%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP186-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:38:55 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.59s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 5 RR)
% Number of literals : 22 ( 21 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; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_p23x,negated_conjecture,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p23x) ).
cnf(symmetry_of_lub,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
cnf(monotony_lub1,axiom,
multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
cnf(c_0_6,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_7,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_8,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_9,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_10,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_11,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_12,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
inference(fof_simplification,[status(thm)],[prove_p23x]) ).
cnf(c_0_14,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
c_0_13 ).
cnf(c_0_16,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
symmetry_of_lub ).
cnf(c_0_17,axiom,
multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
monotony_lub1 ).
cnf(c_0_18,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
multiply(a,least_upper_bound(b,inverse(a))) != least_upper_bound(identity,multiply(a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_20,plain,
multiply(X1,least_upper_bound(X2,inverse(X1))) = least_upper_bound(identity,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP186-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n016.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 20 20:09:53 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.52 Running first-order theorem proving
% 0.26/0.52 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
% 0.26/0.59 % Version: 3.5.1
% 0.26/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.59 % Starting sh5l with 300s (1) cores
% 0.26/0.59 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 685035 completed with status 0
% 0.26/0.59 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.26/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.59 % No SInE strategy applied
% 0.26/0.59 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.26/0.59 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.26/0.59 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.26/0.59 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.26/0.59 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.26/0.59 % G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 685042 completed with status 0
% 0.26/0.59 % Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 0.26/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.59 % No SInE strategy applied
% 0.26/0.59 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.26/0.59 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.26/0.59 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.26/0.59 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.26/0.59 % Preprocessing time : 0.002 s
% 0.26/0.59
% 0.26/0.59 % Proof found!
% 0.26/0.59 % SZS status Unsatisfiable
% 0.26/0.59 % SZS output start CNFRefutation
% See solution above
% 0.26/0.59 % Parsed axioms : 16
% 0.26/0.59 % Removed by relevancy pruning/SinE : 0
% 0.26/0.59 % Initial clauses : 16
% 0.26/0.59 % Removed in clause preprocessing : 0
% 0.26/0.59 % Initial clauses in saturation : 16
% 0.26/0.59 % Processed clauses : 259
% 0.26/0.59 % ...of these trivial : 57
% 0.26/0.59 % ...subsumed : 132
% 0.26/0.59 % ...remaining for further processing : 70
% 0.26/0.59 % Other redundant clauses eliminated : 0
% 0.26/0.59 % Clauses deleted for lack of memory : 0
% 0.26/0.59 % Backward-subsumed : 0
% 0.26/0.59 % Backward-rewritten : 12
% 0.26/0.59 % Generated clauses : 1685
% 0.26/0.59 % ...of the previous two non-redundant : 1037
% 0.26/0.59 % ...aggressively subsumed : 0
% 0.26/0.59 % Contextual simplify-reflections : 0
% 0.26/0.59 % Paramodulations : 1685
% 0.26/0.59 % Factorizations : 0
% 0.26/0.59 % NegExts : 0
% 0.26/0.59 % Equation resolutions : 0
% 0.26/0.59 % Disequality decompositions : 0
% 0.26/0.59 % Total rewrite steps : 1830
% 0.26/0.59 % ...of those cached : 1201
% 0.26/0.59 % Propositional unsat checks : 0
% 0.26/0.59 % Propositional check models : 0
% 0.26/0.59 % Propositional check unsatisfiable : 0
% 0.26/0.59 % Propositional clauses : 0
% 0.26/0.59 % Propositional clauses after purity: 0
% 0.26/0.59 % Propositional unsat core size : 0
% 0.26/0.59 % Propositional preprocessing time : 0.000
% 0.26/0.59 % Propositional encoding time : 0.000
% 0.26/0.59 % Propositional solver time : 0.000
% 0.26/0.59 % Success case prop preproc time : 0.000
% 0.26/0.59 % Success case prop encoding time : 0.000
% 0.26/0.59 % Success case prop solver time : 0.000
% 0.26/0.59 % Current number of processed clauses : 58
% 0.26/0.59 % Positive orientable unit clauses : 53
% 0.26/0.59 % Positive unorientable unit clauses: 5
% 0.26/0.59 % Negative unit clauses : 0
% 0.26/0.59 % Non-unit-clauses : 0
% 0.26/0.59 % Current number of unprocessed clauses: 787
% 0.26/0.59 % ...number of literals in the above : 787
% 0.26/0.59 % Current number of archived formulas : 0
% 0.26/0.59 % Current number of archived clauses : 12
% 0.26/0.59 % Clause-clause subsumption calls (NU) : 0
% 0.26/0.59 % Rec. Clause-clause subsumption calls : 0
% 0.26/0.59 % Non-unit clause-clause subsumptions : 0
% 0.26/0.59 % Unit Clause-clause subsumption calls : 6
% 0.26/0.59 % Rewrite failures with RHS unbound : 0
% 0.26/0.59 % BW rewrite match attempts : 101
% 0.26/0.59 % BW rewrite match successes : 62
% 0.26/0.59 % Condensation attempts : 259
% 0.26/0.59 % Condensation successes : 0
% 0.26/0.59 % Termbank termtop insertions : 12454
% 0.26/0.59 % Search garbage collected termcells : 2
% 0.26/0.59
% 0.26/0.59 % -------------------------------------------------
% 0.26/0.59 % User time : 0.024 s
% 0.26/0.59 % System time : 0.008 s
% 0.26/0.59 % Total time : 0.032 s
% 0.26/0.59 % Maximum resident set size: 3384 pages
% 0.26/0.59
% 0.26/0.59 % -------------------------------------------------
% 0.26/0.59 % User time : 0.103 s
% 0.26/0.59 % System time : 0.023 s
% 0.26/0.59 % Total time : 0.126 s
% 0.26/0.59 % Maximum resident set size: 4608 pages
% 0.26/0.59 % E exiting
%------------------------------------------------------------------------------