TSTP Solution File: GEO088-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO088-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 : Mon May 20 20:00:33 EDT 2024
% Result : Unsatisfiable 47.37s 6.47s
% Output : CNFRefutation 47.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 57 ( 17 unt; 28 nHn; 48 RR)
% Number of literals : 145 ( 0 equ; 63 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(end_point_defn_15,axiom,
( part_of(ax0_sk3(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_15) ).
cnf(theorem_2_10_70,negated_conjecture,
~ end_point(sk16,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_70) ).
cnf(part_of_defn_2,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(theorem_2_10_69,negated_conjecture,
incident_c(sk16,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_69) ).
cnf(end_point_defn_16,axiom,
( part_of(ax0_sk4(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_16) ).
cnf(end_point_defn_14,axiom,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
cnf(end_point_defn_17,axiom,
( incident_c(X1,ax0_sk3(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_17) ).
cnf(theorem_2_10_68,negated_conjecture,
end_point(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_68) ).
cnf(part_of_defn_3,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(theorem_2_10_67,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10_67) ).
cnf(end_point_defn_18,axiom,
( incident_c(X1,ax0_sk4(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_18) ).
cnf(end_point_defn_20,axiom,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_20) ).
cnf(end_point_defn_19,axiom,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_19) ).
cnf(c_0_14,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(fof_simplification,[status(thm)],[part_of_defn_1]) ).
cnf(c_0_15,plain,
( part_of(ax0_sk3(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(fof_simplification,[status(thm)],[end_point_defn_15]) ).
cnf(c_0_16,negated_conjecture,
~ end_point(sk16,sk15),
inference(fof_simplification,[status(thm)],[theorem_2_10_70]) ).
cnf(c_0_17,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
c_0_14 ).
cnf(c_0_18,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
part_of_defn_2 ).
cnf(c_0_19,plain,
( part_of(ax0_sk3(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
incident_c(sk16,sk15),
theorem_2_10_69 ).
cnf(c_0_21,negated_conjecture,
~ end_point(sk16,sk15),
c_0_16 ).
cnf(c_0_22,plain,
( part_of(ax0_sk4(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(fof_simplification,[status(thm)],[end_point_defn_16]) ).
cnf(c_0_23,plain,
( incident_c(ax0_sk1(X1,X2),X3)
| part_of(X1,X2)
| ~ part_of(X1,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
part_of(ax0_sk3(sk15,sk16),sk15),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,plain,
( part_of(ax0_sk4(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
c_0_22 ).
cnf(c_0_26,plain,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4) ),
inference(fof_simplification,[status(thm)],[end_point_defn_14]) ).
cnf(c_0_27,plain,
( incident_c(X1,ax0_sk3(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(fof_simplification,[status(thm)],[end_point_defn_17]) ).
cnf(c_0_28,negated_conjecture,
( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),X1),sk15)
| part_of(ax0_sk3(sk15,sk16),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
part_of(ax0_sk4(sk15,sk16),sk15),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21]) ).
cnf(c_0_30,plain,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4) ),
c_0_26 ).
cnf(c_0_31,negated_conjecture,
end_point(sk16,sk14),
theorem_2_10_68 ).
cnf(c_0_32,plain,
( incident_c(X1,ax0_sk3(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
c_0_27 ).
cnf(c_0_33,plain,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[part_of_defn_3]) ).
cnf(c_0_34,negated_conjecture,
( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),X1),X2)
| part_of(ax0_sk3(sk15,sk16),X1)
| ~ part_of(sk15,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
part_of(sk15,sk14),
theorem_2_10_67 ).
cnf(c_0_36,negated_conjecture,
( incident_c(ax0_sk1(ax0_sk4(sk15,sk16),X1),sk15)
| part_of(ax0_sk4(sk15,sk16),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(sk16,X1)
| ~ incident_c(sk16,X2)
| ~ part_of(X1,sk14)
| ~ part_of(X2,sk14) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
incident_c(sk16,ax0_sk3(sk15,sk16)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_20]),c_0_21]) ).
cnf(c_0_39,plain,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
c_0_33 ).
cnf(c_0_40,negated_conjecture,
( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),X1),sk14)
| part_of(ax0_sk3(sk15,sk16),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( incident_c(X1,ax0_sk4(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(fof_simplification,[status(thm)],[end_point_defn_18]) ).
cnf(c_0_42,negated_conjecture,
( incident_c(ax0_sk1(ax0_sk4(sk15,sk16),X1),X2)
| part_of(ax0_sk4(sk15,sk16),X1)
| ~ part_of(sk15,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( part_of(X1,ax0_sk3(sk15,sk16))
| part_of(ax0_sk3(sk15,sk16),X1)
| ~ incident_c(sk16,X1)
| ~ part_of(ax0_sk3(sk15,sk16),sk14)
| ~ part_of(X1,sk14) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
part_of(ax0_sk3(sk15,sk16),sk14),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( incident_c(X1,ax0_sk4(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
c_0_41 ).
cnf(c_0_46,negated_conjecture,
( incident_c(ax0_sk1(ax0_sk4(sk15,sk16),X1),sk14)
| part_of(ax0_sk4(sk15,sk16),X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_47,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1)) ),
inference(fof_simplification,[status(thm)],[end_point_defn_20]) ).
cnf(c_0_48,negated_conjecture,
( part_of(ax0_sk3(sk15,sk16),X1)
| part_of(X1,ax0_sk3(sk15,sk16))
| ~ incident_c(sk16,X1)
| ~ part_of(X1,sk14) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_49,negated_conjecture,
incident_c(sk16,ax0_sk4(sk15,sk16)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_20]),c_0_21]) ).
cnf(c_0_50,negated_conjecture,
part_of(ax0_sk4(sk15,sk16),sk14),
inference(spm,[status(thm)],[c_0_39,c_0_46]) ).
cnf(c_0_51,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1)) ),
inference(fof_simplification,[status(thm)],[end_point_defn_19]) ).
cnf(c_0_52,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1)) ),
c_0_47 ).
cnf(c_0_53,negated_conjecture,
( part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16))
| part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_54,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1)) ),
c_0_51 ).
cnf(c_0_55,negated_conjecture,
part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_20])]),c_0_21]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO088-1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n028.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 : Sun May 19 14:58:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 47.37/6.47 # Version: 3.1.0
% 47.37/6.47 # Preprocessing class: FSLSSMSSSSSNFFN.
% 47.37/6.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.37/6.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.37/6.47 # Starting new_bool_3 with 300s (1) cores
% 47.37/6.47 # Starting new_bool_1 with 300s (1) cores
% 47.37/6.47 # Starting sh5l with 300s (1) cores
% 47.37/6.47 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 23926 completed with status 0
% 47.37/6.47 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 47.37/6.47 # Preprocessing class: FSLSSMSSSSSNFFN.
% 47.37/6.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.37/6.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.37/6.47 # No SInE strategy applied
% 47.37/6.47 # Search class: FGHSF-FFMS31-SFFFFFNN
% 47.37/6.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 47.37/6.47 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 47.37/6.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 47.37/6.47 # Starting new_bool_3 with 189s (1) cores
% 47.37/6.47 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 47.37/6.47 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 47.37/6.47 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 23937 completed with status 0
% 47.37/6.47 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 47.37/6.47 # Preprocessing class: FSLSSMSSSSSNFFN.
% 47.37/6.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.37/6.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.37/6.47 # No SInE strategy applied
% 47.37/6.47 # Search class: FGHSF-FFMS31-SFFFFFNN
% 47.37/6.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 47.37/6.47 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 47.37/6.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 47.37/6.47 # Starting new_bool_3 with 189s (1) cores
% 47.37/6.47 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 47.37/6.47 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 47.37/6.47 # Preprocessing time : 0.002 s
% 47.37/6.47
% 47.37/6.47 # Proof found!
% 47.37/6.47 # SZS status Unsatisfiable
% 47.37/6.47 # SZS output start CNFRefutation
% See solution above
% 47.37/6.47 # Parsed axioms : 52
% 47.37/6.47 # Removed by relevancy pruning/SinE : 0
% 47.37/6.47 # Initial clauses : 52
% 47.37/6.47 # Removed in clause preprocessing : 5
% 47.37/6.47 # Initial clauses in saturation : 47
% 47.37/6.47 # Processed clauses : 8395
% 47.37/6.47 # ...of these trivial : 19
% 47.37/6.47 # ...subsumed : 4365
% 47.37/6.47 # ...remaining for further processing : 4011
% 47.37/6.47 # Other redundant clauses eliminated : 20
% 47.37/6.47 # Clauses deleted for lack of memory : 0
% 47.37/6.47 # Backward-subsumed : 230
% 47.37/6.47 # Backward-rewritten : 9
% 47.37/6.47 # Generated clauses : 263871
% 47.37/6.47 # ...of the previous two non-redundant : 258557
% 47.37/6.47 # ...aggressively subsumed : 0
% 47.37/6.47 # Contextual simplify-reflections : 133
% 47.37/6.47 # Paramodulations : 262936
% 47.37/6.47 # Factorizations : 828
% 47.37/6.47 # NegExts : 0
% 47.37/6.47 # Equation resolutions : 107
% 47.37/6.47 # Disequality decompositions : 0
% 47.37/6.47 # Total rewrite steps : 6343
% 47.37/6.47 # ...of those cached : 5837
% 47.37/6.47 # Propositional unsat checks : 0
% 47.37/6.47 # Propositional check models : 0
% 47.37/6.47 # Propositional check unsatisfiable : 0
% 47.37/6.47 # Propositional clauses : 0
% 47.37/6.47 # Propositional clauses after purity: 0
% 47.37/6.47 # Propositional unsat core size : 0
% 47.37/6.47 # Propositional preprocessing time : 0.000
% 47.37/6.47 # Propositional encoding time : 0.000
% 47.37/6.47 # Propositional solver time : 0.000
% 47.37/6.47 # Success case prop preproc time : 0.000
% 47.37/6.47 # Success case prop encoding time : 0.000
% 47.37/6.47 # Success case prop solver time : 0.000
% 47.37/6.47 # Current number of processed clauses : 3772
% 47.37/6.47 # Positive orientable unit clauses : 218
% 47.37/6.47 # Positive unorientable unit clauses: 0
% 47.37/6.47 # Negative unit clauses : 5
% 47.37/6.47 # Non-unit-clauses : 3549
% 47.37/6.47 # Current number of unprocessed clauses: 249624
% 47.37/6.47 # ...number of literals in the above : 1560895
% 47.37/6.47 # Current number of archived formulas : 0
% 47.37/6.47 # Current number of archived clauses : 239
% 47.37/6.47 # Clause-clause subsumption calls (NU) : 1569320
% 47.37/6.47 # Rec. Clause-clause subsumption calls : 216312
% 47.37/6.47 # Non-unit clause-clause subsumptions : 4708
% 47.37/6.47 # Unit Clause-clause subsumption calls : 18020
% 47.37/6.47 # Rewrite failures with RHS unbound : 0
% 47.37/6.47 # BW rewrite match attempts : 3968
% 47.37/6.47 # BW rewrite match successes : 10
% 47.37/6.47 # Condensation attempts : 0
% 47.37/6.47 # Condensation successes : 0
% 47.37/6.47 # Termbank termtop insertions : 8059956
% 47.37/6.47 # Search garbage collected termcells : 128
% 47.37/6.47
% 47.37/6.47 # -------------------------------------------------
% 47.37/6.47 # User time : 5.647 s
% 47.37/6.47 # System time : 0.193 s
% 47.37/6.47 # Total time : 5.839 s
% 47.37/6.47 # Maximum resident set size: 1712 pages
% 47.37/6.47
% 47.37/6.47 # -------------------------------------------------
% 47.37/6.47 # User time : 28.582 s
% 47.37/6.47 # System time : 0.810 s
% 47.37/6.47 # Total time : 29.392 s
% 47.37/6.47 # Maximum resident set size: 1744 pages
% 47.37/6.47 % E---3.1 exiting
%------------------------------------------------------------------------------