%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:05:24 PM UTC 2026
% Result : Unsatisfiable 0.59s 0.51s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 13 RR)
% Number of literals : 28 ( 27 equ; 3 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dist_meet,hypothesis,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(lhs4,axiom,
meet(xx,zz) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs4) ).
cnf(x_join_0,axiom,
join(X1,n0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_join_0) ).
cnf(lhs3,axiom,
meet(xx,yy) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs3) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(lhs1,axiom,
join(xx,yy) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
cnf(x_meet_1,axiom,
meet(X1,n1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_meet_1) ).
cnf(rhs,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
cnf(lhs2,axiom,
join(xx,zz) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
cnf(c_0_10,hypothesis,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
dist_meet ).
cnf(c_0_11,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_12,hypothesis,
join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
meet(xx,zz) = n0,
lhs4 ).
cnf(c_0_14,axiom,
join(X1,n0) = X1,
x_join_0 ).
cnf(c_0_15,axiom,
meet(xx,yy) = n0,
lhs3 ).
cnf(c_0_16,hypothesis,
meet(zz,join(X1,xx)) = meet(zz,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_18,hypothesis,
meet(yy,join(X1,xx)) = meet(yy,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]) ).
cnf(c_0_19,hypothesis,
meet(zz,join(xx,X1)) = meet(zz,X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
join(xx,yy) = n1,
lhs1 ).
cnf(c_0_21,axiom,
meet(X1,n1) = X1,
x_meet_1 ).
cnf(c_0_22,negated_conjecture,
yy != zz,
inference(fof_simplification,[status(thm)],[rhs]) ).
cnf(c_0_23,hypothesis,
meet(yy,join(xx,X1)) = meet(yy,X1),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_24,axiom,
join(xx,zz) = n1,
lhs2 ).
cnf(c_0_25,hypothesis,
meet(yy,zz) = zz,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_11]) ).
cnf(c_0_26,negated_conjecture,
yy != zz,
c_0_22 ).
cnf(c_0_27,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]),c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 23:03:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.59/0.51 % Version: 3.5.1
% 0.59/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.59/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.59/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.59/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.59/0.51 % Starting sh5l with 300s (1) cores
% 0.59/0.51 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 824875 completed with status 0
% 0.59/0.51 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.59/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.59/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.59/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.51 % No SInE strategy applied
% 0.59/0.51 % Search class: FHUPM-FFSS22-SFFFFFNN
% 0.59/0.51 % partial match(1): FHUSM-FFSS22-SFFFFFNN
% 0.59/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.59/0.51 % Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.59/0.51 % Starting new_bool_3 with 136s (1) cores
% 0.59/0.51 % Starting new_bool_1 with 136s (1) cores
% 0.59/0.51 % new_bool_3 with pid 824884 completed with status 0
% 0.59/0.51 % Result found by new_bool_3
% 0.59/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.59/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.59/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.51 % No SInE strategy applied
% 0.59/0.51 % Search class: FHUPM-FFSS22-SFFFFFNN
% 0.59/0.51 % partial match(1): FHUSM-FFSS22-SFFFFFNN
% 0.59/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.59/0.51 % Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.59/0.51 % Starting new_bool_3 with 136s (1) cores
% 0.59/0.51 % Preprocessing time : 0.001 s
% 0.59/0.51 % Presaturation interreduction done
% 0.59/0.51
% 0.59/0.51 % Proof found!
% 0.59/0.51 % SZS status Unsatisfiable
% 0.59/0.51 % SZS output start CNFRefutation
% See solution above
% 0.59/0.51 % Parsed axioms : 20
% 0.59/0.51 % Removed by relevancy pruning/SinE : 0
% 0.59/0.51 % Initial clauses : 20
% 0.59/0.51 % Removed in clause preprocessing : 0
% 0.59/0.51 % Initial clauses in saturation : 20
% 0.59/0.51 % Processed clauses : 524
% 0.59/0.51 % ...of these trivial : 137
% 0.59/0.51 % ...subsumed : 209
% 0.59/0.51 % ...remaining for further processing : 178
% 0.59/0.51 % Other redundant clauses eliminated : 25
% 0.59/0.51 % Clauses deleted for lack of memory : 0
% 0.59/0.51 % Backward-subsumed : 0
% 0.59/0.51 % Backward-rewritten : 32
% 0.59/0.51 % Generated clauses : 6059
% 0.59/0.51 % ...of the previous two non-redundant : 3162
% 0.59/0.51 % ...aggressively subsumed : 0
% 0.59/0.51 % Contextual simplify-reflections : 0
% 0.59/0.51 % Paramodulations : 6034
% 0.59/0.51 % Factorizations : 0
% 0.59/0.51 % NegExts : 0
% 0.59/0.51 % Equation resolutions : 25
% 0.59/0.51 % Disequality decompositions : 0
% 0.59/0.51 % Total rewrite steps : 8483
% 0.59/0.51 % ...of those cached : 6628
% 0.59/0.51 % Propositional unsat checks : 0
% 0.59/0.51 % Propositional check models : 0
% 0.59/0.51 % Propositional check unsatisfiable : 0
% 0.59/0.51 % Propositional clauses : 0
% 0.59/0.51 % Propositional clauses after purity: 0
% 0.59/0.51 % Propositional unsat core size : 0
% 0.59/0.51 % Propositional preprocessing time : 0.000
% 0.59/0.51 % Propositional encoding time : 0.000
% 0.59/0.51 % Propositional solver time : 0.000
% 0.59/0.51 % Success case prop preproc time : 0.000
% 0.59/0.51 % Success case prop encoding time : 0.000
% 0.59/0.51 % Success case prop solver time : 0.000
% 0.59/0.51 % Current number of processed clauses : 126
% 0.59/0.51 % Positive orientable unit clauses : 87
% 0.59/0.51 % Positive unorientable unit clauses: 6
% 0.59/0.51 % Negative unit clauses : 1
% 0.59/0.51 % Non-unit-clauses : 32
% 0.59/0.51 % Current number of unprocessed clauses: 2604
% 0.59/0.51 % ...number of literals in the above : 3405
% 0.59/0.51 % Current number of archived formulas : 0
% 0.59/0.51 % Current number of archived clauses : 52
% 0.59/0.51 % Clause-clause subsumption calls (NU) : 708
% 0.59/0.51 % Rec. Clause-clause subsumption calls : 708
% 0.59/0.51 % Non-unit clause-clause subsumptions : 130
% 0.59/0.51 % Unit Clause-clause subsumption calls : 48
% 0.59/0.51 % Rewrite failures with RHS unbound : 0
% 0.59/0.51 % BW rewrite match attempts : 317
% 0.59/0.51 % BW rewrite match successes : 237
% 0.59/0.51 % Condensation attempts : 0
% 0.59/0.51 % Condensation successes : 0
% 0.59/0.51 % Termbank termtop insertions : 51647
% 0.59/0.51 % Search garbage collected termcells : 5
% 0.59/0.51
% 0.59/0.51 % -------------------------------------------------
% 0.59/0.51 % User time : 0.055 s
% 0.59/0.51 % System time : 0.010 s
% 0.59/0.51 % Total time : 0.065 s
% 0.59/0.51 % Maximum resident set size: 3640 pages
% 0.59/0.51
% 0.59/0.51 % -------------------------------------------------
% 0.59/0.51 % User time : 0.292 s
% 0.59/0.51 % System time : 0.032 s
% 0.59/0.51 % Total time : 0.325 s
% 0.59/0.51 % Maximum resident set size: 4608 pages
% 0.59/0.51 % E exiting
%------------------------------------------------------------------------------