%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV543-1.004 : 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 : n012.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 08:59:47 AM UTC 2026
% Result : Unsatisfiable 1.90s 1.36s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 29
% Syntax : Number of formulae : 59 ( 57 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 60 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 196 ( 2 ~; 2 |; 0 &; 192 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 31 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_430_decl,type,
a_430: $i ).
thf(a_440_decl,type,
a_440: $i ).
thf(e_425_decl,type,
e_425: $i ).
thf(select_decl,type,
select: $i > $i > $i ).
thf(a_422_decl,type,
a_422: $i ).
thf(i3_decl,type,
i3: $i ).
thf(e_421_decl,type,
e_421: $i ).
thf(a_418_decl,type,
a_418: $i ).
thf(i0_decl,type,
i0: $i ).
thf(e_419_decl,type,
e_419: $i ).
thf(e_435_decl,type,
e_435: $i ).
thf(a_432_decl,type,
a_432: $i ).
thf(store_decl,type,
store: $i > $i > $i > $i ).
thf(a_420_decl,type,
a_420: $i ).
thf(a_431_decl,type,
a_431: $i ).
thf(e_416_decl,type,
e_416: $i ).
thf(a1_decl,type,
a1: $i ).
thf(i1_decl,type,
i1: $i ).
thf(e_437_decl,type,
e_437: $i ).
thf(a_436_decl,type,
a_436: $i ).
thf(i2_decl,type,
i2: $i ).
thf(a_417_decl,type,
a_417: $i ).
thf(a_438_decl,type,
a_438: $i ).
thf(a_434_decl,type,
a_434: $i ).
thf(a_428_decl,type,
a_428: $i ).
thf(a_426_decl,type,
a_426: $i ).
thf(e_427_decl,type,
e_427: $i ).
thf(a_424_decl,type,
a_424: $i ).
thf(e_433_decl,type,
e_433: $i ).
thf(e_423_decl,type,
e_423: $i ).
thf(e_439_decl,type,
e_439: $i ).
thf(e_429_decl,type,
e_429: $i ).
thf(4,axiom,
( e_419
= ( i3 @ ( a_418 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
thf(37,plain,
( e_419
= ( i3 @ ( a_418 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,axiom,
( a_428
= ( e_427 @ ( i2 @ ( a_426 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
thf(57,plain,
( a_428
= ( e_427 @ ( i2 @ ( a_426 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(27,axiom,
( e_429
= ( i2 @ ( a_426 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
thf(84,plain,
( e_429
= ( i2 @ ( a_426 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(16,axiom,
( e_427
= ( i0 @ ( a_426 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
thf(61,plain,
( e_427
= ( i0 @ ( a_426 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(2,axiom,
( e_425
= ( i3 @ ( a_422 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
thf(33,plain,
( e_425
= ( i3 @ ( a_422 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,axiom,
( e_423
= ( i2 @ ( a_422 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
thf(65,plain,
( e_423
= ( i2 @ ( a_422 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
( a_438
= ( e_437 @ ( i0 @ ( a_436 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
thf(53,plain,
( a_438
= ( e_437 @ ( i0 @ ( a_436 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(24,axiom,
( a_418
= ( e_416 @ ( i1 @ ( a_417 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
thf(77,plain,
( a_418
= ( e_416 @ ( i1 @ ( a_417 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(6,axiom,
( a_422
= ( e_421 @ ( i3 @ ( a_420 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
thf(41,plain,
( a_422
= ( e_421 @ ( i3 @ ( a_420 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(22,axiom,
( e_439
= ( i0 @ ( a_436 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
thf(73,plain,
( e_439
= ( i0 @ ( a_436 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(8,axiom,
( e_416
= ( i1 @ ( a1 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
thf(45,plain,
( e_416
= ( i1 @ ( a1 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
( a_426
= ( e_425 @ ( i2 @ ( a_424 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
thf(59,plain,
( a_426
= ( e_425 @ ( i2 @ ( a_424 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,axiom,
( e_421
= ( i0 @ ( a_418 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
thf(35,plain,
( e_421
= ( i0 @ ( a_418 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,axiom,
( a_434
= ( e_433 @ ( i3 @ ( a_432 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
thf(63,plain,
( a_434
= ( e_433 @ ( i3 @ ( a_432 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,axiom,
( a_424
= ( e_423 @ ( i3 @ ( a_422 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
thf(67,plain,
( a_424
= ( e_423 @ ( i3 @ ( a_422 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
( a_431
= ( e_421 @ ( i3 @ ( a_418 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
thf(43,plain,
( a_431
= ( e_421 @ ( i3 @ ( a_418 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,axiom,
( a_436
= ( e_435 @ ( i2 @ ( a_434 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
thf(55,plain,
( a_436
= ( e_435 @ ( i2 @ ( a_434 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(23,axiom,
( e_433
= ( i2 @ ( a_432 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
thf(75,plain,
( e_433
= ( i2 @ ( a_432 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,axiom,
( a_432
= ( e_419 @ ( i0 @ ( a_431 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
thf(47,plain,
( a_432
= ( e_419 @ ( i0 @ ( a_431 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( C @ ( C @ ( A @ select ) @ ( B @ ( A @ store ) ) @ store ) ) )
= ( C @ ( A @ select ) @ ( B @ ( B @ ( A @ select ) @ ( C @ ( A @ store ) ) @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( C @ ( C @ ( A @ select ) @ ( B @ ( A @ store ) ) @ store ) ) )
= ( C @ ( A @ select ) @ ( B @ ( B @ ( A @ select ) @ ( C @ ( A @ store ) ) @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(29,axiom,
( a_430
= ( e_429 @ ( i0 @ ( a_428 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
thf(88,plain,
( a_430
= ( e_429 @ ( i0 @ ( a_428 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(21,axiom,
( a_420
= ( e_419 @ ( i0 @ ( a_418 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
thf(71,plain,
( a_420
= ( e_419 @ ( i0 @ ( a_418 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,axiom,
( e_437
= ( i2 @ ( a_436 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
thf(49,plain,
( e_437
= ( i2 @ ( a_436 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(28,axiom,
( a_440
= ( e_439 @ ( i2 @ ( a_438 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
thf(86,plain,
( a_440
= ( e_439 @ ( i2 @ ( a_438 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(26,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(81,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)],[26]) ).
thf(5,axiom,
( e_435
= ( i3 @ ( a_432 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
thf(39,plain,
( e_435
= ( i3 @ ( a_432 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
a_430 != a_440,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(30,plain,
a_430 != a_440,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,axiom,
( a_417
= ( e_416 @ ( i1 @ ( a1 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
thf(51,plain,
( a_417
= ( e_416 @ ( i1 @ ( a1 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(94,plain,
$false,
inference(e,[status(thm)],[37,57,84,61,33,65,53,77,41,73,45,59,35,63,67,43,55,75,79,47,69,88,71,49,86,81,39,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV543-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % 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
% 0.06/0.32 % Computer : n012.cluster.edu
% 0.06/0.32 % Model : x86_64 x86_64
% 0.06/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.32 % Memory : 8046.5625MB
% 0.06/0.32 % OS : Linux 6.8.0-71-generic
% 0.06/0.32 % CPULimit : 300
% 0.06/0.32 % WCLimit : 300
% 0.06/0.32 % DateTime : Sat Sep 26 14:21:05 UTC 2026
% 0.06/0.32 % CPUTime :
% 0.06/0.32 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
% 0.39/0.61 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.70 % [INFO] Parsing done (94ms).
% 0.66/0.71 % [INFO] Running in sequential loop mode.
% 1.01/0.90 % [INFO] eprover registered as external prover.
% 1.01/0.90 % [INFO] Scanning for conjecture ...
% 1.01/0.95 % [INFO] Found a conjecture (or negated_conjecture) and 28 axioms. Running axiom selection ...
% 1.01/0.99 % [INFO] Axiom selection finished. Selected 28 axioms (removed 0 axioms).
% 1.01/1.01 % [INFO] Problem is propositional (TPTP CNF).
% 1.01/1.01 % [INFO] Type checking passed.
% 1.01/1.01 % [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 ...
% 1.90/1.35 % External prover 'e' found a proof!
% 1.90/1.35 % [INFO] Killing All external provers ...
% 1.90/1.35 % Time passed: 956ms (effective reasoning time: 639ms)
% 1.90/1.36 % Axioms used in derivation (28): hyp2, hyp7, hyp15, hyp16, hyp20, hyp3, hyp0, hyp23, hyp4, hyp17, hyp9, a2, hyp18, hyp8, hyp21, hyp10, hyp19, hyp24, hyp13, hyp12, hyp5, a3, hyp1, hyp11, hyp22, a1, hyp14, hyp6
% 1.90/1.36 % No. of inferences in proof: 59
% 1.90/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 956 ms resp. 639 ms w/o parsing
% 1.90/1.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.90/1.39 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------