TSTP Solution File: ANA027-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA027-2 : 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 : n003.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 15:45:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 48 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,plain,
$false,
inference(subsumption_resolution,[],[f32,f3]) ).
fof(f3,axiom,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f32,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(resolution,[],[f30,f26]) ).
fof(f26,plain,
c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(resolution,[],[f25,f21]) ).
fof(f21,plain,
! [X0] :
( ~ c_lessequals(v_k(v_x),X0,t_b)
| c_lessequals(v_g(v_x),X0,t_b) ),
inference(resolution,[],[f20,f2]) ).
fof(f2,axiom,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X2,t_b)
| ~ c_lessequals(X2,X1,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f8,f17]) ).
fof(f17,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f16,f9]) ).
fof(f9,axiom,
! [X7] :
( ~ class_LOrder_Ojoin__semilorder(X7)
| class_Orderings_Oorder(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f16,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[],[f11,f14]) ).
fof(f14,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f13,f4]) ).
fof(f4,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f13,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(f11,axiom,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_LOrder_Ojoin__semilorder(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f8,axiom,
! [X0,X1,X6,X5] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X6,X5,X0)
| ~ c_lessequals(X1,X5,X0)
| ~ c_lessequals(X6,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f25,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(forward_demodulation,[],[f24,f19]) ).
fof(f19,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f5,f18]) ).
fof(f18,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(resolution,[],[f12,f4]) ).
fof(f12,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Ocomm__monoid__add(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f5,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f24,plain,
c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b),
inference(resolution,[],[f23,f1]) ).
fof(f1,axiom,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_minus(X2,X1,t_b),t_b)
| c_lessequals(c_plus(X0,X1,t_b),X2,t_b) ),
inference(resolution,[],[f6,f15]) ).
fof(f15,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f10,f14]) ).
fof(f10,axiom,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_OrderedGroup_Opordered__ab__group__add(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f6,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_plus(X2,X4,X0),X3,X0)
| ~ c_lessequals(X2,c_minus(X3,X4,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
fof(f30,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ),
inference(superposition,[],[f29,f19]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X2,t_b),X1,t_b)
| c_lessequals(X0,c_minus(X1,X2,t_b),t_b) ),
inference(resolution,[],[f7,f15]) ).
fof(f7,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(X2,c_minus(X3,X4,X0),X0)
| ~ c_lessequals(c_plus(X2,X4,X0),X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:13:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (2126)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)
% 0.20/0.50 % (2150)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)
% 0.20/0.50 % (2129)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)
% 0.20/0.50 % (2142)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)
% 0.20/0.50 % (2149)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)
% 0.20/0.51 % (2150)First to succeed.
% 0.20/0.51 % (2136)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (2142)Also succeeded, but the first one will report.
% 0.20/0.51 % (2128)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (2133)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (2150)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (2150)------------------------------
% 0.20/0.51 % (2150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2150)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (2150)Memory used [KB]: 5373
% 0.20/0.51 % (2150)Time elapsed: 0.063 s
% 0.20/0.51 % (2150)Instructions burned: 2 (million)
% 0.20/0.51 % (2150)------------------------------
% 0.20/0.51 % (2150)------------------------------
% 0.20/0.51 % (2123)Success in time 0.16 s
%------------------------------------------------------------------------------