TSTP Solution File: NUM420-1.001 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM420-1.001 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue May 21 01:57:23 EDT 2024
% Result : Unsatisfiable 81.80s 12.12s
% Output : Refutation 81.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 57 ( 33 unt; 0 def)
% Number of atoms : 93 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 42 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f390365,plain,
$false,
inference(subsumption_resolution,[],[f390364,f15925]) ).
fof(f15925,plain,
! [X0] : plus(X0,times(p__0,p__1)) != X0,
inference(forward_demodulation,[],[f15924,f13]) ).
fof(f13,axiom,
! [X0] : plus(X0,n0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f15924,plain,
! [X0] : plus(X0,n0) != plus(X0,times(p__0,p__1)),
inference(unit_resulting_resolution,[],[f15862,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( plus(X0,X1) != plus(X0,X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f15862,plain,
n0 != times(p__0,p__1),
inference(superposition,[],[f15754,f565]) ).
fof(f565,plain,
p__1 = plus(s_7(p__1),n1),
inference(unit_resulting_resolution,[],[f204,f87]) ).
fof(f87,axiom,
( ~ less(n0,p__1)
| p__1 = plus(s_7(p__1),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_53) ).
fof(f204,plain,
less(n0,p__1),
inference(subsumption_resolution,[],[f203,f144]) ).
fof(f144,plain,
less(n1,p__1),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X9] :
( p__1 != X9
| less(n1,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_81) ).
fof(f203,plain,
( ~ less(n1,p__1)
| less(n0,p__1) ),
inference(forward_demodulation,[],[f95,f80]) ).
fof(f80,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_46) ).
fof(f95,axiom,
( less(n0,p__1)
| ~ less(plus(n0,n1),p__1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_61) ).
fof(f15754,plain,
! [X0] : n0 != times(p__0,plus(X0,n1)),
inference(superposition,[],[f10252,f27]) ).
fof(f27,axiom,
! [X0,X1] : plus(times(X0,X1),X0) = times(X0,plus(X1,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f10252,plain,
! [X0] : n0 != plus(X0,p__0),
inference(superposition,[],[f10170,f548]) ).
fof(f548,plain,
p__0 = plus(s_7(p__0),n1),
inference(unit_resulting_resolution,[],[f206,f44]) ).
fof(f44,axiom,
( ~ less(n0,p__0)
| p__0 = plus(s_7(p__0),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f206,plain,
less(n0,p__0),
inference(subsumption_resolution,[],[f205,f151]) ).
fof(f151,plain,
less(n1,p__0),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X9] :
( p__0 != X9
| less(n1,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_83) ).
fof(f205,plain,
( ~ less(n1,p__0)
| less(n0,p__0) ),
inference(forward_demodulation,[],[f78,f80]) ).
fof(f78,axiom,
( less(n0,p__0)
| ~ less(plus(n0,n1),p__0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44) ).
fof(f10170,plain,
! [X0,X1] : n0 != plus(X0,plus(X1,n1)),
inference(superposition,[],[f16,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : plus(X0,plus(X1,X2)) = plus(plus(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f16,axiom,
! [X0] : n0 != plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f390364,plain,
n1 = plus(n1,times(p__0,p__1)),
inference(subsumption_resolution,[],[f390359,f54974]) ).
fof(f54974,plain,
! [X0,X1] : times(X1,p__0) != plus(n1,times(p__0,X0)),
inference(superposition,[],[f54933,f17]) ).
fof(f17,axiom,
! [X0,X1] : times(X0,X1) = times(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f54933,plain,
! [X0,X1] : times(X0,p__0) != plus(n1,times(X1,p__0)),
inference(unit_resulting_resolution,[],[f221,f151,f216]) ).
fof(f216,plain,
! [X8,X6,X7] :
( ~ less(X6,p__0)
| plus(X6,times(X7,p__0)) != times(X8,p__0)
| ~ less(n0,X6) ),
inference(forward_demodulation,[],[f215,f153]) ).
fof(f153,plain,
! [X13] : times(X13,p__0) = plus(n0,times(X13,p__0)),
inference(equality_resolution,[],[f133]) ).
fof(f133,axiom,
! [X9,X13] :
( p__0 != X9
| times(X13,X9) = plus(n0,times(X13,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_99) ).
fof(f215,plain,
! [X8,X6,X7] :
( ~ less(X6,p__0)
| ~ less(n0,X6)
| plus(X6,times(X7,p__0)) != plus(n0,times(X8,p__0)) ),
inference(subsumption_resolution,[],[f35,f206]) ).
fof(f35,axiom,
! [X8,X6,X7] :
( ~ less(X6,p__0)
| ~ less(n0,X6)
| ~ less(n0,p__0)
| plus(X6,times(X7,p__0)) != plus(n0,times(X8,p__0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f221,plain,
less(n0,n1),
inference(superposition,[],[f31,f80]) ).
fof(f31,axiom,
! [X0] : less(n0,plus(X0,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f390359,plain,
( plus(n1,times(p__0,p__1)) = times(s_4(plus(n1,times(p__0,p__1))),p__0)
| n1 = plus(n1,times(p__0,p__1)) ),
inference(superposition,[],[f323095,f390199]) ).
fof(f390199,plain,
p__0 = s_1(plus(n1,times(p__0,p__1))),
inference(unit_resulting_resolution,[],[f15925,f48660,f1239]) ).
fof(f1239,plain,
! [X0] :
( times(p__1,s_4(X0)) = X0
| n1 = X0
| p__0 = s_1(X0) ),
inference(duplicate_literal_removal,[],[f1234]) ).
fof(f1234,plain,
! [X0] :
( times(p__1,s_4(X0)) = X0
| n1 = X0
| n1 = X0
| p__0 = s_1(X0) ),
inference(superposition,[],[f122,f127]) ).
fof(f127,axiom,
! [X12] :
( p__1 = s_1(X12)
| n1 = X12
| p__0 = s_1(X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_93) ).
fof(f122,axiom,
! [X12] :
( times(s_1(X12),s_4(X12)) = X12
| n1 = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_88) ).
fof(f48660,plain,
! [X0,X1] : times(p__1,X0) != plus(n1,times(X1,p__1)),
inference(superposition,[],[f48604,f17]) ).
fof(f48604,plain,
! [X0,X1] : times(X0,p__1) != plus(n1,times(X1,p__1)),
inference(unit_resulting_resolution,[],[f221,f144,f212]) ).
fof(f212,plain,
! [X8,X6,X7] :
( ~ less(X6,p__1)
| times(X8,p__1) != plus(X6,times(X7,p__1))
| ~ less(n0,X6) ),
inference(forward_demodulation,[],[f211,f146]) ).
fof(f146,plain,
! [X13] : times(X13,p__1) = plus(n0,times(X13,p__1)),
inference(equality_resolution,[],[f128]) ).
fof(f128,axiom,
! [X9,X13] :
( p__1 != X9
| times(X13,X9) = plus(n0,times(X13,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_94) ).
fof(f211,plain,
! [X8,X6,X7] :
( ~ less(X6,p__1)
| ~ less(n0,X6)
| plus(X6,times(X7,p__1)) != plus(n0,times(X8,p__1)) ),
inference(subsumption_resolution,[],[f89,f204]) ).
fof(f89,axiom,
! [X8,X6,X7] :
( ~ less(X6,p__1)
| ~ less(n0,X6)
| ~ less(n0,p__1)
| plus(X6,times(X7,p__1)) != plus(n0,times(X8,p__1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_55) ).
fof(f323095,plain,
! [X0] :
( times(s_4(X0),s_1(X0)) = X0
| n1 = X0 ),
inference(forward_demodulation,[],[f322820,f21]) ).
fof(f21,axiom,
! [X0] : times(n1,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f322820,plain,
! [X0] :
( times(n1,X0) = times(s_4(X0),s_1(X0))
| n1 = X0 ),
inference(superposition,[],[f253296,f122]) ).
fof(f253296,plain,
! [X0,X1] : times(X1,X0) = times(n1,times(X0,X1)),
inference(superposition,[],[f13253,f21]) ).
fof(f13253,plain,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(X2,times(X0,X1)),
inference(superposition,[],[f18,f17]) ).
fof(f18,axiom,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(times(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM420-1.001 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 04:20:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (6864)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (6867)WARNING: value z3 for option sas not known
% 0.15/0.39 % (6865)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (6866)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (6867)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (6868)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (6869)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (6870)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 % (6871)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.15/0.42 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.47 TRYING [4]
% 0.22/0.52 TRYING [3]
% 1.48/0.59 TRYING [5]
% 2.64/0.74 TRYING [4]
% 4.76/1.08 TRYING [6]
% 6.15/1.31 TRYING [5]
% 7.79/1.50 TRYING [1]
% 7.79/1.50 TRYING [2]
% 7.79/1.51 TRYING [3]
% 7.79/1.54 TRYING [4]
% 8.96/1.68 TRYING [5]
% 12.34/2.13 TRYING [6]
% 15.84/2.64 TRYING [6]
% 17.03/2.87 TRYING [7]
% 22.02/3.52 TRYING [7]
% 42.89/6.56 TRYING [7]
% 45.85/6.94 TRYING [8]
% 47.82/7.21 TRYING [8]
% 81.80/12.11 % (6871)First to succeed.
% 81.80/12.11 % (6871)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6864"
% 81.80/12.12 % (6871)Refutation found. Thanks to Tanya!
% 81.80/12.12 % SZS status Unsatisfiable for theBenchmark
% 81.80/12.12 % SZS output start Proof for theBenchmark
% See solution above
% 81.80/12.12 % (6871)------------------------------
% 81.80/12.12 % (6871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 81.80/12.12 % (6871)Termination reason: Refutation
% 81.80/12.12
% 81.80/12.12 % (6871)Memory used [KB]: 86994
% 81.80/12.12 % (6871)Time elapsed: 11.722 s
% 81.80/12.12 % (6871)Instructions burned: 24331 (million)
% 81.80/12.12 % (6864)Success in time 11.734 s
%------------------------------------------------------------------------------