%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COL091-1 : TPTP v9.3.1. Released v2.7.0.
% 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 : n013.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 3.99s 2.33s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 33
% Syntax : Number of formulae : 67 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 32 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 596 ( 72 ~; 66 |; 0 &; 458 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 152 ( 0 ^; 152 !; 0 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
thf(r_decl,type,
r: $i ).
thf(comb_app_decl,type,
comb_app: $i > $i > $i ).
thf(combK_decl,type,
combK: $i ).
thf(member_decl,type,
member: $i > $i > $o ).
thf(pair_decl,type,
pair: $i > $i > $i ).
thf(p_decl,type,
p: $i ).
thf(contract_decl,type,
contract: $i ).
thf(comb_decl,type,
comb: $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(combS_decl,type,
combS: $i ).
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(rtrancl_decl,type,
rtrancl: $i > $i ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE6) ).
thf(56,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)],[10]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( comb @ ( B @ ( A @ comb_app ) @ member ) )
| ~ ( comb @ ( B @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros3) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( comb @ ( B @ ( A @ comb_app ) @ member ) )
| ~ ( comb @ ( B @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ( contract @ ( A @ ( B @ ( A @ ( combK @ comb_app ) @ comb_app ) @ pair ) @ member ) )
| ~ ( comb @ ( B @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contract_K) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( contract @ ( A @ ( B @ ( A @ ( combK @ comb_app ) @ comb_app ) @ pair ) @ member ) )
| ~ ( comb @ ( B @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE7) ).
thf(102,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(15,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/sandbox/benchmark/theBenchmark.p',ap_contractE1) ).
thf(70,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)],[15]) ).
thf(28,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/sandbox/benchmark/theBenchmark.p',ap_contractE10) ).
thf(97,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)],[28]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE3) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( combK
!= ( B @ ( A @ comb_app ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_app) ).
thf(77,plain,
! [B: $i,A: $i] :
( combK
!= ( B @ ( A @ comb_app ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app2) ).
thf(59,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)],[12]) ).
thf(22,axiom,
comb @ ( combK @ member ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros1) ).
thf(86,plain,
comb @ ( combK @ member ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ comb_app ) )
= ( D @ ( B @ comb_app ) ) )
| ( C != D )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app3) ).
thf(39,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)],[3]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ( contract @ ( C @ ( B @ comb_app ) @ ( C @ ( A @ comb_app ) @ comb_app ) @ ( C @ ( B @ ( A @ ( combS @ comb_app ) @ comb_app ) @ comb_app ) @ pair ) @ member ) )
| ~ ( comb @ ( C @ member ) )
| ~ ( comb @ ( B @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contract_S) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ( contract @ ( C @ ( B @ comb_app ) @ ( C @ ( A @ comb_app ) @ comb_app ) @ ( C @ ( B @ ( A @ ( combS @ comb_app ) @ comb_app ) @ comb_app ) @ pair ) @ member ) )
| ~ ( comb @ ( C @ member ) )
| ~ ( comb @ ( B @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE5) ).
thf(80,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)],[19]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( combS
!= ( B @ ( A @ comb_app ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_app) ).
thf(67,plain,
! [B: $i,A: $i] :
( combS
!= ( B @ ( A @ comb_app ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
contract @ ( r @ ( p @ ( combK @ comb_app ) @ pair ) @ member ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_contractD_h1) ).
thf(55,plain,
contract @ ( r @ ( p @ ( combK @ comb_app ) @ pair ) @ member ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i] :
~ ( contract @ ( A @ ( combK @ pair ) @ member ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).
thf(51,plain,
! [A: $i] :
~ ( contract @ ( A @ ( combK @ pair ) @ member ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(33,axiom,
combK != combS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).
thf(111,plain,
combK != combS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(5,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/sandbox/benchmark/theBenchmark.p',ap_contractE13) ).
thf(46,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)],[5]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E2) ).
thf(93,plain,
! [B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(32,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ comb_app ) )
!= ( D @ ( C @ comb_app ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).
thf(106,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)],[32]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( comb @ ( A @ member ) )
| ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E1) ).
thf(84,plain,
! [B: $i,A: $i] :
( ( comb @ ( A @ member ) )
| ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( contract @ ( A @ ( p @ pair ) @ member ) )
| ( r
!= ( A @ ( combK @ comb_app ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_contractD_c1) ).
thf(34,plain,
! [A: $i] :
( ~ ( contract @ ( A @ ( p @ pair ) @ member ) )
| ( r
!= ( A @ ( combK @ comb_app ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,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/sandbox/benchmark/theBenchmark.p',ap_contractE8) ).
thf(64,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)],[13]) ).
thf(6,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/sandbox/benchmark/theBenchmark.p',ap_contractE9) ).
thf(48,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)],[6]) ).
thf(27,axiom,
! [A: $i] :
( ( contract @ rtrancl @ ( A @ ( A @ pair ) @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_refl) ).
thf(95,plain,
! [A: $i] :
( ( contract @ rtrancl @ ( A @ ( A @ pair ) @ member ) )
| ~ ( comb @ ( A @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(16,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/sandbox/benchmark/theBenchmark.p',ap_contractE15) ).
thf(72,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)],[16]) ).
thf(4,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/sandbox/benchmark/theBenchmark.p',ap_contractE12) ).
thf(43,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)],[4]) ).
thf(29,axiom,
! [C: $i,B: $i,A: $i] :
( ( A
= ( C @ ( combK @ comb_app ) ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE4) ).
thf(99,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)],[29]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( A @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE14) ).
thf(87,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( A @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(31,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE2) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( C @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE11) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ( comb @ ( B @ member ) )
| ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(11,axiom,
comb @ ( combS @ member ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros2) ).
thf(58,plain,
comb @ ( combS @ member ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,axiom,
! [A: $i] :
~ ( contract @ ( A @ ( combS @ pair ) @ member ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_contractE) ).
thf(82,plain,
! [A: $i] :
~ ( contract @ ( A @ ( combS @ pair ) @ member ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(124,plain,
$false,
inference(e,[status(thm)],[56,37,89,102,70,97,53,77,59,86,39,91,80,67,55,51,111,46,93,106,84,34,64,48,95,72,43,99,87,104,75,58,82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL091-1 : TPTP v9.3.1. Released v2.7.0.
% 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
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 23:12:51 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 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
% 0.84/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/1.15 % [INFO] Parsing done (192ms).
% 1.22/1.16 % [INFO] Running in sequential loop mode.
% 1.87/1.54 % [INFO] eprover registered as external prover.
% 1.87/1.54 % [INFO] Scanning for conjecture ...
% 1.87/1.59 % [INFO] Found a conjecture (or negated_conjecture) and 32 axioms. Running axiom selection ...
% 2.11/1.64 % [INFO] Axiom selection finished. Selected 32 axioms (removed 0 axioms).
% 2.11/1.66 % [INFO] Problem is propositional (TPTP CNF).
% 2.11/1.67 % [INFO] Type checking passed.
% 2.11/1.67 % [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 ...
% 3.99/2.33 % External prover 'e' found a proof!
% 3.99/2.33 % [INFO] Killing All external provers ...
% 3.99/2.33 % Time passed: 1809ms (effective reasoning time: 1162ms)
% 3.99/2.33 % Axioms used in derivation (32): comb_intros3, ap_contractE4, ap_contractE11, app_app1, k_app, k1_contractD_h1, ap_contractE9, contract_S, ap_contractE13, ap_contractE3, ap_contractE7, ap_contractE10, app_app3, ap_contractE2, ap_contractE14, app_app2, s_app, k_s, k_contractE, ap_E1, ap_contractE15, ap_contractE1, ap_contractE8, contract_K, s_contractE, reduction_refl, ap_contractE5, ap_contractE12, ap_E2, comb_intros1, comb_intros2, ap_contractE6
% 3.99/2.33 % No. of inferences in proof: 67
% 3.99/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1809 ms resp. 1162 ms w/o parsing
% 3.99/2.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.99/2.37 % [INFO] Killing All external provers ...
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