%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:38:57 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 9 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 : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(associativity_of_multiply,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP008-0.ax',associativity_of_multiply) ).
cnf(condition,hypothesis,
multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(c_0_3,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_4,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity_of_multiply ).
cnf(c_0_5,hypothesis,
multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,X1)),
condition ).
cnf(c_0_6,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
c_0_3 ).
cnf(c_0_7,hypothesis,
multiply(X1,multiply(X2,multiply(X3,multiply(X2,X3)))) = multiply(X2,multiply(X3,multiply(X2,multiply(X3,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_4]),c_0_4]) ).
cnf(c_0_8,hypothesis,
multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(X2,multiply(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:06:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 0.14/0.50 % Version: 3.5.1
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.50 % Starting sh5l with 300s (1) cores
% 0.14/0.50 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3491841 completed with status 0
% 0.14/0.50 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.50 % No SInE strategy applied
% 0.14/0.50 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.14/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.50 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.50 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.50 % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.50 % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 3491848 completed with status 0
% 0.14/0.50 % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.50 % No SInE strategy applied
% 0.14/0.50 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.14/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.50 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.50 % Preprocessing time : 0.002 s
% 0.14/0.50 % Presaturation interreduction done
% 0.14/0.50
% 0.14/0.50 % Proof found!
% 0.14/0.50 % SZS status Unsatisfiable
% 0.14/0.50 % SZS output start CNFRefutation
% See solution above
% 0.14/0.50 % Parsed axioms : 3
% 0.14/0.50 % Removed by relevancy pruning/SinE : 0
% 0.14/0.50 % Initial clauses : 3
% 0.14/0.50 % Removed in clause preprocessing : 0
% 0.14/0.50 % Initial clauses in saturation : 3
% 0.14/0.50 % Processed clauses : 10
% 0.14/0.50 % ...of these trivial : 0
% 0.14/0.50 % ...subsumed : 0
% 0.14/0.50 % ...remaining for further processing : 9
% 0.14/0.50 % Other redundant clauses eliminated : 0
% 0.14/0.50 % Clauses deleted for lack of memory : 0
% 0.14/0.50 % Backward-subsumed : 0
% 0.14/0.50 % Backward-rewritten : 0
% 0.14/0.50 % Generated clauses : 151
% 0.14/0.50 % ...of the previous two non-redundant : 146
% 0.14/0.50 % ...aggressively subsumed : 0
% 0.14/0.50 % Contextual simplify-reflections : 0
% 0.14/0.50 % Paramodulations : 151
% 0.14/0.50 % Factorizations : 0
% 0.14/0.50 % NegExts : 0
% 0.14/0.50 % Equation resolutions : 0
% 0.14/0.50 % Disequality decompositions : 0
% 0.14/0.50 % Total rewrite steps : 276
% 0.14/0.50 % ...of those cached : 110
% 0.14/0.50 % Propositional unsat checks : 0
% 0.14/0.50 % Propositional check models : 0
% 0.14/0.50 % Propositional check unsatisfiable : 0
% 0.14/0.50 % Propositional clauses : 0
% 0.14/0.50 % Propositional clauses after purity: 0
% 0.14/0.50 % Propositional unsat core size : 0
% 0.14/0.50 % Propositional preprocessing time : 0.000
% 0.14/0.50 % Propositional encoding time : 0.000
% 0.14/0.50 % Propositional solver time : 0.000
% 0.14/0.50 % Success case prop preproc time : 0.000
% 0.14/0.50 % Success case prop encoding time : 0.000
% 0.14/0.50 % Success case prop solver time : 0.000
% 0.14/0.50 % Current number of processed clauses : 6
% 0.14/0.50 % Positive orientable unit clauses : 1
% 0.14/0.50 % Positive unorientable unit clauses: 4
% 0.14/0.50 % Negative unit clauses : 1
% 0.14/0.50 % Non-unit-clauses : 0
% 0.14/0.50 % Current number of unprocessed clauses: 142
% 0.14/0.50 % ...number of literals in the above : 142
% 0.14/0.50 % Current number of archived formulas : 0
% 0.14/0.50 % Current number of archived clauses : 3
% 0.14/0.50 % Clause-clause subsumption calls (NU) : 0
% 0.14/0.50 % Rec. Clause-clause subsumption calls : 0
% 0.14/0.50 % Non-unit clause-clause subsumptions : 0
% 0.14/0.50 % Unit Clause-clause subsumption calls : 3
% 0.14/0.50 % Rewrite failures with RHS unbound : 0
% 0.14/0.50 % BW rewrite match attempts : 40
% 0.14/0.50 % BW rewrite match successes : 10
% 0.14/0.50 % Condensation attempts : 0
% 0.14/0.50 % Condensation successes : 0
% 0.14/0.50 % Termbank termtop insertions : 2371
% 0.14/0.50 % Search garbage collected termcells : 2
% 0.14/0.50
% 0.14/0.50 % -------------------------------------------------
% 0.14/0.50 % User time : 0.008 s
% 0.14/0.50 % System time : 0.004 s
% 0.14/0.50 % Total time : 0.012 s
% 0.14/0.50 % Maximum resident set size: 3636 pages
% 0.14/0.50
% 0.14/0.50 % -------------------------------------------------
% 0.14/0.50 % User time : 0.033 s
% 0.14/0.50 % System time : 0.017 s
% 0.14/0.50 % Total time : 0.050 s
% 0.14/0.50 % Maximum resident set size: 4864 pages
% 0.14/0.50 % E exiting
%------------------------------------------------------------------------------