TSTP Solution File: GRP679-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP679-1 : 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 : n024.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 16:23:37 EDT 2022
% Result : Unsatisfiable 1.98s 0.54s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f758,plain,
$false,
inference(subsumption_resolution,[],[f757,f13]) ).
fof(f13,plain,
sF2 != sF1,
inference(definition_folding,[],[f9,f12,f10,f11,f10]) ).
fof(f11,plain,
mult(sF0,a) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
mult(op_c,op_c) = sF0,
introduced(function_definition,[]) ).
fof(f12,plain,
sF2 = mult(a,sF0),
introduced(function_definition,[]) ).
fof(f9,axiom,
mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f757,plain,
sF2 = sF1,
inference(backward_demodulation,[],[f12,f756]) ).
fof(f756,plain,
mult(a,sF0) = sF1,
inference(forward_demodulation,[],[f724,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f724,plain,
mult(a,sF0) = mult(op_c,ld(op_c,sF1)),
inference(superposition,[],[f662,f555]) ).
fof(f555,plain,
ld(op_c,sF1) = mult(a,op_c),
inference(superposition,[],[f1,f452]) ).
fof(f452,plain,
op_c = ld(a,ld(op_c,sF1)),
inference(superposition,[],[f43,f446]) ).
fof(f446,plain,
ld(op_c,sF1) = mult(op_c,a),
inference(forward_demodulation,[],[f444,f105]) ).
fof(f105,plain,
! [X3] : ld(op_c,X3) = rd(X3,op_c),
inference(superposition,[],[f40,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f40,plain,
! [X1] : ld(op_c,mult(X1,op_c)) = X1,
inference(superposition,[],[f2,f8]) ).
fof(f8,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f444,plain,
rd(sF1,op_c) = mult(op_c,a),
inference(superposition,[],[f32,f278]) ).
fof(f278,plain,
op_c = ld(mult(op_c,a),sF1),
inference(superposition,[],[f212,f11]) ).
fof(f212,plain,
! [X0] : op_c = ld(mult(op_c,X0),mult(sF0,X0)),
inference(superposition,[],[f43,f142]) ).
fof(f142,plain,
! [X8] : mult(op_c,mult(op_c,X8)) = mult(sF0,X8),
inference(superposition,[],[f65,f10]) ).
fof(f65,plain,
! [X14,X15] : mult(mult(X14,X14),X15) = mult(X14,mult(X14,X15)),
inference(forward_demodulation,[],[f50,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f50,plain,
! [X14,X15] : mult(mult(X14,X14),X15) = mult(X14,mult(unit,mult(X14,X15))),
inference(superposition,[],[f7,f6]) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f32,plain,
! [X2,X1] : rd(X2,ld(X1,X2)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f43,plain,
! [X1] : op_c = ld(X1,mult(op_c,X1)),
inference(superposition,[],[f2,f8]) ).
fof(f662,plain,
! [X35] : mult(op_c,mult(X35,op_c)) = mult(X35,sF0),
inference(forward_demodulation,[],[f617,f42]) ).
fof(f42,plain,
! [X0] : rd(mult(op_c,X0),op_c) = X0,
inference(superposition,[],[f4,f8]) ).
fof(f617,plain,
! [X35] : mult(op_c,mult(X35,op_c)) = rd(mult(op_c,mult(X35,sF0)),op_c),
inference(superposition,[],[f60,f10]) ).
fof(f60,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X2))),X2),
inference(superposition,[],[f4,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP679-1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.08/0.26 % Computer : n024.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Mon Aug 29 22:47:04 EDT 2022
% 0.08/0.26 % CPUTime :
% 0.12/0.43 % (20952)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 (3000ds/68Mi)
% 0.12/0.45 % (20953)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)
% 0.12/0.45 % (20945)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.12/0.46 % (20945)Instruction limit reached!
% 0.12/0.46 % (20945)------------------------------
% 0.12/0.46 % (20945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.46 % (20944)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.12/0.46 TRYING [1]
% 0.12/0.46 TRYING [2]
% 0.12/0.46 TRYING [3]
% 0.12/0.47 % (20945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.47 % (20945)Termination reason: Unknown
% 0.12/0.47 % (20945)Termination phase: Saturation
% 0.12/0.47
% 0.12/0.47 % (20945)Memory used [KB]: 5500
% 0.12/0.47 % (20945)Time elapsed: 0.123 s
% 0.12/0.47 % (20945)Instructions burned: 7 (million)
% 0.12/0.47 % (20945)------------------------------
% 0.12/0.47 % (20945)------------------------------
% 0.12/0.47 % (20961)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)
% 0.12/0.47 TRYING [4]
% 0.12/0.48 % (20960)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 (3000ds/498Mi)
% 0.12/0.49 % (20938)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)
% 0.12/0.49 TRYING [1]
% 0.12/0.49 TRYING [2]
% 0.12/0.49 TRYING [3]
% 0.12/0.50 % (20942)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.12/0.50 % (20951)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.12/0.50 % (20966)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.12/0.50 % (20965)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)
% 0.12/0.51 % (20964)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 (3000ds/68Mi)
% 0.12/0.51 % (20955)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.12/0.51 % (20962)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.12/0.51 % (20958)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 (3000ds/176Mi)
% 0.12/0.51 % (20957)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)
% 0.12/0.51 % (20967)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 (3000ds/355Mi)
% 0.12/0.51 % (20956)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.12/0.51 % (20947)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 (3000ds/51Mi)
% 0.12/0.51 % (20940)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 (3000ds/37Mi)
% 0.12/0.51 % (20943)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 (3000ds/48Mi)
% 0.12/0.51 % (20954)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 (3000ds/99Mi)
% 0.12/0.51 % (20950)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.12/0.51 % (20963)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.12/0.52 TRYING [4]
% 0.12/0.52 % (20941)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.12/0.52 TRYING [5]
% 0.12/0.52 TRYING [1]
% 0.12/0.52 TRYING [2]
% 0.12/0.52 % (20948)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.12/0.52 TRYING [3]
% 0.12/0.52 % (20959)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.98/0.53 TRYING [4]
% 1.98/0.54 % (20953)First to succeed.
% 1.98/0.54 % (20949)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)
% 1.98/0.54 % (20939)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.98/0.54 % (20953)Refutation found. Thanks to Tanya!
% 1.98/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.98/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.54 % (20953)------------------------------
% 1.98/0.54 % (20953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.54 % (20953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.54 % (20953)Termination reason: Refutation
% 1.98/0.54
% 1.98/0.54 % (20953)Memory used [KB]: 1791
% 1.98/0.54 % (20953)Time elapsed: 0.197 s
% 1.98/0.54 % (20953)Instructions burned: 45 (million)
% 1.98/0.54 % (20953)------------------------------
% 1.98/0.54 % (20953)------------------------------
% 1.98/0.54 % (20937)Success in time 0.272 s
%------------------------------------------------------------------------------