TSTP Solution File: GRP039-7 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP039-7 : TPTP v8.1.0. Bugfixed v1.0.1.
% 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 : n002.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 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 25 unt; 0 def)
% Number of atoms : 117 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 34 ~; 50 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f292,plain,
$false,
inference(avatar_sat_refutation,[],[f254,f259,f261,f264,f270,f277,f291]) ).
fof(f291,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| spl3_4 ),
inference(subsumption_resolution,[],[f286,f13]) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_in_O2) ).
fof(f286,plain,
( ~ subgroup_member(b)
| spl3_4 ),
inference(resolution,[],[f163,f4]) ).
fof(f4,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f163,plain,
( ~ subgroup_member(inverse(b))
| spl3_4 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl3_4
<=> subgroup_member(inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f277,plain,
( ~ spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f276,f27,f157]) ).
fof(f157,plain,
( spl3_3
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f27,plain,
( spl3_1
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f276,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c) ),
inference(subsumption_resolution,[],[f275,f16]) ).
fof(f16,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_in_O2) ).
fof(f275,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a)
| subgroup_member(d) ),
inference(forward_demodulation,[],[f64,f22]) ).
fof(f22,plain,
d = sF2,
inference(definition_folding,[],[f15,f21]) ).
fof(f21,plain,
multiply(a,c) = sF2,
introduced(function_definition,[]) ).
fof(f15,axiom,
multiply(a,c) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f64,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a)
| subgroup_member(sF2) ),
inference(superposition,[],[f17,f21]) ).
fof(f17,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ subgroup_member(X1)
| multiply(X0,X1) != X2
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiply) ).
fof(f270,plain,
( ~ spl3_4
| spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f153,f157,f31,f161]) ).
fof(f31,plain,
( spl3_2
<=> subgroup_member(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f153,plain,
( ~ subgroup_member(c)
| subgroup_member(sF0)
| ~ subgroup_member(inverse(b)) ),
inference(superposition,[],[f17,f131]) ).
fof(f131,plain,
multiply(inverse(b),c) = sF0,
inference(superposition,[],[f81,f23]) ).
fof(f23,plain,
c = multiply(b,sF0),
inference(forward_demodulation,[],[f19,f20]) ).
fof(f20,plain,
c = sF1,
inference(definition_folding,[],[f14,f19,f18]) ).
fof(f18,plain,
inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f14,axiom,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f19,plain,
sF1 = multiply(b,sF0),
introduced(function_definition,[]) ).
fof(f81,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/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f71,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = multiply(identity,X11),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f264,plain,
( ~ spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f263,f157,f31]) ).
fof(f263,plain,
( ~ subgroup_member(sF0)
| spl3_3 ),
inference(subsumption_resolution,[],[f262,f13]) ).
fof(f262,plain,
( ~ subgroup_member(sF0)
| ~ subgroup_member(b)
| spl3_3 ),
inference(subsumption_resolution,[],[f63,f159]) ).
fof(f159,plain,
( ~ subgroup_member(c)
| spl3_3 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f63,plain,
( ~ subgroup_member(b)
| ~ subgroup_member(sF0)
| subgroup_member(c) ),
inference(superposition,[],[f17,f23]) ).
fof(f261,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f45,f31,f27]) ).
fof(f45,plain,
( ~ subgroup_member(sF0)
| subgroup_member(a) ),
inference(superposition,[],[f37,f18]) ).
fof(f37,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ),
inference(superposition,[],[f4,f8]) ).
fof(f8,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_inverse) ).
fof(f259,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f46,f31,f27]) ).
fof(f46,plain,
( subgroup_member(sF0)
| ~ subgroup_member(a) ),
inference(superposition,[],[f37,f36]) ).
fof(f36,plain,
a = inverse(sF0),
inference(superposition,[],[f8,f18]) ).
fof(f254,plain,
( spl3_1
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| spl3_1
| spl3_3 ),
inference(subsumption_resolution,[],[f252,f29]) ).
fof(f29,plain,
( ~ subgroup_member(a)
| spl3_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f252,plain,
( subgroup_member(a)
| spl3_1
| spl3_3 ),
inference(subsumption_resolution,[],[f251,f159]) ).
fof(f251,plain,
( subgroup_member(c)
| subgroup_member(a)
| spl3_1 ),
inference(subsumption_resolution,[],[f250,f16]) ).
fof(f250,plain,
( subgroup_member(d)
| subgroup_member(a)
| subgroup_member(c)
| spl3_1 ),
inference(superposition,[],[f11,f245]) ).
fof(f245,plain,
( c = element_in_O2(a,d)
| spl3_1 ),
inference(forward_demodulation,[],[f241,f94]) ).
fof(f94,plain,
c = multiply(sF0,d),
inference(forward_demodulation,[],[f88,f22]) ).
fof(f88,plain,
c = multiply(sF0,sF2),
inference(superposition,[],[f86,f21]) ).
fof(f86,plain,
! [X15] : multiply(sF0,multiply(a,X15)) = X15,
inference(forward_demodulation,[],[f75,f1]) ).
fof(f75,plain,
! [X15] : multiply(identity,X15) = multiply(sF0,multiply(a,X15)),
inference(superposition,[],[f3,f49]) ).
fof(f49,plain,
identity = multiply(sF0,a),
inference(superposition,[],[f2,f18]) ).
fof(f241,plain,
( multiply(sF0,d) = element_in_O2(a,d)
| spl3_1 ),
inference(superposition,[],[f86,f237]) ).
fof(f237,plain,
( d = multiply(a,element_in_O2(a,d))
| spl3_1 ),
inference(resolution,[],[f99,f29]) ).
fof(f99,plain,
! [X3] :
( subgroup_member(X3)
| d = multiply(X3,element_in_O2(X3,d)) ),
inference(resolution,[],[f12,f16]) ).
fof(f12,axiom,
! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
fof(f11,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP039-7 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n002.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 : Mon Aug 29 22:22:13 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.46 % (24455)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)
% 0.15/0.47 % (24447)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)
% 0.15/0.47 % (24454)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.47 % (24464)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)
% 0.15/0.47 % (24456)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)
% 0.15/0.48 % (24463)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)
% 0.15/0.48 TRYING [1]
% 0.15/0.48 TRYING [2]
% 0.15/0.48 TRYING [3]
% 0.15/0.48 TRYING [4]
% 0.15/0.49 % (24448)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.49 % (24441)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)
% 0.15/0.49 % (24446)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)
% 0.15/0.49 % (24444)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)
% 0.15/0.49 TRYING [1]
% 0.15/0.49 % (24452)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)
% 0.15/0.49 % (24453)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.50 % (24457)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)
% 0.15/0.50 % (24442)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)
% 0.15/0.50 % (24451)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50 % (24454)First to succeed.
% 0.15/0.50 % (24448)Instruction limit reached!
% 0.15/0.50 % (24448)------------------------------
% 0.15/0.50 % (24448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (24448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (24448)Termination reason: Unknown
% 0.15/0.50 % (24448)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (24448)Memory used [KB]: 5500
% 0.15/0.50 % (24448)Time elapsed: 0.081 s
% 0.15/0.50 % (24448)Instructions burned: 7 (million)
% 0.15/0.50 % (24448)------------------------------
% 0.15/0.50 % (24448)------------------------------
% 0.15/0.50 % (24468)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)
% 0.15/0.50 % (24470)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)
% 0.15/0.51 TRYING [5]
% 0.15/0.51 % (24465)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.51 TRYING [2]
% 0.15/0.51 % (24460)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)
% 0.15/0.51 % (24462)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.51 TRYING [3]
% 0.15/0.51 % (24445)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51 TRYING [4]
% 0.15/0.51 % (24466)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.52 % (24443)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)
% 0.15/0.52 % (24446)Also succeeded, but the first one will report.
% 0.15/0.52 % (24454)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
% 0.15/0.52 % (24454)------------------------------
% 0.15/0.52 % (24454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (24454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (24454)Termination reason: Refutation
% 0.15/0.52
% 0.15/0.52 % (24454)Memory used [KB]: 5500
% 0.15/0.52 % (24454)Time elapsed: 0.145 s
% 0.15/0.52 % (24454)Instructions burned: 9 (million)
% 0.15/0.52 % (24454)------------------------------
% 0.15/0.52 % (24454)------------------------------
% 0.15/0.52 % (24440)Success in time 0.206 s
%------------------------------------------------------------------------------