%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN074-1 : 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 : n011.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 5.38s 3.51s
% Output : Refutation 5.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 236 ( 36 ~; 48 |; 0 &; 152 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 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 : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% 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 = b )
| ~ ( B @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( B = b )
| ~ ( B @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ h ) @ ( B @ f @ big_f ) )
| ( ( C @ ( B @ h ) )
!= C )
| ( A @ ( B @ f @ big_f ) )
| ( A
!= ( B @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ h ) @ ( B @ f @ big_f ) )
| ( ( C @ ( B @ h ) )
!= C )
| ( A @ ( B @ f @ big_f ) )
| ( A
!= ( B @ g ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( ( A @ f )
= A )
| ( B
= ( A @ g ) )
| ~ ( B @ ( A @ f @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( ( A @ f )
= A )
| ( B
= ( A @ g ) )
| ~ ( B @ ( A @ f @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ( ( B @ f )
= B )
| ( A @ ( B @ f @ big_f ) )
| ( A
!= ( B @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( ( B @ f )
= B )
| ( A @ ( B @ f @ big_f ) )
| ( A
!= ( B @ g ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( A = a )
| ~ ( B @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( A = a )
| ~ ( B @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( ( B @ ( A @ h ) )
!= B )
| ( ( A @ f )
!= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(18,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( ( B @ ( A @ h ) )
!= B )
| ( ( A @ f )
!= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ( ( B @ ( A @ h ) )
= B )
| ( B @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( ( A @ f )
!= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ h ) )
= B )
| ( B @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( ( A @ f )
!= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ h ) )
= C )
| ( C @ ( B @ h ) @ ( B @ f @ big_f ) )
| ( A @ ( B @ f @ big_f ) )
| ( A
!= ( B @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(19,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ h ) )
= C )
| ( C @ ( B @ h ) @ ( B @ f @ big_f ) )
| ( A @ ( B @ f @ big_f ) )
| ( A
!= ( B @ g ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ h ) )
= C )
| ( C @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( B
= ( A @ g ) )
| ~ ( B @ ( A @ f @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ h ) )
= C )
| ( C @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( B
= ( A @ g ) )
| ~ ( B @ ( A @ f @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ big_f ) )
| ( B != b )
| ( A != a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ big_f ) )
| ( B != b )
| ( A != a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( ( C @ ( A @ h ) )
!= C )
| ( B
= ( A @ g ) )
| ~ ( B @ ( A @ f @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ h ) @ ( A @ f @ big_f ) )
| ( ( C @ ( A @ h ) )
!= C )
| ( B
= ( A @ g ) )
| ~ ( B @ ( A @ f @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(60,plain,
$false,
inference(e,[status(thm)],[42,14,13,12,39,18,16,19,15,45,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.13 % 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
% 0.25/0.52 % Computer : n011.cluster.edu
% 0.25/0.52 % Model : x86_64 x86_64
% 0.25/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.52 % Memory : 8046.5625MB
% 0.25/0.52 % OS : Linux 6.8.0-71-generic
% 0.25/0.52 % CPULimit : 300
% 0.25/0.52 % WCLimit : 300
% 0.25/0.52 % DateTime : Sat Sep 26 17:09:44 UTC 2026
% 0.25/0.52 % CPUTime :
% 0.25/0.52 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
% 1.40/1.31 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.72/1.58 % [INFO] Parsing done (271ms).
% 1.90/1.60 % [INFO] Running in sequential loop mode.
% 2.74/2.20 % [INFO] eprover registered as external prover.
% 2.74/2.21 % [INFO] Scanning for conjecture ...
% 2.93/2.39 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 3.09/2.49 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 3.09/2.49 % [INFO] Problem is propositional (TPTP CNF).
% 3.27/2.50 % [INFO] Type checking passed.
% 3.27/2.51 % [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 ...
% 5.38/3.51 % External prover 'e' found a proof!
% 5.38/3.51 % [INFO] Killing All external provers ...
% 5.38/3.51 % Time passed: 2854ms (effective reasoning time: 1896ms)
% 5.38/3.51 % Axioms used in derivation (3): clause_2, clause_1, clause_3
% 5.38/3.51 % No. of inferences in proof: 23
% 5.38/3.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2854 ms resp. 1896 ms w/o parsing
% 5.38/3.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.38/3.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------