%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:07:22 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 16 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sh_1,axiom,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sh_1) ).
cnf(prove_meredith_2_basis_1,negated_conjecture,
nand(nand(a,a),nand(b,a)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_meredith_2_basis_1) ).
cnf(c_0_2,axiom,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,X1))) = X2,
sh_1 ).
cnf(c_0_3,plain,
nand(nand(nand(X1,nand(X2,X3)),nand(nand(X4,nand(X1,nand(X2,X3))),nand(X1,nand(X2,X3)))),nand(X4,X1)) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
nand(nand(nand(X1,X2),nand(nand(X3,nand(X1,X2)),nand(X1,X2))),nand(X3,X1)) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
nand(nand(nand(X1,nand(X2,X3)),nand(X1,nand(X1,nand(X2,X3)))),nand(nand(X3,nand(nand(X1,X3),X3)),nand(X4,nand(X1,nand(X2,X3))))) = nand(X3,nand(nand(X1,X3),X3)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_6,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,nand(nand(X1,X3),X3)))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_7,plain,
nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_8,plain,
nand(nand(X1,X1),nand(X1,nand(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
nand(nand(nand(X1,X2),nand(nand(nand(X2,nand(nand(X3,X2),X2)),nand(X1,X2)),nand(X1,X2))),X3) = nand(X2,nand(nand(X3,X2),X2)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_10,plain,
nand(nand(X1,nand(nand(nand(X2,X2),X1),X1)),X2) = nand(X2,X2),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,plain,
nand(nand(X1,X1),nand(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_7]),c_0_7]) ).
cnf(c_0_12,negated_conjecture,
nand(nand(a,a),nand(b,a)) != a,
inference(fof_simplification,[status(thm)],[prove_meredith_2_basis_1]) ).
cnf(c_0_13,plain,
nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_7]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
nand(nand(a,a),nand(b,a)) != a,
c_0_12 ).
cnf(c_0_15,plain,
nand(nand(X1,X1),nand(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_13]),c_0_7]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 13:54:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.43 % Version: 3.5.1
% 0.09/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % Starting sh5l with 300s (1) cores
% 0.09/0.43 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3448765 completed with status 0
% 0.09/0.43 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.09/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.09/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.43 % No SInE strategy applied
% 0.09/0.43 % Search class: FUUPF-FFSF22-MFFFFFNN
% 0.09/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.09/0.43 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 234s (1) cores
% 0.09/0.43 % Starting new_bool_3 with 234s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 234s (1) cores
% 0.09/0.43 % new_bool_1 with pid 3448773 completed with status 0
% 0.09/0.43 % Result found by new_bool_1
% 0.09/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.09/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.43 % No SInE strategy applied
% 0.09/0.43 % Search class: FUUPF-FFSF22-MFFFFFNN
% 0.09/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.09/0.43 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 234s (1) cores
% 0.09/0.43 % Starting new_bool_3 with 234s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 234s (1) cores
% 0.09/0.43 % Preprocessing time : 0.001 s
% 0.09/0.43 % Presaturation interreduction done
% 0.09/0.43
% 0.09/0.43 % Proof found!
% 0.09/0.43 % SZS status Unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation
% See solution above
% 0.09/0.43 % Parsed axioms : 2
% 0.09/0.43 % Removed by relevancy pruning/SinE : 0
% 0.09/0.43 % Initial clauses : 2
% 0.09/0.43 % Removed in clause preprocessing : 0
% 0.09/0.43 % Initial clauses in saturation : 2
% 0.09/0.43 % Processed clauses : 26
% 0.09/0.43 % ...of these trivial : 6
% 0.09/0.43 % ...subsumed : 0
% 0.09/0.43 % ...remaining for further processing : 20
% 0.09/0.43 % Other redundant clauses eliminated : 0
% 0.09/0.43 % Clauses deleted for lack of memory : 0
% 0.09/0.43 % Backward-subsumed : 0
% 0.09/0.43 % Backward-rewritten : 4
% 0.09/0.43 % Generated clauses : 512
% 0.09/0.43 % ...of the previous two non-redundant : 330
% 0.09/0.43 % ...aggressively subsumed : 0
% 0.09/0.43 % Contextual simplify-reflections : 0
% 0.09/0.43 % Paramodulations : 512
% 0.09/0.43 % Factorizations : 0
% 0.09/0.43 % NegExts : 0
% 0.09/0.43 % Equation resolutions : 0
% 0.09/0.43 % Disequality decompositions : 0
% 0.09/0.43 % Total rewrite steps : 330
% 0.09/0.43 % ...of those cached : 266
% 0.09/0.43 % Propositional unsat checks : 0
% 0.09/0.43 % Propositional check models : 0
% 0.09/0.43 % Propositional check unsatisfiable : 0
% 0.09/0.43 % Propositional clauses : 0
% 0.09/0.43 % Propositional clauses after purity: 0
% 0.09/0.43 % Propositional unsat core size : 0
% 0.09/0.43 % Propositional preprocessing time : 0.000
% 0.09/0.43 % Propositional encoding time : 0.000
% 0.09/0.43 % Propositional solver time : 0.000
% 0.09/0.43 % Success case prop preproc time : 0.000
% 0.09/0.43 % Success case prop encoding time : 0.000
% 0.09/0.43 % Success case prop solver time : 0.000
% 0.09/0.43 % Current number of processed clauses : 14
% 0.09/0.43 % Positive orientable unit clauses : 14
% 0.09/0.43 % Positive unorientable unit clauses: 0
% 0.09/0.43 % Negative unit clauses : 0
% 0.09/0.43 % Non-unit-clauses : 0
% 0.09/0.43 % Current number of unprocessed clauses: 301
% 0.09/0.43 % ...number of literals in the above : 301
% 0.09/0.43 % Current number of archived formulas : 0
% 0.09/0.43 % Current number of archived clauses : 6
% 0.09/0.43 % Clause-clause subsumption calls (NU) : 0
% 0.09/0.43 % Rec. Clause-clause subsumption calls : 0
% 0.09/0.43 % Non-unit clause-clause subsumptions : 0
% 0.09/0.43 % Unit Clause-clause subsumption calls : 0
% 0.09/0.43 % Rewrite failures with RHS unbound : 0
% 0.09/0.43 % BW rewrite match attempts : 84
% 0.09/0.43 % BW rewrite match successes : 4
% 0.09/0.43 % Condensation attempts : 0
% 0.09/0.43 % Condensation successes : 0
% 0.09/0.43 % Termbank termtop insertions : 9541
% 0.09/0.43 % Search garbage collected termcells : 2
% 0.09/0.43
% 0.09/0.43 % -------------------------------------------------
% 0.09/0.43 % User time : 0.006 s
% 0.09/0.43 % System time : 0.002 s
% 0.09/0.43 % Total time : 0.008 s
% 0.09/0.43 % Maximum resident set size: 3628 pages
% 0.09/0.43
% 0.09/0.43 % -------------------------------------------------
% 0.09/0.43 % User time : 0.042 s
% 0.09/0.43 % System time : 0.009 s
% 0.09/0.43 % Total time : 0.052 s
% 0.09/0.43 % Maximum resident set size: 4864 pages
% 0.09/0.43 % E exiting
%------------------------------------------------------------------------------