%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GRP683-11 : TPTP v9.3.1. Released v8.1.0.
% 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 : n011.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 07:21:45 AM UTC 2026
% Result : Unsatisfiable 6.22s 8.54s
% Output : Refutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 154 ( 2 ~; 0 |; 0 &; 152 @)
% ( 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 : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_decl,type,
mult: $i > $i > $i ).
thf(rd_decl,type,
rd: $i > $i > $i ).
thf(x3_decl,type,
x3: $i ).
thf(x4_decl,type,
x4: $i ).
thf(x5_decl,type,
x5: $i ).
thf(ld_decl,type,
ld: $i > $i > $i ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( B @ ld ) @ ( A @ mult ) @ ( A @ ld ) )
= ( B @ ( B @ ( A @ ( A @ rd ) @ mult ) @ rd ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ld ) @ ( A @ mult ) @ ( A @ ld ) )
= ( B @ ( B @ ( A @ ( A @ rd ) @ mult ) @ rd ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ ( A @ ( A @ mult ) @ rd ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
thf(14,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ mult ) @ rd ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ mult ) @ ( B @ ( A @ ld ) @ mult ) @ ( B @ ( A @ ld ) @ ld ) )
= ( D @ ( C @ ( A @ mult ) @ ( A @ ld ) @ mult ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
thf(20,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ mult ) @ ( B @ ( A @ ld ) @ mult ) @ ( B @ ( A @ ld ) @ ld ) )
= ( D @ ( C @ ( A @ mult ) @ ( A @ ld ) @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
( ( x5 @ ( x4 @ ( x4 @ ( x3 @ mult ) @ rd ) @ mult ) )
!= ( x5 @ ( x3 @ mult ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(9,plain,
( ( x5 @ ( x4 @ ( x4 @ ( x3 @ mult ) @ rd ) @ mult ) )
!= ( x5 @ ( x3 @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ rd ) @ ( D @ ( C @ rd ) @ ( B @ ( A @ mult ) @ mult ) @ rd ) )
= ( D @ ( D @ ( B @ mult ) @ rd ) @ ( A @ mult ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ rd ) @ ( D @ ( C @ rd ) @ ( B @ ( A @ mult ) @ mult ) @ rd ) )
= ( D @ ( D @ ( B @ mult ) @ rd ) @ ( A @ mult ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ ( A @ mult ) @ ( A @ ld ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
thf(12,plain,
! [A: $i] :
( ( A @ ( A @ mult ) @ ( A @ ld ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ rd ) @ mult ) )
= ( B @ ( B @ ( A @ mult ) @ rd ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ rd ) @ mult ) )
= ( B @ ( B @ ( A @ mult ) @ rd ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ld ) @ ( A @ mult ) )
= ( B @ ( A @ mult ) @ ( A @ ld ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ld ) @ ( A @ mult ) )
= ( B @ ( A @ mult ) @ ( A @ ld ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(49,plain,
$false,
inference(e,[status(thm)],[24,14,20,9,22,12,18,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP683-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.11 % 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
% 0.21/5.48 % Computer : n011.cluster.edu
% 0.21/5.48 % Model : x86_64 x86_64
% 0.21/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/5.48 % Memory : 8046.5625MB
% 0.21/5.48 % OS : Linux 6.8.0-71-generic
% 0.21/5.49 % CPULimit : 300
% 0.21/5.49 % WCLimit : 300
% 0.21/5.49 % DateTime : Fri Sep 25 15:36:49 UTC 2026
% 0.21/5.49 % CPUTime :
% 0.21/5.49 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
% 1.29/6.27 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.84/6.53 % [INFO] Parsing done (257ms).
% 1.84/6.55 % [INFO] Running in sequential loop mode.
% 2.86/7.15 % [INFO] eprover registered as external prover.
% 2.86/7.17 % [INFO] Scanning for conjecture ...
% 2.95/7.29 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 3.11/7.34 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 3.11/7.36 % [INFO] Problem is propositional (TPTP CNF).
% 3.11/7.37 % [INFO] Type checking passed.
% 3.11/7.38 % [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 ...
% 6.22/8.54 % External prover 'e' found a proof!
% 6.22/8.54 % [INFO] Killing All external provers ...
% 6.22/8.54 % Time passed: 2843ms (effective reasoning time: 1979ms)
% 6.22/8.54 % Axioms used in derivation (7): f03, f02, f07, f06, f05, f04, f01
% 6.22/8.54 % No. of inferences in proof: 17
% 6.22/8.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2843 ms resp. 1979 ms w/o parsing
% 6.49/8.60 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.49/8.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------