TSTP Solution File: SEV194^5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV194^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.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 16:02:13 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 154 ( 105 equ; 0 cnn)
% Maximal formula atoms : 22 ( 11 avg)
% Number of connectives : 358 ( 58 ~; 48 |; 49 &; 192 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 15 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-3 aty)
% Number of variables : 104 ( 0 ^ 71 !; 33 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
x: a ).
thf(func_def_2,type,
c0: a ).
thf(func_def_3,type,
cP: a > a > a ).
thf(func_def_7,type,
sK0: a > a > a > $o ).
thf(f22,plain,
$false,
inference(subsumption_resolution,[],[f11,f21]) ).
thf(f21,plain,
! [X2: a] :
( $true
= ( sK0 @ c0 @ X2 @ X2 ) ),
inference(equality_resolution,[],[f20]) ).
thf(f20,plain,
! [X2: a,X3: a] :
( ( c0 != X3 )
| ( $true
= ( sK0 @ X3 @ X2 @ X2 ) ) ),
inference(equality_resolution,[],[f12]) ).
thf(f12,plain,
! [X2: a,X3: a,X1: a] :
( ( X1 != X2 )
| ( c0 != X3 )
| ( ( sK0 @ X3 @ X1 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ! [X1: a,X2: a,X3: a] :
( ( ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( ( cP @ X5 @ X9 )
!= X2 )
| ( ( sK0 @ X7 @ X6 @ X5 )
!= $true )
| ( $true
!= ( sK0 @ X4 @ X8 @ X9 ) )
| ( ( cP @ X7 @ X4 )
!= X3 )
| ( ( cP @ X6 @ X8 )
!= X1 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) )
& ( ( X1 != X2 )
| ( c0 != X3 ) ) )
| ( ( sK0 @ X3 @ X1 @ X2 )
= $true ) )
& ( ( sK0 @ c0 @ x @ x )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: a > a > a > $o] :
( ! [X1: a,X2: a,X3: a] :
( ( ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( ( cP @ X5 @ X9 )
!= X2 )
| ( $true
!= ( X0 @ X7 @ X6 @ X5 ) )
| ( ( X0 @ X4 @ X8 @ X9 )
!= $true )
| ( ( cP @ X7 @ X4 )
!= X3 )
| ( ( cP @ X6 @ X8 )
!= X1 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) )
& ( ( X1 != X2 )
| ( c0 != X3 ) ) )
| ( $true
= ( X0 @ X3 @ X1 @ X2 ) ) )
& ( ( X0 @ c0 @ x @ x )
!= $true ) )
=> ( ! [X3: a,X2: a,X1: a] :
( ( ! [X9: a,X8: a,X7: a,X6: a,X5: a,X4: a] :
( ( ( cP @ X5 @ X9 )
!= X2 )
| ( ( sK0 @ X7 @ X6 @ X5 )
!= $true )
| ( $true
!= ( sK0 @ X4 @ X8 @ X9 ) )
| ( ( cP @ X7 @ X4 )
!= X3 )
| ( ( cP @ X6 @ X8 )
!= X1 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) )
& ( ( X1 != X2 )
| ( c0 != X3 ) ) )
| ( ( sK0 @ X3 @ X1 @ X2 )
= $true ) )
& ( ( sK0 @ c0 @ x @ x )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > a > $o] :
( ! [X1: a,X2: a,X3: a] :
( ( ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( ( cP @ X5 @ X9 )
!= X2 )
| ( $true
!= ( X0 @ X7 @ X6 @ X5 ) )
| ( ( X0 @ X4 @ X8 @ X9 )
!= $true )
| ( ( cP @ X7 @ X4 )
!= X3 )
| ( ( cP @ X6 @ X8 )
!= X1 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) )
& ( ( X1 != X2 )
| ( c0 != X3 ) ) )
| ( $true
= ( X0 @ X3 @ X1 @ X2 ) ) )
& ( ( X0 @ c0 @ x @ x )
!= $true ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > a > $o] :
( ! [X1: a,X2: a,X3: a] :
( ( ! [X7: a,X9: a,X8: a,X6: a,X4: a,X5: a] :
( ( ( cP @ X9 @ X5 )
!= X2 )
| ( ( X0 @ X6 @ X8 @ X9 )
!= $true )
| ( ( X0 @ X7 @ X4 @ X5 )
!= $true )
| ( ( cP @ X6 @ X7 )
!= X3 )
| ( ( cP @ X8 @ X4 )
!= X1 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) )
& ( ( X1 != X2 )
| ( c0 != X3 ) ) )
| ( $true
= ( X0 @ X3 @ X1 @ X2 ) ) )
& ( ( X0 @ c0 @ x @ x )
!= $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > a > a > $o] :
( ! [X2: a,X1: a,X3: a] :
( ( ? [X8: a,X5: a,X6: a,X9: a,X4: a,X7: a] :
( ( ( cP @ X9 @ X5 )
= X2 )
& ( ( cP @ X6 @ X7 )
= X3 )
& ( ( cP @ X8 @ X4 )
= X1 )
& ( ( X0 @ X6 @ X8 @ X9 )
= $true )
& ( ( X0 @ X7 @ X4 @ X5 )
= $true ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ( ( X1 = X2 )
& ( c0 = X3 ) ) )
=> ( $true
= ( X0 @ X3 @ X1 @ X2 ) ) )
=> ( ( X0 @ c0 @ x @ x )
= $true ) ),
inference(true_and_false_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > a > $o] :
( ( $true
& ! [X2: a,X1: a,X3: a] :
( ( ? [X8: a,X5: a,X6: a,X9: a,X4: a,X7: a] :
( ( ( cP @ X9 @ X5 )
= X2 )
& ( ( cP @ X6 @ X7 )
= X3 )
& ( ( cP @ X8 @ X4 )
= X1 )
& ( ( X0 @ X6 @ X8 @ X9 )
= $true )
& ( ( X0 @ X7 @ X4 @ X5 )
= $true ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) )
| ( ( X1 = X2 )
& ( c0 = X3 ) ) )
=> ( $true
= ( X0 @ X3 @ X1 @ X2 ) ) ) )
=> ( ( X0 @ c0 @ x @ x )
= $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > a > $o] :
( ( $true
& ! [X1: a,X2: a,X3: a] :
( ( ( ( X1 = X2 )
& ( c0 = X3 ) )
| ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( ( cP @ X9 @ X5 )
= X2 )
& ( ( cP @ X6 @ X7 )
= X3 )
& ( ( cP @ X8 @ X4 )
= X1 )
& ( X0 @ X7 @ X4 @ X5 )
& ( X0 @ X6 @ X8 @ X9 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) ) )
=> ( X0 @ X3 @ X1 @ X2 ) ) )
=> ( X0 @ c0 @ x @ x ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X1: a] :
( ( ( ( X2 = X3 )
& ( c0 = X1 ) )
| ? [X7: a,X9: a,X4: a,X5: a,X6: a,X8: a] :
( ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( ( cP @ X6 @ X7 )
= X2 )
& ( X0 @ X5 @ X7 @ X9 )
& ( X0 @ X4 @ X6 @ X8 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) ) )
=> ( X0 @ c0 @ x @ x ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X1: a] :
( ( ( ( X2 = X3 )
& ( c0 = X1 ) )
| ? [X7: a,X9: a,X4: a,X5: a,X6: a,X8: a] :
( ( ( cP @ X8 @ X9 )
= X3 )
& ( ( cP @ X4 @ X5 )
= X1 )
& ( ( cP @ X6 @ X7 )
= X2 )
& ( X0 @ X5 @ X7 @ X9 )
& ( X0 @ X4 @ X6 @ X8 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) ) )
=> ( X0 @ X1 @ X2 @ X3 ) ) )
=> ( X0 @ c0 @ x @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_INCL_LEM2_pme) ).
thf(f11,plain,
( ( sK0 @ c0 @ x @ x )
!= $true ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV194^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 19:31:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 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
% 0.13/0.38 % (23686)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)
% 0.13/0.38 % (23683)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)
% 0.13/0.38 % (23688)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (23682)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (23684)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)
% 0.13/0.38 % (23687)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)
% 0.13/0.38 % (23685)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (23686)Instruction limit reached!
% 0.13/0.38 % (23686)------------------------------
% 0.13/0.38 % (23686)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (23686)Termination reason: Unknown
% 0.13/0.38 % (23686)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (23686)Memory used [KB]: 1023
% 0.13/0.38 % (23686)Time elapsed: 0.004 s
% 0.13/0.38 % (23686)Instructions burned: 2 (million)
% 0.13/0.38 % (23686)------------------------------
% 0.13/0.38 % (23686)------------------------------
% 0.13/0.38 % (23683)First to succeed.
% 0.13/0.38 % (23685)Instruction limit reached!
% 0.13/0.38 % (23685)------------------------------
% 0.13/0.38 % (23685)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (23685)Termination reason: Unknown
% 0.13/0.38 % (23685)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (23685)Memory used [KB]: 1023
% 0.13/0.38 % (23685)Time elapsed: 0.003 s
% 0.13/0.38 % (23685)Instructions burned: 2 (million)
% 0.13/0.38 % (23685)------------------------------
% 0.13/0.38 % (23685)------------------------------
% 0.13/0.39 % (23688)Also succeeded, but the first one will report.
% 0.13/0.39 % (23683)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (23683)------------------------------
% 0.13/0.39 % (23683)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (23683)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (23683)Memory used [KB]: 5500
% 0.13/0.39 % (23683)Time elapsed: 0.005 s
% 0.13/0.39 % (23683)Instructions burned: 2 (million)
% 0.13/0.39 % (23683)------------------------------
% 0.13/0.39 % (23683)------------------------------
% 0.13/0.39 % (23681)Success in time 0.019 s
%------------------------------------------------------------------------------