%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW215+1 : TPTP v9.3.1. Released v5.2.0.
% 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 03:11:45 PM UTC 2026
% Result : Theorem 0.15s 15.88s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 18 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 16 |; 0 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_not__leE,axiom,
! [X7,X22,X4] :
( class_Orderings_Olinorder(X4)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X4,X22,X7)
=> c_Orderings_Oord__class_Oless(X4,X7,X22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__leE) ).
fof(fact_order__less__not__sym,axiom,
! [X22,X7,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X7,X22)
=> ~ c_Orderings_Oord__class_Oless(X4,X22,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__not__sym) ).
fof(fact_xt1_I10_J,axiom,
! [X13,X7,X22,X4] :
( class_Orderings_Oorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X22,X7)
=> ( c_Orderings_Oord__class_Oless(X4,X13,X22)
=> c_Orderings_Oord__class_Oless(X4,X13,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I10_J) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(fact_H_I2_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I2_J) ).
fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(fact_H_I5_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I5_J) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(c_0_9,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_10,plain,
! [X7,X22,X4] :
( class_Orderings_Olinorder(X4)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X4,X22,X7)
=> c_Orderings_Oord__class_Oless(X4,X7,X22) ) ),
inference(fof_simplification,[status(thm)],[fact_not__leE]) ).
fof(c_0_11,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X238,X239,X240] :
( c_Orderings_Oord__class_Oless(X240,X238,X239)
| c_Orderings_Oord__class_Oless__eq(X240,X239,X238)
| ~ class_Orderings_Olinorder(X240) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X22,X7,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X7,X22)
=> ~ c_Orderings_Oord__class_Oless(X4,X22,X7) ) ),
inference(fof_simplification,[status(thm)],[fact_order__less__not__sym]) ).
fof(c_0_14,plain,
! [X185,X186,X187,X188] :
( c_Orderings_Oord__class_Oless(X188,X185,X186)
| ~ c_Orderings_Oord__class_Oless(X188,X185,X187)
| ~ c_Orderings_Oord__class_Oless(X188,X187,X186)
| ~ class_Orderings_Oorder(X188) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I10_J])])]) ).
fof(c_0_15,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
fof(c_0_18,plain,
! [X147,X148,X149] :
( ~ c_Orderings_Oord__class_Oless(X149,X147,X148)
| ~ c_Orderings_Oord__class_Oless(X149,X148,X147)
| ~ class_Orderings_Opreorder(X149) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X4,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[fact_H_I2_J]) ).
cnf(c_0_21,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(c_0_22,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(split_conjunct,[status(thm)],[fact_H_I5_J]) ).
cnf(c_0_26,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(c_0_27,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_28,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW215+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/15.57 % Computer : n010.cluster.edu
% 0.11/15.57 % Model : x86_64 x86_64
% 0.11/15.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.57 % Memory : 8046.5625MB
% 0.11/15.57 % OS : Linux 6.8.0-71-generic
% 0.11/15.57 % CPULimit : 300
% 0.11/15.57 % WCLimit : 300
% 0.11/15.57 % DateTime : Mon Sep 21 09:42:43 UTC 2026
% 0.11/15.57 % CPUTime :
% 0.11/15.57 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/15.61 Running first-order theorem proving
% 0.15/15.61 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
% 0.15/15.88 % Version: 3.5.1
% 0.15/15.88 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/15.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/15.88 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.88 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.88 % Starting sh5l with 300s (1) cores
% 0.15/15.88 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 593484 completed with status 0
% 0.15/15.88 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/15.88 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/15.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/15.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.88 % No SInE strategy applied
% 0.15/15.88 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.15/15.88 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.88 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/15.88 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 0.15/15.88 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.15/15.88 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.15/15.88 % SubtermCWHack with pid 593496 completed with status 0
% 0.15/15.88 % Result found by SubtermCWHack
% 0.15/15.88 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/15.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/15.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.88 % No SInE strategy applied
% 0.15/15.88 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.15/15.88 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.88 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.88 % Preprocessing time : 0.015 s
% 0.15/15.88
% 0.15/15.88 % Proof found!
% 0.15/15.88 % SZS status Theorem
% 0.15/15.88 % SZS output start CNFRefutation
% See solution above
% 0.15/15.88 % Parsed axioms : 1278
% 0.15/15.88 % Removed by relevancy pruning/SinE : 0
% 0.15/15.88 % Initial clauses : 1840
% 0.15/15.88 % Removed in clause preprocessing : 80
% 0.15/15.88 % Initial clauses in saturation : 1760
% 0.15/15.88 % Processed clauses : 3383
% 0.15/15.88 % ...of these trivial : 79
% 0.15/15.88 % ...subsumed : 1815
% 0.15/15.88 % ...remaining for further processing : 1489
% 0.15/15.88 % Other redundant clauses eliminated : 184
% 0.15/15.88 % Clauses deleted for lack of memory : 0
% 0.15/15.88 % Backward-subsumed : 4
% 0.15/15.88 % Backward-rewritten : 8
% 0.15/15.88 % Generated clauses : 10000
% 0.15/15.88 % ...of the previous two non-redundant : 7838
% 0.15/15.88 % ...aggressively subsumed : 0
% 0.15/15.88 % Contextual simplify-reflections : 1
% 0.15/15.88 % Paramodulations : 9806
% 0.15/15.88 % Factorizations : 8
% 0.15/15.88 % NegExts : 0
% 0.15/15.88 % Equation resolutions : 195
% 0.15/15.88 % Disequality decompositions : 0
% 0.15/15.88 % Total rewrite steps : 6132
% 0.15/15.88 % ...of those cached : 5575
% 0.15/15.88 % Propositional unsat checks : 0
% 0.15/15.88 % Propositional check models : 0
% 0.15/15.88 % Propositional check unsatisfiable : 0
% 0.15/15.88 % Propositional clauses : 0
% 0.15/15.88 % Propositional clauses after purity: 0
% 0.15/15.88 % Propositional unsat core size : 0
% 0.15/15.88 % Propositional preprocessing time : 0.000
% 0.15/15.88 % Propositional encoding time : 0.000
% 0.15/15.88 % Propositional solver time : 0.000
% 0.15/15.88 % Success case prop preproc time : 0.000
% 0.15/15.88 % Success case prop encoding time : 0.000
% 0.15/15.88 % Success case prop solver time : 0.000
% 0.15/15.88 % Current number of processed clauses : 1377
% 0.15/15.88 % Positive orientable unit clauses : 544
% 0.15/15.88 % Positive unorientable unit clauses: 6
% 0.15/15.88 % Negative unit clauses : 155
% 0.15/15.88 % Non-unit-clauses : 672
% 0.15/15.88 % Current number of unprocessed clauses: 6204
% 0.15/15.88 % ...number of literals in the above : 15308
% 0.15/15.88 % Current number of archived formulas : 0
% 0.15/15.88 % Current number of archived clauses : 12
% 0.15/15.88 % Clause-clause subsumption calls (NU) : 42762
% 0.15/15.88 % Rec. Clause-clause subsumption calls : 31008
% 0.15/15.88 % Non-unit clause-clause subsumptions : 643
% 0.15/15.88 % Unit Clause-clause subsumption calls : 3680
% 0.15/15.88 % Rewrite failures with RHS unbound : 0
% 0.15/15.88 % BW rewrite match attempts : 2838
% 0.15/15.88 % BW rewrite match successes : 58
% 0.15/15.88 % Condensation attempts : 0
% 0.15/15.88 % Condensation successes : 0
% 0.15/15.88 % Termbank termtop insertions : 271312
% 0.15/15.88 % Search garbage collected termcells : 23048
% 0.15/15.88
% 0.15/15.88 % -------------------------------------------------
% 0.15/15.88 % User time : 0.202 s
% 0.15/15.88 % System time : 0.023 s
% 0.15/15.88 % Total time : 0.224 s
% 0.15/15.88 % Maximum resident set size: 10496 pages
% 0.15/15.88
% 0.15/15.88 % -------------------------------------------------
% 0.15/15.88 % User time : 0.660 s
% 0.15/15.88 % System time : 0.086 s
% 0.15/15.88 % Total time : 0.745 s
% 0.15/15.88 % Maximum resident set size: 6144 pages
% 0.15/15.88 % E exiting
%------------------------------------------------------------------------------