TSTP Solution File: GRP748-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP748-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 06:10:46 EDT 2024
% Result : Unsatisfiable 120.19s 17.56s
% Output : Refutation 120.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 23 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 4 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f507172,plain,
$false,
inference(trivial_inequality_removal,[],[f506873]) ).
fof(f506873,plain,
mult(a,mult(b,mult(c,b))) != mult(a,mult(b,mult(c,b))),
inference(superposition,[],[f530,f425103]) ).
fof(f425103,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[],[f422592,f3284]) ).
fof(f3284,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = ld(i(X0),mult(X1,X0)),
inference(superposition,[],[f2,f556]) ).
fof(f556,plain,
! [X0,X1] : mult(X1,X0) = mult(i(X0),mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f517,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f517,plain,
! [X0,X1] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(mult(unit,X1),X0),
inference(superposition,[],[f7,f10]) ).
fof(f10,axiom,
! [X0] : unit = mult(i(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f422592,plain,
! [X0,X1] : mult(X0,X1) = ld(i(X0),X1),
inference(superposition,[],[f422579,f35]) ).
fof(f35,plain,
! [X0] : i(i(X0)) = X0,
inference(superposition,[],[f25,f23]) ).
fof(f23,plain,
! [X0] : i(X0) = ld(X0,unit),
inference(superposition,[],[f2,f9]) ).
fof(f9,axiom,
! [X0] : unit = mult(X0,i(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f25,plain,
! [X0] : ld(i(X0),unit) = X0,
inference(superposition,[],[f2,f10]) ).
fof(f422579,plain,
! [X0,X1] : ld(X0,X1) = mult(i(X0),X1),
inference(subsumption_resolution,[],[f421080,f44123]) ).
fof(f44123,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| ld(X0,X1) = rd(X1,X0) ),
inference(superposition,[],[f4,f2382]) ).
fof(f2382,plain,
! [X0,X1] :
( mult(ld(X0,X1),X0) = X1
| ld(X0,X1) = mult(i(X0),X1) ),
inference(forward_demodulation,[],[f2335,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2335,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(X0,ld(X0,X1)) = mult(ld(X0,X1),X0) ),
inference(superposition,[],[f11,f1]) ).
fof(f11,axiom,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| mult(X0,X1) = mult(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f421080,plain,
! [X0,X1] :
( ld(X0,X1) != rd(X1,X0)
| ld(X0,X1) = mult(i(X0),X1) ),
inference(equality_factoring,[],[f43469]) ).
fof(f43469,plain,
! [X0,X1] :
( rd(X1,X0) = mult(i(X0),X1)
| ld(X0,X1) = mult(i(X0),X1) ),
inference(forward_demodulation,[],[f43356,f88]) ).
fof(f88,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f43356,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(X1,i(X0)) = mult(i(X0),X1) ),
inference(superposition,[],[f2363,f35]) ).
fof(f2363,plain,
! [X0,X1] :
( mult(X0,X1) = ld(i(X0),X1)
| mult(X0,X1) = mult(X1,X0) ),
inference(superposition,[],[f2,f11]) ).
fof(f530,plain,
mult(a,mult(b,mult(c,b))) != mult(a,mult(mult(b,c),b)),
inference(superposition,[],[f12,f7]) ).
fof(f12,axiom,
mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP748-3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:50:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (7141)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (7144)WARNING: value z3 for option sas not known
% 0.13/0.37 % (7145)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (7148)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)
% 0.13/0.37 % (7146)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)
% 0.13/0.37 % (7143)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.37 % (7147)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)
% 0.18/0.37 % (7144)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)
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.37 TRYING [3]
% 0.18/0.37 % (7142)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [1]
% 0.18/0.38 TRYING [2]
% 0.18/0.39 TRYING [3]
% 0.18/0.39 TRYING [5]
% 0.18/0.41 TRYING [4]
% 0.18/0.42 TRYING [6]
% 0.18/0.51 TRYING [5]
% 0.18/0.52 TRYING [7]
% 2.70/0.73 TRYING [8]
% 3.68/0.86 TRYING [6]
% 6.27/1.24 TRYING [9]
% 7.74/1.47 TRYING [1]
% 7.74/1.47 TRYING [2]
% 7.74/1.47 TRYING [3]
% 7.74/1.47 TRYING [4]
% 7.99/1.49 TRYING [5]
% 8.48/1.55 TRYING [6]
% 9.34/1.73 TRYING [7]
% 11.42/2.06 TRYING [8]
% 13.61/2.32 TRYING [10]
% 14.61/2.51 TRYING [7]
% 18.17/2.95 TRYING [9]
% 33.28/5.12 TRYING [11]
% 35.55/5.50 TRYING [10]
% 70.04/10.43 TRYING [12]
% 70.77/10.50 TRYING [11]
% 93.05/13.68 TRYING [8]
% 103.04/15.16 TRYING [13]
% 119.65/17.47 TRYING [12]
% 119.65/17.53 % (7148)First to succeed.
% 120.19/17.55 % (7148)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7141"
% 120.19/17.56 % (7148)Refutation found. Thanks to Tanya!
% 120.19/17.56 % SZS status Unsatisfiable for theBenchmark
% 120.19/17.56 % SZS output start Proof for theBenchmark
% See solution above
% 120.19/17.56 % (7148)------------------------------
% 120.19/17.56 % (7148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 120.19/17.56 % (7148)Termination reason: Refutation
% 120.19/17.56
% 120.19/17.56 % (7148)Memory used [KB]: 117906
% 120.19/17.56 % (7148)Time elapsed: 17.183 s
% 120.19/17.56 % (7148)Instructions burned: 35892 (million)
% 120.19/17.56 % (7141)Success in time 17.105 s
%------------------------------------------------------------------------------