%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 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 : n015.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 09:17:10 AM UTC 2026
% Result : Unsatisfiable 3.10s 2.22s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 130 ( 14 ~; 12 |; 0 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $o ).
thf(f_decl,type,
f: $i > $i ).
thf(g_decl,type,
g: $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(1,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( D @ p ) ) )
| ~ ( C @ ( D @ ( A @ p ) ) )
| ( C @ ( B @ ( A @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(10,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( D @ p ) ) )
| ~ ( C @ ( D @ ( A @ p ) ) )
| ( C @ ( B @ ( A @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ p ) ) )
| ( C @ ( B @ ( A @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ p ) ) )
| ( C @ ( B @ ( A @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ p ) ) )
| ( C @ ( B @ ( A @ g @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ p ) ) )
| ( C @ ( B @ ( A @ g @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
c @ ( d @ ( b @ f @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(13,plain,
c @ ( d @ ( b @ f @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ p ) ) )
| ( C @ ( B @ ( A @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ p ) ) )
| ( C @ ( B @ ( A @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ p ) ) )
| ( C @ f @ ( B @ ( A @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ p ) ) )
| ( C @ f @ ( B @ ( A @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
c @ ( b @ f @ ( a @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(11,plain,
c @ ( b @ f @ ( a @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,negated_conjecture,
~ ( c @ g @ f @ ( d @ g @ f @ ( a @ g @ f @ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(15,plain,
~ ( c @ g @ f @ ( d @ g @ f @ ( a @ g @ f @ p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,14,9,13,12,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 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
% 0.15/0.40 % Computer : n015.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 17:35:43 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.84/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/1.18 % [INFO] Parsing done (182ms).
% 1.19/1.19 % [INFO] Running in sequential loop mode.
% 1.72/1.58 % [INFO] eprover registered as external prover.
% 1.72/1.59 % [INFO] Scanning for conjecture ...
% 1.89/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.05/1.74 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.05/1.74 % [INFO] Problem is propositional (TPTP CNF).
% 2.05/1.74 % [INFO] Type checking passed.
% 2.05/1.75 % [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 ...
% 3.10/2.22 % External prover 'e' found a proof!
% 3.10/2.22 % [INFO] Killing All external provers ...
% 3.10/2.22 % Time passed: 1669ms (effective reasoning time: 1023ms)
% 3.10/2.22 % Axioms used in derivation (0):
% 3.10/2.22 % No. of inferences in proof: 17
% 3.10/2.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1669 ms resp. 1023 ms w/o parsing
% 3.10/2.26 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.10/2.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------