%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP708-1 : 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 : n017.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 12:41:00 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 5 RR)
% Number of literals : 19 ( 18 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c07,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c09,axiom,
mult(mult(op_c,op_c),mult(X1,X2)) = mult(mult(mult(op_c,op_c),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(goals,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c08,axiom,
mult(op_c,X1) = mult(X1,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c_0_6,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
c07 ).
cnf(c_0_7,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_8,axiom,
mult(mult(op_c,op_c),mult(X1,X2)) = mult(mult(mult(op_c,op_c),X1),X2),
c09 ).
cnf(c_0_9,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_11,axiom,
mult(op_c,X1) = mult(X1,op_c),
c08 ).
cnf(c_0_12,plain,
mult(mult(op_c,mult(op_c,X1)),X2) = mult(op_c,mult(op_c,mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).
cnf(c_0_13,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
c_0_10 ).
cnf(c_0_14,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_15,plain,
mult(op_c,mult(op_c,mult(X1,X2))) = mult(op_c,mult(X1,mult(op_c,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
mult(a,mult(op_c,b)) != mult(op_c,mult(a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11]),c_0_11]) ).
cnf(c_0_17,plain,
mult(op_c,mult(X1,X2)) = mult(X1,mult(op_c,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n017.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sun Sep 20 20:30:08 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.46 % Version: 3.5.1
% 0.15/10.46 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.46 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/10.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/10.46 % Starting sh5l with 300s (1) cores
% 0.15/10.46 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 590021 completed with status 0
% 0.15/10.46 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/10.46 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.46 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/10.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.46 % No SInE strategy applied
% 0.15/10.46 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.15/10.46 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.46 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.46 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/10.46 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.15/10.46 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/10.46 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/10.46 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 590026 completed with status 0
% 0.15/10.46 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/10.46 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.46 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/10.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.46 % No SInE strategy applied
% 0.15/10.46 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.15/10.46 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.46 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.46 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/10.46 % Preprocessing time : 0.001 s
% 0.15/10.46
% 0.15/10.46 % Proof found!
% 0.15/10.46 % SZS status Unsatisfiable
% 0.15/10.46 % SZS output start CNFRefutation
% See solution above
% 0.15/10.46 % Parsed axioms : 10
% 0.15/10.46 % Removed by relevancy pruning/SinE : 0
% 0.15/10.46 % Initial clauses : 10
% 0.15/10.46 % Removed in clause preprocessing : 0
% 0.15/10.46 % Initial clauses in saturation : 10
% 0.15/10.46 % Processed clauses : 50
% 0.15/10.46 % ...of these trivial : 6
% 0.15/10.46 % ...subsumed : 8
% 0.15/10.46 % ...remaining for further processing : 36
% 0.15/10.46 % Other redundant clauses eliminated : 0
% 0.15/10.46 % Clauses deleted for lack of memory : 0
% 0.15/10.46 % Backward-subsumed : 1
% 0.15/10.46 % Backward-rewritten : 6
% 0.15/10.46 % Generated clauses : 616
% 0.15/10.46 % ...of the previous two non-redundant : 423
% 0.15/10.46 % ...aggressively subsumed : 0
% 0.15/10.46 % Contextual simplify-reflections : 0
% 0.15/10.46 % Paramodulations : 616
% 0.15/10.46 % Factorizations : 0
% 0.15/10.46 % NegExts : 0
% 0.15/10.46 % Equation resolutions : 0
% 0.15/10.46 % Disequality decompositions : 0
% 0.15/10.46 % Total rewrite steps : 692
% 0.15/10.46 % ...of those cached : 434
% 0.15/10.46 % Propositional unsat checks : 0
% 0.15/10.46 % Propositional check models : 0
% 0.15/10.46 % Propositional check unsatisfiable : 0
% 0.15/10.46 % Propositional clauses : 0
% 0.15/10.46 % Propositional clauses after purity: 0
% 0.15/10.46 % Propositional unsat core size : 0
% 0.15/10.46 % Propositional preprocessing time : 0.000
% 0.15/10.46 % Propositional encoding time : 0.000
% 0.15/10.46 % Propositional solver time : 0.000
% 0.15/10.46 % Success case prop preproc time : 0.000
% 0.15/10.46 % Success case prop encoding time : 0.000
% 0.15/10.46 % Success case prop solver time : 0.000
% 0.15/10.46 % Current number of processed clauses : 29
% 0.15/10.46 % Positive orientable unit clauses : 25
% 0.15/10.46 % Positive unorientable unit clauses: 4
% 0.15/10.46 % Negative unit clauses : 0
% 0.15/10.46 % Non-unit-clauses : 0
% 0.15/10.46 % Current number of unprocessed clauses: 372
% 0.15/10.46 % ...number of literals in the above : 372
% 0.15/10.46 % Current number of archived formulas : 0
% 0.15/10.46 % Current number of archived clauses : 7
% 0.15/10.46 % Clause-clause subsumption calls (NU) : 0
% 0.15/10.46 % Rec. Clause-clause subsumption calls : 0
% 0.15/10.46 % Non-unit clause-clause subsumptions : 0
% 0.15/10.46 % Unit Clause-clause subsumption calls : 14
% 0.15/10.46 % Rewrite failures with RHS unbound : 0
% 0.15/10.46 % BW rewrite match attempts : 58
% 0.15/10.46 % BW rewrite match successes : 21
% 0.15/10.46 % Condensation attempts : 0
% 0.15/10.46 % Condensation successes : 0
% 0.15/10.46 % Termbank termtop insertions : 10938
% 0.15/10.46 % Search garbage collected termcells : 2
% 0.15/10.46
% 0.15/10.46 % -------------------------------------------------
% 0.15/10.46 % User time : 0.007 s
% 0.15/10.46 % System time : 0.003 s
% 0.15/10.46 % Total time : 0.010 s
% 0.15/10.46 % Maximum resident set size: 3632 pages
% 0.15/10.46
% 0.15/10.46 % -------------------------------------------------
% 0.15/10.46 % User time : 0.036 s
% 0.15/10.46 % System time : 0.011 s
% 0.15/10.46 % Total time : 0.047 s
% 0.15/10.46 % Maximum resident set size: 4864 pages
% 0.15/10.46 % E exiting
%------------------------------------------------------------------------------