%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV603-1 : 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 : n016.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 0.23s 0.59s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 24 unt; 0 nHn; 17 RR)
% Number of literals : 30 ( 24 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
cnf(cls_real__two__squares__add__zero__iff_2,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).
cnf(cls_real__add__mult__distrib_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__mult__distrib_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/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_real__zero__not__eq__one_0,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__zero__not__eq__one_0) ).
cnf(cls_real__sqrt__abs2_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
cnf(cls_real__sqrt__zero_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_class__semiring_Osemiring__rules_I6_J_0]) ).
cnf(c_0_11,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__two__squares__add__zero__iff_2 ).
cnf(c_0_12,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__add__mult__distrib_0 ).
cnf(c_0_13,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_14,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2 ),
c_0_10 ).
cnf(c_0_15,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_16,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
cls_conjecture_1 ).
cnf(c_0_19,negated_conjecture,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_20,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_real__zero__not__eq__one_0]) ).
cnf(c_0_21,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
cls_real__sqrt__abs2_0 ).
cnf(c_0_22,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__sqrt__zero_0 ).
cnf(c_0_24,negated_conjecture,
c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
c_0_20 ).
cnf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV603-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 09:18:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 0.23/0.59 % Version: 3.5.1
% 0.23/0.59 % Preprocessing class: FMLSSMSSSSSNFFN.
% 0.23/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.23/0.59 % Starting new_bool_3 with 600s (2) cores
% 0.23/0.59 % Starting new_bool_1 with 600s (2) cores
% 0.23/0.59 % Starting sh5l with 300s (1) cores
% 0.23/0.59 % new_bool_1 with pid 2102777 completed with status 0
% 0.23/0.59 % Result found by new_bool_1
% 0.23/0.59 % Preprocessing class: FMLSSMSSSSSNFFN.
% 0.23/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.23/0.59 % Starting new_bool_3 with 600s (2) cores
% 0.23/0.59 % Starting new_bool_1 with 600s (2) cores
% 0.23/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.59 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.23/0.59 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.23/0.59 % Starting SubtermCWHack with 55s (1) cores
% 0.23/0.59 % Starting new_bool_1 with 61s (1) cores
% 0.23/0.59 % new_bool_1 with pid 2102783 completed with status 0
% 0.23/0.59 % Result found by new_bool_1
% 0.23/0.59 % Preprocessing class: FMLSSMSSSSSNFFN.
% 0.23/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.23/0.59 % Starting new_bool_3 with 600s (2) cores
% 0.23/0.59 % Starting new_bool_1 with 600s (2) cores
% 0.23/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.59 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.23/0.59 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.23/0.59 % Starting SubtermCWHack with 55s (1) cores
% 0.23/0.59 % Starting new_bool_1 with 61s (1) cores
% 0.23/0.59 % Preprocessing time : 0.015 s
% 0.23/0.59 % Presaturation interreduction done
% 0.23/0.59
% 0.23/0.59 % Proof found!
% 0.23/0.59 % SZS status Unsatisfiable
% 0.23/0.59 % SZS output start CNFRefutation
% See solution above
% 0.23/0.59 % Parsed axioms : 1111
% 0.23/0.59 % Removed by relevancy pruning/SinE : 588
% 0.23/0.59 % Initial clauses : 523
% 0.23/0.59 % Removed in clause preprocessing : 0
% 0.23/0.59 % Initial clauses in saturation : 523
% 0.23/0.59 % Processed clauses : 673
% 0.23/0.59 % ...of these trivial : 6
% 0.23/0.59 % ...subsumed : 142
% 0.23/0.59 % ...remaining for further processing : 525
% 0.23/0.59 % Other redundant clauses eliminated : 0
% 0.23/0.59 % Clauses deleted for lack of memory : 0
% 0.23/0.59 % Backward-subsumed : 0
% 0.23/0.59 % Backward-rewritten : 16
% 0.23/0.59 % Generated clauses : 134
% 0.23/0.59 % ...of the previous two non-redundant : 98
% 0.23/0.59 % ...aggressively subsumed : 0
% 0.23/0.59 % Contextual simplify-reflections : 1
% 0.23/0.59 % Paramodulations : 130
% 0.23/0.59 % Factorizations : 0
% 0.23/0.59 % NegExts : 0
% 0.23/0.59 % Equation resolutions : 4
% 0.23/0.59 % Disequality decompositions : 0
% 0.23/0.59 % Total rewrite steps : 104
% 0.23/0.59 % ...of those cached : 46
% 0.23/0.59 % Propositional unsat checks : 0
% 0.23/0.59 % Propositional check models : 0
% 0.23/0.59 % Propositional check unsatisfiable : 0
% 0.23/0.59 % Propositional clauses : 0
% 0.23/0.59 % Propositional clauses after purity: 0
% 0.23/0.59 % Propositional unsat core size : 0
% 0.23/0.59 % Propositional preprocessing time : 0.000
% 0.23/0.59 % Propositional encoding time : 0.000
% 0.23/0.59 % Propositional solver time : 0.000
% 0.23/0.59 % Success case prop preproc time : 0.000
% 0.23/0.59 % Success case prop encoding time : 0.000
% 0.23/0.59 % Success case prop solver time : 0.000
% 0.23/0.59 % Current number of processed clauses : 122
% 0.23/0.59 % Positive orientable unit clauses : 69
% 0.23/0.59 % Positive unorientable unit clauses: 0
% 0.23/0.59 % Negative unit clauses : 18
% 0.23/0.59 % Non-unit-clauses : 35
% 0.23/0.59 % Current number of unprocessed clauses: 334
% 0.23/0.59 % ...number of literals in the above : 976
% 0.23/0.59 % Current number of archived formulas : 0
% 0.23/0.59 % Current number of archived clauses : 403
% 0.23/0.59 % Clause-clause subsumption calls (NU) : 10217
% 0.23/0.59 % Rec. Clause-clause subsumption calls : 4022
% 0.23/0.59 % Non-unit clause-clause subsumptions : 136
% 0.23/0.59 % Unit Clause-clause subsumption calls : 36
% 0.23/0.59 % Rewrite failures with RHS unbound : 0
% 0.23/0.59 % BW rewrite match attempts : 71
% 0.23/0.59 % BW rewrite match successes : 33
% 0.23/0.59 % Condensation attempts : 0
% 0.23/0.59 % Condensation successes : 0
% 0.23/0.59 % Termbank termtop insertions : 37862
% 0.23/0.59 % Search garbage collected termcells : 3043
% 0.23/0.59
% 0.23/0.59 % -------------------------------------------------
% 0.23/0.59 % User time : 0.079 s
% 0.23/0.59 % System time : 0.013 s
% 0.23/0.59 % Total time : 0.092 s
% 0.23/0.59 % Maximum resident set size: 5196 pages
% 0.23/0.59
% 0.23/0.59 % -------------------------------------------------
% 0.23/0.59 % User time : 0.173 s
% 0.23/0.59 % System time : 0.023 s
% 0.23/0.59 % Total time : 0.195 s
% 0.23/0.59 % Maximum resident set size: 5376 pages
% 0.23/0.59 % E exiting
%------------------------------------------------------------------------------