%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN169-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n018.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 09:16:56 AM UTC 2026
% Result : Unsatisfiable 95.16s 44.84s
% Output : Refutation 95.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 176 ( 35 ~; 28 |; 0 &; 113 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(p3_decl,type,
p3: $i > $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(s0_decl,type,
s0: $i > $o ).
thf(n2_decl,type,
n2: $i > $o ).
thf(333,axiom,
! [A: $i] :
( ~ ( A @ n2 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
thf(997,plain,
! [A: $i] :
( ~ ( A @ n2 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(998,plain,
! [A: $i] :
( ~ ( A @ n2 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
inference(cnf,[status(esa)],[997]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(368,plain,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(369,plain,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ p3 ) ) ),
inference(polarity_switch,[status(thm)],[368]) ).
thf(17325,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p3 ) ) )
!= ( C @ ( d @ ( B @ p3 ) ) ) )
| ~ $true
| ~ ( A @ n2 ) ),
inference(paramod_ordered,[status(thm)],[998,369]) ).
thf(17326,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p3 ) ) )
!= ( C @ ( d @ ( B @ p3 ) ) ) )
| ~ ( A @ n2 ) ),
inference(simp,[status(thm)],[17325]) ).
thf(17327,plain,
~ ( d @ n2 ),
inference(pattern_uni,[status(thm)],[17326:[bind(A,$thf( d )),bind(B,$thf( d )),bind(C,$thf( d ))]]) ).
thf(335,axiom,
d @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(1001,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ~ ( A @ s0 )
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_072) ).
thf(401,plain,
! [B: $i,A: $i] :
( ~ ( A @ s0 )
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(402,plain,
! [B: $i,A: $i] :
( ~ ( A @ s0 )
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(cnf,[status(esa)],[401]) ).
thf(2111,plain,
! [B: $i,A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ~ $true
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1001,402]) ).
thf(2112,plain,
! [B: $i,A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ~ ( B @ s0 )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(simp,[status(thm)],[2111]) ).
thf(2113,plain,
! [A: $i] :
( ~ ( A @ s0 )
| ( d @ ( d @ ( d @ p1 ) ) ) ),
inference(pattern_uni,[status(thm)],[2112:[bind(A,$thf( d ))]]) ).
thf(2130,plain,
! [A: $i] :
( ~ ( A @ s0 )
| ( d @ ( d @ ( d @ p1 ) ) ) ),
inference(simp,[status(thm)],[2113]) ).
thf(2762,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ~ $true
| ( d @ ( d @ ( d @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1001,2130]) ).
thf(2763,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ( d @ ( d @ ( d @ p1 ) ) ) ),
inference(simp,[status(thm)],[2762]) ).
thf(2764,plain,
d @ ( d @ ( d @ p1 ) ),
inference(pattern_uni,[status(thm)],[2763:[bind(A,$thf( d ))]]) ).
thf(108,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
thf(573,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(574,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(cnf,[status(esa)],[573]) ).
thf(13814,plain,
! [C: $i,B: $i,A: $i] :
( ( ( d @ ( d @ ( d @ p1 ) ) )
!= ( A @ ( C @ ( B @ p1 ) ) ) )
| ~ $true
| ( A @ n2 ) ),
inference(paramod_ordered,[status(thm)],[2764,574]) ).
thf(13815,plain,
! [C: $i,B: $i,A: $i] :
( ( ( d @ ( d @ ( d @ p1 ) ) )
!= ( A @ ( C @ ( B @ p1 ) ) ) )
| ( A @ n2 ) ),
inference(simp,[status(thm)],[13814]) ).
thf(13816,plain,
d @ n2,
inference(pattern_uni,[status(thm)],[13815:[bind(A,$thf( d )),bind(B,$thf( d )),bind(C,$thf( d ))]]) ).
thf(17328,plain,
~ $true,
inference(rewrite,[status(thm)],[17327,13816]) ).
thf(17329,plain,
$false,
inference(simp,[status(thm)],[17328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN169-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % 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
% 0.14/0.39 % Computer : n018.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 17:20:07 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.85/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.81/1.30 % [INFO] Parsing done (313ms).
% 1.81/1.31 % [INFO] Running in sequential loop mode.
% 2.44/1.69 % [INFO] eprover registered as external prover.
% 2.61/1.70 % [INFO] Scanning for conjecture ...
% 2.80/1.85 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 2.98/2.01 % [INFO] Axiom selection finished. Selected 366 axioms (removed 2 axioms).
% 3.78/2.20 % [INFO] Problem is propositional (TPTP CNF).
% 3.93/2.21 % [INFO] Type checking passed.
% 3.93/2.21 % [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 ...
% 95.16/44.83 % [INFO] Killing All external provers ...
% 95.16/44.83 % Time passed: 44289ms (effective reasoning time: 43510ms)
% 95.16/44.84 % Axioms used in derivation (4): rule_244, axiom_1, rule_072, rule_137
% 95.16/44.84 % No. of inferences in proof: 29
% 95.16/44.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 44289 ms resp. 43510 ms w/o parsing
% 95.16/44.88 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 95.16/44.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------