%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN014-2 : 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 : n005.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 03:21:56 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.55s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 9 unt; 0 nHn; 16 RR)
% Number of literals : 26 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetryish,axiom,
( ~ equalish(X1,X2)
| equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetryish) ).
cnf(transitivityish,axiom,
( ~ equalish(X2,X3)
| ~ equalish(X1,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivityish) ).
cnf(c_20,negated_conjecture,
equalish(n,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_20) ).
cnf(c_19,negated_conjecture,
~ equalish(m,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_19) ).
cnf(c_23,negated_conjecture,
equalish(m,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_23) ).
cnf(c_0_5,plain,
( ~ equalish(X1,X2)
| equalish(X2,X1) ),
inference(fof_simplification,[status(thm)],[symmetryish]) ).
cnf(c_0_6,plain,
( ~ equalish(X2,X3)
| ~ equalish(X1,X2)
| equalish(X1,X3) ),
inference(fof_simplification,[status(thm)],[transitivityish]) ).
cnf(c_0_7,plain,
( ~ equalish(X1,X2)
| equalish(X2,X1) ),
c_0_5 ).
cnf(c_0_8,negated_conjecture,
equalish(n,k),
c_20 ).
cnf(c_0_9,plain,
( ~ equalish(X2,X3)
| ~ equalish(X1,X2)
| equalish(X1,X3) ),
c_0_6 ).
cnf(c_0_10,negated_conjecture,
equalish(k,n),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ equalish(m,n),
inference(fof_simplification,[status(thm)],[c_19]) ).
cnf(c_0_12,negated_conjecture,
( ~ equalish(X1,k)
| equalish(X1,n) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
equalish(m,k),
c_23 ).
cnf(c_0_14,negated_conjecture,
~ equalish(m,n),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n005.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 10:39:02 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.55 % Version: 3.5.1
% 0.23/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.55 % Starting sh5l with 300s (1) cores
% 0.23/0.55 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3246956 completed with status 0
% 0.23/0.55 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.23/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.55 % No SInE strategy applied
% 0.23/0.55 % Search class: FGUNF-FFMF11-SFFFFFNN
% 0.23/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.23/0.55 % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.23/0.55 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.23/0.55 % Starting new_bool_3 with 136s (1) cores
% 0.23/0.55 % SubtermCWHack with pid 3246960 completed with status 0
% 0.23/0.55 % Result found by SubtermCWHack
% 0.23/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.55 % No SInE strategy applied
% 0.23/0.55 % Search class: FGUNF-FFMF11-SFFFFFNN
% 0.23/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.55 % Preprocessing time : 0.001 s
% 0.23/0.55
% 0.23/0.55 % Proof found!
% 0.23/0.55 % SZS status Unsatisfiable
% 0.23/0.55 % SZS output start CNFRefutation
% See solution above
% 0.23/0.55 % Parsed axioms : 26
% 0.23/0.55 % Removed by relevancy pruning/SinE : 0
% 0.23/0.55 % Initial clauses : 26
% 0.23/0.55 % Removed in clause preprocessing : 0
% 0.23/0.55 % Initial clauses in saturation : 26
% 0.23/0.55 % Processed clauses : 18
% 0.23/0.55 % ...of these trivial : 0
% 0.23/0.55 % ...subsumed : 0
% 0.23/0.55 % ...remaining for further processing : 18
% 0.23/0.55 % Other redundant clauses eliminated : 0
% 0.23/0.55 % Clauses deleted for lack of memory : 0
% 0.23/0.55 % Backward-subsumed : 2
% 0.23/0.55 % Backward-rewritten : 0
% 0.23/0.55 % Generated clauses : 20
% 0.23/0.55 % ...of the previous two non-redundant : 10
% 0.23/0.55 % ...aggressively subsumed : 0
% 0.23/0.55 % Contextual simplify-reflections : 0
% 0.23/0.55 % Paramodulations : 20
% 0.23/0.55 % Factorizations : 0
% 0.23/0.55 % NegExts : 0
% 0.23/0.55 % Equation resolutions : 0
% 0.23/0.55 % Disequality decompositions : 0
% 0.23/0.55 % Total rewrite steps : 4
% 0.23/0.55 % ...of those cached : 0
% 0.23/0.55 % Propositional unsat checks : 0
% 0.23/0.55 % Propositional check models : 0
% 0.23/0.55 % Propositional check unsatisfiable : 0
% 0.23/0.55 % Propositional clauses : 0
% 0.23/0.55 % Propositional clauses after purity: 0
% 0.23/0.55 % Propositional unsat core size : 0
% 0.23/0.55 % Propositional preprocessing time : 0.000
% 0.23/0.55 % Propositional encoding time : 0.000
% 0.23/0.55 % Propositional solver time : 0.000
% 0.23/0.55 % Success case prop preproc time : 0.000
% 0.23/0.55 % Success case prop encoding time : 0.000
% 0.23/0.55 % Success case prop solver time : 0.000
% 0.23/0.55 % Current number of processed clauses : 16
% 0.23/0.55 % Positive orientable unit clauses : 5
% 0.23/0.55 % Positive unorientable unit clauses: 0
% 0.23/0.55 % Negative unit clauses : 4
% 0.23/0.55 % Non-unit-clauses : 7
% 0.23/0.55 % Current number of unprocessed clauses: 18
% 0.23/0.55 % ...number of literals in the above : 58
% 0.23/0.55 % Current number of archived formulas : 0
% 0.23/0.55 % Current number of archived clauses : 2
% 0.23/0.55 % Clause-clause subsumption calls (NU) : 16
% 0.23/0.55 % Rec. Clause-clause subsumption calls : 16
% 0.23/0.55 % Non-unit clause-clause subsumptions : 2
% 0.23/0.55 % Unit Clause-clause subsumption calls : 0
% 0.23/0.55 % Rewrite failures with RHS unbound : 0
% 0.23/0.55 % BW rewrite match attempts : 2
% 0.23/0.55 % BW rewrite match successes : 0
% 0.23/0.55 % Condensation attempts : 0
% 0.23/0.55 % Condensation successes : 0
% 0.23/0.55 % Termbank termtop insertions : 965
% 0.23/0.55 % Search garbage collected termcells : 60
% 0.23/0.55
% 0.23/0.55 % -------------------------------------------------
% 0.23/0.55 % User time : 0.002 s
% 0.23/0.55 % System time : 0.005 s
% 0.23/0.55 % Total time : 0.007 s
% 0.23/0.55 % Maximum resident set size: 3392 pages
% 0.23/0.55
% 0.23/0.55 % -------------------------------------------------
% 0.23/0.55 % User time : 0.012 s
% 0.23/0.55 % System time : 0.013 s
% 0.23/0.55 % Total time : 0.026 s
% 0.23/0.55 % Maximum resident set size: 4608 pages
% 0.23/0.55 % E exiting
%------------------------------------------------------------------------------