%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG369-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:55:59 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 25 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_1,axiom,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
cnf(cls_CHAINED_2,axiom,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_5,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| v_thesis____ ),
inference(fof_simplification,[status(thm)],[cls_that_0]) ).
cnf(c_0_6,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_7,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| v_thesis____ ),
c_0_5 ).
cnf(c_0_8,negated_conjecture,
~ v_thesis____,
c_0_6 ).
cnf(c_0_9,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,axiom,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_1 ).
cnf(c_0_11,axiom,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_2 ).
cnf(c_0_12,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_13,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG369-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 13:15:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.43 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
% 0.18/0.51 % Version: 3.5.1
% 0.18/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.51 % Starting sh5l with 300s (1) cores
% 0.18/0.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1168995 completed with status 0
% 0.18/0.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.51 % No SInE strategy applied
% 0.18/0.51 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.51 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.51 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.18/0.51 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.18/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.18/0.51 % G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 1169005 completed with status 0
% 0.18/0.51 % Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.18/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.51 % No SInE strategy applied
% 0.18/0.51 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.51 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.51 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.18/0.51 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.18/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.18/0.51 % Preprocessing time : 0.005 s
% 0.18/0.51 % Presaturation interreduction done
% 0.18/0.51
% 0.18/0.51 % Proof found!
% 0.18/0.51 % SZS status Unsatisfiable
% 0.18/0.51 % SZS output start CNFRefutation
% See solution above
% 0.18/0.51 % Parsed axioms : 626
% 0.18/0.51 % Removed by relevancy pruning/SinE : 0
% 0.18/0.51 % Initial clauses : 626
% 0.18/0.51 % Removed in clause preprocessing : 0
% 0.18/0.51 % Initial clauses in saturation : 626
% 0.18/0.51 % Processed clauses : 801
% 0.18/0.51 % ...of these trivial : 3
% 0.18/0.51 % ...subsumed : 76
% 0.18/0.51 % ...remaining for further processing : 722
% 0.18/0.51 % Other redundant clauses eliminated : 5
% 0.18/0.51 % Clauses deleted for lack of memory : 0
% 0.18/0.51 % Backward-subsumed : 0
% 0.18/0.51 % Backward-rewritten : 0
% 0.18/0.51 % Generated clauses : 185
% 0.18/0.51 % ...of the previous two non-redundant : 142
% 0.18/0.51 % ...aggressively subsumed : 0
% 0.18/0.51 % Contextual simplify-reflections : 0
% 0.18/0.51 % Paramodulations : 179
% 0.18/0.51 % Factorizations : 0
% 0.18/0.51 % NegExts : 0
% 0.18/0.51 % Equation resolutions : 6
% 0.18/0.51 % Disequality decompositions : 0
% 0.18/0.51 % Total rewrite steps : 120
% 0.18/0.51 % ...of those cached : 100
% 0.18/0.51 % Propositional unsat checks : 0
% 0.18/0.51 % Propositional check models : 0
% 0.18/0.51 % Propositional check unsatisfiable : 0
% 0.18/0.51 % Propositional clauses : 0
% 0.18/0.51 % Propositional clauses after purity: 0
% 0.18/0.51 % Propositional unsat core size : 0
% 0.18/0.51 % Propositional preprocessing time : 0.000
% 0.18/0.51 % Propositional encoding time : 0.000
% 0.18/0.51 % Propositional solver time : 0.000
% 0.18/0.51 % Success case prop preproc time : 0.000
% 0.18/0.51 % Success case prop encoding time : 0.000
% 0.18/0.51 % Success case prop solver time : 0.000
% 0.18/0.51 % Current number of processed clauses : 175
% 0.18/0.51 % Positive orientable unit clauses : 70
% 0.18/0.51 % Positive unorientable unit clauses: 0
% 0.18/0.51 % Negative unit clauses : 4
% 0.18/0.51 % Non-unit-clauses : 101
% 0.18/0.51 % Current number of unprocessed clauses: 514
% 0.18/0.51 % ...number of literals in the above : 1634
% 0.18/0.51 % Current number of archived formulas : 0
% 0.18/0.51 % Current number of archived clauses : 547
% 0.18/0.51 % Clause-clause subsumption calls (NU) : 36515
% 0.18/0.51 % Rec. Clause-clause subsumption calls : 12411
% 0.18/0.51 % Non-unit clause-clause subsumptions : 76
% 0.18/0.51 % Unit Clause-clause subsumption calls : 0
% 0.18/0.51 % Rewrite failures with RHS unbound : 0
% 0.18/0.51 % BW rewrite match attempts : 0
% 0.18/0.51 % BW rewrite match successes : 0
% 0.18/0.51 % Condensation attempts : 0
% 0.18/0.51 % Condensation successes : 0
% 0.18/0.51 % Termbank termtop insertions : 34306
% 0.18/0.51 % Search garbage collected termcells : 1423
% 0.18/0.51
% 0.18/0.51 % -------------------------------------------------
% 0.18/0.51 % User time : 0.042 s
% 0.18/0.51 % System time : 0.006 s
% 0.18/0.51 % Total time : 0.048 s
% 0.18/0.51 % Maximum resident set size: 4836 pages
% 0.18/0.51
% 0.18/0.51 % -------------------------------------------------
% 0.18/0.51 % User time : 0.224 s
% 0.18/0.51 % System time : 0.031 s
% 0.18/0.51 % Total time : 0.255 s
% 0.18/0.51 % Maximum resident set size: 5376 pages
% 0.18/0.51 % E exiting
%------------------------------------------------------------------------------