%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO085-1 : 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 : n015.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 70.14s 28.20s
% Output : Refutation 70.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 57 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 43 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 398 ( 84 ~; 67 |; 0 &; 247 @)
% ( 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 : 10 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 0 ^; 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(open_decl,type,
open: $i > $o ).
thf(sk14_decl,type,
sk14: $i ).
thf(end_point_decl,type,
end_point: $i > $i > $o ).
thf(ax0_sk6_decl,type,
ax0_sk6: $i > $i ).
thf(closed_decl,type,
closed: $i > $o ).
thf(ax0_sk11_decl,type,
ax0_sk11: $i > $i > $i ).
thf(ax0_sk7_decl,type,
ax0_sk7: $i > $i ).
thf(41,axiom,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ ax0_sk11 ) @ end_point ) )
| ~ ( B @ ( A @ end_point ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_41) ).
thf(143,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ ax0_sk11 ) @ end_point ) )
| ~ ( B @ ( A @ end_point ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ ax0_sk11 ) @ end_point ) )
| ~ ( B @ ( A @ end_point ) ) ),
inference(cnf,[status(esa)],[143]) ).
thf(1,negated_conjecture,
sk14 @ open,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_67) ).
thf(51,plain,
sk14 @ open,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ ( A @ ax0_sk7 @ end_point ) )
| ~ ( A @ open ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_33) ).
thf(159,plain,
! [A: $i] :
( ( A @ ( A @ ax0_sk7 @ end_point ) )
| ~ ( A @ open ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(160,plain,
! [A: $i] :
( ( A @ ( A @ ax0_sk7 @ end_point ) )
| ~ ( A @ open ) ),
inference(cnf,[status(esa)],[159]) ).
thf(381,plain,
! [A: $i] :
( ( ( sk14 @ open )
!= ( A @ open ) )
| ( A @ ( A @ ax0_sk7 @ end_point ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51,160]) ).
thf(382,plain,
! [A: $i] :
( ( ( sk14 @ open )
!= ( A @ open ) )
| ( A @ ( A @ ax0_sk7 @ end_point ) ) ),
inference(simp,[status(thm)],[381]) ).
thf(383,plain,
sk14 @ ( sk14 @ ax0_sk7 @ end_point ),
inference(pattern_uni,[status(thm)],[382:[bind(A,$thf( sk14 ))]]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( sk14 @ ( B @ end_point ) )
| ~ ( sk14 @ ( A @ end_point ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_68) ).
thf(52,plain,
! [B: $i,A: $i] :
( ~ ( sk14 @ ( B @ end_point ) )
| ~ ( sk14 @ ( A @ end_point ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ~ ( sk14 @ ( B @ end_point ) )
| ~ ( sk14 @ ( A @ end_point ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[52]) ).
thf(54,plain,
! [B: $i,A: $i] :
( ~ ( sk14 @ ( B @ end_point ) )
| ~ ( sk14 @ ( A @ end_point ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[53]) ).
thf(433,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk14 @ ax0_sk7 @ end_point ) )
!= ( sk14 @ ( A @ end_point ) ) )
| ~ ( sk14 @ ( B @ end_point ) )
| ~ $true
| ( A = B ) ),
inference(paramod_ordered,[status(thm)],[383,54]) ).
thf(434,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk14 @ ax0_sk7 @ end_point ) )
!= ( sk14 @ ( A @ end_point ) ) )
| ~ ( sk14 @ ( B @ end_point ) )
| ( A = B ) ),
inference(simp,[status(thm)],[433]) ).
thf(435,plain,
! [A: $i] :
( ~ ( sk14 @ ( A @ end_point ) )
| ( ( sk14 @ ax0_sk7 )
= A ) ),
inference(pattern_uni,[status(thm)],[434:[bind(A,$thf( sk14 @ ax0_sk7 )),bind(B,$thf( B ))]]) ).
thf(471,plain,
! [A: $i] :
( ~ ( sk14 @ ( A @ end_point ) )
| ( ( sk14 @ ax0_sk7 )
= A ) ),
inference(simp,[status(thm)],[435]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ closed )
| ( A @ ( A @ ax0_sk6 @ end_point ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_32) ).
thf(134,plain,
! [A: $i] :
( ( A @ closed )
| ( A @ ( A @ ax0_sk6 @ end_point ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(135,plain,
! [A: $i] :
( ( A @ closed )
| ( A @ ( A @ ax0_sk6 @ end_point ) ) ),
inference(cnf,[status(esa)],[134]) ).
thf(436,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk14 @ ax0_sk7 @ end_point ) )
!= ( sk14 @ ( B @ end_point ) ) )
| ~ $true
| ~ ( sk14 @ ( A @ end_point ) )
| ( A = B ) ),
inference(paramod_ordered,[status(thm)],[383,54]) ).
thf(437,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk14 @ ax0_sk7 @ end_point ) )
!= ( sk14 @ ( B @ end_point ) ) )
| ~ ( sk14 @ ( A @ end_point ) )
| ( A = B ) ),
inference(simp,[status(thm)],[436]) ).
thf(438,plain,
! [A: $i] :
( ~ ( sk14 @ ( A @ end_point ) )
| ( A
= ( sk14 @ ax0_sk7 ) ) ),
inference(pattern_uni,[status(thm)],[437:[bind(A,$thf( A )),bind(B,$thf( sk14 @ ax0_sk7 ))]]) ).
thf(1758,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ax0_sk6 @ end_point ) )
!= ( sk14 @ ( B @ end_point ) ) )
| ~ $true
| ( B
= ( sk14 @ ax0_sk7 ) )
| ( A @ closed ) ),
inference(paramod_ordered,[status(thm)],[135,438]) ).
thf(1759,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ax0_sk6 @ end_point ) )
!= ( sk14 @ ( B @ end_point ) ) )
| ( B
= ( sk14 @ ax0_sk7 ) )
| ( A @ closed ) ),
inference(simp,[status(thm)],[1758]) ).
thf(1760,plain,
( ( ( sk14 @ ax0_sk7 )
= ( sk14 @ ax0_sk6 ) )
| ( sk14 @ closed ) ),
inference(pattern_uni,[status(thm)],[1759:[bind(A,$thf( sk14 )),bind(B,$thf( sk14 @ ax0_sk6 ))]]) ).
thf(43,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ end_point ) )
| ~ ( A @ closed ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_31) ).
thf(147,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ end_point ) )
| ~ ( A @ closed ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(148,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ end_point ) )
| ~ ( A @ closed ) ),
inference(cnf,[status(esa)],[147]) ).
thf(358,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ax0_sk7 @ end_point ) )
!= ( B @ ( C @ end_point ) ) )
| ~ $true
| ~ ( B @ closed )
| ~ ( A @ open ) ),
inference(paramod_ordered,[status(thm)],[160,148]) ).
thf(359,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ax0_sk7 @ end_point ) )
!= ( B @ ( C @ end_point ) ) )
| ~ ( B @ closed )
| ~ ( A @ open ) ),
inference(simp,[status(thm)],[358]) ).
thf(360,plain,
! [A: $i] :
( ~ ( A @ closed )
| ~ ( A @ open ) ),
inference(pattern_uni,[status(thm)],[359:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ ax0_sk7 ))]]) ).
thf(390,plain,
! [A: $i] :
( ~ ( A @ closed )
| ~ ( A @ open ) ),
inference(simp,[status(thm)],[360]) ).
thf(396,plain,
! [A: $i] :
( ( ( sk14 @ open )
!= ( A @ open ) )
| ~ ( A @ closed )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51,390]) ).
thf(397,plain,
! [A: $i] :
( ( ( sk14 @ open )
!= ( A @ open ) )
| ~ ( A @ closed ) ),
inference(simp,[status(thm)],[396]) ).
thf(398,plain,
~ ( sk14 @ closed ),
inference(pattern_uni,[status(thm)],[397:[bind(A,$thf( sk14 ))]]) ).
thf(2063,plain,
( ( ( sk14 @ ax0_sk7 )
= ( sk14 @ ax0_sk6 ) )
| $false ),
inference(rewrite,[status(thm)],[1760,398]) ).
thf(2064,plain,
( ( sk14 @ ax0_sk7 )
= ( sk14 @ ax0_sk6 ) ),
inference(simp,[status(thm)],[2063]) ).
thf(2695,plain,
! [A: $i] :
( ~ ( sk14 @ ( A @ end_point ) )
| ( ( sk14 @ ax0_sk6 )
= A ) ),
inference(rewrite,[status(thm)],[471,2064]) ).
thf(2067,plain,
sk14 @ ( sk14 @ ax0_sk6 @ end_point ),
inference(rewrite,[status(thm)],[383,2064]) ).
thf(39,axiom,
! [B: $i,A: $i] :
( ( A
!= ( B @ ( A @ ax0_sk11 ) ) )
| ~ ( B @ ( A @ end_point ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_42) ).
thf(138,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ ( A @ ax0_sk11 ) ) )
| ~ ( B @ ( A @ end_point ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(139,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ ( A @ ax0_sk11 ) ) )
| ~ ( B @ ( A @ end_point ) ) ),
inference(cnf,[status(esa)],[138]) ).
thf(140,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ end_point ) )
| ( ( B @ ( A @ ax0_sk11 ) )
!= A ) ),
inference(lifteq,[status(thm)],[139]) ).
thf(40423,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk14 @ ax0_sk6 @ end_point ) )
!= ( B @ ( A @ end_point ) ) )
| ~ $true
| ( ( B @ ( A @ ax0_sk11 ) )
!= A ) ),
inference(paramod_ordered,[status(thm)],[2067,140]) ).
thf(40424,plain,
! [B: $i,A: $i] :
( ( ( sk14 @ ( sk14 @ ax0_sk6 @ end_point ) )
!= ( B @ ( A @ end_point ) ) )
| ( ( B @ ( A @ ax0_sk11 ) )
!= A ) ),
inference(simp,[status(thm)],[40423]) ).
thf(40425,plain,
( ( sk14 @ ( sk14 @ ax0_sk6 @ ax0_sk11 ) )
!= ( sk14 @ ax0_sk6 ) ),
inference(pattern_uni,[status(thm)],[40424:[bind(A,$thf( sk14 @ ax0_sk6 )),bind(B,$thf( sk14 ))]]) ).
thf(40570,plain,
! [A: $i] :
( ( A
!= ( sk14 @ ( sk14 @ ax0_sk6 @ ax0_sk11 ) ) )
| ( ( sk14 @ ax0_sk6 )
!= ( sk14 @ ax0_sk6 ) )
| ~ ( sk14 @ ( A @ end_point ) ) ),
inference(paramod_ordered,[status(thm)],[2695,40425]) ).
thf(40571,plain,
! [A: $i] :
( ( A
!= ( sk14 @ ( sk14 @ ax0_sk6 @ ax0_sk11 ) ) )
| ~ ( sk14 @ ( A @ end_point ) ) ),
inference(simp,[status(thm)],[40570]) ).
thf(40572,plain,
~ ( sk14 @ ( sk14 @ ( sk14 @ ax0_sk6 @ ax0_sk11 ) @ end_point ) ),
inference(pattern_uni,[status(thm)],[40571:[bind(A,$thf( sk14 @ ( sk14 @ ax0_sk6 @ ax0_sk11 ) ))]]) ).
thf(42506,plain,
! [B: $i,A: $i] :
( ( ( B @ ( B @ ( A @ ax0_sk11 ) @ end_point ) )
!= ( sk14 @ ( sk14 @ ( sk14 @ ax0_sk6 @ ax0_sk11 ) @ end_point ) ) )
| ~ $true
| ~ ( B @ ( A @ end_point ) ) ),
inference(paramod_ordered,[status(thm)],[144,40572]) ).
thf(42507,plain,
! [B: $i,A: $i] :
( ( ( B @ ( B @ ( A @ ax0_sk11 ) @ end_point ) )
!= ( sk14 @ ( sk14 @ ( sk14 @ ax0_sk6 @ ax0_sk11 ) @ end_point ) ) )
| ~ ( B @ ( A @ end_point ) ) ),
inference(simp,[status(thm)],[42506]) ).
thf(42508,plain,
~ ( sk14 @ ( sk14 @ ax0_sk6 @ end_point ) ),
inference(pattern_uni,[status(thm)],[42507:[bind(A,$thf( sk14 @ ax0_sk6 )),bind(B,$thf( sk14 ))]]) ).
thf(42688,plain,
~ $true,
inference(rewrite,[status(thm)],[42508,2067]) ).
thf(42689,plain,
$false,
inference(simp,[status(thm)],[42688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % 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
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Fri Sep 25 12:44:28 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 0.85/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.20 % [INFO] Parsing done (224ms).
% 1.48/1.21 % [INFO] Running in sequential loop mode.
% 2.18/1.62 % [INFO] eprover registered as external prover.
% 2.18/1.62 % [INFO] Scanning for conjecture ...
% 2.39/1.73 % [INFO] Found a conjecture (or negated_conjecture) and 48 axioms. Running axiom selection ...
% 2.57/1.82 % [INFO] Axiom selection finished. Selected 48 axioms (removed 0 axioms).
% 2.57/1.89 % [INFO] Problem is propositional (TPTP CNF).
% 2.80/1.90 % [INFO] Type checking passed.
% 2.80/1.90 % [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 ...
% 69.92/28.19 % [INFO] Killing All external provers ...
% 69.92/28.20 % Time passed: 27652ms (effective reasoning time: 26974ms)
% 70.14/28.20 % Axioms used in derivation (5): c6_41, closed_defn_32, closed_defn_31, open_defn_33, c6_42
% 70.14/28.20 % No. of inferences in proof: 57
% 70.14/28.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 27652 ms resp. 26974 ms w/o parsing
% 70.14/28.23 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 70.14/28.23 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------