TSTP Solution File: ANA014-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n010.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 15:44:56 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 54 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f326,plain,
$false,
inference(subsumption_resolution,[],[f325,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f325,plain,
~ class_Ring__and__Field_Oordered__field(t_a),
inference(resolution,[],[f324,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(f324,plain,
~ class_Orderings_Oorder(t_a),
inference(resolution,[],[f323,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(f323,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(subsumption_resolution,[],[f318,f1]) ).
fof(f1,axiom,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f318,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)
| v_c = c_0 ),
inference(superposition,[],[f98,f29]) ).
fof(f29,plain,
! [X2,X3] :
( c_times(c_HOL_Oinverse(X2,t_a),c_times(X2,X3,t_a),t_a) = X3
| c_0 = X2 ),
inference(forward_demodulation,[],[f25,f16]) ).
fof(f16,plain,
! [X0] : c_times(c_1,X0,t_a) = X0,
inference(resolution,[],[f15,f3]) ).
fof(f15,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_times(c_1,X0,X1) = X0 ),
inference(resolution,[],[f14,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(f14,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(c_1,X0,X1) = X0 ),
inference(resolution,[],[f4,f9]) ).
fof(f9,axiom,
! [X7] :
( class_OrderedGroup_Omonoid__mult(X7)
| ~ class_Ring__and__Field_Ofield(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
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(f25,plain,
! [X2,X3] :
( c_0 = X2
| c_times(c_1,X3,t_a) = c_times(c_HOL_Oinverse(X2,t_a),c_times(X2,X3,t_a),t_a) ),
inference(superposition,[],[f23,f18]) ).
fof(f18,plain,
! [X0] :
( c_1 = c_times(c_HOL_Oinverse(X0,t_a),X0,t_a)
| c_0 = X0 ),
inference(resolution,[],[f17,f3]) ).
fof(f17,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_1 = c_times(c_HOL_Oinverse(X0,X1),X0,X1)
| c_0 = X0 ),
inference(resolution,[],[f8,f11]) ).
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(f23,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(resolution,[],[f21,f3]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X3)
| c_times(X0,c_times(X1,X2,X3),X3) = c_times(c_times(X0,X1,X3),X2,X3) ),
inference(resolution,[],[f19,f11]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X2)
| c_times(X0,c_times(X1,X3,X2),X2) = c_times(c_times(X0,X1,X2),X3,X2) ),
inference(resolution,[],[f5,f10]) ).
fof(f10,axiom,
! [X7] :
( class_OrderedGroup_Osemigroup__mult(X7)
| ~ class_Ring__and__Field_Ofield(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
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(f98,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,[],[f97,f22]) ).
fof(f22,plain,
! [X0,X1] : c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a) = c_HOL_Oabs(c_times(X0,X1,t_a),t_a),
inference(resolution,[],[f20,f3]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2) ),
inference(resolution,[],[f7,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(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(f97,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(forward_demodulation,[],[f2,f22]) ).
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
% 0.06/0.11 % Problem : ANA014-2 : 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
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 15:04:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 % (23960)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.44 % (23975)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.45 % (23960)Refutation not found, incomplete strategy% (23960)------------------------------
% 0.18/0.45 % (23960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45 % (23960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45 % (23960)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.45
% 0.18/0.45 % (23960)Memory used [KB]: 5373
% 0.18/0.45 % (23960)Time elapsed: 0.075 s
% 0.18/0.45 % (23960)Instructions burned: 2 (million)
% 0.18/0.45 % (23960)------------------------------
% 0.18/0.45 % (23960)------------------------------
% 0.18/0.47 % (23967)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.47 % (23976)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.47 % (23967)Instruction limit reached!
% 0.18/0.47 % (23967)------------------------------
% 0.18/0.47 % (23967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (23967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (23967)Termination reason: Unknown
% 0.18/0.47 % (23967)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (23967)Memory used [KB]: 5373
% 0.18/0.47 % (23967)Time elapsed: 0.091 s
% 0.18/0.47 % (23967)Instructions burned: 3 (million)
% 0.18/0.47 % (23967)------------------------------
% 0.18/0.47 % (23967)------------------------------
% 0.18/0.47 % (23968)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.47 TRYING [1]
% 0.18/0.48 % (23984)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.48 TRYING [2]
% 0.18/0.48 % (23974)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)
% 0.18/0.48 TRYING [3]
% 0.18/0.49 % (23959)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)
% 0.18/0.49 % (23966)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (23975)First to succeed.
% 0.18/0.49 TRYING [1]
% 0.18/0.49 TRYING [2]
% 0.18/0.49 % (23982)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)
% 0.18/0.49 % (23983)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.49 TRYING [3]
% 0.18/0.49 % (23985)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)
% 0.18/0.49 % (23982)Also succeeded, but the first one will report.
% 0.18/0.49 % (23975)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (23975)------------------------------
% 0.18/0.49 % (23975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (23975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (23975)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (23975)Memory used [KB]: 5756
% 0.18/0.49 % (23975)Time elapsed: 0.111 s
% 0.18/0.49 % (23975)Instructions burned: 20 (million)
% 0.18/0.49 % (23975)------------------------------
% 0.18/0.49 % (23975)------------------------------
% 0.18/0.49 % (23958)Success in time 0.155 s
%------------------------------------------------------------------------------