%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR031+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 : n014.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 07:00:08 AM UTC 2026
% Result : Theorem 6.00s 3.74s
% Output : Refutation 6.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 29
% Syntax : Number of formulae : 60 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 122 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 277 ( 11 ~; 0 |; 20 &; 204 @)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 96 ( 0 ^; 96 !; 0 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf(disjointwith_decl,type,
disjointwith: $i > $i > $o ).
thf(c_tptptptpcol_16_8398_decl,type,
c_tptptptpcol_16_8398: $i ).
thf(c_tptpcol_16_18488_decl,type,
c_tptpcol_16_18488: $i ).
thf(transitivebinarypredicate_decl,type,
transitivebinarypredicate: $i > $o ).
thf(c_genlmt_decl,type,
c_genlmt: $i ).
thf(arg2isa_decl,type,
arg2isa: $i > $i > $o ).
thf(relation_decl,type,
relation: $i > $o ).
thf(collection_decl,type,
collection: $i > $o ).
thf(individual_decl,type,
individual: $i > $o ).
thf(isa_decl,type,
isa: $i > $i > $o ).
thf(c_individual_decl,type,
c_individual: $i ).
thf(c_disjointwith_decl,type,
c_disjointwith: $i ).
thf(c_collection_decl,type,
c_collection: $i ).
thf(thing_decl,type,
thing: $i > $o ).
thf(genls_decl,type,
genls: $i > $i > $o ).
thf(c_transitivebinarypredicate_decl,type,
c_transitivebinarypredicate: $i ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).
thf(69,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg2isa ) ) )
=> ( C @ ( A @ arg2isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
thf(56,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg2isa ) ) )
=> ( C @ ( A @ arg2isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ arg2isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ arg2isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).
thf(52,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
thf(89,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(3,axiom,
c_genlmt @ transitivebinarypredicate,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(33,plain,
c_genlmt @ transitivebinarypredicate,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).
thf(77,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(7,axiom,
! [A: $i] :
~ ( ( A @ individual )
& ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).
thf(41,plain,
! [A: $i] :
~ ( ( A @ individual )
& ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
c_collection @ ( c_disjointwith @ arg2isa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
thf(44,plain,
c_collection @ ( c_disjointwith @ arg2isa ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ individual )
=> ( c_individual @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).
thf(39,plain,
! [A: $i] :
( ( A @ individual )
=> ( c_individual @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).
thf(66,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
thf(80,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(10,axiom,
! [A: $i] :
( ( c_individual @ ( A @ isa ) )
=> ( A @ individual ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
thf(48,plain,
! [A: $i] :
( ( c_individual @ ( A @ isa ) )
=> ( A @ individual ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(72,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
thf(87,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(25,axiom,
c_individual @ ( c_collection @ disjointwith ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
thf(79,plain,
c_individual @ ( c_collection @ disjointwith ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(17,axiom,
! [A: $i] :
( ( c_collection @ ( A @ isa ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(62,plain,
! [A: $i] :
( ( c_collection @ ( A @ isa ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(83,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg2isa ) ) )
=> ( C @ ( A @ arg2isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
thf(60,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg2isa ) ) )
=> ( C @ ( A @ arg2isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
thf(85,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ arg2isa ) )
=> ( A @ relation ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ arg2isa ) )
=> ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).
thf(45,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(18,axiom,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).
thf(64,plain,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(21,axiom,
c_tptptptpcol_16_8398 @ individual,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
thf(71,plain,
c_tptptptpcol_16_8398 @ individual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ collection )
=> ( c_collection @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(54,plain,
! [A: $i] :
( ( A @ collection )
=> ( c_collection @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
thf(50,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query31) ).
thf(2,negated_conjecture,
~ ~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(31,plain,
~ ~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).
thf(58,plain,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(92,plain,
$false,
inference(e,[status(thm)],[69,56,37,52,89,33,77,41,44,39,66,80,48,72,87,79,62,83,60,85,34,45,64,71,54,50,31,75,58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.26/0.72 % Computer : n014.cluster.edu
% 0.26/0.72 % Model : x86_64 x86_64
% 0.26/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.72 % Memory : 8046.5625MB
% 0.26/0.72 % OS : Linux 6.8.0-71-generic
% 0.26/0.72 % CPULimit : 300
% 0.26/0.72 % WCLimit : 300
% 0.26/0.72 % DateTime : Sun Sep 27 00:01:49 UTC 2026
% 0.26/0.72 % CPUTime :
% 0.26/0.72 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
% 1.43/1.55 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.96/1.87 % [INFO] Parsing done (321ms).
% 1.96/1.89 % [INFO] Running in sequential loop mode.
% 3.33/2.50 % [INFO] eprover registered as external prover.
% 3.33/2.51 % [INFO] Scanning for conjecture ...
% 3.52/2.65 % [INFO] Found a conjecture (or negated_conjecture) and 55 axioms. Running axiom selection ...
% 3.66/2.74 % [INFO] Axiom selection finished. Selected 28 axioms (removed 27 axioms).
% 3.86/2.82 % [INFO] Problem is first-order (TPTP FOF).
% 3.86/2.83 % [INFO] Type checking passed.
% 3.86/2.84 % [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 ...
% 6.00/3.74 % External prover 'e' found a proof!
% 6.00/3.74 % [INFO] Killing All external provers ...
% 6.00/3.74 % Time passed: 2808ms (effective reasoning time: 1834ms)
% 6.00/3.74 % 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)>
% 6.00/3.74 % Axioms used in derivation (28): just36, just43, just10, just16, just11, just31, just13, just29, just37, just33, just15, just40, just4, just35, just42, just7, just34, just45, just6, just30, just41, just32, just39, just5, just2, just44, just14, just9
% 6.00/3.74 % No. of inferences in proof: 60
% 6.00/3.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2808 ms resp. 1834 ms w/o parsing
% 6.39/3.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.39/3.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------