TSTP Solution File: SEV431^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV431^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 16:03:50 EDT 2024
% Result : Theorem 0.23s 0.39s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 53 ( 11 ~; 3 |; 0 &; 36 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 0 ^ 18 !; 5 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
f: a > b ).
thf(func_def_6,type,
sK0: ( b > a ) > a ).
thf(func_def_8,type,
inv_f_2: b > a ).
thf(func_def_9,type,
ph3:
!>[X0: $tType] : X0 ).
thf(f17,plain,
$false,
inference(trivial_inequality_removal,[],[f16]) ).
thf(f16,plain,
( ( sK0 @ inv_f_2 )
!= ( sK0 @ inv_f_2 ) ),
inference(superposition,[],[f12,f14]) ).
thf(f14,plain,
! [X0: a] :
( ( inv_f_2 @ ( f @ X0 ) )
= X0 ),
inference(injectivity,[],[f13]) ).
thf(f13,plain,
! [X0: a,X1: a] :
( ( ( f @ X0 )
!= ( f @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
! [X0: a,X1: a] :
( ( X0 = X1 )
| ( ( f @ X0 )
!= ( f @ X1 ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
! [X1: a,X0: a] :
( ( X0 = X1 )
| ( ( f @ X0 )
!= ( f @ X1 ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
! [X0: a,X1: a] :
( ( ( f @ X0 )
= ( f @ X1 ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X1: a,X0: a] :
( ( ( f @ X0 )
= ( f @ X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finj) ).
thf(f12,plain,
! [X0: b > a] :
( ( X0 @ ( f @ ( sK0 @ X0 ) ) )
!= ( sK0 @ X0 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: b > a] :
( ( X0 @ ( f @ ( sK0 @ X0 ) ) )
!= ( sK0 @ X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f9]) ).
thf(f9,plain,
! [X0: b > a] :
( ? [X1: a] :
( ( X0 @ ( f @ X1 ) )
!= X1 )
=> ( ( X0 @ ( f @ ( sK0 @ X0 ) ) )
!= ( sK0 @ X0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
! [X0: b > a] :
? [X1: a] :
( ( X0 @ ( f @ X1 ) )
!= X1 ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ? [X0: b > a] :
! [X1: a] :
( ( X0 @ ( f @ X1 ) )
= X1 ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ? [X2: b > a] :
! [X0: a] :
( ( X2 @ ( f @ X0 ) )
= X0 ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
? [X2: b > a] :
! [X0: a] :
( ( X2 @ ( f @ X0 ) )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invexists) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEV431^1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 19:06:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 This is a TH0_THM_EQU_NAR problem
% 0.13/0.37 Running higher-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.23/0.39 % (13433)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)
% 0.23/0.39 % (13436)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)
% 0.23/0.39 % (13435)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.39 % (13434)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)
% 0.23/0.39 % (13437)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)
% 0.23/0.39 % (13432)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.39 % (13438)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.39 % (13436)Instruction limit reached!
% 0.23/0.39 % (13436)------------------------------
% 0.23/0.39 % (13436)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.39 % (13436)Termination reason: Unknown
% 0.23/0.39 % (13436)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (13437)Refutation not found, incomplete strategy
% 0.23/0.39 % (13437)------------------------------
% 0.23/0.39 % (13437)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.39 % (13436)Memory used [KB]: 5500
% 0.23/0.39 % (13437)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39
% 0.23/0.39 % (13436)Time elapsed: 0.004 s
% 0.23/0.39
% 0.23/0.39 % (13436)Instructions burned: 2 (million)
% 0.23/0.39 % (13437)Memory used [KB]: 5373
% 0.23/0.39 % (13436)------------------------------
% 0.23/0.39 % (13436)------------------------------
% 0.23/0.39 % (13437)Time elapsed: 0.003 s
% 0.23/0.39 % (13437)Instructions burned: 1 (million)
% 0.23/0.39 % (13437)------------------------------
% 0.23/0.39 % (13437)------------------------------
% 0.23/0.39 % (13434)Refutation not found, incomplete strategy
% 0.23/0.39 % (13434)------------------------------
% 0.23/0.39 % (13434)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.39 % (13434)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39
% 0.23/0.39
% 0.23/0.39 % (13434)Memory used [KB]: 5500
% 0.23/0.39 % (13434)Time elapsed: 0.004 s
% 0.23/0.39 % (13434)Instructions burned: 1 (million)
% 0.23/0.39 % (13434)------------------------------
% 0.23/0.39 % (13434)------------------------------
% 0.23/0.39 % (13435)First to succeed.
% 0.23/0.39 % (13433)Instruction limit reached!
% 0.23/0.39 % (13433)------------------------------
% 0.23/0.39 % (13433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.39 % (13433)Termination reason: Unknown
% 0.23/0.39 % (13433)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (13433)Memory used [KB]: 5500
% 0.23/0.39 % (13433)Time elapsed: 0.005 s
% 0.23/0.39 % (13433)Instructions burned: 4 (million)
% 0.23/0.39 % (13433)------------------------------
% 0.23/0.39 % (13433)------------------------------
% 0.23/0.39 % (13435)Refutation found. Thanks to Tanya!
% 0.23/0.39 % SZS status Theorem for theBenchmark
% 0.23/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.39 % (13435)------------------------------
% 0.23/0.39 % (13435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.39 % (13435)Termination reason: Refutation
% 0.23/0.39
% 0.23/0.39 % (13435)Memory used [KB]: 5500
% 0.23/0.39 % (13435)Time elapsed: 0.005 s
% 0.23/0.39 % (13435)Instructions burned: 1 (million)
% 0.23/0.39 % (13435)------------------------------
% 0.23/0.39 % (13435)------------------------------
% 0.23/0.39 % (13431)Success in time 0.019 s
%------------------------------------------------------------------------------