%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 03:23:05 PM UTC 2026
% Result : Unsatisfiable 0.10s 10.57s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 4 unt; 8 nHn; 23 RR)
% Number of literals : 57 ( 0 equ; 30 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 : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_7,negated_conjecture,
( ~ big_f(a,X1)
| ~ big_f(g(X1),X1)
| big_f(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_4,negated_conjecture,
( ~ big_f(a,X1)
| big_f(a,b)
| big_f(g(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_1,negated_conjecture,
( ~ big_f(X1,b)
| big_f(X1,f(a))
| big_f(a,f(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
( big_f(a,b)
| big_f(a,f(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_5,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X1)
| big_f(g(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_8,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X1)
| ~ big_f(g(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(c_0_6,negated_conjecture,
( ~ big_f(a,X1)
| ~ big_f(g(X1),X1)
| big_f(a,b) ),
inference(fof_simplification,[status(thm)],[clause_7]) ).
cnf(c_0_7,negated_conjecture,
( ~ big_f(a,X1)
| big_f(a,b)
| big_f(g(X1),X1) ),
inference(fof_simplification,[status(thm)],[clause_4]) ).
cnf(c_0_8,negated_conjecture,
( ~ big_f(a,X1)
| ~ big_f(g(X1),X1)
| big_f(a,b) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
( ~ big_f(a,X1)
| big_f(a,b)
| big_f(g(X1),X1) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
( ~ big_f(X1,b)
| big_f(X1,f(a))
| big_f(a,f(a)) ),
inference(fof_simplification,[status(thm)],[clause_1]) ).
cnf(c_0_11,negated_conjecture,
( ~ big_f(a,X1)
| big_f(a,b) ),
inference(csr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( big_f(a,b)
| big_f(a,f(a)) ),
clause_2 ).
cnf(c_0_13,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X1)
| big_f(g(X1),X1) ),
inference(fof_simplification,[status(thm)],[clause_5]) ).
cnf(c_0_14,negated_conjecture,
( ~ big_f(X1,b)
| big_f(X1,f(a))
| big_f(a,f(a)) ),
c_0_10 ).
cnf(c_0_15,negated_conjecture,
big_f(a,b),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X1)
| ~ big_f(g(X1),X1) ),
inference(fof_simplification,[status(thm)],[clause_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X1)
| big_f(g(X1),X1) ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
big_f(a,f(a)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X1)
| ~ big_f(g(X1),X1) ),
c_0_16 ).
cnf(c_0_20,negated_conjecture,
( ~ big_f(a,X1)
| big_f(g(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
~ big_f(a,X1),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_18])]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.52 % Computer : n002.cluster.edu
% 0.10/10.52 % Model : x86_64 x86_64
% 0.10/10.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.52 % Memory : 8046.5625MB
% 0.10/10.52 % OS : Linux 6.8.0-71-generic
% 0.10/10.52 % CPULimit : 300
% 0.10/10.52 % WCLimit : 300
% 0.10/10.52 % DateTime : Mon Sep 21 10:45:30 UTC 2026
% 0.10/10.52 % CPUTime :
% 0.10/10.52 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.56 Running first-order theorem proving
% 0.10/10.56 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
% 0.10/10.57 % Version: 3.5.1
% 0.10/10.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/10.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/10.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/10.57 % Starting new_bool_3 with 300s (1) cores
% 0.10/10.57 % Starting new_bool_1 with 300s (1) cores
% 0.10/10.57 % Starting sh5l with 300s (1) cores
% 0.10/10.57 % new_bool_3 with pid 3092933 completed with status 0
% 0.10/10.57 % Result found by new_bool_3
% 0.10/10.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/10.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/10.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/10.57 % Starting new_bool_3 with 300s (1) cores
% 0.10/10.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/10.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/10.57 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.10/10.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/10.57 % Starting SubtermCWHack with 31s (1) cores
% 0.10/10.57 % SubtermCWHack with pid 3092938 completed with status 0
% 0.10/10.57 % Result found by SubtermCWHack
% 0.10/10.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/10.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/10.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/10.57 % Starting new_bool_3 with 300s (1) cores
% 0.10/10.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/10.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/10.57 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.10/10.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/10.57 % Starting SubtermCWHack with 31s (1) cores
% 0.10/10.57 % Preprocessing time : 0.001 s
% 0.10/10.57
% 0.10/10.57 % Proof found!
% 0.10/10.57 % SZS status Unsatisfiable
% 0.10/10.57 % SZS output start CNFRefutation
% See solution above
% 0.10/10.57 % Parsed axioms : 8
% 0.10/10.57 % Removed by relevancy pruning/SinE : 0
% 0.10/10.57 % Initial clauses : 8
% 0.10/10.57 % Removed in clause preprocessing : 0
% 0.10/10.57 % Initial clauses in saturation : 8
% 0.10/10.57 % Processed clauses : 8
% 0.10/10.57 % ...of these trivial : 0
% 0.10/10.57 % ...subsumed : 0
% 0.10/10.57 % ...remaining for further processing : 8
% 0.10/10.57 % Other redundant clauses eliminated : 0
% 0.10/10.57 % Clauses deleted for lack of memory : 0
% 0.10/10.57 % Backward-subsumed : 2
% 0.10/10.57 % Backward-rewritten : 3
% 0.10/10.57 % Generated clauses : 4
% 0.10/10.57 % ...of the previous two non-redundant : 2
% 0.10/10.57 % ...aggressively subsumed : 0
% 0.10/10.57 % Contextual simplify-reflections : 2
% 0.10/10.57 % Paramodulations : 2
% 0.10/10.57 % Factorizations : 0
% 0.10/10.57 % NegExts : 0
% 0.10/10.57 % Equation resolutions : 0
% 0.10/10.57 % Disequality decompositions : 0
% 0.10/10.57 % Total rewrite steps : 5
% 0.10/10.57 % ...of those cached : 3
% 0.10/10.57 % Propositional unsat checks : 0
% 0.10/10.57 % Propositional check models : 0
% 0.10/10.57 % Propositional check unsatisfiable : 0
% 0.10/10.57 % Propositional clauses : 0
% 0.10/10.57 % Propositional clauses after purity: 0
% 0.10/10.57 % Propositional unsat core size : 0
% 0.10/10.57 % Propositional preprocessing time : 0.000
% 0.10/10.57 % Propositional encoding time : 0.000
% 0.10/10.57 % Propositional solver time : 0.000
% 0.10/10.57 % Success case prop preproc time : 0.000
% 0.10/10.57 % Success case prop encoding time : 0.000
% 0.10/10.57 % Success case prop solver time : 0.000
% 0.10/10.57 % Current number of processed clauses : 1
% 0.10/10.57 % Positive orientable unit clauses : 0
% 0.10/10.57 % Positive unorientable unit clauses: 0
% 0.10/10.57 % Negative unit clauses : 1
% 0.10/10.57 % Non-unit-clauses : 0
% 0.10/10.57 % Current number of unprocessed clauses: 2
% 0.10/10.57 % ...number of literals in the above : 8
% 0.10/10.57 % Current number of archived formulas : 0
% 0.10/10.57 % Current number of archived clauses : 7
% 0.10/10.57 % Clause-clause subsumption calls (NU) : 3
% 0.10/10.57 % Rec. Clause-clause subsumption calls : 3
% 0.10/10.57 % Non-unit clause-clause subsumptions : 3
% 0.10/10.57 % Unit Clause-clause subsumption calls : 1
% 0.10/10.57 % Rewrite failures with RHS unbound : 0
% 0.10/10.57 % BW rewrite match attempts : 2
% 0.10/10.57 % BW rewrite match successes : 2
% 0.10/10.57 % Condensation attempts : 0
% 0.10/10.57 % Condensation successes : 0
% 0.10/10.57 % Termbank termtop insertions : 390
% 0.10/10.57 % Search garbage collected termcells : 21
% 0.10/10.57
% 0.10/10.57 % -------------------------------------------------
% 0.10/10.57 % User time : 0.004 s
% 0.10/10.57 % System time : 0.000 s
% 0.10/10.57 % Total time : 0.004 s
% 0.10/10.57 % Maximum resident set size: 3580 pages
% 0.10/10.57
% 0.10/10.57 % -------------------------------------------------
% 0.10/10.57 % User time : 0.006 s
% 0.10/10.57 % System time : 0.003 s
% 0.10/10.57 % Total time : 0.009 s
% 0.10/10.57 % Maximum resident set size: 4608 pages
% 0.10/10.57 % E exiting
%------------------------------------------------------------------------------