%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC001-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n026.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 08:03:09 AM UTC 2026
% Result : Unsatisfiable 4.19s 2.75s
% Output : Refutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of formulae : 37 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 340 ( 42 ~; 36 |; 0 &; 262 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 78 ( 0 ^; 78 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(answer_decl,type,
answer: $i > $o ).
thf(hold_decl,type,
hold: $i > $i > $o ).
thf(thing_decl,type,
thing: $i > $i ).
thf(do_decl,type,
do: $i > $i > $i ).
thf(let_go_decl,type,
let_go: $i ).
thf(go_decl,type,
go: $i > $i ).
thf(at_decl,type,
at: $i > $i > $i > $o ).
thf(hand_decl,type,
hand: $i ).
thf(there_decl,type,
there: $i ).
thf(here_decl,type,
here: $i ).
thf(pick_up_decl,type,
pick_up: $i ).
thf(s_decl,type,
s: $i ).
thf(now_decl,type,
now: $i ).
thf(taken_decl,type,
taken: $i > $i ).
thf(red_decl,type,
red: $i > $o ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( here @ ( A @ at ) ) )
| ~ ( B @ ( there @ ( A @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(29,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( here @ ( A @ at ) ) )
| ~ ( B @ ( there @ ( A @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( pick_up @ do ) @ ( B @ taken @ thing @ hold ) )
| ~ ( B @ ( A @ ( C @ thing @ at ) ) )
| ~ ( B @ ( A @ ( hand @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( pick_up @ do ) @ ( B @ taken @ thing @ hold ) )
| ~ ( B @ ( A @ ( C @ thing @ at ) ) )
| ~ ( B @ ( A @ ( hand @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ thing @ at ) ) )
| ~ ( B @ ( C @ ( hand @ at ) ) )
| ~ ( B @ ( A @ thing @ hold ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ thing @ at ) ) )
| ~ ( B @ ( C @ ( hand @ at ) ) )
| ~ ( B @ ( A @ thing @ hold ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,axiom,
~ ( hand @ red ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(49,plain,
~ ( hand @ red ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(11,axiom,
now @ ( here @ ( s @ thing @ at ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(39,plain,
now @ ( here @ ( s @ thing @ at ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ at ) ) )
| ~ ( C @ ( let_go @ do ) @ ( B @ ( A @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ at ) ) )
| ~ ( C @ ( let_go @ do ) @ ( B @ ( A @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( let_go @ do ) @ ( B @ ( A @ at ) ) )
| ~ ( C @ ( B @ ( A @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( let_go @ do ) @ ( B @ ( A @ at ) ) )
| ~ ( C @ ( B @ ( A @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ go @ do ) @ ( B @ ( A @ thing @ at ) ) )
| ~ ( C @ ( B @ ( A @ thing @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ go @ do ) @ ( B @ ( A @ thing @ at ) ) )
| ~ ( C @ ( B @ ( A @ thing @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ red )
| ~ ( now @ ( here @ ( A @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',things_here_now_are_red) ).
thf(47,plain,
! [A: $i] :
( ( A @ red )
| ~ ( now @ ( here @ ( A @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
! [B: $i,A: $i] : ( B @ ( A @ go @ do ) @ ( A @ ( hand @ at ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(42,plain,
! [B: $i,A: $i] : ( B @ ( A @ go @ do ) @ ( A @ ( hand @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( pick_up @ do ) @ ( B @ ( A @ at ) ) )
| ~ ( C @ ( B @ ( A @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( pick_up @ do ) @ ( B @ ( A @ at ) ) )
| ~ ( C @ ( B @ ( A @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ thing @ hold ) )
| ( C @ ( B @ ( A @ thing @ at ) ) )
| ~ ( C @ ( B @ go @ do ) @ ( B @ ( A @ thing @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ thing @ hold ) )
| ( C @ ( B @ ( A @ thing @ at ) ) )
| ~ ( C @ ( B @ go @ do ) @ ( B @ ( A @ thing @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [B: $i,A: $i] :
~ ( B @ ( let_go @ do ) @ ( A @ thing @ hold ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(21,plain,
! [B: $i,A: $i] :
~ ( B @ ( let_go @ do ) @ ( A @ thing @ hold ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( hand @ at ) ) )
| ~ ( B @ ( C @ ( A @ thing @ at ) ) )
| ~ ( B @ ( A @ thing @ hold ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( hand @ at ) ) )
| ~ ( B @ ( C @ ( A @ thing @ at ) ) )
| ~ ( B @ ( A @ thing @ hold ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ taken @ thing @ at ) ) )
| ~ ( B @ ( A @ ( hand @ at ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ taken @ thing @ at ) ) )
| ~ ( B @ ( A @ ( hand @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ go @ do ) @ ( A @ thing @ hold ) )
| ~ ( B @ ( A @ thing @ hold ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ go @ do ) @ ( A @ thing @ hold ) )
| ~ ( B @ ( A @ thing @ hold ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( B @ answer )
| ~ ( B @ ( there @ ( A @ at ) ) )
| ~ ( A @ red ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( B @ answer )
| ~ ( B @ ( there @ ( A @ at ) ) )
| ~ ( A @ red ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ answer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_red_thing) ).
thf(19,plain,
! [A: $i] :
~ ( A @ answer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(53,plain,
$false,
inference(e,[status(thm)],[29,45,27,49,39,35,31,43,47,42,37,25,21,33,40,23,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % 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
% 0.14/0.40 % Computer : n026.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 00:17:25 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 1.34/1.21 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.71/1.50 % [INFO] Parsing done (284ms).
% 1.92/1.52 % [INFO] Running in sequential loop mode.
% 2.55/1.99 % [INFO] eprover registered as external prover.
% 2.55/2.00 % [INFO] Scanning for conjecture ...
% 2.79/2.09 % [INFO] Found a conjecture (or negated_conjecture) and 17 axioms. Running axiom selection ...
% 2.94/2.15 % [INFO] Axiom selection finished. Selected 17 axioms (removed 0 axioms).
% 2.94/2.18 % [INFO] Problem is propositional (TPTP CNF).
% 2.94/2.19 % [INFO] Type checking passed.
% 2.94/2.19 % [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 ...
% 4.19/2.75 % External prover 'e' found a proof!
% 4.19/2.75 % [INFO] Killing All external provers ...
% 4.19/2.75 % Time passed: 2160ms (effective reasoning time: 1216ms)
% 4.19/2.75 % Axioms used in derivation (17): clause_5, clause_16, clause_1, clause_9, clause_14, clause_13, clause_6, clause_12, clause_17, clause_2, things_here_now_are_red, clause_8, clause_15, clause_7, clause_10, clause_11, clause_3
% 4.19/2.75 % No. of inferences in proof: 37
% 4.19/2.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2160 ms resp. 1216 ms w/o parsing
% 4.55/2.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.55/2.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------