%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN072+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 : n017.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 2.91s 2.58s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 2 |; 0 &; 7 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 5 !; 4 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_decl,type,
big_p: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(6,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_4) ).
thf(14,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
? [A: $i,B: $i] :
! [C: $i] :
( ( C = B )
| ( C = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_1) ).
thf(9,plain,
? [A: $i,B: $i] :
! [C: $i] :
( ( C = B )
| ( C = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
b @ big_p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_3) ).
thf(13,plain,
b @ big_p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
a @ big_p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_2) ).
thf(12,plain,
a @ big_p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
! [A: $i] : ( A @ big_p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49) ).
thf(2,negated_conjecture,
~ ! [A: $i] : ( A @ big_p ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [A: $i] : ( A @ big_p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[14,9,13,12,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN072+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.09 % 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
% 0.15/0.40 % Computer : n017.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 17:04:48 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
% 0.74/1.04 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.10/1.26 % [INFO] Parsing done (220ms).
% 1.10/1.29 % [INFO] Running in sequential loop mode.
% 1.74/1.73 % [INFO] eprover registered as external prover.
% 1.74/1.74 % [INFO] Scanning for conjecture ...
% 1.88/1.84 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.88/1.88 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.01/1.90 % [INFO] Problem is first-order (TPTP FOF).
% 2.01/1.91 % [INFO] Type checking passed.
% 2.01/1.92 % [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 ...
% 2.21/2.10 % [INFO] [Domain constraints] Detected constraint on $i
% 2.21/2.11 % [INFO] [Domain constraints] dom($i) ⊆ {sk2,sk3}
% 2.91/2.57 % External prover 'e' found a proof!
% 2.91/2.57 % [INFO] Killing All external provers ...
% 2.91/2.57 % Time passed: 1964ms (effective reasoning time: 1275ms)
% 2.91/2.57 % 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)>
% 2.91/2.58 % Axioms used in derivation (4): pel49_4, pel49_1, pel49_3, pel49_2
% 2.91/2.58 % No. of inferences in proof: 12
% 2.91/2.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1964 ms resp. 1275 ms w/o parsing
% 3.12/2.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.12/2.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------