%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG377-1 : 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 : n004.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 11:56:00 AM UTC 2026
% Result : Unsatisfiable 0.22s 10.70s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 2 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_add__Suc__right_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).
cnf(cls_real__add__left__mono_0,axiom,
( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__left__mono_0) ).
cnf(cls_CHAINED_0,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_4,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_5,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
c_0_4 ).
cnf(c_0_6,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
cls_add__Suc__right_0 ).
cnf(c_0_7,plain,
( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__add__left__mono_0]) ).
cnf(c_0_8,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_9,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_HOL_Oplus__class_Oplus(v_N1____,c_Suc(v_N2____),tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_7 ).
cnf(c_0_11,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_HOL_Oplus__class_Oplus(v_N1____,c_Suc(v_N2____),tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG377-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/10.45 % Computer : n004.cluster.edu
% 0.17/10.45 % Model : x86_64 x86_64
% 0.17/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.45 % Memory : 8046.5625MB
% 0.17/10.45 % OS : Linux 6.8.0-71-generic
% 0.17/10.45 % CPULimit : 300
% 0.17/10.45 % WCLimit : 300
% 0.17/10.45 % DateTime : Mon Sep 21 13:18:15 UTC 2026
% 0.17/10.46 % CPUTime :
% 0.17/10.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/10.51 Running first-order theorem proving
% 0.22/10.51 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
% 0.22/10.70 % Version: 3.5.1
% 0.22/10.70 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/10.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/10.70 % Starting new_bool_3 with 300s (1) cores
% 0.22/10.70 % Starting new_bool_1 with 300s (1) cores
% 0.22/10.70 % Starting sh5l with 300s (1) cores
% 0.22/10.70 % new_bool_1 with pid 3220778 completed with status 0
% 0.22/10.70 % Result found by new_bool_1
% 0.22/10.70 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/10.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/10.70 % Starting new_bool_3 with 300s (1) cores
% 0.22/10.70 % Starting new_bool_1 with 300s (1) cores
% 0.22/10.70 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/10.70 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/10.70 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.22/10.70 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/10.70 % Starting SubtermCWHack with 28s (1) cores
% 0.22/10.70 % SubtermCWHack with pid 3220786 completed with status 0
% 0.22/10.70 % Result found by SubtermCWHack
% 0.22/10.70 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/10.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/10.70 % Starting new_bool_3 with 300s (1) cores
% 0.22/10.70 % Starting new_bool_1 with 300s (1) cores
% 0.22/10.70 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/10.70 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/10.70 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.22/10.70 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/10.70 % Starting SubtermCWHack with 28s (1) cores
% 0.22/10.70 % Preprocessing time : 0.003 s
% 0.22/10.70
% 0.22/10.70 % Proof found!
% 0.22/10.70 % SZS status Unsatisfiable
% 0.22/10.70 % SZS output start CNFRefutation
% See solution above
% 0.22/10.70 % Parsed axioms : 559
% 0.22/10.70 % Removed by relevancy pruning/SinE : 353
% 0.22/10.71 % Initial clauses : 206
% 0.22/10.71 % Removed in clause preprocessing : 0
% 0.22/10.71 % Initial clauses in saturation : 206
% 0.22/10.71 % Processed clauses : 1628
% 0.22/10.71 % ...of these trivial : 120
% 0.22/10.71 % ...subsumed : 1111
% 0.22/10.71 % ...remaining for further processing : 397
% 0.22/10.71 % Other redundant clauses eliminated : 24
% 0.22/10.71 % Clauses deleted for lack of memory : 0
% 0.22/10.71 % Backward-subsumed : 0
% 0.22/10.71 % Backward-rewritten : 28
% 0.22/10.71 % Generated clauses : 6856
% 0.22/10.71 % ...of the previous two non-redundant : 5147
% 0.22/10.71 % ...aggressively subsumed : 0
% 0.22/10.71 % Contextual simplify-reflections : 0
% 0.22/10.71 % Paramodulations : 6812
% 0.22/10.71 % Factorizations : 14
% 0.22/10.71 % NegExts : 0
% 0.22/10.71 % Equation resolutions : 30
% 0.22/10.71 % Disequality decompositions : 0
% 0.22/10.71 % Total rewrite steps : 6123
% 0.22/10.71 % ...of those cached : 5529
% 0.22/10.71 % Propositional unsat checks : 0
% 0.22/10.71 % Propositional check models : 0
% 0.22/10.71 % Propositional check unsatisfiable : 0
% 0.22/10.71 % Propositional clauses : 0
% 0.22/10.71 % Propositional clauses after purity: 0
% 0.22/10.71 % Propositional unsat core size : 0
% 0.22/10.71 % Propositional preprocessing time : 0.000
% 0.22/10.71 % Propositional encoding time : 0.000
% 0.22/10.71 % Propositional solver time : 0.000
% 0.22/10.71 % Success case prop preproc time : 0.000
% 0.22/10.71 % Success case prop encoding time : 0.000
% 0.22/10.71 % Success case prop solver time : 0.000
% 0.22/10.71 % Current number of processed clauses : 369
% 0.22/10.71 % Positive orientable unit clauses : 76
% 0.22/10.71 % Positive unorientable unit clauses: 4
% 0.22/10.71 % Negative unit clauses : 74
% 0.22/10.71 % Non-unit-clauses : 215
% 0.22/10.71 % Current number of unprocessed clauses: 3630
% 0.22/10.71 % ...number of literals in the above : 8721
% 0.22/10.71 % Current number of archived formulas : 0
% 0.22/10.71 % Current number of archived clauses : 28
% 0.22/10.71 % Clause-clause subsumption calls (NU) : 4210
% 0.22/10.71 % Rec. Clause-clause subsumption calls : 2837
% 0.22/10.71 % Non-unit clause-clause subsumptions : 278
% 0.22/10.71 % Unit Clause-clause subsumption calls : 282
% 0.22/10.71 % Rewrite failures with RHS unbound : 0
% 0.22/10.71 % BW rewrite match attempts : 158
% 0.22/10.71 % BW rewrite match successes : 50
% 0.22/10.71 % Condensation attempts : 0
% 0.22/10.71 % Condensation successes : 0
% 0.22/10.71 % Termbank termtop insertions : 98358
% 0.22/10.71 % Search garbage collected termcells : 1527
% 0.22/10.71
% 0.22/10.71 % -------------------------------------------------
% 0.22/10.71 % User time : 0.092 s
% 0.22/10.71 % System time : 0.010 s
% 0.22/10.71 % Total time : 0.101 s
% 0.22/10.71 % Maximum resident set size: 4216 pages
% 0.22/10.71
% 0.22/10.71 % -------------------------------------------------
% 0.22/10.71 % User time : 0.114 s
% 0.22/10.71 % System time : 0.016 s
% 0.22/10.71 % Total time : 0.130 s
% 0.22/10.71 % Maximum resident set size: 4864 pages
% 0.22/10.71 % E exiting
%------------------------------------------------------------------------------