%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN175-1 : 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 : n009.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 204.13s 97.85s
% Output : Refutation 204.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 127 ( 18 ~; 13 |; 0 &; 96 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 0 ^; 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(q2_decl,type,
q2: $i > $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(p0_decl,type,
p0: $i > $i > $o ).
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(72,axiom,
! [A: $i] : ( A @ ( b @ p0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(505,plain,
! [A: $i] : ( A @ ( b @ p0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(178,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p0 ) )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
thf(709,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p0 ) )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(710,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p0 ) )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(cnf,[status(esa)],[709]) ).
thf(34933,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( C @ p0 ) ) )
| ~ $true
| ( B @ ( B @ ( B @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[505,710]) ).
thf(34934,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( C @ p0 ) ) )
| ( B @ ( B @ ( B @ p1 ) ) ) ),
inference(simp,[status(thm)],[34933]) ).
thf(34935,plain,
! [A: $i] : ( A @ ( A @ ( A @ p1 ) ) ),
inference(pattern_uni,[status(thm)],[34934:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( b ))]]) ).
thf(291,axiom,
! [A: $i] :
( ~ ( A @ ( A @ ( A @ p1 ) ) )
| ( A @ ( A @ ( A @ q2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
thf(925,plain,
! [A: $i] :
( ~ ( A @ ( A @ ( A @ p1 ) ) )
| ( A @ ( A @ ( A @ q2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(926,plain,
! [A: $i] :
( ~ ( A @ ( A @ ( A @ p1 ) ) )
| ( A @ ( A @ ( A @ q2 ) ) ) ),
inference(cnf,[status(esa)],[925]) ).
thf(53137,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( B @ ( B @ ( B @ p1 ) ) ) )
| ~ $true
| ( B @ ( B @ ( B @ q2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[34935,926]) ).
thf(53138,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( B @ ( B @ ( B @ p1 ) ) ) )
| ( B @ ( B @ ( B @ q2 ) ) ) ),
inference(simp,[status(thm)],[53137]) ).
thf(53139,plain,
! [A: $i] : ( A @ ( A @ ( A @ q2 ) ) ),
inference(pattern_uni,[status(thm)],[53138:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ q2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ q2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [B: $i,A: $i] :
~ ( B @ ( d @ ( A @ q2 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(53196,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ q2 ) ) )
!= ( C @ ( d @ ( B @ q2 ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53139,371]) ).
thf(53197,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( A @ ( A @ q2 ) ) )
!= ( C @ ( d @ ( B @ q2 ) ) ) ),
inference(simp,[status(thm)],[53196]) ).
thf(53198,plain,
$false,
inference(pattern_uni,[status(thm)],[53197:[bind(A,$thf( d )),bind(B,$thf( d )),bind(C,$thf( d ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN175-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.11 % 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
% 0.21/0.47 % Computer : n009.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sat Sep 26 17:18:45 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 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
% 1.45/1.31 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.54/1.78 % [INFO] Parsing done (461ms).
% 3.01/1.80 % [INFO] Running in sequential loop mode.
% 4.26/2.38 % [INFO] eprover registered as external prover.
% 4.26/2.39 % [INFO] Scanning for conjecture ...
% 5.00/2.61 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 5.69/2.86 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 6.68/3.15 % [INFO] Problem is propositional (TPTP CNF).
% 6.95/3.17 % [INFO] Type checking passed.
% 6.95/3.17 % [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 ...
% 204.13/97.83 % [INFO] Killing All external provers ...
% 204.13/97.84 % Time passed: 97154ms (effective reasoning time: 96028ms)
% 204.13/97.84 % Axioms used in derivation (3): axiom_14, rule_085, rule_181
% 204.13/97.84 % No. of inferences in proof: 20
% 204.13/97.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 97154 ms resp. 96028 ms w/o parsing
% 204.13/97.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 204.13/97.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------