%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT038-1 : 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 : 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 01:04:06 PM UTC 2026
% Result : Unsatisfiable 0.93s 0.65s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 16 RR)
% Number of literals : 37 ( 36 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(lhs2,hypothesis,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
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(lhs1,hypothesis,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
cnf(f_on_left_join,axiom,
f(join(X1,X2),X3) = join(f(X1,X3),f(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_left_join) ).
cnf(rhs,negated_conjecture,
f(aa,dd) != f(cc,dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
cnf(c_0_10,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_11,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_12,hypothesis,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
lhs2 ).
cnf(c_0_13,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_14,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_15,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,hypothesis,
meet(f(bb,dd),f(aa,dd)) = meet(f(bb,dd),f(cc,dd)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11]),c_0_11]) ).
cnf(c_0_17,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
join(f(aa,dd),meet(f(bb,dd),f(cc,dd))) = f(aa,dd),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_20,hypothesis,
meet(f(bb,dd),meet(f(cc,dd),f(aa,dd))) = meet(f(bb,dd),f(cc,dd)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,hypothesis,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
dist_meet ).
cnf(c_0_22,hypothesis,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
lhs1 ).
cnf(c_0_23,hypothesis,
join(meet(f(bb,dd),f(cc,dd)),meet(f(cc,dd),f(aa,dd))) = meet(f(cc,dd),f(aa,dd)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_14]) ).
cnf(c_0_24,hypothesis,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_25,axiom,
f(join(X1,X2),X3) = join(f(X1,X3),f(X2,X3)),
f_on_left_join ).
cnf(c_0_26,hypothesis,
f(join(bb,aa),dd) = f(join(bb,cc),dd),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_14]),c_0_14]) ).
cnf(c_0_27,hypothesis,
meet(f(cc,dd),f(join(bb,cc),dd)) = meet(f(cc,dd),f(aa,dd)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_28,plain,
meet(f(X1,X2),f(join(X3,X1),X2)) = f(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_29,hypothesis,
meet(f(cc,dd),f(aa,dd)) = f(cc,dd),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,hypothesis,
meet(f(aa,dd),join(f(cc,dd),X1)) = join(f(cc,dd),meet(f(aa,dd),X1)),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_31,hypothesis,
join(f(cc,dd),meet(f(aa,dd),f(X1,dd))) = meet(f(aa,dd),f(join(cc,X1),dd)),
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
f(aa,dd) != f(cc,dd),
inference(fof_simplification,[status(thm)],[rhs]) ).
cnf(c_0_33,hypothesis,
join(f(cc,dd),meet(f(X1,dd),f(aa,dd))) = meet(f(aa,dd),f(join(cc,X1),dd)),
inference(spm,[status(thm)],[c_0_31,c_0_11]) ).
cnf(c_0_34,hypothesis,
meet(f(aa,dd),f(join(bb,cc),dd)) = f(aa,dd),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
f(aa,dd) != f(cc,dd),
c_0_32 ).
cnf(c_0_36,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_16]),c_0_15]),c_0_14]),c_0_34]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:07:37 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.40 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
% 0.93/0.65 % Version: 3.5.1
% 0.93/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.93/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.93/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.93/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.93/0.65 % Starting sh5l with 300s (1) cores
% 0.93/0.65 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1050533 completed with status 0
% 0.93/0.65 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.93/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.93/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.93/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.93/0.65 % No SInE strategy applied
% 0.93/0.65 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.93/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.93/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.93/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.93/0.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.93/0.65 % Starting new_bool_3 with 136s (1) cores
% 0.93/0.65 % Starting new_bool_1 with 136s (1) cores
% 0.93/0.65 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1050540 completed with status 0
% 0.93/0.65 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.93/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.93/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.93/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.93/0.65 % No SInE strategy applied
% 0.93/0.65 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.93/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.93/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.93/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.93/0.65 % Preprocessing time : 0.001 s
% 0.93/0.65 % Presaturation interreduction done
% 0.93/0.65
% 0.93/0.65 % Proof found!
% 0.93/0.65 % SZS status Unsatisfiable
% 0.93/0.65 % SZS output start CNFRefutation
% See solution above
% 0.93/0.65 % Parsed axioms : 17
% 0.93/0.65 % Removed by relevancy pruning/SinE : 0
% 0.93/0.65 % Initial clauses : 17
% 0.93/0.65 % Removed in clause preprocessing : 0
% 0.93/0.65 % Initial clauses in saturation : 17
% 0.93/0.65 % Processed clauses : 1083
% 0.93/0.65 % ...of these trivial : 567
% 0.93/0.65 % ...subsumed : 237
% 0.93/0.65 % ...remaining for further processing : 279
% 0.93/0.65 % Other redundant clauses eliminated : 0
% 0.93/0.65 % Clauses deleted for lack of memory : 0
% 0.93/0.65 % Backward-subsumed : 0
% 0.93/0.65 % Backward-rewritten : 32
% 0.93/0.65 % Generated clauses : 21142
% 0.93/0.65 % ...of the previous two non-redundant : 12948
% 0.93/0.65 % ...aggressively subsumed : 0
% 0.93/0.65 % Contextual simplify-reflections : 0
% 0.93/0.65 % Paramodulations : 21142
% 0.93/0.65 % Factorizations : 0
% 0.93/0.65 % NegExts : 0
% 0.93/0.65 % Equation resolutions : 0
% 0.93/0.65 % Disequality decompositions : 0
% 0.93/0.65 % Total rewrite steps : 24873
% 0.93/0.65 % ...of those cached : 17621
% 0.93/0.65 % Propositional unsat checks : 0
% 0.93/0.65 % Propositional check models : 0
% 0.93/0.65 % Propositional check unsatisfiable : 0
% 0.93/0.65 % Propositional clauses : 0
% 0.93/0.65 % Propositional clauses after purity: 0
% 0.93/0.65 % Propositional unsat core size : 0
% 0.93/0.65 % Propositional preprocessing time : 0.000
% 0.93/0.65 % Propositional encoding time : 0.000
% 0.93/0.65 % Propositional solver time : 0.000
% 0.93/0.65 % Success case prop preproc time : 0.000
% 0.93/0.65 % Success case prop encoding time : 0.000
% 0.93/0.65 % Success case prop solver time : 0.000
% 0.93/0.65 % Current number of processed clauses : 230
% 0.93/0.65 % Positive orientable unit clauses : 221
% 0.93/0.65 % Positive unorientable unit clauses: 8
% 0.93/0.65 % Negative unit clauses : 1
% 0.93/0.65 % Non-unit-clauses : 0
% 0.93/0.65 % Current number of unprocessed clauses: 11761
% 0.93/0.65 % ...number of literals in the above : 11761
% 0.93/0.65 % Current number of archived formulas : 0
% 0.93/0.65 % Current number of archived clauses : 49
% 0.93/0.65 % Clause-clause subsumption calls (NU) : 0
% 0.93/0.65 % Rec. Clause-clause subsumption calls : 0
% 0.93/0.65 % Non-unit clause-clause subsumptions : 0
% 0.93/0.65 % Unit Clause-clause subsumption calls : 54
% 0.93/0.65 % Rewrite failures with RHS unbound : 0
% 0.93/0.65 % BW rewrite match attempts : 829
% 0.93/0.65 % BW rewrite match successes : 338
% 0.93/0.65 % Condensation attempts : 0
% 0.93/0.65 % Condensation successes : 0
% 0.93/0.65 % Termbank termtop insertions : 289763
% 0.93/0.65 % Search garbage collected termcells : 2
% 0.93/0.65
% 0.93/0.65 % -------------------------------------------------
% 0.93/0.65 % User time : 0.202 s
% 0.93/0.65 % System time : 0.014 s
% 0.93/0.65 % Total time : 0.216 s
% 0.93/0.65 % Maximum resident set size: 3640 pages
% 0.93/0.65
% 0.93/0.65 % -------------------------------------------------
% 0.93/0.65 % User time : 0.746 s
% 0.93/0.65 % System time : 0.065 s
% 0.93/0.65 % Total time : 0.811 s
% 0.93/0.65 % Maximum resident set size: 4864 pages
% 0.93/0.65 % E exiting
%------------------------------------------------------------------------------