%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n013.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 08:31:05 AM UTC 2026
% Result : Unsatisfiable 4.27s 3.00s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 8 ~; 6 |; 0 &; 26 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_f_decl,type,
v_f: $i > $i ).
thf(v_g_decl,type,
v_g: $i > $i ).
thf(v_x_decl,type,
v_x: $i ).
thf(v_xa_decl,type,
v_xa: $i > $i ).
thf(1,negated_conjecture,
( ( v_x @ v_g @ v_f )
= v_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(5,plain,
( ( v_x @ v_g @ v_f )
= v_x ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( ( A @ v_g @ v_f )
!= A )
| ( A = v_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(6,plain,
! [A: $i] :
( ( ( A @ v_g @ v_f )
!= A )
| ( A = v_x ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( ( A @ v_f @ v_g )
!= A )
| ( ( A @ v_xa @ v_f @ v_g )
= ( A @ v_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(7,plain,
! [A: $i] :
( ( ( A @ v_f @ v_g )
!= A )
| ( ( A @ v_xa @ v_f @ v_g )
= ( A @ v_xa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ( ( A @ v_f @ v_g )
!= A )
| ( ( A @ v_xa )
!= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(8,plain,
! [A: $i] :
( ( ( A @ v_f @ v_g )
!= A )
| ( ( A @ v_xa )
!= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[5,6,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 08:19:51 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 1.23/1.19 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.62/1.43 % [INFO] Parsing done (241ms).
% 1.62/1.45 % [INFO] Running in sequential loop mode.
% 2.30/2.03 % [INFO] eprover registered as external prover.
% 2.30/2.04 % [INFO] Scanning for conjecture ...
% 2.74/2.16 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.82/2.21 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.82/2.21 % [INFO] Problem is propositional (TPTP CNF).
% 2.82/2.22 % [INFO] Type checking passed.
% 2.82/2.23 % [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 ...
% 4.27/2.99 % External prover 'e' found a proof!
% 4.27/2.99 % [INFO] Killing All external provers ...
% 4.27/3.00 % Time passed: 2423ms (effective reasoning time: 1534ms)
% 4.27/3.00 % Axioms used in derivation (0):
% 4.27/3.00 % No. of inferences in proof: 9
% 4.27/3.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2423 ms resp. 1534 ms w/o parsing
% 4.27/3.04 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.27/3.04 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------