%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN976+1 : TPTP v9.3.1. Released v3.1.0.
% 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 09:20:32 AM UTC 2026
% Result : Theorem 2.23s 1.37s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 1 def)
% Number of atoms : 32 ( 1 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 7 ~; 5 |; 11 &; 19 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 13 !; 0 ?; 14 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $o ).
thf(g_decl,type,
g: $o ).
thf(p_decl,type,
p: $i > $o ).
thf(q_decl,type,
q: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( A @ q ) ) ) ).
thf(1,conjecture,
! [A: $i] :
( ( ! [B: $i] :
( ( B @ q )
& ( B @ p ) )
& ( g
| f ) )
=> ( A @ q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ! [B: $i] :
( ( B @ q )
& ( B @ p ) )
& ( g
| f ) )
=> ( A @ q ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i] :
( ( ! [B: $i] :
( ( B @ q )
& ( B @ p ) )
& ( g
| f ) )
=> ( A @ q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ! [A: $i] : ( A @ q )
& ! [A: $i] : ( A @ p )
& ( g
| f ) )
=> ! [A: $i] : ( A @ q ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [B: $i,A: $i] :
( ~ ( sk1 @ q )
& ( B @ q )
& ( A @ p )
& ( g
| f ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
~ ( sk1 @ q ),
inference(cnfConj,[status(thm)],[5]) ).
thf(8,plain,
! [A: $i] : ( A @ q ),
inference(cnfConj,[status(thm)],[5]) ).
thf(10,plain,
! [A: $i] : ( A @ q ),
inference(simp,[status(thm)],[8]) ).
thf(11,plain,
~ $true,
inference(rewrite,[status(thm)],[9,10]) ).
thf(12,plain,
$false,
inference(simp,[status(thm)],[11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN976+1 : TPTP v9.3.1. Released v3.1.0.
% 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
% 0.15/0.41 % Computer : n008.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 18:53:39 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.71/0.73 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.97/0.82 % [INFO] Parsing done (84ms).
% 0.97/0.83 % [INFO] Running in sequential loop mode.
% 1.15/1.02 % [INFO] eprover registered as external prover.
% 1.15/1.02 % [INFO] Scanning for conjecture ...
% 1.44/1.06 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.44/1.08 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.44/1.09 % [INFO] Problem is first-order (TPTP FOF).
% 1.44/1.09 % [INFO] Type checking passed.
% 1.44/1.09 % [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 ...
% 2.23/1.37 % [INFO] Killing All external provers ...
% 2.23/1.37 % Time passed: 855ms (effective reasoning time: 540ms)
% 2.23/1.37 % 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)>
% 2.23/1.37 % Axioms used in derivation (0):
% 2.23/1.37 % No. of inferences in proof: 10
% 2.23/1.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 855 ms resp. 540 ms w/o parsing
% 2.62/1.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.62/1.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------