%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n018.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 09:17:50 AM UTC 2026
% Result : Unsatisfiable 4.14s 2.06s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of formulae : 27 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 218 ( 20 ~; 18 |; 0 &; 180 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(c6_decl,type,
c6: $i ).
thf(f3_decl,type,
f3: $i > $i > $i ).
thf(c8_decl,type,
c8: $i ).
thf(f5_decl,type,
f5: $i > $i ).
thf(c9_decl,type,
c9: $i ).
thf(c7_decl,type,
c7: $i ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(14,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
thf(20,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,negated_conjecture,
c9 @ f5 @ ( c7 @ f5 @ f3 ) @ ( c8 @ f3 ) @ ( c7 @ f5 @ ( c6 @ f3 ) @ p2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
thf(21,plain,
c9 @ f5 @ ( c7 @ f5 @ f3 ) @ ( c8 @ f3 ) @ ( c7 @ f5 @ ( c6 @ f3 ) @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ( B @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ( B @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
thf(16,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,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/sandbox2/benchmark/theBenchmark.p',p2_13) ).
thf(19,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)],[13]) ).
thf(10,negated_conjecture,
! [C: $i,B: $i,A: $i] : ( C @ ( A @ f3 ) @ ( B @ f3 ) @ ( C @ ( B @ f3 ) @ ( A @ f3 ) @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( A @ f3 ) @ ( B @ f3 ) @ ( C @ ( B @ f3 ) @ ( A @ f3 ) @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,negated_conjecture,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ f3 ) @ ( A @ f3 ) @ ( C @ ( B @ ( A @ f3 ) @ f3 ) @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ f3 ) @ ( A @ f3 ) @ ( C @ ( B @ ( A @ f3 ) @ f3 ) @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ f3 ) @ ( C @ ( A @ f3 ) @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ f3 ) @ ( C @ ( A @ f3 ) @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] : ( A @ ( B @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
thf(26,plain,
! [B: $i,A: $i] : ( A @ ( B @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
~ ( c9 @ f5 @ ( c8 @ f3 ) @ ( c6 @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
thf(23,plain,
~ ( c9 @ f5 @ ( c8 @ f3 ) @ ( c6 @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(38,plain,
$false,
inference(e,[status(thm)],[14,20,21,17,22,18,16,19,15,24,25,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % 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
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sat Sep 26 18:15:52 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.86/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.06/1.03 % [INFO] Parsing done (154ms).
% 1.06/1.04 % [INFO] Running in sequential loop mode.
% 1.81/1.37 % [INFO] eprover registered as external prover.
% 1.81/1.38 % [INFO] Scanning for conjecture ...
% 2.05/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.29/1.53 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.29/1.53 % [INFO] Problem is propositional (TPTP CNF).
% 2.29/1.53 % [INFO] Type checking passed.
% 2.29/1.53 % [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 ...
% 4.14/2.06 % External prover 'e' found a proof!
% 4.14/2.06 % [INFO] Killing All external provers ...
% 4.14/2.06 % Time passed: 1530ms (effective reasoning time: 1010ms)
% 4.14/2.06 % Axioms used in derivation (0):
% 4.14/2.06 % No. of inferences in proof: 27
% 4.14/2.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1530 ms resp. 1010 ms w/o parsing
% 4.14/2.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.14/2.10 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------