%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% 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 : n006.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 07:21:01 AM UTC 2026
% Result : Unsatisfiable 4.52s 2.96s
% Output : Refutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 72 ( 2 ~; 0 |; 0 &; 70 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiply_decl,type,
multiply: $i > $i > $i ).
thf(inverse_decl,type,
inverse: $i > $i ).
thf(a1_decl,type,
a1: $i ).
thf(b1_decl,type,
b1: $i ).
thf(divide_decl,type,
divide: $i > $i > $i ).
thf(1,negated_conjecture,
( ( a1 @ ( a1 @ inverse @ multiply ) )
!= ( b1 @ ( b1 @ inverse @ multiply ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
thf(5,plain,
( ( a1 @ ( a1 @ inverse @ multiply ) )
!= ( b1 @ ( b1 @ inverse @ multiply ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ ( B @ divide ) @ divide ) @ divide ) @ ( C @ ( B @ ( B @ ( B @ divide ) @ divide ) @ divide ) @ divide ) @ ( A @ divide ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
thf(8,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ ( B @ divide ) @ divide ) @ divide ) @ ( C @ ( B @ ( B @ ( B @ divide ) @ divide ) @ divide ) @ divide ) @ ( A @ divide ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ multiply ) )
= ( B @ ( C @ ( C @ divide ) @ divide ) @ ( A @ divide ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ multiply ) )
= ( B @ ( C @ ( C @ divide ) @ divide ) @ ( A @ divide ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( A @ inverse )
= ( A @ ( B @ ( B @ divide ) @ divide ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( A @ inverse )
= ( A @ ( B @ ( B @ divide ) @ divide ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[5,8,10,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% 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
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri Sep 25 14:54:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 1.12/1.09 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.53/1.36 % [INFO] Parsing done (261ms).
% 1.53/1.38 % [INFO] Running in sequential loop mode.
% 2.39/2.01 % [INFO] eprover registered as external prover.
% 2.39/2.02 % [INFO] Scanning for conjecture ...
% 2.70/2.13 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.87/2.18 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.95/2.20 % [INFO] Problem is propositional (TPTP CNF).
% 2.95/2.21 % [INFO] Type checking passed.
% 2.95/2.22 % [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 ...
% 4.52/2.95 % External prover 'e' found a proof!
% 4.52/2.95 % [INFO] Killing All external provers ...
% 4.52/2.96 % Time passed: 2364ms (effective reasoning time: 1567ms)
% 4.52/2.96 % Axioms used in derivation (3): single_axiom, multiply, inverse
% 4.52/2.96 % No. of inferences in proof: 9
% 4.52/2.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2364 ms resp. 1567 ms w/o parsing
% 4.52/3.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.52/3.02 % [INFO] Killing All external provers ...
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