%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV592-1 : 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 : n002.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 02:59:36 PM UTC 2026
% Result : Unsatisfiable 0.25s 5.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 27 unt; 0 nHn; 8 RR)
% Number of literals : 33 ( 32 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__add__eq__0__iff_1,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_1) ).
cnf(cls_real__diff__def_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
cnf(cls_real__add__eq__0__iff_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_0) ).
cnf(cls_eq__diff__eq_H_0,axiom,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__diff__eq_H_0) ).
cnf(cls_sin__periodic__pi_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic__pi_0) ).
cnf(cls_sin__minus_0,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__minus_0) ).
cnf(cls_sin__periodic__pi2_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic__pi2_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_8,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__add__eq__0__iff_1 ).
cnf(c_0_9,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__diff__def_0 ).
cnf(c_0_10,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__add__eq__0__iff_0]) ).
cnf(c_0_11,axiom,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
cls_eq__diff__eq_H_0 ).
cnf(c_0_12,plain,
c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
c_0_10 ).
cnf(c_0_14,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__periodic__pi_0 ).
cnf(c_0_16,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__minus_0 ).
cnf(c_0_17,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11])]) ).
cnf(c_0_18,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_19,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__periodic__pi2_0 ).
cnf(c_0_21,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_22,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_24,plain,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
c_0_21 ).
cnf(c_0_26,plain,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_24]) ).
cnf(c_0_27,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV592-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/5.47 % Computer : n002.cluster.edu
% 0.19/5.47 % Model : x86_64 x86_64
% 0.19/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.47 % Memory : 8046.5625MB
% 0.19/5.47 % OS : Linux 6.8.0-71-generic
% 0.19/5.47 % CPULimit : 300
% 0.19/5.47 % WCLimit : 300
% 0.19/5.47 % DateTime : Mon Sep 21 09:15:22 UTC 2026
% 0.19/5.47 % CPUTime :
% 0.19/5.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/5.54 Running first-order theorem proving
% 0.25/5.54 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
% 0.25/5.62 % Version: 3.5.1
% 0.25/5.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.25/5.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/5.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.25/5.62 % Starting new_bool_3 with 300s (1) cores
% 0.25/5.62 % Starting new_bool_1 with 300s (1) cores
% 0.25/5.62 % Starting sh5l with 300s (1) cores
% 0.25/5.62 % new_bool_3 with pid 2950457 completed with status 0
% 0.25/5.62 % Result found by new_bool_3
% 0.25/5.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.25/5.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/5.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.25/5.62 % Starting new_bool_3 with 300s (1) cores
% 0.25/5.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/5.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/5.62 % Search class: FGUSM-FFMS32-MFFFFFNN
% 0.25/5.62 % partial match(1): FGUSF-FFMS32-MFFFFFNN
% 0.25/5.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/5.62 % Starting SubtermCWHack with 31s (1) cores
% 0.25/5.62 % SubtermCWHack with pid 2950460 completed with status 0
% 0.25/5.62 % Result found by SubtermCWHack
% 0.25/5.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.25/5.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/5.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.25/5.62 % Starting new_bool_3 with 300s (1) cores
% 0.25/5.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/5.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/5.62 % Search class: FGUSM-FFMS32-MFFFFFNN
% 0.25/5.62 % partial match(1): FGUSF-FFMS32-MFFFFFNN
% 0.25/5.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/5.62 % Starting SubtermCWHack with 31s (1) cores
% 0.25/5.62 % Preprocessing time : 0.002 s
% 0.25/5.62
% 0.25/5.62 % Proof found!
% 0.25/5.62 % SZS status Unsatisfiable
% 0.25/5.62 % SZS output start CNFRefutation
% See solution above
% 0.25/5.62 % Parsed axioms : 924
% 0.25/5.62 % Removed by relevancy pruning/SinE : 850
% 0.25/5.62 % Initial clauses : 74
% 0.25/5.62 % Removed in clause preprocessing : 0
% 0.25/5.62 % Initial clauses in saturation : 74
% 0.25/5.62 % Processed clauses : 76
% 0.25/5.62 % ...of these trivial : 5
% 0.25/5.62 % ...subsumed : 5
% 0.25/5.62 % ...remaining for further processing : 66
% 0.25/5.62 % Other redundant clauses eliminated : 7
% 0.25/5.62 % Clauses deleted for lack of memory : 0
% 0.25/5.62 % Backward-subsumed : 0
% 0.25/5.62 % Backward-rewritten : 16
% 0.25/5.62 % Generated clauses : 210
% 0.25/5.62 % ...of the previous two non-redundant : 118
% 0.25/5.62 % ...aggressively subsumed : 0
% 0.25/5.62 % Contextual simplify-reflections : 0
% 0.25/5.62 % Paramodulations : 200
% 0.25/5.62 % Factorizations : 2
% 0.25/5.62 % NegExts : 0
% 0.25/5.62 % Equation resolutions : 8
% 0.25/5.62 % Disequality decompositions : 0
% 0.25/5.62 % Total rewrite steps : 208
% 0.25/5.62 % ...of those cached : 141
% 0.25/5.62 % Propositional unsat checks : 0
% 0.25/5.62 % Propositional check models : 0
% 0.25/5.62 % Propositional check unsatisfiable : 0
% 0.25/5.62 % Propositional clauses : 0
% 0.25/5.62 % Propositional clauses after purity: 0
% 0.25/5.62 % Propositional unsat core size : 0
% 0.25/5.62 % Propositional preprocessing time : 0.000
% 0.25/5.62 % Propositional encoding time : 0.000
% 0.25/5.62 % Propositional solver time : 0.000
% 0.25/5.62 % Success case prop preproc time : 0.000
% 0.25/5.62 % Success case prop encoding time : 0.000
% 0.25/5.62 % Success case prop solver time : 0.000
% 0.25/5.62 % Current number of processed clauses : 50
% 0.25/5.62 % Positive orientable unit clauses : 34
% 0.25/5.62 % Positive unorientable unit clauses: 2
% 0.25/5.62 % Negative unit clauses : 5
% 0.25/5.62 % Non-unit-clauses : 9
% 0.25/5.62 % Current number of unprocessed clauses: 105
% 0.25/5.62 % ...number of literals in the above : 180
% 0.25/5.62 % Current number of archived formulas : 0
% 0.25/5.62 % Current number of archived clauses : 16
% 0.25/5.62 % Clause-clause subsumption calls (NU) : 6
% 0.25/5.62 % Rec. Clause-clause subsumption calls : 6
% 0.25/5.62 % Non-unit clause-clause subsumptions : 0
% 0.25/5.62 % Unit Clause-clause subsumption calls : 0
% 0.25/5.62 % Rewrite failures with RHS unbound : 0
% 0.25/5.62 % BW rewrite match attempts : 21
% 0.25/5.62 % BW rewrite match successes : 15
% 0.25/5.62 % Condensation attempts : 0
% 0.25/5.62 % Condensation successes : 0
% 0.25/5.62 % Termbank termtop insertions : 13856
% 0.25/5.62 % Search garbage collected termcells : 3062
% 0.25/5.62
% 0.25/5.62 % -------------------------------------------------
% 0.25/5.62 % User time : 0.010 s
% 0.25/5.62 % System time : 0.006 s
% 0.25/5.62 % Total time : 0.016 s
% 0.25/5.62 % Maximum resident set size: 4480 pages
% 0.25/5.62
% 0.25/5.62 % -------------------------------------------------
% 0.25/5.62 % User time : 0.055 s
% 0.25/5.62 % System time : 0.014 s
% 0.25/5.62 % Total time : 0.069 s
% 0.25/5.62 % Maximum resident set size: 5376 pages
% 0.25/5.62 % E exiting
%------------------------------------------------------------------------------