%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 02:01:19 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 22 unt; 0 def)
% Number of atoms : 95 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 38 ~; 28 |; 2 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel55_4,axiom,
! [X1,X2] :
( killed(X1,X2)
=> hates(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_4) ).
fof(pel55_1,axiom,
? [X1] :
( killed(X1,agatha)
& lives(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_1) ).
fof(pel55_3,axiom,
! [X1] :
( lives(X1)
=> ( X1 = charles
| X1 = butler
| X1 = agatha ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_3) ).
fof(pel55_10,axiom,
! [X1] :
? [X2] : ~ hates(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_10) ).
fof(pel55_5,axiom,
! [X1,X2] :
( killed(X1,X2)
=> ~ richer(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_5) ).
fof(pel55_8,axiom,
! [X1] :
( ~ richer(X1,agatha)
=> hates(butler,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_8) ).
fof(pel55_6,axiom,
! [X1] :
( hates(agatha,X1)
=> ~ hates(charles,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_6) ).
fof(pel55_9,axiom,
! [X1] :
( hates(agatha,X1)
=> hates(butler,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_9) ).
fof(pel55_7,axiom,
! [X1] :
( X1 != butler
=> hates(agatha,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_7) ).
fof(pel55_11,axiom,
agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_11) ).
fof(pel55,conjecture,
killed(agatha,agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55) ).
fof(c_0_11,plain,
! [X4,X5] :
( hates(X4,X5)
| ~ killed(X4,X5) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_4])])]) ).
fof(c_0_12,plain,
( killed(esk1_0,agatha)
& lives(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel55_1])]) ).
fof(c_0_13,plain,
! [X8] :
( X8 = charles
| X8 = butler
| X8 = agatha
| ~ lives(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_3])])]) ).
fof(c_0_14,plain,
! [X1] :
? [X2] : ~ hates(X1,X2),
inference(fof_simplification,[status(thm)],[pel55_10]) ).
fof(c_0_15,plain,
! [X1,X2] :
( killed(X1,X2)
=> ~ richer(X1,X2) ),
inference(fof_simplification,[status(thm)],[pel55_5]) ).
fof(c_0_16,plain,
! [X1] :
( ~ richer(X1,agatha)
=> hates(butler,X1) ),
inference(fof_simplification,[status(thm)],[pel55_8]) ).
fof(c_0_17,plain,
! [X1] :
( hates(agatha,X1)
=> ~ hates(charles,X1) ),
inference(fof_simplification,[status(thm)],[pel55_6]) ).
cnf(c_0_18,plain,
( ~ killed(X1,X2)
| hates(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
killed(esk1_0,agatha),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( ~ lives(X1)
| X1 = charles
| X1 = butler
| X1 = agatha ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
lives(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X13] : ~ hates(X13,esk2_1(X13)),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])])]) ).
fof(c_0_23,plain,
! [X12] :
( hates(butler,X12)
| ~ hates(agatha,X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_9])])]) ).
fof(c_0_24,plain,
! [X1] :
( X1 != butler
=> hates(agatha,X1) ),
inference(fof_simplification,[status(thm)],[pel55_7]) ).
fof(c_0_25,plain,
! [X6,X7] :
( ~ richer(X6,X7)
| ~ killed(X6,X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_26,plain,
! [X11] :
( hates(butler,X11)
| richer(X11,agatha) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_27,plain,
! [X9] :
( ~ hates(charles,X9)
| ~ hates(agatha,X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_28,plain,
hates(esk1_0,agatha),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_29,plain,
( esk1_0 = charles
| esk1_0 = butler
| esk1_0 = agatha ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_30,plain,
agatha != butler,
inference(fof_simplification,[status(thm)],[pel55_11]) ).
cnf(c_0_31,plain,
~ hates(X1,esk2_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( ~ hates(agatha,X1)
| hates(butler,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_33,plain,
! [X10] :
( hates(agatha,X10)
| X10 = butler ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
cnf(c_0_34,plain,
( ~ richer(X1,X2)
| ~ killed(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( hates(butler,X1)
| richer(X1,agatha) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( ~ hates(charles,X1)
| ~ hates(agatha,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( hates(charles,agatha)
| esk1_0 = agatha
| esk1_0 = butler ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_38,plain,
agatha != butler,
inference(fof_nnf,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
~ hates(agatha,esk2_1(butler)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,plain,
( hates(agatha,X1)
| X1 = butler ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,negated_conjecture,
~ killed(agatha,agatha),
inference(assume_negation,[status(cth)],[pel55]) ).
cnf(c_0_42,plain,
( ~ killed(X1,agatha)
| hates(butler,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,plain,
( ~ hates(agatha,agatha)
| esk1_0 = butler
| esk1_0 = agatha ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
agatha != butler,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
esk2_1(butler) = butler,
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_46,negated_conjecture,
~ killed(agatha,agatha),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
hates(butler,esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_48,plain,
( esk1_0 = agatha
| esk1_0 = butler ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_44]) ).
cnf(c_0_49,plain,
~ hates(butler,butler),
inference(spm,[status(thm)],[c_0_31,c_0_45]) ).
fof(c_0_50,negated_conjecture,
~ killed(agatha,agatha),
inference(fof_nnf,[status(thm)],[c_0_46]) ).
cnf(c_0_51,plain,
esk1_0 = agatha,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
~ killed(agatha,agatha),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 03:44:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % sh5l with pid 2170034 completed with status 0
% 0.12/0.45 % Result found by sh5l
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.45 % Search class: FGHSF-FFSS11-SFFFFFNN
% 0.12/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45 % SubtermCWHack with pid 2170043 completed with status 0
% 0.12/0.45 % Result found by SubtermCWHack
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.45 % Search class: FGHSF-FFSS11-SFFFFFNN
% 0.12/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45 % Preprocessing time : 0.001 s
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Theorem
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 14
% 0.12/0.45 % Removed by relevancy pruning/SinE : 0
% 0.12/0.45 % Initial clauses : 15
% 0.12/0.45 % Removed in clause preprocessing : 0
% 0.12/0.45 % Initial clauses in saturation : 15
% 0.12/0.45 % Processed clauses : 40
% 0.12/0.45 % ...of these trivial : 0
% 0.12/0.45 % ...subsumed : 4
% 0.12/0.45 % ...remaining for further processing : 36
% 0.12/0.45 % Other redundant clauses eliminated : 0
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 9
% 0.12/0.45 % Backward-rewritten : 6
% 0.12/0.45 % Generated clauses : 43
% 0.12/0.45 % ...of the previous two non-redundant : 40
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 0
% 0.12/0.45 % Paramodulations : 38
% 0.12/0.45 % Factorizations : 5
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 0
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 11
% 0.12/0.45 % ...of those cached : 6
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 21
% 0.12/0.45 % Positive orientable unit clauses : 6
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 7
% 0.12/0.45 % Non-unit-clauses : 8
% 0.12/0.45 % Current number of unprocessed clauses: 3
% 0.12/0.45 % ...number of literals in the above : 6
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 15
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 21
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 17
% 0.12/0.45 % Non-unit clause-clause subsumptions : 9
% 0.12/0.45 % Unit Clause-clause subsumption calls : 13
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 2
% 0.12/0.45 % BW rewrite match successes : 2
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 898
% 0.12/0.45 % Search garbage collected termcells : 81
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.005 s
% 0.12/0.45 % System time : 0.003 s
% 0.12/0.45 % Total time : 0.007 s
% 0.12/0.45 % Maximum resident set size: 3636 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.006 s
% 0.12/0.45 % System time : 0.008 s
% 0.12/0.45 % Total time : 0.013 s
% 0.12/0.45 % Maximum resident set size: 4608 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------