%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN173-1 : 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 : n020.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 249.06s 157.09s
% Output : Refutation 249.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 125 ( 27 ~; 16 |; 0 &; 82 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(q1_decl,type,
q1: $i > $i > $i > $o ).
thf(e_decl,type,
e: $i ).
thf(a_decl,type,
a: $i ).
thf(p0_decl,type,
p0: $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(269,axiom,
a @ ( b @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(882,plain,
a @ ( b @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(58,axiom,
! [A: $i] : ( A @ ( b @ p0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(476,plain,
! [A: $i] : ( A @ ( b @ p0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(337,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p0 ) )
| ~ ( B @ ( C @ n0 ) )
| ( A @ ( B @ ( A @ q1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_092) ).
thf(1005,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p0 ) )
| ~ ( B @ ( C @ n0 ) )
| ( A @ ( B @ ( A @ q1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(1006,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p0 ) )
| ~ ( B @ ( C @ n0 ) )
| ( A @ ( B @ ( A @ q1 ) ) ) ),
inference(cnf,[status(esa)],[1005]) ).
thf(1,negated_conjecture,
~ ( e @ ( a @ ( e @ q1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( e @ ( a @ ( e @ q1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( e @ ( a @ ( e @ q1 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(77733,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ q1 ) ) )
!= ( e @ ( a @ ( e @ q1 ) ) ) )
| ~ $true
| ~ ( A @ ( D @ p0 ) )
| ~ ( B @ ( C @ n0 ) ) ),
inference(paramod_ordered,[status(thm)],[1006,371]) ).
thf(77734,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ q1 ) ) )
!= ( e @ ( a @ ( e @ q1 ) ) ) )
| ~ ( A @ ( D @ p0 ) )
| ~ ( B @ ( C @ n0 ) ) ),
inference(simp,[status(thm)],[77733]) ).
thf(77735,plain,
! [B: $i,A: $i] :
( ~ ( e @ ( B @ p0 ) )
| ~ ( a @ ( A @ n0 ) ) ),
inference(pattern_uni,[status(thm)],[77734:[bind(A,$thf( e )),bind(B,$thf( a ))]]) ).
thf(77791,plain,
! [B: $i,A: $i] :
( ~ ( e @ ( B @ p0 ) )
| ~ ( a @ ( A @ n0 ) ) ),
inference(simp,[status(thm)],[77735]) ).
thf(77895,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( e @ ( C @ p0 ) ) )
| ~ $true
| ~ ( a @ ( B @ n0 ) ) ),
inference(paramod_ordered,[status(thm)],[476,77791]) ).
thf(77896,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( e @ ( C @ p0 ) ) )
| ~ ( a @ ( B @ n0 ) ) ),
inference(simp,[status(thm)],[77895]) ).
thf(77897,plain,
! [A: $i] :
~ ( a @ ( A @ n0 ) ),
inference(pattern_uni,[status(thm)],[77896:[bind(A,$thf( e )),bind(B,$thf( B )),bind(C,$thf( b ))]]) ).
thf(77930,plain,
! [A: $i] :
~ ( a @ ( A @ n0 ) ),
inference(simp,[status(thm)],[77897]) ).
thf(77935,plain,
$false,
inference(rewrite,[status(thm)],[882,77930]) ).
thf(77936,plain,
$false,
inference(simp,[status(thm)],[77935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN173-1 : 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
% 0.16/5.41 % Computer : n020.cluster.edu
% 0.16/5.41 % Model : x86_64 x86_64
% 0.16/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.41 % Memory : 8046.5625MB
% 0.16/5.41 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Sat Sep 26 17:19:09 UTC 2026
% 0.16/5.42 % CPUTime :
% 0.16/5.42 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
% 0.19/5.72 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/5.91 % [INFO] Parsing done (187ms).
% 0.19/5.92 % [INFO] Running in sequential loop mode.
% 1.75/6.12 % [INFO] eprover registered as external prover.
% 1.75/6.12 % [INFO] Scanning for conjecture ...
% 2.36/6.21 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 2.76/6.32 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 3.50/6.51 % [INFO] Problem is propositional (TPTP CNF).
% 3.50/6.52 % [INFO] Type checking passed.
% 3.50/6.53 % [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 ...
% 249.06/157.08 % [INFO] Killing All external provers ...
% 249.06/157.08 % Time passed: 151560ms (effective reasoning time: 151156ms)
% 249.06/157.09 % Axioms used in derivation (3): axiom_37, axiom_14, rule_092
% 249.06/157.09 % No. of inferences in proof: 20
% 249.06/157.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 151560 ms resp. 151156 ms w/o parsing
% 249.06/157.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 249.06/157.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------