%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n016.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 08:48:19 AM UTC 2026
% Result : Theorem 10.86s 4.11s
% Output : Refutation 10.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 44 ( 13 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 63 ( 10 ~; 1 |; 4 &; 29 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 7 !; 0 ?; 9 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(cProp___24t_decl,type,
cProp___24t: $i > $o ).
thf(p_decl,type,
p: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ( A @ cProp___24t )
=> ! [B: $i] :
( ( B @ cProp___24t )
=> ( ( A = B )
=> ( ( A @ p )
=> ( B @ p ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ( ( A @ cProp___24t )
=> ( ( sk1 = A )
=> ( ( sk1 @ p )
=> ( A @ p ) ) ) ) ) ) ).
thf(1,conjecture,
! [A: $i] :
( ( A @ cProp___24t )
=> ! [B: $i] :
( ( B @ cProp___24t )
=> ( ( A = B )
=> ( ( A @ p )
=> ( B @ p ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ cProp___24t )
=> ! [B: $i] :
( ( B @ cProp___24t )
=> ( ( A = B )
=> ( ( A @ p )
=> ( B @ p ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(92,plain,
~ ! [A: $i] :
( ( A @ cProp___24t )
=> ! [B: $i] :
( ( B @ cProp___24t )
=> ( ( A = B )
=> ( ( A @ p )
=> ( B @ p ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(93,plain,
( ~ ( sk2 @ p )
& ( sk1 @ p )
& ( sk1 = sk2 )
& ( sk2 @ cProp___24t )
& ( sk1 @ cProp___24t ) ),
inference(cnf,[status(esa)],[92]) ).
thf(96,plain,
sk1 = sk2,
inference(cnfConj,[status(thm)],[93]) ).
thf(99,plain,
sk2 = sk1,
inference(lifteq,[status(thm)],[96]) ).
thf(94,plain,
sk1 @ p,
inference(cnfConj,[status(thm)],[93]) ).
thf(95,plain,
~ ( sk2 @ p ),
inference(cnfConj,[status(thm)],[93]) ).
thf(522,plain,
( ( ( sk2 @ p )
!= ( sk1 @ p ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[94,95]) ).
thf(523,plain,
( ( sk2 @ p )
!= ( sk1 @ p ) ),
inference(simp,[status(thm)],[522]) ).
thf(524,plain,
sk2 != sk1,
inference(simp,[status(thm)],[523]) ).
thf(528,plain,
$false,
inference(simplifyReflect,[status(thm)],[99,524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.14/0.40 % Computer : n016.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 11:38:30 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.87/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.29/1.62 % [INFO] Parsing done (644ms).
% 3.29/1.64 % [INFO] Running in sequential loop mode.
% 3.82/2.01 % [INFO] eprover registered as external prover.
% 3.82/2.01 % [INFO] Scanning for conjecture ...
% 4.98/2.31 % [INFO] Found a conjecture (or negated_conjecture) and 2538 axioms. Running axiom selection ...
% 5.90/2.55 % [INFO] Axiom selection finished. Selected 89 axioms (removed 2449 axioms).
% 6.31/2.68 % [INFO] Problem is first-order (TPTP FOF).
% 6.55/2.70 % [INFO] Type checking passed.
% 6.55/2.70 % [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 ...
% 10.86/4.11 % [INFO] Killing All external provers ...
% 10.86/4.11 % Time passed: 3572ms (effective reasoning time: 2465ms)
% 10.86/4.11 % Solved by 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)>
% 10.86/4.11 % Axioms used in derivation (0):
% 10.86/4.11 % No. of inferences in proof: 12
% 10.86/4.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3572 ms resp. 2465 ms w/o parsing
% 10.86/4.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.86/4.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------