%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 09:16:39 AM UTC 2026
% Result : Unsatisfiable 2.92s 2.43s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 16 ~; 14 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_decl,type,
big_p: $i > $o ).
thf(d_decl,type,
d: $i ).
thf(big_f_decl,type,
big_f: $i > $o ).
thf(big_g_decl,type,
big_g: $i > $o ).
thf(big_q_decl,type,
big_q: $i > $o ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(big_s_decl,type,
big_s: $i > $o ).
thf(big_r_decl,type,
big_r: $i > $o ).
thf(1,negated_conjecture,
d @ big_p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(10,plain,
d @ big_p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( B @ big_g )
| ~ ( B @ big_f )
| ~ ( A @ big_s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( B @ big_g )
| ~ ( B @ big_f )
| ~ ( A @ big_s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ big_q )
| ~ ( A @ big_p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( B @ big_q )
| ~ ( A @ big_p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
( ( c @ big_q )
| ~ ( b @ big_r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(20,plain,
( ( c @ big_q )
| ~ ( b @ big_r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
( ( c @ big_s )
| ~ ( b @ big_r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(22,plain,
( ( c @ big_s )
| ~ ( b @ big_r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,negated_conjecture,
~ ( d @ big_g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(12,plain,
~ ( d @ big_g ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
( ( c @ big_s )
| ~ ( b @ big_q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(18,plain,
( ( c @ big_s )
| ~ ( b @ big_q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
( ( c @ big_q )
| ~ ( b @ big_q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(16,plain,
( ( c @ big_q )
| ~ ( b @ big_q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
d @ big_f,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(11,plain,
d @ big_f,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(26,plain,
$false,
inference(e,[status(thm)],[10,24,14,20,22,12,18,16,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.64 % Computer : n008.cluster.edu
% 0.14/0.64 % Model : x86_64 x86_64
% 0.14/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.64 % Memory : 8046.5625MB
% 0.14/0.64 % OS : Linux 6.8.0-71-generic
% 0.14/0.64 % CPULimit : 300
% 0.14/0.64 % WCLimit : 300
% 0.14/0.64 % DateTime : Sat Sep 26 17:08:58 UTC 2026
% 0.14/0.64 % CPUTime :
% 0.14/0.64 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.95/1.41 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.12/1.55 % [INFO] Parsing done (139ms).
% 1.12/1.56 % [INFO] Running in sequential loop mode.
% 1.43/1.79 % [INFO] eprover registered as external prover.
% 1.64/1.80 % [INFO] Scanning for conjecture ...
% 1.64/1.88 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 1.83/1.92 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.83/1.93 % [INFO] Problem is propositional (TPTP CNF).
% 1.83/1.93 % [INFO] Type checking passed.
% 1.83/1.94 % [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 ...
% 2.92/2.42 % External prover 'e' found a proof!
% 2.92/2.42 % [INFO] Killing All external provers ...
% 2.92/2.42 % Time passed: 1594ms (effective reasoning time: 856ms)
% 2.92/2.42 % Axioms used in derivation (6): clause_5, clause_2, clause_1, clause_4, clause_6, clause_3
% 2.92/2.42 % No. of inferences in proof: 19
% 2.92/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1594 ms resp. 856 ms w/o parsing
% 2.92/2.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.92/2.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------