%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN167-1 : 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 : n016.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 09:16:55 AM UTC 2026
% Result : Unsatisfiable 139.33s 92.00s
% Output : Refutation 139.33s
% 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 : 8 ( 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 : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% 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,
! [A: $i] :
~ ( d @ ( A @ ( d @ p1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(368,plain,
! [A: $i] :
~ ( d @ ( A @ ( d @ p1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(369,plain,
! [A: $i] :
~ ( d @ ( A @ ( d @ p1 ) ) ),
inference(polarity_switch,[status(thm)],[368]) ).
thf(37807,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( d @ ( C @ ( d @ p1 ) ) ) )
| ~ $true
| ~ ( A @ s0 )
| ~ ( B @ s0 ) ),
inference(paramod_ordered,[status(thm)],[876,369]) ).
thf(37808,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( d @ ( C @ ( d @ p1 ) ) ) )
| ~ ( A @ s0 )
| ~ ( B @ s0 ) ),
inference(simp,[status(thm)],[37807]) ).
thf(37809,plain,
! [A: $i] :
( ~ ( d @ s0 )
| ~ ( A @ s0 ) ),
inference(pattern_uni,[status(thm)],[37808:[bind(A,$thf( d )),bind(B,$thf( B )),bind(C,$thf( d ))]]) ).
thf(37821,plain,
! [A: $i] :
( ~ ( d @ s0 )
| ~ ( A @ s0 ) ),
inference(simp,[status(thm)],[37809]) ).
thf(38317,plain,
! [A: $i] :
( ~ $true
| ~ ( A @ s0 ) ),
inference(rewrite,[status(thm)],[37821,1002]) ).
thf(38318,plain,
! [A: $i] :
~ ( A @ s0 ),
inference(simp,[status(thm)],[38317]) ).
thf(38319,plain,
$false,
inference(rewrite,[status(thm)],[1002,38318]) ).
thf(38320,plain,
$false,
inference(simp,[status(thm)],[38319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN167-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.14/15.42 % Computer : n016.cluster.edu
% 0.14/15.42 % Model : x86_64 x86_64
% 0.14/15.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.42 % Memory : 8046.5625MB
% 0.14/15.42 % OS : Linux 6.8.0-71-generic
% 0.14/15.42 % CPULimit : 300
% 0.14/15.42 % WCLimit : 300
% 0.14/15.42 % DateTime : Sat Sep 26 17:22:16 UTC 2026
% 0.14/15.43 % CPUTime :
% 0.14/15.43 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
% 0.19/16.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.89/16.33 % [INFO] Parsing done (325ms).
% 1.89/16.34 % [INFO] Running in sequential loop mode.
% 3.01/16.75 % [INFO] eprover registered as external prover.
% 3.01/16.76 % [INFO] Scanning for conjecture ...
% 3.51/16.90 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 4.06/17.06 % [INFO] Axiom selection finished. Selected 366 axioms (removed 2 axioms).
% 4.60/17.26 % [INFO] Problem is propositional (TPTP CNF).
% 4.60/17.27 % [INFO] Type checking passed.
% 4.60/17.28 % [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 ...
% 139.33/91.99 % [INFO] Killing All external provers ...
% 139.33/92.00 % Time passed: 76423ms (effective reasoning time: 75643ms)
% 139.33/92.00 % Axioms used in derivation (2): axiom_1, rule_072
% 139.33/92.00 % No. of inferences in proof: 16
% 139.33/92.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 76423 ms resp. 75643 ms w/o parsing
% 139.33/92.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 139.33/92.03 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------