%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% 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 : n007.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 08:59:51 AM UTC 2026
% Result : Unsatisfiable 3.58s 2.33s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 382 ( 2 ~; 4 |; 0 &; 376 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(a1_decl,type,
a1: $i ).
thf(a2_decl,type,
a2: $i ).
thf(select_decl,type,
select: $i > $i > $i ).
thf(store_decl,type,
store: $i > $i > $i > $i ).
thf(i1_decl,type,
i1: $i ).
thf(i2_decl,type,
i2: $i ).
thf(i3_decl,type,
i3: $i ).
thf(i4_decl,type,
i4: $i ).
thf(6,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( B @ ( D @ ( A @ ( C @ store ) ) @ store ) ) )
= ( D @ ( A @ ( E @ ( B @ ( C @ store ) ) @ store ) ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).
thf(20,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( B @ ( D @ ( A @ ( C @ store ) ) @ store ) ) )
= ( D @ ( A @ ( E @ ( B @ ( C @ store ) ) @ store ) ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( D @ ( A @ ( C @ store ) ) @ select ) )
= ( B @ ( C @ select ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( D @ ( A @ ( C @ store ) ) @ select ) )
= ( B @ ( C @ select ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ ( B @ ( A @ store ) ) @ store ) ) )
= ( D @ ( B @ ( A @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
thf(18,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ ( B @ ( A @ store ) ) @ store ) ) )
= ( D @ ( B @ ( A @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( B @ ( A @ store ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( B @ ( A @ store ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
( ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ store ) ) @ select ) @ ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ store ) ) @ store ) ) )
= ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ store ) ) @ select ) @ ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ store ) ) @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
thf(23,plain,
( ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ store ) ) @ select ) @ ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ store ) ) @ store ) ) )
= ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ store ) ) @ select ) @ ( i4 @ ( i3 @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ store ) ) @ select ) @ ( i3 @ ( i2 @ ( i1 @ ( a2 @ select ) @ ( i1 @ ( a1 @ store ) ) @ select ) @ ( i2 @ ( i1 @ ( a1 @ select ) @ ( i1 @ ( a2 @ store ) ) @ store ) ) @ store ) ) @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(8,plain,
a1 != a2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[20,13,18,16,11,23,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 14:24:09 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
% 0.84/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/1.17 % [INFO] Parsing done (180ms).
% 1.24/1.18 % [INFO] Running in sequential loop mode.
% 1.82/1.57 % [INFO] eprover registered as external prover.
% 1.82/1.58 % [INFO] Scanning for conjecture ...
% 2.04/1.67 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.20/1.71 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.20/1.75 % [INFO] Problem is propositional (TPTP CNF).
% 2.20/1.75 % [INFO] Type checking passed.
% 2.20/1.76 % [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 ...
% 3.58/2.32 % External prover 'e' found a proof!
% 3.58/2.32 % [INFO] Killing All external provers ...
% 3.58/2.32 % Time passed: 1779ms (effective reasoning time: 1134ms)
% 3.58/2.33 % Axioms used in derivation (6): a5, a4, hyp0, a3, a1, a2
% 3.58/2.33 % No. of inferences in proof: 15
% 3.58/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1779 ms resp. 1134 ms w/o parsing
% 3.58/2.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.58/2.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------