%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : FLD060-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:23:22 PM UTC 2026
% Result : Unsatisfiable 6.43s 1.49s
% Output : CNFRefutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 10 unt; 0 nHn; 29 RR)
% Number of literals : 71 ( 0 equ; 45 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(compatibility_of_order_relation_and_addition,axiom,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(totality_of_addition,axiom,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
cnf(commutativity_addition,axiom,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(transitivity_of_order_relation,axiom,
( ~ less_or_equal(X3,X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(less_or_equal_3,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(not_less_or_equal_4,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_4) ).
cnf(c_0_8,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[compatibility_of_order_relation_and_addition]) ).
cnf(c_0_9,plain,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X1,X2)) ),
inference(fof_simplification,[status(thm)],[totality_of_addition]) ).
cnf(c_0_10,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_11,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
c_0_8 ).
cnf(c_0_12,plain,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X1,X2)) ),
c_0_9 ).
cnf(c_0_13,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_14,plain,
( ~ sum(X4,X3,X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ less_or_equal(X4,X2)
| less_or_equal(X1,add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X2,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_16,plain,
( ~ less_or_equal(X3,X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[transitivity_of_order_relation]) ).
cnf(c_0_17,plain,
( ~ defined(X2)
| ~ defined(X3)
| ~ defined(X1)
| ~ less_or_equal(X2,X3)
| less_or_equal(add(X1,X2),add(X3,X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
less_or_equal(a,b),
less_or_equal_3 ).
cnf(c_0_19,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_20,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_21,plain,
( ~ less_or_equal(X3,X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(X1,X2) ),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
( ~ defined(X1)
| less_or_equal(add(X1,a),add(b,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_23,plain,
( ~ defined(X1)
| ~ defined(X3)
| ~ defined(X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(add(X1,X2),add(X3,X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_24,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
inference(fof_simplification,[status(thm)],[not_less_or_equal_4]) ).
cnf(c_0_25,negated_conjecture,
( ~ defined(X2)
| ~ less_or_equal(X1,add(X2,a))
| less_or_equal(X1,add(b,X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ defined(X1)
| less_or_equal(add(a,X1),add(b,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_27,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
c_0_24 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19]),c_0_20])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD060-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.55 % Computer : n002.cluster.edu
% 0.13/0.55 % Model : x86_64 x86_64
% 0.13/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.55 % Memory : 8046.5625MB
% 0.13/0.55 % OS : Linux 6.8.0-71-generic
% 0.13/0.55 % CPULimit : 300
% 0.13/0.55 % WCLimit : 300
% 0.13/0.55 % DateTime : Mon Sep 21 15:46:19 UTC 2026
% 0.13/0.55 % CPUTime :
% 0.13/0.55 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.60 Running first-order theorem proving
% 0.16/0.60 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
% 6.43/1.49 % Version: 3.5.1
% 6.43/1.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.43/1.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.43/1.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.43/1.49 % Starting new_bool_3 with 300s (1) cores
% 6.43/1.49 % Starting new_bool_1 with 300s (1) cores
% 6.43/1.49 % Starting sh5l with 300s (1) cores
% 6.43/1.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3636039 completed with status 0
% 6.43/1.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.43/1.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.43/1.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.43/1.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.43/1.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.43/1.49 % No SInE strategy applied
% 6.43/1.49 % Search class: FGUNF-FFMS21-SFFFFFNN
% 6.43/1.49 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 6.43/1.49 % Starting SubtermCWHack with 136s (1) cores
% 6.43/1.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.43/1.49 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 6.43/1.49 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.43/1.49 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.43/1.49 % G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 3636047 completed with status 0
% 6.43/1.49 % Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 6.43/1.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.43/1.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.43/1.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.43/1.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.43/1.49 % No SInE strategy applied
% 6.43/1.49 % Search class: FGUNF-FFMS21-SFFFFFNN
% 6.43/1.49 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 6.43/1.49 % Starting SubtermCWHack with 136s (1) cores
% 6.43/1.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.43/1.49 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 6.43/1.49 % Preprocessing time : 0.002 s
% 6.43/1.49 % Presaturation interreduction done
% 6.43/1.49
% 6.43/1.49 % Proof found!
% 6.43/1.49 % SZS status Unsatisfiable
% 6.43/1.49 % SZS output start CNFRefutation
% See solution above
% 6.43/1.49 % Parsed axioms : 30
% 6.43/1.49 % Removed by relevancy pruning/SinE : 0
% 6.43/1.49 % Initial clauses : 30
% 6.43/1.49 % Removed in clause preprocessing : 0
% 6.43/1.49 % Initial clauses in saturation : 30
% 6.43/1.49 % Processed clauses : 4740
% 6.43/1.49 % ...of these trivial : 234
% 6.43/1.49 % ...subsumed : 2208
% 6.43/1.49 % ...remaining for further processing : 2298
% 6.43/1.49 % Other redundant clauses eliminated : 0
% 6.43/1.49 % Clauses deleted for lack of memory : 0
% 6.43/1.49 % Backward-subsumed : 333
% 6.43/1.49 % Backward-rewritten : 39
% 6.43/1.49 % Generated clauses : 36689
% 6.43/1.49 % ...of the previous two non-redundant : 30879
% 6.43/1.49 % ...aggressively subsumed : 0
% 6.43/1.49 % Contextual simplify-reflections : 33
% 6.43/1.49 % Paramodulations : 36677
% 6.43/1.49 % Factorizations : 12
% 6.43/1.49 % NegExts : 0
% 6.43/1.49 % Equation resolutions : 0
% 6.43/1.49 % Disequality decompositions : 0
% 6.43/1.49 % Total rewrite steps : 19305
% 6.43/1.49 % ...of those cached : 19088
% 6.43/1.49 % Propositional unsat checks : 0
% 6.43/1.49 % Propositional check models : 0
% 6.43/1.49 % Propositional check unsatisfiable : 0
% 6.43/1.49 % Propositional clauses : 0
% 6.43/1.49 % Propositional clauses after purity: 0
% 6.43/1.49 % Propositional unsat core size : 0
% 6.43/1.49 % Propositional preprocessing time : 0.000
% 6.43/1.49 % Propositional encoding time : 0.000
% 6.43/1.49 % Propositional solver time : 0.000
% 6.43/1.49 % Success case prop preproc time : 0.000
% 6.43/1.49 % Success case prop encoding time : 0.000
% 6.43/1.49 % Success case prop solver time : 0.000
% 6.43/1.49 % Current number of processed clauses : 1896
% 6.43/1.49 % Positive orientable unit clauses : 231
% 6.43/1.49 % Positive unorientable unit clauses: 0
% 6.43/1.49 % Negative unit clauses : 2
% 6.43/1.49 % Non-unit-clauses : 1663
% 6.43/1.49 % Current number of unprocessed clauses: 26124
% 6.43/1.49 % ...number of literals in the above : 89277
% 6.43/1.49 % Current number of archived formulas : 0
% 6.43/1.49 % Current number of archived clauses : 402
% 6.43/1.49 % Clause-clause subsumption calls (NU) : 721205
% 6.43/1.49 % Rec. Clause-clause subsumption calls : 392918
% 6.43/1.49 % Non-unit clause-clause subsumptions : 2574
% 6.43/1.49 % Unit Clause-clause subsumption calls : 43502
% 6.43/1.49 % Rewrite failures with RHS unbound : 0
% 6.43/1.49 % BW rewrite match attempts : 220
% 6.43/1.49 % BW rewrite match successes : 39
% 6.43/1.49 % Condensation attempts : 0
% 6.43/1.49 % Condensation successes : 0
% 6.43/1.49 % Termbank termtop insertions : 599763
% 6.43/1.49 % Search garbage collected termcells : 116
% 6.43/1.49
% 6.43/1.49 % -------------------------------------------------
% 6.43/1.49 % User time : 0.829 s
% 6.43/1.49 % System time : 0.025 s
% 6.43/1.49 % Total time : 0.854 s
% 6.43/1.49 % Maximum resident set size: 3660 pages
% 6.43/1.49
% 6.43/1.49 % -------------------------------------------------
% 6.43/1.49 % User time : 4.151 s
% 6.43/1.49 % System time : 0.142 s
% 6.43/1.49 % Total time : 4.294 s
% 6.43/1.49 % Maximum resident set size: 4608 pages
% 6.43/1.49 % E exiting
%------------------------------------------------------------------------------