TSTP Solution File: GRP039-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP039-2 : 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 : n001.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 16:19:12 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of formulae : 74 ( 34 unt; 0 def)
% Number of atoms : 135 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 41 ~; 54 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f380,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f89,f230,f250,f346,f347,f353,f358,f365]) ).
fof(f365,plain,
( spl3_6
| ~ spl3_2
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f288,f228,f27,f63]) ).
fof(f63,plain,
( spl3_6
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f27,plain,
( spl3_2
<=> subgroup_member(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f228,plain,
( spl3_8
<=> ! [X3] :
( subgroup_member(multiply(c,X3))
| ~ subgroup_member(multiply(sF1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f288,plain,
( ~ subgroup_member(sF1)
| subgroup_member(c)
| ~ spl3_8 ),
inference(superposition,[],[f284,f173]) ).
fof(f173,plain,
sF1 = multiply(inverse(b),c),
inference(forward_demodulation,[],[f162,f19]) ).
fof(f19,plain,
c = sF2,
inference(definition_folding,[],[f11,f18,f17]) ).
fof(f17,plain,
inverse(a) = sF1,
introduced(function_definition,[]) ).
fof(f18,plain,
sF2 = multiply(b,sF1),
introduced(function_definition,[]) ).
fof(f11,axiom,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f162,plain,
sF1 = multiply(inverse(b),sF2),
inference(superposition,[],[f85,f18]) ).
fof(f85,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
inference(forward_demodulation,[],[f71,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f71,plain,
! [X10,X11] : multiply(identity,X11) = multiply(inverse(X10),multiply(X10,X11)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f284,plain,
( ! [X1] :
( ~ subgroup_member(multiply(inverse(b),X1))
| subgroup_member(X1) )
| ~ spl3_8 ),
inference(superposition,[],[f274,f83]) ).
fof(f83,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),X3)) = X3,
inference(forward_demodulation,[],[f68,f1]) ).
fof(f68,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f7]) ).
fof(f7,axiom,
! [X0] : identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f274,plain,
( ! [X0] :
( subgroup_member(multiply(b,X0))
| ~ subgroup_member(X0) )
| ~ spl3_8 ),
inference(forward_demodulation,[],[f267,f218]) ).
fof(f218,plain,
! [X0] : multiply(c,multiply(a,X0)) = multiply(b,X0),
inference(superposition,[],[f81,f84]) ).
fof(f84,plain,
! [X15] : multiply(sF1,multiply(a,X15)) = X15,
inference(forward_demodulation,[],[f75,f1]) ).
fof(f75,plain,
! [X15] : multiply(identity,X15) = multiply(sF1,multiply(a,X15)),
inference(superposition,[],[f3,f31]) ).
fof(f31,plain,
identity = multiply(sF1,a),
inference(superposition,[],[f2,f17]) ).
fof(f81,plain,
! [X12] : multiply(b,multiply(sF1,X12)) = multiply(c,X12),
inference(forward_demodulation,[],[f72,f19]) ).
fof(f72,plain,
! [X12] : multiply(sF2,X12) = multiply(b,multiply(sF1,X12)),
inference(superposition,[],[f3,f18]) ).
fof(f267,plain,
( ! [X0] :
( subgroup_member(multiply(c,multiply(a,X0)))
| ~ subgroup_member(X0) )
| ~ spl3_8 ),
inference(superposition,[],[f229,f84]) ).
fof(f229,plain,
( ! [X3] :
( ~ subgroup_member(multiply(sF1,X3))
| subgroup_member(multiply(c,X3)) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f358,plain,
( spl3_12
| ~ spl3_6
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f45,f23,f63,f343]) ).
fof(f343,plain,
( spl3_12
<=> subgroup_member(d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f23,plain,
( spl3_1
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f45,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c)
| subgroup_member(d) ),
inference(superposition,[],[f14,f20]) ).
fof(f20,plain,
multiply(a,c) = d,
inference(forward_demodulation,[],[f15,f16]) ).
fof(f16,plain,
d = sF0,
inference(definition_folding,[],[f12,f15]) ).
fof(f12,axiom,
multiply(a,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f15,plain,
multiply(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f14,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ subgroup_member(X0)
| multiply(X0,X1) != X2
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiply) ).
fof(f353,plain,
~ spl3_12,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl3_12 ),
inference(resolution,[],[f345,f13]) ).
fof(f13,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_in_O2) ).
fof(f345,plain,
( subgroup_member(d)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f347,plain,
( ~ spl3_6
| spl3_9 ),
inference(avatar_split_clause,[],[f251,f247,f63]) ).
fof(f247,plain,
( spl3_9
<=> subgroup_member(inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f251,plain,
( ~ subgroup_member(c)
| spl3_9 ),
inference(resolution,[],[f249,f4]) ).
fof(f4,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f249,plain,
( ~ subgroup_member(inverse(c))
| spl3_9 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f346,plain,
( spl3_12
| spl3_1
| spl3_6
| spl3_1 ),
inference(avatar_split_clause,[],[f341,f23,f63,f23,f343]) ).
fof(f341,plain,
( subgroup_member(c)
| subgroup_member(a)
| subgroup_member(d)
| spl3_1 ),
inference(superposition,[],[f8,f336]) ).
fof(f336,plain,
( c = element_in_O2(a,d)
| spl3_1 ),
inference(forward_demodulation,[],[f332,f107]) ).
fof(f107,plain,
c = multiply(sF1,d),
inference(superposition,[],[f84,f20]) ).
fof(f332,plain,
( element_in_O2(a,d) = multiply(sF1,d)
| spl3_1 ),
inference(superposition,[],[f84,f326]) ).
fof(f326,plain,
( d = multiply(a,element_in_O2(a,d))
| spl3_1 ),
inference(resolution,[],[f90,f25]) ).
fof(f25,plain,
( ~ subgroup_member(a)
| spl3_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f90,plain,
! [X0] :
( subgroup_member(X0)
| d = multiply(X0,element_in_O2(X0,d)) ),
inference(resolution,[],[f9,f13]) ).
fof(f9,axiom,
! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
fof(f8,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f250,plain,
( ~ spl3_9
| ~ spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f244,f23,f59,f247]) ).
fof(f59,plain,
( spl3_5
<=> subgroup_member(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f244,plain,
( subgroup_member(a)
| ~ subgroup_member(b)
| ~ subgroup_member(inverse(c)) ),
inference(superposition,[],[f14,f238]) ).
fof(f238,plain,
a = multiply(inverse(c),b),
inference(superposition,[],[f85,f231]) ).
fof(f231,plain,
b = multiply(c,a),
inference(forward_demodulation,[],[f217,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f217,plain,
multiply(c,a) = multiply(b,identity),
inference(superposition,[],[f81,f31]) ).
fof(f230,plain,
( ~ spl3_5
| spl3_8 ),
inference(avatar_split_clause,[],[f225,f228,f59]) ).
fof(f225,plain,
! [X3] :
( subgroup_member(multiply(c,X3))
| ~ subgroup_member(multiply(sF1,X3))
| ~ subgroup_member(b) ),
inference(superposition,[],[f14,f81]) ).
fof(f89,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| spl3_5 ),
inference(resolution,[],[f61,f10]) ).
fof(f10,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_in_O2) ).
fof(f61,plain,
( ~ subgroup_member(b)
| spl3_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f30,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f21,f27,f23]) ).
fof(f21,plain,
( subgroup_member(sF1)
| ~ subgroup_member(a) ),
inference(superposition,[],[f4,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:31:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (25951)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)
% 0.18/0.49 % (25943)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)
% 0.18/0.49 % (25953)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)
% 0.18/0.49 % (25952)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49 % (25966)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)
% 0.18/0.49 % (25958)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)
% 0.18/0.49 % (25953)First to succeed.
% 0.18/0.49 % (25946)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (25948)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)
% 0.18/0.50 % (25949)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 % (25968)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.50 % (25967)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50 % (25947)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)
% 0.18/0.51 % (25959)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)
% 0.18/0.51 % (25944)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)
% 0.18/0.51 % (25949)Instruction limit reached!
% 0.18/0.51 % (25949)------------------------------
% 0.18/0.51 % (25949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (25953)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (25953)------------------------------
% 0.18/0.51 % (25953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (25953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (25953)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (25953)Memory used [KB]: 5628
% 0.18/0.51 % (25953)Time elapsed: 0.103 s
% 0.18/0.51 % (25953)Instructions burned: 10 (million)
% 0.18/0.51 % (25953)------------------------------
% 0.18/0.51 % (25953)------------------------------
% 0.18/0.51 % (25939)Success in time 0.17 s
%------------------------------------------------------------------------------