%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN255-1 : 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 : n005.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 09:17:04 AM UTC 2026
% Result : Unsatisfiable 76.51s 28.06s
% Output : Refutation 76.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 13 ~; 10 |; 0 &; 50 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(n2_decl,type,
n2: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(l0_decl,type,
l0: $i > $o ).
thf(345,axiom,
( ~ ( a @ l0 )
| ( a @ ( a @ ( a @ p1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
thf(1022,plain,
( ~ ( a @ l0 )
| ( a @ ( a @ ( a @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(1023,plain,
( ~ ( a @ l0 )
| ( a @ ( a @ ( a @ p1 ) ) ) ),
inference(cnf,[status(esa)],[1022]) ).
thf(339,axiom,
a @ l0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(1012,plain,
a @ l0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(1423,plain,
( ~ $true
| ( a @ ( a @ ( a @ p1 ) ) ) ),
inference(rewrite,[status(thm)],[1023,1012]) ).
thf(1424,plain,
a @ ( a @ ( a @ p1 ) ),
inference(simp,[status(thm)],[1423]) ).
thf(329,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
thf(993,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(994,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(cnf,[status(esa)],[993]) ).
thf(10967,plain,
! [C: $i,B: $i,A: $i] :
( ( ( a @ ( a @ ( a @ p1 ) ) )
!= ( A @ ( C @ ( B @ p1 ) ) ) )
| ~ $true
| ( A @ n2 ) ),
inference(paramod_ordered,[status(thm)],[1424,994]) ).
thf(10968,plain,
! [C: $i,B: $i,A: $i] :
( ( ( a @ ( a @ ( a @ p1 ) ) )
!= ( A @ ( C @ ( B @ p1 ) ) ) )
| ( A @ n2 ) ),
inference(simp,[status(thm)],[10967]) ).
thf(10969,plain,
a @ n2,
inference(pattern_uni,[status(thm)],[10968:[bind(A,$thf( a )),bind(B,$thf( a )),bind(C,$thf( a ))]]) ).
thf(1,negated_conjecture,
~ ( a @ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( a @ n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( a @ n2 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(11020,plain,
$false,
inference(rewrite,[status(thm)],[10969,371]) ).
thf(11021,plain,
$false,
inference(simp,[status(thm)],[11020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN255-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.11 % 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
% 0.22/0.47 % Computer : n005.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Sat Sep 26 17:26:31 UTC 2026
% 0.22/0.47 % CPUTime :
% 0.22/0.47 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
% 1.28/1.29 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.55/1.74 % [INFO] Parsing done (453ms).
% 2.55/1.77 % [INFO] Running in sequential loop mode.
% 3.98/2.37 % [INFO] eprover registered as external prover.
% 3.98/2.38 % [INFO] Scanning for conjecture ...
% 4.41/2.59 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 5.37/2.83 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 6.33/3.11 % [INFO] Problem is propositional (TPTP CNF).
% 6.33/3.14 % [INFO] Type checking passed.
% 6.33/3.14 % [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 ...
% 76.16/28.05 % [INFO] Killing All external provers ...
% 76.51/28.05 % Time passed: 27380ms (effective reasoning time: 26278ms)
% 76.51/28.06 % Axioms used in derivation (3): rule_088, axiom_20, rule_137
% 76.51/28.06 % No. of inferences in proof: 18
% 76.51/28.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 27380 ms resp. 26278 ms w/o parsing
% 76.51/28.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 76.51/28.08 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------