TSTP Solution File: ANA016-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA016-2 : 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 15:44:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 13 unt; 3 typ; 0 def)
% Number of atoms : 47 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_7,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_8,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f148,plain,
$false,
inference(subsumption_resolution,[],[f147,f16]) ).
fof(f16,plain,
v_c != c_0,
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
v_c != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f147,plain,
v_c = c_0,
inference(trivial_inequality_removal,[],[f142]) ).
fof(f142,plain,
( v_c = c_0
| v_g(v_x) != v_g(v_x) ),
inference(superposition,[],[f17,f73]) ).
fof(f73,plain,
! [X0,X1] :
( c_times(X0,c_times(c_HOL_Oinverse(X0,t_a),X1,t_a),t_a) = X1
| c_0 = X0 ),
inference(forward_demodulation,[],[f68,f59]) ).
fof(f59,plain,
! [X0] : c_times(c_1,X0,t_a) = X0,
inference(resolution,[],[f57,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_times(c_1,X1,X0) = X1 ),
inference(literal_reordering,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_times(c_1,X1,X0) = X1
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f57,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference(resolution,[],[f51,f15]) ).
fof(f15,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
inference(literal_reordering,[],[f7]) ).
fof(f7,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
fof(f51,plain,
class_Ring__and__Field_Ofield(t_a),
inference(resolution,[],[f10,f12]) ).
fof(f12,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f10,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
inference(literal_reordering,[],[f9]) ).
fof(f9,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f68,plain,
! [X0,X1] :
( c_0 = X0
| c_times(X0,c_times(c_HOL_Oinverse(X0,t_a),X1,t_a),t_a) = c_times(c_1,X1,t_a) ),
inference(superposition,[],[f60,f56]) ).
fof(f56,plain,
! [X0] :
( c_1 = c_times(X0,c_HOL_Oinverse(X0,t_a),t_a)
| c_0 = X0 ),
inference(resolution,[],[f51,f14]) ).
fof(f14,plain,
! [X2,X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_0 = X2
| c_1 = c_times(X2,c_HOL_Oinverse(X2,X0),X0) ),
inference(literal_reordering,[],[f6]) ).
fof(f6,axiom,
! [X2,X0] :
( c_1 = c_times(X2,c_HOL_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0)
| c_0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).
fof(f60,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(resolution,[],[f58,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X2,X3,X0),X4,X0) = c_times(X2,c_times(X3,X4,X0),X0) ),
inference(literal_reordering,[],[f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X4] :
( c_times(c_times(X2,X3,X0),X4,X0) = c_times(X2,c_times(X3,X4,X0),X0)
| ~ class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f58,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(resolution,[],[f51,f13]) ).
fof(f13,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
inference(literal_reordering,[],[f8]) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f17,plain,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
inference(literal_reordering,[],[f2]) ).
fof(f2,axiom,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA016-2 : 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
% 0.12/0.33 % 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 15:34:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (25367)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)
% 0.19/0.49 % (25363)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (25359)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 % (25355)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (25351)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (25371)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (25359)First to succeed.
% 0.19/0.51 % (25363)Also succeeded, but the first one will report.
% 0.19/0.51 % (25359)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 % (25359)------------------------------
% 0.19/0.51 % (25359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25359)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (25359)Memory used [KB]: 5756
% 0.19/0.51 % (25359)Time elapsed: 0.012 s
% 0.19/0.51 % (25359)Instructions burned: 8 (million)
% 0.19/0.51 % (25359)------------------------------
% 0.19/0.51 % (25359)------------------------------
% 0.19/0.51 % (25344)Success in time 0.169 s
%------------------------------------------------------------------------------