%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG369-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 12:02:02 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 20 unt; 0 nHn; 31 RR)
% Number of literals : 53 ( 8 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__sgn__pos_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sgn__pos_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_sgn__pos_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__pos_0) ).
cnf(cls_m_I1_J_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_m_I1_J_0) ).
cnf(cls_ep_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ep_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
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/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_2) ).
cnf(c_0_10,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__sgn__pos_0]) ).
cnf(c_0_11,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_12,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_13,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1) ),
inference(fof_simplification,[status(thm)],[cls_sgn__pos_0]) ).
cnf(c_0_14,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
c_0_10 ).
cnf(c_0_15,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),
cls_m_I1_J_0 ).
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(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_11 ).
cnf(c_0_17,negated_conjecture,
~ v_thesis____,
c_0_12 ).
cnf(c_0_18,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1) ),
c_0_13 ).
cnf(c_0_19,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
cls_ep_0 ).
cnf(c_0_20,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Osgn__class_Osgn(v_m____,tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom ).
cnf(c_0_22,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_23,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_16,c_0_17]) ).
cnf(c_0_24,plain,
c_HOL_Osgn__class_Osgn(v_m____,tc_RealDef_Oreal) = c_HOL_Osgn__class_Osgn(v_e,tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_25,plain,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Osgn__class_Osgn(v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_26,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_Osgn__class_Osgn(v_e,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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_20]),c_0_24]) ).
cnf(c_0_27,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_28,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_29,plain,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Osgn__class_Osgn(v_e,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_30,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]),
[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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.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 13:15:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.18/0.54 % Version: 3.5.1
% 0.18/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.54 % Starting sh5l with 300s (1) cores
% 0.18/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1169069 completed with status 0
% 0.18/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.54 % No SInE strategy applied
% 0.18/0.54 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.54 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.54 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.18/0.54 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.18/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.18/0.54 % U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 1169086 completed with status 0
% 0.18/0.54 % Result found by U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
% 0.18/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.54 % No SInE strategy applied
% 0.18/0.54 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.54 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.54 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.18/0.54 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.18/0.54 % Preprocessing time : 0.005 s
% 0.18/0.54 % Presaturation interreduction done
% 0.18/0.54
% 0.18/0.54 % Proof found!
% 0.18/0.54 % SZS status Unsatisfiable
% 0.18/0.54 % SZS output start CNFRefutation
% See solution above
% 0.18/0.54 % Parsed axioms : 626
% 0.18/0.54 % Removed by relevancy pruning/SinE : 0
% 0.18/0.54 % Initial clauses : 626
% 0.18/0.54 % Removed in clause preprocessing : 0
% 0.18/0.54 % Initial clauses in saturation : 626
% 0.18/0.54 % Processed clauses : 1568
% 0.18/0.54 % ...of these trivial : 81
% 0.18/0.54 % ...subsumed : 487
% 0.18/0.54 % ...remaining for further processing : 1000
% 0.18/0.54 % Other redundant clauses eliminated : 51
% 0.18/0.54 % Clauses deleted for lack of memory : 0
% 0.18/0.54 % Backward-subsumed : 3
% 0.18/0.54 % Backward-rewritten : 98
% 0.18/0.54 % Generated clauses : 2217
% 0.18/0.54 % ...of the previous two non-redundant : 1847
% 0.18/0.54 % ...aggressively subsumed : 0
% 0.18/0.54 % Contextual simplify-reflections : 0
% 0.18/0.54 % Paramodulations : 2157
% 0.18/0.54 % Factorizations : 2
% 0.18/0.54 % NegExts : 0
% 0.18/0.54 % Equation resolutions : 58
% 0.18/0.54 % Disequality decompositions : 0
% 0.18/0.54 % Total rewrite steps : 2112
% 0.18/0.54 % ...of those cached : 1988
% 0.18/0.54 % Propositional unsat checks : 0
% 0.18/0.54 % Propositional check models : 0
% 0.18/0.54 % Propositional check unsatisfiable : 0
% 0.18/0.54 % Propositional clauses : 0
% 0.18/0.54 % Propositional clauses after purity: 0
% 0.18/0.54 % Propositional unsat core size : 0
% 0.18/0.54 % Propositional preprocessing time : 0.000
% 0.18/0.54 % Propositional encoding time : 0.000
% 0.18/0.54 % Propositional solver time : 0.000
% 0.18/0.54 % Success case prop preproc time : 0.000
% 0.18/0.54 % Success case prop encoding time : 0.000
% 0.18/0.54 % Success case prop solver time : 0.000
% 0.18/0.54 % Current number of processed clauses : 352
% 0.18/0.54 % Positive orientable unit clauses : 117
% 0.18/0.54 % Positive unorientable unit clauses: 0
% 0.18/0.54 % Negative unit clauses : 36
% 0.18/0.54 % Non-unit-clauses : 199
% 0.18/0.54 % Current number of unprocessed clauses: 1331
% 0.18/0.54 % ...number of literals in the above : 3927
% 0.18/0.54 % Current number of archived formulas : 0
% 0.18/0.54 % Current number of archived clauses : 648
% 0.18/0.54 % Clause-clause subsumption calls (NU) : 41906
% 0.18/0.54 % Rec. Clause-clause subsumption calls : 17197
% 0.18/0.54 % Non-unit clause-clause subsumptions : 260
% 0.18/0.54 % Unit Clause-clause subsumption calls : 233
% 0.18/0.54 % Rewrite failures with RHS unbound : 0
% 0.18/0.54 % BW rewrite match attempts : 58
% 0.18/0.54 % BW rewrite match successes : 8
% 0.18/0.54 % Condensation attempts : 0
% 0.18/0.54 % Condensation successes : 0
% 0.18/0.54 % Termbank termtop insertions : 55364
% 0.18/0.54 % Search garbage collected termcells : 1423
% 0.18/0.54
% 0.18/0.54 % -------------------------------------------------
% 0.18/0.54 % User time : 0.074 s
% 0.18/0.54 % System time : 0.008 s
% 0.18/0.54 % Total time : 0.082 s
% 0.18/0.54 % Maximum resident set size: 4836 pages
% 0.18/0.54
% 0.18/0.54 % -------------------------------------------------
% 0.18/0.54 % User time : 0.344 s
% 0.18/0.54 % System time : 0.036 s
% 0.18/0.54 % Total time : 0.379 s
% 0.18/0.54 % Maximum resident set size: 5120 pages
% 0.18/0.54 % E exiting
%------------------------------------------------------------------------------