TSTP Solution File: ANA014-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA014-2 : 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_uns --cores 0 -t %d %s
% Computer : n029.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 15:44:33 EDT 2022
% Result : Unsatisfiable 1.83s 0.75s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 40 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,plain,
$false,
inference(subsumption_resolution,[],[f45,f26]) ).
fof(f26,plain,
! [X0] : c_lessequals(X0,X0,t_a),
inference(unit_resulting_resolution,[],[f16,f6]) ).
fof(f6,axiom,
! [X1,X6] :
( c_lessequals(X6,X6,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f16,plain,
class_Orderings_Oorder(t_a),
inference(unit_resulting_resolution,[],[f3,f13]) ).
fof(f13,axiom,
! [X7] :
( class_Orderings_Oorder(X7)
| ~ class_Ring__and__Field_Oordered__field(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f45,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a),
inference(superposition,[],[f29,f42]) ).
fof(f42,plain,
! [X9] : c_times(c_HOL_Oinverse(v_c,t_a),c_times(v_c,X9,t_a),t_a) = X9,
inference(forward_demodulation,[],[f38,f30]) ).
fof(f30,plain,
! [X0] : c_times(c_1,X0,t_a) = X0,
inference(unit_resulting_resolution,[],[f22,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f22,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference(resolution,[],[f15,f9]) ).
fof(f9,axiom,
! [X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| class_OrderedGroup_Omonoid__mult(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
fof(f15,plain,
class_Ring__and__Field_Ofield(t_a),
inference(unit_resulting_resolution,[],[f3,f11]) ).
fof(f11,axiom,
! [X7] :
( class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Oordered__field(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f38,plain,
! [X9] : c_times(c_HOL_Oinverse(v_c,t_a),c_times(v_c,X9,t_a),t_a) = c_times(c_1,X9,t_a),
inference(superposition,[],[f27,f18]) ).
fof(f18,plain,
c_1 = c_times(c_HOL_Oinverse(v_c,t_a),v_c,t_a),
inference(unit_resulting_resolution,[],[f1,f15,f8]) ).
fof(f8,axiom,
! [X3,X1] :
( ~ class_Ring__and__Field_Ofield(X1)
| c_0 = X3
| c_1 = c_times(c_HOL_Oinverse(X3,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
fof(f1,axiom,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f27,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_a),t_a) = c_times(c_times(X0,X1,t_a),X2,t_a),
inference(unit_resulting_resolution,[],[f20,f5]) ).
fof(f5,axiom,
! [X3,X1,X4,X5] :
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X3,X4,X1),X5,X1) = c_times(X3,c_times(X4,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f20,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(resolution,[],[f15,f10]) ).
fof(f10,axiom,
! [X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| class_OrderedGroup_Osemigroup__mult(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f29,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),c_HOL_Oabs(c_times(X0,c_times(v_c,v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[],[f25,f24]) ).
fof(f24,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_a),t_a) = c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a),
inference(resolution,[],[f14,f7]) ).
fof(f7,axiom,
! [X3,X1,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X3,X4,X1),X1) = c_times(c_HOL_Oabs(X3,X1),c_HOL_Oabs(X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f14,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(unit_resulting_resolution,[],[f3,f12]) ).
fof(f12,axiom,
! [X7] :
( class_Ring__and__Field_Oordered__idom(X7)
| ~ class_Ring__and__Field_Oordered__field(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(f25,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_HOL_Oabs(c_times(v_c,v_f(v_x(X0)),t_a),t_a),t_a),t_a),
inference(backward_demodulation,[],[f2,f24]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ANA014-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:21:26 EDT 2022
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% 1.09/0.71 % (1536)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.09/0.72 % (1544)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.09/0.72 % (1537)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.09/0.73 % (1552)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/97Mi)
% 1.83/0.74 % (1552)First to succeed.
% 1.83/0.74 % (1553)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.83/0.75 % (1552)Refutation found. Thanks to Tanya!
% 1.83/0.75 % SZS status Unsatisfiable for theBenchmark
% 1.83/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.75 % (1552)------------------------------
% 1.83/0.75 % (1552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.75 % (1552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.75 % (1552)Termination reason: Refutation
% 1.83/0.75
% 1.83/0.75 % (1552)Memory used [KB]: 5884
% 1.83/0.75 % (1552)Time elapsed: 0.133 s
% 1.83/0.75 % (1552)Instructions burned: 3 (million)
% 1.83/0.75 % (1552)------------------------------
% 1.83/0.75 % (1552)------------------------------
% 1.83/0.75 % (1365)Success in time 0.391 s
%------------------------------------------------------------------------------