%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC005-1 : 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 : n003.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 5.21s 8.46s
% Output : Refutation 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 126 ( 18 ~; 16 |; 0 &; 92 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(value_decl,type,
value: $i > $i > $o ).
thf(xor_decl,type,
xor: $i > $i > $i ).
thf(truth_decl,type,
truth: $i ).
thf(falsity_decl,type,
falsity: $i ).
thf(2,axiom,
truth @ ( truth @ value ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_is_true) ).
thf(10,plain,
truth @ ( truth @ value ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( truth @ ( B @ ( A @ xor ) @ value ) )
| ~ ( falsity @ ( B @ value ) )
| ~ ( truth @ ( A @ value ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_false) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( truth @ ( B @ ( A @ xor ) @ value ) )
| ~ ( falsity @ ( B @ value ) )
| ~ ( truth @ ( A @ value ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( falsity @ ( B @ ( A @ xor ) @ value ) )
| ~ ( truth @ ( B @ value ) )
| ~ ( truth @ ( A @ value ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_true) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( falsity @ ( B @ ( A @ xor ) @ value ) )
| ~ ( truth @ ( B @ value ) )
| ~ ( truth @ ( A @ value ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( falsity @ ( B @ ( A @ xor ) @ value ) )
| ~ ( falsity @ ( B @ value ) )
| ~ ( falsity @ ( A @ value ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_false) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( falsity @ ( B @ ( A @ xor ) @ value ) )
| ~ ( falsity @ ( B @ value ) )
| ~ ( falsity @ ( A @ value ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( truth @ ( B @ ( A @ xor ) @ value ) )
| ~ ( truth @ ( B @ value ) )
| ~ ( falsity @ ( A @ value ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_true) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( truth @ ( B @ ( A @ xor ) @ value ) )
| ~ ( truth @ ( B @ value ) )
| ~ ( falsity @ ( A @ value ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
falsity @ ( falsity @ value ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_is_false) ).
thf(11,plain,
falsity @ ( falsity @ value ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ ( falsity @ ( truth @ ( falsity @ ( falsity @ ( truth @ xor ) @ xor ) @ xor ) @ xor ) @ value ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evaluate_expression) ).
thf(8,plain,
! [A: $i] :
~ ( A @ ( falsity @ ( truth @ ( falsity @ ( falsity @ ( truth @ xor ) @ xor ) @ xor ) @ xor ) @ value ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[10,14,12,18,16,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.14 % 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
% 0.24/5.52 % Computer : n003.cluster.edu
% 0.24/5.52 % Model : x86_64 x86_64
% 0.24/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/5.52 % Memory : 8046.5625MB
% 0.24/5.52 % OS : Linux 6.8.0-71-generic
% 0.24/5.52 % CPULimit : 300
% 0.24/5.52 % WCLimit : 300
% 0.24/5.52 % DateTime : Sat Sep 26 00:16:28 UTC 2026
% 0.24/5.53 % CPUTime :
% 0.24/5.53 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
% 1.40/6.45 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.08/6.74 % [INFO] Parsing done (280ms).
% 2.08/6.76 % [INFO] Running in sequential loop mode.
% 3.14/7.43 % [INFO] eprover registered as external prover.
% 3.14/7.44 % [INFO] Scanning for conjecture ...
% 3.34/7.59 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 3.50/7.65 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 3.50/7.67 % [INFO] Problem is propositional (TPTP CNF).
% 3.50/7.67 % [INFO] Type checking passed.
% 3.50/7.68 % [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 ...
% 5.21/8.45 % External prover 'e' found a proof!
% 5.21/8.45 % [INFO] Killing All external provers ...
% 5.21/8.45 % Time passed: 2704ms (effective reasoning time: 1682ms)
% 5.21/8.46 % Axioms used in derivation (6): true_xor_true, false_xor_false, true_is_true, false_is_false, true_xor_false, false_xor_true
% 5.21/8.46 % No. of inferences in proof: 15
% 5.21/8.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2704 ms resp. 1682 ms w/o parsing
% 5.57/8.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.57/8.52 % [INFO] Killing All external provers ...
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