TSTP Solution File: ANA030-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA030-2 : 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 : n024.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 15:44:40 EDT 2022
% Result : Unsatisfiable 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 27 unt; 0 def)
% Number of atoms : 65 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f719,plain,
$false,
inference(resolution,[],[f648,f2]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f648,plain,
! [X0] : c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b),
inference(backward_demodulation,[],[f98,f535]) ).
fof(f535,plain,
! [X2,X3] : c_plus(X3,X2,t_b) = c_plus(X2,X3,t_b),
inference(superposition,[],[f444,f24]) ).
fof(f24,plain,
! [X0,X1] : c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
inference(resolution,[],[f7,f18]) ).
fof(f18,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f15,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f15,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_OrderedGroup_Oab__group__add(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f7,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X3,c_uminus(X4,X1),X1) = c_plus(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
fof(f444,plain,
! [X0,X1] : c_minus(X1,c_uminus(X0,t_b),t_b) = c_plus(X0,X1,t_b),
inference(superposition,[],[f383,f20]) ).
fof(f20,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(resolution,[],[f18,f10]) ).
fof(f10,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_uminus(X2,X1),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__minus_0) ).
fof(f383,plain,
! [X2,X3] : c_plus(c_uminus(X2,t_b),X3,t_b) = c_minus(X3,X2,t_b),
inference(superposition,[],[f102,f233]) ).
fof(f233,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_uminus(c_plus(X1,c_uminus(X0,t_b),t_b),t_b),
inference(superposition,[],[f112,f110]) ).
fof(f110,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_uminus(c_plus(c_uminus(X0,t_b),X1,t_b),t_b),
inference(superposition,[],[f106,f20]) ).
fof(f106,plain,
! [X4,X5] : c_uminus(c_plus(X4,X5,t_b),t_b) = c_minus(c_uminus(X4,t_b),X5,t_b),
inference(superposition,[],[f33,f22]) ).
fof(f22,plain,
! [X0,X1] : c_plus(X0,c_uminus(X1,t_b),t_b) = c_minus(X0,X1,t_b),
inference(resolution,[],[f5,f18]) ).
fof(f5,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X3,c_uminus(X4,X1),X1) = c_minus(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__1_0) ).
fof(f33,plain,
! [X0,X1] : c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b) = c_uminus(c_plus(X0,X1,t_b),t_b),
inference(resolution,[],[f8,f18]) ).
fof(f8,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_plus(X3,X4,X1),X1) = c_plus(c_uminus(X3,X1),c_uminus(X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__add__distrib_0) ).
fof(f112,plain,
! [X2,X3] : c_uminus(c_plus(X3,X2,t_b),t_b) = c_uminus(c_plus(X2,X3,t_b),t_b),
inference(superposition,[],[f106,f38]) ).
fof(f38,plain,
! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_minus(c_uminus(X1,t_b),X0,t_b),
inference(superposition,[],[f25,f24]) ).
fof(f25,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_uminus(c_minus(X0,X1,t_b),t_b),
inference(resolution,[],[f9,f18]) ).
fof(f9,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X3,X4,X1),X1) = c_minus(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f102,plain,
! [X0,X1] : c_plus(c_uminus(X1,t_b),X0,t_b) = c_uminus(c_plus(X1,c_uminus(X0,t_b),t_b),t_b),
inference(superposition,[],[f33,f20]) ).
fof(f98,plain,
! [X0] : c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b),
inference(subsumption_resolution,[],[f97,f23]) ).
fof(f23,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f19,f13]) ).
fof(f13,axiom,
! [X9] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X9)
| class_OrderedGroup_Opordered__ab__group__add(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f19,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f16,f3]) ).
fof(f16,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_OrderedGroup_Olordered__ab__group__abs(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f97,plain,
! [X0] :
( c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[],[f58,f6]) ).
fof(f6,axiom,
! [X3,X1,X4,X5] :
( ~ c_lessequals(c_minus(X3,X4,X1),X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(X3,c_plus(X5,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_0) ).
fof(f58,plain,
! [X0] : c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(subsumption_resolution,[],[f57,f17]) ).
fof(f17,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f14,f3]) ).
fof(f14,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_Orderings_Olinorder(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f57,plain,
! [X0] :
( c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f56,f12]) ).
fof(f12,axiom,
! [X2,X8,X6,X7] :
( ~ c_lessequals(c_Orderings_Omax(X7,X2,X6),X8,X6)
| c_lessequals(X7,X8,X6)
| ~ class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
fof(f56,plain,
! [X0] : c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(backward_demodulation,[],[f1,f43]) ).
fof(f43,plain,
! [X0] : c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b) = c_Orderings_Omax(X0,c_0,t_b),
inference(subsumption_resolution,[],[f42,f19]) ).
fof(f42,plain,
! [X0] :
( c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b) = c_Orderings_Omax(X0,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(resolution,[],[f21,f17]) ).
fof(f21,plain,
! [X0,X1] :
( ~ class_Orderings_Olinorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_Orderings_Omax(X1,c_0,X0),X0) = c_Orderings_Omax(X1,c_0,X0) ),
inference(resolution,[],[f4,f11]) ).
fof(f11,axiom,
! [X2,X6,X7] :
( c_lessequals(X2,c_Orderings_Omax(X7,X2,X6),X6)
| ~ class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f4,axiom,
! [X2,X1] :
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 15:16:04 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.46 % (2802)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.46 % (2801)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 (2999ds/51Mi)
% 0.15/0.47 % (2802)Instruction limit reached!
% 0.15/0.47 % (2802)------------------------------
% 0.15/0.47 % (2802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (2809)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.47 % (2800)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 (2999ds/49Mi)
% 0.15/0.47 % (2801)Refutation not found, incomplete strategy% (2801)------------------------------
% 0.15/0.47 % (2801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (2801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (2801)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47
% 0.15/0.47 % (2801)Memory used [KB]: 5884
% 0.15/0.47 % (2801)Time elapsed: 0.104 s
% 0.15/0.47 % (2801)Instructions burned: 3 (million)
% 0.15/0.47 % (2801)------------------------------
% 0.15/0.47 % (2801)------------------------------
% 0.15/0.48 % (2818)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.48 % (2802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (2802)Termination reason: Unknown
% 0.15/0.48 % (2802)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (2802)Memory used [KB]: 5884
% 0.15/0.48 % (2802)Time elapsed: 0.103 s
% 0.15/0.48 % (2802)Instructions burned: 3 (million)
% 0.15/0.48 % (2802)------------------------------
% 0.15/0.48 % (2802)------------------------------
% 0.15/0.48 % (2817)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 (2999ds/37Mi)
% 0.15/0.48 % (2810)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.48 % (2810)Instruction limit reached!
% 0.15/0.48 % (2810)------------------------------
% 0.15/0.48 % (2810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (2810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (2810)Termination reason: Unknown
% 0.15/0.48 % (2810)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (2810)Memory used [KB]: 1279
% 0.15/0.48 % (2810)Time elapsed: 0.004 s
% 0.15/0.48 % (2810)Instructions burned: 2 (million)
% 0.15/0.48 % (2810)------------------------------
% 0.15/0.48 % (2810)------------------------------
% 0.15/0.49 % (2816)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 (2999ds/97Mi)
% 0.15/0.49 TRYING [1]
% 0.15/0.49 TRYING [2]
% 0.15/0.49 % (2809)Instruction limit reached!
% 0.15/0.49 % (2809)------------------------------
% 0.15/0.49 % (2809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (2809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (2809)Termination reason: Unknown
% 0.15/0.49 % (2809)Termination phase: Finite model building constraint generation
% 0.15/0.49
% 0.15/0.49 % (2809)Memory used [KB]: 6012
% 0.15/0.49 % (2809)Time elapsed: 0.125 s
% 0.15/0.49 % (2809)Instructions burned: 6 (million)
% 0.15/0.49 % (2809)------------------------------
% 0.15/0.49 % (2809)------------------------------
% 0.15/0.49 % (2808)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 (2999ds/29Mi)
% 0.15/0.51 % (2805)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.15/0.52 % (2806)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.52 % (2799)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.52 % (2818)First to succeed.
% 0.15/0.52 % (2797)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.15/0.52 % (2798)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.15/0.52 % (2818)Refutation found. Thanks to Tanya!
% 0.15/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.53 % (2818)------------------------------
% 0.15/0.53 % (2818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (2818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (2818)Termination reason: Refutation
% 0.15/0.53
% 0.15/0.53 % (2818)Memory used [KB]: 6396
% 0.15/0.53 % (2818)Time elapsed: 0.139 s
% 0.15/0.53 % (2818)Instructions burned: 29 (million)
% 0.15/0.53 % (2818)------------------------------
% 0.15/0.53 % (2818)------------------------------
% 0.15/0.53 % (2793)Success in time 0.205 s
%------------------------------------------------------------------------------