%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP551-1 : 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 : n020.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 12:44:13 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 9 RR)
% Number of literals : 23 ( 22 equ; 8 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(identity,axiom,
identity = divide(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,divide(identity,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_3,plain,
divide(divide(identity,X1),identity) = divide(identity,X1) ).
cnf(c_0_4,plain,
divide(identity,divide(identity,X1)) = divide(X1,identity) ).
cnf(c_0_5,plain,
divide(identity,divide(X1,X2)) = divide(X2,X1) ).
cnf(c_0_6,plain,
divide(divide(X1,divide(identity,X2)),X3) = divide(X1,divide(X3,X2)) ).
cnf(c_0_7,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(fof_simplification,[status(thm)],[prove_these_axioms_3]) ).
cnf(c_0_8,axiom,
identity = divide(X1,X1),
identity ).
cnf(c_0_9,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
c_0_7 ).
cnf(c_0_10,axiom,
multiply(X1,X2) = divide(X1,divide(identity,X2)),
multiply ).
cnf(c_0_11,plain,
divide(identity,divide(divide(X1,identity),X1)) = identity,
inference(rw,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_13,plain,
divide(X1,identity) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11]),c_0_3]),c_0_4]) ).
cnf(c_0_14,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(rw,[status(thm)],[c_0_12,c_0_5]) ).
cnf(c_0_15,plain,
divide(X1,divide(identity,X2)) = divide(X2,divide(identity,X1)),
inference(rw,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
divide(c3,divide(divide(identity,b3),a3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_5]) ).
cnf(c_0_17,plain,
divide(divide(identity,X1),X2) = divide(divide(identity,X2),X1),
inference(rw,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
divide(c3,divide(divide(identity,a3),b3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_19,plain,
divide(X1,divide(X2,X3)) = divide(X3,divide(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5]),c_0_6]) ).
cnf(c_0_20,negated_conjecture,
divide(b3,divide(divide(identity,a3),c3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
divide(X1,divide(divide(identity,X2),X3)) = divide(X3,divide(divide(identity,X1),X2)),
inference(rw,[status(thm)],[c_0_5]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP551-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:17:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.16/0.47 % Version: 3.5.1
% 0.16/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 % Starting sh5l with 300s (1) cores
% 0.16/0.47 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1139068 completed with status 0
% 0.16/0.47 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.16/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.47 % No SInE strategy applied
% 0.16/0.47 % Search class: FUUPS-FFSF22-MFFFFFNN
% 0.16/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0Y_ni with 136s (1) cores
% 0.16/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.16/0.47 % G-E--_208_C18_F1_SE_CS_SP_PS_S0Y_ni with pid 1139076 completed with status 0
% 0.16/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S0Y_ni
% 0.16/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.47 % No SInE strategy applied
% 0.16/0.47 % Search class: FUUPS-FFSF22-MFFFFFNN
% 0.16/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0Y_ni with 136s (1) cores
% 0.16/0.47 % Preprocessing time : 0.001 s
% 0.16/0.47 % Presaturation interreduction done
% 0.16/0.47
% 0.16/0.47 % Proof found!
% 0.16/0.47 % SZS status Unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation
% See solution above
% 0.16/0.47 % Parsed axioms : 5
% 0.16/0.47 % Removed by relevancy pruning/SinE : 0
% 0.16/0.47 % Initial clauses : 5
% 0.16/0.47 % Removed in clause preprocessing : 2
% 0.16/0.47 % Initial clauses in saturation : 3
% 0.16/0.47 % Processed clauses : 541
% 0.16/0.47 % ...of these trivial : 220
% 0.16/0.47 % ...subsumed : 270
% 0.16/0.47 % ...remaining for further processing : 51
% 0.16/0.47 % Other redundant clauses eliminated : 0
% 0.16/0.47 % Clauses deleted for lack of memory : 0
% 0.16/0.47 % Backward-subsumed : 2
% 0.16/0.47 % Backward-rewritten : 27
% 0.16/0.47 % Generated clauses : 2242
% 0.16/0.47 % ...of the previous two non-redundant : 1403
% 0.16/0.47 % ...aggressively subsumed : 0
% 0.16/0.47 % Contextual simplify-reflections : 0
% 0.16/0.47 % Paramodulations : 2242
% 0.16/0.47 % Factorizations : 0
% 0.16/0.47 % NegExts : 0
% 0.16/0.47 % Equation resolutions : 0
% 0.16/0.47 % Disequality decompositions : 0
% 0.16/0.47 % Total rewrite steps : 4145
% 0.16/0.47 % ...of those cached : 2809
% 0.16/0.47 % Propositional unsat checks : 0
% 0.16/0.47 % Propositional check models : 0
% 0.16/0.47 % Propositional check unsatisfiable : 0
% 0.16/0.47 % Propositional clauses : 0
% 0.16/0.47 % Propositional clauses after purity: 0
% 0.16/0.47 % Propositional unsat core size : 0
% 0.16/0.47 % Propositional preprocessing time : 0.000
% 0.16/0.47 % Propositional encoding time : 0.000
% 0.16/0.47 % Propositional solver time : 0.000
% 0.16/0.47 % Success case prop preproc time : 0.000
% 0.16/0.47 % Success case prop encoding time : 0.000
% 0.16/0.47 % Success case prop solver time : 0.000
% 0.16/0.47 % Current number of processed clauses : 19
% 0.16/0.47 % Positive orientable unit clauses : 13
% 0.16/0.47 % Positive unorientable unit clauses: 6
% 0.16/0.47 % Negative unit clauses : 0
% 0.16/0.47 % Non-unit-clauses : 0
% 0.16/0.47 % Current number of unprocessed clauses: 868
% 0.16/0.47 % ...number of literals in the above : 868
% 0.16/0.47 % Current number of archived formulas : 0
% 0.16/0.47 % Current number of archived clauses : 34
% 0.16/0.47 % Clause-clause subsumption calls (NU) : 0
% 0.16/0.47 % Rec. Clause-clause subsumption calls : 0
% 0.16/0.47 % Non-unit clause-clause subsumptions : 0
% 0.16/0.47 % Unit Clause-clause subsumption calls : 30
% 0.16/0.47 % Rewrite failures with RHS unbound : 0
% 0.16/0.47 % BW rewrite match attempts : 1799
% 0.16/0.47 % BW rewrite match successes : 116
% 0.16/0.47 % Condensation attempts : 0
% 0.16/0.47 % Condensation successes : 0
% 0.16/0.47 % Termbank termtop insertions : 23797
% 0.16/0.47 % Search garbage collected termcells : 2
% 0.16/0.47
% 0.16/0.47 % -------------------------------------------------
% 0.16/0.47 % User time : 0.026 s
% 0.16/0.47 % System time : 0.002 s
% 0.16/0.47 % Total time : 0.028 s
% 0.16/0.47 % Maximum resident set size: 3632 pages
% 0.16/0.47
% 0.16/0.47 % -------------------------------------------------
% 0.16/0.47 % User time : 0.116 s
% 0.16/0.47 % System time : 0.019 s
% 0.16/0.47 % Total time : 0.136 s
% 0.16/0.47 % Maximum resident set size: 4864 pages
% 0.16/0.47 % E exiting
%------------------------------------------------------------------------------