%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN070+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n003.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 09:16:43 AM UTC 2026
% Result : Theorem 3.49s 2.30s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 85 ( 10 ~; 0 |; 16 &; 46 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 13 !; 4 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
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 > $i > $o ).
thf(big_j_decl,type,
big_j: $i > $i > $o ).
thf(1,conjecture,
! [A: $i] :
( ( A @ big_f )
=> ( A @ big_g ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ big_f )
=> ( A @ big_g ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: $i] :
( ( A @ big_f )
=> ( A @ big_g ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( ( ( A @ ( B @ big_h ) )
& ( B @ big_f ) )
=> ( B @ big_g ) )
& ( A @ big_f ) )
=> ( A @ big_g ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_1) ).
thf(10,plain,
! [A: $i,B: $i] :
( ( ( ( ( A @ ( B @ big_h ) )
& ( B @ big_f ) )
=> ( B @ big_g ) )
& ( A @ big_f ) )
=> ( A @ big_g ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
( ? [A: $i] :
( ~ ( A @ big_g )
& ( A @ big_f ) )
=> ? [A: $i] :
( ! [B: $i] :
( ( ~ ( B @ big_g )
& ( B @ big_f ) )
=> ( B @ ( A @ big_j ) ) )
& ~ ( A @ big_g )
& ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_2) ).
thf(18,plain,
( ? [A: $i] :
( ~ ( A @ big_g )
& ( A @ big_f ) )
=> ? [A: $i] :
( ! [B: $i] :
( ( ~ ( B @ big_g )
& ( B @ big_f ) )
=> ( B @ ( A @ big_j ) ) )
& ~ ( A @ big_g )
& ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ big_h ) )
& ( B @ big_f )
& ( A @ big_f ) )
=> ~ ( A @ ( B @ big_j ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_3) ).
thf(23,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ big_h ) )
& ( B @ big_f )
& ( A @ big_f ) )
=> ~ ( A @ ( B @ big_j ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[6,10,18,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN070+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.14/0.40 % Computer : n003.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 17:10:56 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.85/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/1.18 % [INFO] Parsing done (184ms).
% 1.33/1.20 % [INFO] Running in sequential loop mode.
% 1.95/1.61 % [INFO] eprover registered as external prover.
% 1.95/1.62 % [INFO] Scanning for conjecture ...
% 2.13/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.13/1.74 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.13/1.76 % [INFO] Problem is first-order (TPTP FOF).
% 2.13/1.76 % [INFO] Type checking passed.
% 2.13/1.77 % [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 ...
% 3.21/2.29 % External prover 'e' found a proof!
% 3.21/2.30 % [INFO] Killing All external provers ...
% 3.49/2.30 % Time passed: 1746ms (effective reasoning time: 1091ms)
% 3.49/2.30 % 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)>
% 3.49/2.30 % Axioms used in derivation (3): pel46_1, pel46_2, pel46_3
% 3.49/2.30 % No. of inferences in proof: 10
% 3.49/2.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1746 ms resp. 1091 ms w/o parsing
% 3.49/2.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.49/2.34 % [INFO] Killing All external provers ...
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