%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n008.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 09:20:33 AM UTC 2026
% Result : Unsatisfiable 4.36s 2.96s
% Output : Refutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 37
% Syntax : Number of formulae : 75 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 159 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 702 ( 88 ~; 84 |; 0 &; 530 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 26 usr; 7 con; 0-4 aty)
% Number of variables : 158 ( 0 ^; 158 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssIk_decl,type,
ssIk: $i > $o ).
thf(key_decl,type,
key: $i > $i > $i ).
thf(b_decl,type,
b: $i ).
thf(ssBk_decl,type,
ssBk: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(ssNonce_decl,type,
ssNonce: $i > $o ).
thf(nb_decl,type,
nb: $i > $i ).
thf(kt_decl,type,
kt: $i > $i ).
thf(ssIm_decl,type,
ssIm: $i > $o ).
thf(pair_decl,type,
pair: $i > $i > $i ).
thf(ssP_decl,type,
ssP: $i > $o ).
thf(ssM_decl,type,
ssM: $i > $o ).
thf(sent_decl,type,
sent: $i > $i > $i > $i ).
thf(triple_decl,type,
triple: $i > $i > $i > $i ).
thf(quadr_decl,type,
quadr: $i > $i > $i > $i > $i ).
thf(tb_decl,type,
tb: $i > $i ).
thf(ssBf_decl,type,
ssBf: $i > $o ).
thf(na_decl,type,
na: $i ).
thf(t_decl,type,
t: $i ).
thf(encr_decl,type,
encr: $i > $i > $i ).
thf(at_decl,type,
at: $i ).
thf(ssSa_decl,type,
ssSa: $i > $o ).
thf(bt_decl,type,
bt: $i ).
thf(ssTk_decl,type,
ssTk: $i > $o ).
thf(ssSb_decl,type,
ssSb: $i > $o ).
thf(ssAk_decl,type,
ssAk: $i > $o ).
thf(29,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pair ) @ ssSb )
| ~ ( B @ ssBf )
| ~ ( B @ ( A @ pair ) @ ( b @ ( A @ sent ) ) @ ssM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
thf(84,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pair ) @ ssSb )
| ~ ( B @ ssBf )
| ~ ( B @ ( A @ pair ) @ ( b @ ( A @ sent ) ) @ ssM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(13,axiom,
na @ ssBf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(60,plain,
na @ ssBf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(9,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm )
| ~ ( D @ ssIm )
| ~ ( C @ ssIm )
| ~ ( B @ ssIm )
| ~ ( A @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm )
| ~ ( D @ ssIm )
| ~ ( C @ ssIm )
| ~ ( B @ ssIm )
| ~ ( A @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(23,axiom,
t @ ( bt @ key ) @ ssBk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(77,plain,
t @ ( bt @ key ) @ ssBk,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(3,axiom,
! [A: $i] :
~ ( A @ kt @ ssNonce ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(41,plain,
! [A: $i] :
~ ( A @ kt @ ssNonce ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ sent ) ) @ ssM )
| ~ ( C @ ssP )
| ~ ( B @ ssP )
| ~ ( A @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ sent ) ) @ ssM )
| ~ ( C @ ssP )
| ~ ( B @ ssP )
| ~ ( A @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(26,axiom,
na @ ( b @ pair ) @ ssSa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(81,plain,
na @ ( b @ pair ) @ ssSa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(17,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(31,axiom,
a @ ( at @ key ) @ ssTk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(87,plain,
a @ ( at @ key ) @ ssTk,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ssIm )
| ~ ( C @ ( B @ ( A @ triple ) ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ssIm )
| ~ ( C @ ( B @ ( A @ triple ) ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ key ) @ ssBk )
| ~ ( C @ ( A @ pair ) @ ssSb )
| ~ ( B @ ( C @ nb @ encr ) @ ( bt @ ( C @ tb @ ( B @ ( A @ triple ) ) @ encr ) @ pair ) @ ( b @ ( A @ sent ) ) @ ssM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ key ) @ ssBk )
| ~ ( C @ ( A @ pair ) @ ssSb )
| ~ ( B @ ( C @ nb @ encr ) @ ( bt @ ( C @ tb @ ( B @ ( A @ triple ) ) @ encr ) @ pair ) @ ( b @ ( A @ sent ) ) @ ssM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ssIm )
| ~ ( C @ ( B @ ( A @ triple ) ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ssIm )
| ~ ( C @ ( B @ ( A @ triple ) ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,axiom,
na @ ssNonce,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(69,plain,
na @ ssNonce,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(32,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( C @ key ) @ ssAk )
| ~ ( B @ ( A @ pair ) @ ssSa )
| ~ ( F @ ( E @ ( at @ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ encr ) @ triple ) ) @ ( a @ ( t @ sent ) ) @ ssM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
thf(88,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( C @ key ) @ ssAk )
| ~ ( B @ ( A @ pair ) @ ssSa )
| ~ ( F @ ( E @ ( at @ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ encr ) @ triple ) ) @ ( a @ ( t @ sent ) ) @ ssM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ key ) @ ssIk )
| ~ ( B @ ssP )
| ~ ( A @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
thf(93,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ key ) @ ssIk )
| ~ ( B @ ssP )
| ~ ( A @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(11,axiom,
! [A: $i] : ( A @ tb @ ssNonce ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(57,plain,
! [A: $i] : ( A @ tb @ ssNonce ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(24,axiom,
b @ ( bt @ key ) @ ssTk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
thf(78,plain,
b @ ( bt @ key ) @ ssTk,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(14,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(21,axiom,
t @ ssP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(74,plain,
t @ ssP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( a @ ( A @ key ) @ ssBk )
| ~ ( b @ ( A @ key ) @ ssIk ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
thf(38,plain,
! [A: $i] :
( ~ ( a @ ( A @ key ) @ ssBk )
| ~ ( b @ ( A @ key ) @ ssIk ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ( B @ ssIm )
| ~ ( B @ ( A @ pair ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( B @ ssIm )
| ~ ( B @ ( A @ pair ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(34,axiom,
na @ ( a @ pair ) @ ( b @ ( a @ sent ) ) @ ssM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(92,plain,
na @ ( a @ pair ) @ ( b @ ( a @ sent ) ) @ ssM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ssIm )
| ~ ( C @ ( B @ ( A @ triple ) ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
thf(65,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ssIm )
| ~ ( C @ ( B @ ( A @ triple ) ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(37,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( F @ ( E @ ( D @ kt @ ( C @ triple ) ) @ encr ) @ ( G @ ( E @ ( D @ kt @ ( D @ ( A @ quadr ) ) ) @ encr ) @ triple ) ) @ ( C @ ( t @ sent ) ) @ ssM )
| ~ ( D @ ssNonce )
| ~ ( C @ ( G @ key ) @ ssTk )
| ~ ( A @ ( F @ key ) @ ssTk )
| ~ ( F @ ( E @ ( D @ ( C @ triple ) ) @ encr ) @ ( B @ ( A @ triple ) ) @ ( t @ ( A @ sent ) ) @ ssM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(97,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( F @ ( E @ ( D @ kt @ ( C @ triple ) ) @ encr ) @ ( G @ ( E @ ( D @ kt @ ( D @ ( A @ quadr ) ) ) @ encr ) @ triple ) ) @ ( C @ ( t @ sent ) ) @ ssM )
| ~ ( D @ ssNonce )
| ~ ( C @ ( G @ key ) @ ssTk )
| ~ ( A @ ( F @ key ) @ ssTk )
| ~ ( F @ ( E @ ( D @ ( C @ triple ) ) @ encr ) @ ( B @ ( A @ triple ) ) @ ( t @ ( A @ sent ) ) @ ssM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ssIm )
| ~ ( C @ ( B @ ( A @ sent ) ) @ ssM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ssIm )
| ~ ( C @ ( B @ ( A @ sent ) ) @ ssM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(30,axiom,
b @ ssP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(86,plain,
b @ ssP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(15,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(36,axiom,
! [B: $i,A: $i] :
( ( bt @ ( B @ tb @ ( B @ ( A @ triple ) ) @ encr ) @ ( B @ nb @ ( b @ triple ) ) @ ( t @ ( b @ sent ) ) @ ssM )
| ~ ( B @ ssBf )
| ~ ( B @ ( A @ pair ) @ ( b @ ( A @ sent ) ) @ ssM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( bt @ ( B @ tb @ ( B @ ( A @ triple ) ) @ encr ) @ ( B @ nb @ ( b @ triple ) ) @ ( t @ ( b @ sent ) ) @ ssM )
| ~ ( B @ ssBf )
| ~ ( B @ ( A @ pair ) @ ( b @ ( A @ sent ) ) @ ssM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ triple ) ) @ ssIm )
| ~ ( C @ ssIm )
| ~ ( B @ ssIm )
| ~ ( A @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ triple ) ) @ ssIm )
| ~ ( C @ ssIm )
| ~ ( B @ ssIm )
| ~ ( A @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pair ) @ ssIm )
| ~ ( B @ ssIm )
| ~ ( A @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pair ) @ ssIm )
| ~ ( B @ ssIm )
| ~ ( A @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [A: $i] : ( A @ nb @ ssNonce ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(40,plain,
! [A: $i] : ( A @ nb @ ssNonce ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ssIm )
| ~ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(22,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( F @ encr ) @ ( E @ pair ) @ ( A @ ( a @ sent ) ) @ ssM )
| ~ ( B @ ( A @ pair ) @ ssSa )
| ~ ( F @ ( E @ ( at @ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ encr ) @ triple ) ) @ ( a @ ( t @ sent ) ) @ ssM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
thf(75,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( F @ encr ) @ ( E @ pair ) @ ( A @ ( a @ sent ) ) @ ssM )
| ~ ( B @ ( A @ pair ) @ ssSa )
| ~ ( F @ ( E @ ( at @ ( D @ ( C @ ( B @ ( A @ quadr ) ) ) @ encr ) @ triple ) ) @ ( a @ ( t @ sent ) ) @ ssM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( A @ ssIm )
| ~ ( B @ ( A @ pair ) @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( A @ ssIm )
| ~ ( B @ ( A @ pair ) @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(27,axiom,
a @ ssP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(82,plain,
a @ ssP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(33,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ encr ) @ ssIm )
| ~ ( C @ ssP )
| ~ ( C @ ( B @ key ) @ ssIk )
| ~ ( A @ ssIm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
thf(90,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ encr ) @ ssIm )
| ~ ( C @ ssP )
| ~ ( C @ ( B @ key ) @ ssIk )
| ~ ( A @ ssIm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(28,axiom,
t @ ( at @ key ) @ ssAk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(83,plain,
t @ ( at @ key ) @ ssAk,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(99,plain,
$false,
inference(e,[status(thm)],[84,60,53,77,41,45,81,67,87,51,79,47,69,88,93,57,78,61,74,38,70,92,65,97,49,86,63,95,72,43,40,55,75,58,82,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % 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
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 18:53:55 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 0.93/1.31 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/1.57 % [INFO] Parsing done (262ms).
% 1.16/1.59 % [INFO] Running in sequential loop mode.
% 1.94/1.99 % [INFO] eprover registered as external prover.
% 1.94/2.00 % [INFO] Scanning for conjecture ...
% 2.20/2.10 % [INFO] Found a conjecture (or negated_conjecture) and 36 axioms. Running axiom selection ...
% 2.38/2.19 % [INFO] Axiom selection finished. Selected 36 axioms (removed 0 axioms).
% 2.52/2.25 % [INFO] Problem is propositional (TPTP CNF).
% 2.52/2.25 % [INFO] Type checking passed.
% 2.52/2.26 % [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 ...
% 4.36/2.95 % External prover 'e' found a proof!
% 4.36/2.95 % [INFO] Killing All external provers ...
% 4.36/2.95 % Time passed: 2281ms (effective reasoning time: 1359ms)
% 4.36/2.96 % Axioms used in derivation (36): clause17, clause22, clause16, clause28, clause12, clause23, clause6, clause5, clause27, clause20, clause33, clause19, clause36, clause3, clause29, clause32, clause18, clause7, clause25, clause11, clause14, clause13, clause31, clause24, clause2, clause1, clause34, clause35, clause8, clause30, clause4, clause26, clause9, clause10, clause15, clause21
% 4.36/2.96 % No. of inferences in proof: 75
% 4.36/2.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2281 ms resp. 1359 ms w/o parsing
% 4.72/3.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.72/3.03 % [INFO] Killing All external provers ...
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