TSTP Solution File: SWV674-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV674-1 : 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 : n009.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 18:53:47 EDT 2022
% Result : Unsatisfiable 0.14s 0.56s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 49 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 27 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f891,plain,
$false,
inference(avatar_sat_refutation,[],[f886,f890]) ).
fof(f890,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f888,f613]) ).
fof(f613,axiom,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f888,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f887,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != v_a
| ~ spl0_2 ),
inference(backward_demodulation,[],[f571,f716]) ).
fof(f716,plain,
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f714,plain,
( spl0_2
<=> v_a = c_HOL_Ozero__class_Ozero(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f571,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(f886,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f885,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f884,f715]) ).
fof(f715,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f884,plain,
v_a = c_HOL_Ozero__class_Ozero(t_a),
inference(subsumption_resolution,[],[f883,f693]) ).
fof(f693,plain,
class_Ring__and__Field_Odivision__ring(t_a),
inference(resolution,[],[f613,f622]) ).
fof(f622,axiom,
! [X28] :
( ~ class_Ring__and__Field_Ofield(X28)
| class_Ring__and__Field_Odivision__ring(X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring) ).
fof(f883,plain,
( ~ class_Ring__and__Field_Odivision__ring(t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(trivial_inequality_removal,[],[f882]) ).
fof(f882,plain,
( ~ class_Ring__and__Field_Odivision__ring(t_a)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(superposition,[],[f881,f536]) ).
fof(f536,axiom,
! [X0,X1,X9] :
( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X9,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X9,X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Odivision__ring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__power__inverse_0) ).
fof(f881,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(subsumption_resolution,[],[f878,f613]) ).
fof(f878,plain,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(superposition,[],[f706,f366]) ).
fof(f366,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
fof(f706,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(subsumption_resolution,[],[f703,f702]) ).
fof(f702,plain,
class_Power_Opower(t_a),
inference(resolution,[],[f613,f631]) ).
fof(f631,axiom,
! [X28] :
( ~ class_Ring__and__Field_Ofield(X28)
| class_Power_Opower(X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Power_Opower) ).
fof(f703,plain,
( ~ class_Power_Opower(t_a)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) ),
inference(superposition,[],[f686,f347]) ).
fof(f347,axiom,
! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0)
| ~ class_Power_Opower(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0_0) ).
fof(f686,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
inference(forward_demodulation,[],[f615,f580]) ).
fof(f580,axiom,
! [X19] : c_HOL_Ominus__class_Ominus(X19,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).
fof(f615,axiom,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV674-1 : TPTP v8.1.0. Released v4.1.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 19:47:35 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.49 % (25357)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)
% 0.14/0.49 % (25361)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)
% 0.14/0.49 % (25377)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.14/0.49 % (25373)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)
% 0.14/0.49 % (25358)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)
% 0.14/0.50 % (25358)Instruction limit reached!
% 0.14/0.50 % (25358)------------------------------
% 0.14/0.50 % (25358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (25374)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)
% 0.14/0.50 % (25364)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)
% 0.14/0.50 % (25365)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)
% 0.14/0.51 % (25369)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.51 % (25366)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)
% 0.14/0.51 % (25358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (25358)Termination reason: Unknown
% 0.14/0.51 % (25358)Termination phase: Property scanning
% 0.14/0.51
% 0.14/0.51 % (25358)Memory used [KB]: 2046
% 0.14/0.51 % (25358)Time elapsed: 0.005 s
% 0.14/0.51 % (25358)Instructions burned: 4 (million)
% 0.14/0.51 % (25358)------------------------------
% 0.14/0.51 % (25358)------------------------------
% 0.14/0.51 % (25365)Instruction limit reached!
% 0.14/0.51 % (25365)------------------------------
% 0.14/0.51 % (25365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (25372)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)
% 0.14/0.51 % (25356)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)
% 0.14/0.51 % (25366)Instruction limit reached!
% 0.14/0.51 % (25366)------------------------------
% 0.14/0.51 % (25366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (25366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (25366)Termination reason: Unknown
% 0.14/0.51 % (25366)Termination phase: shuffling
% 0.14/0.51
% 0.14/0.51 % (25366)Memory used [KB]: 1918
% 0.14/0.51 % (25366)Time elapsed: 0.004 s
% 0.14/0.51 % (25366)Instructions burned: 2 (million)
% 0.14/0.51 % (25366)------------------------------
% 0.14/0.51 % (25366)------------------------------
% 0.14/0.51 % (25369)Instruction limit reached!
% 0.14/0.51 % (25369)------------------------------
% 0.14/0.51 % (25369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (25354)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)
% 0.14/0.52 % (25361)Instruction limit reached!
% 0.14/0.52 % (25361)------------------------------
% 0.14/0.52 % (25361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (25369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (25369)Termination reason: Unknown
% 0.14/0.52 % (25369)Termination phase: Saturation
% 0.14/0.52
% 0.14/0.52 % (25369)Memory used [KB]: 2174
% 0.14/0.52 % (25369)Time elapsed: 0.008 s
% 0.14/0.52 % (25369)Instructions burned: 8 (million)
% 0.14/0.52 % (25369)------------------------------
% 0.14/0.52 % (25369)------------------------------
% 0.14/0.52 % (25361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (25361)Termination reason: Unknown
% 0.14/0.52 % (25361)Termination phase: Saturation
% 0.14/0.52
% 0.14/0.52 % (25361)Memory used [KB]: 6652
% 0.14/0.52 % (25361)Time elapsed: 0.110 s
% 0.14/0.52 % (25361)Instructions burned: 23 (million)
% 0.14/0.52 % (25361)------------------------------
% 0.14/0.52 % (25361)------------------------------
% 0.14/0.53 % (25365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (25365)Termination reason: Unknown
% 0.14/0.53 % (25365)Termination phase: Finite model building preprocessing
% 0.14/0.53
% 0.14/0.53 % (25365)Memory used [KB]: 2174
% 0.14/0.53 % (25365)Time elapsed: 0.006 s
% 0.14/0.53 % (25365)Instructions burned: 7 (million)
% 0.14/0.53 % (25365)------------------------------
% 0.14/0.53 % (25365)------------------------------
% 0.14/0.54 % (25371)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)
% 0.14/0.54 % (25355)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.55 % (25362)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)
% 0.14/0.55 % (25362)Instruction limit reached!
% 0.14/0.55 % (25362)------------------------------
% 0.14/0.55 % (25362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (25362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55 % (25362)Termination reason: Unknown
% 0.14/0.55 % (25362)Termination phase: Saturation
% 0.14/0.55
% 0.14/0.55 % (25362)Memory used [KB]: 6524
% 0.14/0.55 % (25362)Time elapsed: 0.006 s
% 0.14/0.55 % (25362)Instructions burned: 5 (million)
% 0.14/0.55 % (25362)------------------------------
% 0.14/0.55 % (25362)------------------------------
% 0.14/0.55 % (25370)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.55 % (25363)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)
% 0.14/0.55 % (25370)Instruction limit reached!
% 0.14/0.55 % (25370)------------------------------
% 0.14/0.55 % (25370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (25370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55 % (25370)Termination reason: Unknown
% 0.14/0.55 % (25370)Termination phase: Property scanning
% 0.14/0.55
% 0.14/0.55 % (25370)Memory used [KB]: 2046
% 0.14/0.55 % (25370)Time elapsed: 0.006 s
% 0.14/0.55 % (25370)Instructions burned: 6 (million)
% 0.14/0.55 % (25364)Instruction limit reached!
% 0.14/0.55 % (25364)------------------------------
% 0.14/0.55 % (25364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (25370)------------------------------
% 0.14/0.55 % (25370)------------------------------
% 0.14/0.55 % (25364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55 % (25364)Termination reason: Unknown
% 0.14/0.55 % (25364)Termination phase: Saturation
% 0.14/0.55
% 0.14/0.55 % (25364)Memory used [KB]: 2302
% 0.14/0.55 % (25364)Time elapsed: 0.162 s
% 0.14/0.55 % (25364)Instructions burned: 30 (million)
% 0.14/0.55 % (25364)------------------------------
% 0.14/0.55 % (25364)------------------------------
% 0.14/0.56 % (25357)First to succeed.
% 0.14/0.56 % (25378)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.14/0.56 % (25379)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.56 % (25357)Refutation found. Thanks to Tanya!
% 0.14/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.56 % (25357)------------------------------
% 0.14/0.56 % (25357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (25357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (25357)Termination reason: Refutation
% 0.14/0.56
% 0.14/0.56 % (25357)Memory used [KB]: 7164
% 0.14/0.56 % (25357)Time elapsed: 0.160 s
% 0.14/0.56 % (25357)Instructions burned: 35 (million)
% 0.14/0.56 % (25357)------------------------------
% 0.14/0.56 % (25357)------------------------------
% 0.14/0.56 % (25349)Success in time 0.244 s
%------------------------------------------------------------------------------