TSTP Solution File: ANA043-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA043-2 : 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 : n015.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 15:45:05 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 38 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 20 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(resolution,[],[f53,f2]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f53,plain,
! [X0,X1] : c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_f(X1),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f51,f11]) ).
fof(f11,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(resolution,[],[f10,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_times(X0,c_times(X1,X2,X3),X3) = c_times(X1,c_times(X0,X2,X3),X3) ),
inference(resolution,[],[f5,f7]) ).
fof(f7,axiom,
! [X5] :
( class_OrderedGroup_Oab__semigroup__mult(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__left__commute_0) ).
fof(f51,plain,
! [X0,X1] : c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_f(X1),t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),t_b),
inference(resolution,[],[f50,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_times(c_HOL_Oabs(X2,t_b),X0,t_b),c_times(c_HOL_Oabs(X2,t_b),X1,t_b),t_b) ),
inference(subsumption_resolution,[],[f49,f3]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_times(c_HOL_Oabs(X2,t_b),X0,t_b),c_times(c_HOL_Oabs(X2,t_b),X1,t_b),t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f48,f9]) ).
fof(f9,axiom,
! [X5] :
( class_OrderedGroup_Olordered__ab__group__abs(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_times(c_HOL_Oabs(X2,t_b),X0,t_b),c_times(c_HOL_Oabs(X2,t_b),X1,t_b),t_b) ),
inference(resolution,[],[f47,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(f47,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(X1,X2,t_b)
| c_lessequals(c_times(X0,X1,t_b),c_times(X0,X2,t_b),t_b) ),
inference(resolution,[],[f16,f3]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_0,X0,X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(c_times(X0,X2,X1),c_times(X0,X3,X1),X1) ),
inference(resolution,[],[f6,f8]) ).
fof(f8,axiom,
! [X5] :
( class_Ring__and__Field_Opordered__semiring(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % 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 : n015.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 15:55:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (5392)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)
% 0.21/0.51 % (5377)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (5378)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)
% 0.21/0.51 % (5384)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)
% 0.21/0.51 % (5377)Instruction limit reached!
% 0.21/0.51 % (5377)------------------------------
% 0.21/0.51 % (5377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (5377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (5377)Termination reason: Unknown
% 0.21/0.51 % (5377)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (5377)Memory used [KB]: 5373
% 0.21/0.51 % (5376)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (5377)Time elapsed: 0.104 s
% 0.21/0.51 % (5377)Instructions burned: 2 (million)
% 0.21/0.51 % (5377)------------------------------
% 0.21/0.51 % (5377)------------------------------
% 0.21/0.51 % (5379)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (5373)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (5369)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)
% 0.21/0.52 % (5376)Instruction limit reached!
% 0.21/0.52 % (5376)------------------------------
% 0.21/0.52 % (5376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (5376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (5376)Termination reason: Unknown
% 0.21/0.52 % (5376)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (5376)Memory used [KB]: 5500
% 0.21/0.52 % (5376)Time elapsed: 0.107 s
% 0.21/0.52 % (5376)Instructions burned: 8 (million)
% 0.21/0.52 % (5376)------------------------------
% 0.21/0.52 % (5376)------------------------------
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.52 % (5370)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (5393)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.52 % (5370)Refutation not found, incomplete strategy% (5370)------------------------------
% 0.21/0.52 % (5370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (5370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (5370)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (5370)Memory used [KB]: 5373
% 0.21/0.52 % (5370)Time elapsed: 0.115 s
% 0.21/0.52 % (5370)Instructions burned: 2 (million)
% 0.21/0.52 % (5370)------------------------------
% 0.21/0.52 % (5370)------------------------------
% 0.21/0.53 % (5391)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (5371)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (5398)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)
% 0.21/0.53 % (5397)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (5372)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)
% 0.21/0.54 % (5374)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)
% 0.21/0.54 % (5380)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)
% 0.21/0.54 % (5383)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)
% 0.21/0.54 % (5375)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)
% 0.21/0.54 % (5394)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.55 % (5395)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)
% 0.21/0.55 % (5389)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.55 % (5390)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (5396)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.55 % (5385)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (5387)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (5381)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55 % (5384)First to succeed.
% 0.21/0.55 % (5382)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (5388)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (5386)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56 % (5384)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (5384)------------------------------
% 0.21/0.56 % (5384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (5384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (5384)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (5384)Memory used [KB]: 1407
% 0.21/0.56 % (5384)Time elapsed: 0.148 s
% 0.21/0.56 % (5384)Instructions burned: 34 (million)
% 0.21/0.56 % (5384)------------------------------
% 0.21/0.56 % (5384)------------------------------
% 0.21/0.56 % (5368)Success in time 0.199 s
%------------------------------------------------------------------------------