TSTP Solution File: ANA010-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA010-2 : 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 15:44:56 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(subsumption_resolution,[],[f41,f5]) ).
fof(f5,axiom,
! [X6] : c_lessequals(v_f(X6),c_times(v_c,v_g(X6),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f41,plain,
~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
inference(superposition,[],[f28,f21]) ).
fof(f21,plain,
! [X0] : c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) = c_times(v_c,v_g(X0),t_b),
inference(subsumption_resolution,[],[f19,f10]) ).
fof(f10,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f8,f9]) ).
fof(f9,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f8,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f19,plain,
! [X0] :
( c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) = c_times(v_c,v_g(X0),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(resolution,[],[f18,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,X0)
| c_HOL_Oabs(X1,X0) = X1
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f18,plain,
! [X0] : c_lessequals(c_0,c_times(v_c,v_g(X0),t_b),t_b),
inference(resolution,[],[f17,f5]) ).
fof(f17,plain,
! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(subsumption_resolution,[],[f14,f11]) ).
fof(f11,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f10,f7]) ).
fof(f7,axiom,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_Orderings_Oorder(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f14,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(v_f(X0),X1,t_b) ),
inference(resolution,[],[f2,f4]) ).
fof(f4,axiom,
! [X6] : c_lessequals(c_0,v_f(X6),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f28,plain,
! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
inference(superposition,[],[f6,f23]) ).
fof(f23,plain,
! [X0,X1] : c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b),
inference(resolution,[],[f3,f9]) ).
fof(f3,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X4,X5,X0),X0) = c_times(c_HOL_Oabs(X4,X0),c_HOL_Oabs(X5,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f6,axiom,
! [X6] : ~ c_lessequals(v_f(v_x(X6)),c_times(X6,c_HOL_Oabs(v_g(v_x(X6)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 15:26:05 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.47 % (29089)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.48 % (29080)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)
% 0.18/0.48 % (29085)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48 % (29085)Instruction limit reached!
% 0.18/0.48 % (29085)------------------------------
% 0.18/0.48 % (29085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (29085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (29085)Termination reason: Unknown
% 0.18/0.48 % (29085)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (29085)Memory used [KB]: 5373
% 0.18/0.48 % (29085)Time elapsed: 0.095 s
% 0.18/0.48 % (29085)Instructions burned: 2 (million)
% 0.18/0.48 % (29085)------------------------------
% 0.18/0.48 % (29085)------------------------------
% 0.18/0.48 % (29089)First to succeed.
% 0.18/0.48 % (29089)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (29089)------------------------------
% 0.18/0.48 % (29089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (29089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (29089)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (29089)Memory used [KB]: 5500
% 0.18/0.48 % (29089)Time elapsed: 0.089 s
% 0.18/0.48 % (29089)Instructions burned: 3 (million)
% 0.18/0.48 % (29089)------------------------------
% 0.18/0.48 % (29089)------------------------------
% 0.18/0.48 % (29076)Success in time 0.143 s
%------------------------------------------------------------------------------