%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN009-3 : 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 : n003.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 09:16:29 AM UTC 2026
% Result : Unsatisfiable 3.46s 2.41s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 138 ( 22 ~; 20 |; 0 &; 96 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $o ).
thf(t_decl,type,
t: $i > $i > $i > $o ).
thf(q_decl,type,
q: $i > $i > $i > $o ).
thf(r_decl,type,
r: $i > $i > $i > $o ).
thf(s_decl,type,
s: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(v_decl,type,
v: $i > $i > $i > $o ).
thf(u_decl,type,
u: $i > $i > $i > $o ).
thf(6,negated_conjecture,
c @ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(14,plain,
c @ s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
a @ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(20,plain,
a @ s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,negated_conjecture,
! [C: $i,B: $i,A: $i] :
~ ( C @ ( B @ ( A @ v ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
~ ( C @ ( B @ ( A @ v ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ v ) ) )
| ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ u ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ v ) ) )
| ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ u ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ r ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ r ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ q ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,negated_conjecture,
b @ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(11,plain,
b @ s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,negated_conjecture,
c @ ( c @ ( c @ u ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(19,plain,
c @ ( c @ ( c @ u ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ r ) ) )
| ( C @ ( B @ ( A @ q ) ) )
| ( C @ ( B @ ( A @ p ) ) )
| ~ ( C @ s )
| ~ ( B @ s )
| ~ ( A @ s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ r ) ) )
| ( C @ ( B @ ( A @ q ) ) )
| ( C @ ( B @ ( A @ p ) ) )
| ~ ( C @ s )
| ~ ( B @ s )
| ~ ( A @ s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[14,20,13,17,12,18,16,11,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % 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
% 0.13/0.59 % Computer : n003.cluster.edu
% 0.13/0.59 % Model : x86_64 x86_64
% 0.13/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.59 % Memory : 8046.5625MB
% 0.13/0.59 % OS : Linux 6.8.0-71-generic
% 0.13/0.59 % CPULimit : 300
% 0.13/0.59 % WCLimit : 300
% 0.13/0.59 % DateTime : Sat Sep 26 17:05:41 UTC 2026
% 0.17/0.59 % CPUTime :
% 0.17/0.59 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
% 0.98/1.16 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.34 % [INFO] Parsing done (172ms).
% 1.27/1.35 % [INFO] Running in sequential loop mode.
% 1.90/1.74 % [INFO] eprover registered as external prover.
% 1.90/1.75 % [INFO] Scanning for conjecture ...
% 2.10/1.85 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.25/1.91 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.25/1.91 % [INFO] Problem is propositional (TPTP CNF).
% 2.25/1.91 % [INFO] Type checking passed.
% 2.25/1.92 % [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 ...
% 3.46/2.41 % External prover 'e' found a proof!
% 3.46/2.41 % [INFO] Killing All external provers ...
% 3.46/2.41 % Time passed: 1671ms (effective reasoning time: 1052ms)
% 3.46/2.41 % Axioms used in derivation (0):
% 3.46/2.41 % No. of inferences in proof: 21
% 3.46/2.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1671 ms resp. 1052 ms w/o parsing
% 3.46/2.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.46/2.45 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------