%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN047-1 : TPTP v9.3.1. Released v1.0.0.
% 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 09:16:35 AM UTC 2026
% Result : Unsatisfiable 2.84s 7.11s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 41 ( 21 ~; 20 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $o ).
thf(q_decl,type,
q: $o ).
thf(s_decl,type,
s: $o ).
thf(r_decl,type,
r: $o ).
thf(2,negated_conjecture,
( s
| q
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(8,plain,
( s
| q
| ~ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
( s
| q
| ~ p ),
inference(cnf,[status(esa)],[8]) ).
thf(5,negated_conjecture,
( r
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(6,plain,
( r
| ~ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,plain,
( r
| ~ q ),
inference(cnf,[status(esa)],[6]) ).
thf(3,negated_conjecture,
( s
| ~ r
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(9,plain,
( s
| ~ r
| ~ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
( s
| ~ r
| ~ p ),
inference(cnf,[status(esa)],[9]) ).
thf(1,negated_conjecture,
p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(7,plain,
p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,negated_conjecture,
~ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(10,plain,
~ s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,plain,
~ s,
inference(polarity_switch,[status(thm)],[10]) ).
thf(15,plain,
( $false
| ~ r
| ~ $true ),
inference(rewrite,[status(thm)],[13,7,11]) ).
thf(16,plain,
~ r,
inference(simp,[status(thm)],[15]) ).
thf(17,plain,
( $false
| ~ q ),
inference(rewrite,[status(thm)],[12,16]) ).
thf(18,plain,
~ q,
inference(simp,[status(thm)],[17]) ).
thf(19,plain,
( $false
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[14,18,7,11]) ).
thf(20,plain,
$false,
inference(simp,[status(thm)],[19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN047-1 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.15/5.40 % Computer : n016.cluster.edu
% 0.15/5.40 % Model : x86_64 x86_64
% 0.15/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.40 % Memory : 8046.5625MB
% 0.15/5.40 % OS : Linux 6.8.0-71-generic
% 0.15/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.41 % DateTime : Sat Sep 26 17:11:21 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 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
% 0.18/5.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/6.17 % [INFO] Parsing done (175ms).
% 1.25/6.18 % [INFO] Running in sequential loop mode.
% 1.81/6.59 % [INFO] eprover registered as external prover.
% 2.00/6.60 % [INFO] Scanning for conjecture ...
% 2.00/6.68 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.17/6.72 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.17/6.72 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/6.72 % [INFO] Type checking passed.
% 2.17/6.73 % [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 ...
% 2.84/7.11 % [INFO] Killing All external provers ...
% 2.84/7.11 % Time passed: 1560ms (effective reasoning time: 919ms)
% 2.84/7.11 % Axioms used in derivation (0):
% 2.84/7.11 % No. of inferences in proof: 20
% 2.84/7.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1560 ms resp. 919 ms w/o parsing
% 3.15/7.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.15/7.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------