TSTP Solution File: SWV565-1.004 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV565-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:17:15 EDT 2023
% Result : Unsatisfiable 2.91s 1.87s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 52
% Syntax : Number of formulae : 77 ( 47 unt; 28 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 : 7 ( 7 >; 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_type,type,
e_36: $i ).
thf(e_37_type,type,
e_37: $i ).
thf(a_32_type,type,
a_32: $i ).
thf(a_34_type,type,
a_34: $i ).
thf(a_24_type,type,
a_24: $i ).
thf(store_type,type,
store: $i > $i > $i > $i ).
thf(a_20_type,type,
a_20: $i ).
thf(i2_type,type,
i2: $i ).
thf(e_23_type,type,
e_23: $i ).
thf(a_26_type,type,
a_26: $i ).
thf(a_22_type,type,
a_22: $i ).
thf(e_25_type,type,
e_25: $i ).
thf(a_28_type,type,
a_28: $i ).
thf(i3_type,type,
i3: $i ).
thf(e_27_type,type,
e_27: $i ).
thf(i4_type,type,
i4: $i ).
thf(e_31_type,type,
e_31: $i ).
thf(a_30_type,type,
a_30: $i ).
thf(e_29_type,type,
e_29: $i ).
thf(e_33_type,type,
e_33: $i ).
thf(select_type,type,
select: $i > $i > $i ).
thf(a2_type,type,
a2: $i ).
thf(i1_type,type,
i1: $i ).
thf(e_21_type,type,
e_21: $i ).
thf(i_35_type,type,
i_35: $i ).
thf(sk_type,type,
sk: $i > $i > $i ).
thf(a1_type,type,
a1: $i ).
thf(e_19_type,type,
e_19: $i ).
thf(22,axiom,
( e_21
= ( select @ a1 @ i1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
thf(69,plain,
( e_21
= ( select @ a1 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(18,axiom,
( a_20
= ( store @ a1 @ i1 @ e_19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
thf(61,plain,
( a_20
= ( store @ a1 @ i1 @ e_19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(20,axiom,
( e_31
= ( select @ a_30 @ i4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
thf(65,plain,
( e_31
= ( select @ a_30 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
( e_27
= ( select @ a_26 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
thf(53,plain,
( e_27
= ( select @ a_26 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(24,axiom,
( e_36
= ( select @ a1 @ i_35 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
thf(73,plain,
( e_36
= ( select @ a1 @ i_35 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(23,axiom,
( e_37
= ( select @ a2 @ i_35 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
thf(71,plain,
( e_37
= ( select @ a2 @ i_35 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(9,axiom,
( e_33
= ( select @ a_28 @ i4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
thf(42,plain,
( e_33
= ( select @ a_28 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,negated_conjecture,
e_36 != e_37,
file('/export/starexec/sandbox2/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] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,axiom,
( e_29
= ( select @ a_24 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
thf(57,plain,
( e_29
= ( select @ a_24 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(2,axiom,
a_32 = a_34,
file('/export/starexec/sandbox2/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
= ( store @ a_26 @ i3 @ e_29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
thf(38,plain,
( a_30
= ( store @ a_26 @ i3 @ e_29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
( a_26
= ( store @ a_22 @ i2 @ e_25 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
thf(32,plain,
( a_26
= ( store @ a_22 @ i2 @ e_25 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( a_28
= ( store @ a_24 @ i3 @ e_27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
thf(34,plain,
( a_28
= ( store @ a_24 @ i3 @ e_27 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
( e_23
= ( select @ a_22 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
thf(44,plain,
( e_23
= ( select @ a_22 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
( e_25
= ( select @ a_20 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
thf(59,plain,
( e_25
= ( select @ a_20 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(12,axiom,
( a_22
= ( store @ a2 @ i1 @ e_21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
thf(48,plain,
( a_22
= ( store @ a2 @ i1 @ e_21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(19,axiom,
( e_19
= ( select @ a2 @ i1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
thf(63,plain,
( e_19
= ( select @ a2 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(13,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
= ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
= ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(8,axiom,
( a_34
= ( store @ a_30 @ i4 @ e_33 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
thf(40,plain,
( a_34
= ( store @ a_30 @ i4 @ e_33 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
( i_35
= ( sk @ a1 @ a2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
thf(55,plain,
( i_35
= ( sk @ a1 @ a2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
( a_32
= ( store @ a_28 @ i4 @ e_31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
thf(36,plain,
( a_32
= ( store @ a_28 @ i4 @ e_31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
( a_24
= ( store @ a_20 @ i2 @ e_23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
thf(30,plain,
( a_24
= ( store @ a_20 @ i2 @ e_23 ) ),
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
% 0.03/0.13 % Problem : SWV565-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.15/0.38 % Computer : n024.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Fri May 19 02:22:22 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.99/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/1.08 % [INFO] Parsing done (141ms).
% 1.34/1.09 % [INFO] Running in sequential loop mode.
% 1.73/1.32 % [INFO] eprover registered as external prover.
% 1.73/1.32 % [INFO] cvc4 registered as external prover.
% 1.73/1.33 % [INFO] Scanning for conjecture ...
% 1.90/1.38 % [INFO] Found a conjecture and 23 axioms. Running axiom selection ...
% 1.90/1.43 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 1.90/1.45 % [INFO] Problem is propositional (TPTP CNF).
% 1.90/1.46 % [INFO] Type checking passed.
% 1.90/1.46 % [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 ...
% 2.91/1.87 % External prover 'e' found a proof!
% 2.91/1.87 % [INFO] Killing All external provers ...
% 2.91/1.87 % Time passed: 1316ms (effective reasoning time: 772ms)
% 2.91/1.87 % Solved by 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)>
% 2.91/1.87 % 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
% 2.91/1.87 % No. of inferences in proof: 49
% 2.91/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1316 ms resp. 772 ms w/o parsing
% 3.19/1.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.19/1.94 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------