TSTP Solution File: SEV169^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV169^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 16:02:06 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 53 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 174 ( 9 ~; 0 |; 32 &; 128 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 204 ( 190 ^ 8 !; 6 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_7,type,
sK0: ( a > a > a ) > a ).
thf(func_def_8,type,
sK1: ( a > a > a ) > a ).
thf(f18,plain,
$false,
inference(subsumption_resolution,[],[f17,f11]) ).
thf(f11,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( ( sK0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( sK0
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( sK1 != sK0 )
& ( sK0
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
thf(f8,plain,
( ? [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( X0 != X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 ) )
=> ( ( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( ( sK0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( sK0
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( sK1 != sK0 )
& ( sK0
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) )
& ( X0 != X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( X0 != X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X1 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X0
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X0 )
& ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
= ( X0
@ ^ [Y0: a,Y1: a] : Y0 ) ) )
=> ( X0 = X1 ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( ( ^ [X2: a > a > a] :
( X2
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X5: a,X6: a] : X6 ) ) )
= X1 )
& ( ( X0
@ ^ [X7: a,X8: a] : X8 )
= ( X1
@ ^ [X9: a,X10: a] : X10 ) )
& ( X0
= ( ^ [X11: a > a > a] :
( X11
@ ( X0
@ ^ [X12: a,X13: a] : X12 )
@ ( X0
@ ^ [X14: a,X15: a] : X15 ) ) ) )
& ( ( X1
@ ^ [X16: a,X17: a] : X16 )
= ( X0
@ ^ [X18: a,X19: a] : X18 ) ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: ( a > a > a ) > a,X0: ( a > a > a ) > a] :
( ( ( ( ^ [X2: a > a > a] :
( X2
@ ( X0
@ ^ [X3: a,X4: a] : X3 )
@ ( X0
@ ^ [X3: a,X4: a] : X4 ) ) )
= X0 )
& ( ( X1
@ ^ [X3: a,X4: a] : X4 )
= ( X0
@ ^ [X3: a,X4: a] : X4 ) )
& ( X1
= ( ^ [X2: a > a > a] :
( X2
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 ) ) ) )
& ( ( X0
@ ^ [X3: a,X4: a] : X3 )
= ( X1
@ ^ [X3: a,X4: a] : X3 ) ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: ( a > a > a ) > a,X0: ( a > a > a ) > a] :
( ( ( ( ^ [X2: a > a > a] :
( X2
@ ( X0
@ ^ [X3: a,X4: a] : X3 )
@ ( X0
@ ^ [X3: a,X4: a] : X4 ) ) )
= X0 )
& ( ( X1
@ ^ [X3: a,X4: a] : X4 )
= ( X0
@ ^ [X3: a,X4: a] : X4 ) )
& ( X1
= ( ^ [X2: a > a > a] :
( X2
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 ) ) ) )
& ( ( X0
@ ^ [X3: a,X4: a] : X3 )
= ( X1
@ ^ [X3: a,X4: a] : X3 ) ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM188_pme) ).
thf(f17,plain,
sK1 = sK0,
inference(forward_demodulation,[],[f16,f10]) ).
thf(f10,plain,
( sK0
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(backward_demodulation,[],[f15,f13]) ).
thf(f13,plain,
( ( sK0
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(backward_demodulation,[],[f14,f12]) ).
thf(f12,plain,
( ( sK0
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK1
@ ^ [Y0: a,Y1: a] : Y0 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
( sK1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV169^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:25:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 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
% 0.12/0.38 % (19972)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (19973)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)
% 0.12/0.38 % (19974)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)
% 0.12/0.38 % (19975)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (19976)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)
% 0.12/0.38 % (19977)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)
% 0.12/0.38 % (19978)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (19975)Instruction limit reached!
% 0.12/0.38 % (19975)------------------------------
% 0.12/0.38 % (19975)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19976)Instruction limit reached!
% 0.12/0.38 % (19976)------------------------------
% 0.12/0.38 % (19976)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19975)Termination reason: Unknown
% 0.12/0.38 % (19975)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (19975)Memory used [KB]: 5500
% 0.12/0.38 % (19975)Time elapsed: 0.004 s
% 0.12/0.38 % (19975)Instructions burned: 2 (million)
% 0.12/0.38 % (19975)------------------------------
% 0.12/0.38 % (19975)------------------------------
% 0.12/0.38 % (19976)Termination reason: Unknown
% 0.12/0.38 % (19976)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (19976)Memory used [KB]: 5500
% 0.12/0.38 % (19976)Time elapsed: 0.004 s
% 0.12/0.38 % (19976)Instructions burned: 2 (million)
% 0.12/0.38 % (19976)------------------------------
% 0.12/0.38 % (19976)------------------------------
% 0.12/0.38 % (19978)First to succeed.
% 0.12/0.38 % (19973)Instruction limit reached!
% 0.12/0.38 % (19973)------------------------------
% 0.12/0.38 % (19973)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19973)Termination reason: Unknown
% 0.12/0.38 % (19973)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (19973)Memory used [KB]: 5500
% 0.12/0.38 % (19973)Time elapsed: 0.006 s
% 0.12/0.38 % (19973)Instructions burned: 4 (million)
% 0.12/0.38 % (19973)------------------------------
% 0.12/0.38 % (19973)------------------------------
% 0.12/0.38 % (19977)Also succeeded, but the first one will report.
% 0.12/0.38 % (19974)Also succeeded, but the first one will report.
% 0.12/0.38 % (19978)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38 % (19978)------------------------------
% 0.12/0.38 % (19978)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19978)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (19978)Memory used [KB]: 5500
% 0.12/0.38 % (19978)Time elapsed: 0.005 s
% 0.12/0.38 % (19978)Instructions burned: 2 (million)
% 0.12/0.38 % (19978)------------------------------
% 0.12/0.38 % (19978)------------------------------
% 0.12/0.38 % (19971)Success in time 0.019 s
%------------------------------------------------------------------------------