%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ALG240-1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n007.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 06:46:26 AM UTC 2026
% Result : Unsatisfiable 40.51s 20.20s
% Output : Refutation 39.71s
% 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 : 210 ( 2 ~; 0 |; 0 &; 208 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_decl,type,
mult: $i > $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(1,negated_conjecture,
( ( d @ ( b @ mult ) @ ( c @ ( a @ mult ) @ mult ) @ ( d @ ( c @ mult ) @ ( b @ ( a @ mult ) @ mult ) @ mult ) )
!= ( d @ ( c @ mult ) @ ( b @ ( a @ mult ) @ mult ) @ ( d @ ( b @ mult ) @ ( c @ ( a @ mult ) @ mult ) @ mult ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
thf(6,plain,
( ( d @ ( b @ mult ) @ ( c @ ( a @ mult ) @ mult ) @ ( d @ ( c @ mult ) @ ( b @ ( a @ mult ) @ mult ) @ mult ) )
!= ( d @ ( c @ mult ) @ ( b @ ( a @ mult ) @ mult ) @ ( d @ ( b @ mult ) @ ( c @ ( a @ mult ) @ mult ) @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ mult ) @ ( A @ mult ) )
= ( C @ ( A @ mult ) @ ( B @ ( A @ mult ) @ mult ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ mult ) @ ( A @ mult ) )
= ( C @ ( A @ mult ) @ ( B @ ( A @ mult ) @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) @ ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) @ mult ) @ ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) @ mult ) )
= ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) @ ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) @ mult ) @ ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) @ mult ) )
= ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ mult ) @ mult ) )
= ( C @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ mult ) @ mult ) )
= ( C @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) @ ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) @ ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) @ mult ) @ mult ) )
= ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
thf(15,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) @ ( D @ ( B @ mult ) @ ( C @ ( A @ mult ) @ mult ) @ ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) @ mult ) @ mult ) )
= ( D @ ( C @ mult ) @ ( B @ ( A @ mult ) @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13558,plain,
$false,
inference(e,[status(thm)],[6,9,13,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG240-1 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.14/10.41 % Computer : n007.cluster.edu
% 0.14/10.41 % Model : x86_64 x86_64
% 0.14/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.41 % Memory : 8046.5625MB
% 0.14/10.41 % OS : Linux 6.8.0-71-generic
% 0.14/10.41 % CPULimit : 300
% 0.14/10.41 % WCLimit : 300
% 0.14/10.41 % DateTime : Sat Sep 26 21:42:04 UTC 2026
% 0.14/10.42 % CPUTime :
% 0.14/10.42 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
% 0.18/10.72 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/10.81 % [INFO] Parsing done (89ms).
% 0.18/10.81 % [INFO] Running in sequential loop mode.
% 0.18/11.00 % [INFO] eprover registered as external prover.
% 0.18/11.00 % [INFO] Scanning for conjecture ...
% 1.41/11.05 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.41/11.06 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.41/11.07 % [INFO] Problem is propositional (TPTP CNF).
% 1.41/11.08 % [INFO] Type checking passed.
% 1.41/11.08 % [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 ...
% 40.51/20.19 % External prover 'e' found a proof!
% 40.51/20.19 % [INFO] Killing All external provers ...
% 40.51/20.19 % Time passed: 9680ms (effective reasoning time: 9376ms)
% 40.51/20.19 % Axioms used in derivation (4): c01, c03, c02, c04
% 40.51/20.19 % No. of inferences in proof: 11
% 40.51/20.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 9680 ms resp. 9376 ms w/o parsing
% 39.71/20.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 39.71/20.23 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------