%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:01:45 PM UTC 2026
% Result : Theorem 0.26s 0.53s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 141 ( 36 ~; 31 |; 49 &)
% ( 1 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 118 ( 28 sgn 72 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) )
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& alive(X3)
& eats(X3,X1)
& ! [X7] :
( ? [X8] :
( not_killed_by(X8,X7)
& eats(X8,X7) )
=> food(X7) )
& food(X6)
& food(X5)
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& ! [X7,X8] :
( ( eats(X8,X6)
& alive(X8) )
=> likes(X8,X7) ) )
=> likes(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,plain,
! [X1,X2,X3,X6,X5,X4] :
( epred1_6(X4,X5,X6,X3,X2,X1)
<=> ( ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) )
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& alive(X3)
& eats(X3,X1)
& ! [X7] :
( ? [X8] :
( not_killed_by(X8,X7)
& eats(X8,X7) )
=> food(X7) )
& food(X6)
& food(X5)
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& ! [X7,X8] :
( ( eats(X8,X6)
& alive(X8) )
=> likes(X8,X7) ) ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( ( ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) )
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& alive(X3)
& eats(X3,X1)
& ! [X7] :
( ? [X8] :
( not_killed_by(X8,X7)
& eats(X8,X7) )
=> food(X7) )
& food(X6)
& food(X5)
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& ! [X7,X8] :
( ( eats(X8,X6)
& alive(X8) )
=> likes(X8,X7) ) )
=> likes(X2,X1) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_3,plain,
! [X1,X2,X3,X6,X5,X4] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> ( ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) )
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& alive(X3)
& eats(X3,X1)
& ! [X7] :
( ? [X8] :
( not_killed_by(X8,X7)
& eats(X8,X7) )
=> food(X7) )
& food(X6)
& food(X5)
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& ! [X7,X8] :
( ( eats(X8,X6)
& alive(X8) )
=> likes(X8,X7) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> likes(X2,X1) ),
inference(apply_def,[status(thm)],[c_0_2,c_0_1]) ).
fof(c_0_5,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| not_killed_by(X27,X28)
| ~ alive(X27) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| eats(X20,X26)
| ~ eats(X17,X26) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| alive(X17) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| eats(X17,X15) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| food(X24)
| ~ not_killed_by(X25,X24)
| ~ eats(X25,X24) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| food(X18) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| food(X19) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| likes(X16,X23)
| ~ food(X23) )
& ( ~ epred1_6(X20,X19,X18,X17,X16,X15)
| likes(X22,X21)
| ~ eats(X22,X18)
| ~ alive(X22) ) ),
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,
( ~ likes(esk2_0,esk1_0)
& epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_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_6(X3,X4,X5,X6,X7,X8)
| ~ not_killed_by(X1,X2)
| ~ eats(X1,X2)
| food(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ epred1_6(X3,X4,X5,X6,X7,X8)
| ~ alive(X1)
| not_killed_by(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ~ epred1_6(X3,X4,X5,X6,X2,X7)
| ~ food(X1)
| likes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( ~ eats(X2,X1)
| ~ not_killed_by(X2,X1)
| food(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( ~ alive(X1)
| not_killed_by(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,plain,
( ~ epred1_6(X3,X4,X5,X1,X6,X2)
| eats(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( ~ epred1_6(X2,X3,X4,X1,X5,X6)
| alive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
~ likes(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( ~ food(X1)
| likes(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ alive(X2)
| ~ eats(X2,X1)
| food(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
eats(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_19,negated_conjecture,
alive(esk3_0),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_20,negated_conjecture,
~ food(esk1_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 03:53:37 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.50 Running first-order theorem proving
% 0.26/0.50 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
% 0.26/0.53 % Version: 3.5.1
% 0.26/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.53 % Starting sh5l with 300s (1) cores
% 0.26/0.53 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1488971 completed with status 0
% 0.26/0.53 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.26/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.53 % No SInE strategy applied
% 0.26/0.53 % Search class: FHUNF-FFSF00-SFFFFFNN
% 0.26/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.26/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.26/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.26/0.53 % Starting new_bool_1 with 136s (1) cores
% 0.26/0.53 % SubtermCWHack with pid 1488975 completed with status 0
% 0.26/0.53 % Result found by SubtermCWHack
% 0.26/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.53 % No SInE strategy applied
% 0.26/0.53 % Search class: FHUNF-FFSF00-SFFFFFNN
% 0.26/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.53 % Preprocessing time : 0.001 s
% 0.26/0.53
% 0.26/0.53 % Proof found!
% 0.26/0.53 % SZS status Theorem
% 0.26/0.53 % SZS output start CNFRefutation
% See solution above
% 0.26/0.53 % Parsed axioms : 1
% 0.26/0.53 % Removed by relevancy pruning/SinE : 0
% 0.26/0.53 % Initial clauses : 11
% 0.26/0.53 % Removed in clause preprocessing : 0
% 0.26/0.53 % Initial clauses in saturation : 11
% 0.26/0.53 % Processed clauses : 24
% 0.26/0.53 % ...of these trivial : 0
% 0.26/0.53 % ...subsumed : 0
% 0.26/0.53 % ...remaining for further processing : 24
% 0.26/0.53 % Other redundant clauses eliminated : 0
% 0.26/0.53 % Clauses deleted for lack of memory : 0
% 0.26/0.53 % Backward-subsumed : 2
% 0.26/0.53 % Backward-rewritten : 0
% 0.26/0.53 % Generated clauses : 15
% 0.26/0.53 % ...of the previous two non-redundant : 14
% 0.26/0.53 % ...aggressively subsumed : 0
% 0.26/0.53 % Contextual simplify-reflections : 0
% 0.26/0.53 % Paramodulations : 15
% 0.26/0.53 % Factorizations : 0
% 0.26/0.53 % NegExts : 0
% 0.26/0.53 % Equation resolutions : 0
% 0.26/0.53 % Disequality decompositions : 0
% 0.26/0.53 % Total rewrite steps : 1
% 0.26/0.53 % ...of those cached : 0
% 0.26/0.53 % Propositional unsat checks : 0
% 0.26/0.53 % Propositional check models : 0
% 0.26/0.53 % Propositional check unsatisfiable : 0
% 0.26/0.53 % Propositional clauses : 0
% 0.26/0.53 % Propositional clauses after purity: 0
% 0.26/0.53 % Propositional unsat core size : 0
% 0.26/0.53 % Propositional preprocessing time : 0.000
% 0.26/0.53 % Propositional encoding time : 0.000
% 0.26/0.53 % Propositional solver time : 0.000
% 0.26/0.53 % Success case prop preproc time : 0.000
% 0.26/0.53 % Success case prop encoding time : 0.000
% 0.26/0.53 % Success case prop solver time : 0.000
% 0.26/0.53 % Current number of processed clauses : 22
% 0.26/0.53 % Positive orientable unit clauses : 6
% 0.26/0.53 % Positive unorientable unit clauses: 0
% 0.26/0.53 % Negative unit clauses : 2
% 0.26/0.53 % Non-unit-clauses : 14
% 0.26/0.53 % Current number of unprocessed clauses: 0
% 0.26/0.53 % ...number of literals in the above : 0
% 0.26/0.53 % Current number of archived formulas : 0
% 0.26/0.53 % Current number of archived clauses : 2
% 0.26/0.53 % Clause-clause subsumption calls (NU) : 28
% 0.26/0.53 % Rec. Clause-clause subsumption calls : 23
% 0.26/0.53 % Non-unit clause-clause subsumptions : 2
% 0.26/0.53 % Unit Clause-clause subsumption calls : 9
% 0.26/0.53 % Rewrite failures with RHS unbound : 0
% 0.26/0.53 % BW rewrite match attempts : 0
% 0.26/0.53 % BW rewrite match successes : 0
% 0.26/0.53 % Condensation attempts : 0
% 0.26/0.53 % Condensation successes : 0
% 0.26/0.53 % Termbank termtop insertions : 937
% 0.26/0.53 % Search garbage collected termcells : 205
% 0.26/0.53
% 0.26/0.53 % -------------------------------------------------
% 0.26/0.53 % User time : 0.004 s
% 0.26/0.53 % System time : 0.004 s
% 0.26/0.53 % Total time : 0.008 s
% 0.26/0.53 % Maximum resident set size: 3632 pages
% 0.26/0.53
% 0.26/0.53 % -------------------------------------------------
% 0.26/0.53 % User time : 0.013 s
% 0.26/0.53 % System time : 0.016 s
% 0.26/0.53 % Total time : 0.029 s
% 0.26/0.53 % Maximum resident set size: 4608 pages
% 0.26/0.53 % E exiting
%------------------------------------------------------------------------------