%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO086-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n002.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 07:12:18 AM UTC 2026
% Result : Unsatisfiable 193.13s 129.79s
% Output : Refutation 193.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 14 ~; 16 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(open_decl,type,
open: $i > $o ).
thf(sk14_decl,type,
sk14: $i ).
thf(part_of_decl,type,
part_of: $i > $i > $o ).
thf(sk15_decl,type,
sk15: $i ).
thf(2,negated_conjecture,
sk14 @ ( sk15 @ part_of ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2_68) ).
thf(45,plain,
sk14 @ ( sk15 @ part_of ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,axiom,
! [B: $i,A: $i] :
( ( A @ open )
| ( A = B )
| ~ ( B @ ( A @ part_of ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1_35) ).
thf(126,plain,
! [B: $i,A: $i] :
( ( A @ open )
| ( A = B )
| ~ ( B @ ( A @ part_of ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( A @ open )
| ( A = B )
| ~ ( B @ ( A @ part_of ) ) ),
inference(cnf,[status(esa)],[126]) ).
thf(128,plain,
! [B: $i,A: $i] :
( ( A @ open )
| ~ ( B @ ( A @ part_of ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[127]) ).
thf(41274,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk15 @ part_of ) )
!= ( B @ ( A @ part_of ) ) )
| ( A @ open )
| ~ $true
| ( A = B ) ),
inference(paramod_ordered,[status(thm)],[45,128]) ).
thf(41275,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk15 @ part_of ) )
!= ( B @ ( A @ part_of ) ) )
| ( A @ open )
| ( A = B ) ),
inference(simp,[status(thm)],[41274]) ).
thf(41276,plain,
( ( sk15 @ open )
| ( sk15 = sk14 ) ),
inference(pattern_uni,[status(thm)],[41275:[bind(A,$thf( sk15 )),bind(B,$thf( sk14 ))]]) ).
thf(3,negated_conjecture,
~ ( sk15 @ open ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2_69) ).
thf(46,plain,
~ ( sk15 @ open ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(47,plain,
~ ( sk15 @ open ),
inference(polarity_switch,[status(thm)],[46]) ).
thf(46163,plain,
( $false
| ( sk15 = sk14 ) ),
inference(rewrite,[status(thm)],[41276,47]) ).
thf(46164,plain,
sk15 = sk14,
inference(simp,[status(thm)],[46163]) ).
thf(1,negated_conjecture,
sk14 @ open,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2_67) ).
thf(44,plain,
sk14 @ open,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(139,plain,
( ( ( sk15 @ open )
!= ( sk14 @ open ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44,47]) ).
thf(140,plain,
( ( sk15 @ open )
!= ( sk14 @ open ) ),
inference(simp,[status(thm)],[139]) ).
thf(141,plain,
sk15 != sk14,
inference(simp,[status(thm)],[140]) ).
thf(46165,plain,
$false,
inference(simplifyReflect,[status(thm)],[46164,141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO086-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.24/0.48 % Computer : n002.cluster.edu
% 0.24/0.48 % Model : x86_64 x86_64
% 0.24/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.48 % Memory : 8046.5625MB
% 0.24/0.48 % OS : Linux 6.8.0-71-generic
% 0.24/0.48 % CPULimit : 300
% 0.24/0.48 % WCLimit : 300
% 0.24/0.48 % DateTime : Fri Sep 25 12:44:36 UTC 2026
% 0.24/0.49 % CPUTime :
% 0.24/0.49 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
% 1.41/1.33 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.91/1.66 % [INFO] Parsing done (319ms).
% 1.91/1.68 % [INFO] Running in sequential loop mode.
% 2.82/2.15 % [INFO] eprover registered as external prover.
% 3.04/2.16 % [INFO] Scanning for conjecture ...
% 3.33/2.31 % [INFO] Found a conjecture (or negated_conjecture) and 48 axioms. Running axiom selection ...
% 3.50/2.43 % [INFO] Axiom selection finished. Selected 40 axioms (removed 8 axioms).
% 3.72/2.54 % [INFO] Problem is propositional (TPTP CNF).
% 3.72/2.55 % [INFO] Type checking passed.
% 3.72/2.56 % [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 ...
% 193.13/129.78 % [INFO] Killing All external provers ...
% 193.13/129.79 % Time passed: 129092ms (effective reasoning time: 128099ms)
% 193.13/129.79 % Axioms used in derivation (1): c1_35
% 193.13/129.79 % No. of inferences in proof: 20
% 193.13/129.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 129092 ms resp. 128099 ms w/o parsing
% 193.36/129.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 193.36/129.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------