TSTP Solution File: SEV457^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV457^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 Jun 24 16:03:57 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 88 ( 6 ~; 0 |; 0 &; 81 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 18 ( 0 ^ 12 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK0: $tType ).
thf(func_def_0,type,
'const/sets/INSERT':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_4,type,
sK1: sK0 ).
thf(func_def_5,type,
sK2: sK0 > $o ).
thf(func_def_7,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f10,plain,
$false,
inference(subsumption_resolution,[],[f8,f9]) ).
thf(f9,plain,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( 'const/sets/INSERT' @ X0 @ X1 @ X2 )
= ( 'const/sets/INSERT' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X1 @ X2 ) ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0,X2: X0 > $o] :
( ( 'const/sets/INSERT' @ X0 @ X1 @ X2 )
= ( 'const/sets/INSERT' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INSERT_INSERT_') ).
thf(f8,plain,
( ( 'const/sets/INSERT' @ sK0 @ sK1 @ ( 'const/sets/INSERT' @ sK0 @ sK1 @ sK2 ) )
!= ( 'const/sets/INSERT' @ sK0 @ sK1 @ sK2 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f7,plain,
( ( 'const/sets/INSERT' @ sK0 @ sK1 @ ( 'const/sets/INSERT' @ sK0 @ sK1 @ sK2 ) )
!= ( 'const/sets/INSERT' @ sK0 @ sK1 @ sK2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f6]) ).
thf(f6,plain,
( ? [X0: $tType,X1: X0,X2: X0 > $o] :
( ( 'const/sets/INSERT' @ X0 @ X1 @ X2 )
!= ( 'const/sets/INSERT' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X1 @ X2 ) ) )
=> ( ( 'const/sets/INSERT' @ sK0 @ sK1 @ ( 'const/sets/INSERT' @ sK0 @ sK1 @ sK2 ) )
!= ( 'const/sets/INSERT' @ sK0 @ sK1 @ sK2 ) ) ),
introduced(choice_axiom,[]) ).
thf(f5,plain,
? [X0: $tType,X1: X0,X2: X0 > $o] :
( ( 'const/sets/INSERT' @ X0 @ X1 @ X2 )
!= ( 'const/sets/INSERT' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X1 @ X2 ) ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f3,negated_conjecture,
~ ! [X0: $tType,X1: X0,X2: X0 > $o] :
( ( 'const/sets/INSERT' @ X0 @ X1 @ X2 )
= ( 'const/sets/INSERT' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X1 @ X2 ) ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
! [X0: $tType,X1: X0,X2: X0 > $o] :
( ( 'const/sets/INSERT' @ X0 @ X1 @ X2 )
= ( 'const/sets/INSERT' @ X0 @ X1 @ ( 'const/sets/INSERT' @ X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INSERT_AC_1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV457^1 : TPTP v8.2.0. Released v7.0.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 18:48:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 This is a TH1_THM_EQU_NAR problem
% 0.11/0.34 Running higher-order theorem proving
% 0.11/0.34 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.11/0.36 % (7942)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.11/0.36 % (7939)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.11/0.36 % (7941)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.36 % (7938)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.36 % (7943)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.36 % (7937)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.36 % (7940)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.36 % Exception at run slice level
% 0.11/0.36 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.11/0.36 % (7942)First to succeed.
% 0.11/0.36 % (7937)Also succeeded, but the first one will report.
% 0.11/0.36 % (7940)Instruction limit reached!
% 0.11/0.36 % (7940)------------------------------
% 0.11/0.36 % (7940)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.36 % (7940)Termination reason: Unknown
% 0.11/0.36 % (7940)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (7940)Memory used [KB]: 5500
% 0.11/0.36 % (7940)Time elapsed: 0.003 s
% 0.11/0.36 % (7940)Instructions burned: 2 (million)
% 0.11/0.36 % (7940)------------------------------
% 0.11/0.36 % (7940)------------------------------
% 0.11/0.36 % (7939)Also succeeded, but the first one will report.
% 0.11/0.36 % (7942)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (7942)------------------------------
% 0.11/0.36 % (7942)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.36 % (7942)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (7942)Memory used [KB]: 5373
% 0.11/0.36 % (7942)Time elapsed: 0.003 s
% 0.11/0.36 % (7942)Instructions burned: 1 (million)
% 0.11/0.36 % (7942)------------------------------
% 0.11/0.36 % (7942)------------------------------
% 0.11/0.36 % (7936)Success in time 0.016 s
%------------------------------------------------------------------------------