%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n019.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 08:03:12 AM UTC 2026
% Result : Unsatisfiable 4.49s 3.09s
% Output : Refutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 142 ( 12 ~; 10 |; 0 &; 120 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 3 con; 0-5 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $i > $i > $o ).
thf(s1_decl,type,
s1: $i ).
thf(s0_decl,type,
s0: $i ).
thf(2,axiom,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
thf(10,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
thf(17,plain,
! [A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
thf(11,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) )
| ~ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(8,plain,
~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
thf(19,plain,
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[10,13,17,11,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.22/0.47 % Computer : n019.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Sat Sep 26 00:16:22 UTC 2026
% 0.22/0.47 % CPUTime :
% 0.22/0.47 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.24/1.28 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.72/1.54 % [INFO] Parsing done (250ms).
% 1.72/1.56 % [INFO] Running in sequential loop mode.
% 2.48/2.12 % [INFO] eprover registered as external prover.
% 2.48/2.13 % [INFO] Scanning for conjecture ...
% 2.76/2.25 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.76/2.29 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.90/2.32 % [INFO] Problem is propositional (TPTP CNF).
% 2.90/2.32 % [INFO] Type checking passed.
% 2.90/2.33 % [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 ...
% 4.49/3.08 % External prover 'e' found a proof!
% 4.49/3.09 % [INFO] Killing All external provers ...
% 4.49/3.09 % Time passed: 2419ms (effective reasoning time: 1521ms)
% 4.49/3.09 % Axioms used in derivation (6): rule4, rule5, rule1, rule2, rule3, init
% 4.49/3.09 % No. of inferences in proof: 15
% 4.49/3.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2419 ms resp. 1521 ms w/o parsing
% 4.49/3.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.49/3.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------