%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : BOO003-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:06:53 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.61s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 4 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity2,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
cnf(multiplicative_inverse1,axiom,
multiply(X1,inverse(X1)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
cnf(additive_id1,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
cnf(prove_a_times_a_is_a,negated_conjecture,
multiply(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_a_is_a) ).
cnf(additive_inverse1,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_inverse1) ).
cnf(multiplicative_id1,axiom,
multiply(X1,multiplicative_identity) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
cnf(c_0_6,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
distributivity2 ).
cnf(c_0_7,axiom,
multiply(X1,inverse(X1)) = additive_identity,
multiplicative_inverse1 ).
cnf(c_0_8,axiom,
add(X1,additive_identity) = X1,
additive_id1 ).
cnf(c_0_9,negated_conjecture,
multiply(a,a) != a,
inference(fof_simplification,[status(thm)],[prove_a_times_a_is_a]) ).
cnf(c_0_10,plain,
multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
additive_inverse1 ).
cnf(c_0_12,axiom,
multiply(X1,multiplicative_identity) = X1,
multiplicative_id1 ).
cnf(c_0_13,negated_conjecture,
multiply(a,a) != a,
c_0_9 ).
cnf(c_0_14,plain,
multiply(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO003-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.54 % Computer : n005.cluster.edu
% 0.12/0.54 % Model : x86_64 x86_64
% 0.12/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.54 % Memory : 8046.5625MB
% 0.12/0.54 % OS : Linux 6.8.0-71-generic
% 0.12/0.54 % CPULimit : 300
% 0.12/0.54 % WCLimit : 300
% 0.12/0.54 % DateTime : Mon Sep 21 13:45:49 UTC 2026
% 0.12/0.54 % CPUTime :
% 0.12/0.54 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.59 Running first-order theorem proving
% 0.16/0.59 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
% 0.16/0.60 % Version: 3.5.1
% 0.16/0.60 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.60 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.60 % Starting sh5l with 300s (1) cores
% 0.16/0.60 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3635190 completed with status 0
% 0.16/0.60 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.16/0.60 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.60 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.60 % No SInE strategy applied
% 0.16/0.60 % Search class: FUUPM-FFSF21-SFFFFFNN
% 0.16/0.60 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.60 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.60 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.16/0.60 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.60 % Starting new_bool_1 with 136s (1) cores
% 0.16/0.61 % SAT001_MinMin_p005000_rr_RG with pid 3635198 completed with status 0
% 0.16/0.61 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.61 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.61 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.61 % No SInE strategy applied
% 0.16/0.61 % Search class: FUUPM-FFSF21-SFFFFFNN
% 0.16/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.61 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.61 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.16/0.61 % Preprocessing time : 0.001 s
% 0.16/0.61 % Presaturation interreduction done
% 0.16/0.61
% 0.16/0.61 % Proof found!
% 0.16/0.61 % SZS status Unsatisfiable
% 0.16/0.61 % SZS output start CNFRefutation
% See solution above
% 0.16/0.61 % Parsed axioms : 9
% 0.16/0.61 % Removed by relevancy pruning/SinE : 0
% 0.16/0.61 % Initial clauses : 9
% 0.16/0.61 % Removed in clause preprocessing : 0
% 0.16/0.61 % Initial clauses in saturation : 9
% 0.16/0.61 % Processed clauses : 30
% 0.16/0.61 % ...of these trivial : 2
% 0.16/0.61 % ...subsumed : 3
% 0.16/0.61 % ...remaining for further processing : 25
% 0.16/0.61 % Other redundant clauses eliminated : 0
% 0.16/0.61 % Clauses deleted for lack of memory : 0
% 0.16/0.61 % Backward-subsumed : 0
% 0.16/0.61 % Backward-rewritten : 1
% 0.16/0.61 % Generated clauses : 63
% 0.16/0.61 % ...of the previous two non-redundant : 42
% 0.16/0.61 % ...aggressively subsumed : 0
% 0.16/0.61 % Contextual simplify-reflections : 0
% 0.16/0.61 % Paramodulations : 63
% 0.16/0.61 % Factorizations : 0
% 0.16/0.61 % NegExts : 0
% 0.16/0.61 % Equation resolutions : 0
% 0.16/0.61 % Disequality decompositions : 0
% 0.16/0.61 % Total rewrite steps : 40
% 0.16/0.61 % ...of those cached : 18
% 0.16/0.61 % Propositional unsat checks : 0
% 0.16/0.61 % Propositional check models : 0
% 0.16/0.61 % Propositional check unsatisfiable : 0
% 0.16/0.61 % Propositional clauses : 0
% 0.16/0.61 % Propositional clauses after purity: 0
% 0.16/0.61 % Propositional unsat core size : 0
% 0.16/0.61 % Propositional preprocessing time : 0.000
% 0.16/0.61 % Propositional encoding time : 0.000
% 0.16/0.61 % Propositional solver time : 0.000
% 0.16/0.61 % Success case prop preproc time : 0.000
% 0.16/0.61 % Success case prop encoding time : 0.000
% 0.16/0.61 % Success case prop solver time : 0.000
% 0.16/0.61 % Current number of processed clauses : 15
% 0.16/0.61 % Positive orientable unit clauses : 13
% 0.16/0.61 % Positive unorientable unit clauses: 2
% 0.16/0.61 % Negative unit clauses : 0
% 0.16/0.61 % Non-unit-clauses : 0
% 0.16/0.61 % Current number of unprocessed clauses: 30
% 0.16/0.61 % ...number of literals in the above : 30
% 0.16/0.61 % Current number of archived formulas : 0
% 0.16/0.61 % Current number of archived clauses : 10
% 0.16/0.61 % Clause-clause subsumption calls (NU) : 0
% 0.16/0.61 % Rec. Clause-clause subsumption calls : 0
% 0.16/0.61 % Non-unit clause-clause subsumptions : 0
% 0.16/0.61 % Unit Clause-clause subsumption calls : 0
% 0.16/0.61 % Rewrite failures with RHS unbound : 0
% 0.16/0.61 % BW rewrite match attempts : 32
% 0.16/0.61 % BW rewrite match successes : 21
% 0.16/0.61 % Condensation attempts : 0
% 0.16/0.61 % Condensation successes : 0
% 0.16/0.61 % Termbank termtop insertions : 544
% 0.16/0.61 % Search garbage collected termcells : 2
% 0.16/0.61
% 0.16/0.61 % -------------------------------------------------
% 0.16/0.61 % User time : 0.002 s
% 0.16/0.61 % System time : 0.002 s
% 0.16/0.61 % Total time : 0.005 s
% 0.16/0.61 % Maximum resident set size: 3380 pages
% 0.16/0.61
% 0.16/0.61 % -------------------------------------------------
% 0.16/0.61 % User time : 0.014 s
% 0.16/0.61 % System time : 0.009 s
% 0.16/0.61 % Total time : 0.023 s
% 0.16/0.61 % Maximum resident set size: 4608 pages
% 0.16/0.61 % E exiting
%------------------------------------------------------------------------------