TSTP Solution File: SWV555-1.007 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV555-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 12:17:11 EDT 2023
% Result : Unsatisfiable 3.81s 1.85s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 78
% Syntax : Number of formulae : 114 ( 69 unt; 43 typ; 0 def)
% Number of atoms : 73 ( 72 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 180 ( 2 ~; 2 |; 0 &; 176 @)
% ( 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 : 45 ( 43 usr; 41 con; 0-3 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(e_60_type,type,
e_60: $i ).
thf(e_61_type,type,
e_61: $i ).
thf(a_56_type,type,
a_56: $i ).
thf(a_58_type,type,
a_58: $i ).
thf(store_type,type,
store: $i > $i > $i > $i ).
thf(a_54_type,type,
a_54: $i ).
thf(i7_type,type,
i7: $i ).
thf(e_57_type,type,
e_57: $i ).
thf(a_52_type,type,
a_52: $i ).
thf(a_48_type,type,
a_48: $i ).
thf(i6_type,type,
i6: $i ).
thf(e_51_type,type,
e_51: $i ).
thf(a_44_type,type,
a_44: $i ).
thf(a_40_type,type,
a_40: $i ).
thf(i4_type,type,
i4: $i ).
thf(e_43_type,type,
e_43: $i ).
thf(i5_type,type,
i5: $i ).
thf(e_47_type,type,
e_47: $i ).
thf(a_50_type,type,
a_50: $i ).
thf(e_53_type,type,
e_53: $i ).
thf(a_46_type,type,
a_46: $i ).
thf(a_42_type,type,
a_42: $i ).
thf(e_45_type,type,
e_45: $i ).
thf(a_38_type,type,
a_38: $i ).
thf(i3_type,type,
i3: $i ).
thf(e_41_type,type,
e_41: $i ).
thf(a_34_type,type,
a_34: $i ).
thf(i2_type,type,
i2: $i ).
thf(e_37_type,type,
e_37: $i ).
thf(a_36_type,type,
a_36: $i ).
thf(a_32_type,type,
a_32: $i ).
thf(e_35_type,type,
e_35: $i ).
thf(a1_type,type,
a1: $i ).
thf(i1_type,type,
i1: $i ).
thf(e_31_type,type,
e_31: $i ).
thf(a2_type,type,
a2: $i ).
thf(e_33_type,type,
e_33: $i ).
thf(e_39_type,type,
e_39: $i ).
thf(e_55_type,type,
e_55: $i ).
thf(e_49_type,type,
e_49: $i ).
thf(select_type,type,
select: $i > $i > $i ).
thf(i_59_type,type,
i_59: $i ).
thf(sk_type,type,
sk: $i > $i > $i ).
thf(11,axiom,
( a_36
= ( store @ a_32 @ i2 @ e_35 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(57,plain,
( a_36
= ( store @ a_32 @ i2 @ e_35 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(35,axiom,
( e_60
= ( select @ a1 @ i_59 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
thf(106,plain,
( e_60
= ( select @ a1 @ i_59 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(13,axiom,
( a_34
= ( store @ a2 @ i1 @ e_33 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(61,plain,
( a_34
= ( store @ a2 @ i1 @ e_33 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(33,axiom,
( i_59
= ( sk @ a1 @ a2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).
thf(102,plain,
( i_59
= ( sk @ a1 @ a2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(9,axiom,
( a_42
= ( store @ a_38 @ i3 @ e_41 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(53,plain,
( a_42
= ( store @ a_38 @ i3 @ e_41 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
( a_58
= ( store @ a_54 @ i7 @ e_57 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(41,plain,
( a_58
= ( store @ a_54 @ i7 @ e_57 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(19,axiom,
( e_33
= ( select @ a1 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(73,plain,
( e_33
= ( select @ a1 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(5,axiom,
( a_44
= ( store @ a_40 @ i4 @ e_43 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(45,plain,
( a_44
= ( store @ a_40 @ i4 @ e_43 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
( a_32
= ( store @ a1 @ i1 @ e_31 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(59,plain,
( a_32
= ( store @ a1 @ i1 @ e_31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(14,axiom,
( a_40
= ( store @ a_36 @ i3 @ e_39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(63,plain,
( a_40
= ( store @ a_36 @ i3 @ e_39 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
( a_50
= ( store @ a_46 @ i5 @ e_49 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(67,plain,
( a_50
= ( store @ a_46 @ i5 @ e_49 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(4,axiom,
( a_52
= ( store @ a_48 @ i6 @ e_51 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(43,plain,
( a_52
= ( store @ a_48 @ i6 @ e_51 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(34,axiom,
( e_61
= ( select @ a2 @ i_59 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).
thf(104,plain,
( e_61
= ( select @ a2 @ i_59 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(10,axiom,
( a_38
= ( store @ a_34 @ i2 @ e_37 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(55,plain,
( a_38
= ( store @ a_34 @ i2 @ e_37 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(20,axiom,
( e_53
= ( select @ a_48 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
thf(75,plain,
( e_53
= ( select @ a_48 @ i6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(6,axiom,
( a_48
= ( store @ a_44 @ i5 @ e_47 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(47,plain,
( a_48
= ( store @ a_44 @ i5 @ e_47 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
( e_39
= ( select @ a_38 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(69,plain,
( e_39
= ( select @ a_38 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(26,axiom,
( e_43
= ( select @ a_42 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
thf(88,plain,
( e_43
= ( select @ a_42 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(28,axiom,
( e_45
= ( select @ a_40 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
thf(92,plain,
( e_45
= ( select @ a_40 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(15,axiom,
( a_56
= ( store @ a_52 @ i7 @ e_55 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(65,plain,
( a_56
= ( store @ a_52 @ i7 @ e_55 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(21,axiom,
( e_47
= ( select @ a_46 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
thf(77,plain,
( e_47
= ( select @ a_46 @ i5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(30,axiom,
( e_37
= ( select @ a_32 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(96,plain,
( e_37
= ( select @ a_32 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(18,axiom,
( e_55
= ( select @ a_54 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
thf(71,plain,
( e_55
= ( select @ a_54 @ i7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(7,axiom,
( a_54
= ( store @ a_50 @ i6 @ e_53 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(49,plain,
( a_54
= ( store @ a_50 @ i6 @ e_53 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,axiom,
( e_57
= ( select @ a_52 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
thf(86,plain,
( e_57
= ( select @ a_52 @ i7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(23,axiom,
( e_49
= ( select @ a_44 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
thf(81,plain,
( e_49
= ( select @ a_44 @ i5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(2,axiom,
a_56 = a_58,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).
thf(39,plain,
a_56 = a_58,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(31,axiom,
( e_35
= ( select @ a_34 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(98,plain,
( e_35
= ( select @ a_34 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(1,negated_conjecture,
e_60 != e_61,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(36,plain,
e_60 != e_61,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
( a_46
= ( store @ a_42 @ i4 @ e_45 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(51,plain,
( a_46
= ( store @ a_42 @ i4 @ e_45 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(22,axiom,
( e_41
= ( select @ a_36 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(79,plain,
( e_41
= ( select @ a_36 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(29,axiom,
( e_51
= ( select @ a_50 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
thf(94,plain,
( e_51
= ( select @ a_50 @ i6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(27,axiom,
( e_31
= ( select @ a2 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(90,plain,
( e_31
= ( select @ a2 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(24,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(83,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)],[24]) ).
thf(32,axiom,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(132,plain,
$false,
inference(cvc4,[status(thm)],[57,106,61,102,53,41,73,45,59,63,67,43,104,55,75,47,69,88,92,65,77,96,71,49,86,81,39,98,36,51,79,94,90,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV555-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 19 02:31:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.85/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.08/0.99 % [INFO] Parsing done (133ms).
% 1.08/1.00 % [INFO] Running in sequential loop mode.
% 1.69/1.19 % [INFO] eprover registered as external prover.
% 1.69/1.19 % [INFO] cvc4 registered as external prover.
% 1.69/1.20 % [INFO] Scanning for conjecture ...
% 1.82/1.25 % [INFO] Found a conjecture and 34 axioms. Running axiom selection ...
% 1.82/1.29 % [INFO] Axiom selection finished. Selected 34 axioms (removed 0 axioms).
% 1.82/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 2.08/1.32 % [INFO] Type checking passed.
% 2.08/1.33 % [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 ...
% 3.81/1.85 % External prover 'cvc4' found a proof!
% 3.81/1.85 % [INFO] Killing All external provers ...
% 3.81/1.85 % Time passed: 1334ms (effective reasoning time: 851ms)
% 3.81/1.85 % 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)>
% 3.81/1.85 % Axioms used in derivation (34): hyp2, hyp7, hyp16, hyp20, hyp3, hyp25, hyp0, hyp29, hyp23, hyp4, hyp5, hyp30, hyp9, hyp18, hyp8, hyp21, hyp10, hyp19, hyp24, hyp15, hyp28, hyp13, hyp12, hyp31, hyp17, hyp26, hyp1, hyp11, hyp22, a1, hyp14, hyp6, a2, hyp27
% 3.81/1.85 % No. of inferences in proof: 71
% 3.81/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1334 ms resp. 851 ms w/o parsing
% 3.81/1.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.81/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------