%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN291-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 : Sun Sep 27 09:17:08 AM UTC 2026
% Result : Unsatisfiable 76.72s 27.60s
% Output : Refutation 77.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 11 ~; 8 |; 0 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(q1_decl,type,
q1: $i > $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(e_decl,type,
e: $i ).
thf(s0_decl,type,
s0: $i > $o ).
thf(k0_decl,type,
k0: $i > $o ).
thf(320,axiom,
( ~ ( d @ s0 )
| ~ ( e @ k0 )
| ( d @ ( d @ ( d @ q1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_117) ).
thf(972,plain,
( ~ ( d @ s0 )
| ~ ( e @ k0 )
| ( d @ ( d @ ( d @ q1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(973,plain,
( ~ ( d @ s0 )
| ~ ( e @ k0 )
| ( d @ ( d @ ( d @ q1 ) ) ) ),
inference(cnf,[status(esa)],[972]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( d @ q1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(368,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( d @ q1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(369,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( d @ q1 ) ) ),
inference(polarity_switch,[status(thm)],[368]) ).
thf(111,axiom,
e @ k0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(578,plain,
e @ k0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(327,axiom,
d @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(984,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(14901,plain,
( ~ $true
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[973,369,578,984]) ).
thf(14902,plain,
$false,
inference(simp,[status(thm)],[14901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN291-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.81 % Computer : n008.cluster.edu
% 0.13/0.81 % Model : x86_64 x86_64
% 0.13/0.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.81 % Memory : 8046.5625MB
% 0.13/0.81 % OS : Linux 6.8.0-71-generic
% 0.13/0.81 % CPULimit : 300
% 0.13/0.81 % WCLimit : 300
% 0.13/0.81 % DateTime : Sat Sep 26 17:31:11 UTC 2026
% 0.13/0.81 % CPUTime :
% 0.13/0.81 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.73/1.15 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.64/1.40 % [INFO] Parsing done (244ms).
% 1.64/1.42 % [INFO] Running in sequential loop mode.
% 2.64/1.82 % [INFO] eprover registered as external prover.
% 2.64/1.83 % [INFO] Scanning for conjecture ...
% 2.86/1.97 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.24/2.14 % [INFO] Axiom selection finished. Selected 366 axioms (removed 2 axioms).
% 4.15/2.34 % [INFO] Problem is propositional (TPTP CNF).
% 4.15/2.36 % [INFO] Type checking passed.
% 4.15/2.36 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 76.72/27.59 % [INFO] Killing All external provers ...
% 76.72/27.59 % Time passed: 26685ms (effective reasoning time: 26162ms)
% 76.72/27.59 % Axioms used in derivation (3): rule_117, axiom_28, axiom_1
% 76.72/27.59 % No. of inferences in proof: 12
% 76.72/27.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 26685 ms resp. 26162 ms w/o parsing
% 77.05/27.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 77.05/27.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------