%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:44:42 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.53s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 10 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goals,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c09,axiom,
mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c_0_4,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_5,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_6,axiom,
mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2),
c09 ).
cnf(c_0_7,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_8,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
c_0_4 ).
cnf(c_0_9,plain,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_5]),c_0_5]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n001.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 20 20:37:27 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.48 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
% 0.17/0.53 % Version: 3.5.1
% 0.17/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.53 % Starting sh5l with 300s (1) cores
% 0.17/0.53 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1368164 completed with status 0
% 0.17/0.53 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.53 % No SInE strategy applied
% 0.17/0.53 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.17/0.53 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.53 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.17/0.53 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.17/0.53 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.17/0.53 % U----_043_B31_F1_PI_AE_CS_SP_S2S with pid 1368173 completed with status 0
% 0.17/0.53 % Result found by U----_043_B31_F1_PI_AE_CS_SP_S2S
% 0.17/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.53 % No SInE strategy applied
% 0.17/0.53 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.17/0.53 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.53 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.17/0.53 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.17/0.53 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.17/0.53 % Preprocessing time : 0.002 s
% 0.17/0.53
% 0.17/0.53 % Proof found!
% 0.17/0.53 % SZS status Unsatisfiable
% 0.17/0.53 % SZS output start CNFRefutation
% See solution above
% 0.17/0.53 % Parsed axioms : 10
% 0.17/0.53 % Removed by relevancy pruning/SinE : 0
% 0.17/0.53 % Initial clauses : 10
% 0.17/0.53 % Removed in clause preprocessing : 0
% 0.17/0.53 % Initial clauses in saturation : 10
% 0.17/0.53 % Processed clauses : 23
% 0.17/0.53 % ...of these trivial : 2
% 0.17/0.53 % ...subsumed : 0
% 0.17/0.53 % ...remaining for further processing : 21
% 0.17/0.53 % Other redundant clauses eliminated : 0
% 0.17/0.53 % Clauses deleted for lack of memory : 0
% 0.17/0.53 % Backward-subsumed : 0
% 0.17/0.53 % Backward-rewritten : 7
% 0.17/0.53 % Generated clauses : 84
% 0.17/0.53 % ...of the previous two non-redundant : 59
% 0.17/0.53 % ...aggressively subsumed : 0
% 0.17/0.53 % Contextual simplify-reflections : 0
% 0.17/0.53 % Paramodulations : 84
% 0.17/0.53 % Factorizations : 0
% 0.17/0.53 % NegExts : 0
% 0.17/0.53 % Equation resolutions : 0
% 0.17/0.53 % Disequality decompositions : 0
% 0.17/0.53 % Total rewrite steps : 53
% 0.17/0.53 % ...of those cached : 26
% 0.17/0.53 % Propositional unsat checks : 0
% 0.17/0.53 % Propositional check models : 0
% 0.17/0.53 % Propositional check unsatisfiable : 0
% 0.17/0.53 % Propositional clauses : 0
% 0.17/0.53 % Propositional clauses after purity: 0
% 0.17/0.53 % Propositional unsat core size : 0
% 0.17/0.53 % Propositional preprocessing time : 0.000
% 0.17/0.53 % Propositional encoding time : 0.000
% 0.17/0.53 % Propositional solver time : 0.000
% 0.17/0.53 % Success case prop preproc time : 0.000
% 0.17/0.53 % Success case prop encoding time : 0.000
% 0.17/0.53 % Success case prop solver time : 0.000
% 0.17/0.53 % Current number of processed clauses : 14
% 0.17/0.53 % Positive orientable unit clauses : 14
% 0.17/0.53 % Positive unorientable unit clauses: 0
% 0.17/0.53 % Negative unit clauses : 0
% 0.17/0.53 % Non-unit-clauses : 0
% 0.17/0.53 % Current number of unprocessed clauses: 27
% 0.17/0.53 % ...number of literals in the above : 27
% 0.17/0.53 % Current number of archived formulas : 0
% 0.17/0.53 % Current number of archived clauses : 7
% 0.17/0.53 % Clause-clause subsumption calls (NU) : 0
% 0.17/0.53 % Rec. Clause-clause subsumption calls : 0
% 0.17/0.53 % Non-unit clause-clause subsumptions : 0
% 0.17/0.53 % Unit Clause-clause subsumption calls : 0
% 0.17/0.53 % Rewrite failures with RHS unbound : 0
% 0.17/0.53 % BW rewrite match attempts : 13
% 0.17/0.53 % BW rewrite match successes : 6
% 0.17/0.53 % Condensation attempts : 0
% 0.17/0.53 % Condensation successes : 0
% 0.17/0.53 % Termbank termtop insertions : 709
% 0.17/0.53 % Search garbage collected termcells : 2
% 0.17/0.53
% 0.17/0.53 % -------------------------------------------------
% 0.17/0.53 % User time : 0.004 s
% 0.17/0.53 % System time : 0.005 s
% 0.17/0.53 % Total time : 0.010 s
% 0.17/0.53 % Maximum resident set size: 3380 pages
% 0.17/0.53
% 0.17/0.53 % -------------------------------------------------
% 0.17/0.53 % User time : 0.020 s
% 0.17/0.53 % System time : 0.019 s
% 0.17/0.53 % Total time : 0.039 s
% 0.17/0.53 % Maximum resident set size: 4608 pages
% 0.17/0.53 % E exiting
%------------------------------------------------------------------------------