%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:40:58 PM UTC 2026
% Result : Unsatisfiable 1.00s 0.58s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 4 RR)
% Number of literals : 24 ( 23 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c08,axiom,
mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_7,axiom,
mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2),
c08 ).
cnf(c_0_8,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_9,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_10,plain,
mult(mult(X1,mult(X1,X2)),X1) = mult(X1,mult(X1,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_11,plain,
rd(mult(X1,mult(X1,mult(X2,X1))),X1) = mult(X1,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_13,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_14,plain,
mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
ld(X1,rd(mult(X1,mult(X1,X2)),X1)) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_17,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X1,rd(ld(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
mult(X1,rd(ld(X1,ld(X1,X2)),X1)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_20,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_18]),c_0_16]),c_0_12]),c_0_16]) ).
cnf(c_0_21,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
c_0_19 ).
cnf(c_0_22,plain,
mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n014.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 20 20:34:06 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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
% 1.00/0.58 % Version: 3.5.1
% 1.00/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 1.00/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.00/0.58 % Starting new_bool_3 with 300s (1) cores
% 1.00/0.58 % Starting new_bool_1 with 300s (1) cores
% 1.00/0.58 % Starting sh5l with 300s (1) cores
% 1.00/0.58 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2312127 completed with status 0
% 1.00/0.58 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.00/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 1.00/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.00/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.00/0.58 % No SInE strategy applied
% 1.00/0.58 % Search class: FUUPM-FFSF22-MFFFFFNN
% 1.00/0.58 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.00/0.58 % Starting SubtermCWHack with 136s (1) cores
% 1.00/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.00/0.58 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 1.00/0.58 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.00/0.58 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.00/0.58 % U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2312139 completed with status 0
% 1.00/0.58 % Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.00/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 1.00/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.00/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.00/0.58 % No SInE strategy applied
% 1.00/0.58 % Search class: FUUPM-FFSF22-MFFFFFNN
% 1.00/0.58 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.00/0.58 % Starting SubtermCWHack with 136s (1) cores
% 1.00/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.00/0.58 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 1.00/0.58 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.00/0.58 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.00/0.58 % Preprocessing time : 0.001 s
% 1.00/0.58 % Presaturation interreduction done
% 1.00/0.58
% 1.00/0.58 % Proof found!
% 1.00/0.58 % SZS status Unsatisfiable
% 1.00/0.58 % SZS output start CNFRefutation
% See solution above
% 1.00/0.58 % Parsed axioms : 9
% 1.00/0.58 % Removed by relevancy pruning/SinE : 0
% 1.00/0.58 % Initial clauses : 9
% 1.00/0.58 % Removed in clause preprocessing : 0
% 1.00/0.58 % Initial clauses in saturation : 9
% 1.00/0.58 % Processed clauses : 283
% 1.00/0.58 % ...of these trivial : 110
% 1.00/0.58 % ...subsumed : 4
% 1.00/0.58 % ...remaining for further processing : 169
% 1.00/0.58 % Other redundant clauses eliminated : 0
% 1.00/0.58 % Clauses deleted for lack of memory : 0
% 1.00/0.58 % Backward-subsumed : 0
% 1.00/0.58 % Backward-rewritten : 38
% 1.00/0.58 % Generated clauses : 7094
% 1.00/0.58 % ...of the previous two non-redundant : 4909
% 1.00/0.58 % ...aggressively subsumed : 0
% 1.00/0.58 % Contextual simplify-reflections : 0
% 1.00/0.58 % Paramodulations : 7094
% 1.00/0.58 % Factorizations : 0
% 1.00/0.58 % NegExts : 0
% 1.00/0.58 % Equation resolutions : 0
% 1.00/0.58 % Disequality decompositions : 0
% 1.00/0.58 % Total rewrite steps : 16086
% 1.00/0.58 % ...of those cached : 15059
% 1.00/0.58 % Propositional unsat checks : 0
% 1.00/0.58 % Propositional check models : 0
% 1.00/0.58 % Propositional check unsatisfiable : 0
% 1.00/0.58 % Propositional clauses : 0
% 1.00/0.58 % Propositional clauses after purity: 0
% 1.00/0.58 % Propositional unsat core size : 0
% 1.00/0.58 % Propositional preprocessing time : 0.000
% 1.00/0.58 % Propositional encoding time : 0.000
% 1.00/0.58 % Propositional solver time : 0.000
% 1.00/0.58 % Success case prop preproc time : 0.000
% 1.00/0.58 % Success case prop encoding time : 0.000
% 1.00/0.58 % Success case prop solver time : 0.000
% 1.00/0.58 % Current number of processed clauses : 122
% 1.00/0.58 % Positive orientable unit clauses : 121
% 1.00/0.58 % Positive unorientable unit clauses: 1
% 1.00/0.58 % Negative unit clauses : 0
% 1.00/0.58 % Non-unit-clauses : 0
% 1.00/0.58 % Current number of unprocessed clauses: 4612
% 1.00/0.58 % ...number of literals in the above : 4612
% 1.00/0.58 % Current number of archived formulas : 0
% 1.00/0.58 % Current number of archived clauses : 47
% 1.00/0.58 % Clause-clause subsumption calls (NU) : 0
% 1.00/0.58 % Rec. Clause-clause subsumption calls : 0
% 1.00/0.58 % Non-unit clause-clause subsumptions : 0
% 1.00/0.58 % Unit Clause-clause subsumption calls : 10
% 1.00/0.58 % Rewrite failures with RHS unbound : 0
% 1.00/0.58 % BW rewrite match attempts : 182
% 1.00/0.58 % BW rewrite match successes : 72
% 1.00/0.58 % Condensation attempts : 0
% 1.00/0.58 % Condensation successes : 0
% 1.00/0.58 % Termbank termtop insertions : 105737
% 1.00/0.58 % Search garbage collected termcells : 2
% 1.00/0.58
% 1.00/0.58 % -------------------------------------------------
% 1.00/0.58 % User time : 0.085 s
% 1.00/0.58 % System time : 0.011 s
% 1.00/0.58 % Total time : 0.095 s
% 1.00/0.58 % Maximum resident set size: 3604 pages
% 1.00/0.58
% 1.00/0.58 % -------------------------------------------------
% 1.00/0.58 % User time : 0.415 s
% 1.00/0.58 % System time : 0.046 s
% 1.00/0.58 % Total time : 0.461 s
% 1.00/0.58 % Maximum resident set size: 4864 pages
% 1.00/0.58 % E exiting
%------------------------------------------------------------------------------