%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:27:07 PM UTC 2026
% Result : Unsatisfiable 0.43s 0.65s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 25 ( 11 unt; 6 nHn; 18 RR)
% Number of literals : 52 ( 13 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sum_defn_7,axiom,
( X3 = sum(X2,X1)
| incident_c(ax0_sk2(X1,X2,X3),X1)
| incident_c(ax0_sk2(X1,X2,X3),X2)
| incident_c(ax0_sk2(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_7) ).
cnf(sum_defn_11,axiom,
( ~ incident_c(ax0_sk2(X1,X2,X3),X3)
| ~ incident_c(ax0_sk2(X1,X2,X3),X2)
| X3 = sum(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_11) ).
cnf(part_of_defn_1,axiom,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(part_of_antisymmetry_67,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_67) ).
cnf(part_of_antisymmetry_69,negated_conjecture,
sk14 != sk15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_69) ).
cnf(part_of_antisymmetry_68,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_68) ).
cnf(c_0_6,axiom,
( X3 = sum(X2,X1)
| incident_c(ax0_sk2(X1,X2,X3),X1)
| incident_c(ax0_sk2(X1,X2,X3),X2)
| incident_c(ax0_sk2(X1,X2,X3),X3) ),
sum_defn_7 ).
cnf(c_0_7,plain,
( ~ incident_c(ax0_sk2(X1,X2,X3),X3)
| ~ incident_c(ax0_sk2(X1,X2,X3),X2)
| X3 = sum(X2,X1) ),
inference(fof_simplification,[status(thm)],[sum_defn_11]) ).
cnf(c_0_8,plain,
( incident_c(ax0_sk2(X2,X2,X1),X2)
| incident_c(ax0_sk2(X2,X2,X1),X1)
| X1 = sum(X2,X2) ),
inference(ef,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(fof_simplification,[status(thm)],[part_of_defn_1]) ).
cnf(c_0_10,plain,
( ~ incident_c(ax0_sk2(X1,X2,X3),X3)
| ~ incident_c(ax0_sk2(X1,X2,X3),X2)
| X3 = sum(X2,X1) ),
c_0_7 ).
cnf(c_0_11,plain,
( incident_c(ax0_sk2(X1,X1,X1),X1)
| sum(X1,X1) = X1 ),
inference(ef,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
part_of(sk14,sk15),
part_of_antisymmetry_67 ).
cnf(c_0_14,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( ~ incident_c(X1,sk14)
| incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( incident_c(ax0_sk2(X2,X2,X1),X1)
| incident_c(ax0_sk2(X2,X2,X1),X2)
| X1 = X2 ),
inference(rw,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
sk14 != sk15,
inference(fof_simplification,[status(thm)],[part_of_antisymmetry_69]) ).
cnf(c_0_18,negated_conjecture,
( incident_c(ax0_sk2(sk14,sk14,X1),X1)
| incident_c(ax0_sk2(sk14,sk14,X1),sk15)
| X1 = sk14 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
sk14 != sk15,
c_0_17 ).
cnf(c_0_20,negated_conjecture,
incident_c(ax0_sk2(sk14,sk14,sk15),sk15),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_18]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
part_of(sk15,sk14),
part_of_antisymmetry_68 ).
cnf(c_0_22,negated_conjecture,
~ incident_c(ax0_sk2(sk14,sk14,sk15),sk14),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_20]),c_0_14]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( ~ incident_c(X1,sk15)
| incident_c(X1,sk14) ),
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n015.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 20 10:16:19 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.54 Running first-order theorem proving
% 0.22/0.54 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.43/0.65 % Version: 3.5.1
% 0.43/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.43/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.43/0.65 % Starting sh5l with 300s (1) cores
% 0.43/0.65 % sh5l with pid 3053691 completed with status 0
% 0.43/0.65 % Result found by sh5l
% 0.43/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.43/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.43/0.65 % Starting sh5l with 300s (1) cores
% 0.43/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.43/0.65 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.43/0.65 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.43/0.65 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.65 % Starting SubtermCWHack with 28s (1) cores
% 0.43/0.65 % SubtermCWHack with pid 3053700 completed with status 0
% 0.43/0.65 % Result found by SubtermCWHack
% 0.43/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.43/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.43/0.65 % Starting sh5l with 300s (1) cores
% 0.43/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.43/0.65 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.43/0.65 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.43/0.65 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.65 % Starting SubtermCWHack with 28s (1) cores
% 0.43/0.65 % Preprocessing time : 0.002 s
% 0.43/0.65
% 0.43/0.65 % Proof found!
% 0.43/0.65 % SZS status Unsatisfiable
% 0.43/0.65 % SZS output start CNFRefutation
% See solution above
% 0.43/0.65 % Parsed axioms : 51
% 0.43/0.65 % Removed by relevancy pruning/SinE : 10
% 0.43/0.65 % Initial clauses : 41
% 0.43/0.65 % Removed in clause preprocessing : 3
% 0.43/0.65 % Initial clauses in saturation : 38
% 0.43/0.65 % Processed clauses : 182
% 0.43/0.65 % ...of these trivial : 2
% 0.43/0.65 % ...subsumed : 43
% 0.43/0.65 % ...remaining for further processing : 137
% 0.43/0.65 % Other redundant clauses eliminated : 4
% 0.43/0.65 % Clauses deleted for lack of memory : 0
% 0.43/0.65 % Backward-subsumed : 2
% 0.43/0.65 % Backward-rewritten : 13
% 0.43/0.65 % Generated clauses : 546
% 0.43/0.65 % ...of the previous two non-redundant : 507
% 0.43/0.65 % ...aggressively subsumed : 0
% 0.43/0.65 % Contextual simplify-reflections : 5
% 0.43/0.65 % Paramodulations : 516
% 0.43/0.65 % Factorizations : 26
% 0.43/0.65 % NegExts : 0
% 0.43/0.65 % Equation resolutions : 4
% 0.43/0.65 % Disequality decompositions : 0
% 0.43/0.65 % Total rewrite steps : 54
% 0.43/0.65 % ...of those cached : 44
% 0.43/0.65 % Propositional unsat checks : 0
% 0.43/0.65 % Propositional check models : 0
% 0.43/0.65 % Propositional check unsatisfiable : 0
% 0.43/0.65 % Propositional clauses : 0
% 0.43/0.65 % Propositional clauses after purity: 0
% 0.43/0.65 % Propositional unsat core size : 0
% 0.43/0.65 % Propositional preprocessing time : 0.000
% 0.43/0.65 % Propositional encoding time : 0.000
% 0.43/0.65 % Propositional solver time : 0.000
% 0.43/0.65 % Success case prop preproc time : 0.000
% 0.43/0.65 % Success case prop encoding time : 0.000
% 0.43/0.65 % Success case prop solver time : 0.000
% 0.43/0.65 % Current number of processed clauses : 118
% 0.43/0.65 % Positive orientable unit clauses : 10
% 0.43/0.65 % Positive unorientable unit clauses: 0
% 0.43/0.65 % Negative unit clauses : 4
% 0.43/0.65 % Non-unit-clauses : 104
% 0.43/0.65 % Current number of unprocessed clauses: 350
% 0.43/0.65 % ...number of literals in the above : 1849
% 0.43/0.65 % Current number of archived formulas : 0
% 0.43/0.65 % Current number of archived clauses : 15
% 0.43/0.65 % Clause-clause subsumption calls (NU) : 3296
% 0.43/0.65 % Rec. Clause-clause subsumption calls : 1935
% 0.43/0.65 % Non-unit clause-clause subsumptions : 41
% 0.43/0.65 % Unit Clause-clause subsumption calls : 55
% 0.43/0.65 % Rewrite failures with RHS unbound : 0
% 0.43/0.65 % BW rewrite match attempts : 13
% 0.43/0.65 % BW rewrite match successes : 4
% 0.43/0.65 % Condensation attempts : 0
% 0.43/0.65 % Condensation successes : 0
% 0.43/0.65 % Termbank termtop insertions : 10663
% 0.43/0.65 % Search garbage collected termcells : 150
% 0.43/0.65
% 0.43/0.65 % -------------------------------------------------
% 0.43/0.65 % User time : 0.031 s
% 0.43/0.65 % System time : 0.007 s
% 0.43/0.65 % Total time : 0.038 s
% 0.43/0.65 % Maximum resident set size: 3680 pages
% 0.43/0.65
% 0.43/0.65 % -------------------------------------------------
% 0.43/0.65 % User time : 0.034 s
% 0.43/0.65 % System time : 0.014 s
% 0.43/0.65 % Total time : 0.049 s
% 0.43/0.65 % Maximum resident set size: 4608 pages
% 0.43/0.65 % E exiting
%------------------------------------------------------------------------------