%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV565-1.004 : TPTP v9.3.1. Released v4.0.0.
% 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 : n010.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 08:59:53 AM UTC 2026
% Result : Unsatisfiable 3.75s 2.41s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 49 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 50 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 160 ( 2 ~; 2 |; 0 &; 156 @)
% ( 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 : 30 ( 28 usr; 26 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(e_36_decl,type,
e_36: $i ).
thf(e_37_decl,type,
e_37: $i ).
thf(a_32_decl,type,
a_32: $i ).
thf(a_34_decl,type,
a_34: $i ).
thf(a_24_decl,type,
a_24: $i ).
thf(store_decl,type,
store: $i > $i > $i > $i ).
thf(a_20_decl,type,
a_20: $i ).
thf(i2_decl,type,
i2: $i ).
thf(e_23_decl,type,
e_23: $i ).
thf(a_26_decl,type,
a_26: $i ).
thf(a_22_decl,type,
a_22: $i ).
thf(e_25_decl,type,
e_25: $i ).
thf(a_28_decl,type,
a_28: $i ).
thf(i3_decl,type,
i3: $i ).
thf(e_27_decl,type,
e_27: $i ).
thf(i4_decl,type,
i4: $i ).
thf(e_31_decl,type,
e_31: $i ).
thf(a_30_decl,type,
a_30: $i ).
thf(e_29_decl,type,
e_29: $i ).
thf(e_33_decl,type,
e_33: $i ).
thf(select_decl,type,
select: $i > $i > $i ).
thf(a2_decl,type,
a2: $i ).
thf(i1_decl,type,
i1: $i ).
thf(e_21_decl,type,
e_21: $i ).
thf(i_35_decl,type,
i_35: $i ).
thf(sk_decl,type,
sk: $i > $i > $i ).
thf(a1_decl,type,
a1: $i ).
thf(e_19_decl,type,
e_19: $i ).
thf(22,axiom,
( e_21
= ( i1 @ ( a1 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(69,plain,
( e_21
= ( i1 @ ( a1 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(18,axiom,
( a_20
= ( e_19 @ ( i1 @ ( a1 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(61,plain,
( a_20
= ( e_19 @ ( i1 @ ( a1 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(20,axiom,
( e_31
= ( i4 @ ( a_30 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(65,plain,
( e_31
= ( i4 @ ( a_30 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
( e_27
= ( i3 @ ( a_26 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(53,plain,
( e_27
= ( i3 @ ( a_26 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(24,axiom,
( e_36
= ( i_35 @ ( a1 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(73,plain,
( e_36
= ( i_35 @ ( a1 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(23,axiom,
( e_37
= ( i_35 @ ( a2 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(71,plain,
( e_37
= ( i_35 @ ( a2 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(9,axiom,
( e_33
= ( i4 @ ( a_28 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(42,plain,
( e_33
= ( i4 @ ( a_28 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,negated_conjecture,
e_36 != e_37,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(25,plain,
e_36 != e_37,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,axiom,
( e_29
= ( i3 @ ( a_24 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(57,plain,
( e_29
= ( i3 @ ( a_24 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(2,axiom,
a_32 = a_34,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(28,plain,
a_32 = a_34,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
( a_30
= ( e_29 @ ( i3 @ ( a_26 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(38,plain,
( a_30
= ( e_29 @ ( i3 @ ( a_26 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
( a_26
= ( e_25 @ ( i2 @ ( a_22 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(32,plain,
( a_26
= ( e_25 @ ( i2 @ ( a_22 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( a_28
= ( e_27 @ ( i3 @ ( a_24 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(34,plain,
( a_28
= ( e_27 @ ( i3 @ ( a_24 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
( e_23
= ( i2 @ ( a_22 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(44,plain,
( e_23
= ( i2 @ ( a_22 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
( e_25
= ( i2 @ ( a_20 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(59,plain,
( e_25
= ( i2 @ ( a_20 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(12,axiom,
( a_22
= ( e_21 @ ( i1 @ ( a2 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(48,plain,
( a_22
= ( e_21 @ ( i1 @ ( a2 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(19,axiom,
( e_19
= ( i1 @ ( a2 @ select ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(63,plain,
( e_19
= ( i1 @ ( a2 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(13,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( D @ ( A @ ( C @ store ) ) @ select ) )
= ( B @ ( C @ select ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(50,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)],[13]) ).
thf(21,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/sandbox/benchmark/theBenchmark.p',a3) ).
thf(67,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)],[21]) ).
thf(8,axiom,
( a_34
= ( e_33 @ ( i4 @ ( a_30 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(40,plain,
( a_34
= ( e_33 @ ( i4 @ ( a_30 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
( i_35
= ( a2 @ ( a1 @ sk ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(55,plain,
( i_35
= ( a2 @ ( a1 @ sk ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
( a_32
= ( e_31 @ ( i4 @ ( a_28 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(36,plain,
( a_32
= ( e_31 @ ( i4 @ ( a_28 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
( a_24
= ( e_23 @ ( i2 @ ( a_20 @ store ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(30,plain,
( a_24
= ( e_23 @ ( i2 @ ( a_20 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(79,plain,
$false,
inference(e,[status(thm)],[69,61,65,53,73,71,42,25,46,57,28,38,32,34,44,59,48,63,50,67,40,55,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV565-1.004 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.15/0.40 % Computer : n010.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 14:29:45 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 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
% 0.83/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/1.15 % [INFO] Parsing done (178ms).
% 1.18/1.17 % [INFO] Running in sequential loop mode.
% 1.74/1.57 % [INFO] eprover registered as external prover.
% 1.74/1.58 % [INFO] Scanning for conjecture ...
% 1.94/1.67 % [INFO] Found a conjecture (or negated_conjecture) and 23 axioms. Running axiom selection ...
% 2.08/1.73 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 2.08/1.77 % [INFO] Problem is propositional (TPTP CNF).
% 2.08/1.77 % [INFO] Type checking passed.
% 2.08/1.78 % [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 ...
% 3.75/2.40 % External prover 'e' found a proof!
% 3.75/2.40 % [INFO] Killing All external provers ...
% 3.75/2.40 % Time passed: 1857ms (effective reasoning time: 1229ms)
% 3.75/2.41 % Axioms used in derivation (23): hyp2, hyp19, hyp7, hyp15, hyp16, hyp3, hyp0, hyp4, hyp17, a1, hyp9, a2, hyp18, hyp8, hyp10, hyp13, hyp12, hyp5, a3, hyp1, hyp11, hyp14, hyp6
% 3.75/2.41 % No. of inferences in proof: 49
% 3.75/2.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1857 ms resp. 1229 ms w/o parsing
% 3.75/2.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.75/2.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------