TSTP Solution File: NUM841+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n017.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 18:06:55 EDT 2022
% Result : Theorem 1.93s 0.66s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 23 unt; 0 def)
% Number of atoms : 56 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 11 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f486,plain,
$false,
inference(resolution,[],[f483,f180]) ).
fof(f180,plain,
~ greater(sF4,sF5),
inference(definition_folding,[],[f120,f179,f178]) ).
fof(f178,plain,
vplus(vd344,vd347) = sF4,
introduced(function_definition,[]) ).
fof(f179,plain,
vplus(vd345,vd348) = sF5,
introduced(function_definition,[]) ).
fof(f120,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(214, 352, 0)') ).
fof(f483,plain,
greater(sF4,sF5),
inference(resolution,[],[f481,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( greater(X0,X1)
| ~ less(X1,X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( less(X1,X0)
=> greater(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X26,X25] :
( less(X25,X26)
=> greater(X26,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f481,plain,
less(sF5,sF4),
inference(resolution,[],[f358,f196]) ).
fof(f196,plain,
less(sF5,vplus(vd347,vd345)),
inference(resolution,[],[f131,f183]) ).
fof(f183,plain,
greater(vplus(vd347,vd345),sF5),
inference(forward_demodulation,[],[f182,f179]) ).
fof(f182,plain,
greater(vplus(vd347,vd345),vplus(vd345,vd348)),
inference(forward_demodulation,[],[f121,f138]) ).
fof(f138,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X47,X46] : vplus(X47,X46) = vplus(X46,X47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f121,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(213, 351, 1)') ).
fof(f131,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( greater(X1,X0)
=> less(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X28,X27] :
( greater(X27,X28)
=> less(X28,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f358,plain,
! [X11] :
( ~ less(X11,vplus(vd347,vd345))
| less(X11,sF4) ),
inference(resolution,[],[f114,f315]) ).
fof(f315,plain,
less(vplus(vd347,vd345),sF4),
inference(forward_demodulation,[],[f312,f178]) ).
fof(f312,plain,
less(vplus(vd347,vd345),vplus(vd344,vd347)),
inference(resolution,[],[f181,f131]) ).
fof(f181,plain,
greater(vplus(vd344,vd347),vplus(vd347,vd345)),
inference(forward_demodulation,[],[f123,f138]) ).
fof(f123,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(212, 350, 0)') ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ less(X1,X2)
| less(X0,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ less(X1,X2)
| less(X0,X2)
| ~ less(X0,X1) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X14,X15,X16] :
( ( less(X14,X15)
& less(X15,X16) )
=> less(X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 08:25:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.51 % (30483)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)
% 0.22/0.52 % (30475)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.53 % (30467)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (30485)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.54 % (30472)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)
% 0.22/0.55 % (30480)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)
% 0.22/0.55 % (30482)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.56 % (30478)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.56 % (30466)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)
% 0.22/0.56 % (30464)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.56 % (30474)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.56 % (30470)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.57 % (30486)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)
% 0.22/0.57 % (30462)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)
% 0.22/0.59 TRYING [1]
% 0.22/0.59 TRYING [2]
% 0.22/0.59 % (30464)Instruction limit reached!
% 0.22/0.59 % (30464)------------------------------
% 0.22/0.59 % (30464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59 % (30464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59 % (30464)Termination reason: Unknown
% 0.22/0.59 % (30464)Termination phase: Saturation
% 0.22/0.59
% 0.22/0.59 % (30464)Memory used [KB]: 5500
% 0.22/0.59 % (30464)Time elapsed: 0.155 s
% 0.22/0.59 % (30464)Instructions burned: 7 (million)
% 0.22/0.59 % (30464)------------------------------
% 0.22/0.59 % (30464)------------------------------
% 0.22/0.59 TRYING [3]
% 1.56/0.60 % (30461)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.60 % (30459)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)
% 1.56/0.60 TRYING [4]
% 1.56/0.61 % (30484)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)
% 1.56/0.61 % (30476)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)
% 1.56/0.61 % (30458)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)
% 1.56/0.61 % (30457)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)
% 1.56/0.61 % (30468)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)
% 1.56/0.61 % (30463)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)
% 1.56/0.62 % (30469)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.56/0.62 % (30481)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.76/0.62 TRYING [1]
% 1.76/0.62 TRYING [1]
% 1.76/0.63 % (30460)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)
% 1.76/0.63 TRYING [2]
% 1.76/0.63 % (30473)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)
% 1.76/0.63 TRYING [3]
% 1.76/0.63 TRYING [2]
% 1.76/0.63 % (30477)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)
% 1.76/0.64 % (30465)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.76/0.64 % (30471)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)
% 1.76/0.64 TRYING [3]
% 1.93/0.65 % (30467)Instruction limit reached!
% 1.93/0.65 % (30467)------------------------------
% 1.93/0.65 % (30467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.65 % (30468)First to succeed.
% 1.93/0.66 % (30479)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)
% 1.93/0.66 % (30465)Instruction limit reached!
% 1.93/0.66 % (30465)------------------------------
% 1.93/0.66 % (30465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.66 % (30465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.66 % (30465)Termination reason: Unknown
% 1.93/0.66 % (30465)Termination phase: Function definition elimination
% 1.93/0.66
% 1.93/0.66 % (30465)Memory used [KB]: 1023
% 1.93/0.66 % (30465)Time elapsed: 0.004 s
% 1.93/0.66 % (30465)Instructions burned: 3 (million)
% 1.93/0.66 % (30465)------------------------------
% 1.93/0.66 % (30465)------------------------------
% 1.93/0.66 % (30468)Refutation found. Thanks to Tanya!
% 1.93/0.66 % SZS status Theorem for theBenchmark
% 1.93/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.66 % (30468)------------------------------
% 1.93/0.66 % (30468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.66 % (30468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.66 % (30468)Termination reason: Refutation
% 1.93/0.66
% 1.93/0.66 % (30468)Memory used [KB]: 5628
% 1.93/0.66 % (30468)Time elapsed: 0.154 s
% 1.93/0.66 % (30468)Instructions burned: 13 (million)
% 1.93/0.66 % (30468)------------------------------
% 1.93/0.66 % (30468)------------------------------
% 1.93/0.66 % (30456)Success in time 0.292 s
%------------------------------------------------------------------------------