%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN088-1.010 : 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 : n020.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 09:16:47 AM UTC 2026
% Result : Unsatisfiable 5.27s 3.30s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 22
% Syntax : Number of formulae : 45 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 142 ( 22 ~; 20 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 3 con; 0-10 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(q_8_decl,type,
q_8: $i > $o ).
thf(b_decl,type,
b: $i ).
thf(q_5_decl,type,
q_5: $i > $o ).
thf(q_4_decl,type,
q_4: $i > $o ).
thf(q_9_decl,type,
q_9: $i > $o ).
thf(q_6_decl,type,
q_6: $i > $o ).
thf(q_2_decl,type,
q_2: $i > $o ).
thf(q_10_decl,type,
q_10: $i > $o ).
thf(q_1_decl,type,
q_1: $i > $o ).
thf(q_3_decl,type,
q_3: $i > $o ).
thf(q_7_decl,type,
q_7: $i > $o ).
thf(17,axiom,
a @ q_8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_16) ).
thf(41,plain,
a @ q_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(16,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ q_10 )
| ~ ( I @ q_9 )
| ~ ( H @ q_8 )
| ~ ( G @ q_7 )
| ~ ( F @ q_6 )
| ~ ( E @ q_5 )
| ~ ( D @ q_4 )
| ~ ( C @ q_3 )
| ~ ( B @ q_2 )
| ~ ( A @ q_1 )
| ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_1) ).
thf(39,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ q_10 )
| ~ ( I @ q_9 )
| ~ ( H @ q_8 )
| ~ ( G @ q_7 )
| ~ ( F @ q_6 )
| ~ ( E @ q_5 )
| ~ ( D @ q_4 )
| ~ ( C @ q_3 )
| ~ ( B @ q_2 )
| ~ ( A @ q_1 )
| ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(12,axiom,
a @ q_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_10) ).
thf(35,plain,
a @ q_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,axiom,
b @ q_10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_21) ).
thf(31,plain,
b @ q_10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(19,axiom,
a @ q_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_8) ).
thf(43,plain,
a @ q_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(18,axiom,
a @ q_7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_14) ).
thf(42,plain,
a @ q_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(14,axiom,
a @ q_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_6) ).
thf(37,plain,
a @ q_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(2,axiom,
b @ q_8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_17) ).
thf(25,plain,
b @ q_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,axiom,
a @ q_10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_20) ).
thf(46,plain,
a @ q_10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(6,axiom,
b @ q_6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_13) ).
thf(29,plain,
b @ q_6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
b @ q_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_7) ).
thf(33,plain,
b @ q_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(5,axiom,
b @ q_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_19) ).
thf(28,plain,
b @ q_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,axiom,
a @ q_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_4) ).
thf(38,plain,
a @ q_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(21,axiom,
a @ q_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_18) ).
thf(45,plain,
a @ q_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(9,axiom,
b @ q_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_3) ).
thf(32,plain,
b @ q_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
b @ q_7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_15) ).
thf(34,plain,
b @ q_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,axiom,
a @ q_6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_12) ).
thf(44,plain,
a @ q_6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,axiom,
b @ q_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_9) ).
thf(27,plain,
b @ q_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
b @ q_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_11) ).
thf(26,plain,
b @ q_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
~ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ p ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_goal_1) ).
thf(23,plain,
~ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ ( a @ p ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,axiom,
a @ q_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_2) ).
thf(36,plain,
a @ q_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
b @ q_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_5) ).
thf(30,plain,
b @ q_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(47,plain,
$false,
inference(e,[status(thm)],[41,39,35,31,43,42,37,25,46,29,33,28,38,45,32,34,44,27,26,23,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.25/0.50 % Computer : n020.cluster.edu
% 0.25/0.50 % Model : x86_64 x86_64
% 0.25/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.50 % Memory : 8046.5625MB
% 0.25/0.50 % OS : Linux 6.8.0-71-generic
% 0.25/0.50 % CPULimit : 300
% 0.25/0.50 % WCLimit : 300
% 0.25/0.50 % DateTime : Sat Sep 26 17:11:34 UTC 2026
% 0.25/0.51 % CPUTime :
% 0.25/0.51 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
% 1.37/1.32 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.70/1.56 % [INFO] Parsing done (241ms).
% 1.70/1.58 % [INFO] Running in sequential loop mode.
% 2.82/2.20 % [INFO] eprover registered as external prover.
% 2.82/2.21 % [INFO] Scanning for conjecture ...
% 3.01/2.34 % [INFO] Found a conjecture (or negated_conjecture) and 21 axioms. Running axiom selection ...
% 3.17/2.43 % [INFO] Axiom selection finished. Selected 21 axioms (removed 0 axioms).
% 3.17/2.46 % [INFO] Problem is propositional (TPTP CNF).
% 3.17/2.46 % [INFO] Type checking passed.
% 3.17/2.47 % [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 ...
% 4.93/3.29 % External prover 'e' found a proof!
% 4.93/3.30 % [INFO] Killing All external provers ...
% 4.93/3.30 % Time passed: 2580ms (effective reasoning time: 1707ms)
% 5.27/3.30 % Axioms used in derivation (21): s4_4, s4_14, s4_17, s4_1, s4_8, s4_10, s4_6, s4_3, s4_15, s4_19, s4_12, s4_18, s4_9, s4_13, s4_5, s4_20, s4_2, s4_11, s4_21, s4_16, s4_7
% 5.27/3.30 % No. of inferences in proof: 45
% 5.27/3.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2580 ms resp. 1707 ms w/o parsing
% 5.27/3.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.27/3.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------