%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN077-1 : 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 : n005.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 09:16:45 AM UTC 2026
% Result : Unsatisfiable 3.29s 2.27s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 140 ( 20 ~; 24 |; 0 &; 96 @)
% ( 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; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(g_decl,type,
g: $i > $i > $i ).
thf(h_decl,type,
h: $i > $i ).
thf(i_decl,type,
i: $i > $i > $i ).
thf(f_decl,type,
f: $i > $i ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ big_f ) )
| ~ ( B @ ( A @ g ) @ ( C @ big_f ) )
| ~ ( B @ ( A @ big_f ) )
| ~ ( a @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ big_f ) )
| ~ ( B @ ( A @ g ) @ ( C @ big_f ) )
| ~ ( B @ ( A @ big_f ) )
| ~ ( a @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ f @ ( A @ big_f ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( B @ f @ ( A @ big_f ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ g ) @ big_f ) )
| ~ ( B @ ( A @ big_f ) )
| ~ ( a @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ g ) @ big_f ) )
| ~ ( B @ ( A @ big_f ) )
| ~ ( a @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ( a @ ( B @ big_f ) )
| ( A @ ( A @ ( B @ i ) @ big_f ) )
| ~ ( B @ h @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( a @ ( B @ big_f ) )
| ( A @ ( A @ ( B @ i ) @ big_f ) )
| ~ ( B @ h @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( B @ f @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( B @ f @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( a @ ( A @ big_f ) )
| ( A @ h @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(11,plain,
! [A: $i] :
( ( a @ ( A @ big_f ) )
| ( A @ h @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ h @ ( B @ big_f ) )
| ( A @ h @ ( B @ ( A @ i ) @ big_f ) )
| ( a @ ( A @ big_f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(8,plain,
! [B: $i,A: $i] :
( ~ ( A @ h @ ( B @ big_f ) )
| ( A @ h @ ( B @ ( A @ i ) @ big_f ) )
| ( a @ ( A @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[10,21,9,12,18,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN077-1 : 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
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 17:09:46 UTC 2026
% 0.06/0.39 % CPUTime :
% 0.06/0.39 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
% 0.89/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.16 % [INFO] Parsing done (187ms).
% 1.34/1.17 % [INFO] Running in sequential loop mode.
% 1.86/1.58 % [INFO] eprover registered as external prover.
% 1.86/1.59 % [INFO] Scanning for conjecture ...
% 2.07/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.23/1.73 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.23/1.74 % [INFO] Problem is propositional (TPTP CNF).
% 2.23/1.74 % [INFO] Type checking passed.
% 2.23/1.74 % [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 ...
% 3.29/2.26 % External prover 'e' found a proof!
% 3.29/2.26 % [INFO] Killing All external provers ...
% 3.29/2.27 % Time passed: 1730ms (effective reasoning time: 1088ms)
% 3.29/2.27 % Axioms used in derivation (2): clause_2, clause_1
% 3.29/2.27 % No. of inferences in proof: 15
% 3.29/2.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1730 ms resp. 1088 ms w/o parsing
% 3.57/2.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.57/2.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------