%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% 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 : n001.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 09:16:33 AM UTC 2026
% Result : Unsatisfiable 4.39s 2.70s
% Output : Refutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 22
% Syntax : Number of formulae : 45 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 157 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 284 ( 76 ~; 112 |; 0 &; 96 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 10 con; 0-1 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(m1_decl,type,
m1: $o ).
thf(m3_decl,type,
m3: $o ).
thf(p_decl,type,
p: $i > $o ).
thf(fy_decl,type,
fy: $i > $i ).
thf(cx_decl,type,
cx: $i ).
thf(m2_decl,type,
m2: $o ).
thf(q_decl,type,
q: $i > $o ).
thf(cw_decl,type,
cw: $i ).
thf(fz5_decl,type,
fz5: $i > $i ).
thf(fz2_decl,type,
fz2: $i > $i ).
thf(fy3_decl,type,
fy3: $i > $i ).
thf(cvv_decl,type,
cvv: $i ).
thf(cuu_decl,type,
cuu: $i ).
thf(cv_decl,type,
cv: $i ).
thf(cu_decl,type,
cu: $i ).
thf(21,negated_conjecture,
( ( cv @ p )
| m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
thf(29,plain,
( ( cv @ p )
| m2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(8,negated_conjecture,
! [A: $i] :
( ( A @ fz5 @ q )
| ( A @ q )
| m3
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(41,plain,
! [A: $i] :
( ( A @ fz5 @ q )
| ( A @ q )
| m3
| ~ m2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,negated_conjecture,
! [A: $i] :
( ( A @ fy3 @ p )
| ( A @ p )
| m3
| m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
thf(39,plain,
! [A: $i] :
( ( A @ fy3 @ p )
| ( A @ p )
| m3
| m1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(12,negated_conjecture,
! [A: $i] :
( ( A @ fz2 @ q )
| ( A @ q )
| m2
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
thf(35,plain,
! [A: $i] :
( ( A @ fz2 @ q )
| ( A @ q )
| m2
| ~ m3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(13,negated_conjecture,
! [A: $i] :
( m3
| m1
| ~ ( A @ fy3 @ p )
| ~ ( A @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
thf(31,plain,
! [A: $i] :
( m3
| m1
| ~ ( A @ fy3 @ p )
| ~ ( A @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ( cx @ p )
| m3
| ~ ( A @ p )
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(43,plain,
! [A: $i] :
( ( cx @ p )
| m3
| ~ ( A @ p )
| ~ m1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,negated_conjecture,
( m2
| ~ ( cvv @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
thf(42,plain,
( m2
| ~ ( cvv @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,negated_conjecture,
! [A: $i] :
( ( cx @ p )
| m1
| ~ ( A @ p )
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(24,plain,
! [A: $i] :
( ( cx @ p )
| m1
| ~ ( A @ p )
| ~ m3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( A @ p )
| m3
| ~ ( cx @ p )
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(37,plain,
! [A: $i] :
( ( A @ p )
| m3
| ~ ( cx @ p )
| ~ m1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,negated_conjecture,
! [A: $i] :
( ( A @ q )
| m3
| m2
| ~ ( cw @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
thf(25,plain,
! [A: $i] :
( ( A @ q )
| m3
| m2
| ~ ( cw @ q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ q )
| ~ ( A @ q )
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( B @ q )
| ~ ( A @ q )
| ~ m1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ( cw @ q )
| ~ ( A @ q )
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(28,plain,
! [A: $i] :
( ( cw @ q )
| ~ ( A @ q )
| ~ m3
| ~ m2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ p )
| ~ ( A @ p )
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( B @ p )
| ~ ( A @ p )
| ~ m2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( A @ fy @ p )
| ( A @ p )
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(32,plain,
! [A: $i] :
( ( A @ fy @ p )
| ( A @ p )
| ~ m3
| ~ m1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,negated_conjecture,
( ( cu @ q )
| m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
thf(34,plain,
( ( cu @ q )
| m1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(15,negated_conjecture,
! [A: $i] :
( ( cw @ q )
| m3
| m2
| ~ ( A @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
thf(44,plain,
! [A: $i] :
( ( cw @ q )
| m3
| m2
| ~ ( A @ q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( A @ fy @ p )
| ~ ( A @ p )
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(27,plain,
! [A: $i] :
( ~ ( A @ fy @ p )
| ~ ( A @ p )
| ~ m3
| ~ m1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,negated_conjecture,
! [A: $i] :
( m2
| ~ ( A @ fz2 @ q )
| ~ ( A @ q )
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(40,plain,
! [A: $i] :
( m2
| ~ ( A @ fz2 @ q )
| ~ ( A @ q )
| ~ m3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,negated_conjecture,
( m1
| ~ ( cuu @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
thf(26,plain,
( m1
| ~ ( cuu @ q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ( A @ q )
| ~ ( cw @ q )
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(23,plain,
! [A: $i] :
( ( A @ q )
| ~ ( cw @ q )
| ~ m3
| ~ m2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
! [A: $i] :
( m3
| ~ ( A @ fz5 @ q )
| ~ ( A @ q )
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(36,plain,
! [A: $i] :
( m3
| ~ ( A @ fz5 @ q )
| ~ ( A @ q )
| ~ m2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
! [A: $i] :
( ( A @ p )
| m1
| ~ ( cx @ p )
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(30,plain,
! [A: $i] :
( ( A @ p )
| m1
| ~ ( cx @ p )
| ~ m3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(67,plain,
$false,
inference(e,[status(thm)],[29,41,39,35,31,43,42,24,37,25,33,28,38,32,34,44,27,40,26,23,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.14/0.39 % Computer : n001.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 17:11:28 UTC 2026
% 0.17/0.39 % CPUTime :
% 0.17/0.40 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
% 1.32/1.20 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.69/1.45 % [INFO] Parsing done (242ms).
% 1.69/1.47 % [INFO] Running in sequential loop mode.
% 2.58/1.94 % [INFO] eprover registered as external prover.
% 2.58/1.95 % [INFO] Scanning for conjecture ...
% 2.80/2.07 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.97/2.14 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.97/2.14 % [INFO] Problem is propositional (TPTP CNF).
% 2.97/2.14 % [INFO] Type checking passed.
% 2.97/2.15 % [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 ...
% 4.39/2.70 % External prover 'e' found a proof!
% 4.39/2.70 % [INFO] Killing All external provers ...
% 4.39/2.70 % Time passed: 2100ms (effective reasoning time: 1219ms)
% 4.39/2.70 % Axioms used in derivation (0):
% 4.39/2.70 % No. of inferences in proof: 45
% 4.39/2.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2100 ms resp. 1219 ms w/o parsing
% 4.39/2.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.39/2.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------