%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN112-1 : 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 : n003.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 09:16:50 AM UTC 2026
% Result : Unsatisfiable 77.22s 32.47s
% Output : Refutation 77.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 18 ~; 10 |; 0 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(k2_decl,type,
k2: $i > $i > $o ).
thf(e_decl,type,
e: $i ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(l1_decl,type,
l1: $i > $i > $o ).
thf(291,axiom,
e @ ( e @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(923,plain,
e @ ( e @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(56,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ l1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
thf(474,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ l1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(475,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ l1 ) ) ),
inference(cnf,[status(esa)],[474]) ).
thf(360,axiom,
( ~ ( e @ ( e @ l1 ) )
| ( e @ ( e @ k2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_130) ).
thf(1052,plain,
( ~ ( e @ ( e @ l1 ) )
| ( e @ ( e @ k2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(1053,plain,
( ~ ( e @ ( e @ l1 ) )
| ( e @ ( e @ k2 ) ) ),
inference(cnf,[status(esa)],[1052]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ ( e @ k2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [A: $i] :
~ ( A @ ( e @ k2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [A: $i] :
~ ( A @ ( e @ k2 ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(1373,plain,
( ~ ( e @ ( e @ l1 ) )
| $false ),
inference(rewrite,[status(thm)],[1053,371]) ).
thf(1374,plain,
~ ( e @ ( e @ l1 ) ),
inference(simp,[status(thm)],[1373]) ).
thf(11465,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ l1 ) )
!= ( e @ ( e @ l1 ) ) )
| ~ $true
| ~ ( A @ ( B @ n0 ) ) ),
inference(paramod_ordered,[status(thm)],[475,1374]) ).
thf(11466,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ l1 ) )
!= ( e @ ( e @ l1 ) ) )
| ~ ( A @ ( B @ n0 ) ) ),
inference(simp,[status(thm)],[11465]) ).
thf(11467,plain,
! [A: $i] :
~ ( e @ ( A @ n0 ) ),
inference(pattern_uni,[status(thm)],[11466:[bind(A,$thf( e ))]]) ).
thf(11542,plain,
! [A: $i] :
~ ( e @ ( A @ n0 ) ),
inference(simp,[status(thm)],[11467]) ).
thf(11663,plain,
$false,
inference(rewrite,[status(thm)],[923,11542]) ).
thf(11664,plain,
$false,
inference(simp,[status(thm)],[11663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN112-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % 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
% 0.14/0.41 % Computer : n003.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 17:13:41 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.86/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.92/1.31 % [INFO] Parsing done (318ms).
% 1.92/1.32 % [INFO] Running in sequential loop mode.
% 2.87/1.70 % [INFO] eprover registered as external prover.
% 2.87/1.71 % [INFO] Scanning for conjecture ...
% 3.07/1.85 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.26/2.01 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.23/2.20 % [INFO] Problem is propositional (TPTP CNF).
% 4.23/2.21 % [INFO] Type checking passed.
% 4.23/2.22 % [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 ...
% 77.22/32.47 % [INFO] Killing All external provers ...
% 77.22/32.47 % Time passed: 31908ms (effective reasoning time: 31137ms)
% 77.22/32.47 % Axioms used in derivation (3): axiom_30, rule_002, rule_130
% 77.22/32.47 % No. of inferences in proof: 19
% 77.22/32.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 31908 ms resp. 31137 ms w/o parsing
% 77.57/32.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 77.57/32.50 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------