TSTP Solution File: ANA037-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA037-2 : 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 : n012.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 15:45:04 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,plain,
$false,
inference(subsumption_resolution,[],[f51,f12]) ).
fof(f12,plain,
! [X0,X1] : c_lessequals(X0,c_Orderings_Omax(X0,X1,t_b),t_b),
inference(resolution,[],[f11,f4]) ).
fof(f4,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X0,c_Orderings_Omax(X0,X1,X2),X2) ),
inference(resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X8] :
( class_Orderings_Olinorder(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI1_0) ).
fof(f51,plain,
~ c_lessequals(v_c,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
inference(resolution,[],[f48,f3]) ).
fof(f3,axiom,
~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f48,plain,
! [X2] :
( c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(X2,v_f(v_xa),t_b),t_b)
| ~ c_lessequals(v_c,X2,t_b) ),
inference(resolution,[],[f24,f2]) ).
fof(f2,axiom,
c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_times(X1,v_f(v_xa),t_b),t_b)
| ~ c_lessequals(X1,X2,t_b)
| c_lessequals(X0,c_times(X2,v_f(v_xa),t_b),t_b) ),
inference(resolution,[],[f20,f1]) ).
fof(f1,axiom,
c_lessequals(c_0,v_f(v_xa),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f20,plain,
! [X8,X6,X7,X5] :
( ~ c_lessequals(c_0,X7,t_b)
| ~ c_lessequals(X5,c_times(X6,X7,t_b),t_b)
| ~ c_lessequals(X6,X8,t_b)
| c_lessequals(X5,c_times(X8,X7,t_b),t_b) ),
inference(resolution,[],[f15,f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( c_lessequals(c_times(X1,X0,t_b),c_times(X2,X0,t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(X1,X2,t_b) ),
inference(resolution,[],[f13,f4]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(c_0,X1,X2)
| c_lessequals(c_times(X0,X1,X2),c_times(X3,X1,X2),X2)
| ~ c_lessequals(X0,X3,X2) ),
inference(resolution,[],[f7,f9]) ).
fof(f9,axiom,
! [X8] :
( class_Ring__and__Field_Opordered__semiring(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f7,axiom,
! [X3,X6,X7,X5] :
( ~ class_Ring__and__Field_Opordered__semiring(X3)
| c_lessequals(c_times(X5,X7,X3),c_times(X6,X7,X3),X3)
| ~ c_lessequals(X5,X6,X3)
| ~ c_lessequals(c_0,X7,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(X0,X2,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f14,f4]) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X0,X3,X2)
| ~ c_lessequals(X1,X3,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f6,f10]) ).
fof(f10,axiom,
! [X8] :
( class_Orderings_Oorder(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ANA037-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.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 : Mon Aug 29 15:13:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (12318)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)
% 0.19/0.49 % (12331)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)
% 0.19/0.49 % (12334)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (12318)First to succeed.
% 0.19/0.49 % (12317)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)
% 0.19/0.49 % (12317)Refutation not found, incomplete strategy% (12317)------------------------------
% 0.19/0.49 % (12317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (12317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (12317)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (12317)Memory used [KB]: 5373
% 0.19/0.49 % (12317)Time elapsed: 0.105 s
% 0.19/0.49 % (12317)------------------------------
% 0.19/0.49 % (12317)------------------------------
% 0.19/0.49 % (12320)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (12326)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (12318)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (12318)------------------------------
% 0.19/0.50 % (12318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (12318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (12318)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (12318)Memory used [KB]: 895
% 0.19/0.50 % (12318)Time elapsed: 0.099 s
% 0.19/0.50 % (12318)Instructions burned: 4 (million)
% 0.19/0.50 % (12318)------------------------------
% 0.19/0.50 % (12318)------------------------------
% 0.19/0.50 % (12315)Success in time 0.162 s
%------------------------------------------------------------------------------