TSTP Solution File: GRP012-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP012-2 : 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 : 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 16:18:55 EDT 2022
% Result : Unsatisfiable 1.44s 0.56s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 20 unt; 0 def)
% Number of atoms : 52 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f332,plain,
$false,
inference(subsumption_resolution,[],[f331,f13]) ).
fof(f13,plain,
d != sF0,
inference(definition_folding,[],[f11,f12]) ).
fof(f12,plain,
inverse(c) = sF0,
introduced(function_definition,[]) ).
fof(f11,axiom,
d != inverse(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_inverse_equals_d) ).
fof(f331,plain,
d = sF0,
inference(forward_demodulation,[],[f327,f38]) ).
fof(f38,plain,
! [X1] : multiply(X1,identity) = X1,
inference(resolution,[],[f16,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f16,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f327,plain,
sF0 = multiply(d,identity),
inference(resolution,[],[f295,f18]) ).
fof(f18,plain,
! [X6,X4,X5] :
( ~ product(X4,X5,X6)
| multiply(X4,X5) = X6 ),
inference(resolution,[],[f6,f5]) ).
fof(f295,plain,
product(d,identity,sF0),
inference(resolution,[],[f294,f114]) ).
fof(f114,plain,
! [X13] :
( ~ product(X13,c,identity)
| product(X13,identity,sF0) ),
inference(resolution,[],[f31,f15]) ).
fof(f15,plain,
product(c,sF0,identity),
inference(superposition,[],[f4,f12]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f31,plain,
! [X16,X14,X15,X13] :
( ~ product(X16,X15,X14)
| product(X13,X14,X15)
| ~ product(X13,X16,identity) ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| product(X0,X5,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f294,plain,
product(d,c,identity),
inference(forward_demodulation,[],[f293,f26]) ).
fof(f26,plain,
c = multiply(a,b),
inference(resolution,[],[f22,f5]) ).
fof(f22,plain,
! [X12] :
( ~ product(a,b,X12)
| c = X12 ),
inference(resolution,[],[f6,f9]) ).
fof(f9,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_multiply_b_is_c) ).
fof(f293,plain,
product(d,multiply(a,b),identity),
inference(resolution,[],[f282,f5]) ).
fof(f282,plain,
! [X0] :
( ~ product(a,b,X0)
| product(d,X0,identity) ),
inference(resolution,[],[f278,f32]) ).
fof(f32,plain,
! [X18,X19,X17,X20] :
( ~ product(X17,X19,inverse(X20))
| product(X17,X18,identity)
| ~ product(X19,X20,X18) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f278,plain,
product(d,a,inverse(b)),
inference(resolution,[],[f160,f2]) ).
fof(f160,plain,
! [X7] :
( ~ product(inverse(b),identity,X7)
| product(d,a,X7) ),
inference(resolution,[],[f45,f10]) ).
fof(f10,axiom,
product(inverse(b),inverse(a),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_b_multiply_inverse_a_is_d) ).
fof(f45,plain,
! [X18,X19,X17,X20] :
( ~ product(X17,inverse(X20),X19)
| ~ product(X17,identity,X18)
| product(X19,X20,X18) ),
inference(resolution,[],[f8,f3]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X0,X5,X3)
| product(X4,X2,X3)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:52:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (4677)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (4675)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (4675)Instruction limit reached!
% 0.20/0.51 % (4675)------------------------------
% 0.20/0.51 % (4675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (4669)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)
% 0.20/0.52 % (4667)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)
% 0.20/0.52 % (4675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4675)Termination reason: Unknown
% 0.20/0.52 % (4675)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (4675)Memory used [KB]: 5373
% 0.20/0.52 % (4675)Time elapsed: 0.104 s
% 0.20/0.52 % (4675)Instructions burned: 2 (million)
% 0.20/0.52 % (4675)------------------------------
% 0.20/0.52 % (4675)------------------------------
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (4673)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)
% 0.20/0.52 % (4671)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (4674)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (4691)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (4670)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)
% 0.20/0.53 % (4685)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (4687)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)
% 0.20/0.53 % (4672)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (4676)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)
% 0.20/0.53 % (4686)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (4694)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)
% 0.20/0.53 TRYING [4]
% 0.20/0.54 % (4696)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)
% 0.20/0.54 % (4680)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (4678)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)
% 0.20/0.54 % (4684)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (4668)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)
% 0.20/0.54 % (4689)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)
% 0.20/0.54 % (4688)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (4695)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (4668)Refutation not found, incomplete strategy% (4668)------------------------------
% 0.20/0.54 % (4668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4668)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (4668)Memory used [KB]: 5373
% 0.20/0.54 % (4668)Time elapsed: 0.135 s
% 0.20/0.54 % (4668)Instructions burned: 4 (million)
% 0.20/0.54 % (4668)------------------------------
% 0.20/0.54 % (4668)------------------------------
% 0.20/0.54 % (4682)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)
% 0.20/0.55 % (4692)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (4679)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (4681)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)
% 1.44/0.55 TRYING [5]
% 1.44/0.55 % (4693)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)
% 1.44/0.56 % (4683)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)
% 1.44/0.56 TRYING [3]
% 1.44/0.56 % (4685)First to succeed.
% 1.44/0.56 TRYING [4]
% 1.44/0.56 % (4690)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)
% 1.44/0.56 TRYING [5]
% 1.44/0.56 % (4674)Instruction limit reached!
% 1.44/0.56 % (4674)------------------------------
% 1.44/0.56 % (4674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (4685)Refutation found. Thanks to Tanya!
% 1.44/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.56 % (4685)------------------------------
% 1.44/0.56 % (4685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (4685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (4685)Termination reason: Refutation
% 1.44/0.56
% 1.44/0.56 % (4685)Memory used [KB]: 5628
% 1.44/0.56 % (4685)Time elapsed: 0.147 s
% 1.44/0.56 % (4685)Instructions burned: 17 (million)
% 1.44/0.56 % (4685)------------------------------
% 1.44/0.56 % (4685)------------------------------
% 1.44/0.56 % (4665)Success in time 0.209 s
%------------------------------------------------------------------------------