%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV023+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 : n001.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 08:57:57 AM UTC 2026
% Result : Theorem 13.58s 5.80s
% Output : Refutation 13.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 16 equ; 0 cnn)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 118 ( 10 ~; 6 |; 22 &; 68 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(i0_init_decl,type,
i0_init: $i ).
thf(init_decl,type,
init: $i ).
thf(sigma_init_decl,type,
sigma_init: $i ).
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(n0_decl,type,
n0: $i ).
thf(n2_decl,type,
n2: $i ).
thf(n3_decl,type,
n3: $i ).
thf(a_select3_decl,type,
a_select3: $i > $i > $i > $i ).
thf(simplex7_init_decl,type,
simplex7_init: $i ).
thf(a_select2_decl,type,
a_select2: $i > $i > $i ).
thf(s_values7_init_decl,type,
s_values7_init: $i ).
thf(true_decl,type,
true: $o ).
thf(43,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).
thf(314,plain,
true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(1,conjecture,
( ( ! [A: $i] :
( ( ( n3 @ ( A @ leq ) )
& ( A @ ( n0 @ leq ) ) )
=> ( ( A @ ( s_values7_init @ a_select2 ) )
= init ) )
& ! [A: $i] :
( ( ( n2 @ ( A @ leq ) )
& ( A @ ( n0 @ leq ) ) )
=> ! [B: $i] :
( ( ( n3 @ ( B @ leq ) )
& ( B @ ( n0 @ leq ) ) )
=> ( ( A @ ( B @ ( simplex7_init @ a_select3 ) ) )
= init ) ) )
& ( sigma_init = init )
& ( i0_init = init ) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0005) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ( ( n3 @ ( A @ leq ) )
& ( A @ ( n0 @ leq ) ) )
=> ( ( A @ ( s_values7_init @ a_select2 ) )
= init ) )
& ! [A: $i] :
( ( ( n2 @ ( A @ leq ) )
& ( A @ ( n0 @ leq ) ) )
=> ! [B: $i] :
( ( ( n3 @ ( B @ leq ) )
& ( B @ ( n0 @ leq ) ) )
=> ( ( A @ ( B @ ( simplex7_init @ a_select3 ) ) )
= init ) ) )
& ( sigma_init = init )
& ( i0_init = init ) )
=> true ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(86,plain,
~ ( ( ! [A: $i] :
( ( ( n3 @ ( A @ leq ) )
& ( A @ ( n0 @ leq ) ) )
=> ( ( A @ ( s_values7_init @ a_select2 ) )
= init ) )
& ! [A: $i] :
( ( ( n2 @ ( A @ leq ) )
& ( A @ ( n0 @ leq ) ) )
=> ! [B: $i] :
( ( ( n3 @ ( B @ leq ) )
& ( B @ ( n0 @ leq ) ) )
=> ( ( A @ ( B @ ( simplex7_init @ a_select3 ) ) )
= init ) ) )
& ( sigma_init = init )
& ( i0_init = init ) )
=> true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(87,plain,
! [C: $i,B: $i,A: $i] :
( ~ true
& ( ( ( C @ ( s_values7_init @ a_select2 ) )
= init )
| ~ ( n3 @ ( C @ leq ) )
| ~ ( C @ ( n0 @ leq ) ) )
& ( ( ( A @ ( B @ ( simplex7_init @ a_select3 ) ) )
= init )
| ~ ( n3 @ ( B @ leq ) )
| ~ ( B @ ( n0 @ leq ) )
| ~ ( n2 @ ( A @ leq ) )
| ~ ( A @ ( n0 @ leq ) ) )
& ( sigma_init = init )
& ( i0_init = init ) ),
inference(cnf,[status(esa)],[86]) ).
thf(90,plain,
~ true,
inference(cnfConj,[status(thm)],[87]) ).
thf(554,plain,
$false,
inference(rewrite,[status(thm)],[314,90]) ).
thf(555,plain,
$false,
inference(simp,[status(thm)],[554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV023+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.12 % 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
% 0.24/0.51 % Computer : n001.cluster.edu
% 0.24/0.51 % Model : x86_64 x86_64
% 0.24/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.51 % Memory : 8046.5625MB
% 0.24/0.51 % OS : Linux 6.8.0-71-generic
% 0.24/0.51 % CPULimit : 300
% 0.24/0.51 % WCLimit : 300
% 0.24/0.51 % DateTime : Sat Sep 26 13:11:42 UTC 2026
% 0.24/0.51 % CPUTime :
% 0.24/0.51 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
% 1.53/1.40 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.41/1.83 % [INFO] Parsing done (421ms).
% 2.41/1.85 % [INFO] Running in sequential loop mode.
% 3.80/2.51 % [INFO] eprover registered as external prover.
% 3.80/2.53 % [INFO] Scanning for conjecture ...
% 4.19/2.74 % [INFO] Found a conjecture (or negated_conjecture) and 84 axioms. Running axiom selection ...
% 4.58/2.92 % [INFO] Axiom selection finished. Selected 83 axioms (removed 1 axioms).
% 4.92/3.15 % [INFO] Problem is first-order (TPTP FOF).
% 5.15/3.18 % [INFO] Type checking passed.
% 5.15/3.19 % [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 ...
% 13.13/5.79 % [INFO] Killing All external provers ...
% 13.13/5.79 % Time passed: 5036ms (effective reasoning time: 3924ms)
% 13.13/5.79 % 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)>
% 13.13/5.80 % Axioms used in derivation (1): ttrue
% 13.13/5.80 % No. of inferences in proof: 9
% 13.58/5.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5036 ms resp. 3924 ms w/o parsing
% 13.58/5.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.58/5.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------