TSTP Solution File: GRP700+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP700+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 : n004.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 16:23:42 EDT 2022
% Result : Theorem 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 44 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 4 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 61 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f460,plain,
$false,
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
unit != unit,
inference(superposition,[],[f450,f49]) ).
fof(f49,plain,
! [X3] : sF1(ld(sK0,X3)) = X3,
inference(superposition,[],[f23,f28]) ).
fof(f28,plain,
! [X1] : mult(sK0,X1) = sF1(X1),
introduced(function_definition,[]) ).
fof(f23,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f17]) ).
fof(f17,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/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f450,plain,
unit != sF1(ld(sK0,unit)),
inference(trivial_inequality_removal,[],[f447]) ).
fof(f447,plain,
( unit != unit
| unit != sF1(ld(sK0,unit)) ),
inference(superposition,[],[f30,f440]) ).
fof(f440,plain,
unit = sF2(ld(sK0,unit)),
inference(forward_demodulation,[],[f426,f37]) ).
fof(f37,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f22,f19]) ).
fof(f19,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f22,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f426,plain,
rd(sK0,sK0) = sF2(ld(sK0,unit)),
inference(superposition,[],[f39,f411]) ).
fof(f411,plain,
sF2(sF2(ld(sK0,unit))) = sK0,
inference(forward_demodulation,[],[f392,f67]) ).
fof(f67,plain,
! [X1] : ld(X1,sF2(X1)) = sK0,
inference(superposition,[],[f26,f29]) ).
fof(f29,plain,
! [X1] : sF2(X1) = mult(X1,sK0),
introduced(function_definition,[]) ).
fof(f26,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f15]) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f392,plain,
ld(sK0,sF2(sK0)) = sF2(sF2(ld(sK0,unit))),
inference(superposition,[],[f240,f35]) ).
fof(f35,plain,
sK0 = sF2(unit),
inference(superposition,[],[f19,f29]) ).
fof(f240,plain,
! [X5] : sF2(sF2(ld(sK0,X5))) = ld(sK0,sF2(sF2(X5))),
inference(superposition,[],[f70,f182]) ).
fof(f182,plain,
! [X0] : sF1(sF2(sF2(ld(sK0,X0)))) = sF2(sF2(X0)),
inference(superposition,[],[f180,f49]) ).
fof(f180,plain,
! [X0] : sF1(sF2(sF2(X0))) = sF2(sF2(sF1(X0))),
inference(forward_demodulation,[],[f179,f20]) ).
fof(f20,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] : mult(X0,unit) = X0,
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1] : mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f179,plain,
! [X0] : sF1(mult(sF2(sF2(X0)),unit)) = sF2(sF2(sF1(X0))),
inference(forward_demodulation,[],[f170,f29]) ).
fof(f170,plain,
! [X0] : sF1(mult(sF2(sF2(X0)),unit)) = mult(sF2(sF1(X0)),sK0),
inference(superposition,[],[f148,f32]) ).
fof(f32,plain,
sF1(unit) = sK0,
inference(superposition,[],[f20,f28]) ).
fof(f148,plain,
! [X16,X17] : sF1(mult(sF2(sF2(X16)),X17)) = mult(sF2(sF1(X16)),sF1(X17)),
inference(forward_demodulation,[],[f147,f28]) ).
fof(f147,plain,
! [X16,X17] : mult(sK0,mult(sF2(sF2(X16)),X17)) = mult(sF2(sF1(X16)),sF1(X17)),
inference(forward_demodulation,[],[f146,f29]) ).
fof(f146,plain,
! [X16,X17] : mult(sK0,mult(sF2(mult(X16,sK0)),X17)) = mult(sF2(sF1(X16)),sF1(X17)),
inference(forward_demodulation,[],[f145,f29]) ).
fof(f145,plain,
! [X16,X17] : mult(sK0,mult(mult(mult(X16,sK0),sK0),X17)) = mult(sF2(sF1(X16)),sF1(X17)),
inference(forward_demodulation,[],[f144,f29]) ).
fof(f144,plain,
! [X16,X17] : mult(sK0,mult(mult(mult(X16,sK0),sK0),X17)) = mult(mult(sF1(X16),sK0),sF1(X17)),
inference(forward_demodulation,[],[f126,f28]) ).
fof(f126,plain,
! [X16,X17] : mult(sK0,mult(mult(mult(X16,sK0),sK0),X17)) = mult(mult(sF1(X16),sK0),mult(sK0,X17)),
inference(superposition,[],[f21,f28]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(mult(mult(X1,X2),X1),mult(X1,X0)) = mult(X1,mult(mult(mult(X2,X1),X1),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X2,X0] : mult(mult(mult(X1,X2),X1),mult(X1,X0)) = mult(X1,mult(mult(mult(X2,X1),X1),X0)),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] : mult(mult(mult(X1,X0),X1),mult(X1,X2)) = mult(X1,mult(mult(mult(X0,X1),X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f70,plain,
! [X7] : ld(sK0,sF1(X7)) = X7,
inference(superposition,[],[f26,f28]) ).
fof(f39,plain,
! [X2] : rd(sF2(X2),sK0) = X2,
inference(superposition,[],[f22,f29]) ).
fof(f30,plain,
! [X1] :
( unit != sF2(X1)
| unit != sF1(X1) ),
inference(definition_folding,[],[f24,f29,f28]) ).
fof(f24,plain,
! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X0] :
! [X1] :
( mult(X1,X0) != unit
| unit != mult(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0] :
? [X1] :
( mult(X1,X0) = unit
& unit = mult(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X3] :
? [X4] :
( unit = mult(X4,X3)
& unit = mult(X3,X4) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X3] :
? [X4] :
( unit = mult(X4,X3)
& unit = mult(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP700+1 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 29 22:42:34 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.47 % (21327)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.17/0.48 % (21323)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.17/0.49 % (21331)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 (3000ds/75Mi)
% 0.17/0.50 % (21343)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 (3000ds/177Mi)
% 0.17/0.50 % (21335)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 (3000ds/100Mi)
% 0.17/0.50 % (21323)Instruction limit reached!
% 0.17/0.50 % (21323)------------------------------
% 0.17/0.50 % (21323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (21323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (21323)Termination reason: Unknown
% 0.17/0.50 % (21323)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (21323)Memory used [KB]: 5500
% 0.17/0.50 % (21323)Time elapsed: 0.115 s
% 0.17/0.50 % (21323)Instructions burned: 7 (million)
% 0.17/0.50 % (21323)------------------------------
% 0.17/0.50 % (21323)------------------------------
% 0.17/0.50 % (21339)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 (3000ds/467Mi)
% 0.17/0.51 % (21316)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 (3000ds/191324Mi)
% 0.17/0.51 TRYING [1]
% 0.17/0.51 TRYING [2]
% 0.17/0.52 % (21327)First to succeed.
% 0.17/0.52 % (21327)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Theorem for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (21327)------------------------------
% 0.17/0.52 % (21327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (21327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (21327)Termination reason: Refutation
% 0.17/0.52
% 0.17/0.52 % (21327)Memory used [KB]: 5756
% 0.17/0.52 % (21327)Time elapsed: 0.137 s
% 0.17/0.52 % (21327)Instructions burned: 17 (million)
% 0.17/0.52 % (21327)------------------------------
% 0.17/0.52 % (21327)------------------------------
% 0.17/0.52 % (21315)Success in time 0.191 s
%------------------------------------------------------------------------------