TSTP Solution File: SEU937^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU937^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 : Tue May 21 03:52:15 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 71 ( 70 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 176 ( 27 ~; 16 |; 23 &; 96 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 0 ^ 54 !; 20 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_8,type,
c: $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
c: $tType ).
thf(func_def_6,type,
sK0: c > b ).
thf(func_def_7,type,
sK1: b > a ).
thf(func_def_8,type,
sK2: c ).
thf(func_def_9,type,
sK3: c ).
thf(f25,plain,
$false,
inference(subsumption_resolution,[],[f24,f14]) ).
thf(f14,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( sK2 != sK3 )
& ( ( sK1 @ ( sK0 @ sK2 ) )
= ( sK1 @ ( sK0 @ sK3 ) ) )
& ! [X4: b,X5: b] :
( ( X4 = X5 )
| ( ( sK1 @ X5 )
!= ( sK1 @ X4 ) ) )
& ! [X6: c,X7: c] :
( ( X6 = X7 )
| ( ( sK0 @ X7 )
!= ( sK0 @ X6 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f7,f9,f8]) ).
thf(f8,plain,
( ? [X0: c > b,X1: b > a] :
( ? [X2: c,X3: c] :
( ( X2 != X3 )
& ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) ) )
& ! [X4: b,X5: b] :
( ( X4 = X5 )
| ( ( X1 @ X5 )
!= ( X1 @ X4 ) ) )
& ! [X6: c,X7: c] :
( ( X6 = X7 )
| ( ( X0 @ X6 )
!= ( X0 @ X7 ) ) ) )
=> ( ? [X3: c,X2: c] :
( ( X2 != X3 )
& ( ( sK1 @ ( sK0 @ X3 ) )
= ( sK1 @ ( sK0 @ X2 ) ) ) )
& ! [X5: b,X4: b] :
( ( X4 = X5 )
| ( ( sK1 @ X5 )
!= ( sK1 @ X4 ) ) )
& ! [X7: c,X6: c] :
( ( X6 = X7 )
| ( ( sK0 @ X7 )
!= ( sK0 @ X6 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X3: c,X2: c] :
( ( X2 != X3 )
& ( ( sK1 @ ( sK0 @ X3 ) )
= ( sK1 @ ( sK0 @ X2 ) ) ) )
=> ( ( sK2 != sK3 )
& ( ( sK1 @ ( sK0 @ sK2 ) )
= ( sK1 @ ( sK0 @ sK3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: c > b,X1: b > a] :
( ? [X2: c,X3: c] :
( ( X2 != X3 )
& ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) ) )
& ! [X4: b,X5: b] :
( ( X4 = X5 )
| ( ( X1 @ X5 )
!= ( X1 @ X4 ) ) )
& ! [X6: c,X7: c] :
( ( X6 = X7 )
| ( ( X0 @ X6 )
!= ( X0 @ X7 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
? [X0: c > b,X1: b > a] :
( ? [X7: c,X6: c] :
( ( X6 != X7 )
& ( ( X1 @ ( X0 @ X7 ) )
= ( X1 @ ( X0 @ X6 ) ) ) )
& ! [X4: b,X5: b] :
( ( X4 = X5 )
| ( ( X1 @ X5 )
!= ( X1 @ X4 ) ) )
& ! [X2: c,X3: c] :
( ( X2 = X3 )
| ( ( X0 @ X2 )
!= ( X0 @ X3 ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
? [X1: b > a,X0: c > b] :
( ? [X7: c,X6: c] :
( ( X6 != X7 )
& ( ( X1 @ ( X0 @ X7 ) )
= ( X1 @ ( X0 @ X6 ) ) ) )
& ! [X2: c,X3: c] :
( ( X2 = X3 )
| ( ( X0 @ X2 )
!= ( X0 @ X3 ) ) )
& ! [X4: b,X5: b] :
( ( X4 = X5 )
| ( ( X1 @ X5 )
!= ( X1 @ X4 ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ! [X1: b > a,X0: c > b] :
( ( ! [X3: c,X2: c] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) )
& ! [X5: b,X4: b] :
( ( ( X1 @ X5 )
= ( X1 @ X4 ) )
=> ( X4 = X5 ) ) )
=> ! [X7: c,X6: c] :
( ( ( X1 @ ( X0 @ X7 ) )
= ( X1 @ ( X0 @ X6 ) ) )
=> ( X6 = X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: c > b,X0: b > a] :
( ( ! [X3: c,X2: c] :
( ( ( X1 @ X2 )
= ( X1 @ X3 ) )
=> ( X2 = X3 ) )
& ! [X2: b,X3: b] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) ) )
=> ! [X2: c,X3: c] :
( ( ( X0 @ ( X1 @ X2 ) )
= ( X0 @ ( X1 @ X3 ) ) )
=> ( X2 = X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: c > b,X0: b > a] :
( ( ! [X3: c,X2: c] :
( ( ( X1 @ X2 )
= ( X1 @ X3 ) )
=> ( X2 = X3 ) )
& ! [X2: b,X3: b] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) ) )
=> ! [X2: c,X3: c] :
( ( ( X0 @ ( X1 @ X2 ) )
= ( X0 @ ( X1 @ X3 ) ) )
=> ( X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM48_pme) ).
thf(f24,plain,
sK2 = sK3,
inference(equality_resolution,[],[f22]) ).
thf(f22,plain,
! [X0: c] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK2 ) )
| ( sK3 = X0 ) ),
inference(superposition,[],[f11,f20]) ).
thf(f20,plain,
( ( sK0 @ sK3 )
= ( sK0 @ sK2 ) ),
inference(equality_resolution,[],[f17]) ).
thf(f17,plain,
! [X0: b] :
( ( ( sK1 @ ( sK0 @ sK2 ) )
!= ( sK1 @ X0 ) )
| ( ( sK0 @ sK3 )
= X0 ) ),
inference(superposition,[],[f12,f13]) ).
thf(f13,plain,
( ( sK1 @ ( sK0 @ sK2 ) )
= ( sK1 @ ( sK0 @ sK3 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f12,plain,
! [X4: b,X5: b] :
( ( ( sK1 @ X5 )
!= ( sK1 @ X4 ) )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f11,plain,
! [X6: c,X7: c] :
( ( ( sK0 @ X7 )
!= ( sK0 @ X6 ) )
| ( X6 = X7 ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU937^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 17:35:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.37 % (28079)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.21/0.37 % (28081)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 (3000ds/27Mi)
% 0.21/0.37 % (28083)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 (3000ds/2Mi)
% 0.21/0.37 % (28080)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 (3000ds/4Mi)
% 0.21/0.37 % (28084)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 (3000ds/275Mi)
% 0.21/0.37 % (28082)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.37 % (28085)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.21/0.37 % (28086)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.21/0.37 % (28083)Instruction limit reached!
% 0.21/0.37 % (28083)------------------------------
% 0.21/0.37 % (28083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (28083)Termination reason: Unknown
% 0.21/0.37 % (28083)Termination phase: Property scanning
% 0.21/0.37
% 0.21/0.37 % (28083)Memory used [KB]: 895
% 0.21/0.37 % (28083)Time elapsed: 0.003 s
% 0.21/0.37 % (28083)Instructions burned: 2 (million)
% 0.21/0.37 % (28083)------------------------------
% 0.21/0.37 % (28083)------------------------------
% 0.21/0.37 % (28082)Instruction limit reached!
% 0.21/0.37 % (28082)------------------------------
% 0.21/0.37 % (28082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (28082)Termination reason: Unknown
% 0.21/0.37 % (28082)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (28082)Memory used [KB]: 5500
% 0.21/0.37 % (28082)Time elapsed: 0.003 s
% 0.21/0.37 % (28082)Instructions burned: 2 (million)
% 0.21/0.37 % (28082)------------------------------
% 0.21/0.37 % (28082)------------------------------
% 0.21/0.37 % (28079)First to succeed.
% 0.21/0.37 % (28086)Instruction limit reached!
% 0.21/0.37 % (28086)------------------------------
% 0.21/0.37 % (28086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (28086)Termination reason: Unknown
% 0.21/0.37 % (28086)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (28086)Memory used [KB]: 5500
% 0.21/0.37 % (28086)Time elapsed: 0.005 s
% 0.21/0.37 % (28086)Instructions burned: 3 (million)
% 0.21/0.37 % (28086)------------------------------
% 0.21/0.37 % (28086)------------------------------
% 0.21/0.37 % (28084)Also succeeded, but the first one will report.
% 0.21/0.38 % (28079)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (28079)------------------------------
% 0.21/0.38 % (28079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (28079)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (28079)Memory used [KB]: 5500
% 0.21/0.38 % (28079)Time elapsed: 0.006 s
% 0.21/0.38 % (28079)Instructions burned: 2 (million)
% 0.21/0.38 % (28079)------------------------------
% 0.21/0.38 % (28079)------------------------------
% 0.21/0.38 % (28078)Success in time 0.006 s
% 0.21/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------