%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% 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 : n014.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 08:21:14 AM UTC 2026
% Result : Unsatisfiable 11.68s 19.09s
% Output : Refutation 12.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 16
% Syntax : Number of formulae : 33 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 344 ( 58 ~; 50 |; 0 &; 236 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-5 aty)
% Number of variables : 60 ( 0 ^; 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $i > $i > $o ).
thf(s2_decl,type,
s2: $i ).
thf(neq_decl,type,
neq: $i > $i > $o ).
thf(s1_decl,type,
s1: $i ).
thf(s0_decl,type,
s0: $i ).
thf(14,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( F @ ( D @ neq ) )
| ~ ( E @ ( D @ neq ) )
| ~ ( F @ ( C @ neq ) )
| ~ ( E @ ( C @ neq ) )
| ~ ( F @ ( B @ neq ) )
| ~ ( E @ ( B @ neq ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( E @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
thf(38,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( F @ ( D @ neq ) )
| ~ ( E @ ( D @ neq ) )
| ~ ( F @ ( C @ neq ) )
| ~ ( E @ ( C @ neq ) )
| ~ ( F @ ( B @ neq ) )
| ~ ( E @ ( B @ neq ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( E @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
s0 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq7) ).
thf(41,plain,
s0 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(12,axiom,
~ ( s2 @ ( s2 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq9) ).
thf(35,plain,
~ ( s2 @ ( s2 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
s2 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq3) ).
thf(31,plain,
s2 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
thf(40,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(2,axiom,
s0 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq4) ).
thf(19,plain,
s0 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
s1 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq2) ).
thf(24,plain,
s1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
s1 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq8) ).
thf(37,plain,
s1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( F @ ( A @ p ) ) ) ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( B @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
thf(25,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( F @ ( A @ p ) ) ) ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( B @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
~ ( s0 @ ( s0 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq1) ).
thf(20,plain,
~ ( s0 @ ( s0 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( F @ p ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
thf(29,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( F @ p ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
~ ( s2 @ ( s2 @ ( s2 @ ( s2 @ ( s2 @ p ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(17,plain,
~ ( s2 @ ( s2 @ ( s2 @ ( s2 @ ( s2 @ p ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(10,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( F @ ( C @ neq ) )
| ~ ( D @ ( C @ neq ) )
| ~ ( F @ ( B @ neq ) )
| ~ ( D @ ( B @ neq ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( D @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
thf(32,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( F @ ( C @ neq ) )
| ~ ( D @ ( C @ neq ) )
| ~ ( F @ ( B @ neq ) )
| ~ ( D @ ( B @ neq ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( D @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
s2 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq6) ).
thf(34,plain,
s2 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
~ ( s1 @ ( s1 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq5) ).
thf(22,plain,
~ ( s1 @ ( s1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( F @ ( B @ ( A @ p ) ) ) ) )
| ~ ( F @ ( B @ neq ) )
| ~ ( C @ ( B @ neq ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( C @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
thf(27,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( F @ ( B @ ( A @ p ) ) ) ) )
| ~ ( F @ ( B @ neq ) )
| ~ ( C @ ( B @ neq ) )
| ~ ( F @ ( A @ neq ) )
| ~ ( C @ ( A @ neq ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1379,plain,
$false,
inference(e,[status(thm)],[38,41,35,31,40,19,24,37,25,20,29,17,32,34,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% 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
% 0.16/15.45 % Computer : n014.cluster.edu
% 0.16/15.45 % Model : x86_64 x86_64
% 0.16/15.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.45 % Memory : 8046.5625MB
% 0.16/15.45 % OS : Linux 6.8.0-71-generic
% 0.16/15.45 % CPULimit : 300
% 0.16/15.45 % WCLimit : 300
% 0.16/15.45 % DateTime : Sat Sep 26 05:09:03 UTC 2026
% 0.16/15.45 % CPUTime :
% 0.16/15.45 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
% 1.03/16.05 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.33/16.24 % [INFO] Parsing done (189ms).
% 1.33/16.25 % [INFO] Running in sequential loop mode.
% 1.92/16.66 % [INFO] eprover registered as external prover.
% 1.92/16.66 % [INFO] Scanning for conjecture ...
% 2.13/16.75 % [INFO] Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ...
% 2.30/16.81 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.30/16.84 % [INFO] Problem is propositional (TPTP CNF).
% 2.30/16.85 % [INFO] Type checking passed.
% 2.30/16.85 % [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 ...
% 11.68/19.09 % External prover 'e' found a proof!
% 11.68/19.09 % [INFO] Killing All external provers ...
% 11.68/19.09 % Time passed: 3493ms (effective reasoning time: 2831ms)
% 11.68/19.09 % Axioms used in derivation (15): rule4, rule5, neq6, neq7, rule1, neq3, neq2, neq8, rule2, neq4, neq1, rule3, neq5, neq9, init
% 11.68/19.09 % No. of inferences in proof: 33
% 11.68/19.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3493 ms resp. 2831 ms w/o parsing
% 12.13/19.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.13/19.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------