TSTP Solution File: SWV678-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV678-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n027.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 18:53:48 EDT 2022
% Result : Unsatisfiable 1.48s 0.58s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 45 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 23 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f747,plain,
$false,
inference(avatar_sat_refutation,[],[f699,f738,f746]) ).
fof(f746,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f745,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f741,f641]) ).
fof(f641,axiom,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f741,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f739]) ).
fof(f739,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != v_a
| ~ spl0_4 ),
inference(backward_demodulation,[],[f426,f730]) ).
fof(f730,plain,
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl0_4
<=> v_a = c_HOL_Ozero__class_Ozero(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f426,axiom,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nz_0) ).
fof(f738,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f737,f694,f728]) ).
fof(f694,plain,
( spl0_2
<=> c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) = c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f737,plain,
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| spl0_2 ),
inference(subsumption_resolution,[],[f736,f639]) ).
fof(f639,axiom,
c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f736,plain,
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ c_lessequals(v_n,v_m,tc_nat)
| spl0_2 ),
inference(subsumption_resolution,[],[f721,f641]) ).
fof(f721,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ c_lessequals(v_n,v_m,tc_nat)
| spl0_2 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(v_n,v_m,tc_nat)
| c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| spl0_2 ),
inference(superposition,[],[f696,f603]) ).
fof(f603,axiom,
! [X0,X1,X8,X7] :
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X7,X0),c_Power_Opower__class_Opower(X1,X8,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X7,X8,tc_nat),X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ofield(X0)
| ~ c_lessequals(X8,X7,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__diff_0) ).
fof(f696,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f699,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f698,f694]) ).
fof(f698,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a),
inference(subsumption_resolution,[],[f643,f639]) ).
fof(f643,axiom,
( ~ c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV678-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33 % Computer : n027.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 30 20:05:31 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.15/0.51 % (30097)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)
% 0.15/0.51 % (30106)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)
% 0.15/0.51 % (30096)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)
% 0.15/0.52 % (30098)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)
% 0.15/0.52 % (30106)Instruction limit reached!
% 0.15/0.52 % (30106)------------------------------
% 0.15/0.52 % (30106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (30105)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)
% 0.15/0.52 % (30114)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)
% 0.15/0.52 % (30106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (30106)Termination reason: Unknown
% 0.15/0.52 % (30106)Termination phase: shuffling
% 0.15/0.52
% 0.15/0.52 % (30106)Memory used [KB]: 1791
% 0.15/0.52 % (30106)Time elapsed: 0.004 s
% 0.15/0.52 % (30106)Instructions burned: 2 (million)
% 0.15/0.52 % (30106)------------------------------
% 0.15/0.52 % (30106)------------------------------
% 0.15/0.53 % (30104)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)
% 0.15/0.53 % (30112)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)
% 0.15/0.53 % (30113)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)
% 0.15/0.53 % (30098)Instruction limit reached!
% 0.15/0.53 % (30098)------------------------------
% 0.15/0.53 % (30098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (30098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (30098)Termination reason: Unknown
% 0.15/0.53 % (30098)Termination phase: shuffling
% 0.15/0.53
% 0.15/0.53 % (30098)Memory used [KB]: 1918
% 0.15/0.53 % (30098)Time elapsed: 0.005 s
% 0.15/0.53 % (30098)Instructions burned: 3 (million)
% 0.15/0.53 % (30098)------------------------------
% 0.15/0.53 % (30098)------------------------------
% 0.15/0.54 % (30105)Instruction limit reached!
% 0.15/0.54 % (30105)------------------------------
% 0.15/0.54 % (30105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (30092)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.54 % (30105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (30105)Termination reason: Unknown
% 0.15/0.54 % (30105)Termination phase: Finite model building preprocessing
% 0.15/0.54
% 0.15/0.54 % (30105)Memory used [KB]: 2174
% 0.15/0.54 % (30105)Time elapsed: 0.008 s
% 0.15/0.54 % (30105)Instructions burned: 7 (million)
% 0.15/0.54 % (30105)------------------------------
% 0.15/0.54 % (30105)------------------------------
% 0.15/0.55 % (30101)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)
% 1.48/0.56 % (30100)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.48/0.56 % (30094)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)
% 1.48/0.56 % (30095)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.48/0.56 % (30093)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)
% 1.48/0.57 % (30100)Instruction limit reached!
% 1.48/0.57 % (30100)------------------------------
% 1.48/0.57 % (30100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (30100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (30100)Termination reason: Unknown
% 1.48/0.57 % (30100)Termination phase: Property scanning
% 1.48/0.57
% 1.48/0.57 % (30100)Memory used [KB]: 1918
% 1.48/0.57 % (30100)Time elapsed: 0.006 s
% 1.48/0.57 % (30100)Instructions burned: 8 (million)
% 1.48/0.57 % (30100)------------------------------
% 1.48/0.57 % (30100)------------------------------
% 1.48/0.57 % (30092)Instruction limit reached!
% 1.48/0.57 % (30092)------------------------------
% 1.48/0.57 % (30092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (30092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (30092)Termination reason: Unknown
% 1.48/0.57 % (30092)Termination phase: General splitting
% 1.48/0.57
% 1.48/0.57 % (30092)Memory used [KB]: 1918
% 1.48/0.57 % (30092)Time elapsed: 0.005 s
% 1.48/0.57 % (30092)Instructions burned: 4 (million)
% 1.48/0.57 % (30092)------------------------------
% 1.48/0.57 % (30092)------------------------------
% 1.48/0.57 % (30104)Instruction limit reached!
% 1.48/0.57 % (30104)------------------------------
% 1.48/0.57 % (30104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (30097)First to succeed.
% 1.48/0.57 % (30103)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.48/0.57 % (30117)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.48/0.57 % (30103)Instruction limit reached!
% 1.48/0.57 % (30103)------------------------------
% 1.48/0.57 % (30103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (30103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (30103)Termination reason: Unknown
% 1.48/0.57 % (30103)Termination phase: SInE selection
% 1.48/0.57
% 1.48/0.57 % (30103)Memory used [KB]: 1791
% 1.48/0.57 % (30103)Time elapsed: 0.005 s
% 1.48/0.57 % (30103)Instructions burned: 3 (million)
% 1.48/0.57 % (30103)------------------------------
% 1.48/0.57 % (30103)------------------------------
% 1.48/0.57 % (30111)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.48/0.58 % (30102)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)
% 1.48/0.58 % (30111)Also succeeded, but the first one will report.
% 1.48/0.58 % (30097)Refutation found. Thanks to Tanya!
% 1.48/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.58 % (30097)------------------------------
% 1.48/0.58 % (30097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58 % (30097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.58 % (30097)Termination reason: Refutation
% 1.48/0.58
% 1.48/0.58 % (30097)Memory used [KB]: 7164
% 1.48/0.58 % (30097)Time elapsed: 0.150 s
% 1.48/0.58 % (30097)Instructions burned: 32 (million)
% 1.48/0.58 % (30097)------------------------------
% 1.48/0.58 % (30097)------------------------------
% 1.48/0.58 % (30089)Success in time 0.234 s
%------------------------------------------------------------------------------