TSTP Solution File: GEO497+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:35:07 EDT 2023
% Result : Theorem 0.21s 0.56s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 113 ( 53 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 126 ( 56 ~; 58 |; 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 : 105 ( 6 sgn; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz6_11a,conjecture,
! [X27,X12,X15,X14] :
( ( X27 = X12
| X15 = X14
| sameside(insert(X15,X14,X12,X27),X12,X27) )
& ( X27 = X12
| X15 = X14
| s_e(X12,insert(X15,X14,X12,X27),X15,X14) ) ),
file('/export/starexec/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',aSatz6_11a) ).
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/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',d_insert) ).
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/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',aA4) ).
fof(aSatz6_2a,axiom,
! [X12,X13,X15,X14] :
( X12 = X13
| X15 = X13
| X14 = X13
| ~ s_t(X12,X13,X14)
| ~ s_t(X15,X13,X14)
| sameside(X12,X13,X15) ),
file('/export/starexec/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',aSatz6_2a) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',aSatz3_2) ).
fof(aSatz3_14b,axiom,
! [X15,X12] : X15 != ext(X12,X15,alpha,gamma),
file('/export/starexec/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',aSatz3_14b) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',aSatz2_2) ).
fof(aA3,axiom,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p',aA3) ).
fof(c_0_8,negated_conjecture,
~ ! [X27,X12,X15,X14] :
( ( X27 = X12
| X15 = X14
| sameside(insert(X15,X14,X12,X27),X12,X27) )
& ( X27 = X12
| X15 = X14
| s_e(X12,insert(X15,X14,X12,X27),X15,X14) ) ),
inference(assume_negation,[status(cth)],[aSatz6_11a]) ).
fof(c_0_9,negated_conjecture,
( ( esk1_0 != esk2_0
| esk1_0 != esk2_0 )
& ( esk3_0 != esk4_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 )
& ( esk1_0 != esk2_0
| esk3_0 != esk4_0 )
& ( esk3_0 != esk4_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 )
& ( esk1_0 != esk2_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) )
& ( ~ 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) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_10,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]) ).
cnf(c_0_11,negated_conjecture,
( ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X47,X48,X49,X50] :
( s_t(X47,X48,ext(X47,X48,X49,X50))
& s_e(X48,ext(X47,X48,X49,X50),X49,X50) ),
inference(variable_rename,[status(thm)],[aA4]) ).
fof(c_0_14,plain,
! [X12,X13,X15,X14] :
( X12 = X13
| X15 = X13
| X14 = X13
| ~ s_t(X12,X13,X14)
| ~ s_t(X15,X13,X14)
| sameside(X12,X13,X15) ),
inference(fof_simplification,[status(thm)],[aSatz6_2a]) ).
cnf(c_0_15,negated_conjecture,
( ~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0)
| ~ s_e(esk2_0,ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk3_0,esk4_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_16,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X292,X293,X294,X295] :
( X292 = X293
| X294 = X293
| X295 = X293
| ~ s_t(X292,X293,X295)
| ~ s_t(X294,X293,X295)
| sameside(X292,X293,X294) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( esk1_0 != esk2_0
| esk1_0 != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_19,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
cnf(c_0_20,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_15,c_0_16])]) ).
cnf(c_0_21,plain,
( X1 = X2
| X3 = X2
| X4 = X2
| sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_t(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
esk2_0 != esk1_0,
inference(cn,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X114,X115,X116] :
( ~ s_t(X114,X115,X116)
| s_t(X116,X115,X114) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
| esk2_0 = X1
| ~ s_t(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,X1)
| ~ s_t(esk1_0,esk2_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X148,X149] : X148 != ext(X149,X148,alpha,gamma),
inference(variable_rename,[status(thm)],[aSatz3_14b]) ).
fof(c_0_28,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_29,negated_conjecture,
( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
| ext(esk1_0,esk2_0,X1,X2) = esk2_0
| ~ s_t(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,ext(esk1_0,esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
s_t(ext(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_31,plain,
X1 != ext(X2,X1,alpha,gamma),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[aA3]) ).
fof(c_0_33,plain,
! [X68,X69,X70,X71] :
( ~ s_e(X68,X69,X70,X71)
| s_e(X70,X71,X68,X69) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
fof(c_0_35,plain,
! [X44,X45,X46] :
( ~ s_e(X44,X45,X46,X46)
| X44 = X45 ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
s_e(esk2_0,esk2_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_16,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( esk3_0 != esk4_0
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,plain,
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
s_e(esk3_0,esk4_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
esk4_0 != esk3_0,
inference(cn,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n015.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 : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 07:02:31 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.5BTFxjmyL3/E---3.1_16244.p
% 0.21/0.56 # Version: 3.1pre001
% 0.21/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56 # Starting sh5l with 300s (1) cores
% 0.21/0.56 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16321 completed with status 0
% 0.21/0.56 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56 # No SInE strategy applied
% 0.21/0.56 # Search class: FGHSM-FFLF33-MFFFFFNN
% 0.21/0.56 # partial match(2): FGHSM-FFLM31-MFFFFFNN
% 0.21/0.56 # Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.56 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 541s (1) cores
% 0.21/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.56 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.21/0.56 # Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.21/0.56 # Starting U----_213g_00_B10_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.56 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 16328 completed with status 0
% 0.21/0.56 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.21/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56 # No SInE strategy applied
% 0.21/0.56 # Search class: FGHSM-FFLF33-MFFFFFNN
% 0.21/0.56 # partial match(2): FGHSM-FFLM31-MFFFFFNN
% 0.21/0.56 # Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.56 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 541s (1) cores
% 0.21/0.56 # Preprocessing time : 0.003 s
% 0.21/0.56 # Presaturation interreduction done
% 0.21/0.56
% 0.21/0.56 # Proof found!
% 0.21/0.56 # SZS status Theorem
% 0.21/0.56 # SZS output start CNFRefutation
% See solution above
% 0.21/0.56 # Parsed axioms : 85
% 0.21/0.56 # Removed by relevancy pruning/SinE : 0
% 0.21/0.56 # Initial clauses : 134
% 0.21/0.56 # Removed in clause preprocessing : 1
% 0.21/0.56 # Initial clauses in saturation : 133
% 0.21/0.56 # Processed clauses : 409
% 0.21/0.56 # ...of these trivial : 1
% 0.21/0.56 # ...subsumed : 69
% 0.21/0.56 # ...remaining for further processing : 339
% 0.21/0.56 # Other redundant clauses eliminated : 4
% 0.21/0.56 # Clauses deleted for lack of memory : 0
% 0.21/0.56 # Backward-subsumed : 4
% 0.21/0.56 # Backward-rewritten : 47
% 0.21/0.56 # Generated clauses : 1220
% 0.21/0.56 # ...of the previous two non-redundant : 1096
% 0.21/0.56 # ...aggressively subsumed : 0
% 0.21/0.56 # Contextual simplify-reflections : 3
% 0.21/0.56 # Paramodulations : 1214
% 0.21/0.56 # Factorizations : 2
% 0.21/0.56 # NegExts : 0
% 0.21/0.56 # Equation resolutions : 4
% 0.21/0.56 # Total rewrite steps : 325
% 0.21/0.56 # Propositional unsat checks : 0
% 0.21/0.56 # Propositional check models : 0
% 0.21/0.56 # Propositional check unsatisfiable : 0
% 0.21/0.56 # Propositional clauses : 0
% 0.21/0.56 # Propositional clauses after purity: 0
% 0.21/0.56 # Propositional unsat core size : 0
% 0.21/0.56 # Propositional preprocessing time : 0.000
% 0.21/0.56 # Propositional encoding time : 0.000
% 0.21/0.56 # Propositional solver time : 0.000
% 0.21/0.56 # Success case prop preproc time : 0.000
% 0.21/0.56 # Success case prop encoding time : 0.000
% 0.21/0.56 # Success case prop solver time : 0.000
% 0.21/0.56 # Current number of processed clauses : 162
% 0.21/0.56 # Positive orientable unit clauses : 23
% 0.21/0.56 # Positive unorientable unit clauses: 0
% 0.21/0.56 # Negative unit clauses : 13
% 0.21/0.56 # Non-unit-clauses : 126
% 0.21/0.56 # Current number of unprocessed clauses: 938
% 0.21/0.56 # ...number of literals in the above : 3549
% 0.21/0.56 # Current number of archived formulas : 0
% 0.21/0.56 # Current number of archived clauses : 174
% 0.21/0.56 # Clause-clause subsumption calls (NU) : 14599
% 0.21/0.56 # Rec. Clause-clause subsumption calls : 8812
% 0.21/0.56 # Non-unit clause-clause subsumptions : 63
% 0.21/0.56 # Unit Clause-clause subsumption calls : 858
% 0.21/0.56 # Rewrite failures with RHS unbound : 0
% 0.21/0.56 # BW rewrite match attempts : 138
% 0.21/0.56 # BW rewrite match successes : 4
% 0.21/0.56 # Condensation attempts : 0
% 0.21/0.56 # Condensation successes : 0
% 0.21/0.56 # Termbank termtop insertions : 26043
% 0.21/0.56
% 0.21/0.56 # -------------------------------------------------
% 0.21/0.56 # User time : 0.048 s
% 0.21/0.56 # System time : 0.007 s
% 0.21/0.56 # Total time : 0.055 s
% 0.21/0.56 # Maximum resident set size: 2456 pages
% 0.21/0.56
% 0.21/0.56 # -------------------------------------------------
% 0.21/0.56 # User time : 0.217 s
% 0.21/0.56 # System time : 0.029 s
% 0.21/0.56 # Total time : 0.246 s
% 0.21/0.56 # Maximum resident set size: 1836 pages
% 0.21/0.56 % E---3.1 exiting
%------------------------------------------------------------------------------