TSTP Solution File: SWV558-1.007 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 12:17:13 EDT 2023
% Result : Unsatisfiable 3.21s 1.79s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 74
% Syntax : Number of formulae : 110 ( 67 unt; 39 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 : 5 ( 5 >; 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_type,type,
a1: $i ).
thf(a2_type,type,
a2: $i ).
thf(a_53_type,type,
a_53: $i ).
thf(a_55_type,type,
a_55: $i ).
thf(store_type,type,
store: $i > $i > $i > $i ).
thf(a_49_type,type,
a_49: $i ).
thf(i7_type,type,
i7: $i ).
thf(e_52_type,type,
e_52: $i ).
thf(a_45_type,type,
a_45: $i ).
thf(i6_type,type,
i6: $i ).
thf(e_48_type,type,
e_48: $i ).
thf(e_34_type,type,
e_34: $i ).
thf(select_type,type,
select: $i > $i > $i ).
thf(a_29_type,type,
a_29: $i ).
thf(i2_type,type,
i2: $i ).
thf(e_36_type,type,
e_36: $i ).
thf(a_35_type,type,
a_35: $i ).
thf(i3_type,type,
i3: $i ).
thf(e_38_type,type,
e_38: $i ).
thf(a_33_type,type,
a_33: $i ).
thf(e_46_type,type,
e_46: $i ).
thf(a_41_type,type,
a_41: $i ).
thf(i5_type,type,
i5: $i ).
thf(e_42_type,type,
e_42: $i ).
thf(a_37_type,type,
a_37: $i ).
thf(i4_type,type,
i4: $i ).
thf(e_54_type,type,
e_54: $i ).
thf(e_44_type,type,
e_44: $i ).
thf(e_32_type,type,
e_32: $i ).
thf(a_31_type,type,
a_31: $i ).
thf(a_47_type,type,
a_47: $i ).
thf(a_43_type,type,
a_43: $i ).
thf(a_51_type,type,
a_51: $i ).
thf(e_40_type,type,
e_40: $i ).
thf(a_39_type,type,
a_39: $i ).
thf(e_50_type,type,
e_50: $i ).
thf(i1_type,type,
i1: $i ).
thf(e_30_type,type,
e_30: $i ).
thf(e_28_type,type,
e_28: $i ).
thf(10,axiom,
( e_46
= ( select @ a_41 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
thf(56,plain,
( e_46
= ( select @ a_41 @ i5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,axiom,
( e_36
= ( select @ a_35 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(52,plain,
( e_36
= ( select @ a_35 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,axiom,
( a_39
= ( store @ a_35 @ i3 @ e_38 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(78,plain,
( a_39
= ( store @ a_35 @ i3 @ e_38 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,axiom,
( a_41
= ( store @ a_37 @ i4 @ e_40 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(84,plain,
( a_41
= ( store @ a_37 @ i4 @ e_40 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(19,axiom,
( a_33
= ( store @ a_29 @ i2 @ e_32 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(74,plain,
( a_33
= ( store @ a_29 @ i2 @ e_32 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ C ) @ B @ D )
= ( store @ A @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ C ) @ B @ D )
= ( store @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,axiom,
( a_47
= ( store @ a_43 @ i5 @ e_46 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(70,plain,
( a_47
= ( store @ a_43 @ i5 @ e_46 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(28,axiom,
( e_50
= ( select @ a_45 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
thf(92,plain,
( e_50
= ( select @ a_45 @ i6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(96,plain,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(3,axiom,
( a_53
= ( store @ a_49 @ i7 @ e_52 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(41,plain,
( a_53
= ( store @ a_49 @ i7 @ e_52 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(34,axiom,
( a_29
= ( store @ a1 @ i1 @ e_28 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(105,plain,
( a_29
= ( store @ a1 @ i1 @ e_28 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(22,axiom,
( a_55
= ( store @ a_51 @ i7 @ e_54 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(80,plain,
( a_55
= ( store @ a_51 @ i7 @ e_54 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( store @ A @ B @ ( select @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( store @ A @ B @ ( select @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(36,plain,
a1 != a2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(27,axiom,
( e_48
= ( select @ a_47 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
thf(90,plain,
( e_48
= ( select @ a_47 @ i6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(32,axiom,
( a_31
= ( store @ a2 @ i1 @ e_30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(101,plain,
( a_31
= ( store @ a2 @ i1 @ e_30 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(26,axiom,
( e_44
= ( select @ a_43 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
thf(88,plain,
( e_44
= ( select @ a_43 @ i5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(5,axiom,
( e_34
= ( select @ a_29 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(45,plain,
( e_34
= ( select @ a_29 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,axiom,
( a_37
= ( store @ a_33 @ i3 @ e_36 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(64,plain,
( a_37
= ( store @ a_33 @ i3 @ e_36 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
( e_38
= ( select @ a_33 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(54,plain,
( e_38
= ( select @ a_33 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,axiom,
( a_51
= ( store @ a_47 @ i6 @ e_50 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(86,plain,
( a_51
= ( store @ a_47 @ i6 @ e_50 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,axiom,
( e_40
= ( select @ a_39 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
thf(76,plain,
( e_40
= ( select @ a_39 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(2,axiom,
a_53 = a_55,
file('/export/starexec/sandbox/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] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(98,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)],[31]) ).
thf(33,axiom,
( e_28
= ( select @ a2 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(103,plain,
( e_28
= ( select @ a2 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,axiom,
( a_45
= ( store @ a_41 @ i5 @ e_44 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(66,plain,
( a_45
= ( store @ a_41 @ i5 @ e_44 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,axiom,
( e_52
= ( select @ a_51 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
thf(72,plain,
( e_52
= ( select @ a_51 @ i7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,axiom,
( a_49
= ( store @ a_45 @ i6 @ e_48 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(43,plain,
( a_49
= ( store @ a_45 @ i6 @ e_48 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
( e_42
= ( select @ a_37 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
thf(58,plain,
( e_42
= ( select @ a_37 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(23,axiom,
( a_35
= ( store @ a_31 @ i2 @ e_34 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(82,plain,
( a_35
= ( store @ a_31 @ i2 @ e_34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,axiom,
( e_30
= ( select @ a1 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(107,plain,
( e_30
= ( select @ a1 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(29,axiom,
( a_43
= ( store @ a_39 @ i4 @ e_42 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(94,plain,
( a_43
= ( store @ a_39 @ i4 @ e_42 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(6,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( store @ ( store @ C @ A @ D ) @ B @ E )
= ( store @ ( store @ C @ B @ E ) @ A @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
thf(47,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( store @ ( store @ C @ A @ D ) @ B @ E )
= ( store @ ( store @ C @ B @ E ) @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
( e_32
= ( select @ a_31 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(68,plain,
( e_32
= ( select @ a_31 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
( e_54
= ( select @ a_49 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
thf(62,plain,
( e_54
= ( select @ a_49 @ i7 ) ),
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
% 0.06/0.12 % Problem : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 02:26:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.94/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.03 % [INFO] Parsing done (137ms).
% 1.23/1.04 % [INFO] Running in sequential loop mode.
% 1.77/1.24 % [INFO] eprover registered as external prover.
% 1.77/1.24 % [INFO] cvc4 registered as external prover.
% 1.77/1.24 % [INFO] Scanning for conjecture ...
% 1.86/1.30 % [INFO] Found a conjecture and 34 axioms. Running axiom selection ...
% 2.05/1.34 % [INFO] Axiom selection finished. Selected 34 axioms (removed 0 axioms).
% 2.17/1.37 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/1.37 % [INFO] Type checking passed.
% 2.17/1.38 % [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 ...
% 3.21/1.79 % External prover 'e' found a proof!
% 3.21/1.79 % [INFO] Killing All external provers ...
% 3.21/1.79 % Time passed: 1269ms (effective reasoning time: 749ms)
% 3.21/1.79 % 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)>
% 3.21/1.79 % 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
% 3.21/1.79 % No. of inferences in proof: 71
% 3.21/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1269 ms resp. 749 ms w/o parsing
% 3.44/1.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.44/1.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------