%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN234-1 : 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 09:17:02 AM UTC 2026
% Result : Unsatisfiable 227.59s 127.39s
% Output : Refutation 227.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 211 ( 38 ~; 35 |; 0 &; 138 @)
% ( 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; 4 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(l3_decl,type,
l3: $i > $i > $o ).
thf(e_decl,type,
e: $i ).
thf(a_decl,type,
a: $i ).
thf(r0_decl,type,
r0: $i > $o ).
thf(m1_decl,type,
m1: $i > $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $i > $o ).
thf(k0_decl,type,
k0: $i > $o ).
thf(l0_decl,type,
l0: $i > $o ).
thf(299,axiom,
e @ k0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(939,plain,
e @ k0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(314,axiom,
a @ l0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(966,plain,
a @ l0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ l0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).
thf(415,plain,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ l0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(416,plain,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ l0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(cnf,[status(esa)],[415]) ).
thf(3040,plain,
! [B: $i,A: $i] :
( ( ( a @ l0 )
!= ( A @ l0 ) )
| ~ ( B @ k0 )
| ~ $true
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[966,416]) ).
thf(3041,plain,
! [B: $i,A: $i] :
( ( ( a @ l0 )
!= ( A @ l0 ) )
| ~ ( B @ k0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(simp,[status(thm)],[3040]) ).
thf(3042,plain,
! [A: $i] :
( ~ ( A @ k0 )
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(pattern_uni,[status(thm)],[3041:[bind(A,$thf( a ))]]) ).
thf(3060,plain,
! [A: $i] :
( ~ ( A @ k0 )
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(simp,[status(thm)],[3042]) ).
thf(3252,plain,
! [A: $i] :
( ( ( e @ k0 )
!= ( A @ k0 ) )
| ~ $true
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[939,3060]) ).
thf(3253,plain,
! [A: $i] :
( ( ( e @ k0 )
!= ( A @ k0 ) )
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(simp,[status(thm)],[3252]) ).
thf(3254,plain,
a @ ( e @ ( a @ m1 ) ),
inference(pattern_uni,[status(thm)],[3253:[bind(A,$thf( e ))]]) ).
thf(155,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( B @ m1 ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).
thf(666,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( B @ m1 ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(667,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( B @ m1 ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(cnf,[status(esa)],[666]) ).
thf(46418,plain,
! [B: $i,A: $i] :
( ( ( a @ ( e @ ( a @ m1 ) ) )
!= ( B @ ( A @ ( B @ m1 ) ) ) )
| ~ $true
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3254,667]) ).
thf(46419,plain,
! [B: $i,A: $i] :
( ( ( a @ ( e @ ( a @ m1 ) ) )
!= ( B @ ( A @ ( B @ m1 ) ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(simp,[status(thm)],[46418]) ).
thf(46420,plain,
e @ ( a @ ( e @ p2 ) ),
inference(pattern_uni,[status(thm)],[46419:[bind(A,$thf( e )),bind(B,$thf( a ))]]) ).
thf(341,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ p2 ) ) )
| ~ ( A @ r0 )
| ( B @ ( A @ l3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_215) ).
thf(1014,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ p2 ) ) )
| ~ ( A @ r0 )
| ( B @ ( A @ l3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(1015,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ p2 ) ) )
| ~ ( A @ r0 )
| ( B @ ( A @ l3 ) ) ),
inference(cnf,[status(esa)],[1014]) ).
thf(75801,plain,
! [B: $i,A: $i] :
( ( ( e @ ( a @ ( e @ p2 ) ) )
!= ( A @ ( B @ ( A @ p2 ) ) ) )
| ~ $true
| ~ ( A @ r0 )
| ( B @ ( A @ l3 ) ) ),
inference(paramod_ordered,[status(thm)],[46420,1015]) ).
thf(75802,plain,
! [B: $i,A: $i] :
( ( ( e @ ( a @ ( e @ p2 ) ) )
!= ( A @ ( B @ ( A @ p2 ) ) ) )
| ~ ( A @ r0 )
| ( B @ ( A @ l3 ) ) ),
inference(simp,[status(thm)],[75801]) ).
thf(75803,plain,
( ~ ( e @ r0 )
| ( a @ ( e @ l3 ) ) ),
inference(pattern_uni,[status(thm)],[75802:[bind(A,$thf( e )),bind(B,$thf( a ))]]) ).
thf(1,negated_conjecture,
~ ( a @ ( e @ l3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( a @ ( e @ l3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( a @ ( e @ l3 ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(322,axiom,
e @ r0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(980,plain,
e @ r0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(75999,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[75803,371,980]) ).
thf(76000,plain,
$false,
inference(simp,[status(thm)],[75999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN234-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.12 % 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
% 0.21/0.46 % Computer : n016.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sat Sep 26 17:29:46 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 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
% 1.24/1.29 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.55/1.75 % [INFO] Parsing done (454ms).
% 2.55/1.77 % [INFO] Running in sequential loop mode.
% 3.74/2.29 % [INFO] eprover registered as external prover.
% 3.95/2.30 % [INFO] Scanning for conjecture ...
% 4.22/2.42 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 4.56/2.58 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 5.56/2.78 % [INFO] Problem is propositional (TPTP CNF).
% 5.56/2.80 % [INFO] Type checking passed.
% 5.93/2.80 % [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 ...
% 227.59/127.38 % [INFO] Killing All external provers ...
% 227.59/127.39 % Time passed: 126709ms (effective reasoning time: 125598ms)
% 227.59/127.39 % Axioms used in derivation (6): rule_215, rule_176, axiom_20, axiom_28, rule_021, axiom_13
% 227.59/127.39 % No. of inferences in proof: 33
% 227.59/127.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 126709 ms resp. 125598 ms w/o parsing
% 227.76/127.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 227.76/127.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------