%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN080+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n002.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 09:16:45 AM UTC 2026
% Result : Theorem 4.01s 2.43s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 2 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 45 ( 7 ~; 0 |; 0 &; 38 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 15 !; 0 ?; 17 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $i > $i ).
thf(g_decl,type,
g: $i > $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i] :
( ( A @ f @ f )
= ( B @ g @ f ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
( ( sk1 @ f @ f )
!= ( A @ g @ f ) ) ) ) ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( A @ f @ f )
= ( B @ g @ f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel58) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( A @ f @ f )
= ( B @ g @ f ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i,B: $i] :
( ( A @ f @ f )
= ( B @ g @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( sk1 @ f @ f )
!= ( sk2 @ g @ f ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
( ( sk2 @ g @ f )
!= ( sk1 @ f @ f ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(10,plain,
( ( sk2 @ g )
!= ( sk1 @ f ) ),
inference(simp,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( A @ f )
= ( B @ g ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel58_1) ).
thf(7,plain,
! [A: $i,B: $i] :
( ( A @ f )
= ( B @ g ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( A @ f )
= ( B @ g ) ),
inference(cnf,[status(esa)],[7]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( A @ f )
= ( B @ g ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(11,plain,
$false,
inference(simplifyReflect,[status(thm)],[10,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN080+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.20/0.46 % Computer : n002.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sat Sep 26 17:12:50 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 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
% 0.98/1.05 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.49/1.28 % [INFO] Parsing done (225ms).
% 1.70/1.30 % [INFO] Running in sequential loop mode.
% 2.48/1.81 % [INFO] eprover registered as external prover.
% 2.48/1.82 % [INFO] Scanning for conjecture ...
% 2.68/1.94 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.68/1.97 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.68/1.97 % [INFO] Problem is first-order (TPTP FOF).
% 2.68/1.98 % [INFO] Type checking passed.
% 2.68/1.98 % [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 ...
% 4.01/2.43 % [INFO] Killing All external provers ...
% 4.01/2.43 % Time passed: 1822ms (effective reasoning time: 1125ms)
% 4.01/2.43 % 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)>
% 4.01/2.43 % Axioms used in derivation (1): pel58_1
% 4.01/2.43 % No. of inferences in proof: 11
% 4.01/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1822 ms resp. 1125 ms w/o parsing
% 4.01/2.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.01/2.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------