TSTP Solution File: SEU844^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU844^5 : 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 : 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 : Tue May 21 03:51:54 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 200 ( 59 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 160 ( 33 ~; 32 |; 17 &; 60 @)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 0 ^ 34 !; 6 ?; 42 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cS: a > $o ).
thf(func_def_2,type,
cT: a > $o ).
thf(func_def_4,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_7,type,
sK0: a ).
thf(func_def_8,type,
sK1: a ).
thf(func_def_10,type,
ph3:
!>[X0: $tType] : X0 ).
thf(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f33,f34,f35,f50,f58]) ).
thf(f58,plain,
( spl2_1
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f57]) ).
thf(f57,plain,
( $false
| spl2_1
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f54,plain,
( ( $false = $true )
| spl2_1
| ~ spl2_4 ),
inference(backward_demodulation,[],[f32,f43]) ).
thf(f43,plain,
( ! [X0: a > $o] :
( $false
= ( X0 @ sK1 ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f39,plain,
( ! [X0: a > $o] :
( ( $true != $true )
| ( $false
= ( X0 @ sK1 ) ) )
| spl2_1 ),
inference(superposition,[],[f19,f37]) ).
thf(f37,plain,
! [X2: a,X0: a > $o,X1: a > $o] :
( ( $true
= ( X0 @ X2 ) )
| ( $false
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
! [X2: a,X0: a > $o,X1: a > $o] :
( ( X0 @ X2 )
= ( X1 @ X2 ) ),
inference(argument_congruence,[],[f15]) ).
thf(f15,plain,
! [X0: a > $o,X1: a > $o] : ( X0 = X1 ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ! [X0: a > $o,X1: a > $o] : ( X0 = X1 )
& ( ( ( $true
= ( cT @ sK0 ) )
& ( ( cS @ sK0 )
!= $true ) )
| ( ( $true
!= ( cT @ sK1 ) )
& ( $true
= ( cS @ sK1 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).
thf(f8,plain,
( ? [X2: a] :
( ( ( cT @ X2 )
= $true )
& ( ( cS @ X2 )
!= $true ) )
=> ( ( $true
= ( cT @ sK0 ) )
& ( ( cS @ sK0 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X3: a] :
( ( $true
!= ( cT @ X3 ) )
& ( $true
= ( cS @ X3 ) ) )
=> ( ( $true
!= ( cT @ sK1 ) )
& ( $true
= ( cS @ sK1 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
( ! [X0: a > $o,X1: a > $o] : ( X0 = X1 )
& ( ? [X2: a] :
( ( ( cT @ X2 )
= $true )
& ( ( cS @ X2 )
!= $true ) )
| ? [X3: a] :
( ( $true
!= ( cT @ X3 ) )
& ( $true
= ( cS @ X3 ) ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
( ! [X1: a > $o,X0: a > $o] : ( X0 = X1 )
& ( ? [X2: a] :
( ( ( cT @ X2 )
= $true )
& ( ( cS @ X2 )
!= $true ) )
| ? [X3: a] :
( ( $true
!= ( cT @ X3 ) )
& ( $true
= ( cS @ X3 ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ! [X1: a > $o,X0: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( ( ( cT @ X2 )
= $true )
=> ( ( cS @ X2 )
= $true ) )
& ! [X3: a] :
( ( $true
= ( cS @ X3 ) )
=> ( $true
= ( cT @ X3 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( ( cT @ X2 )
=> ( cS @ X2 ) )
& ! [X3: a] :
( ( cS @ X3 )
=> ( cT @ X3 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > $o,X0: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( ( cT @ X2 )
=> ( cS @ X2 ) )
& ! [X2: a] :
( ( cS @ X2 )
=> ( cT @ X2 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X1: a > $o,X0: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( ( cT @ X2 )
=> ( cS @ X2 ) )
& ! [X2: a] :
( ( cS @ X2 )
=> ( cT @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM8_pme) ).
thf(f19,plain,
( ( $true
!= ( cT @ sK1 ) )
| spl2_1 ),
inference(avatar_component_clause,[],[f17]) ).
thf(f17,plain,
( spl2_1
<=> ( $true
= ( cT @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
thf(f32,plain,
( ( $true
= ( cS @ sK1 ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f30,plain,
( spl2_4
<=> ( $true
= ( cS @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
thf(f50,plain,
( spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f49]) ).
thf(f49,plain,
( $false
| spl2_2
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f45,plain,
( ( $false = $true )
| spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f28,f42]) ).
thf(f42,plain,
( ! [X0: a > $o] :
( $false
= ( X0 @ sK0 ) )
| spl2_2 ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f40,plain,
( ! [X0: a > $o] :
( ( $true != $true )
| ( $false
= ( X0 @ sK0 ) ) )
| spl2_2 ),
inference(superposition,[],[f23,f37]) ).
thf(f23,plain,
( ( ( cS @ sK0 )
!= $true )
| spl2_2 ),
inference(avatar_component_clause,[],[f21]) ).
thf(f21,plain,
( spl2_2
<=> ( ( cS @ sK0 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
thf(f28,plain,
( ( $true
= ( cT @ sK0 ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f26,plain,
( spl2_3
<=> ( $true
= ( cT @ sK0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
thf(f35,plain,
( ~ spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f11,f30,f21]) ).
thf(f11,plain,
( ( $true
= ( cS @ sK1 ) )
| ( ( cS @ sK0 )
!= $true ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f34,plain,
( spl2_3
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f14,f17,f26]) ).
thf(f14,plain,
( ( $true
!= ( cT @ sK1 ) )
| ( $true
= ( cT @ sK0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f33,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f13,f30,f26]) ).
thf(f13,plain,
( ( $true
= ( cS @ sK1 ) )
| ( $true
= ( cT @ sK0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f24,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f12,f21,f17]) ).
thf(f12,plain,
( ( ( cS @ sK0 )
!= $true )
| ( $true
!= ( cT @ sK1 ) ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU844^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % 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
% 0.13/0.34 % 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 : Sun May 19 17:35:22 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.35 This is a TH0_THM_EQU_NAR problem
% 0.20/0.35 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
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% 0.20/0.53 % (5182)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.53 % (5175)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.20/0.53 % (5177)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 (2998ds/27Mi)
% 0.20/0.53 % (5178)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.53 % (5179)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 (2998ds/2Mi)
% 0.20/0.53 % (5181)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.20/0.53 % (5179)Instruction limit reached!
% 0.20/0.53 % (5179)------------------------------
% 0.20/0.53 % (5179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (5179)Termination reason: Unknown
% 0.20/0.53 % (5179)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5179)Memory used [KB]: 5373
% 0.20/0.53 % (5179)Time elapsed: 0.003 s
% 0.20/0.53 % (5179)Instructions burned: 2 (million)
% 0.20/0.53 % (5179)------------------------------
% 0.20/0.53 % (5179)------------------------------
% 0.20/0.53 % (5182)Instruction limit reached!
% 0.20/0.53 % (5182)------------------------------
% 0.20/0.53 % (5182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (5182)Termination reason: Unknown
% 0.20/0.53 % (5182)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5182)Memory used [KB]: 5500
% 0.20/0.53 % (5182)Time elapsed: 0.004 s
% 0.20/0.53 % (5182)Instructions burned: 3 (million)
% 0.20/0.53 % (5182)------------------------------
% 0.20/0.53 % (5182)------------------------------
% 0.20/0.53 % (5178)Instruction limit reached!
% 0.20/0.53 % (5178)------------------------------
% 0.20/0.53 % (5178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (5178)Termination reason: Unknown
% 0.20/0.53 % (5178)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5178)Memory used [KB]: 5500
% 0.20/0.53 % (5178)Time elapsed: 0.004 s
% 0.20/0.53 % (5178)Instructions burned: 3 (million)
% 0.20/0.53 % (5178)------------------------------
% 0.20/0.53 % (5178)------------------------------
% 0.20/0.53 % (5177)First to succeed.
% 0.20/0.53 % (5175)Also succeeded, but the first one will report.
% 0.20/0.53 % (5177)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (5177)------------------------------
% 0.20/0.54 % (5177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (5177)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (5177)Memory used [KB]: 5500
% 0.20/0.54 % (5177)Time elapsed: 0.005 s
% 0.20/0.54 % (5177)Instructions burned: 2 (million)
% 0.20/0.54 % (5177)------------------------------
% 0.20/0.54 % (5177)------------------------------
% 0.20/0.54 % (5040)Success in time 0.181 s
% 0.20/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------