TSTP Solution File: SEV014^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV014^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 16:01:25 EDT 2024
% Result : Theorem 0.11s 0.29s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 125 ( 53 equ; 0 cnn)
% Maximal formula atoms : 14 ( 9 avg)
% Number of connectives : 240 ( 30 ~; 18 |; 30 &; 148 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 0 ^ 69 !; 10 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > a > $o ).
thf(func_def_5,type,
sK1: a ).
thf(f16,plain,
$false,
inference(subsumption_resolution,[],[f13,f15]) ).
thf(f15,plain,
! [X1: a] :
( ( sK0 @ X1 @ X1 )
= $true ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ! [X1: a] :
( ( sK0 @ X1 @ X1 )
= $true )
& ! [X2: a,X3: a,X4: a] :
( ( $true
= ( sK0 @ X4 @ X3 ) )
| ( ( sK0 @ X2 @ X3 )
!= $true )
| ( ( sK0 @ X4 @ X2 )
!= $true ) )
& ( ( sK0 @ sK1 @ sK1 )
!= $true )
& ! [X6: a,X7: a] :
( ( $true
!= ( sK0 @ X7 @ X6 ) )
| ( ( sK0 @ X6 @ X7 )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > a > $o] :
( ! [X1: a] :
( ( X0 @ X1 @ X1 )
= $true )
& ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X4 @ X3 )
= $true )
| ( ( X0 @ X2 @ X3 )
!= $true )
| ( ( X0 @ X4 @ X2 )
!= $true ) )
& ? [X5: a] :
( $true
!= ( X0 @ X5 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( X0 @ X7 @ X6 )
!= $true )
| ( ( X0 @ X6 @ X7 )
= $true ) ) )
=> ( ! [X1: a] :
( ( sK0 @ X1 @ X1 )
= $true )
& ! [X4: a,X3: a,X2: a] :
( ( $true
= ( sK0 @ X4 @ X3 ) )
| ( ( sK0 @ X2 @ X3 )
!= $true )
| ( ( sK0 @ X4 @ X2 )
!= $true ) )
& ? [X5: a] :
( ( sK0 @ X5 @ X5 )
!= $true )
& ! [X7: a,X6: a] :
( ( $true
!= ( sK0 @ X7 @ X6 ) )
| ( ( sK0 @ X6 @ X7 )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X5: a] :
( ( sK0 @ X5 @ X5 )
!= $true )
=> ( ( sK0 @ sK1 @ sK1 )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > $o] :
( ! [X1: a] :
( ( X0 @ X1 @ X1 )
= $true )
& ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X4 @ X3 )
= $true )
| ( ( X0 @ X2 @ X3 )
!= $true )
| ( ( X0 @ X4 @ X2 )
!= $true ) )
& ? [X5: a] :
( $true
!= ( X0 @ X5 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( X0 @ X7 @ X6 )
!= $true )
| ( ( X0 @ X6 @ X7 )
= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o] :
( ! [X3: a] :
( ( X0 @ X3 @ X3 )
= $true )
& ! [X4: a,X5: a,X6: a] :
( ( ( X0 @ X6 @ X5 )
= $true )
| ( ( X0 @ X4 @ X5 )
!= $true )
| ( ( X0 @ X6 @ X4 )
!= $true ) )
& ? [X7: a] :
( ( X0 @ X7 @ X7 )
!= $true )
& ! [X2: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
!= $true )
| ( ( X0 @ X2 @ X1 )
= $true ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a > a > $o] :
( ? [X7: a] :
( ( X0 @ X7 @ X7 )
!= $true )
& ! [X3: a] :
( ( X0 @ X3 @ X3 )
= $true )
& ! [X2: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
!= $true )
| ( ( X0 @ X2 @ X1 )
= $true ) )
& ! [X4: a,X6: a,X5: a] :
( ( ( X0 @ X6 @ X5 )
= $true )
| ( ( X0 @ X4 @ X5 )
!= $true )
| ( ( X0 @ X6 @ X4 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > $o] :
( ( ! [X3: a] :
( ( X0 @ X3 @ X3 )
= $true )
& ! [X2: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
= $true )
=> ( ( X0 @ X2 @ X1 )
= $true ) )
& ! [X4: a,X6: a,X5: a] :
( ( ( ( X0 @ X4 @ X5 )
= $true )
& ( ( X0 @ X6 @ X4 )
= $true ) )
=> ( ( X0 @ X6 @ X5 )
= $true ) ) )
=> ! [X7: a] :
( ( X0 @ X7 @ X7 )
= $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X3: a] : ( X0 @ X3 @ X3 )
& ! [X4: a,X5: a,X6: a] :
( ( ( X0 @ X4 @ X5 )
& ( X0 @ X6 @ X4 ) )
=> ( X0 @ X6 @ X5 ) ) )
=> ! [X7: a] : ( X0 @ X7 @ X7 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) ) )
=> ! [X1: a] : ( X0 @ X1 @ X1 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) ) )
=> ! [X1: a] : ( X0 @ X1 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM513_pme) ).
thf(f13,plain,
( ( sK0 @ sK1 @ sK1 )
!= $true ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEV014^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.07 % Command : run_vampire %s %d THM
% 0.06/0.26 % Computer : n032.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Fri Jun 21 19:39:53 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.11/0.28 This is a TH0_THM_NEQ_NAR problem
% 0.11/0.28 Running higher-order theorem proving
% 0.11/0.28 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
% 0.11/0.29 % (11725)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.29 % (11727)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)
% 0.11/0.29 % (11728)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.29 % (11729)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)
% 0.11/0.29 % (11730)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)
% 0.11/0.29 % (11731)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.29 % (11729)Instruction limit reached!
% 0.11/0.29 % (11729)------------------------------
% 0.11/0.29 % (11729)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.29 % (11729)Termination reason: Unknown
% 0.11/0.29 % (11729)Termination phase: Saturation
% 0.11/0.29
% 0.11/0.29 % (11729)Memory used [KB]: 895
% 0.11/0.29 % (11729)Time elapsed: 0.002 s
% 0.11/0.29 % (11729)Instructions burned: 2 (million)
% 0.11/0.29 % (11729)------------------------------
% 0.11/0.29 % (11729)------------------------------
% 0.11/0.29 % (11728)First to succeed.
% 0.11/0.29 % (11725)Also succeeded, but the first one will report.
% 0.11/0.29 % (11727)Also succeeded, but the first one will report.
% 0.11/0.29 % (11728)Refutation found. Thanks to Tanya!
% 0.11/0.29 % SZS status Theorem for theBenchmark
% 0.11/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.29 % (11728)------------------------------
% 0.11/0.29 % (11728)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.29 % (11728)Termination reason: Refutation
% 0.11/0.29
% 0.11/0.29 % (11728)Memory used [KB]: 5500
% 0.11/0.29 % (11728)Time elapsed: 0.003 s
% 0.11/0.29 % (11728)Instructions burned: 1 (million)
% 0.11/0.29 % (11728)------------------------------
% 0.11/0.29 % (11728)------------------------------
% 0.11/0.29 % (11722)Success in time 0.012 s
%------------------------------------------------------------------------------