%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ032-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 02:01:38 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 12 unt; 4 nHn; 22 RR)
% Number of literals : 38 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(liars_are_told_by_liars,axiom,
( ~ a_truth(says(X2,X1))
| a_truth(liar(X2))
| a_truth(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',liars_are_told_by_liars) ).
cnf(truths_are_told_by_truthtellers,axiom,
( ~ a_truth(says(X2,X1))
| ~ a_truth(X1)
| a_truth(truthteller(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truths_are_told_by_truthtellers) ).
cnf(prove_c_is_a_truthteller,negated_conjecture,
~ a_truth(truthteller(c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_a_truthteller) ).
cnf(b_says_a_says_hes_a_liar,hypothesis,
a_truth(says(b,says(a,liar(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_says_hes_a_liar) ).
cnf(c_says_b_is_a_liar,hypothesis,
a_truth(says(c,liar(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_b_is_a_liar) ).
cnf(not_both,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(truthteller(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',not_both) ).
cnf(c_0_6,plain,
( ~ a_truth(says(X2,X1))
| a_truth(liar(X2))
| a_truth(X1) ),
inference(fof_simplification,[status(thm)],[liars_are_told_by_liars]) ).
cnf(c_0_7,plain,
( ~ a_truth(says(X2,X1))
| ~ a_truth(X1)
| a_truth(truthteller(X2)) ),
inference(fof_simplification,[status(thm)],[truths_are_told_by_truthtellers]) ).
cnf(c_0_8,negated_conjecture,
~ a_truth(truthteller(c)),
inference(fof_simplification,[status(thm)],[prove_c_is_a_truthteller]) ).
cnf(c_0_9,plain,
( ~ a_truth(says(X2,X1))
| a_truth(liar(X2))
| a_truth(X1) ),
c_0_6 ).
cnf(c_0_10,hypothesis,
a_truth(says(b,says(a,liar(a)))),
b_says_a_says_hes_a_liar ).
cnf(c_0_11,plain,
( ~ a_truth(says(X2,X1))
| ~ a_truth(X1)
| a_truth(truthteller(X2)) ),
c_0_7 ).
cnf(c_0_12,hypothesis,
a_truth(says(c,liar(b))),
c_says_b_is_a_liar ).
cnf(c_0_13,negated_conjecture,
~ a_truth(truthteller(c)),
c_0_8 ).
cnf(c_0_14,hypothesis,
( a_truth(liar(b))
| a_truth(says(a,liar(a))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,hypothesis,
~ a_truth(liar(b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,hypothesis,
a_truth(says(a,liar(a))),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(truthteller(X1)) ),
inference(fof_simplification,[status(thm)],[not_both]) ).
cnf(c_0_18,hypothesis,
a_truth(liar(a)),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_19,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(truthteller(X1)) ),
c_0_17 ).
cnf(c_0_20,hypothesis,
a_truth(truthteller(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_16]),c_0_18])]) ).
cnf(c_0_21,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:46:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42 % Version: 3.5.1
% 0.14/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.42 % Starting sh5l with 300s (1) cores
% 0.14/0.42 % new_bool_3 with pid 903452 completed with status 0
% 0.14/0.42 % Result found by new_bool_3
% 0.14/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.42 % Search class: FGHNF-FFSS21-MFFFFFNN
% 0.14/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.42 % SubtermCWHack with pid 903457 completed with status 0
% 0.14/0.42 % Result found by SubtermCWHack
% 0.14/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.42 % Search class: FGHNF-FFSS21-MFFFFFNN
% 0.14/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.42 % Preprocessing time : 0.001 s
% 0.14/0.42
% 0.14/0.42 % Proof found!
% 0.14/0.42 % SZS status Unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation
% See solution above
% 0.14/0.42 % Parsed axioms : 10
% 0.14/0.42 % Removed by relevancy pruning/SinE : 0
% 0.14/0.42 % Initial clauses : 10
% 0.14/0.42 % Removed in clause preprocessing : 0
% 0.14/0.42 % Initial clauses in saturation : 10
% 0.14/0.42 % Processed clauses : 17
% 0.14/0.42 % ...of these trivial : 0
% 0.14/0.42 % ...subsumed : 0
% 0.14/0.42 % ...remaining for further processing : 17
% 0.14/0.42 % Other redundant clauses eliminated : 0
% 0.14/0.42 % Clauses deleted for lack of memory : 0
% 0.14/0.42 % Backward-subsumed : 2
% 0.14/0.42 % Backward-rewritten : 0
% 0.14/0.42 % Generated clauses : 15
% 0.14/0.42 % ...of the previous two non-redundant : 12
% 0.14/0.42 % ...aggressively subsumed : 0
% 0.14/0.42 % Contextual simplify-reflections : 0
% 0.14/0.42 % Paramodulations : 14
% 0.14/0.42 % Factorizations : 0
% 0.14/0.42 % NegExts : 0
% 0.14/0.42 % Equation resolutions : 0
% 0.14/0.42 % Disequality decompositions : 0
% 0.14/0.42 % Total rewrite steps : 4
% 0.14/0.42 % ...of those cached : 2
% 0.14/0.42 % Propositional unsat checks : 0
% 0.14/0.42 % Propositional check models : 0
% 0.14/0.42 % Propositional check unsatisfiable : 0
% 0.14/0.42 % Propositional clauses : 0
% 0.14/0.42 % Propositional clauses after purity: 0
% 0.14/0.42 % Propositional unsat core size : 0
% 0.14/0.42 % Propositional preprocessing time : 0.000
% 0.14/0.42 % Propositional encoding time : 0.000
% 0.14/0.42 % Propositional solver time : 0.000
% 0.14/0.42 % Success case prop preproc time : 0.000
% 0.14/0.42 % Success case prop encoding time : 0.000
% 0.14/0.42 % Success case prop solver time : 0.000
% 0.14/0.42 % Current number of processed clauses : 14
% 0.14/0.42 % Positive orientable unit clauses : 7
% 0.14/0.42 % Positive unorientable unit clauses: 0
% 0.14/0.42 % Negative unit clauses : 3
% 0.14/0.42 % Non-unit-clauses : 4
% 0.14/0.42 % Current number of unprocessed clauses: 4
% 0.14/0.42 % ...number of literals in the above : 11
% 0.14/0.42 % Current number of archived formulas : 0
% 0.14/0.42 % Current number of archived clauses : 3
% 0.14/0.42 % Clause-clause subsumption calls (NU) : 0
% 0.14/0.42 % Rec. Clause-clause subsumption calls : 0
% 0.14/0.42 % Non-unit clause-clause subsumptions : 0
% 0.14/0.42 % Unit Clause-clause subsumption calls : 8
% 0.14/0.42 % Rewrite failures with RHS unbound : 0
% 0.14/0.42 % BW rewrite match attempts : 1
% 0.14/0.42 % BW rewrite match successes : 1
% 0.14/0.42 % Condensation attempts : 0
% 0.14/0.42 % Condensation successes : 0
% 0.14/0.42 % Termbank termtop insertions : 406
% 0.14/0.42 % Search garbage collected termcells : 18
% 0.14/0.42
% 0.14/0.42 % -------------------------------------------------
% 0.14/0.42 % User time : 0.004 s
% 0.14/0.42 % System time : 0.001 s
% 0.14/0.42 % Total time : 0.005 s
% 0.14/0.42 % Maximum resident set size: 3640 pages
% 0.14/0.42
% 0.14/0.42 % -------------------------------------------------
% 0.14/0.42 % User time : 0.005 s
% 0.14/0.42 % System time : 0.006 s
% 0.14/0.42 % Total time : 0.011 s
% 0.14/0.42 % Maximum resident set size: 4608 pages
% 0.14/0.42 % E exiting
%------------------------------------------------------------------------------