/10.61 % Total time : 8.444s
%------------------------------------------------------------------------------