%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:39:51 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 5 RR)
% Number of literals : 18 ( 17 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(identity,axiom,
identity = divide(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,divide(identity,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_4,axiom,
divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
single_axiom ).
cnf(c_0_5,axiom,
identity = divide(X1,X1),
identity ).
cnf(c_0_6,plain,
divide(divide(identity,divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
divide(divide(identity,divide(X1,identity)),X2) = divide(divide(identity,X1),X2),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
divide(divide(identity,divide(identity,divide(X1,divide(identity,X2)))),X2) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_9,plain,
divide(identity,divide(X1,identity)) = divide(identity,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_6]) ).
cnf(c_0_10,negated_conjecture,
multiply(identity,a2) != a2,
inference(fof_simplification,[status(thm)],[prove_these_axioms_2]) ).
cnf(c_0_11,plain,
divide(divide(identity,divide(identity,X1)),identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_5]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
multiply(identity,a2) != a2,
c_0_10 ).
cnf(c_0_13,axiom,
multiply(X1,X2) = divide(X1,divide(identity,X2)),
multiply ).
cnf(c_0_14,plain,
divide(X1,identity) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_5]),c_0_5]) ).
cnf(c_0_15,negated_conjecture,
divide(identity,divide(identity,a2)) != a2,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
divide(identity,divide(identity,X1)) = X1,
inference(rw,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 20:14:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.44 % Version: 3.5.1
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 829069 completed with status 0
% 0.12/0.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.44 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.44 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.12/0.44 % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 829075 completed with status 0
% 0.12/0.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.44 % Preprocessing time : 0.001 s
% 0.12/0.44
% 0.12/0.44 % Proof found!
% 0.12/0.44 % SZS status Unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation
% See solution above
% 0.12/0.44 % Parsed axioms : 5
% 0.12/0.44 % Removed by relevancy pruning/SinE : 0
% 0.12/0.44 % Initial clauses : 5
% 0.12/0.44 % Removed in clause preprocessing : 2
% 0.12/0.44 % Initial clauses in saturation : 3
% 0.12/0.44 % Processed clauses : 9
% 0.12/0.44 % ...of these trivial : 0
% 0.12/0.44 % ...subsumed : 0
% 0.12/0.44 % ...remaining for further processing : 9
% 0.12/0.44 % Other redundant clauses eliminated : 0
% 0.12/0.44 % Clauses deleted for lack of memory : 0
% 0.12/0.44 % Backward-subsumed : 0
% 0.12/0.44 % Backward-rewritten : 5
% 0.12/0.44 % Generated clauses : 42
% 0.12/0.44 % ...of the previous two non-redundant : 34
% 0.12/0.44 % ...aggressively subsumed : 0
% 0.12/0.44 % Contextual simplify-reflections : 0
% 0.12/0.44 % Paramodulations : 42
% 0.12/0.44 % Factorizations : 0
% 0.12/0.44 % NegExts : 0
% 0.12/0.44 % Equation resolutions : 0
% 0.12/0.44 % Disequality decompositions : 0
% 0.12/0.44 % Total rewrite steps : 34
% 0.12/0.44 % ...of those cached : 20
% 0.12/0.44 % Propositional unsat checks : 0
% 0.12/0.44 % Propositional check models : 0
% 0.12/0.44 % Propositional check unsatisfiable : 0
% 0.12/0.44 % Propositional clauses : 0
% 0.12/0.44 % Propositional clauses after purity: 0
% 0.12/0.44 % Propositional unsat core size : 0
% 0.12/0.44 % Propositional preprocessing time : 0.000
% 0.12/0.44 % Propositional encoding time : 0.000
% 0.12/0.44 % Propositional solver time : 0.000
% 0.12/0.44 % Success case prop preproc time : 0.000
% 0.12/0.44 % Success case prop encoding time : 0.000
% 0.12/0.44 % Success case prop solver time : 0.000
% 0.12/0.44 % Current number of processed clauses : 4
% 0.12/0.44 % Positive orientable unit clauses : 4
% 0.12/0.44 % Positive unorientable unit clauses: 0
% 0.12/0.44 % Negative unit clauses : 0
% 0.12/0.44 % Non-unit-clauses : 0
% 0.12/0.44 % Current number of unprocessed clauses: 23
% 0.12/0.44 % ...number of literals in the above : 23
% 0.12/0.44 % Current number of archived formulas : 0
% 0.12/0.44 % Current number of archived clauses : 7
% 0.12/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.12/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.12/0.44 % Non-unit clause-clause subsumptions : 0
% 0.12/0.44 % Unit Clause-clause subsumption calls : 0
% 0.12/0.44 % Rewrite failures with RHS unbound : 0
% 0.12/0.44 % BW rewrite match attempts : 10
% 0.12/0.44 % BW rewrite match successes : 5
% 0.12/0.44 % Condensation attempts : 0
% 0.12/0.44 % Condensation successes : 0
% 0.12/0.44 % Termbank termtop insertions : 592
% 0.12/0.44 % Search garbage collected termcells : 2
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.002 s
% 0.12/0.44 % System time : 0.002 s
% 0.12/0.44 % Total time : 0.005 s
% 0.12/0.44 % Maximum resident set size: 3632 pages
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.009 s
% 0.12/0.44 % System time : 0.010 s
% 0.12/0.44 % Total time : 0.019 s
% 0.12/0.44 % Maximum resident set size: 4864 pages
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------