%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ROB008-1 : 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 : n016.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 08:26:45 AM UTC 2026
% Result : Unsatisfiable 4.21s 7.28s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 74 ( 2 ~; 0 |; 0 &; 72 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(add_decl,type,
add: $i > $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(negate_decl,type,
negate: $i > $i ).
thf(c_decl,type,
c: $i ).
thf(1,negated_conjecture,
( ( b @ ( a @ add ) )
!= a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).
thf(6,plain,
( ( b @ ( a @ add ) )
!= a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ add ) )
= ( A @ ( B @ add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ add ) )
= ( A @ ( B @ add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ negate @ ( A @ add ) @ negate @ ( B @ ( A @ add ) @ negate @ add ) @ negate )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( B @ negate @ ( A @ add ) @ negate @ ( B @ ( A @ add ) @ negate @ add ) @ negate )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ add ) @ add ) )
= ( C @ ( B @ add ) @ ( A @ add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ add ) @ add ) )
= ( C @ ( B @ add ) @ ( A @ add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
( ( c @ ( b @ add ) @ negate @ ( a @ add ) @ negate )
= ( c @ negate @ ( b @ add ) @ ( a @ add ) @ negate ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
thf(15,plain,
( ( c @ ( b @ add ) @ negate @ ( a @ add ) @ negate )
= ( c @ negate @ ( b @ add ) @ ( a @ add ) @ negate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[6,9,13,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ROB008-1 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.23/5.50 % Computer : n016.cluster.edu
% 0.23/5.50 % Model : x86_64 x86_64
% 0.23/5.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/5.50 % Memory : 8046.5625MB
% 0.23/5.50 % OS : Linux 6.8.0-71-generic
% 0.23/5.54 % CPULimit : 300
% 0.23/5.54 % WCLimit : 300
% 0.23/5.54 % DateTime : Sat Sep 26 06:19:21 UTC 2026
% 0.23/5.54 % CPUTime :
% 0.23/5.54 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
% 0.29/6.04 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.43/6.19 % [INFO] Parsing done (153ms).
% 1.55/6.21 % [INFO] Running in sequential loop mode.
% 2.23/6.54 % [INFO] eprover registered as external prover.
% 2.23/6.55 % [INFO] Scanning for conjecture ...
% 2.48/6.61 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.48/6.64 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.48/6.65 % [INFO] Problem is propositional (TPTP CNF).
% 2.48/6.66 % [INFO] Type checking passed.
% 2.48/6.66 % [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 ...
% 4.21/7.27 % External prover 'e' found a proof!
% 4.21/7.28 % [INFO] Killing All external provers ...
% 4.21/7.28 % Time passed: 1592ms (effective reasoning time: 1064ms)
% 4.21/7.28 % Axioms used in derivation (4): commutativity_of_add, robbins_axiom, associativity_of_add, condition
% 4.21/7.28 % No. of inferences in proof: 11
% 4.21/7.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1592 ms resp. 1064 ms w/o parsing
% 4.62/7.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.62/7.32 % [INFO] Killing All external provers ...
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