%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN057+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 : n009.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 09:16:39 AM UTC 2026
% Result : Theorem 2.44s 1.42s
% Output : Refutation 2.44s
% 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 : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 11 ~; 0 |; 6 &; 28 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 ^; 9 !; 4 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_j_decl,type,
big_j: $i > $o ).
thf(big_i_decl,type,
big_i: $i > $o ).
thf(big_f_decl,type,
big_f: $i > $o ).
thf(big_g_decl,type,
big_g: $i > $o ).
thf(big_h_decl,type,
big_h: $i > $o ).
thf(5,axiom,
! [A: $i] :
( ( ( A @ big_i )
& ( A @ big_j ) )
=> ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_3) ).
thf(17,plain,
! [A: $i] :
( ( ( A @ big_i )
& ( A @ big_j ) )
=> ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
! [A: $i] :
( ( A @ big_j )
=> ~ ( A @ big_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ big_j )
=> ~ ( A @ big_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [A: $i] :
( ( A @ big_j )
=> ~ ( A @ big_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i] :
( ~ ( A @ big_g )
& ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_1) ).
thf(11,plain,
? [A: $i] :
( ~ ( A @ big_g )
& ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
( ? [A: $i] :
( ~ ( A @ big_g )
& ( A @ big_h ) )
=> ! [A: $i] :
( ( A @ big_i )
=> ~ ( A @ big_h ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_4) ).
thf(19,plain,
( ? [A: $i] :
( ~ ( A @ big_g )
& ( A @ big_h ) )
=> ! [A: $i] :
( ( A @ big_i )
=> ~ ( A @ big_h ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ big_f )
=> ( A @ big_h ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_2) ).
thf(15,plain,
! [A: $i] :
( ( A @ big_f )
=> ( A @ big_h ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(21,plain,
$false,
inference(e,[status(thm)],[17,7,11,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN057+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % 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
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 17:08:00 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 0.59/0.69 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.78 % [INFO] Parsing done (87ms).
% 0.72/0.79 % [INFO] Running in sequential loop mode.
% 1.13/0.97 % [INFO] eprover registered as external prover.
% 1.13/0.97 % [INFO] Scanning for conjecture ...
% 1.13/1.01 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.42/1.03 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.42/1.03 % [INFO] Problem is first-order (TPTP FOF).
% 1.42/1.04 % [INFO] Type checking passed.
% 1.42/1.04 % [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 ...
% 2.44/1.41 % External prover 'e' found a proof!
% 2.44/1.42 % [INFO] Killing All external provers ...
% 2.44/1.42 % Time passed: 932ms (effective reasoning time: 626ms)
% 2.44/1.42 % 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)>
% 2.44/1.42 % Axioms used in derivation (4): pel27_3, pel27_1, pel27_4, pel27_2
% 2.44/1.42 % No. of inferences in proof: 12
% 2.44/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 932 ms resp. 626 ms w/o parsing
% 2.44/1.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.44/1.46 % [INFO] Killing All external provers ...
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