%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% 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 07:32:04 AM UTC 2026
% Result : Unsatisfiable 3.36s 12.57s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 96 ( 6 ~; 4 |; 0 &; 86 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(output_decl,type,
output: $i > $i > $i > $i > $o ).
thf(nand_decl,type,
nand: $i > $i > $i ).
thf(n0_decl,type,
n0: $i ).
thf(n1_decl,type,
n1: $i ).
thf(not_decl,type,
not: $i > $i ).
thf(and_decl,type,
and: $i > $i > $i ).
thf(1,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( D @ nand ) @ ( G @ ( C @ nand ) @ ( F @ ( B @ nand ) @ ( E @ ( A @ nand ) @ output ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ output ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ output ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nand_table_definition) ).
thf(10,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( D @ nand ) @ ( G @ ( C @ nand ) @ ( F @ ( B @ nand ) @ ( E @ ( A @ nand ) @ output ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ output ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ output ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
( ( n1 @ not )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition2) ).
thf(24,plain,
( ( n1 @ not )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i] :
( ( n1 @ ( A @ and ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition2) ).
thf(20,plain,
! [A: $i] :
( ( n1 @ ( A @ and ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,negated_conjecture,
~ ( n1 @ ( n1 @ ( n1 @ ( n0 @ output ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cannot_make_or) ).
thf(13,plain,
~ ( n1 @ ( n1 @ ( n1 @ ( n0 @ output ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
( ( n0 @ not )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition1) ).
thf(22,plain,
( ( n0 @ not )
= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,negated_conjecture,
n1 @ ( n0 @ ( n1 @ ( n0 @ output ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',input2) ).
thf(12,plain,
n1 @ ( n0 @ ( n1 @ ( n0 @ output ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i] :
( ( n0 @ ( A @ and ) )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition1) ).
thf(18,plain,
! [A: $i] :
( ( n0 @ ( A @ and ) )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ nand ) )
= ( B @ ( A @ and ) @ not ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nand_definition) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ nand ) )
= ( B @ ( A @ and ) @ not ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
n1 @ ( n1 @ ( n0 @ ( n0 @ output ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',input1) ).
thf(11,plain,
n1 @ ( n1 @ ( n0 @ ( n0 @ output ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(30,plain,
$false,
inference(e,[status(thm)],[10,24,20,13,22,12,18,16,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% 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
% 0.14/10.63 % Computer : n014.cluster.edu
% 0.14/10.63 % Model : x86_64 x86_64
% 0.14/10.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.63 % Memory : 8046.5625MB
% 0.14/10.63 % OS : Linux 6.8.0-71-generic
% 0.14/10.63 % CPULimit : 300
% 0.14/10.63 % WCLimit : 300
% 0.14/10.63 % DateTime : Fri Sep 25 15:58:45 UTC 2026
% 0.14/10.64 % CPUTime :
% 0.14/10.64 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
% 0.98/11.23 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.33/11.42 % [INFO] Parsing done (185ms).
% 1.33/11.43 % [INFO] Running in sequential loop mode.
% 1.92/11.84 % [INFO] eprover registered as external prover.
% 1.92/11.85 % [INFO] Scanning for conjecture ...
% 2.13/11.95 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.13/12.00 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.13/12.01 % [INFO] Problem is propositional (TPTP CNF).
% 2.13/12.01 % [INFO] Type checking passed.
% 2.13/12.01 % [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 ...
% 3.36/12.56 % External prover 'e' found a proof!
% 3.36/12.56 % [INFO] Killing All external provers ...
% 3.36/12.57 % Time passed: 1782ms (effective reasoning time: 1127ms)
% 3.36/12.57 % Axioms used in derivation (5): and_definition1, and_definition2, not_definition1, nand_definition, not_definition2
% 3.36/12.57 % No. of inferences in proof: 19
% 3.36/12.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1782 ms resp. 1127 ms w/o parsing
% 3.75/12.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.75/12.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------