%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN034-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 03:21:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 2 unt; 4 nHn; 7 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(theorem,negated_conjecture,
( ~ p(X2,a)
| ~ p(X2,X1)
| ~ p(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).
cnf(clause2,axiom,
( p(f(X1),X1)
| p(X1,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause1,axiom,
( p(X1,f(X1))
| p(X1,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(c_0_3,negated_conjecture,
( ~ p(X2,a)
| ~ p(X2,X1)
| ~ p(X1,X2) ),
inference(fof_simplification,[status(thm)],[theorem]) ).
cnf(c_0_4,negated_conjecture,
( ~ p(X2,a)
| ~ p(X2,X1)
| ~ p(X1,X2) ),
c_0_3 ).
cnf(c_0_5,axiom,
( p(f(X1),X1)
| p(X1,a) ),
clause2 ).
cnf(c_0_6,negated_conjecture,
( ~ p(X1,f(a))
| ~ p(f(a),X1)
| p(a,a) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
( p(X1,f(X1))
| p(X1,a) ),
clause1 ).
cnf(c_0_8,negated_conjecture,
p(a,a),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_5]),c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( ~ p(X1,a)
| ~ p(a,X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:41:00 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40 % Version: 3.5.1
% 0.13/0.40 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.40 % Starting sh5l with 300s (1) cores
% 0.13/0.40 % new_bool_1 with pid 4073947 completed with status 0
% 0.13/0.40 % Result found by new_bool_1
% 0.13/0.40 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.40 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.40 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.13/0.40 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.40 % SubtermCWHack with pid 4073949 completed with status 0
% 0.13/0.40 % Result found by SubtermCWHack
% 0.13/0.40 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.40 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.40 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.13/0.40 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.40 % Preprocessing time : 0.001 s
% 0.13/0.40
% 0.13/0.40 % Proof found!
% 0.13/0.40 % SZS status Unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation
% See solution above
% 0.13/0.40 % Parsed axioms : 3
% 0.13/0.40 % Removed by relevancy pruning/SinE : 0
% 0.13/0.40 % Initial clauses : 3
% 0.13/0.40 % Removed in clause preprocessing : 0
% 0.13/0.40 % Initial clauses in saturation : 3
% 0.13/0.40 % Processed clauses : 6
% 0.13/0.40 % ...of these trivial : 0
% 0.13/0.40 % ...subsumed : 0
% 0.13/0.40 % ...remaining for further processing : 6
% 0.13/0.40 % Other redundant clauses eliminated : 0
% 0.13/0.40 % Clauses deleted for lack of memory : 0
% 0.13/0.40 % Backward-subsumed : 0
% 0.13/0.40 % Backward-rewritten : 1
% 0.13/0.40 % Generated clauses : 6
% 0.13/0.40 % ...of the previous two non-redundant : 4
% 0.13/0.40 % ...aggressively subsumed : 0
% 0.13/0.40 % Contextual simplify-reflections : 1
% 0.13/0.40 % Paramodulations : 6
% 0.13/0.40 % Factorizations : 0
% 0.13/0.40 % NegExts : 0
% 0.13/0.40 % Equation resolutions : 0
% 0.13/0.40 % Disequality decompositions : 0
% 0.13/0.40 % Total rewrite steps : 3
% 0.13/0.40 % ...of those cached : 2
% 0.13/0.40 % Propositional unsat checks : 0
% 0.13/0.40 % Propositional check models : 0
% 0.13/0.40 % Propositional check unsatisfiable : 0
% 0.13/0.40 % Propositional clauses : 0
% 0.13/0.40 % Propositional clauses after purity: 0
% 0.13/0.40 % Propositional unsat core size : 0
% 0.13/0.40 % Propositional preprocessing time : 0.000
% 0.13/0.40 % Propositional encoding time : 0.000
% 0.13/0.40 % Propositional solver time : 0.000
% 0.13/0.40 % Success case prop preproc time : 0.000
% 0.13/0.40 % Success case prop encoding time : 0.000
% 0.13/0.40 % Success case prop solver time : 0.000
% 0.13/0.40 % Current number of processed clauses : 5
% 0.13/0.40 % Positive orientable unit clauses : 1
% 0.13/0.40 % Positive unorientable unit clauses: 0
% 0.13/0.40 % Negative unit clauses : 0
% 0.13/0.40 % Non-unit-clauses : 4
% 0.13/0.40 % Current number of unprocessed clauses: 1
% 0.13/0.40 % ...number of literals in the above : 3
% 0.13/0.40 % Current number of archived formulas : 0
% 0.13/0.40 % Current number of archived clauses : 1
% 0.13/0.40 % Clause-clause subsumption calls (NU) : 9
% 0.13/0.40 % Rec. Clause-clause subsumption calls : 9
% 0.13/0.40 % Non-unit clause-clause subsumptions : 1
% 0.13/0.40 % Unit Clause-clause subsumption calls : 0
% 0.13/0.40 % Rewrite failures with RHS unbound : 0
% 0.13/0.40 % BW rewrite match attempts : 1
% 0.13/0.40 % BW rewrite match successes : 1
% 0.13/0.40 % Condensation attempts : 0
% 0.13/0.40 % Condensation successes : 0
% 0.13/0.40 % Termbank termtop insertions : 181
% 0.13/0.40 % Search garbage collected termcells : 8
% 0.13/0.40
% 0.13/0.40 % -------------------------------------------------
% 0.13/0.40 % User time : 0.003 s
% 0.13/0.40 % System time : 0.000 s
% 0.13/0.40 % Total time : 0.003 s
% 0.13/0.40 % Maximum resident set size: 3628 pages
% 0.13/0.40
% 0.13/0.40 % -------------------------------------------------
% 0.13/0.40 % User time : 0.004 s
% 0.13/0.40 % System time : 0.005 s
% 0.13/0.40 % Total time : 0.008 s
% 0.13/0.40 % Maximum resident set size: 4864 pages
% 0.13/0.40 % E exiting
%------------------------------------------------------------------------------