TSTP Solution File: ANA039-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA039-2 : 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 : n025.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 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 37 ( 21 unt; 0 def)
% Number of atoms : 63 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,plain,
$false,
inference(subsumption_resolution,[],[f163,f17]) ).
fof(f17,plain,
~ c_lessequals(sF1,sF5,t_a),
inference(definition_folding,[],[f2,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
v_h(v_x) = sF0,
introduced(function_definition,[]) ).
fof(f12,plain,
c_HOL_Oabs(sF0,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f13,plain,
c_HOL_Oabs(v_c,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f14,plain,
v_f(v_x) = sF3,
introduced(function_definition,[]) ).
fof(f15,plain,
sF4 = c_HOL_Oabs(sF3,t_a),
introduced(function_definition,[]) ).
fof(f16,plain,
sF5 = c_times(sF2,sF4,t_a),
introduced(function_definition,[]) ).
fof(f2,axiom,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f163,plain,
c_lessequals(sF1,sF5,t_a),
inference(resolution,[],[f141,f21]) ).
fof(f21,plain,
c_lessequals(sF1,c_times(v_c,sF4,t_a),t_a),
inference(forward_demodulation,[],[f20,f12]) ).
fof(f20,plain,
c_lessequals(c_HOL_Oabs(sF0,t_a),c_times(v_c,sF4,t_a),t_a),
inference(forward_demodulation,[],[f19,f15]) ).
fof(f19,plain,
c_lessequals(c_HOL_Oabs(sF0,t_a),c_times(v_c,c_HOL_Oabs(sF3,t_a),t_a),t_a),
inference(forward_demodulation,[],[f18,f14]) ).
fof(f18,plain,
c_lessequals(c_HOL_Oabs(sF0,t_a),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
inference(superposition,[],[f1,f11]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f141,plain,
! [X1] :
( ~ c_lessequals(X1,c_times(v_c,sF4,t_a),t_a)
| c_lessequals(X1,sF5,t_a) ),
inference(resolution,[],[f138,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,t_a)
| ~ c_lessequals(X2,X0,t_a)
| c_lessequals(X2,X1,t_a) ),
inference(resolution,[],[f28,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| c_lessequals(X3,X1,X2) ),
inference(resolution,[],[f6,f9]) ).
fof(f9,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,
! [X3,X1,X4,X5] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X5,X4,X1)
| ~ c_lessequals(X5,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f138,plain,
c_lessequals(c_times(v_c,sF4,t_a),sF5,t_a),
inference(resolution,[],[f78,f31]) ).
fof(f31,plain,
c_lessequals(v_c,sF2,t_a),
inference(superposition,[],[f29,f13]) ).
fof(f29,plain,
! [X0] : c_lessequals(X0,c_HOL_Oabs(X0,t_a),t_a),
inference(resolution,[],[f26,f3]) ).
fof(f26,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(X0,c_HOL_Oabs(X0,X1),X1) ),
inference(resolution,[],[f4,f10]) ).
fof(f10,axiom,
! [X8] :
( class_OrderedGroup_Olordered__ab__group__abs(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f4,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(X2,c_HOL_Oabs(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).
fof(f78,plain,
! [X0] :
( ~ c_lessequals(X0,sF2,t_a)
| c_lessequals(c_times(X0,sF4,t_a),sF5,t_a) ),
inference(superposition,[],[f53,f16]) ).
fof(f53,plain,
! [X0,X1] :
( c_lessequals(c_times(X0,sF4,t_a),c_times(X1,sF4,t_a),t_a)
| ~ c_lessequals(X0,X1,t_a) ),
inference(resolution,[],[f38,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,X1,t_a)
| ~ c_lessequals(X0,X2,t_a)
| c_lessequals(c_times(X0,X1,t_a),c_times(X2,X1,t_a),t_a) ),
inference(resolution,[],[f33,f3]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(c_times(X0,X3,X2),c_times(X1,X3,X2),X2)
| ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_0,X3,X2) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,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,
! [X2,X1,X6,X7] :
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X6,X1)
| ~ c_lessequals(c_0,X7,X1)
| c_lessequals(c_times(X2,X7,X1),c_times(X6,X7,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
fof(f38,plain,
c_lessequals(c_0,sF4,t_a),
inference(superposition,[],[f34,f15]) ).
fof(f34,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(resolution,[],[f27,f3]) ).
fof(f27,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1) ),
inference(resolution,[],[f5,f10]) ).
fof(f5,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14 % 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 : n025.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 15:27:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.48 % (18561)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)
% 0.21/0.49 % (18561)First to succeed.
% 0.21/0.49 % (18569)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 % (18561)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (18561)------------------------------
% 0.21/0.51 % (18561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (18561)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (18561)Memory used [KB]: 1023
% 0.21/0.51 % (18561)Time elapsed: 0.073 s
% 0.21/0.51 % (18561)Instructions burned: 12 (million)
% 0.21/0.51 % (18561)------------------------------
% 0.21/0.51 % (18561)------------------------------
% 0.21/0.51 % (18545)Success in time 0.146 s
%------------------------------------------------------------------------------