%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV573-1 : 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 : n012.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 02:59:34 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.36s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 6 RR)
% Number of literals : 15 ( 9 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_of__real__of__nat__eq_0,axiom,
( ~ class_RealVector_Oreal__algebra__1(X1)
| c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X2,tc_RealDef_Oreal),X1) = c_Nat_Osemiring__1__class_Oof__nat(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__real__of__nat__eq_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_complex__of__real__def_0,axiom,
c_RealVector_Oof__real(X1,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1) ).
cnf(c_0_4,plain,
( ~ class_RealVector_Oreal__algebra__1(X1)
| c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X2,tc_RealDef_Oreal),X1) = c_Nat_Osemiring__1__class_Oof__nat(X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_of__real__of__nat__eq_0]) ).
cnf(c_0_5,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_6,axiom,
c_RealVector_Oof__real(X1,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
cls_complex__of__real__def_0 ).
cnf(c_0_7,plain,
( ~ class_RealVector_Oreal__algebra__1(X1)
| c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X2,tc_RealDef_Oreal),X1) = c_Nat_Osemiring__1__class_Oof__nat(X2,X1) ),
c_0_4 ).
cnf(c_0_8,axiom,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1 ).
cnf(c_0_9,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
c_0_5 ).
cnf(c_0_10,plain,
c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 09:10:53 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.07/0.36 % Version: 3.5.1
% 0.07/0.36 % Preprocessing class: FMLMSMSSSSSNFFN.
% 0.07/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.36 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 0.07/0.36 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.36 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.36 % Starting sh5l with 300s (1) cores
% 0.07/0.36 % new_bool_3 with pid 2055399 completed with status 0
% 0.07/0.36 % Result found by new_bool_3
% 0.07/0.36 % Preprocessing class: FMLMSMSSSSSNFFN.
% 0.07/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.36 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 0.07/0.36 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.36 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.36 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.36 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.07/0.36 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.36 % SubtermCWHack with pid 2055404 completed with status 0
% 0.07/0.36 % Result found by SubtermCWHack
% 0.07/0.36 % Preprocessing class: FMLMSMSSSSSNFFN.
% 0.07/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.36 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 0.07/0.36 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.36 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.36 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.36 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.07/0.36 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.36 % Preprocessing time : 0.004 s
% 0.07/0.36
% 0.07/0.36 % Proof found!
% 0.07/0.36 % SZS status Unsatisfiable
% 0.07/0.36 % SZS output start CNFRefutation
% See solution above
% 0.07/0.36 % Parsed axioms : 1264
% 0.07/0.36 % Removed by relevancy pruning/SinE : 812
% 0.07/0.36 % Initial clauses : 452
% 0.07/0.36 % Removed in clause preprocessing : 0
% 0.07/0.36 % Initial clauses in saturation : 452
% 0.07/0.36 % Processed clauses : 108
% 0.07/0.36 % ...of these trivial : 5
% 0.07/0.36 % ...subsumed : 16
% 0.07/0.36 % ...remaining for further processing : 87
% 0.07/0.36 % Other redundant clauses eliminated : 0
% 0.07/0.36 % Clauses deleted for lack of memory : 0
% 0.07/0.36 % Backward-subsumed : 1
% 0.07/0.36 % Backward-rewritten : 1
% 0.07/0.36 % Generated clauses : 56
% 0.07/0.36 % ...of the previous two non-redundant : 37
% 0.07/0.36 % ...aggressively subsumed : 0
% 0.07/0.36 % Contextual simplify-reflections : 0
% 0.07/0.36 % Paramodulations : 51
% 0.07/0.36 % Factorizations : 2
% 0.07/0.36 % NegExts : 0
% 0.07/0.36 % Equation resolutions : 3
% 0.07/0.36 % Disequality decompositions : 0
% 0.07/0.36 % Total rewrite steps : 24
% 0.07/0.36 % ...of those cached : 9
% 0.07/0.36 % Propositional unsat checks : 0
% 0.07/0.36 % Propositional check models : 0
% 0.07/0.36 % Propositional check unsatisfiable : 0
% 0.07/0.36 % Propositional clauses : 0
% 0.07/0.36 % Propositional clauses after purity: 0
% 0.07/0.36 % Propositional unsat core size : 0
% 0.07/0.36 % Propositional preprocessing time : 0.000
% 0.07/0.36 % Propositional encoding time : 0.000
% 0.07/0.36 % Propositional solver time : 0.000
% 0.07/0.36 % Success case prop preproc time : 0.000
% 0.07/0.36 % Success case prop encoding time : 0.000
% 0.07/0.36 % Success case prop solver time : 0.000
% 0.07/0.36 % Current number of processed clauses : 85
% 0.07/0.36 % Positive orientable unit clauses : 45
% 0.07/0.36 % Positive unorientable unit clauses: 1
% 0.07/0.36 % Negative unit clauses : 5
% 0.07/0.36 % Non-unit-clauses : 34
% 0.07/0.36 % Current number of unprocessed clauses: 379
% 0.07/0.36 % ...number of literals in the above : 1712
% 0.07/0.36 % Current number of archived formulas : 0
% 0.07/0.36 % Current number of archived clauses : 2
% 0.07/0.36 % Clause-clause subsumption calls (NU) : 152
% 0.07/0.36 % Rec. Clause-clause subsumption calls : 145
% 0.07/0.36 % Non-unit clause-clause subsumptions : 12
% 0.07/0.36 % Unit Clause-clause subsumption calls : 15
% 0.07/0.36 % Rewrite failures with RHS unbound : 0
% 0.07/0.36 % BW rewrite match attempts : 3
% 0.07/0.36 % BW rewrite match successes : 3
% 0.07/0.36 % Condensation attempts : 0
% 0.07/0.36 % Condensation successes : 0
% 0.07/0.36 % Termbank termtop insertions : 30599
% 0.07/0.36 % Search garbage collected termcells : 3733
% 0.07/0.36
% 0.07/0.36 % -------------------------------------------------
% 0.07/0.36 % User time : 0.013 s
% 0.07/0.36 % System time : 0.002 s
% 0.07/0.36 % Total time : 0.015 s
% 0.07/0.36 % Maximum resident set size: 5288 pages
% 0.07/0.36
% 0.07/0.36 % -------------------------------------------------
% 0.07/0.36 % User time : 0.027 s
% 0.07/0.36 % System time : 0.006 s
% 0.07/0.36 % Total time : 0.033 s
% 0.07/0.36 % Maximum resident set size: 5632 pages
% 0.07/0.36 % E exiting
%------------------------------------------------------------------------------