TSTP Solution File: CSR035+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR035+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 : Tue May 7 07:30:52 EDT 2024
% Result : Theorem 3.35s 1.79s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 45
% Syntax : Number of formulae : 70 ( 13 unt; 22 typ; 0 def)
% Number of atoms : 91 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 249 ( 4 ~; 0 |; 10 &; 202 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 97 ( 0 ^ 94 !; 3 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_englishmt_type,type,
c_englishmt: $i ).
thf(prettystring_type,type,
prettystring: $i > $i > $o ).
thf(f_instancewithrelationtofn_type,type,
f_instancewithrelationtofn: $i > $i > $i > $i ).
thf(c_footballteam_type,type,
c_footballteam: $i ).
thf(c_affiliatedwith_type,type,
c_affiliatedwith: $i ).
thf(c_beloitcollege_type,type,
c_beloitcollege: $i ).
thf(disjointwith_type,type,
disjointwith: $i > $i > $o ).
thf(genls_type,type,
genls: $i > $i > $o ).
thf(collection_type,type,
collection: $i > $o ).
thf(isa_type,type,
isa: $i > $i > $o ).
thf(thing_type,type,
thing: $i > $o ).
thf(natargument_type,type,
natargument: $i > $i > $i > $o ).
thf(n_1_type,type,
n_1: $i ).
thf(c_basekb_type,type,
c_basekb: $i ).
thf(footballteam_type,type,
footballteam: $i > $o ).
thf(n_3_type,type,
n_3: $i ).
thf(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege_type,type,
s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege: $i ).
thf(controlcharacterfreestring_type,type,
controlcharacterfreestring: $i > $o ).
thf(natfunction_type,type,
natfunction: $i > $i > $o ).
thf(c_instancewithrelationtofn_type,type,
c_instancewithrelationtofn: $i ).
thf(n_2_type,type,
n_2: $i ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just22) ).
thf(52,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(17,axiom,
! [A: $i] :
( ( isa @ A @ c_footballteam )
=> ( footballteam @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
thf(60,plain,
! [A: $i] :
( ( isa @ A @ c_footballteam )
=> ( footballteam @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] : ( natfunction @ ( f_instancewithrelationtofn @ A @ B @ C ) @ c_instancewithrelationtofn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(73,plain,
! [A: $i,B: $i,C: $i] : ( natfunction @ ( f_instancewithrelationtofn @ A @ B @ C ) @ c_instancewithrelationtofn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(19,axiom,
! [A: $i] :
( ( footballteam @ A )
=> ( isa @ A @ c_footballteam ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
thf(64,plain,
! [A: $i] :
( ( footballteam @ A )
=> ( isa @ A @ c_footballteam ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,axiom,
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(66,plain,
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).
thf(35,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
thf(31,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_instancewithrelationtofn @ A @ B @ C ) @ n_2 @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(75,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_instancewithrelationtofn @ A @ B @ C ) @ n_2 @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just20) ).
thf(42,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
? [A: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query35) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(25,plain,
~ ? [A: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_instancewithrelationtofn @ A @ B @ C ) @ n_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
thf(57,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_instancewithrelationtofn @ A @ B @ C ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ A ) )
=> ( disjointwith @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
thf(29,plain,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ A ) )
=> ( disjointwith @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
thf(38,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just18) ).
thf(33,plain,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
thf(59,plain,
mtvisible @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( prettystring @ A @ B )
=> ( controlcharacterfreestring @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(71,plain,
! [A: $i,B: $i] :
( ( prettystring @ A @ B )
=> ( controlcharacterfreestring @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
thf(49,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).
thf(40,plain,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] : ( thing @ ( f_instancewithrelationtofn @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(55,plain,
! [A: $i,B: $i,C: $i] : ( thing @ ( f_instancewithrelationtofn @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
thf(47,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( prettystring @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(68,plain,
! [A: $i,B: $i] :
( ( prettystring @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_instancewithrelationtofn @ A @ B @ C ) @ n_3 @ C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(62,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_instancewithrelationtofn @ A @ B @ C ) @ n_3 @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(77,plain,
$false,
inference(e,[status(thm)],[52,60,73,64,66,35,31,75,42,25,57,29,38,33,44,59,71,49,40,55,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR035+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 15:40:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.01/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/1.01 % [INFO] Parsing done (141ms).
% 1.16/1.02 % [INFO] Running in sequential loop mode.
% 1.95/1.26 % [INFO] eprover registered as external prover.
% 1.95/1.26 % [INFO] cvc4 registered as external prover.
% 1.95/1.27 % [INFO] Scanning for conjecture ...
% 2.10/1.33 % [INFO] Found a conjecture and 38 axioms. Running axiom selection ...
% 2.27/1.37 % [INFO] Axiom selection finished. Selected 22 axioms (removed 16 axioms).
% 2.27/1.40 % [INFO] Problem is first-order (TPTP FOF).
% 2.27/1.41 % [INFO] Type checking passed.
% 2.27/1.41 % [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 ...
% 3.35/1.78 % External prover 'e' found a proof!
% 3.35/1.78 % [INFO] Killing All external provers ...
% 3.35/1.78 % Time passed: 1244ms (effective reasoning time: 756ms)
% 3.35/1.78 % 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)>
% 3.35/1.79 % Axioms used in derivation (22): just36, just15, just35, just16, just31, just24, just30, just32, just33, just2, just21, just17, just23, just22, just34, just19, just1, just38, just37, just18, just25, just20
% 3.35/1.79 % No. of inferences in proof: 48
% 3.35/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1244 ms resp. 756 ms w/o parsing
% 3.56/1.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.56/1.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------