%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : 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 09:15:17 AM UTC 2026
% Result : Theorem 3.26s 7.38s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 32 ( 4 ~; 0 |; 0 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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 : 13 ( 0 ^; 10 !; 3 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(x2_decl,type,
x2: $i > $i > $i ).
thf(proj1S_decl,type,
proj1S: $i > $i ).
thf(s_decl,type,
s: $i > $i ).
thf(z_decl,type,
z: $i ).
thf(3,axiom,
! [A: $i] :
( ( A @ s @ proj1S )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
thf(10,plain,
! [A: $i] :
( ( A @ s @ proj1S )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ s @ x2 ) )
= ( A @ ( B @ x2 ) @ s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ s @ x2 ) )
= ( A @ ( B @ x2 ) @ s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
( z
!= ( A @ s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
thf(13,plain,
! [A: $i] :
( z
!= ( A @ s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ ( z @ x2 ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
thf(17,plain,
! [A: $i] :
( ( A @ ( z @ x2 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
? [A: $i] :
( ( A @ ( A @ x2 ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_005) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( A @ ( A @ x2 ) )
= A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ? [A: $i] :
( ( A @ ( A @ x2 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,20,13,17,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % 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
% 0.12/5.40 % Computer : n019.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Sat Sep 26 16:55:40 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.12/5.40 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
% 0.17/6.04 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/6.22 % [INFO] Parsing done (176ms).
% 1.30/6.24 % [INFO] Running in sequential loop mode.
% 1.86/6.68 % [INFO] eprover registered as external prover.
% 1.86/6.69 % [INFO] Scanning for conjecture ...
% 2.05/6.78 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.22/6.81 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.22/6.82 % [INFO] Problem is first-order (TPTP FOF).
% 2.22/6.83 % [INFO] Type checking passed.
% 2.22/6.84 % [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 ...
% 3.26/7.38 % External prover 'e' found a proof!
% 3.26/7.38 % [INFO] Killing All external provers ...
% 3.26/7.38 % Time passed: 1810ms (effective reasoning time: 1138ms)
% 3.26/7.38 % 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)>
% 3.26/7.38 % Axioms used in derivation (4): axiom_001, axiom_004, axiom_002, axiom_003
% 3.26/7.38 % No. of inferences in proof: 12
% 3.26/7.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1810 ms resp. 1138 ms w/o parsing
% 3.55/7.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.55/7.44 % [INFO] Killing All external provers ...
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