%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n019.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 09:16:42 AM UTC 2026
% Result : Theorem 4.66s 8.13s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 58 ( 4 ~; 0 |; 4 &; 42 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 13 !; 15 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_r_decl,type,
big_r: $i > $i > $o ).
thf(big_p_decl,type,
big_p: $i > $i > $o ).
thf(big_q_decl,type,
big_q: $i > $i > $o ).
thf(1,conjecture,
! [A: $i] :
? [B: $i] : ( B @ ( A @ big_r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
? [B: $i] : ( B @ ( A @ big_r ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: $i] :
? [B: $i] : ( B @ ( A @ big_r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
? [B: $i] :
! [C: $i] :
? [D: $i] :
( ( ( B @ ( D @ big_p ) )
=> ? [E: $i] : ( B @ ( E @ big_q ) ) )
& ( A @ ( D @ big_p ) )
& ( ( A @ ( C @ big_p ) )
=> ( B @ ( D @ big_p ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_1) ).
thf(8,plain,
! [A: $i] :
? [B: $i] :
! [C: $i] :
? [D: $i] :
( ( ( B @ ( D @ big_p ) )
=> ? [E: $i] : ( B @ ( E @ big_q ) ) )
& ( A @ ( D @ big_p ) )
& ( ( A @ ( C @ big_p ) )
=> ( B @ ( D @ big_p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( B @ ( A @ big_p ) )
=> ? [C: $i] : ( B @ ( C @ big_q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_2) ).
thf(13,plain,
! [A: $i,B: $i] :
( ~ ( B @ ( A @ big_p ) )
=> ? [C: $i] : ( B @ ( C @ big_q ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( ? [A: $i,B: $i] : ( B @ ( A @ big_q ) )
=> ! [A: $i] : ( A @ ( A @ big_r ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_3) ).
thf(15,plain,
( ? [A: $i,B: $i] : ( B @ ( A @ big_q ) )
=> ! [A: $i] : ( A @ ( A @ big_r ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[6,8,13,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.12/5.39 % Computer : n019.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 26 17:08:55 UTC 2026
% 0.16/5.40 % CPUTime :
% 0.16/5.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.33/6.20 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.81/6.48 % [INFO] Parsing done (269ms).
% 1.90/6.50 % [INFO] Running in sequential loop mode.
% 2.70/7.12 % [INFO] eprover registered as external prover.
% 2.70/7.14 % [INFO] Scanning for conjecture ...
% 3.00/7.26 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 3.14/7.31 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 3.14/7.33 % [INFO] Problem is first-order (TPTP FOF).
% 3.14/7.33 % [INFO] Type checking passed.
% 3.14/7.34 % [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 ...
% 4.66/8.12 % External prover 'e' found a proof!
% 4.66/8.12 % [INFO] Killing All external provers ...
% 4.66/8.13 % Time passed: 2514ms (effective reasoning time: 1616ms)
% 4.66/8.13 % 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)>
% 4.66/8.13 % Axioms used in derivation (3): pel37_1, pel37_2, pel37_3
% 4.66/8.13 % No. of inferences in proof: 10
% 4.66/8.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2514 ms resp. 1616 ms w/o parsing
% 4.92/8.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.92/8.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------