%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV558-1.004 : 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 : n015.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 4.48s 2.56s
% Output : Refutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 23
% Syntax : Number of formulae : 47 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 50 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 162 ( 2 ~; 4 |; 0 &; 156 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 23 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(a_29_decl,type,
a_29: $i ).
thf(a_31_decl,type,
a_31: $i ).
thf(store_decl,type,
store: $i > $i > $i > $i ).
thf(select_decl,type,
select: $i > $i > $i ).
thf(e_20_decl,type,
e_20: $i ).
thf(a_19_decl,type,
a_19: $i ).
thf(i2_decl,type,
i2: $i ).
thf(a_25_decl,type,
a_25: $i ).
thf(i4_decl,type,
i4: $i ).
thf(e_28_decl,type,
e_28: $i ).
thf(a_21_decl,type,
a_21: $i ).
thf(i3_decl,type,
i3: $i ).
thf(e_24_decl,type,
e_24: $i ).
thf(a_23_decl,type,
a_23: $i ).
thf(e_22_decl,type,
e_22: $i ).
thf(a_27_decl,type,
a_27: $i ).
thf(e_30_decl,type,
e_30: $i ).
thf(e_26_decl,type,
e_26: $i ).
thf(a_17_decl,type,
a_17: $i ).
thf(i1_decl,type,
i1: $i ).
thf(e_18_decl,type,
e_18: $i ).
thf(e_16_decl,type,
e_16: $i ).
thf(22,axiom,
( a_17
= ( e_16 @ ( i1 @ ( a1 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
thf(69,plain,
( a_17
= ( e_16 @ ( i1 @ ( a1 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(16,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(56,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)],[16]) ).
thf(14,axiom,
( a_31
= ( e_30 @ ( i4 @ ( a_27 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
thf(52,plain,
( a_31
= ( e_30 @ ( i4 @ ( a_27 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,axiom,
( e_22
= ( i2 @ ( a_17 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
thf(60,plain,
( e_22
= ( i2 @ ( a_17 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(7,axiom,
( a_25
= ( e_24 @ ( i3 @ ( a_21 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
thf(38,plain,
( a_25
= ( e_24 @ ( i3 @ ( a_21 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(20,axiom,
( a_19
= ( e_18 @ ( i1 @ ( a2 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
thf(65,plain,
( a_19
= ( e_18 @ ( i1 @ ( a2 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(12,axiom,
( a_27
= ( e_26 @ ( i3 @ ( a_23 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
thf(48,plain,
( a_27
= ( e_26 @ ( i3 @ ( a_23 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,axiom,
( a_23
= ( e_22 @ ( i2 @ ( a_19 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
thf(40,plain,
( a_23
= ( e_22 @ ( i2 @ ( a_19 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,axiom,
( a_29
= ( e_28 @ ( i4 @ ( a_25 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
thf(36,plain,
( a_29
= ( e_28 @ ( i4 @ ( a_25 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,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(62,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)],[19]) ).
thf(9,axiom,
( e_24
= ( i3 @ ( a_23 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
thf(42,plain,
( e_24
= ( i3 @ ( a_23 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(24,plain,
a1 != a2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,axiom,
( e_30
= ( i4 @ ( a_25 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
thf(46,plain,
( e_30
= ( i4 @ ( a_25 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,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(29,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)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( B @ ( A @ store ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( B @ ( A @ store ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( e_20
= ( i2 @ ( a_19 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
thf(34,plain,
( e_20
= ( i2 @ ( a_19 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
( e_28
= ( i4 @ ( a_27 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
thf(44,plain,
( e_28
= ( i4 @ ( a_27 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,axiom,
a_29 = a_31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
thf(27,plain,
a_29 = a_31,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,axiom,
( e_18
= ( i1 @ ( a1 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
thf(71,plain,
( e_18
= ( i1 @ ( a1 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(15,axiom,
( a_21
= ( e_20 @ ( i2 @ ( a_17 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
thf(54,plain,
( a_21
= ( e_20 @ ( i2 @ ( a_17 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
( e_26
= ( i3 @ ( a_21 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
thf(50,plain,
( e_26
= ( i3 @ ( a_21 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(21,axiom,
( e_16
= ( i1 @ ( a2 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
thf(67,plain,
( e_16
= ( i1 @ ( a2 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(85,plain,
$false,
inference(e,[status(thm)],[69,56,52,60,38,65,48,40,58,36,62,42,24,46,29,32,34,44,27,71,54,50,67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.13 % 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
% 0.22/0.48 % Computer : n015.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sat Sep 26 14:30:15 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 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
% 1.28/1.29 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.68/1.45 % [INFO] Parsing done (155ms).
% 1.68/1.46 % [INFO] Running in sequential loop mode.
% 2.23/1.79 % [INFO] eprover registered as external prover.
% 2.45/1.80 % [INFO] Scanning for conjecture ...
% 2.45/1.87 % [INFO] Found a conjecture (or negated_conjecture) and 22 axioms. Running axiom selection ...
% 2.73/1.93 % [INFO] Axiom selection finished. Selected 22 axioms (removed 0 axioms).
% 2.73/1.95 % [INFO] Problem is propositional (TPTP CNF).
% 2.73/1.96 % [INFO] Type checking passed.
% 2.73/1.96 % [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 ...
% 4.48/2.56 % External prover 'e' found a proof!
% 4.48/2.56 % [INFO] Killing All external provers ...
% 4.48/2.56 % Time passed: 1868ms (effective reasoning time: 1095ms)
% 4.48/2.56 % Axioms used in derivation (22): hyp2, hyp7, hyp15, hyp16, a4, hyp0, hyp4, a1, hyp9, a2, hyp8, hyp10, hyp3, a5, hyp13, hyp12, hyp5, a3, hyp1, hyp11, hyp14, hyp6
% 4.48/2.56 % No. of inferences in proof: 47
% 4.48/2.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1868 ms resp. 1095 ms w/o parsing
% 4.90/2.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.90/2.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------