%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ROB030-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n013.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 08:26:48 AM UTC 2026
% Result : Unsatisfiable 3.65s 2.31s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 7 ~; 1 |; 0 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(negate_decl,type,
negate: $i > $i ).
thf(add_decl,type,
add: $i > $i > $i ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(5,axiom,
( ( d @ ( c @ add ) )
= d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion) ).
thf(15,plain,
( ( d @ ( c @ add ) )
= d ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,plain,
( ( d @ ( c @ add ) )
= d ),
inference(lifteq,[status(thm)],[15]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ ( A @ add ) @ negate )
!= ( B @ negate ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorption_within_negation) ).
thf(6,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ add ) @ negate )
!= ( B @ negate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ add ) @ negate )
!= ( B @ negate ) ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ add ) @ negate )
!= ( B @ negate ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( ( d @ ( c @ add ) )
!= ( B @ ( A @ add ) ) )
| ( ( d @ negate )
!= ( B @ negate ) ) ),
inference(paramod_ordered,[status(thm)],[16,8]) ).
thf(19,plain,
( ( d @ negate )
!= ( d @ negate ) ),
inference(pattern_uni,[status(thm)],[18:[bind(A,$thf( c )),bind(B,$thf( d ))]]) ).
thf(20,plain,
$false,
inference(simp,[status(thm)],[19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB030-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.42 % Computer : n013.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sat Sep 26 06:16:21 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.86/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.18 % [INFO] Parsing done (184ms).
% 1.24/1.20 % [INFO] Running in sequential loop mode.
% 1.90/1.60 % [INFO] eprover registered as external prover.
% 2.11/1.61 % [INFO] Scanning for conjecture ...
% 2.11/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.28/1.73 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.28/1.73 % [INFO] Problem is propositional (TPTP CNF).
% 2.28/1.74 % [INFO] Type checking passed.
% 2.28/1.74 % [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 ...
% 3.65/2.31 % [INFO] Killing All external provers ...
% 3.65/2.31 % Time passed: 1752ms (effective reasoning time: 1103ms)
% 3.65/2.31 % Axioms used in derivation (1): absorbtion
% 3.65/2.31 % No. of inferences in proof: 10
% 3.65/2.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1752 ms resp. 1103 ms w/o parsing
% 3.65/2.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.65/2.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------