%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU375+1 : TPTP v9.3.1. Released 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 : n017.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 08:38:37 AM UTC 2026
% Result : Theorem 4.53s 2.97s
% Output : Refutation 4.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 36
% Syntax : Number of formulae : 74 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 248 ( 14 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 580 ( 28 ~; 2 |; 81 &; 378 @)
% ( 1 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 2 con; 0-3 aty)
% Number of variables : 129 ( 0 ^; 99 !; 30 ?; 129 :)
% Comments :
%------------------------------------------------------------------------------
thf(one_sorted_str_decl,type,
one_sorted_str: $i > $o ).
thf(empty_carrier_decl,type,
empty_carrier: $i > $o ).
thf(net_str_decl,type,
net_str: $i > $i > $o ).
thf(full_subnetstr_decl,type,
full_subnetstr: $i > $i > $i > $o ).
thf(subnetstr_decl,type,
subnetstr: $i > $i > $i > $o ).
thf(element_decl,type,
element: $i > $i > $o ).
thf(the_carrier_decl,type,
the_carrier: $i > $i ).
thf(related_decl,type,
related: $i > $i > $i > $o ).
thf(relation_decl,type,
relation: $i > $o ).
thf(relation_empty_yielding_decl,type,
relation_empty_yielding: $i > $o ).
thf(empty_decl,type,
empty: $i > $o ).
thf(function_decl,type,
function: $i > $o ).
thf(one_to_one_decl,type,
one_to_one: $i > $o ).
thf(empty_set_decl,type,
empty_set: $i ).
thf(rel_str_decl,type,
rel_str: $i > $o ).
thf(subrelstr_decl,type,
subrelstr: $i > $i > $o ).
thf(in_decl,type,
in: $i > $i > $o ).
thf(full_subrelstr_decl,type,
full_subrelstr: $i > $i > $o ).
thf(v1_yellow_3_decl,type,
v1_yellow_3: $i > $o ).
thf(27,axiom,
! [A: $i] :
? [B: $i] : ( A @ ( B @ element ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(138,plain,
! [A: $i] :
? [B: $i] : ( A @ ( B @ element ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(3,axiom,
? [A: $i] :
( ( A @ relation_empty_yielding )
& ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
thf(56,plain,
? [A: $i] :
( ( A @ relation_empty_yielding )
& ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ rel_str )
=> ! [B: $i] :
( ( A @ ( B @ subrelstr ) )
=> ( B @ rel_str ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
thf(121,plain,
! [A: $i] :
( ( A @ rel_str )
=> ! [B: $i] :
( ( A @ ( B @ subrelstr ) )
=> ( B @ rel_str ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(5,axiom,
? [A: $i] :
( ( A @ one_to_one )
& ( A @ function )
& ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
thf(65,plain,
? [A: $i] :
( ( A @ one_to_one )
& ( A @ function )
& ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ empty )
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(123,plain,
! [A: $i] :
( ( A @ empty )
=> ( A = empty_set ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ one_sorted_str )
=> ! [B: $i] :
( ( A @ ( B @ net_str ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ subnetstr ) ) )
=> ( ( B @ ( A @ ( C @ full_subnetstr ) ) )
<=> ( ( B @ ( C @ subrelstr ) )
& ( B @ ( C @ full_subrelstr ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_6) ).
thf(150,plain,
! [A: $i] :
( ( A @ one_sorted_str )
=> ! [B: $i] :
( ( A @ ( B @ net_str ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ subnetstr ) ) )
=> ( ( ( ( B @ ( C @ subrelstr ) )
& ( B @ ( C @ full_subrelstr ) ) )
=> ( B @ ( A @ ( C @ full_subnetstr ) ) ) )
& ( ( B @ ( A @ ( C @ full_subnetstr ) ) )
=> ( ( B @ ( C @ subrelstr ) )
& ( B @ ( C @ full_subrelstr ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(14,axiom,
( ( empty_set @ relation )
& ( empty_set @ empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
thf(104,plain,
( ( empty_set @ relation )
& ( empty_set @ empty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ rel_str )
=> ( ( A @ empty_carrier )
=> ( A @ v1_yellow_3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_3) ).
thf(146,plain,
! [A: $i] :
( ( A @ rel_str )
=> ( ( A @ empty_carrier )
=> ( A @ v1_yellow_3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ one_sorted_str )
=> ! [B: $i] :
( ( A @ ( B @ net_str ) )
=> ( B @ rel_str ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
thf(163,plain,
! [A: $i] :
( ( A @ one_sorted_str )
=> ! [B: $i] :
( ( A @ ( B @ net_str ) )
=> ( B @ rel_str ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(16,axiom,
! [A: $i,B: $i] :
~ ( ( B @ empty )
& ( B @ ( A @ in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(110,plain,
! [A: $i,B: $i] :
~ ( ( B @ empty )
& ( B @ ( A @ in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ rel_str )
=> ( ~ ( A @ v1_yellow_3 )
=> ~ ( A @ empty_carrier ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_yellow_3) ).
thf(157,plain,
! [A: $i] :
( ( A @ rel_str )
=> ( ~ ( A @ v1_yellow_3 )
=> ~ ( A @ empty_carrier ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(9,axiom,
( ( empty_set @ relation_empty_yielding )
& ( empty_set @ relation )
& ( empty_set @ empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
thf(85,plain,
( ( empty_set @ relation_empty_yielding )
& ( empty_set @ relation )
& ( empty_set @ empty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,axiom,
! [A: $i] :
( ( ( A @ function )
& ( A @ empty )
& ( A @ relation ) )
=> ( ( A @ one_to_one )
& ( A @ function )
& ( A @ relation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
thf(60,plain,
! [A: $i] :
( ( ( A @ function )
& ( A @ empty )
& ( A @ relation ) )
=> ( ( A @ one_to_one )
& ( A @ function )
& ( A @ relation ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,axiom,
? [A: $i] : ( A @ rel_str ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(117,plain,
? [A: $i] : ( A @ rel_str ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,conjecture,
! [A: $i] :
( ( A @ one_sorted_str )
=> ! [B: $i] :
( ( ( A @ ( B @ net_str ) )
& ~ ( B @ empty_carrier ) )
=> ! [C: $i] :
( ( ( B @ ( A @ ( C @ subnetstr ) ) )
& ( B @ ( A @ ( C @ full_subnetstr ) ) )
& ~ ( C @ empty_carrier ) )
=> ! [D: $i] :
( ( B @ the_carrier @ ( D @ element ) )
=> ! [E: $i] :
( ( B @ the_carrier @ ( E @ element ) )
=> ! [F: $i] :
( ( C @ the_carrier @ ( F @ element ) )
=> ! [G: $i] :
( ( C @ the_carrier @ ( G @ element ) )
=> ( ( ( E @ ( D @ ( B @ related ) ) )
& ( E = G )
& ( D = F ) )
=> ( G @ ( F @ ( C @ related ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_yellow_6) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ one_sorted_str )
=> ! [B: $i] :
( ( ( A @ ( B @ net_str ) )
& ~ ( B @ empty_carrier ) )
=> ! [C: $i] :
( ( ( B @ ( A @ ( C @ subnetstr ) ) )
& ( B @ ( A @ ( C @ full_subnetstr ) ) )
& ~ ( C @ empty_carrier ) )
=> ! [D: $i] :
( ( B @ the_carrier @ ( D @ element ) )
=> ! [E: $i] :
( ( B @ the_carrier @ ( E @ element ) )
=> ! [F: $i] :
( ( C @ the_carrier @ ( F @ element ) )
=> ! [G: $i] :
( ( C @ the_carrier @ ( G @ element ) )
=> ( ( ( E @ ( D @ ( B @ related ) ) )
& ( E = G )
& ( D = F ) )
=> ( G @ ( F @ ( C @ related ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(38,plain,
~ ! [A: $i] :
( ( A @ one_sorted_str )
=> ! [B: $i] :
( ( ( A @ ( B @ net_str ) )
& ~ ( B @ empty_carrier ) )
=> ! [C: $i] :
( ( ( B @ ( A @ ( C @ subnetstr ) ) )
& ( B @ ( A @ ( C @ full_subnetstr ) ) )
& ~ ( C @ empty_carrier ) )
=> ! [D: $i] :
( ( B @ the_carrier @ ( D @ element ) )
=> ! [E: $i] :
( ( B @ the_carrier @ ( E @ element ) )
=> ! [F: $i] :
( ( C @ the_carrier @ ( F @ element ) )
=> ! [G: $i] :
( ( C @ the_carrier @ ( G @ element ) )
=> ( ( ( E @ ( D @ ( B @ related ) ) )
& ( E = G )
& ( D = F ) )
=> ( G @ ( F @ ( C @ related ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
? [A: $i] :
( ( A @ function )
& ( A @ relation_empty_yielding )
& ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_pboole) ).
thf(70,plain,
? [A: $i] :
( ( A @ function )
& ( A @ relation_empty_yielding )
& ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(25,axiom,
? [A: $i] : ( A @ one_sorted_str ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(134,plain,
? [A: $i] : ( A @ one_sorted_str ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ in ) )
=> ( B @ ( A @ element ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(128,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ in ) )
=> ( B @ ( A @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ element ) )
=> ( ( B @ ( A @ in ) )
| ( B @ empty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(148,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ element ) )
=> ( ( B @ ( A @ in ) )
| ( B @ empty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ net_str ) )
& ( A @ one_sorted_str ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ subnetstr ) ) )
=> ( A @ ( C @ net_str ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
thf(161,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ net_str ) )
& ( A @ one_sorted_str ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ subnetstr ) ) )
=> ( A @ ( C @ net_str ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(29,axiom,
! [A: $i] :
( ( ( A @ one_sorted_str )
& ~ ( A @ empty_carrier ) )
=> ~ ( A @ the_carrier @ empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(144,plain,
! [A: $i] :
( ( ( A @ one_sorted_str )
& ~ ( A @ empty_carrier ) )
=> ~ ( A @ the_carrier @ empty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ one_sorted_str )
=> ? [B: $i] : ( A @ ( B @ net_str ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_waybel_0) ).
thf(159,plain,
! [A: $i] :
( ( A @ one_sorted_str )
=> ? [B: $i] : ( A @ ( B @ net_str ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(17,axiom,
? [A: $i] :
( ( A @ relation )
& ( A @ empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(113,plain,
? [A: $i] :
( ( A @ relation )
& ( A @ empty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ empty )
=> ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(98,plain,
! [A: $i] :
( ( A @ empty )
=> ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(28,axiom,
? [A: $i] :
( ~ ( A @ empty_carrier )
& ( A @ one_sorted_str ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(140,plain,
? [A: $i] :
( ~ ( A @ empty_carrier )
& ( A @ one_sorted_str ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ rel_str )
=> ( A @ one_sorted_str ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(155,plain,
! [A: $i] :
( ( A @ rel_str )
=> ( A @ one_sorted_str ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ rel_str )
=> ? [B: $i] : ( A @ ( B @ subrelstr ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_yellow_0) ).
thf(108,plain,
! [A: $i] :
( ( A @ rel_str )
=> ? [B: $i] : ( A @ ( B @ subrelstr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ rel_str )
=> ! [B: $i] :
( ( ( A @ ( B @ subrelstr ) )
& ( A @ ( B @ full_subrelstr ) ) )
=> ! [C: $i] :
( ( A @ the_carrier @ ( C @ element ) )
=> ! [D: $i] :
( ( A @ the_carrier @ ( D @ element ) )
=> ! [E: $i] :
( ( B @ the_carrier @ ( E @ element ) )
=> ! [F: $i] :
( ( B @ the_carrier @ ( F @ element ) )
=> ( ( ( B @ the_carrier @ ( F @ in ) )
& ( B @ the_carrier @ ( E @ in ) )
& ( D @ ( C @ ( A @ related ) ) )
& ( F = D )
& ( E = C ) )
=> ( F @ ( E @ ( B @ related ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_yellow_0) ).
thf(130,plain,
! [A: $i] :
( ( A @ rel_str )
=> ! [B: $i] :
( ( ( A @ ( B @ subrelstr ) )
& ( A @ ( B @ full_subrelstr ) ) )
=> ! [C: $i] :
( ( A @ the_carrier @ ( C @ element ) )
=> ! [D: $i] :
( ( A @ the_carrier @ ( D @ element ) )
=> ! [E: $i] :
( ( B @ the_carrier @ ( E @ element ) )
=> ! [F: $i] :
( ( B @ the_carrier @ ( F @ element ) )
=> ( ( ( B @ the_carrier @ ( F @ in ) )
& ( B @ the_carrier @ ( E @ in ) )
& ( D @ ( C @ ( A @ related ) ) )
& ( F = D )
& ( E = C ) )
=> ( F @ ( E @ ( B @ related ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(8,axiom,
? [A: $i] :
( ( A @ function )
& ( A @ empty )
& ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
thf(80,plain,
? [A: $i] :
( ( A @ function )
& ( A @ empty )
& ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,axiom,
? [A: $i] :
( ( A @ function )
& ( A @ relation_empty_yielding )
& ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_funct_1) ).
thf(75,plain,
? [A: $i] :
( ( A @ function )
& ( A @ relation_empty_yielding )
& ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ in ) )
=> ~ ( A @ ( B @ in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(119,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ in ) )
=> ~ ( A @ ( B @ in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(11,axiom,
? [A: $i] :
( ( A @ relation )
& ~ ( A @ empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(94,plain,
? [A: $i] :
( ( A @ relation )
& ~ ( A @ empty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ empty )
=> ( A @ function ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(126,plain,
! [A: $i] :
( ( A @ empty )
=> ( A @ function ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ net_str ) )
& ( A @ one_sorted_str ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ subnetstr ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_yellow_6) ).
thf(136,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ net_str ) )
& ( A @ one_sorted_str ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ subnetstr ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(10,axiom,
? [A: $i] :
( ( A @ function )
& ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(90,plain,
? [A: $i] :
( ( A @ function )
& ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
! [A: $i,B: $i] :
~ ( ( B @ empty )
& ( A != B )
& ( A @ empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(100,plain,
! [A: $i,B: $i] :
~ ( ( B @ empty )
& ( A != B )
& ( A @ empty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(165,plain,
$false,
inference(e,[status(thm)],[138,56,121,65,123,150,104,146,163,110,157,85,60,117,38,70,134,128,148,161,144,159,113,98,140,155,108,130,80,75,119,94,126,136,90,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% 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
% 0.15/0.62 % Computer : n017.cluster.edu
% 0.15/0.62 % Model : x86_64 x86_64
% 0.15/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.62 % Memory : 8046.5625MB
% 0.15/0.62 % OS : Linux 6.8.0-71-generic
% 0.15/0.62 % CPULimit : 300
% 0.15/0.62 % WCLimit : 300
% 0.15/0.62 % DateTime : Sat Sep 26 09:17:20 UTC 2026
% 0.15/0.62 % CPUTime :
% 0.15/0.62 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
% 0.95/1.20 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/1.42 % [INFO] Parsing done (215ms).
% 1.35/1.43 % [INFO] Running in sequential loop mode.
% 2.06/1.83 % [INFO] eprover registered as external prover.
% 2.06/1.84 % [INFO] Scanning for conjecture ...
% 2.27/1.96 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 2.53/2.05 % [INFO] Axiom selection finished. Selected 35 axioms (removed 4 axioms).
% 2.53/2.11 % [INFO] Problem is first-order (TPTP FOF).
% 2.53/2.12 % [INFO] Type checking passed.
% 2.53/2.12 % [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 ...
% 4.53/2.96 % External prover 'e' found a proof!
% 4.53/2.96 % [INFO] Killing All external provers ...
% 4.53/2.96 % Time passed: 2205ms (effective reasoning time: 1526ms)
% 4.53/2.97 % 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)>
% 4.53/2.97 % Axioms used in derivation (35): t61_yellow_0, rc3_funct_1, cc1_relat_1, rc1_funct_1, rc2_funct_1, rc2_relat_1, dt_l1_orders_2, t8_boole, cc2_yellow_3, antisymmetry_r2_hidden, fc4_relat_1, t1_subset, rc3_relat_1, t6_boole, rc4_funct_1, dt_l1_waybel_0, existence_l1_waybel_0, t7_boole, existence_l1_orders_2, cc1_funct_1, rc3_struct_0, cc2_funct_1, existence_m1_subset_1, fc1_struct_0, rc1_relat_1, cc1_yellow_3, rc1_pboole, existence_m1_yellow_0, dt_m1_yellow_0, t2_subset, dt_m1_yellow_6, d9_yellow_6, fc12_relat_1, existence_l1_struct_0, existence_m1_yellow_6
% 4.53/2.97 % No. of inferences in proof: 74
% 4.53/2.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2205 ms resp. 1526 ms w/o parsing
% 4.86/3.07 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.86/3.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------