TSTP Solution File: GRP039-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP039-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n007.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 16:19:13 EDT 2022
% Result : Unsatisfiable 1.60s 0.56s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 29 unt; 3 typ; 0 def)
% Number of atoms : 115 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 104 ( 49 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_5,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_6,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f589,plain,
$false,
inference(subsumption_resolution,[],[f588,f288]) ).
fof(f288,plain,
~ subgroup_member(inverse(a)),
inference(subsumption_resolution,[],[f286,f72]) ).
fof(f72,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ),
inference(superposition,[],[f35,f23]) ).
fof(f23,plain,
! [X6] : inverse(inverse(X6)) = X6,
inference(literal_reordering,[],[f12]) ).
fof(f12,axiom,
! [X6] : inverse(inverse(X6)) = X6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_is_self_cancelling) ).
fof(f35,plain,
! [X6] :
( subgroup_member(inverse(X6))
| ~ subgroup_member(X6) ),
inference(literal_reordering,[],[f14]) ).
fof(f14,axiom,
! [X6] :
( subgroup_member(inverse(X6))
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subgroup_member_inverse_are_in_subgroup) ).
fof(f286,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(inverse(a)) ),
inference(resolution,[],[f250,f249]) ).
fof(f249,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(subsumption_resolution,[],[f247,f34]) ).
fof(f34,plain,
~ subgroup_member(d),
inference(literal_reordering,[],[f20]) ).
fof(f20,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
fof(f247,plain,
( ~ subgroup_member(c)
| subgroup_member(d)
| ~ subgroup_member(a) ),
inference(resolution,[],[f82,f37]) ).
fof(f37,plain,
product(a,c,d),
inference(literal_reordering,[],[f19]) ).
fof(f19,axiom,
product(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f82,plain,
! [X10,X11,X12] :
( ~ product(X10,X12,X11)
| ~ subgroup_member(X12)
| subgroup_member(X11)
| ~ subgroup_member(X10) ),
inference(forward_demodulation,[],[f79,f23]) ).
fof(f79,plain,
! [X10,X11,X12] :
( ~ product(X10,inverse(inverse(X12)),X11)
| subgroup_member(X11)
| ~ subgroup_member(X12)
| ~ subgroup_member(X10) ),
inference(resolution,[],[f21,f35]) ).
fof(f21,plain,
! [X8,X6,X7] :
( ~ subgroup_member(X7)
| ~ subgroup_member(X6)
| subgroup_member(X8)
| ~ product(X6,inverse(X7),X8) ),
inference(literal_reordering,[],[f9]) ).
fof(f9,axiom,
! [X8,X6,X7] :
( ~ product(X6,inverse(X7),X8)
| ~ subgroup_member(X6)
| subgroup_member(X8)
| ~ subgroup_member(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f250,plain,
( subgroup_member(c)
| ~ subgroup_member(inverse(a)) ),
inference(subsumption_resolution,[],[f246,f38]) ).
fof(f38,plain,
subgroup_member(b),
inference(literal_reordering,[],[f17]) ).
fof(f17,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f246,plain,
( subgroup_member(c)
| ~ subgroup_member(inverse(a))
| ~ subgroup_member(b) ),
inference(resolution,[],[f82,f32]) ).
fof(f32,plain,
product(b,inverse(a),c),
inference(literal_reordering,[],[f18]) ).
fof(f18,axiom,
product(b,inverse(a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f588,plain,
subgroup_member(inverse(a)),
inference(subsumption_resolution,[],[f587,f429]) ).
fof(f429,plain,
subgroup_member(c),
inference(subsumption_resolution,[],[f428,f305]) ).
fof(f305,plain,
~ subgroup_member(a),
inference(resolution,[],[f288,f35]) ).
fof(f428,plain,
( subgroup_member(a)
| subgroup_member(c) ),
inference(subsumption_resolution,[],[f427,f34]) ).
fof(f427,plain,
( subgroup_member(d)
| subgroup_member(a)
| subgroup_member(c) ),
inference(superposition,[],[f39,f409]) ).
fof(f409,plain,
c = element_in_O2(a,d),
inference(resolution,[],[f313,f90]) ).
fof(f90,plain,
! [X12] :
( ~ product(a,X12,d)
| c = X12 ),
inference(resolution,[],[f22,f37]) ).
fof(f22,plain,
! [X8,X6,X9,X7] :
( ~ product(X6,X7,X8)
| X7 = X9
| ~ product(X6,X9,X8) ),
inference(literal_reordering,[],[f10]) ).
fof(f10,axiom,
! [X8,X6,X9,X7] :
( X7 = X9
| ~ product(X6,X9,X8)
| ~ product(X6,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f313,plain,
product(a,element_in_O2(a,d),d),
inference(resolution,[],[f305,f73]) ).
fof(f73,plain,
! [X0] :
( subgroup_member(X0)
| product(X0,element_in_O2(X0,d),d) ),
inference(resolution,[],[f24,f34]) ).
fof(f24,plain,
! [X6,X7] :
( subgroup_member(X7)
| subgroup_member(X6)
| product(X6,element_in_O2(X6,X7),X7) ),
inference(literal_reordering,[],[f16]) ).
fof(f16,axiom,
! [X6,X7] :
( product(X6,element_in_O2(X6,X7),X7)
| subgroup_member(X7)
| subgroup_member(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
fof(f39,plain,
! [X6,X7] :
( subgroup_member(element_in_O2(X6,X7))
| subgroup_member(X6)
| subgroup_member(X7) ),
inference(literal_reordering,[],[f15]) ).
fof(f15,axiom,
! [X6,X7] :
( subgroup_member(X7)
| subgroup_member(X6)
| subgroup_member(element_in_O2(X6,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f587,plain,
( ~ subgroup_member(c)
| subgroup_member(inverse(a)) ),
inference(subsumption_resolution,[],[f583,f149]) ).
fof(f149,plain,
subgroup_member(inverse(b)),
inference(subsumption_resolution,[],[f147,f26]) ).
fof(f26,plain,
subgroup_member(identity),
inference(literal_reordering,[],[f13]) ).
fof(f13,axiom,
subgroup_member(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_in_subgroup) ).
fof(f147,plain,
( ~ subgroup_member(identity)
| subgroup_member(inverse(b)) ),
inference(resolution,[],[f81,f33]) ).
fof(f33,plain,
! [X0] : product(identity,X0,X0),
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f81,plain,
! [X18,X17] :
( ~ product(X17,inverse(b),X18)
| subgroup_member(X18)
| ~ subgroup_member(X17) ),
inference(resolution,[],[f21,f38]) ).
fof(f583,plain,
( ~ subgroup_member(inverse(b))
| subgroup_member(inverse(a))
| ~ subgroup_member(c) ),
inference(resolution,[],[f563,f82]) ).
fof(f563,plain,
product(inverse(b),c,inverse(a)),
inference(forward_demodulation,[],[f562,f158]) ).
fof(f158,plain,
! [X1] : multiply(identity,X1) = X1,
inference(resolution,[],[f87,f30]) ).
fof(f30,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(literal_reordering,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f87,plain,
! [X8,X7] :
( ~ product(identity,X8,X7)
| X7 = X8 ),
inference(resolution,[],[f22,f33]) ).
fof(f562,plain,
product(inverse(b),c,multiply(identity,inverse(a))),
inference(resolution,[],[f302,f25]) ).
fof(f25,plain,
! [X0] : product(inverse(X0),X0,identity),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f302,plain,
! [X16,X17] :
( ~ product(X16,b,X17)
| product(X16,c,multiply(X17,inverse(a))) ),
inference(resolution,[],[f109,f32]) ).
fof(f109,plain,
! [X10,X11,X8,X9,X12] :
( ~ product(X8,X9,X10)
| ~ product(X11,X8,X12)
| product(X11,X10,multiply(X12,X9)) ),
inference(resolution,[],[f36,f30]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| ~ product(X0,X1,X4)
| product(X0,X5,X3) ),
inference(literal_reordering,[],[f7]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP039-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:54:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (13659)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (13653)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (13652)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (13650)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (13655)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)
% 0.19/0.50 % (13663)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)
% 0.19/0.51 % (13672)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)
% 0.19/0.52 % (13677)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (13661)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (13651)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (13673)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)
% 0.19/0.53 % (13679)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (13664)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)
% 0.19/0.53 % (13658)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)
% 0.19/0.53 % (13671)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.53 % (13678)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.53 % (13670)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.32/0.54 % (13662)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.54 % (13665)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)
% 1.32/0.54 % (13656)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.54 % (13648)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)
% 1.32/0.54 % (13657)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.54 % (13657)Instruction limit reached!
% 1.32/0.54 % (13657)------------------------------
% 1.32/0.54 % (13657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54 % (13657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54 % (13657)Termination reason: Unknown
% 1.32/0.54 % (13657)Termination phase: Saturation
% 1.32/0.54
% 1.32/0.54 % (13657)Memory used [KB]: 5373
% 1.32/0.54 % (13657)Time elapsed: 0.003 s
% 1.32/0.54 % (13657)Instructions burned: 2 (million)
% 1.32/0.54 % (13657)------------------------------
% 1.32/0.54 % (13657)------------------------------
% 1.32/0.54 % (13676)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)
% 1.32/0.54 TRYING [1]
% 1.32/0.54 % (13674)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.32/0.54 TRYING [2]
% 1.32/0.54 % (13663)First to succeed.
% 1.32/0.54 TRYING [3]
% 1.32/0.55 % (13667)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.55 % (13675)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.55 % (13666)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.55 % (13649)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)
% 1.32/0.55 TRYING [4]
% 1.32/0.55 TRYING [1]
% 1.32/0.55 TRYING [2]
% 1.32/0.55 % (13649)Refutation not found, incomplete strategy% (13649)------------------------------
% 1.32/0.55 % (13649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.55 % (13649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.55 % (13649)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.55
% 1.32/0.55 % (13649)Memory used [KB]: 5500
% 1.32/0.55 % (13649)Time elapsed: 0.146 s
% 1.32/0.55 % (13649)Instructions burned: 4 (million)
% 1.32/0.55 % (13649)------------------------------
% 1.32/0.55 % (13649)------------------------------
% 1.32/0.55 TRYING [3]
% 1.32/0.55 % (13660)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.55 % (13669)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.56 TRYING [5]
% 1.60/0.56 % (13650)Instruction limit reached!
% 1.60/0.56 % (13650)------------------------------
% 1.60/0.56 % (13650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 TRYING [4]
% 1.60/0.56 % (13663)Refutation found. Thanks to Tanya!
% 1.60/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.60/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.56 % (13663)------------------------------
% 1.60/0.56 % (13663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (13663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (13663)Termination reason: Refutation
% 1.60/0.56
% 1.60/0.56 % (13663)Memory used [KB]: 6012
% 1.60/0.56 % (13663)Time elapsed: 0.023 s
% 1.60/0.56 % (13663)Instructions burned: 28 (million)
% 1.60/0.56 % (13663)------------------------------
% 1.60/0.56 % (13663)------------------------------
% 1.60/0.56 % (13645)Success in time 0.213 s
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