%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN074+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 : 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 09:16:44 AM UTC 2026
% Result : Theorem 5.44s 3.48s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 16 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 40 ( 2 ~; 0 |; 7 &; 18 @)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 11 !; 11 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $i > $o ).
thf(1,conjecture,
? [A: $i] :
! [B: $i] :
( ? [C: $i] :
! [D: $i] :
( ( D @ ( B @ big_f ) )
<=> ( D = C ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel51) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i] :
( ? [C: $i] :
! [D: $i] :
( ( D @ ( B @ big_f ) )
<=> ( D = C ) )
<=> ( B = A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: $i] :
! [B: $i] :
( ( ( B = A )
=> ? [C: $i] :
! [D: $i] :
( ( ( D = C )
=> ( D @ ( B @ big_f ) ) )
& ( ( D @ ( B @ big_f ) )
=> ( D = C ) ) ) )
& ( ? [C: $i] :
! [D: $i] :
( ( ( D = C )
=> ( D @ ( B @ big_f ) ) )
& ( ( D @ ( B @ big_f ) )
=> ( D = C ) ) )
=> ( B = A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i,B: $i] :
! [C: $i,D: $i] :
( ( D @ ( C @ big_f ) )
<=> ( ( D = B )
& ( C = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel51_1) ).
thf(27,plain,
? [A: $i,B: $i] :
! [C: $i,D: $i] :
( ( ( ( D = B )
& ( C = A ) )
=> ( D @ ( C @ big_f ) ) )
& ( ( D @ ( C @ big_f ) )
=> ( ( D = B )
& ( C = A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(54,plain,
$false,
inference(e,[status(thm)],[4,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN074+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.13 % 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
% 0.24/0.51 % Computer : n005.cluster.edu
% 0.24/0.51 % Model : x86_64 x86_64
% 0.24/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.51 % Memory : 8046.5625MB
% 0.24/0.51 % OS : Linux 6.8.0-71-generic
% 0.24/0.51 % CPULimit : 300
% 0.24/0.51 % WCLimit : 300
% 0.24/0.51 % DateTime : Sat Sep 26 17:09:32 UTC 2026
% 0.24/0.51 % CPUTime :
% 0.24/0.51 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
% 1.42/1.35 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.95/1.60 % [INFO] Parsing done (249ms).
% 1.95/1.63 % [INFO] Running in sequential loop mode.
% 2.86/2.27 % [INFO] eprover registered as external prover.
% 2.86/2.28 % [INFO] Scanning for conjecture ...
% 3.24/2.40 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 3.24/2.46 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 3.24/2.46 % [INFO] Problem is first-order (TPTP FOF).
% 3.24/2.47 % [INFO] Type checking passed.
% 3.24/2.48 % [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 ...
% 5.44/3.47 % External prover 'e' found a proof!
% 5.44/3.47 % [INFO] Killing All external provers ...
% 5.44/3.47 % Time passed: 2753ms (effective reasoning time: 1835ms)
% 5.44/3.47 % 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)>
% 5.44/3.47 % Axioms used in derivation (1): pel51_1
% 5.44/3.47 % No. of inferences in proof: 6
% 5.44/3.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2753 ms resp. 1835 ms w/o parsing
% 5.70/3.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.70/3.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------