%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN258-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n004.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 09:17:04 AM UTC 2026
% Result : Unsatisfiable 110.14s 50.13s
% Output : Refutation 110.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 2 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 85 ( 23 ~; 14 |; 0 &; 48 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(s0_decl,type,
s0: $i > $o ).
thf(336,axiom,
d @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(1002,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(267,axiom,
! [B: $i,A: $i] :
( ~ ( A @ s0 )
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).
thf(875,plain,
! [B: $i,A: $i] :
( ~ ( A @ s0 )
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(876,plain,
! [B: $i,A: $i] :
( ~ ( A @ s0 )
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(cnf,[status(esa)],[875]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( d @ ( B @ ( A @ p1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(368,plain,
! [B: $i,A: $i] :
~ ( d @ ( B @ ( A @ p1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(369,plain,
! [B: $i,A: $i] :
~ ( d @ ( B @ ( A @ p1 ) ) ),
inference(polarity_switch,[status(thm)],[368]) ).
thf(37383,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( d @ ( D @ ( C @ p1 ) ) ) )
| ~ $true
| ~ ( A @ s0 )
| ~ ( B @ s0 ) ),
inference(paramod_ordered,[status(thm)],[876,369]) ).
thf(37384,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( d @ ( D @ ( C @ p1 ) ) ) )
| ~ ( A @ s0 )
| ~ ( B @ s0 ) ),
inference(simp,[status(thm)],[37383]) ).
thf(37385,plain,
! [A: $i] :
( ~ ( d @ s0 )
| ~ ( A @ s0 ) ),
inference(pattern_uni,[status(thm)],[37384:[bind(A,$thf( d )),bind(B,$thf( B )),bind(C,$thf( d )),bind(D,$thf( d ))]]) ).
thf(37405,plain,
! [A: $i] :
( ~ ( d @ s0 )
| ~ ( A @ s0 ) ),
inference(simp,[status(thm)],[37385]) ).
thf(37893,plain,
! [A: $i] :
( ~ $true
| ~ ( A @ s0 ) ),
inference(rewrite,[status(thm)],[37405,1002]) ).
thf(37894,plain,
! [A: $i] :
~ ( A @ s0 ),
inference(simp,[status(thm)],[37893]) ).
thf(37895,plain,
$false,
inference(rewrite,[status(thm)],[1002,37894]) ).
thf(37896,plain,
$false,
inference(simp,[status(thm)],[37895]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN258-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % 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
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 17:26:51 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.71/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.95/0.89 % [INFO] Parsing done (185ms).
% 1.39/0.90 % [INFO] Running in sequential loop mode.
% 1.65/1.10 % [INFO] eprover registered as external prover.
% 1.65/1.10 % [INFO] Scanning for conjecture ...
% 1.91/1.19 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 2.13/1.29 % [INFO] Axiom selection finished. Selected 366 axioms (removed 2 axioms).
% 2.99/1.42 % [INFO] Problem is propositional (TPTP CNF).
% 2.99/1.44 % [INFO] Type checking passed.
% 2.99/1.44 % [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 ...
% 109.93/50.12 % [INFO] Killing All external provers ...
% 109.93/50.13 % Time passed: 49631ms (effective reasoning time: 49222ms)
% 110.14/50.13 % Axioms used in derivation (2): axiom_1, rule_072
% 110.14/50.13 % No. of inferences in proof: 16
% 110.14/50.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 49631 ms resp. 49222 ms w/o parsing
% 110.14/50.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 110.14/50.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------