TSTP Solution File: ANA017-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 15:44:57 EDT 2022
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 62 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 22 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f81,f85,f91,f125]) ).
fof(f125,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f84,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f84,plain,
( ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_b(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),t_b),t_b)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_7
<=> ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_b(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f91,plain,
( ~ spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f90,f40,f49]) ).
fof(f49,plain,
( spl0_5
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f40,plain,
( spl0_4
<=> c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f90,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_4 ),
inference(resolution,[],[f42,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f42,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f85,plain,
( spl0_7
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f59,f28,f40,f83]) ).
fof(f28,plain,
( spl0_1
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f59,plain,
! [X0] :
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(v_c,t_b),X0,t_b))),t_b),t_b),t_b) ),
inference(resolution,[],[f21,f7]) ).
fof(f7,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f21,plain,
! [X0,X1] : ~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_b(v_x(c_times(X0,X1,t_b))),t_b),t_b),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_b))),t_b),t_b),t_b),t_b),
inference(backward_demodulation,[],[f16,f19]) ).
fof(f19,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f6,axiom,
! [X2,X3,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f16,plain,
! [X0,X1] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(c_times(X0,X1,t_b))),t_b),t_b),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_b))),t_b),t_b),t_b),t_b),
inference(superposition,[],[f2,f14]) ).
fof(f14,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(c_times(X0,X1,t_b),X2,t_b),
inference(resolution,[],[f11,f5]) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f11,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(resolution,[],[f8,f3]) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f81,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f30,f12]) ).
fof(f12,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f9,f3]) ).
fof(f9,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f30,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f76,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f51,f13]) ).
fof(f13,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f10,f3]) ).
fof(f10,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f51,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:14:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (25546)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.57 % (25536)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57 % (25533)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (25533)Instruction limit reached!
% 0.20/0.57 % (25533)------------------------------
% 0.20/0.57 % (25533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (25533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (25533)Termination reason: Unknown
% 0.20/0.57 % (25533)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (25533)Memory used [KB]: 5373
% 0.20/0.57 % (25533)Time elapsed: 0.147 s
% 0.20/0.57 % (25533)Instructions burned: 2 (million)
% 0.20/0.57 % (25533)------------------------------
% 0.20/0.57 % (25533)------------------------------
% 0.20/0.57 % (25525)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.58 % (25540)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.58 % (25539)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.58 TRYING [1]
% 0.20/0.58 TRYING [2]
% 0.20/0.58 % (25554)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.58 % (25530)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.58 % (25534)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 % (25531)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 TRYING [3]
% 0.20/0.59 % (25548)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.59 % (25528)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (25554)First to succeed.
% 0.20/0.59 % (25529)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (25535)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60 % (25554)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (25554)------------------------------
% 0.20/0.60 % (25554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (25554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (25554)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (25554)Memory used [KB]: 5500
% 0.20/0.60 % (25554)Time elapsed: 0.164 s
% 0.20/0.60 % (25554)Instructions burned: 6 (million)
% 0.20/0.60 % (25554)------------------------------
% 0.20/0.60 % (25554)------------------------------
% 0.20/0.60 % (25524)Success in time 0.237 s
%------------------------------------------------------------------------------