%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN297-1 : 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 155.05s 78.24s
% Output : Refutation 155.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 9 ~; 6 |; 0 &; 45 @)
% ( 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 : 6 ( 3 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(q1_decl,type,
q1: $i > $i > $i > $o ).
thf(e_decl,type,
e: $i ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(268,axiom,
e @ ( e @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(877,plain,
e @ ( e @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(282,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_100) ).
thf(904,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(905,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(cnf,[status(esa)],[904]) ).
thf(50779,plain,
! [B: $i,A: $i] :
( ( ( e @ ( e @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ~ $true
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[877,905]) ).
thf(50780,plain,
! [B: $i,A: $i] :
( ( ( e @ ( e @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(simp,[status(thm)],[50779]) ).
thf(50781,plain,
e @ ( e @ ( e @ q1 ) ),
inference(pattern_uni,[status(thm)],[50780:[bind(A,$thf( e )),bind(B,$thf( e ))]]) ).
thf(1,negated_conjecture,
~ ( e @ ( e @ ( e @ q1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( e @ ( e @ ( e @ q1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( e @ ( e @ ( e @ q1 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(50837,plain,
$false,
inference(rewrite,[status(thm)],[50781,371]) ).
thf(50838,plain,
$false,
inference(simp,[status(thm)],[50837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN297-1 : 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
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 17:31:54 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 0.87/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.84/1.31 % [INFO] Parsing done (314ms).
% 1.84/1.33 % [INFO] Running in sequential loop mode.
% 2.83/1.73 % [INFO] eprover registered as external prover.
% 2.83/1.74 % [INFO] Scanning for conjecture ...
% 3.05/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.75/2.05 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.30/2.24 % [INFO] Problem is propositional (TPTP CNF).
% 4.30/2.25 % [INFO] Type checking passed.
% 4.30/2.26 % [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 ...
% 155.05/78.23 % [INFO] Killing All external provers ...
% 155.05/78.24 % Time passed: 77680ms (effective reasoning time: 76898ms)
% 155.05/78.24 % Axioms used in derivation (2): axiom_30, rule_100
% 155.05/78.24 % No. of inferences in proof: 13
% 155.05/78.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 77680 ms resp. 76898 ms w/o parsing
% 155.05/78.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 155.05/78.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------