%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC006-1 : 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 : 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 08:03:10 AM UTC 2026
% Result : Unsatisfiable 2.24s 1.36s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 14 ~; 12 |; 0 &; 48 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(q_decl,type,
q: $i > $i > $o ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(p_decl,type,
p: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ p ) )
| ~ ( C @ ( B @ p ) )
| ~ ( B @ ( A @ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_transitivity) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ p ) )
| ~ ( C @ ( B @ p ) )
| ~ ( B @ ( A @ p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ q ) )
| ~ ( B @ ( A @ q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_symmetry) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ q ) )
| ~ ( B @ ( A @ q ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
~ ( b @ ( a @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_is_not_total) ).
thf(17,plain,
~ ( b @ ( a @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
~ ( d @ ( c @ q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_is_total) ).
thf(7,plain,
~ ( d @ ( c @ q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ q ) )
| ~ ( C @ ( B @ q ) )
| ~ ( B @ ( A @ q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_transitivity) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ q ) )
| ~ ( C @ ( B @ q ) )
| ~ ( B @ ( A @ q ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ q ) )
| ( B @ ( A @ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_related) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ q ) )
| ( B @ ( A @ p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[9,13,17,7,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC006-1 : 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
% 0.14/0.40 % Computer : n011.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 00:14:44 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.72/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.78 % [INFO] Parsing done (86ms).
% 0.72/0.79 % [INFO] Running in sequential loop mode.
% 1.16/0.97 % [INFO] eprover registered as external prover.
% 1.16/0.98 % [INFO] Scanning for conjecture ...
% 1.16/1.01 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.46/1.03 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.46/1.03 % [INFO] Problem is propositional (TPTP CNF).
% 1.46/1.03 % [INFO] Type checking passed.
% 1.46/1.04 % [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 ...
% 2.24/1.36 % External prover 'e' found a proof!
% 2.24/1.36 % [INFO] Killing All external provers ...
% 2.24/1.36 % Time passed: 872ms (effective reasoning time: 568ms)
% 2.24/1.36 % Axioms used in derivation (5): q_symmetry, p_transitivity, p_is_not_total, all_related, q_transitivity
% 2.24/1.36 % No. of inferences in proof: 13
% 2.24/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 872 ms resp. 568 ms w/o parsing
% 2.53/1.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.53/1.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------