%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR031+3 : 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 10.70s 4.35s
% Output : Refutation 11.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 103 ( 9 ~; 0 |; 4 &; 74 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% 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(collection_decl,type,
collection: $i > $o ).
thf(individual_decl,type,
individual: $i > $o ).
thf(no_decl,type,
no: $i > $i > $o ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2628) ).
thf(27,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query131) ).
thf(2,negated_conjecture,
~ ~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7583) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ ( A @ no ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_374) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ ( A @ no ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
~ ( ( A @ individual )
& ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3226) ).
thf(20,plain,
! [A: $i] :
~ ( ( A @ individual )
& ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
c_tptptptpcol_16_8398 @ individual,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2816) ).
thf(29,plain,
c_tptptptpcol_16_8398 @ individual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i] :
~ ( ( A @ individual )
& ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3089) ).
thf(17,plain,
! [A: $i] :
~ ( ( A @ individual )
& ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7582) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2921) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ ( A @ no ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1969) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ ( A @ no ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ no ) )
=> ( A @ ( B @ no ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7901) ).
thf(23,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ no ) )
=> ( A @ ( B @ no ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
c_tptptptpcol_16_8398 @ individual,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_781) ).
thf(36,plain,
c_tptptptpcol_16_8398 @ individual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7584) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(46,plain,
$false,
inference(e,[status(thm)],[27,15,37,25,20,29,17,32,34,40,23,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR031+3 : 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
% 0.13/0.40 % Computer : n014.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 00:01:32 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 1.32/1.24 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 4.71/2.37 % [INFO] Parsing done (1126ms).
% 4.71/2.40 % [INFO] Running in sequential loop mode.
% 6.00/2.96 % [INFO] eprover registered as external prover.
% 6.00/2.97 % [INFO] Scanning for conjecture ...
% 7.63/3.47 % [INFO] Found a conjecture (or negated_conjecture) and 8005 axioms. Running axiom selection ...
% 8.55/3.61 % [INFO] Axiom selection finished. Selected 12 axioms (removed 7993 axioms).
% 8.55/3.65 % [INFO] Problem is first-order (TPTP FOF).
% 8.55/3.66 % [INFO] Type checking passed.
% 8.55/3.67 % [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 ...
% 10.70/4.35 % External prover 'e' found a proof!
% 10.70/4.35 % [INFO] Killing All external provers ...
% 10.70/4.35 % Time passed: 3742ms (effective reasoning time: 1945ms)
% 10.70/4.35 % 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)>
% 10.70/4.35 % Axioms used in derivation (12): ax2_3089, ax2_781, ax2_2628, ax2_2921, ax2_3226, ax2_1969, ax2_7901, ax2_7583, ax2_7584, ax2_2816, ax2_7582, ax2_374
% 10.70/4.35 % No. of inferences in proof: 28
% 10.70/4.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3742 ms resp. 1945 ms w/o parsing
% 11.01/4.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.01/4.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------