%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO617-1 : TPTP v9.3.1. Released v7.1.0.
% 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 : n003.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 09:45:02 AM UTC 2026
% Result : Unsatisfiable 2.75s 1.79s
% Output : Refutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 142 ( 22 ~; 20 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(le_decl,type,
le: $i > $i > $o ).
thf(max_decl,type,
max: $i > $i > $i ).
thf(eq_decl,type,
eq: $i > $i > $o ).
thf(f_decl,type,
f: $i > $i ).
thf(a0_decl,type,
a0: $i ).
thf(a1_decl,type,
a1: $i ).
thf(a2_decl,type,
a2: $i ).
thf(s_decl,type,
s: $i > $i ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ le ) )
| ~ ( C @ ( B @ ( A @ max ) @ le ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ le ) )
| ~ ( C @ ( B @ ( A @ max ) @ le ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( a2 @ ( A @ f @ eq ) )
| ( a1 @ ( A @ f @ eq ) )
| ( a0 @ ( A @ f @ eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
thf(13,plain,
! [A: $i] :
( ( a2 @ ( A @ f @ eq ) )
| ( a1 @ ( A @ f @ eq ) )
| ( a0 @ ( A @ f @ eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ s @ le ) )
| ~ ( a1 @ ( B @ f @ eq ) )
| ~ ( a1 @ ( A @ f @ eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ s @ le ) )
| ~ ( a1 @ ( B @ f @ eq ) )
| ~ ( a1 @ ( A @ f @ eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ le ) )
| ~ ( C @ ( B @ ( A @ max ) @ le ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ le ) )
| ~ ( C @ ( B @ ( A @ max ) @ le ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,axiom,
! [A: $i] : ( A @ ( A @ le ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
thf(8,plain,
! [A: $i] : ( A @ ( A @ le ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ s @ le ) )
| ~ ( a2 @ ( B @ f @ eq ) )
| ~ ( a2 @ ( A @ f @ eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
thf(19,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ s @ le ) )
| ~ ( a2 @ ( B @ f @ eq ) )
| ~ ( a2 @ ( A @ f @ eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ s @ le ) )
| ~ ( a0 @ ( B @ f @ eq ) )
| ~ ( a0 @ ( A @ f @ eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ s @ le ) )
| ~ ( a0 @ ( B @ f @ eq ) )
| ~ ( a0 @ ( A @ f @ eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[9,13,17,11,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO617-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.07 % 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
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 19:40:24 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.60/0.68 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.77 % [INFO] Parsing done (88ms).
% 0.75/0.78 % [INFO] Running in sequential loop mode.
% 1.32/1.07 % [INFO] eprover registered as external prover.
% 1.32/1.08 % [INFO] Scanning for conjecture ...
% 1.32/1.12 % [INFO] 7 axioms and no conjecture found.
% 1.50/1.18 % [INFO] Problem is propositional (TPTP CNF).
% 1.50/1.18 % [INFO] Type checking passed.
% 1.50/1.19 % [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 ...
% 2.75/1.78 % External prover 'e' found a proof!
% 2.75/1.78 % [INFO] Killing All external provers ...
% 2.75/1.78 % Time passed: 1311ms (effective reasoning time: 1001ms)
% 2.75/1.79 % Axioms used in derivation (7): sos_01, sos_05, sos_02, sos_06, sos_03, sos_07, sos_04
% 2.75/1.79 % No. of inferences in proof: 15
% 2.75/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1311 ms resp. 1001 ms w/o parsing
% 2.97/1.82 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.97/1.82 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------