%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN248-1 : 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 09:17:03 AM UTC 2026
% Result : Unsatisfiable 113.87s 55.74s
% Output : Refutation 113.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 173 ( 37 ~; 30 |; 0 &; 106 @)
% ( 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 : 11 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(m1_decl,type,
m1: $i > $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(c_decl,type,
c: $i ).
thf(a_decl,type,
a: $i ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(k1_decl,type,
k1: $i > $o ).
thf(q0_decl,type,
q0: $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(261,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( A @ q0 ) )
| ~ ( B @ k1 )
| ~ ( a @ k1 )
| ( B @ ( B @ ( A @ m1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_034) ).
thf(866,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( A @ q0 ) )
| ~ ( B @ k1 )
| ~ ( a @ k1 )
| ( B @ ( B @ ( A @ m1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(867,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( A @ q0 ) )
| ~ ( B @ k1 )
| ~ ( a @ k1 )
| ( B @ ( B @ ( A @ m1 ) ) ) ),
inference(cnf,[status(esa)],[866]) ).
thf(78,axiom,
a @ ( b @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(518,plain,
a @ ( b @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(120,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
thf(599,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(600,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
inference(cnf,[status(esa)],[599]) ).
thf(2588,plain,
! [B: $i,A: $i] :
( ( ( a @ ( b @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ~ $true
| ( A @ k1 ) ),
inference(paramod_ordered,[status(thm)],[518,600]) ).
thf(2589,plain,
! [B: $i,A: $i] :
( ( ( a @ ( b @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ( A @ k1 ) ),
inference(simp,[status(thm)],[2588]) ).
thf(2590,plain,
a @ k1,
inference(pattern_uni,[status(thm)],[2589:[bind(A,$thf( a )),bind(B,$thf( b ))]]) ).
thf(30867,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( A @ q0 ) )
| ~ ( B @ k1 )
| ~ $true
| ( B @ ( B @ ( A @ m1 ) ) ) ),
inference(rewrite,[status(thm)],[867,2590]) ).
thf(30868,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( A @ q0 ) )
| ~ ( B @ k1 )
| ( B @ ( B @ ( A @ m1 ) ) ) ),
inference(simp,[status(thm)],[30867]) ).
thf(1,negated_conjecture,
~ ( c @ ( c @ ( d @ m1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( c @ ( c @ ( d @ m1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( c @ ( c @ ( d @ m1 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(30882,plain,
! [B: $i,A: $i] :
( ( ( B @ ( B @ ( A @ m1 ) ) )
!= ( c @ ( c @ ( d @ m1 ) ) ) )
| ~ $true
| ~ ( A @ ( A @ q0 ) )
| ~ ( B @ k1 ) ),
inference(paramod_ordered,[status(thm)],[30868,371]) ).
thf(30883,plain,
! [B: $i,A: $i] :
( ( ( B @ ( B @ ( A @ m1 ) ) )
!= ( c @ ( c @ ( d @ m1 ) ) ) )
| ~ ( A @ ( A @ q0 ) )
| ~ ( B @ k1 ) ),
inference(simp,[status(thm)],[30882]) ).
thf(30884,plain,
( ~ ( d @ ( d @ q0 ) )
| ~ ( c @ k1 ) ),
inference(pattern_uni,[status(thm)],[30883:[bind(A,$thf( d )),bind(B,$thf( c ))]]) ).
thf(251,axiom,
c @ ( d @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(849,plain,
c @ ( d @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(2594,plain,
! [B: $i,A: $i] :
( ( ( c @ ( d @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ~ $true
| ( A @ k1 ) ),
inference(paramod_ordered,[status(thm)],[849,600]) ).
thf(2595,plain,
! [B: $i,A: $i] :
( ( ( c @ ( d @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ( A @ k1 ) ),
inference(simp,[status(thm)],[2594]) ).
thf(2596,plain,
c @ k1,
inference(pattern_uni,[status(thm)],[2595:[bind(A,$thf( c )),bind(B,$thf( d ))]]) ).
thf(335,axiom,
! [A: $i] : ( d @ ( A @ q0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(1004,plain,
! [A: $i] : ( d @ ( A @ q0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(30936,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[30884,2596,1004]) ).
thf(30937,plain,
$false,
inference(simp,[status(thm)],[30936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN248-1 : 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
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sat Sep 26 17:28:22 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.87/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.88/1.34 % [INFO] Parsing done (358ms).
% 1.88/1.35 % [INFO] Running in sequential loop mode.
% 2.89/1.75 % [INFO] eprover registered as external prover.
% 2.89/1.76 % [INFO] Scanning for conjecture ...
% 3.42/1.90 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.91/2.05 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.66/2.26 % [INFO] Problem is propositional (TPTP CNF).
% 4.66/2.28 % [INFO] Type checking passed.
% 4.66/2.28 % [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 ...
% 113.87/55.73 % [INFO] Killing All external provers ...
% 113.87/55.74 % Time passed: 55192ms (effective reasoning time: 54376ms)
% 113.87/55.74 % Axioms used in derivation (5): axiom_26, axiom_17, rule_034, rule_001, axiom_37
% 113.87/55.74 % No. of inferences in proof: 28
% 113.87/55.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 55192 ms resp. 54376 ms w/o parsing
% 113.87/55.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 113.87/55.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------