%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : FLD032-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:22:46 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 18 unt; 6 nHn; 43 RR)
% Number of literals : 84 ( 0 equ; 41 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_inverse_multiplication,axiom,
( ~ defined(X1)
| equalish(X1,additive_identity)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(a_not_equal_to_additive_identity_2,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_2) ).
cnf(transitivity_of_equality,axiom,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( ~ defined(X1)
| equalish(X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(commutativity_multiplication,axiom,
( ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,X2),multiply(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
cnf(compatibility_of_equality_and_multiplication,axiom,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(multiply(X1,X2),multiply(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
cnf(symmetry_of_equality,axiom,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(multiplicative_inverses_equal,negated_conjecture,
equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverses_equal) ).
cnf(existence_of_identity_multiplication,axiom,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
cnf(a_not_equal_to_multiplicative_identity_4,negated_conjecture,
~ equalish(a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_multiplicative_identity_4) ).
cnf(c_0_11,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_multiplication]) ).
cnf(c_0_12,negated_conjecture,
~ equalish(a,additive_identity),
inference(fof_simplification,[status(thm)],[a_not_equal_to_additive_identity_2]) ).
cnf(c_0_13,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[transitivity_of_equality]) ).
cnf(c_0_14,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
c_0_11 ).
cnf(c_0_15,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_16,negated_conjecture,
~ equalish(a,additive_identity),
c_0_12 ).
cnf(c_0_17,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_multiplicative_inverse]) ).
cnf(c_0_18,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
c_0_13 ).
cnf(c_0_19,hypothesis,
equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,X2),multiply(X2,X1)) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_21,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
c_0_17 ).
cnf(c_0_22,hypothesis,
( ~ equalish(X1,multiply(a,multiplicative_inverse(a)))
| equalish(X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,X2),multiply(X2,X1)) ),
c_0_20 ).
cnf(c_0_24,hypothesis,
defined(multiplicative_inverse(a)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_16]) ).
cnf(c_0_25,hypothesis,
equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]),c_0_24])]) ).
cnf(c_0_26,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(multiply(X1,X2),multiply(X3,X2)) ),
inference(fof_simplification,[status(thm)],[compatibility_of_equality_and_multiplication]) ).
cnf(c_0_27,plain,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[symmetry_of_equality]) ).
cnf(c_0_28,hypothesis,
( ~ equalish(X1,multiply(multiplicative_inverse(a),a))
| equalish(X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_29,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(multiply(X1,X2),multiply(X3,X2)) ),
c_0_26 ).
cnf(c_0_30,plain,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
c_0_27 ).
cnf(c_0_31,negated_conjecture,
equalish(multiplicative_inverse(a),multiplicative_identity),
multiplicative_inverses_equal ).
cnf(c_0_32,plain,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_33,hypothesis,
( ~ equalish(X1,multiplicative_inverse(a))
| equalish(multiply(X1,a),multiplicative_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_15])]) ).
cnf(c_0_34,negated_conjecture,
equalish(multiplicative_identity,multiplicative_inverse(a)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
c_0_32 ).
cnf(c_0_36,negated_conjecture,
equalish(multiply(multiplicative_identity,a),multiplicative_identity),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( ~ equalish(X1,multiply(multiplicative_identity,X2))
| ~ defined(X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
equalish(multiplicative_identity,multiply(multiplicative_identity,a)),
inference(spm,[status(thm)],[c_0_30,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
~ equalish(a,multiplicative_identity),
inference(fof_simplification,[status(thm)],[a_not_equal_to_multiplicative_identity_4]) ).
cnf(c_0_40,negated_conjecture,
equalish(multiplicative_identity,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_15])]) ).
cnf(c_0_41,negated_conjecture,
~ equalish(a,multiplicative_identity),
c_0_39 ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD032-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n020.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 15:40:09 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.46 % Version: 3.5.1
% 0.15/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.46 % Starting sh5l with 300s (1) cores
% 0.15/5.46 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3283801 completed with status 0
% 0.15/5.46 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46 % No SInE strategy applied
% 0.15/5.46 % Search class: FGUNF-FFMS21-SFFFFFNN
% 0.15/5.46 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.46 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.15/5.46 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/5.46 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/5.46 % U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 3283810 completed with status 0
% 0.15/5.46 % Result found by U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46 % No SInE strategy applied
% 0.15/5.46 % Search class: FGUNF-FFMS21-SFFFFFNN
% 0.15/5.46 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.46 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.15/5.46 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/5.46 % Preprocessing time : 0.002 s
% 0.15/5.46 % Presaturation interreduction done
% 0.15/5.46
% 0.15/5.46 % Proof found!
% 0.15/5.46 % SZS status Unsatisfiable
% 0.15/5.46 % SZS output start CNFRefutation
% See solution above
% 0.15/5.46 % Parsed axioms : 31
% 0.15/5.46 % Removed by relevancy pruning/SinE : 0
% 0.15/5.46 % Initial clauses : 31
% 0.15/5.46 % Removed in clause preprocessing : 0
% 0.15/5.46 % Initial clauses in saturation : 31
% 0.15/5.46 % Processed clauses : 217
% 0.15/5.46 % ...of these trivial : 2
% 0.15/5.46 % ...subsumed : 26
% 0.15/5.46 % ...remaining for further processing : 189
% 0.15/5.46 % Other redundant clauses eliminated : 0
% 0.15/5.46 % Clauses deleted for lack of memory : 0
% 0.15/5.46 % Backward-subsumed : 0
% 0.15/5.46 % Backward-rewritten : 2
% 0.15/5.46 % Generated clauses : 646
% 0.15/5.46 % ...of the previous two non-redundant : 490
% 0.15/5.46 % ...aggressively subsumed : 0
% 0.15/5.46 % Contextual simplify-reflections : 0
% 0.15/5.46 % Paramodulations : 646
% 0.15/5.46 % Factorizations : 0
% 0.15/5.46 % NegExts : 0
% 0.15/5.46 % Equation resolutions : 0
% 0.15/5.46 % Disequality decompositions : 0
% 0.15/5.46 % Total rewrite steps : 270
% 0.15/5.46 % ...of those cached : 242
% 0.15/5.46 % Propositional unsat checks : 0
% 0.15/5.46 % Propositional check models : 0
% 0.15/5.46 % Propositional check unsatisfiable : 0
% 0.15/5.46 % Propositional clauses : 0
% 0.15/5.46 % Propositional clauses after purity: 0
% 0.15/5.46 % Propositional unsat core size : 0
% 0.15/5.46 % Propositional preprocessing time : 0.000
% 0.15/5.46 % Propositional encoding time : 0.000
% 0.15/5.46 % Propositional solver time : 0.000
% 0.15/5.46 % Success case prop preproc time : 0.000
% 0.15/5.46 % Success case prop encoding time : 0.000
% 0.15/5.46 % Success case prop solver time : 0.000
% 0.15/5.46 % Current number of processed clauses : 156
% 0.15/5.46 % Positive orientable unit clauses : 45
% 0.15/5.46 % Positive unorientable unit clauses: 0
% 0.15/5.46 % Negative unit clauses : 3
% 0.15/5.46 % Non-unit-clauses : 108
% 0.15/5.46 % Current number of unprocessed clauses: 325
% 0.15/5.46 % ...number of literals in the above : 1012
% 0.15/5.46 % Current number of archived formulas : 0
% 0.15/5.46 % Current number of archived clauses : 33
% 0.15/5.46 % Clause-clause subsumption calls (NU) : 950
% 0.15/5.46 % Rec. Clause-clause subsumption calls : 761
% 0.15/5.46 % Non-unit clause-clause subsumptions : 25
% 0.15/5.46 % Unit Clause-clause subsumption calls : 143
% 0.15/5.46 % Rewrite failures with RHS unbound : 0
% 0.15/5.46 % BW rewrite match attempts : 19
% 0.15/5.46 % BW rewrite match successes : 1
% 0.15/5.46 % Condensation attempts : 0
% 0.15/5.46 % Condensation successes : 0
% 0.15/5.46 % Termbank termtop insertions : 9480
% 0.15/5.46 % Search garbage collected termcells : 73
% 0.15/5.46
% 0.15/5.46 % -------------------------------------------------
% 0.15/5.46 % User time : 0.015 s
% 0.15/5.46 % System time : 0.007 s
% 0.15/5.46 % Total time : 0.022 s
% 0.15/5.46 % Maximum resident set size: 3660 pages
% 0.15/5.46
% 0.15/5.46 % -------------------------------------------------
% 0.15/5.46 % User time : 0.081 s
% 0.15/5.46 % System time : 0.030 s
% 0.15/5.46 % Total time : 0.110 s
% 0.15/5.46 % Maximum resident set size: 4864 pages
% 0.15/5.46 % E exiting
%------------------------------------------------------------------------------