%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN069-1 : 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 09:16:43 AM UTC 2026
% Result : Unsatisfiable 3.37s 2.28s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 152 ( 34 ~; 36 |; 0 &; 82 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $o ).
thf(big_g_decl,type,
big_g: $i > $o ).
thf(g_decl,type,
g: $i > $i ).
thf(big_h_decl,type,
big_h: $i > $i > $o ).
thf(f_decl,type,
f: $i > $i ).
thf(big_k_decl,type,
big_k: $i > $o ).
thf(big_j_decl,type,
big_j: $i > $i > $o ).
thf(big_l_decl,type,
big_l: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ( A @ g @ big_g )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(10,plain,
! [A: $i] :
( ( A @ g @ big_g )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ ( a @ big_j ) )
| ~ ( A @ ( a @ big_h ) )
| ~ ( A @ big_g ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(25,plain,
! [A: $i] :
( ( A @ ( a @ big_j ) )
| ~ ( A @ ( a @ big_h ) )
| ~ ( A @ big_g ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ big_k )
| ~ ( B @ ( A @ big_h ) )
| ~ ( B @ big_g )
| ( A @ f @ big_g )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( B @ big_k )
| ~ ( B @ ( A @ big_h ) )
| ~ ( B @ big_g )
| ( A @ f @ big_g )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( A @ big_k )
| ~ ( A @ big_l ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(20,plain,
! [A: $i] :
( ~ ( A @ big_k )
| ~ ( A @ big_l ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
a @ big_f,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(22,plain,
a @ big_f,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ big_k )
| ~ ( B @ ( A @ big_h ) )
| ~ ( B @ big_g )
| ~ ( A @ f @ ( A @ big_j ) )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( B @ big_k )
| ~ ( B @ ( A @ big_h ) )
| ~ ( B @ big_g )
| ~ ( A @ f @ ( A @ big_j ) )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ big_k )
| ~ ( B @ ( A @ big_h ) )
| ~ ( B @ big_g )
| ( A @ f @ ( A @ big_h ) )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( B @ big_k )
| ~ ( B @ ( A @ big_h ) )
| ~ ( B @ big_g )
| ( A @ f @ ( A @ big_h ) )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( A @ g @ ( A @ big_h ) )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(11,plain,
! [A: $i] :
( ( A @ g @ ( A @ big_h ) )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ big_l )
| ~ ( A @ ( a @ big_h ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(23,plain,
! [A: $i] :
( ( A @ big_l )
| ~ ( A @ ( a @ big_h ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[10,25,14,20,22,18,16,11,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN069-1 : 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
% 0.13/0.40 % Computer : n011.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 17:09:14 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 0.87/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.16 % [INFO] Parsing done (184ms).
% 1.25/1.18 % [INFO] Running in sequential loop mode.
% 1.81/1.59 % [INFO] eprover registered as external prover.
% 1.81/1.59 % [INFO] Scanning for conjecture ...
% 2.01/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 2.19/1.72 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 2.19/1.73 % [INFO] Problem is propositional (TPTP CNF).
% 2.19/1.74 % [INFO] Type checking passed.
% 2.19/1.74 % [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 ...
% 3.37/2.27 % External prover 'e' found a proof!
% 3.37/2.27 % [INFO] Killing All external provers ...
% 3.37/2.27 % Time passed: 1731ms (effective reasoning time: 1091ms)
% 3.37/2.27 % Axioms used in derivation (7): clause_5, clause_2, clause_1, clause_7, clause_4, clause_6, clause_3
% 3.37/2.28 % No. of inferences in proof: 19
% 3.37/2.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1731 ms resp. 1091 ms w/o parsing
% 3.65/2.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.65/2.32 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------