%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN001-1.005 : 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 : 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 09:16:28 AM UTC 2026
% Result : Unsatisfiable 3.11s 1.50s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 32
% Syntax : Number of formulae : 65 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 321 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 416 ( 160 ~; 256 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_decl,type,
p_1: $o ).
thf(p_2_decl,type,
p_2: $o ).
thf(p_3_decl,type,
p_3: $o ).
thf(p_4_decl,type,
p_4: $o ).
thf(p_5_decl,type,
p_5: $o ).
thf(17,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).
thf(56,plain,
( p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(29,negated_conjecture,
( p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).
thf(52,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(26,negated_conjecture,
( ~ p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).
thf(61,plain,
( ~ p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(31,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).
thf(60,plain,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(28,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).
thf(53,plain,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(12,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).
thf(41,plain,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(13,negated_conjecture,
( p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpp) ).
thf(39,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(14,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).
thf(35,plain,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(25,negated_conjecture,
( p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).
thf(50,plain,
( p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(3,negated_conjecture,
( p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).
thf(43,plain,
( p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(27,negated_conjecture,
( p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).
thf(58,plain,
( p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(7,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).
thf(42,plain,
( p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).
thf(37,plain,
( ~ p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).
thf(46,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(22,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).
thf(57,plain,
( ~ p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(9,negated_conjecture,
( p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).
thf(38,plain,
( p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
( p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).
thf(33,plain,
( p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,negated_conjecture,
( ~ p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).
thf(34,plain,
( ~ p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,negated_conjecture,
( p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).
thf(45,plain,
( p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,negated_conjecture,
( p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).
thf(64,plain,
( p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(18,negated_conjecture,
( ~ p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).
thf(44,plain,
( ~ p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(16,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).
thf(59,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(21,negated_conjecture,
( p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).
thf(54,plain,
( p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).
thf(49,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(15,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).
thf(48,plain,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(30,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).
thf(63,plain,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(2,negated_conjecture,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).
thf(40,plain,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(32,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).
thf(55,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(1,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).
thf(36,plain,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(20,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).
thf(51,plain,
( ~ p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).
thf(47,plain,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(23,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).
thf(62,plain,
( p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(103,plain,
$false,
inference(e,[status(thm)],[56,52,61,60,53,41,39,35,50,43,58,42,37,46,57,38,33,34,45,64,44,59,54,49,48,63,40,55,36,51,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN001-1.005 : 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
% 0.14/0.42 % Computer : n009.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sat Sep 26 17:03:15 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 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
% 0.68/0.72 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.92/0.83 % [INFO] Parsing done (107ms).
% 0.92/0.84 % [INFO] Running in sequential loop mode.
% 1.48/1.03 % [INFO] eprover registered as external prover.
% 1.48/1.03 % [INFO] Scanning for conjecture ...
% 1.48/1.10 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.48/1.13 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.48/1.13 % [INFO] Problem is propositional (TPTP CNF).
% 1.78/1.13 % [INFO] Type checking passed.
% 1.78/1.13 % [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 ...
% 2.68/1.50 % External prover 'e' found a proof!
% 2.68/1.50 % [INFO] Killing All external provers ...
% 3.11/1.50 % Time passed: 987ms (effective reasoning time: 657ms)
% 3.11/1.50 % Axioms used in derivation (0):
% 3.11/1.50 % No. of inferences in proof: 65
% 3.11/1.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 987 ms resp. 657 ms w/o parsing
% 3.11/1.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.11/1.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------