%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV210+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:53:58 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 256 ( 152 equ)
% Maximal formula atoms : 66 ( 16 avg)
% Number of connectives : 290 ( 50 ~; 46 |; 178 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0021,conjecture,
( ( ! [X4,X20] :
( ( leq(X20,n998)
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,n998)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X21,X22] :
( ( leq(X22,n998)
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(z_defuse,X21,X22) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0021) ).
fof(c_0_1,plain,
( epred1_0
<=> ( ! [X4,X20] :
( ( leq(X20,n998)
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,n998)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ( ( ! [X4,X20] :
( ( leq(X20,n998)
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,n998)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X21,X22] :
( ( leq(X22,n998)
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(z_defuse,X21,X22) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0021]) ).
fof(c_0_3,plain,
( epred1_0
=> ( ! [X4,X20] :
( ( leq(X20,n998)
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,n998)
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_4,negated_conjecture,
~ ( epred1_0
=> ! [X21,X22] :
( ( leq(X22,n998)
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(z_defuse,X21,X22) = use ) ),
inference(apply_def,[status(thm)],[c_0_2,c_0_1]) ).
fof(c_0_5,plain,
! [X69,X70,X71,X72] :
( ( ~ epred1_0
| a_select3(z_defuse,X71,X72) = use
| ~ leq(X72,n998)
| ~ leq(X71,n2)
| ~ leq(n0,X72)
| ~ leq(n0,X71) )
& ( ~ epred1_0
| a_select3(u_defuse,X69,X70) = use
| ~ leq(X70,n998)
| ~ leq(X69,n2)
| ~ leq(n0,X70)
| ~ leq(n0,X69) )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n3) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(xinit_noise_defuse,n0) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n3) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(xinit_mean_defuse,n0) = use )
& ( ~ epred1_0
| a_select2(xinit_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(xinit_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(xinit_defuse,n3) = use )
& ( ~ epred1_0
| a_select3(u_defuse,n2,n0) = use )
& ( ~ epred1_0
| a_select3(u_defuse,n1,n0) = use )
& ( ~ epred1_0
| a_select3(u_defuse,n0,n0) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n5) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n4) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n3) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(sigma_defuse,n0) = use )
& ( ~ epred1_0
| a_select2(rho_defuse,n2) = use )
& ( ~ epred1_0
| a_select2(rho_defuse,n1) = use )
& ( ~ epred1_0
| a_select2(rho_defuse,n0) = use ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_6,negated_conjecture,
( a_select3(z_defuse,esk1_0,esk2_0) != use
& leq(esk2_0,n998)
& leq(esk1_0,n2)
& leq(n0,esk2_0)
& leq(n0,esk1_0)
& epred1_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_7,plain,
( ~ epred1_0
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(z_defuse,X1,X2) = use ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
a_select3(z_defuse,esk1_0,esk2_0) != use,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,n998)
| a_select3(z_defuse,X1,X2) = use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
leq(esk2_0,n998),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
leq(esk1_0,n2),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV210+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:34:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.44 % Version: 3.5.1
% 0.11/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % new_bool_3 with pid 2725410 completed with status 0
% 0.11/0.44 % Result found by new_bool_3
% 0.11/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGUSM-FFMM32-MFFFFFNN
% 0.11/0.44 % partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.44 % SubtermCWHack with pid 2725414 completed with status 0
% 0.11/0.44 % Result found by SubtermCWHack
% 0.11/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGUSM-FFMM32-MFFFFFNN
% 0.11/0.44 % partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.44 % Preprocessing time : 0.001 s
% 0.11/0.44
% 0.11/0.44 % Proof found!
% 0.11/0.44 % SZS status Theorem
% 0.11/0.44 % SZS output start CNFRefutation
% See solution above
% 0.11/0.44 % Parsed axioms : 92
% 0.11/0.44 % Removed by relevancy pruning/SinE : 29
% 0.11/0.44 % Initial clauses : 99
% 0.11/0.44 % Removed in clause preprocessing : 0
% 0.11/0.44 % Initial clauses in saturation : 99
% 0.11/0.44 % Processed clauses : 308
% 0.11/0.44 % ...of these trivial : 0
% 0.11/0.44 % ...subsumed : 107
% 0.11/0.44 % ...remaining for further processing : 201
% 0.11/0.44 % Other redundant clauses eliminated : 0
% 0.11/0.44 % Clauses deleted for lack of memory : 0
% 0.11/0.44 % Backward-subsumed : 0
% 0.11/0.44 % Backward-rewritten : 8
% 0.11/0.44 % Generated clauses : 534
% 0.11/0.44 % ...of the previous two non-redundant : 396
% 0.11/0.44 % ...aggressively subsumed : 0
% 0.11/0.44 % Contextual simplify-reflections : 0
% 0.11/0.44 % Paramodulations : 532
% 0.11/0.44 % Factorizations : 2
% 0.11/0.44 % NegExts : 0
% 0.11/0.44 % Equation resolutions : 0
% 0.11/0.44 % Disequality decompositions : 0
% 0.11/0.44 % Total rewrite steps : 294
% 0.11/0.44 % ...of those cached : 254
% 0.11/0.44 % Propositional unsat checks : 0
% 0.11/0.44 % Propositional check models : 0
% 0.11/0.44 % Propositional check unsatisfiable : 0
% 0.11/0.44 % Propositional clauses : 0
% 0.11/0.44 % Propositional clauses after purity: 0
% 0.11/0.44 % Propositional unsat core size : 0
% 0.11/0.44 % Propositional preprocessing time : 0.000
% 0.11/0.44 % Propositional encoding time : 0.000
% 0.11/0.44 % Propositional solver time : 0.000
% 0.11/0.44 % Success case prop preproc time : 0.000
% 0.11/0.44 % Success case prop encoding time : 0.000
% 0.11/0.44 % Success case prop solver time : 0.000
% 0.11/0.44 % Current number of processed clauses : 193
% 0.11/0.44 % Positive orientable unit clauses : 87
% 0.11/0.44 % Positive unorientable unit clauses: 0
% 0.11/0.44 % Negative unit clauses : 43
% 0.11/0.44 % Non-unit-clauses : 63
% 0.11/0.44 % Current number of unprocessed clauses: 187
% 0.11/0.44 % ...number of literals in the above : 489
% 0.11/0.44 % Current number of archived formulas : 0
% 0.11/0.44 % Current number of archived clauses : 8
% 0.11/0.44 % Clause-clause subsumption calls (NU) : 210
% 0.11/0.44 % Rec. Clause-clause subsumption calls : 123
% 0.11/0.44 % Non-unit clause-clause subsumptions : 6
% 0.11/0.44 % Unit Clause-clause subsumption calls : 384
% 0.11/0.44 % Rewrite failures with RHS unbound : 0
% 0.11/0.44 % BW rewrite match attempts : 5
% 0.11/0.44 % BW rewrite match successes : 1
% 0.11/0.44 % Condensation attempts : 0
% 0.11/0.44 % Condensation successes : 0
% 0.11/0.44 % Termbank termtop insertions : 9010
% 0.11/0.44 % Search garbage collected termcells : 773
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.012 s
% 0.11/0.44 % System time : 0.003 s
% 0.11/0.44 % Total time : 0.015 s
% 0.11/0.44 % Maximum resident set size: 3756 pages
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.014 s
% 0.11/0.44 % System time : 0.005 s
% 0.11/0.44 % Total time : 0.019 s
% 0.11/0.44 % Maximum resident set size: 4608 pages
% 0.11/0.44 % E exiting
%------------------------------------------------------------------------------