%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW204+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 03:11:43 PM UTC 2026
% Result : Theorem 4.09s 1.54s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 41 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_real__le__linear,axiom,
! [X7,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(fact_real__le__antisym,axiom,
! [X7,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8))
=> X8 = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__antisym) ).
fof(fact_real__le__trans,axiom,
! [X9,X10,X11] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(fact__0960_A_060_061_Acmod_A_Is_A0_J_096,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__0960_A_060_061_Acmod_A_Is_A0_J_096) ).
fof(fact_assms,axiom,
! [X6] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X6))),v_r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
fof(c_0_9,plain,
! [X126,X127] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X126),X127))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X127),X126)) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(c_0_10,plain,
! [X131,X132] :
( X132 = X131
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X131),X132))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X132),X131)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])])]) ).
fof(c_0_11,plain,
! [X128,X129,X130] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X130),X128))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X129),X128))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X130),X129)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])])]) ).
cnf(c_0_12,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(split_conjunct,[status(thm)],[fact__0960_A_060_061_Acmod_A_Is_A0_J_096]) ).
cnf(c_0_16,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X3))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_18,plain,
! [X124] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X124))),v_r)),
inference(variable_rename,[status(thm)],[fact_assms]) ).
cnf(c_0_19,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW204+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n011.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 09:41:26 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 4.09/1.54 % Version: 3.5.1
% 4.09/1.54 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.09/1.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.09/1.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.09/1.54 % Starting new_bool_3 with 300s (1) cores
% 4.09/1.54 % Starting new_bool_1 with 300s (1) cores
% 4.09/1.54 % Starting sh5l with 300s (1) cores
% 4.09/1.54 % new_bool_1 with pid 1585510 completed with status 0
% 4.09/1.54 % Result found by new_bool_1
% 4.09/1.54 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.09/1.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.09/1.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.09/1.54 % Starting new_bool_3 with 300s (1) cores
% 4.09/1.54 % Starting new_bool_1 with 300s (1) cores
% 4.09/1.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.09/1.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.09/1.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 4.09/1.54 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.09/1.54 % Starting SubtermCWHack with 28s (1) cores
% 4.09/1.54 % SubtermCWHack with pid 1585513 completed with status 0
% 4.09/1.54 % Result found by SubtermCWHack
% 4.09/1.54 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.09/1.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.09/1.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.09/1.54 % Starting new_bool_3 with 300s (1) cores
% 4.09/1.54 % Starting new_bool_1 with 300s (1) cores
% 4.09/1.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.09/1.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.09/1.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 4.09/1.54 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.09/1.54 % Starting SubtermCWHack with 28s (1) cores
% 4.09/1.54 % Preprocessing time : 0.011 s
% 4.09/1.54
% 4.09/1.54 % Proof found!
% 4.09/1.54 % SZS status Theorem
% 4.09/1.54 % SZS output start CNFRefutation
% See solution above
% 4.09/1.54 % Parsed axioms : 1264
% 4.09/1.54 % Removed by relevancy pruning/SinE : 984
% 4.09/1.54 % Initial clauses : 416
% 4.09/1.54 % Removed in clause preprocessing : 18
% 4.09/1.54 % Initial clauses in saturation : 398
% 4.09/1.54 % Processed clauses : 4687
% 4.09/1.54 % ...of these trivial : 432
% 4.09/1.54 % ...subsumed : 3111
% 4.09/1.54 % ...remaining for further processing : 1144
% 4.09/1.54 % Other redundant clauses eliminated : 208
% 4.09/1.54 % Clauses deleted for lack of memory : 0
% 4.09/1.54 % Backward-subsumed : 27
% 4.09/1.54 % Backward-rewritten : 17
% 4.09/1.54 % Generated clauses : 26663
% 4.09/1.54 % ...of the previous two non-redundant : 21039
% 4.09/1.54 % ...aggressively subsumed : 0
% 4.09/1.54 % Contextual simplify-reflections : 1
% 4.09/1.54 % Paramodulations : 26435
% 4.09/1.54 % Factorizations : 8
% 4.09/1.54 % NegExts : 0
% 4.09/1.54 % Equation resolutions : 225
% 4.09/1.54 % Disequality decompositions : 0
% 4.09/1.54 % Total rewrite steps : 11718
% 4.09/1.54 % ...of those cached : 9615
% 4.09/1.54 % Propositional unsat checks : 0
% 4.09/1.54 % Propositional check models : 0
% 4.09/1.54 % Propositional check unsatisfiable : 0
% 4.09/1.54 % Propositional clauses : 0
% 4.09/1.54 % Propositional clauses after purity: 0
% 4.09/1.54 % Propositional unsat core size : 0
% 4.09/1.54 % Propositional preprocessing time : 0.000
% 4.09/1.54 % Propositional encoding time : 0.000
% 4.09/1.54 % Propositional solver time : 0.000
% 4.09/1.54 % Success case prop preproc time : 0.000
% 4.09/1.54 % Success case prop encoding time : 0.000
% 4.09/1.54 % Success case prop solver time : 0.000
% 4.09/1.54 % Current number of processed clauses : 1055
% 4.09/1.54 % Positive orientable unit clauses : 394
% 4.09/1.54 % Positive unorientable unit clauses: 5
% 4.09/1.54 % Negative unit clauses : 235
% 4.09/1.54 % Non-unit-clauses : 421
% 4.09/1.54 % Current number of unprocessed clauses: 16613
% 4.09/1.54 % ...number of literals in the above : 35789
% 4.09/1.54 % Current number of archived formulas : 0
% 4.09/1.54 % Current number of archived clauses : 44
% 4.09/1.54 % Clause-clause subsumption calls (NU) : 12723
% 4.09/1.54 % Rec. Clause-clause subsumption calls : 11549
% 4.09/1.54 % Non-unit clause-clause subsumptions : 551
% 4.09/1.54 % Unit Clause-clause subsumption calls : 14302
% 4.09/1.54 % Rewrite failures with RHS unbound : 0
% 4.09/1.54 % BW rewrite match attempts : 10967
% 4.09/1.54 % BW rewrite match successes : 39
% 4.09/1.54 % Condensation attempts : 0
% 4.09/1.54 % Condensation successes : 0
% 4.09/1.54 % Termbank termtop insertions : 544497
% 4.09/1.54 % Search garbage collected termcells : 11329
% 4.09/1.54
% 4.09/1.54 % -------------------------------------------------
% 4.09/1.54 % User time : 0.771 s
% 4.09/1.54 % System time : 0.039 s
% 4.09/1.54 % Total time : 0.811 s
% 4.09/1.54 % Maximum resident set size: 6200 pages
% 4.09/1.54
% 4.09/1.54 % -------------------------------------------------
% 4.09/1.54 % User time : 0.850 s
% 4.09/1.54 % System time : 0.049 s
% 4.09/1.54 % Total time : 0.898 s
% 4.09/1.54 % Maximum resident set size: 5888 pages
% 4.09/1.54 % E exiting
%------------------------------------------------------------------------------