%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG339-1 : 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 : n009.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 11:55:56 AM UTC 2026
% Result : Unsatisfiable 1.82s 0.77s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 5 unt; 0 nHn; 19 RR)
% Number of literals : 47 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,v_d2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_real__lbound__gt__zero_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_0) ).
cnf(cls_real__lbound__gt__zero_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_2) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_real__lbound__gt__zero_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,v_d2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__lbound__gt__zero_0]) ).
cnf(c_0_8,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,v_d2,tc_RealDef_Oreal) ),
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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),tc_RealDef_Oreal) ),
c_0_7 ).
cnf(c_0_10,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__lbound__gt__zero_2]) ).
cnf(c_0_11,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),v_d2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),v_d1,tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X2,tc_RealDef_Oreal) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
cls_conjecture_1 ).
cnf(c_0_14,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__lbound__gt__zero_1]) ).
cnf(c_0_15,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,v_d2),v_d1,tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X1,tc_RealDef_Oreal) ),
c_0_14 ).
cnf(c_0_17,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG339-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:16:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 1.82/0.77 % Version: 3.5.1
% 1.82/0.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.82/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.82/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.82/0.77 % Starting new_bool_3 with 300s (1) cores
% 1.82/0.77 % Starting new_bool_1 with 300s (1) cores
% 1.82/0.77 % Starting sh5l with 300s (1) cores
% 1.82/0.77 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1843902 completed with status 0
% 1.82/0.77 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.82/0.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.82/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.82/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.82/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.82/0.77 % No SInE strategy applied
% 1.82/0.77 % Search class: FGHSM-FSLM32-MFFFFFNN
% 1.82/0.77 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.82/0.77 % Starting SubtermCWHack with 136s (1) cores
% 1.82/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.82/0.77 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 1.82/0.77 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 1.82/0.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 1.82/0.77 % G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 1843913 completed with status 0
% 1.82/0.77 % Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 1.82/0.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.82/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.82/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.82/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.82/0.77 % No SInE strategy applied
% 1.82/0.77 % Search class: FGHSM-FSLM32-MFFFFFNN
% 1.82/0.77 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.82/0.77 % Starting SubtermCWHack with 136s (1) cores
% 1.82/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.82/0.77 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 1.82/0.77 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 1.82/0.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 1.82/0.77 % Preprocessing time : 0.007 s
% 1.82/0.77 % Presaturation interreduction done
% 1.82/0.77
% 1.82/0.77 % Proof found!
% 1.82/0.77 % SZS status Unsatisfiable
% 1.82/0.77 % SZS output start CNFRefutation
% See solution above
% 1.82/0.77 % Parsed axioms : 546
% 1.82/0.77 % Removed by relevancy pruning/SinE : 0
% 1.82/0.77 % Initial clauses : 546
% 1.82/0.77 % Removed in clause preprocessing : 0
% 1.82/0.77 % Initial clauses in saturation : 546
% 1.82/0.77 % Processed clauses : 1807
% 1.82/0.77 % ...of these trivial : 51
% 1.82/0.77 % ...subsumed : 553
% 1.82/0.77 % ...remaining for further processing : 1203
% 1.82/0.77 % Other redundant clauses eliminated : 34
% 1.82/0.77 % Clauses deleted for lack of memory : 0
% 1.82/0.77 % Backward-subsumed : 3
% 1.82/0.77 % Backward-rewritten : 12
% 1.82/0.77 % Generated clauses : 8575
% 1.82/0.77 % ...of the previous two non-redundant : 7863
% 1.82/0.77 % ...aggressively subsumed : 0
% 1.82/0.77 % Contextual simplify-reflections : 0
% 1.82/0.77 % Paramodulations : 8533
% 1.82/0.77 % Factorizations : 0
% 1.82/0.77 % NegExts : 0
% 1.82/0.77 % Equation resolutions : 42
% 1.82/0.77 % Disequality decompositions : 0
% 1.82/0.77 % Total rewrite steps : 6058
% 1.82/0.77 % ...of those cached : 5637
% 1.82/0.77 % Propositional unsat checks : 0
% 1.82/0.77 % Propositional check models : 0
% 1.82/0.77 % Propositional check unsatisfiable : 0
% 1.82/0.77 % Propositional clauses : 0
% 1.82/0.77 % Propositional clauses after purity: 0
% 1.82/0.77 % Propositional unsat core size : 0
% 1.82/0.77 % Propositional preprocessing time : 0.000
% 1.82/0.77 % Propositional encoding time : 0.000
% 1.82/0.77 % Propositional solver time : 0.000
% 1.82/0.77 % Success case prop preproc time : 0.000
% 1.82/0.77 % Success case prop encoding time : 0.000
% 1.82/0.77 % Success case prop solver time : 0.000
% 1.82/0.77 % Current number of processed clauses : 707
% 1.82/0.77 % Positive orientable unit clauses : 170
% 1.82/0.77 % Positive unorientable unit clauses: 3
% 1.82/0.77 % Negative unit clauses : 76
% 1.82/0.77 % Non-unit-clauses : 458
% 1.82/0.77 % Current number of unprocessed clauses: 7063
% 1.82/0.77 % ...number of literals in the above : 25760
% 1.82/0.77 % Current number of archived formulas : 0
% 1.82/0.77 % Current number of archived clauses : 496
% 1.82/0.77 % Clause-clause subsumption calls (NU) : 43142
% 1.82/0.77 % Rec. Clause-clause subsumption calls : 19324
% 1.82/0.77 % Non-unit clause-clause subsumptions : 185
% 1.82/0.77 % Unit Clause-clause subsumption calls : 3850
% 1.82/0.77 % Rewrite failures with RHS unbound : 0
% 1.82/0.77 % BW rewrite match attempts : 39
% 1.82/0.77 % BW rewrite match successes : 26
% 1.82/0.77 % Condensation attempts : 0
% 1.82/0.77 % Condensation successes : 0
% 1.82/0.77 % Termbank termtop insertions : 168067
% 1.82/0.77 % Search garbage collected termcells : 1026
% 1.82/0.77
% 1.82/0.77 % -------------------------------------------------
% 1.82/0.77 % User time : 0.247 s
% 1.82/0.77 % System time : 0.007 s
% 1.82/0.77 % Total time : 0.253 s
% 1.82/0.77 % Maximum resident set size: 4524 pages
% 1.82/0.77
% 1.82/0.77 % -------------------------------------------------
% 1.82/0.77 % User time : 1.228 s
% 1.82/0.77 % System time : 0.085 s
% 1.82/0.77 % Total time : 1.313 s
% 1.82/0.77 % Maximum resident set size: 4864 pages
% 1.82/0.77 % E exiting
%------------------------------------------------------------------------------