%------------------------------------------------------------------------------
% File : E---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 : 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 03:10:06 PM UTC 2026
% Result : Theorem 0.08s 10.55s
% Output : CNFRefutation 0.08s
% 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,
! [X2652,X2653,X2654] :
( c_Orderings_Oord__class_Oless(X2654,X2652,X2653)
| c_Orderings_Oord__class_Oless__eq(X2654,X2653,X2652)
| ~ class_Orderings_Olinorder(X2654) ),
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,
! [X2188,X2189,X2190,X2191] :
( c_Orderings_Oord__class_Oless(X2191,X2188,X2189)
| ~ c_Orderings_Oord__class_Oless(X2191,X2188,X2190)
| ~ c_Orderings_Oord__class_Oless(X2191,X2190,X2189)
| ~ class_Orderings_Oorder(X2191) ),
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,
! [X2586,X2587,X2588] :
( ~ c_Orderings_Oord__class_Oless(X2588,X2586,X2587)
| ~ c_Orderings_Oord__class_Oless(X2588,X2587,X2586)
| ~ class_Orderings_Opreorder(X2588) ),
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
% 0.00/0.01 % Problem : SWW215+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/10.33 % Computer : n012.cluster.edu
% 0.04/10.33 % Model : x86_64 x86_64
% 0.04/10.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.33 % Memory : 8046.5625MB
% 0.04/10.33 % OS : Linux 6.8.0-71-generic
% 0.04/10.33 % CPULimit : 300
% 0.04/10.33 % WCLimit : 300
% 0.04/10.33 % DateTime : Mon Sep 21 09:42:06 UTC 2026
% 0.04/10.33 % CPUTime :
% 0.04/10.33 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/10.35 Running first-order theorem proving
% 0.04/10.35 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
% 0.08/10.55 % Version: 3.5.1
% 0.08/10.55 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.08/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.08/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.08/10.55 % Starting sh5l with 300s (1) cores
% 0.08/10.55 % sh5l with pid 2098068 completed with status 0
% 0.08/10.55 % Result found by sh5l
% 0.08/10.55 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.08/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.08/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.08/10.55 % Starting sh5l with 300s (1) cores
% 0.08/10.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/10.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/10.55 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.08/10.55 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.08/10.55 % Starting SubtermCWHack with 28s (1) cores
% 0.08/10.55 % SubtermCWHack with pid 2098071 completed with status 0
% 0.08/10.55 % Result found by SubtermCWHack
% 0.08/10.55 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.08/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.08/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.08/10.55 % Starting sh5l with 300s (1) cores
% 0.08/10.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/10.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/10.55 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.08/10.55 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.08/10.55 % Starting SubtermCWHack with 28s (1) cores
% 0.08/10.55 % Preprocessing time : 0.013 s
% 0.08/10.55
% 0.08/10.55 % Proof found!
% 0.08/10.55 % SZS status Theorem
% 0.08/10.55 % SZS output start CNFRefutation
% See solution above
% 0.08/10.55 % Parsed axioms : 1278
% 0.08/10.55 % Removed by relevancy pruning/SinE : 146
% 0.08/10.55 % Initial clauses : 1673
% 0.08/10.55 % Removed in clause preprocessing : 76
% 0.08/10.55 % Initial clauses in saturation : 1597
% 0.08/10.55 % Processed clauses : 2891
% 0.08/10.55 % ...of these trivial : 53
% 0.08/10.55 % ...subsumed : 1512
% 0.08/10.55 % ...remaining for further processing : 1326
% 0.08/10.55 % Other redundant clauses eliminated : 606
% 0.08/10.55 % Clauses deleted for lack of memory : 0
% 0.08/10.55 % Backward-subsumed : 10
% 0.08/10.55 % Backward-rewritten : 5
% 0.08/10.55 % Generated clauses : 9630
% 0.08/10.55 % ...of the previous two non-redundant : 6583
% 0.08/10.55 % ...aggressively subsumed : 0
% 0.08/10.55 % Contextual simplify-reflections : 1
% 0.08/10.55 % Paramodulations : 9009
% 0.08/10.55 % Factorizations : 10
% 0.08/10.55 % NegExts : 0
% 0.08/10.55 % Equation resolutions : 620
% 0.08/10.55 % Disequality decompositions : 0
% 0.08/10.55 % Total rewrite steps : 6241
% 0.08/10.55 % ...of those cached : 5732
% 0.08/10.55 % Propositional unsat checks : 0
% 0.08/10.55 % Propositional check models : 0
% 0.08/10.55 % Propositional check unsatisfiable : 0
% 0.08/10.55 % Propositional clauses : 0
% 0.08/10.55 % Propositional clauses after purity: 0
% 0.08/10.55 % Propositional unsat core size : 0
% 0.08/10.55 % Propositional preprocessing time : 0.000
% 0.08/10.55 % Propositional encoding time : 0.000
% 0.08/10.55 % Propositional solver time : 0.000
% 0.08/10.55 % Success case prop preproc time : 0.000
% 0.08/10.55 % Success case prop encoding time : 0.000
% 0.08/10.55 % Success case prop solver time : 0.000
% 0.08/10.55 % Current number of processed clauses : 1218
% 0.08/10.55 % Positive orientable unit clauses : 429
% 0.08/10.55 % Positive unorientable unit clauses: 6
% 0.08/10.55 % Negative unit clauses : 111
% 0.08/10.55 % Non-unit-clauses : 672
% 0.08/10.55 % Current number of unprocessed clauses: 5281
% 0.08/10.55 % ...number of literals in the above : 13599
% 0.08/10.55 % Current number of archived formulas : 0
% 0.08/10.55 % Current number of archived clauses : 15
% 0.08/10.55 % Clause-clause subsumption calls (NU) : 36878
% 0.08/10.55 % Rec. Clause-clause subsumption calls : 25888
% 0.08/10.55 % Non-unit clause-clause subsumptions : 692
% 0.08/10.55 % Unit Clause-clause subsumption calls : 1626
% 0.08/10.55 % Rewrite failures with RHS unbound : 0
% 0.08/10.55 % BW rewrite match attempts : 1555
% 0.08/10.55 % BW rewrite match successes : 50
% 0.08/10.55 % Condensation attempts : 0
% 0.08/10.55 % Condensation successes : 0
% 0.08/10.55 % Termbank termtop insertions : 248319
% 0.08/10.55 % Search garbage collected termcells : 22138
% 0.08/10.55
% 0.08/10.55 % -------------------------------------------------
% 0.08/10.55 % User time : 0.140 s
% 0.08/10.55 % System time : 0.019 s
% 0.08/10.55 % Total time : 0.159 s
% 0.08/10.55 % Maximum resident set size: 10496 pages
% 0.08/10.55
% 0.08/10.55 % -------------------------------------------------
% 0.08/10.55 % User time : 0.159 s
% 0.08/10.55 % System time : 0.023 s
% 0.08/10.55 % Total time : 0.182 s
% 0.08/10.55 % Maximum resident set size: 6400 pages
% 0.08/10.55 % E exiting
%------------------------------------------------------------------------------