%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:37:27 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 18 unt; 0 nHn; 18 RR)
% Number of literals : 37 ( 7 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(total_function2,axiom,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(inverses_have_property,hypothesis,
( ~ product(inverse(X1),inverse(X2),X3)
| product(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverses_have_property) ).
cnf(right_identity,axiom,
product(X1,identity,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(left_inverse,axiom,
product(inverse(X1),X1,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(a_times_b_is_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(inverse_a_times_inverse_b_is_d,hypothesis,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_a_times_inverse_b_is_d) ).
cnf(prove_c_times_d_is_identity,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_times_d_is_identity) ).
cnf(squareness,hypothesis,
product(X1,X1,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',squareness) ).
cnf(c_0_8,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
inference(fof_simplification,[status(thm)],[total_function2]) ).
cnf(c_0_9,hypothesis,
( ~ product(inverse(X1),inverse(X2),X3)
| product(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[inverses_have_property]) ).
cnf(c_0_10,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
c_0_8 ).
cnf(c_0_11,axiom,
product(X1,identity,X1),
right_identity ).
cnf(c_0_12,hypothesis,
( ~ product(inverse(X1),inverse(X2),X3)
| product(X1,X3,X2) ),
c_0_9 ).
cnf(c_0_13,axiom,
product(inverse(X1),X1,identity),
left_inverse ).
cnf(c_0_14,plain,
( ~ product(X2,identity,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
product(inverse(X1),identity,X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
product(a,b,c),
a_times_b_is_c ).
cnf(c_0_17,hypothesis,
product(inverse(a),inverse(b),d),
inverse_a_times_inverse_b_is_d ).
cnf(c_0_18,hypothesis,
inverse(X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ product(c,d,identity),
inference(fof_simplification,[status(thm)],[prove_c_times_d_is_identity]) ).
cnf(c_0_20,hypothesis,
( ~ product(a,b,X1)
| X1 = c ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_21,hypothesis,
product(a,b,d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ product(c,d,identity),
c_0_19 ).
cnf(c_0_23,hypothesis,
d = c,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,hypothesis,
product(X1,X1,identity),
squareness ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n013.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 19:53:19 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 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
% 0.14/10.44 % Version: 3.5.1
% 0.14/10.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.44 % Starting sh5l with 300s (1) cores
% 0.14/10.44 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3271630 completed with status 0
% 0.14/10.44 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/10.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.44 % No SInE strategy applied
% 0.14/10.44 % Search class: FHUSM-FFSF21-SFFFFFNN
% 0.14/10.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.14/10.44 % Starting new_bool_3 with 136s (1) cores
% 0.14/10.44 % Starting new_bool_1 with 136s (1) cores
% 0.14/10.44 % new_bool_1 with pid 3271638 completed with status 0
% 0.14/10.44 % Result found by new_bool_1
% 0.14/10.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.44 % No SInE strategy applied
% 0.14/10.44 % Search class: FHUSM-FFSF21-SFFFFFNN
% 0.14/10.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.14/10.44 % Starting new_bool_3 with 136s (1) cores
% 0.14/10.44 % Starting new_bool_1 with 136s (1) cores
% 0.14/10.44 % Preprocessing time : 0.001 s
% 0.14/10.44 % Presaturation interreduction done
% 0.14/10.44
% 0.14/10.44 % Proof found!
% 0.14/10.44 % SZS status Unsatisfiable
% 0.14/10.44 % SZS output start CNFRefutation
% See solution above
% 0.14/10.44 % Parsed axioms : 13
% 0.14/10.44 % Removed by relevancy pruning/SinE : 0
% 0.14/10.44 % Initial clauses : 13
% 0.14/10.44 % Removed in clause preprocessing : 0
% 0.14/10.44 % Initial clauses in saturation : 13
% 0.14/10.44 % Processed clauses : 40
% 0.14/10.44 % ...of these trivial : 0
% 0.14/10.44 % ...subsumed : 0
% 0.14/10.44 % ...remaining for further processing : 40
% 0.14/10.44 % Other redundant clauses eliminated : 0
% 0.14/10.44 % Clauses deleted for lack of memory : 0
% 0.14/10.44 % Backward-subsumed : 0
% 0.14/10.44 % Backward-rewritten : 11
% 0.14/10.44 % Generated clauses : 61
% 0.14/10.44 % ...of the previous two non-redundant : 57
% 0.14/10.44 % ...aggressively subsumed : 0
% 0.14/10.44 % Contextual simplify-reflections : 0
% 0.14/10.44 % Paramodulations : 61
% 0.14/10.44 % Factorizations : 0
% 0.14/10.44 % NegExts : 0
% 0.14/10.44 % Equation resolutions : 0
% 0.14/10.44 % Disequality decompositions : 0
% 0.14/10.44 % Total rewrite steps : 28
% 0.14/10.44 % ...of those cached : 16
% 0.14/10.44 % Propositional unsat checks : 0
% 0.14/10.44 % Propositional check models : 0
% 0.14/10.44 % Propositional check unsatisfiable : 0
% 0.14/10.44 % Propositional clauses : 0
% 0.14/10.44 % Propositional clauses after purity: 0
% 0.14/10.44 % Propositional unsat core size : 0
% 0.14/10.44 % Propositional preprocessing time : 0.000
% 0.14/10.44 % Propositional encoding time : 0.000
% 0.14/10.44 % Propositional solver time : 0.000
% 0.14/10.44 % Success case prop preproc time : 0.000
% 0.14/10.44 % Success case prop encoding time : 0.000
% 0.14/10.44 % Success case prop solver time : 0.000
% 0.14/10.44 % Current number of processed clauses : 16
% 0.14/10.44 % Positive orientable unit clauses : 9
% 0.14/10.44 % Positive unorientable unit clauses: 0
% 0.14/10.44 % Negative unit clauses : 0
% 0.14/10.44 % Non-unit-clauses : 7
% 0.14/10.44 % Current number of unprocessed clauses: 36
% 0.14/10.44 % ...number of literals in the above : 92
% 0.14/10.44 % Current number of archived formulas : 0
% 0.14/10.44 % Current number of archived clauses : 24
% 0.14/10.44 % Clause-clause subsumption calls (NU) : 24
% 0.14/10.44 % Rec. Clause-clause subsumption calls : 20
% 0.14/10.44 % Non-unit clause-clause subsumptions : 0
% 0.14/10.44 % Unit Clause-clause subsumption calls : 0
% 0.14/10.44 % Rewrite failures with RHS unbound : 0
% 0.14/10.44 % BW rewrite match attempts : 29
% 0.14/10.44 % BW rewrite match successes : 5
% 0.14/10.44 % Condensation attempts : 0
% 0.14/10.44 % Condensation successes : 0
% 0.14/10.44 % Termbank termtop insertions : 901
% 0.14/10.44 % Search garbage collected termcells : 21
% 0.14/10.44
% 0.14/10.44 % -------------------------------------------------
% 0.14/10.44 % User time : 0.004 s
% 0.14/10.44 % System time : 0.000 s
% 0.14/10.44 % Total time : 0.004 s
% 0.14/10.44 % Maximum resident set size: 3640 pages
% 0.14/10.44
% 0.14/10.44 % -------------------------------------------------
% 0.14/10.44 % User time : 0.016 s
% 0.14/10.44 % System time : 0.010 s
% 0.14/10.44 % Total time : 0.026 s
% 0.14/10.44 % Maximum resident set size: 4864 pages
% 0.14/10.44 % E exiting
%------------------------------------------------------------------------------