TSTP Solution File: ANA034-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA034-2 : 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 : n016.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 15:45:03 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 101 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 113 ( 57 ~; 54 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f406,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f402,f405]) ).
fof(f405,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| spl0_12 ),
inference(subsumption_resolution,[],[f403,f16]) ).
fof(f16,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f15,f11]) ).
fof(f11,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f15,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f403,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_12 ),
inference(resolution,[],[f103,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f103,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| spl0_12 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_12
<=> c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f402,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f401,f35,f101]) ).
fof(f35,plain,
( spl0_3
<=> c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f401,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f400,f7]) ).
fof(f7,axiom,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f400,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f397,f8]) ).
fof(f8,axiom,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f397,plain,
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ spl0_3 ),
inference(resolution,[],[f91,f10]) ).
fof(f10,axiom,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f91,plain,
( ! [X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X1,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f89,f36]) ).
fof(f36,plain,
( c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f89,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(X1,t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X1,t_b),t_b)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(superposition,[],[f49,f9]) ).
fof(f9,axiom,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f49,plain,
! [X2,X3,X4,X5] :
( c_lessequals(c_HOL_Oabs(c_times(X2,X3,t_b),t_b),c_times(X4,X5,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X2,t_b),X4,t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X3,t_b),t_b)
| ~ c_lessequals(c_0,X4,t_b)
| ~ c_lessequals(c_HOL_Oabs(X3,t_b),X5,t_b) ),
inference(subsumption_resolution,[],[f41,f19]) ).
fof(f19,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f14,f11]) ).
fof(f14,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_Ring__and__Field_Opordered__semiring(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f41,plain,
! [X2,X3,X4,X5] :
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_0,X4,t_b)
| ~ c_lessequals(c_HOL_Oabs(X2,t_b),X4,t_b)
| ~ c_lessequals(c_HOL_Oabs(X3,t_b),X5,t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X3,t_b),t_b)
| c_lessequals(c_HOL_Oabs(c_times(X2,X3,t_b),t_b),c_times(X4,X5,t_b),t_b) ),
inference(superposition,[],[f2,f22]) ).
fof(f22,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,[],[f1,f11]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_times(X1,X3,X0),c_times(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ c_lessequals(X3,X4,X0)
| ~ c_lessequals(c_0,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__mono_0) ).
fof(f70,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f68,f16]) ).
fof(f68,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_3 ),
inference(resolution,[],[f64,f5]) ).
fof(f64,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b)
| spl0_3 ),
inference(subsumption_resolution,[],[f63,f21]) ).
fof(f21,plain,
c_lessequals(c_0,v_c,t_b),
inference(subsumption_resolution,[],[f20,f17]) ).
fof(f17,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f16,f12]) ).
fof(f12,axiom,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_Orderings_Oorder(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f20,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,v_c,t_b) ),
inference(resolution,[],[f4,f6]) ).
fof(f6,axiom,
c_less(c_0,v_c,t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4,axiom,
! [X0,X6,X5] :
( ~ c_less(X5,X6,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X5,X6,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f63,plain,
( ~ c_lessequals(c_0,v_c,t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b)
| spl0_3 ),
inference(subsumption_resolution,[],[f62,f18]) ).
fof(f18,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(resolution,[],[f13,f11]) ).
fof(f13,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_Ring__and__Field_Opordered__cancel__semiring(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f62,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b)
| ~ c_lessequals(c_0,v_c,t_b)
| spl0_3 ),
inference(resolution,[],[f37,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_lessequals(c_0,c_times(X1,X2,X0),X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f37,plain,
( ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA034-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 : n016.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 15:36:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.46 % (29473)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)
% 0.19/0.47 % (29481)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.49 % (29473)First to succeed.
% 0.19/0.51 % (29473)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (29473)------------------------------
% 0.19/0.51 % (29473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29473)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (29473)Memory used [KB]: 5884
% 0.19/0.51 % (29473)Time elapsed: 0.097 s
% 0.19/0.51 % (29473)Instructions burned: 19 (million)
% 0.19/0.51 % (29473)------------------------------
% 0.19/0.51 % (29473)------------------------------
% 0.19/0.51 % (29452)Success in time 0.167 s
%------------------------------------------------------------------------------