%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO497+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:30:16 PM UTC 2026
% Result : Theorem 15.34s 17.48s
% Output : CNFRefutation 15.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 116 ( 56 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 127 ( 55 ~; 60 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 119 ( 7 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz6_11a,conjecture,
! [X27,X12,X15,X14] :
( ( s_e(X12,insert(X15,X14,X12,X27),X15,X14)
| X15 = X14
| X27 = X12 )
& ( sameside(insert(X15,X14,X12,X27),X12,X27)
| X15 = X14
| X27 = X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_11a) ).
fof(aSatz6_2a,axiom,
! [X12,X13,X15,X14] :
( sameside(X12,X13,X15)
| ~ s_t(X15,X13,X14)
| ~ s_t(X12,X13,X14)
| X14 = X13
| X15 = X13
| X12 = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_2a) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( s_t(X14,X15,X12)
| ~ s_t(X12,X15,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
fof(d_insert,axiom,
! [X12,X15,X20,X22] : insert(X12,X15,X20,X22) = ext(ext(X22,X20,alpha,gamma),X20,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_insert) ).
fof(aA4,axiom,
! [X1,X2,X7,X4] :
( s_e(X2,ext(X1,X2,X7,X4),X7,X4)
& s_t(X1,X2,ext(X1,X2,X7,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( s_e(X14,X17,X12,X15)
| ~ s_e(X12,X15,X14,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(aSatz3_14b,axiom,
! [X15,X12] : X15 != ext(X12,X15,alpha,gamma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(aA3,axiom,
! [X1,X2,X3] :
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA3) ).
fof(c_0_8,negated_conjecture,
~ ! [X27,X12,X15,X14] :
( ( s_e(X12,insert(X15,X14,X12,X27),X15,X14)
| X15 = X14
| X27 = X12 )
& ( sameside(insert(X15,X14,X12,X27),X12,X27)
| X15 = X14
| X27 = X12 ) ),
inference(assume_negation,[status(cth)],[aSatz6_11a]) ).
fof(c_0_9,plain,
! [X12,X13,X15,X14] :
( sameside(X12,X13,X15)
| ~ s_t(X15,X13,X14)
| ~ s_t(X12,X13,X14)
| X14 = X13
| X15 = X13
| X12 = X13 ),
inference(fof_simplification,[status(thm)],[aSatz6_2a]) ).
fof(c_0_10,plain,
! [X12,X15,X14] :
( s_t(X14,X15,X12)
| ~ s_t(X12,X15,X14) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
fof(c_0_11,negated_conjecture,
( ( ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0)
| ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0) )
& ( ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0)
| esk3_0 != esk4_0 )
& ( ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0)
| esk1_0 != esk2_0 )
& ( esk3_0 != esk4_0
| ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0) )
& ( esk3_0 != esk4_0
| esk3_0 != esk4_0 )
& ( esk3_0 != esk4_0
| esk1_0 != esk2_0 )
& ( esk1_0 != esk2_0
| ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0) )
& ( esk1_0 != esk2_0
| esk3_0 != esk4_0 )
& ( esk1_0 != esk2_0
| esk1_0 != esk2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_12,plain,
! [X326,X327,X328,X329] : insert(X326,X327,X328,X329) = ext(ext(X329,X328,alpha,gamma),X328,X326,X327),
inference(variable_rename,[status(thm)],[d_insert]) ).
fof(c_0_13,plain,
! [X292,X293,X294,X295] :
( sameside(X292,X293,X294)
| ~ s_t(X294,X293,X295)
| ~ s_t(X292,X293,X295)
| X295 = X293
| X294 = X293
| X292 = X293 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
fof(c_0_14,plain,
! [X47,X48,X49,X50] :
( s_e(X48,ext(X47,X48,X49,X50),X49,X50)
& s_t(X47,X48,ext(X47,X48,X49,X50)) ),
inference(variable_rename,[status(thm)],[aA4]) ).
fof(c_0_15,plain,
! [X114,X115,X116] :
( s_t(X116,X115,X114)
| ~ s_t(X114,X115,X116) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_16,plain,
! [X12,X15,X14,X17] :
( s_e(X14,X17,X12,X15)
| ~ s_e(X12,X15,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz2_2]) ).
cnf(c_0_17,negated_conjecture,
( ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0)
| ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( ~ s_t(X3,X2,X4)
| ~ s_t(X1,X2,X4)
| sameside(X1,X2,X3)
| X4 = X2
| X3 = X2
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( ~ s_t(X1,X2,X3)
| s_t(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X15,X12] : X15 != ext(X12,X15,alpha,gamma),
inference(fof_simplification,[status(thm)],[aSatz3_14b]) ).
fof(c_0_23,plain,
! [X68,X69,X70,X71] :
( s_e(X70,X71,X68,X69)
| ~ s_e(X68,X69,X70,X71) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).
cnf(c_0_24,negated_conjecture,
( ~ s_e(esk2_0,ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk3_0,esk4_0)
| ~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_25,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,plain,
( ~ s_t(X5,X2,ext(X1,X2,X3,X4))
| sameside(X5,X2,X1)
| X2 = X1
| X5 = X2
| ext(X1,X2,X3,X4) = X2 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
s_t(ext(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
fof(c_0_28,plain,
! [X148,X149] : X148 != ext(X149,X148,alpha,gamma),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_22])]) ).
cnf(c_0_29,negated_conjecture,
( esk1_0 != esk2_0
| esk1_0 != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_30,plain,
! [X1,X2,X3] :
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
inference(fof_simplification,[status(thm)],[aA3]) ).
cnf(c_0_31,plain,
( ~ s_e(X1,X2,X3,X4)
| s_e(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_33,plain,
( sameside(ext(ext(X1,X2,X3,X4),X2,X5,X6),X2,X1)
| X2 = X1
| ext(X1,X2,X3,X4) = X2
| ext(ext(X1,X2,X3,X4),X2,X5,X6) = X2 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
X1 != ext(X2,X1,alpha,gamma),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
esk2_0 != esk1_0,
inference(cn,[status(thm)],[c_0_29]) ).
fof(c_0_36,plain,
! [X44,X45,X46] :
( X44 = X45
| ~ s_e(X44,X45,X46,X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
cnf(c_0_37,plain,
s_e(X1,X2,X3,ext(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_38,negated_conjecture,
ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( esk3_0 != esk4_0
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,plain,
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
s_e(esk3_0,esk4_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
esk4_0 != esk3_0,
inference(cn,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO497+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/15.39 % Computer : n008.cluster.edu
% 0.13/15.39 % Model : x86_64 x86_64
% 0.13/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.39 % Memory : 8046.5625MB
% 0.13/15.39 % OS : Linux 6.8.0-71-generic
% 0.13/15.39 % CPULimit : 300
% 0.13/15.39 % WCLimit : 300
% 0.13/15.39 % DateTime : Sun Sep 20 16:54:41 UTC 2026
% 0.13/15.40 % CPUTime :
% 0.13/15.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/15.44 Running first-order theorem proving
% 0.16/15.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.34/17.48 % Version: 3.5.1
% 15.34/17.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 15.34/17.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.34/17.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.34/17.48 % Starting new_bool_3 with 300s (1) cores
% 15.34/17.48 % Starting new_bool_1 with 300s (1) cores
% 15.34/17.48 % Starting sh5l with 300s (1) cores
% 15.34/17.48 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3241990 completed with status 0
% 15.34/17.48 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 15.34/17.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 15.34/17.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.34/17.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.34/17.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.34/17.48 % No SInE strategy applied
% 15.34/17.48 % Search class: FGHSM-FFLF33-MFFFFFNN
% 15.34/17.48 % partial match(2): FGHSM-FFLM31-MFFFFFNN
% 15.34/17.48 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 15.34/17.48 % Starting SubtermCWHack with 136s (1) cores
% 15.34/17.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 15.34/17.48 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 15.34/17.48 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 15.34/17.48 % Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 15.34/17.48 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3241998 completed with status 0
% 15.34/17.48 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 15.34/17.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 15.34/17.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.34/17.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.34/17.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.34/17.48 % No SInE strategy applied
% 15.34/17.48 % Search class: FGHSM-FFLF33-MFFFFFNN
% 15.34/17.48 % partial match(2): FGHSM-FFLM31-MFFFFFNN
% 15.34/17.48 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 15.34/17.48 % Starting SubtermCWHack with 136s (1) cores
% 15.34/17.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 15.34/17.48 % Preprocessing time : 0.003 s
% 15.34/17.48 % Presaturation interreduction done
% 15.34/17.48
% 15.34/17.48 % Proof found!
% 15.34/17.48 % SZS status Theorem
% 15.34/17.48 % SZS output start CNFRefutation
% See solution above
% 15.34/17.48 % Parsed axioms : 85
% 15.34/17.48 % Removed by relevancy pruning/SinE : 0
% 15.34/17.48 % Initial clauses : 134
% 15.34/17.48 % Removed in clause preprocessing : 1
% 15.34/17.48 % Initial clauses in saturation : 133
% 15.34/17.48 % Processed clauses : 8551
% 15.34/17.48 % ...of these trivial : 1336
% 15.34/17.48 % ...subsumed : 3905
% 15.34/17.48 % ...remaining for further processing : 3310
% 15.34/17.48 % Other redundant clauses eliminated : 4
% 15.34/17.48 % Clauses deleted for lack of memory : 0
% 15.34/17.48 % Backward-subsumed : 326
% 15.34/17.48 % Backward-rewritten : 434
% 15.34/17.48 % Generated clauses : 102097
% 15.34/17.48 % ...of the previous two non-redundant : 83697
% 15.34/17.48 % ...aggressively subsumed : 0
% 15.34/17.48 % Contextual simplify-reflections : 4
% 15.34/17.48 % Paramodulations : 102079
% 15.34/17.48 % Factorizations : 14
% 15.34/17.48 % NegExts : 0
% 15.34/17.48 % Equation resolutions : 4
% 15.34/17.48 % Disequality decompositions : 0
% 15.34/17.48 % Total rewrite steps : 23225
% 15.34/17.48 % ...of those cached : 19370
% 15.34/17.48 % Propositional unsat checks : 0
% 15.34/17.48 % Propositional check models : 0
% 15.34/17.48 % Propositional check unsatisfiable : 0
% 15.34/17.48 % Propositional clauses : 0
% 15.34/17.48 % Propositional clauses after purity: 0
% 15.34/17.48 % Propositional unsat core size : 0
% 15.34/17.48 % Propositional preprocessing time : 0.000
% 15.34/17.48 % Propositional encoding time : 0.000
% 15.34/17.48 % Propositional solver time : 0.000
% 15.34/17.48 % Success case prop preproc time : 0.000
% 15.34/17.48 % Success case prop encoding time : 0.000
% 15.34/17.48 % Success case prop solver time : 0.000
% 15.34/17.48 % Current number of processed clauses : 2424
% 15.34/17.48 % Positive orientable unit clauses : 860
% 15.34/17.48 % Positive unorientable unit clauses: 0
% 15.34/17.48 % Negative unit clauses : 324
% 15.34/17.48 % Non-unit-clauses : 1240
% 15.34/17.48 % Current number of unprocessed clauses: 73991
% 15.34/17.48 % ...number of literals in the above : 193418
% 15.34/17.48 % Current number of archived formulas : 0
% 15.34/17.48 % Current number of archived clauses : 883
% 15.34/17.48 % Clause-clause subsumption calls (NU) : 229598
% 15.34/17.48 % Rec. Clause-clause subsumption calls : 141491
% 15.34/17.48 % Non-unit clause-clause subsumptions : 2926
% 15.34/17.48 % Unit Clause-clause subsumption calls : 93812
% 15.34/17.48 % Rewrite failures with RHS unbound : 0
% 15.34/17.48 % BW rewrite match attempts : 16410
% 15.34/17.48 % BW rewrite match successes : 222
% 15.34/17.48 % Condensation attempts : 0
% 15.34/17.48 % Condensation successes : 0
% 15.34/17.48 % Termbank termtop insertions : 1935213
% 15.34/17.48 % Search garbage collected termcells : 910
% 15.34/17.48
% 15.34/17.48 % -------------------------------------------------
% 15.34/17.48 % User time : 1.905 s
% 15.34/17.48 % System time : 0.069 s
% 15.34/17.48 % Total time : 1.974 s
% 15.34/17.48 % Maximum resident set size: 4296 pages
% 15.34/17.48
% 15.34/17.48 % -------------------------------------------------
% 15.34/17.48 % User time : 9.405 s
% 15.34/17.48 % System time : 0.369 s
% 15.34/17.48 % Total time : 9.774 s
% 15.34/17.48 % Maximum resident set size: 4864 pages
% 15.34/17.48 % E exiting
%------------------------------------------------------------------------------