TSTP Solution File: ALG282^5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ALG282^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 04:09:09 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 41 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 180 ( 13 ~; 0 |; 18 &; 145 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 ^ 61 !; 11 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cP: a > a > a ).
thf(func_def_2,type,
cE: a ).
thf(func_def_3,type,
cJ: a > a ).
thf(func_def_7,type,
sK0: a ).
thf(func_def_8,type,
sK1: a ).
thf(f55,plain,
$false,
inference(equality_resolution,[],[f54]) ).
thf(f54,plain,
! [X0: a] : ( sK0 != X0 ),
inference(superposition,[],[f51,f12]) ).
thf(f12,plain,
! [X3: a] :
( ( cP @ cE @ X3 )
= X3 ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ! [X2: a] :
( ( cP @ X2 @ sK1 )
!= sK0 )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X5: a,X6: a,X7: a] :
( ( cP @ X7 @ ( cP @ X5 @ X6 ) )
= ( cP @ ( cP @ X7 @ X5 ) @ X6 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
thf(f8,plain,
( ? [X0: a,X1: a] :
! [X2: a] :
( ( cP @ X2 @ X1 )
!= X0 )
=> ! [X2: a] :
( ( cP @ X2 @ sK1 )
!= sK0 ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
( ? [X0: a,X1: a] :
! [X2: a] :
( ( cP @ X2 @ X1 )
!= X0 )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X5: a,X6: a,X7: a] :
( ( cP @ X7 @ ( cP @ X5 @ X6 ) )
= ( cP @ ( cP @ X7 @ X5 ) @ X6 ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
( ? [X5: a,X6: a] :
! [X7: a] :
( ( cP @ X7 @ X6 )
!= X5 )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X2: a,X0: a,X1: a] :
( ( cP @ ( cP @ X1 @ X2 ) @ X0 )
= ( cP @ X1 @ ( cP @ X2 @ X0 ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ? [X5: a,X6: a] :
! [X7: a] :
( ( cP @ X7 @ X6 )
!= X5 )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X2: a,X0: a,X1: a] :
( ( cP @ ( cP @ X1 @ X2 ) @ X0 )
= ( cP @ X1 @ ( cP @ X2 @ X0 ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X2: a,X0: a,X1: a] :
( ( cP @ ( cP @ X1 @ X2 ) @ X0 )
= ( cP @ X1 @ ( cP @ X2 @ X0 ) ) ) )
=> ! [X6: a,X5: a] :
? [X7: a] :
( ( cP @ X7 @ X6 )
= X5 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X2: a,X0: a,X1: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) ) )
=> ! [X4: a,X3: a] :
? [X5: a] :
( ( cP @ X5 @ X3 )
= X4 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X2: a,X0: a,X1: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) ) )
=> ! [X4: a,X3: a] :
? [X5: a] :
( ( cP @ X5 @ X3 )
= X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM21_pme) ).
thf(f51,plain,
! [X0: a] :
( ( cP @ cE @ X0 )
!= sK0 ),
inference(superposition,[],[f21,f36]) ).
thf(f36,plain,
! [X0: a] :
( ( cP @ cE @ X0 )
= ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
inference(superposition,[],[f17,f11]) ).
thf(f11,plain,
! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
! [X0: a,X1: a] :
( ( cP @ cE @ X1 )
= ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) ) ),
inference(superposition,[],[f10,f11]) ).
thf(f10,plain,
! [X6: a,X7: a,X5: a] :
( ( cP @ X7 @ ( cP @ X5 @ X6 ) )
= ( cP @ ( cP @ X7 @ X5 ) @ X6 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f21,plain,
! [X0: a] :
( sK0
!= ( cP @ X0 @ cE ) ),
inference(superposition,[],[f19,f11]) ).
thf(f19,plain,
! [X0: a,X1: a] :
( ( cP @ X0 @ ( cP @ X1 @ sK1 ) )
!= sK0 ),
inference(superposition,[],[f13,f10]) ).
thf(f13,plain,
! [X2: a] :
( ( cP @ X2 @ sK1 )
!= sK0 ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG282^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n021.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 : Wed Jun 19 15:54:24 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/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
% 0.13/0.38 % (18127)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 % (18128)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 % (18130)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (18131)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 % (18129)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 % (18132)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 % (18133)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 % (18131)Instruction limit reached!
% 0.13/0.38 % (18131)------------------------------
% 0.13/0.38 % (18131)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (18131)Termination reason: Unknown
% 0.13/0.38 % (18131)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (18131)Memory used [KB]: 5500
% 0.13/0.38 % (18131)Time elapsed: 0.004 s
% 0.13/0.38 % (18131)Instructions burned: 2 (million)
% 0.13/0.38 % (18131)------------------------------
% 0.13/0.38 % (18131)------------------------------
% 0.13/0.38 % (18130)Instruction limit reached!
% 0.13/0.38 % (18130)------------------------------
% 0.13/0.38 % (18130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (18130)Termination reason: Unknown
% 0.13/0.38 % (18130)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (18130)Memory used [KB]: 5500
% 0.13/0.38 % (18130)Time elapsed: 0.005 s
% 0.13/0.38 % (18130)Instructions burned: 2 (million)
% 0.13/0.38 % (18130)------------------------------
% 0.13/0.38 % (18130)------------------------------
% 0.13/0.38 % (18128)Instruction limit reached!
% 0.13/0.38 % (18128)------------------------------
% 0.13/0.38 % (18128)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (18128)Termination reason: Unknown
% 0.13/0.38 % (18128)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (18128)Memory used [KB]: 5500
% 0.13/0.38 % (18128)Time elapsed: 0.005 s
% 0.13/0.38 % (18128)Instructions burned: 4 (million)
% 0.13/0.38 % (18128)------------------------------
% 0.13/0.38 % (18128)------------------------------
% 0.13/0.39 % (18127)First to succeed.
% 0.13/0.39 % (18132)Also succeeded, but the first one will report.
% 0.13/0.39 % (18127)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 % (18127)------------------------------
% 0.13/0.39 % (18127)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (18127)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (18127)Memory used [KB]: 5500
% 0.13/0.39 % (18127)Time elapsed: 0.009 s
% 0.13/0.39 % (18127)Instructions burned: 8 (million)
% 0.13/0.39 % (18127)------------------------------
% 0.13/0.39 % (18127)------------------------------
% 0.13/0.39 % (18126)Success in time 0.022 s
%------------------------------------------------------------------------------