%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT394-1 : TPTP v9.3.1. Released v5.4.0.
% 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 07:47:39 AM UTC 2026
% Result : Unsatisfiable 4.93s 2.71s
% Output : Refutation 4.93s
% 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 : 96 ( 2 ~; 0 |; 0 &; 94 @)
% ( 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; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $i > $i > $i ).
thf(x0_decl,type,
x0: $i ).
thf(x1_decl,type,
x1: $i ).
thf(or_decl,type,
or: $i > $i > $i ).
thf(and_decl,type,
and: $i > $i > $i ).
thf(neg_decl,type,
neg: $i > $i ).
thf(1,negated_conjecture,
( ( x0 @ ( x0 @ f ) @ ( x0 @ f ) )
!= ( x1 @ ( x1 @ f ) @ ( x1 @ f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
thf(6,plain,
( ( x0 @ ( x0 @ f ) @ ( x0 @ f ) )
!= ( x1 @ ( x1 @ f ) @ ( x1 @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( A @ ( A @ f ) @ f ) @ ( B @ f ) @ f ) @ ( B @ f ) @ ( D @ ( C @ ( B @ f ) @ ( B @ ( A @ f ) @ f ) @ f ) @ f ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
thf(9,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( A @ ( A @ f ) @ f ) @ ( B @ f ) @ f ) @ ( B @ f ) @ ( D @ ( C @ ( B @ f ) @ ( B @ ( A @ f ) @ f ) @ f ) @ f ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ and ) )
= ( B @ ( A @ f ) @ ( B @ ( A @ f ) @ f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_002) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ and ) )
= ( B @ ( A @ f ) @ ( B @ ( A @ f ) @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ or ) )
= ( B @ ( B @ f ) @ ( A @ ( A @ f ) @ f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_001) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ or ) )
= ( B @ ( B @ f ) @ ( A @ ( A @ f ) @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ neg )
= ( A @ ( A @ f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_003) ).
thf(15,plain,
! [A: $i] :
( ( A @ neg )
= ( A @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[6,9,13,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT394-1 : TPTP v9.3.1. Released v5.4.0.
% 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
% 0.13/0.40 % Computer : n013.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Fri Sep 25 21:40:06 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 0.73/0.71 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.98/0.88 % [INFO] Parsing done (167ms).
% 1.18/0.90 % [INFO] Running in sequential loop mode.
% 2.10/1.56 % [INFO] eprover registered as external prover.
% 2.10/1.57 % [INFO] Scanning for conjecture ...
% 2.46/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.46/1.75 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.46/1.77 % [INFO] Problem is propositional (TPTP CNF).
% 2.46/1.78 % [INFO] Type checking passed.
% 2.46/1.78 % [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 ...
% 4.93/2.70 % External prover 'e' found a proof!
% 4.93/2.70 % [INFO] Killing All external provers ...
% 4.93/2.70 % Time passed: 2217ms (effective reasoning time: 1790ms)
% 4.93/2.71 % Axioms used in derivation (4): sos, sos_002, sos_001, sos_003
% 4.93/2.71 % No. of inferences in proof: 11
% 4.93/2.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2217 ms resp. 1790 ms w/o parsing
% 4.93/2.76 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.93/2.76 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------