%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV558-1.007 : 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 5.86s 3.59s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 35
% Syntax : Number of formulae : 71 ( 67 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 74 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 222 ( 2 ~; 4 |; 0 &; 216 @)
% ( 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 : 41 ( 39 usr; 38 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_53_decl,type,
a_53: $i ).
thf(a_55_decl,type,
a_55: $i ).
thf(store_decl,type,
store: $i > $i > $i > $i ).
thf(a_49_decl,type,
a_49: $i ).
thf(i7_decl,type,
i7: $i ).
thf(e_52_decl,type,
e_52: $i ).
thf(a_45_decl,type,
a_45: $i ).
thf(i6_decl,type,
i6: $i ).
thf(e_48_decl,type,
e_48: $i ).
thf(e_34_decl,type,
e_34: $i ).
thf(select_decl,type,
select: $i > $i > $i ).
thf(a_29_decl,type,
a_29: $i ).
thf(i2_decl,type,
i2: $i ).
thf(e_36_decl,type,
e_36: $i ).
thf(a_35_decl,type,
a_35: $i ).
thf(i3_decl,type,
i3: $i ).
thf(e_38_decl,type,
e_38: $i ).
thf(a_33_decl,type,
a_33: $i ).
thf(e_46_decl,type,
e_46: $i ).
thf(a_41_decl,type,
a_41: $i ).
thf(i5_decl,type,
i5: $i ).
thf(e_42_decl,type,
e_42: $i ).
thf(a_37_decl,type,
a_37: $i ).
thf(i4_decl,type,
i4: $i ).
thf(e_54_decl,type,
e_54: $i ).
thf(e_44_decl,type,
e_44: $i ).
thf(e_32_decl,type,
e_32: $i ).
thf(a_31_decl,type,
a_31: $i ).
thf(a_47_decl,type,
a_47: $i ).
thf(a_43_decl,type,
a_43: $i ).
thf(a_51_decl,type,
a_51: $i ).
thf(e_40_decl,type,
e_40: $i ).
thf(a_39_decl,type,
a_39: $i ).
thf(e_50_decl,type,
e_50: $i ).
thf(i1_decl,type,
i1: $i ).
thf(e_30_decl,type,
e_30: $i ).
thf(e_28_decl,type,
e_28: $i ).
thf(10,axiom,
( e_46
= ( i5 @ ( a_41 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
thf(56,plain,
( e_46
= ( i5 @ ( a_41 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,axiom,
( e_36
= ( i3 @ ( a_35 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
thf(52,plain,
( e_36
= ( i3 @ ( a_35 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,axiom,
( a_39
= ( e_38 @ ( i3 @ ( a_35 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
thf(78,plain,
( a_39
= ( e_38 @ ( i3 @ ( a_35 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,axiom,
( a_41
= ( e_40 @ ( i4 @ ( a_37 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
thf(84,plain,
( a_41
= ( e_40 @ ( i4 @ ( a_37 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(19,axiom,
( a_33
= ( e_32 @ ( i2 @ ( a_29 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
thf(74,plain,
( a_33
= ( e_32 @ ( i2 @ ( a_29 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(12,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(60,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)],[12]) ).
thf(17,axiom,
( a_47
= ( e_46 @ ( i5 @ ( a_43 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
thf(70,plain,
( a_47
= ( e_46 @ ( i5 @ ( a_43 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(28,axiom,
( e_50
= ( i6 @ ( a_45 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
thf(92,plain,
( e_50
= ( i6 @ ( a_45 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(96,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( B @ ( A @ store ) ) @ select ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(3,axiom,
( a_53
= ( e_52 @ ( i7 @ ( a_49 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
thf(41,plain,
( a_53
= ( e_52 @ ( i7 @ ( a_49 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(34,axiom,
( a_29
= ( e_28 @ ( i1 @ ( a1 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
thf(105,plain,
( a_29
= ( e_28 @ ( i1 @ ( a1 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(22,axiom,
( a_55
= ( e_54 @ ( i7 @ ( a_51 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
thf(80,plain,
( a_55
= ( e_54 @ ( i7 @ ( a_51 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( B @ ( A @ store ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ select ) @ ( B @ ( A @ store ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(36,plain,
a1 != a2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(27,axiom,
( e_48
= ( i6 @ ( a_47 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
thf(90,plain,
( e_48
= ( i6 @ ( a_47 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(32,axiom,
( a_31
= ( e_30 @ ( i1 @ ( a2 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
thf(101,plain,
( a_31
= ( e_30 @ ( i1 @ ( a2 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(26,axiom,
( e_44
= ( i5 @ ( a_43 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
thf(88,plain,
( e_44
= ( i5 @ ( a_43 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(5,axiom,
( e_34
= ( i2 @ ( a_29 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
thf(45,plain,
( e_34
= ( i2 @ ( a_29 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,axiom,
( a_37
= ( e_36 @ ( i3 @ ( a_33 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
thf(64,plain,
( a_37
= ( e_36 @ ( i3 @ ( a_33 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
( e_38
= ( i3 @ ( a_33 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
thf(54,plain,
( e_38
= ( i3 @ ( a_33 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,axiom,
( a_51
= ( e_50 @ ( i6 @ ( a_47 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
thf(86,plain,
( a_51
= ( e_50 @ ( i6 @ ( a_47 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,axiom,
( e_40
= ( i4 @ ( a_39 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
thf(76,plain,
( e_40
= ( i4 @ ( a_39 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(2,axiom,
a_53 = a_55,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).
thf(39,plain,
a_53 = a_55,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(31,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(98,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)],[31]) ).
thf(33,axiom,
( e_28
= ( i1 @ ( a2 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
thf(103,plain,
( e_28
= ( i1 @ ( a2 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,axiom,
( a_45
= ( e_44 @ ( i5 @ ( a_41 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
thf(66,plain,
( a_45
= ( e_44 @ ( i5 @ ( a_41 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,axiom,
( e_52
= ( i7 @ ( a_51 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).
thf(72,plain,
( e_52
= ( i7 @ ( a_51 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,axiom,
( a_49
= ( e_48 @ ( i6 @ ( a_45 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
thf(43,plain,
( a_49
= ( e_48 @ ( i6 @ ( a_45 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
( e_42
= ( i4 @ ( a_37 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
thf(58,plain,
( e_42
= ( i4 @ ( a_37 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(23,axiom,
( a_35
= ( e_34 @ ( i2 @ ( a_31 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
thf(82,plain,
( a_35
= ( e_34 @ ( i2 @ ( a_31 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,axiom,
( e_30
= ( i1 @ ( a1 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
thf(107,plain,
( e_30
= ( i1 @ ( a1 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(29,axiom,
( a_43
= ( e_42 @ ( i4 @ ( a_39 @ store ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
thf(94,plain,
( a_43
= ( e_42 @ ( i4 @ ( a_39 @ store ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
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(47,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(16,axiom,
( e_32
= ( i2 @ ( a_31 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
thf(68,plain,
( e_32
= ( i2 @ ( a_31 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
( e_54
= ( i7 @ ( a_49 @ select ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).
thf(62,plain,
( e_54
= ( i7 @ ( a_49 @ select ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(109,plain,
$false,
inference(e,[status(thm)],[56,52,78,84,74,60,70,92,96,41,105,80,50,36,90,101,88,45,64,54,86,76,39,98,103,66,72,43,58,82,107,94,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV558-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % 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
% 0.15/0.41 % Computer : n015.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 14:30:00 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 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
% 1.29/1.25 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.82/1.54 % [INFO] Parsing done (286ms).
% 1.82/1.56 % [INFO] Running in sequential loop mode.
% 2.91/2.17 % [INFO] eprover registered as external prover.
% 2.91/2.18 % [INFO] Scanning for conjecture ...
% 3.20/2.32 % [INFO] Found a conjecture (or negated_conjecture) and 34 axioms. Running axiom selection ...
% 3.37/2.42 % [INFO] Axiom selection finished. Selected 34 axioms (removed 0 axioms).
% 3.37/2.48 % [INFO] Problem is propositional (TPTP CNF).
% 3.37/2.49 % [INFO] Type checking passed.
% 3.60/2.50 % [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 ...
% 5.86/3.58 % External prover 'e' found a proof!
% 5.86/3.58 % [INFO] Killing All external provers ...
% 5.86/3.58 % Time passed: 2957ms (effective reasoning time: 2013ms)
% 5.86/3.59 % Axioms used in derivation (34): hyp2, hyp7, hyp16, hyp20, hyp0, hyp23, hyp4, hyp9, hyp18, hyp8, hyp21, hyp10, hyp19, hyp24, hyp15, hyp28, hyp3, a5, a4, hyp25, hyp13, hyp12, hyp5, a3, hyp17, hyp26, hyp1, hyp11, hyp22, a1, hyp14, hyp6, a2, hyp27
% 5.86/3.59 % No. of inferences in proof: 71
% 5.86/3.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2957 ms resp. 2013 ms w/o parsing
% 6.22/3.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.22/3.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------