%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN054+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 09:16:38 AM UTC 2026
% Result : Theorem 2.88s 2.16s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 47 ( 6 ~; 4 |; 5 &; 26 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 ^; 4 !; 9 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_decl,type,
big_p: $i > $o ).
thf(big_r_decl,type,
big_r: $i > $o ).
thf(big_s_decl,type,
big_s: $i > $o ).
thf(big_q_decl,type,
big_q: $i > $o ).
thf(5,axiom,
( ~ ? [A: $i] : ( A @ big_p )
=> ? [A: $i] : ( A @ big_q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_3) ).
thf(14,plain,
( ~ ? [A: $i] : ( A @ big_p )
=> ? [A: $i] : ( A @ big_q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
~ ? [A: $i] :
( ( A @ big_q )
& ( A @ big_s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_1) ).
thf(9,plain,
~ ? [A: $i] :
( ( A @ big_q )
& ( A @ big_s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ big_p )
=> ( ( A @ big_r )
| ( A @ big_q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_2) ).
thf(12,plain,
! [A: $i] :
( ( A @ big_p )
=> ( ( A @ big_r )
| ( A @ big_q ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
? [A: $i] :
( ( A @ big_r )
& ( A @ big_p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( A @ big_r )
& ( A @ big_p ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ? [A: $i] :
( ( A @ big_r )
& ( A @ big_p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [A: $i] :
( ( ( A @ big_r )
| ( A @ big_q ) )
=> ( A @ big_s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_4) ).
thf(16,plain,
! [A: $i] :
( ( ( A @ big_r )
| ( A @ big_q ) )
=> ( A @ big_s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[14,9,12,7,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 17:06:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 0.82/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.13 % [INFO] Parsing done (169ms).
% 1.20/1.15 % [INFO] Running in sequential loop mode.
% 1.71/1.54 % [INFO] eprover registered as external prover.
% 1.71/1.55 % [INFO] Scanning for conjecture ...
% 1.89/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.89/1.66 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.89/1.67 % [INFO] Problem is first-order (TPTP FOF).
% 1.89/1.68 % [INFO] Type checking passed.
% 1.89/1.69 % [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 ...
% 2.88/2.16 % External prover 'e' found a proof!
% 2.88/2.16 % [INFO] Killing All external provers ...
% 2.88/2.16 % Time passed: 1643ms (effective reasoning time: 1009ms)
% 2.88/2.16 % 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)>
% 2.88/2.16 % Axioms used in derivation (4): pel24_3, pel24_1, pel24_2, pel24_4
% 2.88/2.16 % No. of inferences in proof: 12
% 2.88/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1643 ms resp. 1009 ms w/o parsing
% 3.12/2.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.12/2.20 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------