%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO083-1 : 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 : n026.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 12:27:08 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 32 ( 11 unt; 6 nHn; 28 RR)
% Number of literals : 69 ( 9 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(corollary_2_6_1_70,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_70) ).
cnf(part_of_defn_3,axiom,
( ~ incident_c(ax0_sk1(X1,X2),X2)
| part_of(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(sum_defn_5,axiom,
( ~ incident_c(X4,X2)
| X1 != sum(X2,X3)
| incident_c(X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
cnf(sum_defn_4,axiom,
( ~ incident_c(X4,X1)
| X1 != sum(X2,X3)
| incident_c(X4,X3)
| incident_c(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(sum_defn_6,axiom,
( ~ incident_c(X4,X3)
| X1 != sum(X2,X3)
| incident_c(X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
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_defn_2,axiom,
( part_of(X1,X2)
| incident_c(ax0_sk1(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(corollary_2_6_1_67,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_67) ).
cnf(c_0_8,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
inference(fof_simplification,[status(thm)],[corollary_2_6_1_70]) ).
cnf(c_0_9,plain,
( ~ incident_c(ax0_sk1(X1,X2),X2)
| part_of(X1,X2) ),
inference(fof_simplification,[status(thm)],[part_of_defn_3]) ).
cnf(c_0_10,plain,
( ~ incident_c(X4,X2)
| X1 != sum(X2,X3)
| incident_c(X4,X1) ),
inference(fof_simplification,[status(thm)],[sum_defn_5]) ).
cnf(c_0_11,plain,
( ~ incident_c(X4,X1)
| X1 != sum(X2,X3)
| incident_c(X4,X3)
| incident_c(X4,X2) ),
inference(fof_simplification,[status(thm)],[sum_defn_4]) ).
cnf(c_0_12,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
c_0_8 ).
cnf(c_0_13,plain,
( ~ incident_c(ax0_sk1(X1,X2),X2)
| part_of(X1,X2) ),
c_0_9 ).
cnf(c_0_14,plain,
( ~ incident_c(X4,X2)
| X1 != sum(X2,X3)
| incident_c(X4,X1) ),
c_0_10 ).
cnf(c_0_15,plain,
( ~ incident_c(X4,X3)
| X1 != sum(X2,X3)
| incident_c(X4,X1) ),
inference(fof_simplification,[status(thm)],[sum_defn_6]) ).
cnf(c_0_16,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_17,plain,
( ~ incident_c(X4,X1)
| X1 != sum(X2,X3)
| incident_c(X4,X3)
| incident_c(X4,X2) ),
c_0_11 ).
cnf(c_0_18,axiom,
( part_of(X1,X2)
| incident_c(ax0_sk1(X1,X2),X1) ),
part_of_defn_2 ).
cnf(c_0_19,negated_conjecture,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk16)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
( ~ incident_c(X1,X2)
| incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( ~ incident_c(X4,X3)
| X1 != sum(X2,X3)
| incident_c(X4,X1) ),
c_0_15 ).
cnf(c_0_22,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
c_0_16 ).
cnf(c_0_23,negated_conjecture,
part_of(sk15,sk16),
corollary_2_6_1_67 ).
cnf(c_0_24,plain,
( ~ incident_c(X1,sum(X3,X2))
| incident_c(X1,X3)
| incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk15)),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( ~ incident_c(X1,X3)
| incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( ~ incident_c(X1,sk15)
| incident_c(X1,sk16) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk16),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO083-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 10:19:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.44 % Version: 3.5.1
% 0.09/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.44 % Starting sh5l with 300s (1) cores
% 0.09/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3898615 completed with status 0
% 0.09/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.09/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.44 % No SInE strategy applied
% 0.09/0.44 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.09/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.09/0.44 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.09/0.44 % Starting new_bool_3 with 189s (1) cores
% 0.09/0.44 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.09/0.44 % 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 3898626 completed with status 0
% 0.09/0.44 % Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.09/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.44 % No SInE strategy applied
% 0.09/0.44 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.09/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.09/0.44 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.09/0.44 % Starting new_bool_3 with 189s (1) cores
% 0.09/0.44 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.09/0.44 % Preprocessing time : 0.002 s
% 0.09/0.44 % Presaturation interreduction done
% 0.09/0.44
% 0.09/0.44 % Proof found!
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44 % SZS output start CNFRefutation
% See solution above
% 0.09/0.44 % Parsed axioms : 52
% 0.09/0.44 % Removed by relevancy pruning/SinE : 0
% 0.09/0.44 % Initial clauses : 52
% 0.09/0.44 % Removed in clause preprocessing : 5
% 0.09/0.44 % Initial clauses in saturation : 47
% 0.09/0.44 % Processed clauses : 113
% 0.09/0.44 % ...of these trivial : 1
% 0.09/0.44 % ...subsumed : 4
% 0.09/0.44 % ...remaining for further processing : 108
% 0.09/0.44 % Other redundant clauses eliminated : 4
% 0.09/0.44 % Clauses deleted for lack of memory : 0
% 0.09/0.44 % Backward-subsumed : 0
% 0.09/0.44 % Backward-rewritten : 0
% 0.09/0.44 % Generated clauses : 64
% 0.09/0.44 % ...of the previous two non-redundant : 57
% 0.09/0.44 % ...aggressively subsumed : 0
% 0.09/0.44 % Contextual simplify-reflections : 0
% 0.09/0.44 % Paramodulations : 60
% 0.09/0.44 % Factorizations : 0
% 0.09/0.44 % NegExts : 0
% 0.09/0.44 % Equation resolutions : 4
% 0.09/0.44 % Disequality decompositions : 0
% 0.09/0.44 % Total rewrite steps : 3
% 0.09/0.44 % ...of those cached : 0
% 0.09/0.44 % Propositional unsat checks : 0
% 0.09/0.44 % Propositional check models : 0
% 0.09/0.44 % Propositional check unsatisfiable : 0
% 0.09/0.44 % Propositional clauses : 0
% 0.09/0.44 % Propositional clauses after purity: 0
% 0.09/0.44 % Propositional unsat core size : 0
% 0.09/0.44 % Propositional preprocessing time : 0.000
% 0.09/0.44 % Propositional encoding time : 0.000
% 0.09/0.44 % Propositional solver time : 0.000
% 0.09/0.44 % Success case prop preproc time : 0.000
% 0.09/0.44 % Success case prop encoding time : 0.000
% 0.09/0.44 % Success case prop solver time : 0.000
% 0.09/0.44 % Current number of processed clauses : 57
% 0.09/0.44 % Positive orientable unit clauses : 13
% 0.09/0.44 % Positive unorientable unit clauses: 0
% 0.09/0.44 % Negative unit clauses : 6
% 0.09/0.44 % Non-unit-clauses : 38
% 0.09/0.44 % Current number of unprocessed clauses: 38
% 0.09/0.44 % ...number of literals in the above : 141
% 0.09/0.44 % Current number of archived formulas : 0
% 0.09/0.44 % Current number of archived clauses : 47
% 0.09/0.44 % Clause-clause subsumption calls (NU) : 751
% 0.09/0.44 % Rec. Clause-clause subsumption calls : 437
% 0.09/0.44 % Non-unit clause-clause subsumptions : 4
% 0.09/0.44 % Unit Clause-clause subsumption calls : 33
% 0.09/0.44 % Rewrite failures with RHS unbound : 0
% 0.09/0.44 % BW rewrite match attempts : 2
% 0.09/0.44 % BW rewrite match successes : 0
% 0.09/0.44 % Condensation attempts : 0
% 0.09/0.44 % Condensation successes : 0
% 0.09/0.44 % Termbank termtop insertions : 2755
% 0.09/0.44 % Search garbage collected termcells : 128
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.010 s
% 0.09/0.44 % System time : 0.001 s
% 0.09/0.44 % Total time : 0.012 s
% 0.09/0.44 % Maximum resident set size: 3680 pages
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.058 s
% 0.09/0.44 % System time : 0.015 s
% 0.09/0.44 % Total time : 0.074 s
% 0.09/0.44 % Maximum resident set size: 4864 pages
% 0.09/0.44 % E exiting
%------------------------------------------------------------------------------