%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:04:10 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 15 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goals_16,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
cnf(goals_14,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(goals_15,negated_conjecture,
join(sk3,sk2) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
cnf(c_0_5,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2,
inference(fof_simplification,[status(thm)],[goals_16]) ).
cnf(c_0_6,negated_conjecture,
join(sk1,sk2) = sk2,
goals_14 ).
cnf(c_0_7,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_8,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2,
c_0_5 ).
cnf(c_0_9,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_10,negated_conjecture,
join(sk2,sk1) = sk2,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
join(sk3,sk2) = sk2,
goals_15 ).
cnf(c_0_12,negated_conjecture,
join(sk2,join(sk1,sk3)) != sk2,
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
join(sk2,join(sk1,X1)) = join(sk2,X1),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
join(sk2,sk3) = sk2,
inference(rw,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.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 : Mon Sep 21 04:06:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 0.15/0.49 % Version: 3.5.1
% 0.15/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.49 % Starting sh5l with 300s (1) cores
% 0.15/0.49 % new_bool_3 with pid 138691 completed with status 0
% 0.15/0.49 % Result found by new_bool_3
% 0.15/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 % Search class: FUUPS-FFSF22-SFFFFFNN
% 0.15/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.49 % SubtermCWHack with pid 138696 completed with status 0
% 0.15/0.49 % Result found by SubtermCWHack
% 0.15/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 % Search class: FUUPS-FFSF22-SFFFFFNN
% 0.15/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.49 % Preprocessing time : 0.002 s
% 0.15/0.49
% 0.15/0.49 % Proof found!
% 0.15/0.49 % SZS status Unsatisfiable
% 0.15/0.49 % SZS output start CNFRefutation
% See solution above
% 0.15/0.49 % Parsed axioms : 16
% 0.15/0.49 % Removed by relevancy pruning/SinE : 11
% 0.15/0.49 % Initial clauses : 5
% 0.15/0.49 % Removed in clause preprocessing : 0
% 0.15/0.49 % Initial clauses in saturation : 5
% 0.15/0.49 % Processed clauses : 9
% 0.15/0.49 % ...of these trivial : 0
% 0.15/0.49 % ...subsumed : 0
% 0.15/0.49 % ...remaining for further processing : 9
% 0.15/0.49 % Other redundant clauses eliminated : 0
% 0.15/0.49 % Clauses deleted for lack of memory : 0
% 0.15/0.49 % Backward-subsumed : 0
% 0.15/0.49 % Backward-rewritten : 3
% 0.15/0.49 % Generated clauses : 13
% 0.15/0.49 % ...of the previous two non-redundant : 10
% 0.15/0.49 % ...aggressively subsumed : 0
% 0.15/0.49 % Contextual simplify-reflections : 0
% 0.15/0.49 % Paramodulations : 13
% 0.15/0.49 % Factorizations : 0
% 0.15/0.49 % NegExts : 0
% 0.15/0.49 % Equation resolutions : 0
% 0.15/0.49 % Disequality decompositions : 0
% 0.15/0.49 % Total rewrite steps : 13
% 0.15/0.49 % ...of those cached : 0
% 0.15/0.49 % Propositional unsat checks : 0
% 0.15/0.49 % Propositional check models : 0
% 0.15/0.49 % Propositional check unsatisfiable : 0
% 0.15/0.49 % Propositional clauses : 0
% 0.15/0.49 % Propositional clauses after purity: 0
% 0.15/0.49 % Propositional unsat core size : 0
% 0.15/0.49 % Propositional preprocessing time : 0.000
% 0.15/0.49 % Propositional encoding time : 0.000
% 0.15/0.49 % Propositional solver time : 0.000
% 0.15/0.49 % Success case prop preproc time : 0.000
% 0.15/0.49 % Success case prop encoding time : 0.000
% 0.15/0.49 % Success case prop solver time : 0.000
% 0.15/0.49 % Current number of processed clauses : 6
% 0.15/0.49 % Positive orientable unit clauses : 5
% 0.15/0.49 % Positive unorientable unit clauses: 1
% 0.15/0.49 % Negative unit clauses : 0
% 0.15/0.49 % Non-unit-clauses : 0
% 0.15/0.49 % Current number of unprocessed clauses: 6
% 0.15/0.49 % ...number of literals in the above : 6
% 0.15/0.49 % Current number of archived formulas : 0
% 0.15/0.49 % Current number of archived clauses : 3
% 0.15/0.49 % Clause-clause subsumption calls (NU) : 0
% 0.15/0.49 % Rec. Clause-clause subsumption calls : 0
% 0.15/0.49 % Non-unit clause-clause subsumptions : 0
% 0.15/0.49 % Unit Clause-clause subsumption calls : 0
% 0.15/0.49 % Rewrite failures with RHS unbound : 0
% 0.15/0.49 % BW rewrite match attempts : 5
% 0.15/0.49 % BW rewrite match successes : 5
% 0.15/0.49 % Condensation attempts : 0
% 0.15/0.49 % Condensation successes : 0
% 0.15/0.49 % Termbank termtop insertions : 268
% 0.15/0.49 % Search garbage collected termcells : 44
% 0.15/0.49
% 0.15/0.49 % -------------------------------------------------
% 0.15/0.49 % User time : 0.002 s
% 0.15/0.49 % System time : 0.004 s
% 0.15/0.49 % Total time : 0.007 s
% 0.15/0.49 % Maximum resident set size: 3644 pages
% 0.15/0.49
% 0.15/0.49 % -------------------------------------------------
% 0.15/0.49 % User time : 0.004 s
% 0.15/0.49 % System time : 0.011 s
% 0.15/0.49 % Total time : 0.016 s
% 0.15/0.49 % Maximum resident set size: 4864 pages
% 0.15/0.49 % E exiting
%------------------------------------------------------------------------------