%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : FLD021-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:22:42 PM UTC 2026
% Result : Unsatisfiable 0.20s 5.73s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 20 RR)
% Number of literals : 39 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_of_equality,axiom,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(existence_of_identity_addition,axiom,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(compatibility_of_equality_and_addition,axiom,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(m_equals_additive_identity_3,negated_conjecture,
equalish(m,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_equals_additive_identity_3) ).
cnf(add_not_equal_to_a_4,negated_conjecture,
~ equalish(add(m,a),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_a_4) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_0_6,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[transitivity_of_equality]) ).
cnf(c_0_7,plain,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_8,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
inference(fof_simplification,[status(thm)],[compatibility_of_equality_and_addition]) ).
cnf(c_0_9,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
c_0_6 ).
cnf(c_0_10,plain,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
c_0_7 ).
cnf(c_0_11,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
equalish(m,additive_identity),
m_equals_additive_identity_3 ).
cnf(c_0_13,negated_conjecture,
~ equalish(add(m,a),a),
inference(fof_simplification,[status(thm)],[add_not_equal_to_a_4]) ).
cnf(c_0_14,plain,
( ~ equalish(X1,add(additive_identity,X2))
| ~ defined(X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( ~ defined(X1)
| equalish(add(m,X1),add(additive_identity,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ equalish(add(m,a),a),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
( ~ defined(X1)
| equalish(add(m,X1),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD021-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.64 % Computer : n001.cluster.edu
% 0.16/5.64 % Model : x86_64 x86_64
% 0.16/5.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.64 % Memory : 8046.5625MB
% 0.16/5.64 % OS : Linux 6.8.0-71-generic
% 0.16/5.64 % CPULimit : 300
% 0.16/5.64 % WCLimit : 300
% 0.16/5.64 % DateTime : Mon Sep 21 15:43:36 UTC 2026
% 0.16/5.64 % CPUTime :
% 0.16/5.64 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.68 Running first-order theorem proving
% 0.16/5.68 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.20/5.73 % Version: 3.5.1
% 0.20/5.73 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/5.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/5.73 % Starting new_bool_3 with 300s (1) cores
% 0.20/5.73 % Starting new_bool_1 with 300s (1) cores
% 0.20/5.73 % Starting sh5l with 300s (1) cores
% 0.20/5.73 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3487347 completed with status 0
% 0.20/5.73 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/5.73 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/5.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/5.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/5.73 % No SInE strategy applied
% 0.20/5.73 % Search class: FGUNF-FFMS21-SFFFFFNN
% 0.20/5.73 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/5.73 % Starting SubtermCWHack with 136s (1) cores
% 0.20/5.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/5.73 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.20/5.73 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/5.73 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/5.73 % G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 3487354 completed with status 0
% 0.20/5.73 % Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 0.20/5.73 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/5.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/5.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/5.73 % No SInE strategy applied
% 0.20/5.73 % Search class: FGUNF-FFMS21-SFFFFFNN
% 0.20/5.73 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/5.73 % Starting SubtermCWHack with 136s (1) cores
% 0.20/5.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/5.73 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.20/5.73 % Preprocessing time : 0.001 s
% 0.20/5.73 % Presaturation interreduction done
% 0.20/5.73
% 0.20/5.73 % Proof found!
% 0.20/5.73 % SZS status Unsatisfiable
% 0.20/5.73 % SZS output start CNFRefutation
% See solution above
% 0.20/5.73 % Parsed axioms : 31
% 0.20/5.73 % Removed by relevancy pruning/SinE : 0
% 0.20/5.73 % Initial clauses : 31
% 0.20/5.73 % Removed in clause preprocessing : 0
% 0.20/5.73 % Initial clauses in saturation : 31
% 0.20/5.73 % Processed clauses : 461
% 0.20/5.73 % ...of these trivial : 73
% 0.20/5.73 % ...subsumed : 16
% 0.20/5.73 % ...remaining for further processing : 372
% 0.20/5.73 % Other redundant clauses eliminated : 0
% 0.20/5.73 % Clauses deleted for lack of memory : 0
% 0.20/5.73 % Backward-subsumed : 0
% 0.20/5.73 % Backward-rewritten : 8
% 0.20/5.73 % Generated clauses : 3357
% 0.20/5.73 % ...of the previous two non-redundant : 2541
% 0.20/5.73 % ...aggressively subsumed : 0
% 0.20/5.73 % Contextual simplify-reflections : 0
% 0.20/5.73 % Paramodulations : 3355
% 0.20/5.73 % Factorizations : 2
% 0.20/5.73 % NegExts : 0
% 0.20/5.73 % Equation resolutions : 0
% 0.20/5.73 % Disequality decompositions : 0
% 0.20/5.73 % Total rewrite steps : 1747
% 0.20/5.73 % ...of those cached : 1601
% 0.20/5.73 % Propositional unsat checks : 0
% 0.20/5.73 % Propositional check models : 0
% 0.20/5.73 % Propositional check unsatisfiable : 0
% 0.20/5.73 % Propositional clauses : 0
% 0.20/5.73 % Propositional clauses after purity: 0
% 0.20/5.73 % Propositional unsat core size : 0
% 0.20/5.73 % Propositional preprocessing time : 0.000
% 0.20/5.73 % Propositional encoding time : 0.000
% 0.20/5.73 % Propositional solver time : 0.000
% 0.20/5.73 % Success case prop preproc time : 0.000
% 0.20/5.73 % Success case prop encoding time : 0.000
% 0.20/5.73 % Success case prop solver time : 0.000
% 0.20/5.73 % Current number of processed clauses : 333
% 0.20/5.73 % Positive orientable unit clauses : 154
% 0.20/5.73 % Positive unorientable unit clauses: 0
% 0.20/5.73 % Negative unit clauses : 2
% 0.20/5.73 % Non-unit-clauses : 177
% 0.20/5.73 % Current number of unprocessed clauses: 2096
% 0.20/5.73 % ...number of literals in the above : 4452
% 0.20/5.73 % Current number of archived formulas : 0
% 0.20/5.73 % Current number of archived clauses : 39
% 0.20/5.73 % Clause-clause subsumption calls (NU) : 2984
% 0.20/5.73 % Rec. Clause-clause subsumption calls : 2574
% 0.20/5.73 % Non-unit clause-clause subsumptions : 16
% 0.20/5.73 % Unit Clause-clause subsumption calls : 224
% 0.20/5.73 % Rewrite failures with RHS unbound : 0
% 0.20/5.73 % BW rewrite match attempts : 52
% 0.20/5.73 % BW rewrite match successes : 8
% 0.20/5.73 % Condensation attempts : 0
% 0.20/5.73 % Condensation successes : 0
% 0.20/5.73 % Termbank termtop insertions : 43333
% 0.20/5.73 % Search garbage collected termcells : 71
% 0.20/5.73
% 0.20/5.73 % -------------------------------------------------
% 0.20/5.73 % User time : 0.027 s
% 0.20/5.73 % System time : 0.004 s
% 0.20/5.73 % Total time : 0.032 s
% 0.20/5.73 % Maximum resident set size: 3660 pages
% 0.20/5.73
% 0.20/5.73 % -------------------------------------------------
% 0.20/5.73 % User time : 0.141 s
% 0.20/5.73 % System time : 0.014 s
% 0.20/5.73 % Total time : 0.155 s
% 0.20/5.73 % Maximum resident set size: 4864 pages
% 0.20/5.73 % E exiting
%------------------------------------------------------------------------------