%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP748-5 : 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 : n016.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 12:41:10 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.80s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of clauses : 44 ( 37 unt; 6 nHn; 5 RR)
% Number of literals : 51 ( 50 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f07,axiom,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(f10,axiom,
mult(i(X1),X1) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
cnf(f06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(f11,axiom,
( mult(i(X1),mult(X1,X2)) = X2
| mult(X1,X2) = mult(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
cnf(f08,axiom,
mult(mult(X1,X2),i(X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(f09,axiom,
mult(X1,i(X1)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),mult(c,a)) != mult(a,mult(mult(b,c),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_9,axiom,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
f07 ).
cnf(c_0_10,axiom,
mult(i(X1),X1) = unit,
f10 ).
cnf(c_0_11,axiom,
mult(unit,X1) = X1,
f06 ).
cnf(c_0_12,plain,
mult(i(X1),mult(mult(X1,X2),X1)) = mult(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_13,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_14,axiom,
( mult(i(X1),mult(X1,X2)) = X2
| mult(X1,X2) = mult(X2,X1) ),
f11 ).
cnf(c_0_15,plain,
mult(ld(X1,X2),X1) = mult(i(X1),mult(X2,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
mult(mult(X1,X2),i(X2)) = X1,
f08 ).
cnf(c_0_17,axiom,
mult(X1,i(X1)) = unit,
f09 ).
cnf(c_0_18,plain,
( ld(X1,X2) = mult(i(X1),X2)
| mult(i(X1),mult(X2,X1)) = X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_15]) ).
cnf(c_0_19,plain,
i(i(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]) ).
cnf(c_0_20,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_21,plain,
( mult(X1,mult(X2,i(X1))) = X2
| ld(X1,X2) = mult(i(X1),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_18]),c_0_19]),c_0_16]) ).
cnf(c_0_22,plain,
( ld(X1,X2) = mult(X2,i(X1))
| ld(X1,X2) = mult(i(X1),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
( mult(X2,i(X1)) != mult(i(X1),X2)
| ld(X1,X2) = mult(i(X1),X2) ),
inference(ef,[status(thm)],[c_0_22]) ).
cnf(c_0_24,plain,
( mult(X1,X2) = mult(X2,X1)
| ld(i(X1),X2) = mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_25,plain,
mult(X1,mult(mult(X2,i(mult(X1,X2))),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_17]),c_0_11]) ).
cnf(c_0_26,plain,
ld(i(X1),X2) = mult(X1,X2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_24]) ).
cnf(c_0_27,plain,
mult(mult(X1,i(mult(X2,X1))),X1) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_28,plain,
mult(mult(X1,i(X2)),X2) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_29,plain,
ld(i(X1),mult(X2,X1)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_30,plain,
ld(X1,X2) = mult(i(X1),X2),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_31,plain,
mult(ld(X1,X2),i(X2)) = mult(X2,i(mult(X1,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_32,plain,
mult(mult(X1,i(X2)),mult(mult(X2,X3),X2)) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_9,c_0_28]) ).
cnf(c_0_33,plain,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_34,plain,
mult(X1,mult(i(X1),X2)) = X2,
inference(rw,[status(thm)],[c_0_13,c_0_30]) ).
cnf(c_0_35,plain,
mult(X1,i(mult(X2,X1))) = i(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30]),c_0_16]) ).
cnf(c_0_36,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rw,[status(thm)],[c_0_20,c_0_30]) ).
cnf(c_0_37,plain,
mult(mult(X1,i(X2)),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
i(mult(X1,i(X2))) = mult(X2,i(X1)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
mult(mult(a,b),mult(c,a)) != mult(a,mult(mult(b,c),a)),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_40,plain,
mult(mult(X1,i(X2)),mult(mult(X2,X3),X1)) = mult(X1,mult(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
mult(mult(a,b),mult(c,a)) != mult(a,mult(mult(b,c),a)),
c_0_39 ).
cnf(c_0_42,plain,
mult(mult(X1,X2),mult(X3,X1)) = mult(X1,mult(mult(X2,X3),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_19]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP748-5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 20:41:53 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.21/0.80 % Version: 3.5.1
% 0.21/0.80 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.80 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.80 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.80 % Starting sh5l with 300s (1) cores
% 0.21/0.80 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 769636 completed with status 0
% 0.21/0.80 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.80 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.80 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.80 % No SInE strategy applied
% 0.21/0.80 % Search class: FGUPM-FFSF21-MFFFFFNN
% 0.21/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.80 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.80 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.80 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.21/0.80 % Starting new_bool_3 with 136s (1) cores
% 0.21/0.80 % Starting new_bool_1 with 136s (1) cores
% 0.21/0.80 % new_bool_1 with pid 769645 completed with status 0
% 0.21/0.80 % Result found by new_bool_1
% 0.21/0.80 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.80 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.80 % No SInE strategy applied
% 0.21/0.80 % Search class: FGUPM-FFSF21-MFFFFFNN
% 0.21/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.80 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.80 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.80 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.21/0.80 % Starting new_bool_3 with 136s (1) cores
% 0.21/0.80 % Starting new_bool_1 with 136s (1) cores
% 0.21/0.80 % Preprocessing time : 0.001 s
% 0.21/0.80 % Presaturation interreduction done
% 0.21/0.80
% 0.21/0.80 % Proof found!
% 0.21/0.80 % SZS status Unsatisfiable
% 0.21/0.80 % SZS output start CNFRefutation
% See solution above
% 0.21/0.80 % Parsed axioms : 12
% 0.21/0.80 % Removed by relevancy pruning/SinE : 0
% 0.21/0.80 % Initial clauses : 12
% 0.21/0.80 % Removed in clause preprocessing : 0
% 0.21/0.80 % Initial clauses in saturation : 12
% 0.21/0.80 % Processed clauses : 619
% 0.21/0.80 % ...of these trivial : 332
% 0.21/0.80 % ...subsumed : 48
% 0.21/0.80 % ...remaining for further processing : 239
% 0.21/0.80 % Other redundant clauses eliminated : 0
% 0.21/0.80 % Clauses deleted for lack of memory : 0
% 0.21/0.80 % Backward-subsumed : 10
% 0.21/0.80 % Backward-rewritten : 119
% 0.21/0.80 % Generated clauses : 21927
% 0.21/0.80 % ...of the previous two non-redundant : 15605
% 0.21/0.80 % ...aggressively subsumed : 0
% 0.21/0.80 % Contextual simplify-reflections : 1
% 0.21/0.80 % Paramodulations : 21921
% 0.21/0.80 % Factorizations : 2
% 0.21/0.80 % NegExts : 0
% 0.21/0.80 % Equation resolutions : 4
% 0.21/0.80 % Disequality decompositions : 0
% 0.21/0.80 % Total rewrite steps : 51309
% 0.21/0.80 % ...of those cached : 46944
% 0.21/0.80 % Propositional unsat checks : 0
% 0.21/0.80 % Propositional check models : 0
% 0.21/0.80 % Propositional check unsatisfiable : 0
% 0.21/0.80 % Propositional clauses : 0
% 0.21/0.80 % Propositional clauses after purity: 0
% 0.21/0.80 % Propositional unsat core size : 0
% 0.21/0.80 % Propositional preprocessing time : 0.000
% 0.21/0.80 % Propositional encoding time : 0.000
% 0.21/0.80 % Propositional solver time : 0.000
% 0.21/0.80 % Success case prop preproc time : 0.000
% 0.21/0.80 % Success case prop encoding time : 0.000
% 0.21/0.80 % Success case prop solver time : 0.000
% 0.21/0.80 % Current number of processed clauses : 98
% 0.21/0.80 % Positive orientable unit clauses : 97
% 0.21/0.80 % Positive unorientable unit clauses: 0
% 0.21/0.80 % Negative unit clauses : 0
% 0.21/0.80 % Non-unit-clauses : 1
% 0.21/0.80 % Current number of unprocessed clauses: 14128
% 0.21/0.80 % ...number of literals in the above : 16290
% 0.21/0.80 % Current number of archived formulas : 0
% 0.21/0.80 % Current number of archived clauses : 141
% 0.21/0.80 % Clause-clause subsumption calls (NU) : 222
% 0.21/0.80 % Rec. Clause-clause subsumption calls : 218
% 0.21/0.80 % Non-unit clause-clause subsumptions : 49
% 0.21/0.80 % Unit Clause-clause subsumption calls : 112
% 0.21/0.80 % Rewrite failures with RHS unbound : 0
% 0.21/0.80 % BW rewrite match attempts : 747
% 0.21/0.80 % BW rewrite match successes : 103
% 0.21/0.80 % Condensation attempts : 0
% 0.21/0.80 % Condensation successes : 0
% 0.21/0.80 % Termbank termtop insertions : 362107
% 0.21/0.80 % Search garbage collected termcells : 2
% 0.21/0.80
% 0.21/0.80 % -------------------------------------------------
% 0.21/0.80 % User time : 0.292 s
% 0.21/0.80 % System time : 0.014 s
% 0.21/0.80 % Total time : 0.306 s
% 0.21/0.80 % Maximum resident set size: 3636 pages
% 0.21/0.80
% 0.21/0.80 % -------------------------------------------------
% 0.21/0.80 % User time : 1.375 s
% 0.21/0.80 % System time : 0.075 s
% 0.21/0.80 % Total time : 1.450 s
% 0.21/0.80 % Maximum resident set size: 4608 pages
% 0.21/0.80 % E exiting
%------------------------------------------------------------------------------