TSTP Solution File: GRP657+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP657+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n006.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 16:23:26 EDT 2022
% Result : Theorem 2.34s 0.69s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 22 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 6 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 62 ( 57 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f327,plain,
$false,
inference(subsumption_resolution,[],[f322,f226]) ).
fof(f226,plain,
! [X12,X13] : mult(ld(X12,X12),X13) = X13,
inference(forward_demodulation,[],[f211,f20]) ).
fof(f20,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f211,plain,
! [X12,X13] : rd(mult(X13,X12),X12) = mult(ld(X12,X12),X13),
inference(superposition,[],[f20,f189]) ).
fof(f189,plain,
! [X0,X1] : mult(X1,X0) = mult(mult(ld(X0,X0),X1),X0),
inference(superposition,[],[f45,f18]) ).
fof(f18,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f45,plain,
! [X11,X12,X13] : ld(X11,mult(X12,mult(X13,X11))) = mult(mult(ld(X11,X12),X13),X11),
inference(superposition,[],[f18,f30]) ).
fof(f30,plain,
! [X2,X0,X1] : mult(X0,mult(mult(ld(X0,X1),X2),X0)) = mult(X1,mult(X2,X0)),
inference(superposition,[],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f21,plain,
! [X2,X0,X1] : mult(mult(X1,X2),mult(X0,X1)) = mult(X1,mult(mult(X2,X0),X1)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] : mult(mult(X1,X2),mult(X0,X1)) = mult(X1,mult(mult(X2,X0),X1)),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X1,X2,X0] : mult(mult(X2,X0),mult(X1,X2)) = mult(X2,mult(mult(X0,X1),X2)),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] : mult(mult(X1,X0),mult(X2,X1)) = mult(X1,mult(mult(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f322,plain,
! [X60] : sK0(ld(X60,X60)) != mult(ld(X60,X60),sK0(ld(X60,X60))),
inference(trivial_inequality_removal,[],[f321]) ).
fof(f321,plain,
! [X60] :
( sK0(ld(X60,X60)) != sK0(ld(X60,X60))
| sK0(ld(X60,X60)) != mult(ld(X60,X60),sK0(ld(X60,X60))) ),
inference(superposition,[],[f19,f259]) ).
fof(f259,plain,
! [X24,X22] : mult(X24,ld(X22,X22)) = X24,
inference(forward_demodulation,[],[f245,f20]) ).
fof(f245,plain,
! [X24,X22,X23] : rd(mult(X24,mult(X23,X24)),mult(X23,X24)) = mult(X24,ld(X22,X22)),
inference(superposition,[],[f36,f226]) ).
fof(f36,plain,
! [X2,X0,X1] : rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)) = mult(X0,X1),
inference(superposition,[],[f20,f21]) ).
fof(f19,plain,
! [X0] :
( mult(sK0(X0),X0) != sK0(X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( mult(sK0(X0),X0) != sK0(X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( mult(X1,X0) != X1
| mult(X0,X1) != X1 )
=> ( mult(sK0(X0),X0) != sK0(X0)
| sK0(X0) != mult(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X0] :
? [X1] :
( mult(X1,X0) != X1
| mult(X0,X1) != X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ? [X3] :
! [X4] :
( mult(X4,X3) = X4
& mult(X3,X4) = X4 ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
? [X3] :
! [X4] :
( mult(X4,X3) = X4
& mult(X3,X4) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP657+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:41:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.56 % (4405)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)
% 0.19/0.57 % (4406)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (4422)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)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.58 TRYING [3]
% 0.19/0.58 % (4413)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)
% 0.19/0.58 % (4406)Instruction limit reached!
% 0.19/0.58 % (4406)------------------------------
% 0.19/0.58 % (4406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 TRYING [4]
% 1.75/0.58 % (4414)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)
% 1.75/0.59 % (4421)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)
% 1.75/0.59 % (4406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (4406)Termination reason: Unknown
% 1.75/0.59 % (4406)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (4406)Memory used [KB]: 5500
% 1.75/0.59 % (4406)Time elapsed: 0.152 s
% 1.75/0.59 % (4406)Instructions burned: 8 (million)
% 1.75/0.59 % (4406)------------------------------
% 1.75/0.59 % (4406)------------------------------
% 2.03/0.62 TRYING [5]
% 2.03/0.63 % (4399)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)
% 2.03/0.63 % (4416)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.03/0.63 TRYING [1]
% 2.03/0.63 TRYING [2]
% 2.03/0.63 % (4403)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.03/0.63 TRYING [3]
% 2.03/0.63 % (4409)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.03/0.63 % (4404)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)
% 2.03/0.63 % (4408)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)
% 2.03/0.63 % (4419)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)
% 2.03/0.64 % (4407)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.03/0.64 % (4425)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)
% 2.03/0.64 % (4420)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.03/0.64 % (4424)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.03/0.64 % (4423)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.03/0.64 % (4405)Instruction limit reached!
% 2.03/0.64 % (4405)------------------------------
% 2.03/0.64 % (4405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64 % (4411)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.03/0.64 % (4401)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)
% 2.03/0.64 % (4412)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.03/0.64 % (4415)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)
% 2.03/0.64 % (4405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64 % (4405)Termination reason: Unknown
% 2.03/0.64 % (4405)Termination phase: Finite model building constraint generation
% 2.03/0.64
% 2.03/0.64 % (4405)Memory used [KB]: 7291
% 2.03/0.64 % (4405)Time elapsed: 0.215 s
% 2.03/0.64 % (4405)Instructions burned: 51 (million)
% 2.03/0.64 % (4405)------------------------------
% 2.03/0.64 % (4405)------------------------------
% 2.03/0.65 % (4427)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.03/0.65 TRYING [1]
% 2.03/0.65 TRYING [2]
% 2.03/0.65 TRYING [3]
% 2.03/0.65 % (4417)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.03/0.65 % (4428)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)
% 2.34/0.65 TRYING [4]
% 2.34/0.65 TRYING [4]
% 2.34/0.66 % (4410)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)
% 2.34/0.66 % (4407)Instruction limit reached!
% 2.34/0.66 % (4407)------------------------------
% 2.34/0.66 % (4407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.66 % (4407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.66 % (4407)Termination reason: Unknown
% 2.34/0.66 % (4407)Termination phase: Saturation
% 2.34/0.66
% 2.34/0.66 % (4407)Memory used [KB]: 895
% 2.34/0.66 % (4407)Time elapsed: 0.003 s
% 2.34/0.66 % (4407)Instructions burned: 2 (million)
% 2.34/0.66 % (4407)------------------------------
% 2.34/0.66 % (4407)------------------------------
% 2.34/0.66 % (4402)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)
% 2.34/0.67 % (4426)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)
% 2.34/0.67 % (4400)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)
% 2.34/0.67 % (4415)First to succeed.
% 2.34/0.68 % (4418)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)
% 2.34/0.69 % (4415)Refutation found. Thanks to Tanya!
% 2.34/0.69 % SZS status Theorem for theBenchmark
% 2.34/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.69 % (4415)------------------------------
% 2.34/0.69 % (4415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (4415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (4415)Termination reason: Refutation
% 2.34/0.70
% 2.34/0.70 % (4415)Memory used [KB]: 5756
% 2.34/0.70 % (4415)Time elapsed: 0.256 s
% 2.34/0.70 % (4415)Instructions burned: 19 (million)
% 2.34/0.70 % (4415)------------------------------
% 2.34/0.70 % (4415)------------------------------
% 2.34/0.70 % (4398)Success in time 0.341 s
%------------------------------------------------------------------------------