%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n016.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 08:00:54 AM UTC 2026
% Result : Theorem 4.77s 12.65s
% Output : Refutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 20
% Syntax : Number of formulae : 42 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 99 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 270 ( 22 ~; 22 |; 66 &; 134 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(xone_verdict_decl,type,
xone_verdict: $i > $i > $i ).
thf(compatible_decl,type,
compatible: $i ).
thf(conflict_decl,type,
conflict: $i ).
thf(is_verdict_decl,type,
is_verdict: $i > $o ).
thf(unknown_decl,type,
unknown: $i ).
thf(box_verdict_decl,type,
box_verdict: $i > $i > $i ).
thf(or_verdict_decl,type,
or_verdict: $i > $i > $i ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( ( B = compatible )
| ( A = compatible ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ or_verdict ) )
= compatible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_compat) ).
thf(89,plain,
! [A: $i,B: $i] :
( ( ( ( B = compatible )
| ( A = compatible ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ or_verdict ) )
= compatible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ( B = conflict )
& ( A = conflict )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ or_verdict ) )
= conflict ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_conflict) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( ( B = conflict )
& ( A = conflict )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ or_verdict ) )
= conflict ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( ( B != conflict )
& ( A != conflict )
& ( ( B = unknown )
| ( A = unknown ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= unknown ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_unknown) ).
thf(97,plain,
! [A: $i,B: $i] :
( ( ( B != conflict )
& ( A != conflict )
& ( ( B = unknown )
| ( A = unknown ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= unknown ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ is_verdict )
=> ( ( A = unknown )
| ( A = compatible )
| ( A = conflict ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdict_enum) ).
thf(41,plain,
! [A: $i] :
( ( A @ is_verdict )
=> ( ( A = unknown )
| ( A = compatible )
| ( A = conflict ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
compatible != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
thf(54,plain,
compatible != unknown,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ~ ( ( B = conflict )
& ( A = conflict ) )
& ( B != compatible )
& ( A != compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ or_verdict ) )
= unknown ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_unknown) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( ~ ( ( B = conflict )
& ( A = conflict ) )
& ( B != compatible )
& ( A != compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ or_verdict ) )
= unknown ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( ( B = conflict )
| ( A = conflict ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= conflict ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_conflict) ).
thf(67,plain,
! [A: $i,B: $i] :
( ( ( ( B = conflict )
| ( A = conflict ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= conflict ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ xone_verdict ) )
= unknown )
| ( ( B @ ( A @ xone_verdict ) )
= conflict )
| ( ( B @ ( A @ xone_verdict ) )
= compatible ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xone_verdict_total) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ xone_verdict ) )
= unknown )
| ( ( B @ ( A @ xone_verdict ) )
= conflict )
| ( ( B @ ( A @ xone_verdict ) )
= compatible ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(3,axiom,
unknown @ is_verdict,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown_is_verdict) ).
thf(24,plain,
unknown @ is_verdict,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
conflict @ is_verdict,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conflict_is_verdict) ).
thf(37,plain,
conflict @ is_verdict,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( B = compatible )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= compatible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_compatible) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( ( B = compatible )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ box_verdict ) )
= compatible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,axiom,
conflict != compatible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
thf(57,plain,
conflict != compatible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( ~ ( ( B = conflict )
& ( A = conflict ) )
& ~ ( ( B = conflict )
& ( A = compatible ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ xone_verdict ) )
= unknown ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xone_unknown) ).
thf(78,plain,
! [A: $i,B: $i] :
( ( ~ ( ( B = conflict )
& ( A = conflict ) )
& ~ ( ( B = conflict )
& ( A = compatible ) )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ xone_verdict ) )
= unknown ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( B = conflict )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ xone_verdict ) )
= compatible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xone_compat) ).
thf(29,plain,
! [A: $i,B: $i] :
( ( ( B = conflict )
& ( A = compatible )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ xone_verdict ) )
= compatible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ or_verdict ) )
= unknown )
| ( ( B @ ( A @ or_verdict ) )
= conflict )
| ( ( B @ ( A @ or_verdict ) )
= compatible ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_verdict_total) ).
thf(38,plain,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ or_verdict ) )
= unknown )
| ( ( B @ ( A @ or_verdict ) )
= conflict )
| ( ( B @ ( A @ or_verdict ) )
= compatible ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
compatible @ is_verdict,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible_is_verdict) ).
thf(33,plain,
compatible @ is_verdict,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
conflict != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
thf(34,plain,
conflict != unknown,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ box_verdict ) )
= unknown )
| ( ( B @ ( A @ box_verdict ) )
= compatible )
| ( ( B @ ( A @ box_verdict ) )
= conflict ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',box_verdict_total) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( ( B @ ( A @ box_verdict ) )
= unknown )
| ( ( B @ ( A @ box_verdict ) )
= compatible )
| ( ( B @ ( A @ box_verdict ) )
= conflict ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(1,conjecture,
( ( conflict @ ( compatible @ xone_verdict ) )
= compatible ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl644) ).
thf(2,negated_conjecture,
( ( conflict @ ( compatible @ xone_verdict ) )
!= compatible ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(22,plain,
( ( conflict @ ( compatible @ xone_verdict ) )
!= compatible ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( B = conflict )
& ( A = conflict )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ xone_verdict ) )
= conflict ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xone_conflict) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( B = conflict )
& ( A = conflict )
& ( B @ is_verdict )
& ( A @ is_verdict ) )
=> ( ( B @ ( A @ xone_verdict ) )
= conflict ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(105,plain,
$false,
inference(e,[status(thm)],[89,60,97,41,54,48,67,75,24,37,25,57,78,29,38,33,34,64,22,44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.14/10.40 % Computer : n016.cluster.edu
% 0.14/10.40 % Model : x86_64 x86_64
% 0.14/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.40 % Memory : 8046.5625MB
% 0.14/10.40 % OS : Linux 6.8.0-71-generic
% 0.14/10.40 % CPULimit : 300
% 0.14/10.40 % WCLimit : 300
% 0.14/10.40 % DateTime : Sat Sep 26 00:18:10 UTC 2026
% 0.14/10.40 % CPUTime :
% 0.14/10.40 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
% 0.16/10.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.46/11.23 % [INFO] Parsing done (249ms).
% 1.46/11.24 % [INFO] Running in sequential loop mode.
% 2.24/11.64 % [INFO] eprover registered as external prover.
% 2.24/11.65 % [INFO] Scanning for conjecture ...
% 2.47/11.75 % [INFO] Found a conjecture (or negated_conjecture) and 36 axioms. Running axiom selection ...
% 2.64/11.81 % [INFO] Axiom selection finished. Selected 19 axioms (removed 17 axioms).
% 2.64/11.87 % [INFO] Problem is first-order (TPTP FOF).
% 2.64/11.88 % [INFO] Type checking passed.
% 2.64/11.89 % [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 ...
% 4.77/12.64 % External prover 'e' found a proof!
% 4.77/12.64 % [INFO] Killing All external provers ...
% 4.77/12.64 % Time passed: 2103ms (effective reasoning time: 1393ms)
% 4.77/12.64 % Solved by 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)>
% 4.77/12.65 % Axioms used in derivation (19): xone_compat, verdicts_distinct_cf_cp, verdicts_distinct_cp_un, xone_unknown, verdicts_distinct_cf_un, or_conflict, unknown_is_verdict, or_unknown, box_compatible, xone_conflict, box_conflict, conflict_is_verdict, box_verdict_total, xone_verdict_total, or_compat, or_verdict_total, compatible_is_verdict, verdict_enum, box_unknown
% 4.77/12.65 % No. of inferences in proof: 42
% 4.77/12.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2103 ms resp. 1393 ms w/o parsing
% 5.06/12.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.06/12.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------