%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN075-1 : 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 : 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 09:16:44 AM UTC 2026
% Result : Unsatisfiable 4.78s 3.07s
% Output : Refutation 4.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 34 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 212 ( 34 ~; 42 |; 0 &; 136 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $i > $o ).
thf(f_decl,type,
f: $i > $i ).
thf(g_decl,type,
g: $i > $i ).
thf(h_decl,type,
h: $i > $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ big_f ) )
| ( B != b )
| ( A != a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ big_f ) )
| ( B != b )
| ( A != a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( A
= ( B @ g ) )
| ~ ( B @ f @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( A
= ( B @ g ) )
| ~ ( B @ f @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ( ( B @ ( A @ h ) )
= B )
| ( A @ f @ ( B @ ( A @ h ) @ big_f ) )
| ( ( A @ f )
!= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ h ) )
= B )
| ( A @ f @ ( B @ ( A @ h ) @ big_f ) )
| ( ( A @ f )
!= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ h ) )
= C )
| ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( B @ f @ ( A @ big_f ) )
| ( A
!= ( B @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ h ) )
= C )
| ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( B @ f @ ( A @ big_f ) )
| ( A
!= ( B @ g ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( ( B @ f )
= B )
| ( A
!= ( B @ g ) )
| ~ ( B @ f @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( ( B @ f )
= B )
| ( A
!= ( B @ g ) )
| ~ ( B @ f @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( B = b )
| ~ ( B @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( B = b )
| ~ ( B @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( ( B @ f )
= B )
| ( B @ f @ ( A @ big_f ) )
| ( A
!= ( B @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( ( B @ f )
= B )
| ( B @ f @ ( A @ big_f ) )
| ( A
!= ( B @ g ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( ( C @ ( B @ h ) )
!= C )
| ( B @ f @ ( A @ big_f ) )
| ( A
!= ( B @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ f @ ( C @ ( B @ h ) @ big_f ) )
| ( ( C @ ( B @ h ) )
!= C )
| ( B @ f @ ( A @ big_f ) )
| ( A
!= ( B @ g ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( A = a )
| ~ ( B @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( A = a )
| ~ ( B @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ f @ ( B @ ( A @ h ) @ big_f ) )
| ( ( B @ ( A @ h ) )
!= B )
| ( ( A @ f )
!= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( A @ f @ ( B @ ( A @ h ) @ big_f ) )
| ( ( B @ ( A @ h ) )
!= B )
| ( ( A @ f )
!= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(46,plain,
$false,
inference(e,[status(thm)],[42,14,13,17,12,39,16,11,36,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.15/0.39 % Computer : n018.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat Sep 26 17:11:52 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 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
% 1.30/1.26 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.70/1.44 % [INFO] Parsing done (171ms).
% 1.70/1.45 % [INFO] Running in sequential loop mode.
% 2.70/2.09 % [INFO] eprover registered as external prover.
% 2.70/2.10 % [INFO] Scanning for conjecture ...
% 2.91/2.27 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 3.07/2.35 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 3.07/2.35 % [INFO] Problem is propositional (TPTP CNF).
% 3.07/2.36 % [INFO] Type checking passed.
% 3.07/2.36 % [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 ...
% 4.78/3.06 % External prover 'e' found a proof!
% 4.78/3.06 % [INFO] Killing All external provers ...
% 4.78/3.06 % Time passed: 2459ms (effective reasoning time: 1612ms)
% 4.78/3.07 % Axioms used in derivation (3): clause_3, clause_2, clause_1
% 4.78/3.07 % No. of inferences in proof: 21
% 4.78/3.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2459 ms resp. 1612 ms w/o parsing
% 4.78/3.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.78/3.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------