%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COL090-3 : TPTP v9.3.1. Released v2.7.0.
% 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 : n004.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 06:56:27 AM UTC 2026
% Result : Unsatisfiable 11.07s 4.36s
% Output : Refutation 11.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 138 ( 47 unt; 0 typ; 2 def)
% Number of atoms : 316 ( 111 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1319 ( 156 ~; 136 |; 0 &;1027 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 322 ( 0 ^; 318 !; 2 ?; 322 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(member_decl,type,
member: $i > $i > $o ).
thf(pair_decl,type,
pair: $i > $i > $i ).
thf(comb_app_decl,type,
comb_app: $i > $i > $i ).
thf(combS_decl,type,
combS: $i ).
thf(combK_decl,type,
combK: $i ).
thf(r_decl,type,
r: $i ).
thf(contract_decl,type,
contract: $i ).
thf(ap_contractE_c3_decl,type,
ap_contractE_c3: $i > $i > $i > $o ).
thf(ap_contractE_sk2q_decl,type,
ap_contractE_sk2q: $i > $i > $i > $i ).
thf(ap_contractE_c4_decl,type,
ap_contractE_c4: $i > $i > $i > $o ).
thf(ap_contractE_sk3q_decl,type,
ap_contractE_sk3q: $i > $i > $i > $i ).
thf(ap_contractE_c2_decl,type,
ap_contractE_c2: $i > $i > $i > $o ).
thf(ap_contractE_sk1p_decl,type,
ap_contractE_sk1p: $i > $i > $i > $i ).
thf(ap_contractE_sk1q_decl,type,
ap_contractE_sk1q: $i > $i > $i > $i ).
thf(ap_contractE_c1_decl,type,
ap_contractE_c1: $i > $i > $i > $o ).
thf(comb_decl,type,
comb: $i ).
thf(sk1_decl,type,
sk1: $i > $i > $i ).
thf(sk2_decl,type,
sk2: $i > $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ comb_app ) @ ( B @ A ) )
= C ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ comb_app ) @ ( C @ A ) )
= B ) ) ) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE6) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( combK
!= ( B @ ( A @ comb_app ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
thf(54,plain,
! [B: $i,A: $i] :
( combK
!= ( B @ ( A @ comb_app ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(55,plain,
! [B: $i,A: $i] :
( combK
!= ( B @ ( A @ comb_app ) ) ),
inference(polarity_switch,[status(thm)],[54]) ).
thf(56,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ comb_app ) )
!= combK ),
inference(lifteq,[status(thm)],[55]) ).
thf(1,negated_conjecture,
contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_contract_E) ).
thf(25,plain,
contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE11) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ comb_app ) @ ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ comb_app ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE8) ).
thf(41,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ comb_app ) @ ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ comb_app ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i] :
~ ( contract @ ( A @ ( combK @ pair ) @ member ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).
thf(34,plain,
! [A: $i] :
~ ( contract @ ( A @ ( combK @ pair ) @ member ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(35,plain,
! [A: $i] :
~ ( contract @ ( A @ ( combK @ pair ) @ member ) ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ comb_app ) @ ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ comb_app ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(cnf,[status(esa)],[41]) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
| ( ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ comb_app ) @ ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ comb_app ) @ comb_app ) )
= C ) ),
inference(lifteq,[status(thm)],[42]) ).
thf(88,plain,
! [A: $i] :
( ( ( contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ) )
!= ( contract @ ( A @ ( combK @ pair ) @ member ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,35]) ).
thf(89,plain,
! [A: $i] :
( ( contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ) )
!= ( contract @ ( A @ ( combK @ pair ) @ member ) ) ),
inference(simp,[status(thm)],[88]) ).
thf(92,plain,
! [A: $i] :
( ( contract != contract )
| ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) )
!= ( A @ ( combK @ pair ) ) ) ),
inference(simp,[status(thm)],[89]) ).
thf(94,plain,
! [A: $i] :
( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) )
!= ( A @ ( combK @ pair ) ) ),
inference(simp,[status(thm)],[92]) ).
thf(23,axiom,
combK != combS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_s) ).
thf(83,plain,
combK != combS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(22,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app1) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(79,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
inference(cnf,[status(esa)],[78]) ).
thf(80,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
inference(lifteq,[status(thm)],[79]) ).
thf(81,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ comb_app ) @ ( C @ A ) )
= B ),
inference(detectInverse,[status(thm)],[80]) ).
thf(82,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ comb_app ) @ ( B @ sk2 ) )
= A ),
inference(cnf,[status(esa)],[81]) ).
thf(170,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ comb_app ) @ ( B @ sk2 ) )
= A ),
inference(lifteq,[status(thm)],[82]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE12) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(cnf,[status(esa)],[26]) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
| ( ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) )
= C ) ),
inference(lifteq,[status(thm)],[27]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( combS
!= ( B @ ( A @ comb_app ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_app) ).
thf(44,plain,
! [B: $i,A: $i] :
( combS
!= ( B @ ( A @ comb_app ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(45,plain,
! [B: $i,A: $i] :
( combS
!= ( B @ ( A @ comb_app ) ) ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ comb_app ) )
!= combS ),
inference(lifteq,[status(thm)],[45]) ).
thf(102,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) )
!= ( E @ ( D @ comb_app ) ) )
| ( C != combS )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[28,46]) ).
thf(103,plain,
! [C: $i,B: $i,A: $i] :
( ( C != combS )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(pattern_uni,[status(thm)],[102:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ap_contractE_sk2q ) ) )),bind(E,$thf( G ))]]) ).
thf(120,plain,
! [B: $i,A: $i] :
~ ( combS @ ( B @ ( A @ ap_contractE_c3 ) ) ),
inference(simp,[status(thm)],[103]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE5) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ comb_app ) )
= ( D @ ( B @ comb_app ) ) )
| ( C != D )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app3) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ comb_app ) )
= ( D @ ( B @ comb_app ) ) )
| ( C != D )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE7) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( A @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE14) ).
thf(59,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( A @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( A @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(cnf,[status(esa)],[59]) ).
thf(84,plain,
combK != combS,
inference(polarity_switch,[status(thm)],[83]) ).
thf(85,plain,
combK != combS,
inference(lifteq,[status(thm)],[84]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( A
= ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(32,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
| ( ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) )
= A ) ),
inference(lifteq,[status(thm)],[32]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app2) ).
thf(36,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
inference(cnf,[status(esa)],[36]) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
inference(lifteq,[status(thm)],[37]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ ( A @ pair ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).
thf(65,plain,
! [C: $i,B: $i,A: $i] :
( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ ( A @ pair ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(96,plain,
! [A: $i] :
( ( r != A )
| ( ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) )
!= combK ) ),
inference(simp,[status(thm)],[94]) ).
thf(97,plain,
( ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) )
!= combK ),
inference(simp,[status(thm)],[96]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ap_contractE_c4 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c1 ) ) )
| ~ ( contract @ ( C @ ( B @ ( A @ comb_app ) @ pair ) @ member ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ap_contractE_c4 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c1 ) ) )
| ~ ( contract @ ( C @ ( B @ ( A @ comb_app ) @ pair ) @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ap_contractE_c4 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c1 ) ) )
| ~ ( contract @ ( C @ ( B @ ( A @ comb_app ) @ pair ) @ member ) ) ),
inference(cnf,[status(esa)],[47]) ).
thf(174,plain,
! [C: $i,B: $i,A: $i] :
( ( ( contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ) )
!= ( contract @ ( C @ ( B @ ( A @ comb_app ) @ pair ) @ member ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c4 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c1 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,48]) ).
thf(175,plain,
! [C: $i,B: $i,A: $i] :
( ( ( contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ) )
!= ( contract @ ( C @ ( B @ ( A @ comb_app ) @ pair ) @ member ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c4 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
| ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
inference(simp,[status(thm)],[174]) ).
thf(176,plain,
( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c4 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c1 ) ) ) ),
inference(pattern_uni,[status(thm)],[175:[bind(A,$thf( combK @ ( combS @ comb_app ) )),bind(B,$thf( combK )),bind(C,$thf( r ))]]) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(cnf,[status(esa)],[29]) ).
thf(162,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
!= ( contract @ ( D @ ( combK @ pair ) @ member ) ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[30,35]) ).
thf(163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
!= ( contract @ ( D @ ( combK @ pair ) @ member ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(simp,[status(thm)],[162]) ).
thf(164,plain,
! [B: $i,A: $i] :
~ ( B @ ( combK @ ( A @ ap_contractE_c4 ) ) ),
inference(pattern_uni,[status(thm)],[163:[bind(A,$thf( E )),bind(B,$thf( combK )),bind(C,$thf( G )),bind(D,$thf( G @ ( combK @ ( E @ ap_contractE_sk3q ) ) ))]]) ).
thf(168,plain,
! [B: $i,A: $i] :
~ ( B @ ( combK @ ( A @ ap_contractE_c4 ) ) ),
inference(simp,[status(thm)],[164]) ).
thf(257,plain,
( $false
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c1 ) ) ) ),
inference(rewrite,[status(thm)],[176,168]) ).
thf(258,plain,
( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c1 ) ) ) ),
inference(simp,[status(thm)],[257]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE3) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
inference(cnf,[status(esa)],[67]) ).
thf(259,plain,
! [C: $i,B: $i,A: $i] :
( ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c1 ) ) )
!= ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) )
| ( comb @ ( B @ member ) )
| ~ $true
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[258,68]) ).
thf(260,plain,
! [C: $i,B: $i,A: $i] :
( ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c1 ) ) )
!= ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) )
| ( comb @ ( B @ member ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) ) ),
inference(simp,[status(thm)],[259]) ).
thf(261,plain,
( ( comb @ ( combK @ member ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) ) ),
inference(pattern_uni,[status(thm)],[260:[bind(A,$thf( combK @ ( combS @ comb_app ) )),bind(B,$thf( combK )),bind(C,$thf( r ))]]) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(cnf,[status(esa)],[74]) ).
thf(276,plain,
! [C: $i,B: $i,A: $i] :
( ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) )
!= ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) )
| ( comb @ ( B @ member ) )
| ~ $true
| ( comb @ ( combK @ member ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[261,75]) ).
thf(277,plain,
! [C: $i,B: $i,A: $i] :
( ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c2 ) ) )
!= ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) )
| ( comb @ ( B @ member ) )
| ( comb @ ( combK @ member ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) ) ),
inference(simp,[status(thm)],[276]) ).
thf(278,plain,
( ( comb @ ( combK @ member ) )
| ( comb @ ( combK @ member ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) ) ),
inference(pattern_uni,[status(thm)],[277:[bind(A,$thf( combK @ ( combS @ comb_app ) )),bind(B,$thf( combK )),bind(C,$thf( r ))]]) ).
thf(283,plain,
( ( comb @ ( combK @ member ) )
| ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) ) ),
inference(simp,[status(thm)],[278]) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(294,plain,
! [C: $i,B: $i,A: $i] :
( ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
!= ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) )
| ( comb @ ( B @ member ) )
| ~ $true
| ( comb @ ( combK @ member ) ) ),
inference(paramod_ordered,[status(thm)],[283,53]) ).
thf(295,plain,
! [C: $i,B: $i,A: $i] :
( ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ ap_contractE_c3 ) ) )
!= ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) )
| ( comb @ ( B @ member ) )
| ( comb @ ( combK @ member ) ) ),
inference(simp,[status(thm)],[294]) ).
thf(296,plain,
( ( comb @ ( combK @ member ) )
| ( comb @ ( combK @ member ) ) ),
inference(pattern_uni,[status(thm)],[295:[bind(A,$thf( combK @ ( combS @ comb_app ) )),bind(B,$thf( combK )),bind(C,$thf( r ))]]) ).
thf(303,plain,
comb @ ( combK @ member ),
inference(simp,[status(thm)],[296]) ).
thf(24,axiom,
! [A: $i] :
~ ( contract @ ( A @ ( combS @ pair ) @ member ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_contractE) ).
thf(86,plain,
! [A: $i] :
~ ( contract @ ( A @ ( combS @ pair ) @ member ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(87,plain,
! [A: $i] :
~ ( contract @ ( A @ ( combS @ pair ) @ member ) ),
inference(polarity_switch,[status(thm)],[86]) ).
thf(325,plain,
! [A: $i] :
( ( ( contract @ ( A @ ( combS @ pair ) @ member ) )
!= ( comb @ ( combK @ member ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[303,87]) ).
thf(326,plain,
! [A: $i] :
( ( contract @ ( A @ ( combS @ pair ) @ member ) )
!= ( comb @ ( combK @ member ) ) ),
inference(simp,[status(thm)],[325]) ).
thf(329,plain,
! [A: $i] :
( ( comb != contract )
| ( ( A @ ( combS @ pair ) )
!= combK ) ),
inference(simp,[status(thm)],[326]) ).
thf(39,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ comb_app ) @ ( B @ A ) )
= C ),
inference(detectInverse,[status(thm)],[38]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ comb_app ) @ ( A @ sk1 ) )
= B ),
inference(cnf,[status(esa)],[39]) ).
thf(156,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ comb_app ) @ ( A @ sk1 ) )
= B ),
inference(lifteq,[status(thm)],[40]) ).
thf(165,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
!= ( contract @ ( D @ ( combS @ pair ) @ member ) ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[30,87]) ).
thf(166,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
!= ( contract @ ( D @ ( combS @ pair ) @ member ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(simp,[status(thm)],[165]) ).
thf(167,plain,
! [B: $i,A: $i] :
~ ( B @ ( combS @ ( A @ ap_contractE_c4 ) ) ),
inference(pattern_uni,[status(thm)],[166:[bind(A,$thf( E )),bind(B,$thf( combS )),bind(C,$thf( G )),bind(D,$thf( G @ ( combS @ ( E @ ap_contractE_sk3q ) ) ))]]) ).
thf(169,plain,
! [B: $i,A: $i] :
~ ( B @ ( combS @ ( A @ ap_contractE_c4 ) ) ),
inference(simp,[status(thm)],[167]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ( A
= ( C @ ( combK @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( C @ ( combK @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C
= ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( A @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE15) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ( C
= ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( A @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE2) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(90,plain,
! [A: $i] :
( ( ( contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ) )
!= ( contract @ ( A @ ( combS @ pair ) @ member ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,87]) ).
thf(91,plain,
! [A: $i] :
( ( contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ) )
!= ( contract @ ( A @ ( combS @ pair ) @ member ) ) ),
inference(simp,[status(thm)],[90]) ).
thf(93,plain,
! [A: $i] :
( ( contract != contract )
| ( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) )
!= ( A @ ( combS @ pair ) ) ) ),
inference(simp,[status(thm)],[91]) ).
thf(95,plain,
! [A: $i] :
( ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) )
!= ( A @ ( combS @ pair ) ) ),
inference(simp,[status(thm)],[93]) ).
thf(131,plain,
! [A: $i] :
( ( r != A )
| ( ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) )
!= combS ) ),
inference(simp,[status(thm)],[95]) ).
thf(140,plain,
( ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) )
!= combS ),
inference(simp,[status(thm)],[131]) ).
thf(188,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) )
!= ( E @ ( D @ comb_app ) ) )
| ( A != combS )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[33,46]) ).
thf(189,plain,
! [C: $i,B: $i,A: $i] :
( ( A != combS )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(pattern_uni,[status(thm)],[188:[bind(A,$thf( K )),bind(B,$thf( L )),bind(C,$thf( M )),bind(D,$thf( M @ ( L @ ( K @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) )),bind(E,$thf( M @ ( L @ ( K @ ap_contractE_sk1q ) ) ))]]) ).
thf(251,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( combS @ ap_contractE_c2 ) ) ),
inference(simp,[status(thm)],[189]) ).
thf(321,plain,
! [A: $i] :
( ( ( contract @ ( A @ ( combK @ pair ) @ member ) )
!= ( comb @ ( combK @ member ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[303,35]) ).
thf(322,plain,
! [A: $i] :
( ( contract @ ( A @ ( combK @ pair ) @ member ) )
!= ( comb @ ( combK @ member ) ) ),
inference(simp,[status(thm)],[321]) ).
thf(327,plain,
! [A: $i] :
( ( comb != contract )
| ( ( A @ ( combK @ pair ) )
!= combK ) ),
inference(simp,[status(thm)],[322]) ).
thf(336,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ comb_app ) @ ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ comb_app ) @ comb_app ) )
!= ( E @ ( D @ comb_app ) ) )
| ( C != combK )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[43,56]) ).
thf(337,plain,
! [C: $i,B: $i,A: $i] :
( ( C != combK )
| ~ ( C @ ( A @ ( B @ ap_contractE_c2 ) ) ) ),
inference(pattern_uni,[status(thm)],[336:[bind(A,$thf( M )),bind(B,$thf( L )),bind(C,$thf( O )),bind(D,$thf( L @ ( O @ ( L @ ( M @ ap_contractE_sk1p ) ) @ comb_app ) )),bind(E,$thf( L @ ( O @ ( L @ ( M @ ap_contractE_sk1q ) ) @ comb_app ) ))]]) ).
thf(414,plain,
! [B: $i,A: $i] :
~ ( combK @ ( A @ ( B @ ap_contractE_c2 ) ) ),
inference(simp,[status(thm)],[337]) ).
thf(184,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) )
!= ( E @ ( D @ comb_app ) ) )
| ( A != combK )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[33,56]) ).
thf(185,plain,
! [C: $i,B: $i,A: $i] :
( ( A != combK )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(pattern_uni,[status(thm)],[184:[bind(A,$thf( K )),bind(B,$thf( L )),bind(C,$thf( M )),bind(D,$thf( M @ ( L @ ( K @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) )),bind(E,$thf( M @ ( L @ ( K @ ap_contractE_sk1q ) ) ))]]) ).
thf(250,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( combK @ ap_contractE_c2 ) ) ),
inference(simp,[status(thm)],[185]) ).
thf(98,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) )
!= ( E @ ( D @ comb_app ) ) )
| ( C != combK )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[28,56]) ).
thf(99,plain,
! [C: $i,B: $i,A: $i] :
( ( C != combK )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(pattern_uni,[status(thm)],[98:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ap_contractE_sk2q ) ) )),bind(E,$thf( G ))]]) ).
thf(119,plain,
! [B: $i,A: $i] :
~ ( combK @ ( B @ ( A @ ap_contractE_c3 ) ) ),
inference(simp,[status(thm)],[99]) ).
thf(703,plain,
$false,
inference(e,[status(thm)],[69,56,25,52,41,34,35,43,94,83,170,120,46,57,78,29,61,74,60,85,33,28,38,65,97,329,156,53,169,44,59,71,54,49,86,76,303,140,251,48,327,414,95,67,31,250,87,26,258,75,119,36,168,30,47,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL090-3 : TPTP v9.3.1. Released v2.7.0.
% 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
% 0.14/0.41 % Computer : n004.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 23:13:21 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 1.26/1.27 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.75/1.57 % [INFO] Parsing done (296ms).
% 1.75/1.59 % [INFO] Running in sequential loop mode.
% 2.77/2.08 % [INFO] eprover registered as external prover.
% 2.77/2.09 % [INFO] Scanning for conjecture ...
% 2.98/2.19 % [INFO] Found a conjecture (or negated_conjecture) and 23 axioms. Running axiom selection ...
% 3.05/2.25 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 3.05/2.29 % [INFO] Problem is propositional (TPTP CNF).
% 3.05/2.29 % [INFO] Type checking passed.
% 3.26/2.30 % [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 ...
% 11.07/4.35 % External prover 'e' found a proof!
% 11.07/4.35 % [INFO] Killing All external provers ...
% 11.07/4.36 % Time passed: 3738ms (effective reasoning time: 2752ms)
% 11.07/4.36 % Axioms used in derivation (23): ap_contractE4, ap_contractE11, ap_contractE8, app_app1, s_contractE, k_app, ap_contractE9, ap_contractE6, ap_contractE13, ap_contractE3, ap_contractE7, ap_contractE10, app_app3, ap_contractE2, ap_contractE14, app_app2, s_app, k_s, k_contractE, ap_contractE15, ap_contractE1, ap_contractE5, ap_contractE12
% 11.07/4.36 % No. of inferences in proof: 136
% 11.07/4.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3738 ms resp. 2752 ms w/o parsing
% 11.58/4.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.58/4.45 % [INFO] Killing All external provers ...
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