TSTP Solution File: ANA023-10 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 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 : n022.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 15:44:59 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 55 unt; 3 typ; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 62 ( 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_3,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f488,plain,
$false,
inference(subsumption_resolution,[],[f486,f28]) ).
fof(f28,plain,
true != c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(literal_reordering,[],[f9]) ).
fof(f9,axiom,
true != 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(f486,plain,
true = c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(superposition,[],[f422,f22]) ).
fof(f22,plain,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
inference(literal_reordering,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f422,plain,
true = ifeq(true,true,c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),true),
inference(superposition,[],[f401,f311]) ).
fof(f311,plain,
true = c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(superposition,[],[f261,f22]) ).
fof(f261,plain,
true = ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true),
inference(superposition,[],[f204,f252]) ).
fof(f252,plain,
true = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(backward_demodulation,[],[f133,f195]) ).
fof(f195,plain,
! [X1] : c_plus(c_0,X1,t_b) = X1,
inference(superposition,[],[f155,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f155,plain,
! [X0] : ifeq2(true,true,c_plus(c_0,X0,t_b),X0) = X0,
inference(superposition,[],[f15,f112]) ).
fof(f112,plain,
true = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(superposition,[],[f87,f22]) ).
fof(f87,plain,
true = ifeq(true,true,class_OrderedGroup_Ocomm__monoid__add(t_b),true),
inference(superposition,[],[f25,f27]) ).
fof(f27,plain,
true = class_Ring__and__Field_Oordered__idom(t_b),
inference(literal_reordering,[],[f14]) ).
fof(f14,axiom,
true = class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f25,plain,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Ocomm__monoid__add(X10),true),
inference(literal_reordering,[],[f11]) ).
fof(f11,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Ocomm__monoid__add(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f15,plain,
! [X3,X4] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X3),true,c_plus(c_0,X4,X3),X4) = X4,
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
! [X3,X4] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X3),true,c_plus(c_0,X4,X3),X4) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f133,plain,
true = c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(superposition,[],[f125,f22]) ).
fof(f125,plain,
true = ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),
inference(backward_demodulation,[],[f91,f106]) ).
fof(f106,plain,
true = class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(superposition,[],[f83,f22]) ).
fof(f83,plain,
true = ifeq(true,true,class_OrderedGroup_Opordered__ab__group__add(t_b),true),
inference(superposition,[],[f19,f27]) ).
fof(f19,plain,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Opordered__ab__group__add(X10),true),
inference(literal_reordering,[],[f13]) ).
fof(f13,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Opordered__ab__group__add(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f91,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),
inference(forward_demodulation,[],[f90,f22]) ).
fof(f90,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),true),
inference(superposition,[],[f24,f18]) ).
fof(f18,plain,
true = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(literal_reordering,[],[f7]) ).
fof(f7,axiom,
true = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f24,plain,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(X5,c_minus(X6,X7,X3),X3),true,c_lessequals(c_plus(X5,X7,X3),X6,X3),true),true),
inference(literal_reordering,[],[f4]) ).
fof(f4,axiom,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(X5,c_minus(X6,X7,X3),X3),true,c_lessequals(c_plus(X5,X7,X3),X6,X3),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
fof(f204,plain,
! [X1] : true = ifeq(c_lessequals(X1,v_k(v_x),t_b),true,c_lessequals(X1,v_f(v_x),t_b),true),
inference(superposition,[],[f187,f22]) ).
fof(f187,plain,
! [X0] : true = ifeq(true,true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),true),
inference(backward_demodulation,[],[f104,f178]) ).
fof(f178,plain,
true = class_Orderings_Oorder(t_b),
inference(superposition,[],[f151,f22]) ).
fof(f151,plain,
true = ifeq(true,true,class_Orderings_Oorder(t_b),true),
inference(superposition,[],[f17,f109]) ).
fof(f109,plain,
true = class_Orderings_Olinorder(t_b),
inference(superposition,[],[f85,f22]) ).
fof(f85,plain,
true = ifeq(true,true,class_Orderings_Olinorder(t_b),true),
inference(superposition,[],[f23,f27]) ).
fof(f23,plain,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_Orderings_Olinorder(X10),true),
inference(literal_reordering,[],[f12]) ).
fof(f12,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_Orderings_Olinorder(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f17,plain,
! [X10] : true = ifeq(class_Orderings_Olinorder(X10),true,class_Orderings_Oorder(X10),true),
inference(literal_reordering,[],[f10]) ).
fof(f10,axiom,
! [X10] : true = ifeq(class_Orderings_Olinorder(X10),true,class_Orderings_Oorder(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f104,plain,
! [X0] : true = ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),true),
inference(forward_demodulation,[],[f97,f22]) ).
fof(f97,plain,
! [X0] : true = ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,ifeq(true,true,c_lessequals(X0,v_f(v_x),t_b),true),true),true),
inference(superposition,[],[f21,f16]) ).
fof(f16,plain,
true = c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(literal_reordering,[],[f8]) ).
fof(f8,axiom,
true = c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f21,plain,
! [X3,X8,X9,X4] : true = ifeq(class_Orderings_Oorder(X3),true,ifeq(c_lessequals(X8,X4,X3),true,ifeq(c_lessequals(X4,X9,X3),true,c_lessequals(X8,X9,X3),true),true),true),
inference(literal_reordering,[],[f6]) ).
fof(f6,axiom,
! [X3,X8,X9,X4] : true = ifeq(class_Orderings_Oorder(X3),true,ifeq(c_lessequals(X8,X4,X3),true,ifeq(c_lessequals(X4,X9,X3),true,c_lessequals(X8,X9,X3),true),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f401,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true),
inference(superposition,[],[f393,f195]) ).
fof(f393,plain,
! [X3,X4,X5] : true = ifeq(c_lessequals(c_plus(X3,X4,t_b),X5,t_b),true,c_lessequals(X3,c_minus(X5,X4,t_b),t_b),true),
inference(superposition,[],[f128,f22]) ).
fof(f128,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(c_lessequals(c_plus(X0,X1,t_b),X2,t_b),true,c_lessequals(X0,c_minus(X2,X1,t_b),t_b),true),true),
inference(superposition,[],[f26,f106]) ).
fof(f26,plain,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(c_plus(X5,X7,X3),X6,X3),true,c_lessequals(X5,c_minus(X6,X7,X3),X3),true),true),
inference(literal_reordering,[],[f5]) ).
fof(f5,axiom,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(c_plus(X5,X7,X3),X6,X3),true,c_lessequals(X5,c_minus(X6,X7,X3),X3),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n022.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 29 15:14:11 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.47 % (26716)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)
% 0.18/0.47 % (26708)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)
% 0.18/0.48 % (26724)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)
% 0.18/0.48 % (26710)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (26716)First to succeed.
% 0.18/0.49 TRYING [1]
% 0.18/0.49 TRYING [2]
% 0.18/0.49 TRYING [3]
% 0.18/0.50 % (26710)Instruction limit reached!
% 0.18/0.50 % (26710)------------------------------
% 0.18/0.50 % (26710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (26710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (26710)Termination reason: Unknown
% 0.18/0.50 % (26710)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (26710)Memory used [KB]: 5373
% 0.18/0.50 % (26710)Time elapsed: 0.119 s
% 0.18/0.50 % (26710)Instructions burned: 3 (million)
% 0.18/0.50 % (26710)------------------------------
% 0.18/0.50 % (26710)------------------------------
% 0.18/0.50 % (26725)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)
% 0.18/0.50 % (26708)Instruction limit reached!
% 0.18/0.50 % (26708)------------------------------
% 0.18/0.50 % (26708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (26711)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)
% 0.18/0.50 % (26709)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (26716)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (26716)------------------------------
% 0.18/0.50 % (26716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (26716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (26716)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (26716)Memory used [KB]: 6012
% 0.18/0.50 % (26716)Time elapsed: 0.017 s
% 0.18/0.50 % (26716)Instructions burned: 26 (million)
% 0.18/0.50 % (26716)------------------------------
% 0.18/0.50 % (26716)------------------------------
% 0.18/0.50 % (26701)Success in time 0.176 s
%------------------------------------------------------------------------------