TSTP Solution File: ITP001^5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP001^5 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:42:00 EDT 2024
% Result : Theorem 0.17s 0.36s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 47
% Syntax : Number of formulae : 50 ( 4 unt; 46 typ; 0 def)
% Number of atoms : 4 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 74 ( 73 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 2 con; 0-6 aty)
% Number of variables : 12 ( 0 !; 0 ?; 12 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
tp__i: $tType ).
tff(func_def_0,type,
del: $tType ).
tff(func_def_1,type,
bool: del ).
tff(func_def_2,type,
ind: del ).
tff(func_def_3,type,
arr: del > del > del ).
tff(func_def_4,type,
mem: $i > del > $o ).
tff(func_def_5,type,
ap: $i > $i > $i ).
tff(func_def_6,type,
lam: del > ( $i > $i ) > $i ).
tff(func_def_7,type,
p: $i > $o ).
tff(func_def_8,type,
inj__o: $o > $i ).
tff(func_def_10,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_12,type,
c_2Emin_2E_40: del > $i ).
tff(func_def_13,type,
ty_2Ebool_2Eitself: del > del ).
tff(func_def_14,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_16,type,
c_2Ebool_2E_3F: del > $i ).
tff(func_def_17,type,
c_2Ebool_2E_3F_21: del > $i ).
tff(func_def_18,type,
c_2Ebool_2EARB: del > $i ).
tff(func_def_20,type,
c_2Ebool_2ECOND: del > $i ).
tff(func_def_21,type,
c_2Ebool_2EDATATYPE: del > $i ).
tff(func_def_23,type,
c_2Ebool_2EIN: del > $i ).
tff(func_def_24,type,
c_2Ebool_2ELET: del > del > $i ).
tff(func_def_25,type,
c_2Ebool_2EONE__ONE: del > del > $i ).
tff(func_def_26,type,
c_2Ebool_2EONTO: del > del > $i ).
tff(func_def_27,type,
c_2Ebool_2ERES__ABSTRACT: del > del > $i ).
tff(func_def_28,type,
c_2Ebool_2ERES__EXISTS: del > $i ).
tff(func_def_29,type,
c_2Ebool_2ERES__EXISTS__UNIQUE: del > $i ).
tff(func_def_30,type,
c_2Ebool_2ERES__FORALL: del > $i ).
tff(func_def_31,type,
c_2Ebool_2ERES__SELECT: del > $i ).
tff(func_def_33,type,
c_2Ebool_2ETYPE__DEFINITION: del > del > $i ).
tff(func_def_35,type,
c_2Ebool_2Eitself__case: del > del > $i ).
tff(func_def_36,type,
c_2Ebool_2Eliteral__case: del > del > $i ).
tff(func_def_37,type,
c_2Ebool_2Ethe__value: del > $i ).
tff(func_def_39,type,
tp__i: $tType ).
tff(func_def_40,type,
inj__i: tp__i > $i ).
tff(func_def_41,type,
surj__i: $i > tp__i ).
tff(func_def_44,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
tff(func_def_45,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
tff(func_def_46,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
tff(func_def_47,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_48,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
tff(func_def_50,type,
sK1: $i > del > $i ).
tff(func_def_51,type,
sK2: $i > del > $i ).
tff(func_def_52,type,
sK3: ( $i > $i ) > del > del > $i ).
tff(func_def_53,type,
sK4: $i > $i > del > $i ).
fof(f269,plain,
$false,
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
$false,
inference(true_and_false_elimination,[],[f74]) ).
fof(f74,negated_conjecture,
~ $true,
inference(negated_conjecture,[],[f73]) ).
fof(f73,conjecture,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP001^5 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31 % Computer : n010.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sat May 18 18:01:08 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.32 % (14837)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34 % (14840)WARNING: value z3 for option sas not known
% 0.17/0.34 % (14844)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.34 % (14838)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34 % (14840)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.34 % (14839)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (14842)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.35 % (14843)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.35 % (14841)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.36 % (14838)First to succeed.
% 0.17/0.36 % Exception at run slice level% (14844)Also succeeded, but the first one will report.
% 0.17/0.36
% 0.17/0.36 % (14838)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14837"
% 0.17/0.36 User error: Immediate (shared) subterms of term/literal vAPP(X0,X2,X3,X4) = vAPP(X1,X2,X3,X4) have different types/not well-typed!
% 0.17/0.36 % (14840)Also succeeded, but the first one will report.
% 0.17/0.36 % (14838)Refutation found. Thanks to Tanya!
% 0.17/0.36 % SZS status Theorem for theBenchmark
% 0.17/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.36 % (14838)------------------------------
% 0.17/0.36 % (14838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.36 % (14838)Termination reason: Refutation
% 0.17/0.36
% 0.17/0.36 % (14838)Memory used [KB]: 1023
% 0.17/0.36 % (14838)Time elapsed: 0.015 s
% 0.17/0.36 % (14838)Instructions burned: 32 (million)
% 0.17/0.36 % (14837)Success in time 0.026 s
%------------------------------------------------------------------------------