%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR035+1 : TPTP v9.3.1. Released v3.4.0.
% 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 : n002.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 07:00:11 AM UTC 2026
% Result : Theorem 4.41s 2.52s
% Output : Refutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 48 ( 13 unt; 0 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 : 0 ( 0 >; 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_decl,type,
mtvisible: $i > $o ).
thf(c_englishmt_decl,type,
c_englishmt: $i ).
thf(prettystring_decl,type,
prettystring: $i > $i > $o ).
thf(f_instancewithrelationtofn_decl,type,
f_instancewithrelationtofn: $i > $i > $i > $i ).
thf(c_footballteam_decl,type,
c_footballteam: $i ).
thf(c_affiliatedwith_decl,type,
c_affiliatedwith: $i ).
thf(c_beloitcollege_decl,type,
c_beloitcollege: $i ).
thf(disjointwith_decl,type,
disjointwith: $i > $i > $o ).
thf(genls_decl,type,
genls: $i > $i > $o ).
thf(collection_decl,type,
collection: $i > $o ).
thf(isa_decl,type,
isa: $i > $i > $o ).
thf(thing_decl,type,
thing: $i > $o ).
thf(natargument_decl,type,
natargument: $i > $i > $i > $o ).
thf(n_1_decl,type,
n_1: $i ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(footballteam_decl,type,
footballteam: $i > $o ).
thf(n_3_decl,type,
n_3: $i ).
thf(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege_decl,type,
s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege: $i ).
thf(controlcharacterfreestring_decl,type,
controlcharacterfreestring: $i > $o ).
thf(natfunction_decl,type,
natfunction: $i > $i > $o ).
thf(c_instancewithrelationtofn_decl,type,
c_instancewithrelationtofn: $i ).
thf(n_2_decl,type,
n_2: $i ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ prettystring ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).
thf(69,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ prettystring ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] : ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ thing ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).
thf(56,plain,
! [A: $i,B: $i,C: $i] : ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ thing ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(1,conjecture,
? [A: $i] :
( ( c_englishmt @ mtvisible )
=> ( A @ ( c_beloitcollege @ ( c_affiliatedwith @ ( c_footballteam @ f_instancewithrelationtofn ) ) @ prettystring ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query35) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( c_englishmt @ mtvisible )
=> ( A @ ( c_beloitcollege @ ( c_affiliatedwith @ ( c_footballteam @ f_instancewithrelationtofn ) ) @ prettystring ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(25,plain,
~ ? [A: $i] :
( ( c_englishmt @ mtvisible )
=> ( A @ ( c_beloitcollege @ ( c_affiliatedwith @ ( c_footballteam @ f_instancewithrelationtofn ) ) @ prettystring ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).
thf(60,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ footballteam )
=> ( c_footballteam @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(65,plain,
! [A: $i] :
( ( A @ footballteam )
=> ( c_footballteam @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).
thf(53,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).
thf(41,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] : ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
thf(58,plain,
! [A: $i,B: $i,C: $i] : ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(17,axiom,
! [A: $i] :
( ( c_footballteam @ ( A @ isa ) )
=> ( A @ footballteam ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).
thf(61,plain,
! [A: $i] :
( ( c_footballteam @ ( A @ isa ) )
=> ( A @ footballteam ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] : ( c_instancewithrelationtofn @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natfunction ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(74,plain,
! [A: $i,B: $i,C: $i] : ( c_instancewithrelationtofn @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natfunction ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).
thf(45,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).
thf(34,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] : ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] : ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
thf(39,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] : ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(63,plain,
! [A: $i,B: $i,C: $i] : ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_instancewithrelationtofn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(50,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(20,axiom,
( ( c_englishmt @ mtvisible )
=> ( s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege @ ( c_beloitcollege @ ( c_affiliatedwith @ ( c_footballteam @ f_instancewithrelationtofn ) ) @ prettystring ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
thf(67,plain,
( ( c_englishmt @ mtvisible )
=> ( s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege @ ( c_beloitcollege @ ( c_affiliatedwith @ ( c_footballteam @ f_instancewithrelationtofn ) ) @ prettystring ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ prettystring ) )
=> ( B @ controlcharacterfreestring ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
thf(72,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ prettystring ) )
=> ( B @ controlcharacterfreestring ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).
thf(43,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
thf(36,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).
thf(30,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(78,plain,
$false,
inference(e,[status(thm)],[69,56,25,60,65,53,41,58,61,74,45,32,34,76,39,48,63,50,67,72,43,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % 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
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 00:07:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 0.89/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.47/1.20 % [INFO] Parsing done (216ms).
% 1.47/1.22 % [INFO] Running in sequential loop mode.
% 2.20/1.63 % [INFO] eprover registered as external prover.
% 2.20/1.64 % [INFO] Scanning for conjecture ...
% 2.40/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 38 axioms. Running axiom selection ...
% 2.57/1.82 % [INFO] Axiom selection finished. Selected 22 axioms (removed 16 axioms).
% 2.57/1.86 % [INFO] Problem is first-order (TPTP FOF).
% 2.57/1.87 % [INFO] Type checking passed.
% 2.57/1.88 % [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 ...
% 4.41/2.51 % External prover 'e' found a proof!
% 4.41/2.51 % [INFO] Killing All external provers ...
% 4.41/2.51 % Time passed: 1983ms (effective reasoning time: 1288ms)
% 4.41/2.51 % 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)>
% 4.41/2.52 % 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
% 4.41/2.52 % No. of inferences in proof: 48
% 4.41/2.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1983 ms resp. 1288 ms w/o parsing
% 4.41/2.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.41/2.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------