%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP148-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:38:45 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.35s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 11 RR)
% Number of literals : 22 ( 21 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax_lub1c_2,hypothesis,
least_upper_bound(b,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_lub1c_2) ).
cnf(symmetry_of_lub,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
cnf(glb_absorbtion,axiom,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(associativity_of_lub,axiom,
least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
cnf(prove_ax_lub1c,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_lub1c) ).
cnf(symmetry_of_glb,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
cnf(ax_lub1c_1,hypothesis,
least_upper_bound(a,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_lub1c_1) ).
cnf(c_0_7,hypothesis,
least_upper_bound(b,c) = c,
ax_lub1c_2 ).
cnf(c_0_8,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
symmetry_of_lub ).
cnf(c_0_9,axiom,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
glb_absorbtion ).
cnf(c_0_10,axiom,
least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
associativity_of_lub ).
cnf(c_0_11,hypothesis,
least_upper_bound(c,b) = c,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
inference(fof_simplification,[status(thm)],[prove_ax_lub1c]) ).
cnf(c_0_13,plain,
greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,hypothesis,
least_upper_bound(c,least_upper_bound(b,X1)) = least_upper_bound(c,X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
symmetry_of_glb ).
cnf(c_0_16,hypothesis,
least_upper_bound(a,c) = c,
ax_lub1c_1 ).
cnf(c_0_17,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
c_0_12 ).
cnf(c_0_18,hypothesis,
greatest_lower_bound(least_upper_bound(c,X1),least_upper_bound(b,X1)) = least_upper_bound(b,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_19,hypothesis,
least_upper_bound(c,a) = c,
inference(rw,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_20,negated_conjecture,
greatest_lower_bound(c,least_upper_bound(a,b)) != least_upper_bound(a,b),
inference(rw,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8]),c_0_8]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP148-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sun Sep 20 20:02:22 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.32 Running first-order theorem proving
% 0.02/0.32 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
% 0.07/0.35 % Version: 3.5.1
% 0.07/0.35 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.35 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.35 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.35 % Starting sh5l with 300s (1) cores
% 0.07/0.35 % new_bool_3 with pid 749305 completed with status 0
% 0.07/0.35 % Result found by new_bool_3
% 0.07/0.35 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.35 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.35 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.35 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.35 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.07/0.35 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.35 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.35 % SubtermCWHack with pid 749311 completed with status 0
% 0.07/0.35 % Result found by SubtermCWHack
% 0.07/0.35 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.35 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.35 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.35 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.35 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.07/0.35 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.35 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.35 % Preprocessing time : 0.001 s
% 0.07/0.35
% 0.07/0.35 % Proof found!
% 0.07/0.35 % SZS status Unsatisfiable
% 0.07/0.35 % SZS output start CNFRefutation
% See solution above
% 0.07/0.35 % Parsed axioms : 18
% 0.07/0.35 % Removed by relevancy pruning/SinE : 2
% 0.07/0.35 % Initial clauses : 16
% 0.07/0.35 % Removed in clause preprocessing : 0
% 0.07/0.35 % Initial clauses in saturation : 16
% 0.07/0.35 % Processed clauses : 318
% 0.07/0.35 % ...of these trivial : 118
% 0.07/0.35 % ...subsumed : 94
% 0.07/0.35 % ...remaining for further processing : 105
% 0.07/0.35 % Other redundant clauses eliminated : 0
% 0.07/0.35 % Clauses deleted for lack of memory : 0
% 0.07/0.35 % Backward-subsumed : 0
% 0.07/0.35 % Backward-rewritten : 14
% 0.07/0.35 % Generated clauses : 5067
% 0.07/0.35 % ...of the previous two non-redundant : 2379
% 0.07/0.35 % ...aggressively subsumed : 0
% 0.07/0.35 % Contextual simplify-reflections : 0
% 0.07/0.35 % Paramodulations : 5067
% 0.07/0.35 % Factorizations : 0
% 0.07/0.35 % NegExts : 0
% 0.07/0.35 % Equation resolutions : 0
% 0.07/0.35 % Disequality decompositions : 0
% 0.07/0.35 % Total rewrite steps : 5806
% 0.07/0.35 % ...of those cached : 4093
% 0.07/0.35 % Propositional unsat checks : 0
% 0.07/0.35 % Propositional check models : 0
% 0.07/0.35 % Propositional check unsatisfiable : 0
% 0.07/0.35 % Propositional clauses : 0
% 0.07/0.35 % Propositional clauses after purity: 0
% 0.07/0.35 % Propositional unsat core size : 0
% 0.07/0.35 % Propositional preprocessing time : 0.000
% 0.07/0.35 % Propositional encoding time : 0.000
% 0.07/0.35 % Propositional solver time : 0.000
% 0.07/0.35 % Success case prop preproc time : 0.000
% 0.07/0.35 % Success case prop encoding time : 0.000
% 0.07/0.35 % Success case prop solver time : 0.000
% 0.07/0.35 % Current number of processed clauses : 91
% 0.07/0.35 % Positive orientable unit clauses : 84
% 0.07/0.35 % Positive unorientable unit clauses: 6
% 0.07/0.35 % Negative unit clauses : 1
% 0.07/0.35 % Non-unit-clauses : 0
% 0.07/0.35 % Current number of unprocessed clauses: 2075
% 0.07/0.35 % ...number of literals in the above : 2075
% 0.07/0.35 % Current number of archived formulas : 0
% 0.07/0.35 % Current number of archived clauses : 14
% 0.07/0.35 % Clause-clause subsumption calls (NU) : 0
% 0.07/0.35 % Rec. Clause-clause subsumption calls : 0
% 0.07/0.35 % Non-unit clause-clause subsumptions : 0
% 0.07/0.35 % Unit Clause-clause subsumption calls : 16
% 0.07/0.35 % Rewrite failures with RHS unbound : 0
% 0.07/0.35 % BW rewrite match attempts : 266
% 0.07/0.35 % BW rewrite match successes : 174
% 0.07/0.35 % Condensation attempts : 0
% 0.07/0.35 % Condensation successes : 0
% 0.07/0.35 % Termbank termtop insertions : 38510
% 0.07/0.35 % Search garbage collected termcells : 8
% 0.07/0.35
% 0.07/0.35 % -------------------------------------------------
% 0.07/0.35 % User time : 0.020 s
% 0.07/0.35 % System time : 0.001 s
% 0.07/0.35 % Total time : 0.022 s
% 0.07/0.35 % Maximum resident set size: 3640 pages
% 0.07/0.35
% 0.07/0.35 % -------------------------------------------------
% 0.07/0.35 % User time : 0.021 s
% 0.07/0.35 % System time : 0.004 s
% 0.07/0.35 % Total time : 0.025 s
% 0.07/0.35 % Maximum resident set size: 4864 pages
% 0.07/0.35 % E exiting
%------------------------------------------------------------------------------