%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV598-1 : 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 : n010.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 02:59:37 PM UTC 2026
% Result : Unsatisfiable 14.21s 2.56s
% Output : CNFRefutation 14.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 17 unt; 4 nHn; 24 RR)
% Number of literals : 56 ( 23 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0_04,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).
cnf(cls_linorder__neqE__ordered__idom_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(cls_CHAINED_0_03,axiom,
( v_x != c_Transcendental_Opi
| c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
cnf(cls_CHAINED_0_02,axiom,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_0_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_0_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_10,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_CHAINED_0_04]) ).
cnf(c_0_11,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_linorder__neqE__ordered__idom_0]) ).
cnf(c_0_12,plain,
( v_x != c_Transcendental_Opi
| c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_CHAINED_0_03]) ).
cnf(c_0_13,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_CHAINED_0_02]) ).
cnf(c_0_14,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_15,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
cls_real__mult__commute_0 ).
cnf(c_0_16,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_18,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
cls_0_0 ).
cnf(c_0_19,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1) ),
c_0_11 ).
cnf(c_0_20,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom ).
cnf(c_0_21,plain,
( v_x != c_Transcendental_Opi
| c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
c_0_12 ).
cnf(c_0_22,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
cls_conjecture_1 ).
cnf(c_0_23,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_13 ).
cnf(c_0_24,plain,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_25,plain,
~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_26,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
v_x != c_Transcendental_Opi,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_28,plain,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_17]),c_0_15]),c_0_24])]) ).
cnf(c_0_29,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV598-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 09:13:40 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 14.21/2.56 % Version: 3.5.1
% 14.21/2.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 14.21/2.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.21/2.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.21/2.56 % Starting new_bool_3 with 300s (1) cores
% 14.21/2.56 % Starting new_bool_1 with 300s (1) cores
% 14.21/2.56 % Starting sh5l with 300s (1) cores
% 14.21/2.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 552366 completed with status 0
% 14.21/2.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.21/2.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 14.21/2.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.21/2.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.21/2.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.21/2.56 % No SInE strategy applied
% 14.21/2.56 % Search class: FGHSM-SSLM31-DFFFFFNN
% 14.21/2.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.21/2.56 % Starting SubtermCWHack with 136s (1) cores
% 14.21/2.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.21/2.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 14.21/2.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 136s (1) cores
% 14.21/2.56 % Starting G-E--_208_B07AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 14.21/2.56 % SubtermCWHack with pid 552389 completed with status 0
% 14.21/2.56 % Result found by SubtermCWHack
% 14.21/2.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 14.21/2.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.21/2.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.21/2.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.21/2.56 % No SInE strategy applied
% 14.21/2.56 % Search class: FGHSM-SSLM31-DFFFFFNN
% 14.21/2.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.21/2.56 % Starting SubtermCWHack with 136s (1) cores
% 14.21/2.56 % Preprocessing time : 0.014 s
% 14.21/2.56
% 14.21/2.56 % Proof found!
% 14.21/2.56 % SZS status Unsatisfiable
% 14.21/2.56 % SZS output start CNFRefutation
% See solution above
% 14.21/2.56 % Parsed axioms : 1330
% 14.21/2.56 % Removed by relevancy pruning/SinE : 0
% 14.21/2.56 % Initial clauses : 1330
% 14.21/2.56 % Removed in clause preprocessing : 7
% 14.21/2.56 % Initial clauses in saturation : 1323
% 14.21/2.56 % Processed clauses : 19349
% 14.21/2.56 % ...of these trivial : 763
% 14.21/2.56 % ...subsumed : 14598
% 14.21/2.56 % ...remaining for further processing : 3988
% 14.21/2.56 % Other redundant clauses eliminated : 347
% 14.21/2.56 % Clauses deleted for lack of memory : 0
% 14.21/2.56 % Backward-subsumed : 55
% 14.21/2.56 % Backward-rewritten : 61
% 14.21/2.56 % Generated clauses : 132630
% 14.21/2.56 % ...of the previous two non-redundant : 103247
% 14.21/2.56 % ...aggressively subsumed : 0
% 14.21/2.56 % Contextual simplify-reflections : 3
% 14.21/2.56 % Paramodulations : 132262
% 14.21/2.56 % Factorizations : 6
% 14.21/2.56 % NegExts : 0
% 14.21/2.56 % Equation resolutions : 361
% 14.21/2.56 % Disequality decompositions : 0
% 14.21/2.56 % Total rewrite steps : 125835
% 14.21/2.56 % ...of those cached : 119723
% 14.21/2.56 % Propositional unsat checks : 0
% 14.21/2.56 % Propositional check models : 0
% 14.21/2.56 % Propositional check unsatisfiable : 0
% 14.21/2.56 % Propositional clauses : 0
% 14.21/2.56 % Propositional clauses after purity: 0
% 14.21/2.56 % Propositional unsat core size : 0
% 14.21/2.56 % Propositional preprocessing time : 0.000
% 14.21/2.56 % Propositional encoding time : 0.000
% 14.21/2.56 % Propositional solver time : 0.000
% 14.21/2.56 % Success case prop preproc time : 0.000
% 14.21/2.56 % Success case prop encoding time : 0.000
% 14.21/2.56 % Success case prop solver time : 0.000
% 14.21/2.56 % Current number of processed clauses : 3871
% 14.21/2.56 % Positive orientable unit clauses : 1313
% 14.21/2.56 % Positive unorientable unit clauses: 15
% 14.21/2.56 % Negative unit clauses : 749
% 14.21/2.56 % Non-unit-clauses : 1794
% 14.21/2.56 % Current number of unprocessed clauses: 85098
% 14.21/2.56 % ...number of literals in the above : 219367
% 14.21/2.56 % Current number of archived formulas : 0
% 14.21/2.56 % Current number of archived clauses : 122
% 14.21/2.56 % Clause-clause subsumption calls (NU) : 372091
% 14.21/2.56 % Rec. Clause-clause subsumption calls : 248599
% 14.21/2.56 % Non-unit clause-clause subsumptions : 2897
% 14.21/2.56 % Unit Clause-clause subsumption calls : 90088
% 14.21/2.56 % Rewrite failures with RHS unbound : 0
% 14.21/2.56 % BW rewrite match attempts : 1224
% 14.21/2.56 % BW rewrite match successes : 166
% 14.21/2.56 % Condensation attempts : 0
% 14.21/2.56 % Condensation successes : 0
% 14.21/2.56 % Termbank termtop insertions : 2171193
% 14.21/2.56 % Search garbage collected termcells : 2462
% 14.21/2.56
% 14.21/2.56 % -------------------------------------------------
% 14.21/2.56 % User time : 1.937 s
% 14.21/2.56 % System time : 0.106 s
% 14.21/2.56 % Total time : 2.043 s
% 14.21/2.56 % Maximum resident set size: 6084 pages
% 14.21/2.56
% 14.21/2.56 % -------------------------------------------------
% 14.21/2.56 % User time : 9.738 s
% 14.21/2.56 % System time : 0.449 s
% 14.21/2.56 % Total time : 10.187 s
% 14.21/2.56 % Maximum resident set size: 5376 pages
% 14.21/2.56 % E exiting
%------------------------------------------------------------------------------