%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n017.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 09:17:51 AM UTC 2026
% Result : Unsatisfiable 4.80s 3.25s
% Output : Refutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 31 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 69 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 278 ( 40 ~; 38 |; 0 &; 200 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 0 ^; 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(c14_decl,type,
c14: $i ).
thf(c10_decl,type,
c10: $i ).
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(c11_decl,type,
c11: $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(c15_decl,type,
c15: $i ).
thf(f6_decl,type,
f6: $i > $i > $i ).
thf(c16_decl,type,
c16: $i ).
thf(f3_decl,type,
f3: $i > $i > $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f5_decl,type,
f5: $i > $i ).
thf(c12_decl,type,
c12: $i ).
thf(c13_decl,type,
c13: $i ).
thf(10,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p9 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_10) ).
thf(17,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p9 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(14,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f6 ) @ ( B @ ( A @ f6 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
thf(18,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f6 ) @ ( B @ ( A @ f6 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,negated_conjecture,
c16 @ ( c11 @ ( c15 @ f6 ) @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
thf(16,plain,
c16 @ ( c11 @ ( c15 @ f6 ) @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
thf(25,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,negated_conjecture,
c16 @ ( c13 @ ( c12 @ f5 @ f4 @ f3 ) @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
thf(20,plain,
c16 @ ( c13 @ ( c12 @ f5 @ f4 @ f3 ) @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
c15 @ ( c14 @ ( c10 @ f7 ) @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
thf(29,plain,
c15 @ ( c14 @ ( c10 @ f7 ) @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
thf(21,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p8 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_11) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p8 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,negated_conjecture,
c14 @ ( c11 @ p8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
thf(26,plain,
c14 @ ( c11 @ p8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
c10 @ ( c14 @ p9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
thf(23,plain,
c10 @ ( c14 @ p9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c13 @ ( c12 @ f5 @ f4 @ f3 ) @ ( c11 @ ( B @ f6 ) @ p2 ) )
| ~ ( B @ ( A @ ( c10 @ f7 ) @ p2 ) )
| ~ ( A @ ( c11 @ p8 ) )
| ~ ( c10 @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_15) ).
thf(30,plain,
! [B: $i,A: $i] :
( ~ ( c13 @ ( c12 @ f5 @ f4 @ f3 ) @ ( c11 @ ( B @ f6 ) @ p2 ) )
| ~ ( B @ ( A @ ( c10 @ f7 ) @ p2 ) )
| ~ ( A @ ( c11 @ p8 ) )
| ~ ( c10 @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
thf(19,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(40,plain,
$false,
inference(e,[status(thm)],[17,18,16,24,25,20,29,28,21,22,27,26,23,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.20/0.46 % Computer : n017.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sat Sep 26 18:09:20 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 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
% 1.22/1.29 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.69/1.56 % [INFO] Parsing done (258ms).
% 1.69/1.58 % [INFO] Running in sequential loop mode.
% 2.73/2.18 % [INFO] eprover registered as external prover.
% 2.73/2.19 % [INFO] Scanning for conjecture ...
% 2.94/2.36 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.10/2.46 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.10/2.46 % [INFO] Problem is propositional (TPTP CNF).
% 3.10/2.46 % [INFO] Type checking passed.
% 3.10/2.47 % [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 ...
% 4.80/3.24 % External prover 'e' found a proof!
% 4.80/3.24 % [INFO] Killing All external provers ...
% 4.80/3.24 % Time passed: 2573ms (effective reasoning time: 1656ms)
% 4.80/3.24 % Axioms used in derivation (0):
% 4.80/3.24 % No. of inferences in proof: 31
% 4.80/3.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2573 ms resp. 1656 ms w/o parsing
% 5.15/3.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.15/3.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------