TSTP Solution File: GRP755-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP755-1 : 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 : n014.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 06:10:47 EDT 2024
% Result : Unsatisfiable 29.51s 4.62s
% Output : Refutation 29.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of formulae : 72 ( 32 unt; 0 def)
% Number of atoms : 119 ( 118 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 4 ~; 47 |; 0 &)
% ( 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; 3 con; 0-2 aty)
% Number of variables : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46867,plain,
$false,
inference(trivial_inequality_removal,[],[f46826]) ).
fof(f46826,plain,
i(mult(a,b)) != i(mult(a,b)),
inference(superposition,[],[f8821,f42676]) ).
fof(f42676,plain,
! [X0,X1] : i(mult(X1,X0)) = rd(i(X0),X1),
inference(backward_demodulation,[],[f39526,f41604]) ).
fof(f41604,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(X1,i(X0)),
inference(superposition,[],[f9911,f39497]) ).
fof(f39497,plain,
! [X0,X1] : mult(X0,X1) = ld(i(X0),X1),
inference(superposition,[],[f36638,f6616]) ).
fof(f6616,plain,
! [X0] : i(i(X0)) = X0,
inference(backward_demodulation,[],[f45,f6538]) ).
fof(f6538,plain,
! [X0] : i(X0) = rd(unit,X0),
inference(superposition,[],[f4,f6522]) ).
fof(f6522,plain,
! [X0] : unit = mult(i(X0),X0),
inference(duplicate_literal_removal,[],[f6521]) ).
fof(f6521,plain,
! [X0] :
( unit = mult(i(X0),X0)
| unit = mult(i(X0),X0) ),
inference(forward_demodulation,[],[f6520,f11]) ).
fof(f11,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(superposition,[],[f1,f9]) ).
fof(f9,axiom,
! [X0] : i(X0) = ld(X0,unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f6520,plain,
! [X0] :
( mult(X0,i(X0)) = mult(i(X0),X0)
| unit = mult(i(X0),X0) ),
inference(forward_demodulation,[],[f6519,f1]) ).
fof(f6519,plain,
! [X0] :
( unit = mult(i(X0),X0)
| mult(i(X0),X0) = mult(X0,mult(X0,ld(X0,i(X0)))) ),
inference(duplicate_literal_removal,[],[f6518]) ).
fof(f6518,plain,
! [X0] :
( unit = mult(i(X0),X0)
| mult(i(X0),X0) = mult(X0,mult(X0,ld(X0,i(X0))))
| unit = mult(i(X0),X0) ),
inference(forward_demodulation,[],[f6457,f11]) ).
fof(f6457,plain,
! [X0] :
( mult(X0,i(X0)) = mult(i(X0),X0)
| mult(i(X0),X0) = mult(X0,mult(X0,ld(X0,i(X0))))
| unit = mult(i(X0),X0) ),
inference(superposition,[],[f98,f6442]) ).
fof(f6442,plain,
! [X0] :
( i(X0) = mult(ld(X0,i(X0)),X0)
| unit = mult(i(X0),X0) ),
inference(forward_demodulation,[],[f6362,f35]) ).
fof(f35,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f4,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f6362,plain,
! [X0] :
( i(X0) = mult(ld(X0,i(X0)),X0)
| rd(i(X0),i(X0)) = mult(i(X0),X0) ),
inference(superposition,[],[f934,f175]) ).
fof(f175,plain,
! [X0] : mult(i(X0),i(X0)) = ld(X0,i(X0)),
inference(superposition,[],[f2,f167]) ).
fof(f167,plain,
! [X0] : i(X0) = mult(X0,mult(i(X0),i(X0))),
inference(forward_demodulation,[],[f151,f6]) ).
fof(f151,plain,
! [X0] : mult(X0,mult(i(X0),i(X0))) = mult(unit,i(X0)),
inference(superposition,[],[f92,f11]) ).
fof(f92,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(trivial_inequality_removal,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( mult(X0,mult(X1,X1)) != mult(X0,mult(X1,X1))
| mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)) ),
inference(equality_factoring,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( mult(X0,mult(X1,X2)) = mult(mult(X0,X2),X1)
| mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f934,plain,
! [X0,X1] :
( mult(mult(X1,i(X0)),X0) = X1
| mult(X1,X0) = rd(X1,i(X0)) ),
inference(forward_demodulation,[],[f933,f5]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f933,plain,
! [X0,X1] :
( mult(X1,X0) = rd(X1,i(X0))
| mult(X1,unit) = mult(mult(X1,i(X0)),X0) ),
inference(forward_demodulation,[],[f898,f5]) ).
fof(f898,plain,
! [X0,X1] :
( mult(X1,X0) = rd(mult(X1,unit),i(X0))
| mult(X1,unit) = mult(mult(X1,i(X0)),X0) ),
inference(superposition,[],[f84,f11]) ).
fof(f84,plain,
! [X2,X0,X1] :
( mult(X0,X1) = rd(mult(X0,mult(X1,X2)),X2)
| mult(X0,mult(X1,X2)) = mult(mult(X0,X2),X1) ),
inference(superposition,[],[f4,f7]) ).
fof(f98,plain,
! [X2,X0,X1] :
( mult(X1,X2) = mult(X0,mult(ld(X0,X1),X2))
| mult(X1,X2) = mult(X0,mult(X2,ld(X0,X1))) ),
inference(superposition,[],[f8,f1]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2)
| mult(mult(X0,X1),X2) = mult(X0,mult(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f45,plain,
! [X0] : i(rd(unit,X0)) = X0,
inference(superposition,[],[f29,f9]) ).
fof(f29,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f36638,plain,
! [X0,X1] : ld(X0,X1) = mult(i(X0),X1),
inference(duplicate_literal_removal,[],[f36637]) ).
fof(f36637,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| ld(X0,X1) = mult(i(X0),X1) ),
inference(forward_demodulation,[],[f36602,f1]) ).
fof(f36602,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| ld(X0,X1) = mult(i(X0),mult(X0,ld(X0,X1))) ),
inference(duplicate_literal_removal,[],[f36293]) ).
fof(f36293,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| ld(X0,X1) = mult(i(X0),mult(X0,ld(X0,X1)))
| ld(X0,X1) = mult(i(X0),X1) ),
inference(superposition,[],[f6771,f24724]) ).
fof(f24724,plain,
! [X0,X1] :
( mult(ld(X0,X1),X0) = X1
| ld(X0,X1) = mult(i(X0),X1) ),
inference(superposition,[],[f22382,f1]) ).
fof(f22382,plain,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| mult(X0,X1) = mult(X1,X0) ),
inference(superposition,[],[f1,f19761]) ).
fof(f19761,plain,
! [X0,X1] :
( mult(X0,X1) = ld(i(X0),X1)
| mult(X0,X1) = mult(X1,X0) ),
inference(forward_demodulation,[],[f19760,f6616]) ).
fof(f19760,plain,
! [X0,X1] :
( mult(X0,X1) = mult(X1,X0)
| ld(i(X0),X1) = mult(i(i(X0)),X1) ),
inference(duplicate_literal_removal,[],[f19759]) ).
fof(f19759,plain,
! [X0,X1] :
( mult(X0,X1) = mult(X1,X0)
| mult(X0,X1) = mult(X1,X0)
| ld(i(X0),X1) = mult(i(i(X0)),X1) ),
inference(forward_demodulation,[],[f19758,f4]) ).
fof(f19758,plain,
! [X0,X1] :
( mult(X1,X0) = mult(X0,rd(mult(X1,X0),X0))
| mult(X0,X1) = mult(X1,X0)
| ld(i(X0),X1) = mult(i(i(X0)),X1) ),
inference(forward_demodulation,[],[f19757,f8739]) ).
fof(f8739,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,i(X0)),
inference(superposition,[],[f6820,f6616]) ).
fof(f6820,plain,
! [X0,X1] : mult(X1,i(X0)) = rd(X1,X0),
inference(duplicate_literal_removal,[],[f6819]) ).
fof(f6819,plain,
! [X0,X1] :
( mult(X1,i(X0)) = rd(X1,X0)
| mult(X1,i(X0)) = rd(X1,X0) ),
inference(forward_demodulation,[],[f6818,f5]) ).
fof(f6818,plain,
! [X0,X1] :
( mult(X1,i(X0)) = mult(rd(X1,X0),unit)
| mult(X1,i(X0)) = rd(X1,X0) ),
inference(forward_demodulation,[],[f6817,f11]) ).
fof(f6817,plain,
! [X0,X1] :
( mult(X1,i(X0)) = rd(X1,X0)
| mult(X1,i(X0)) = mult(rd(X1,X0),mult(X0,i(X0))) ),
inference(forward_demodulation,[],[f6550,f5]) ).
fof(f6550,plain,
! [X0,X1] :
( mult(X1,i(X0)) = mult(rd(X1,X0),unit)
| mult(X1,i(X0)) = mult(rd(X1,X0),mult(X0,i(X0))) ),
inference(superposition,[],[f104,f6522]) ).
fof(f104,plain,
! [X2,X0,X1] :
( mult(X0,X2) = mult(rd(X0,X1),mult(X1,X2))
| mult(X0,X2) = mult(rd(X0,X1),mult(X2,X1)) ),
inference(superposition,[],[f8,f3]) ).
fof(f19757,plain,
! [X0,X1] :
( mult(X0,X1) = mult(X1,X0)
| rd(X1,i(X0)) = mult(X0,rd(rd(X1,i(X0)),X0))
| ld(i(X0),X1) = mult(i(i(X0)),X1) ),
inference(forward_demodulation,[],[f19739,f8739]) ).
fof(f19739,plain,
! [X0,X1] :
( mult(X0,X1) = rd(X1,i(X0))
| rd(X1,i(X0)) = mult(X0,rd(rd(X1,i(X0)),X0))
| ld(i(X0),X1) = mult(i(i(X0)),X1) ),
inference(superposition,[],[f6822,f6956]) ).
fof(f6956,plain,
! [X0,X1] :
( mult(X0,rd(X1,X0)) = X1
| ld(X0,X1) = mult(i(X0),X1) ),
inference(backward_demodulation,[],[f5610,f6820]) ).
fof(f5610,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(X0,mult(X1,i(X0))) = X1 ),
inference(superposition,[],[f2,f144]) ).
fof(f144,plain,
! [X0,X1] :
( mult(X0,mult(X1,i(X0))) = X1
| mult(X0,mult(i(X0),X1)) = X1 ),
inference(forward_demodulation,[],[f143,f6]) ).
fof(f143,plain,
! [X0,X1] :
( mult(X0,mult(i(X0),X1)) = X1
| mult(X0,mult(X1,i(X0))) = mult(unit,X1) ),
inference(forward_demodulation,[],[f99,f6]) ).
fof(f99,plain,
! [X0,X1] :
( mult(unit,X1) = mult(X0,mult(i(X0),X1))
| mult(X0,mult(X1,i(X0))) = mult(unit,X1) ),
inference(superposition,[],[f8,f11]) ).
fof(f6822,plain,
! [X0,X1] :
( mult(X0,mult(i(X0),X1)) = X1
| mult(X0,rd(X1,X0)) = X1 ),
inference(backward_demodulation,[],[f144,f6820]) ).
fof(f6771,plain,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| mult(i(X0),mult(X1,X0)) = X1 ),
inference(forward_demodulation,[],[f6664,f6538]) ).
fof(f6664,plain,
! [X0,X1] :
( mult(i(X0),mult(X1,X0)) = X1
| mult(rd(unit,X0),mult(X0,X1)) = X1 ),
inference(backward_demodulation,[],[f5498,f6538]) ).
fof(f5498,plain,
! [X0,X1] :
( mult(rd(unit,X0),mult(X1,X0)) = X1
| mult(rd(unit,X0),mult(X0,X1)) = X1 ),
inference(superposition,[],[f144,f45]) ).
fof(f9911,plain,
! [X0,X1] : ld(X0,X1) = i(ld(X1,X0)),
inference(superposition,[],[f8780,f33]) ).
fof(f33,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f8780,plain,
! [X0,X1] : i(X1) = ld(X0,rd(X0,X1)),
inference(superposition,[],[f2,f6820]) ).
fof(f39526,plain,
! [X0,X1] : rd(i(X0),X1) = ld(X0,i(X1)),
inference(superposition,[],[f36638,f6820]) ).
fof(f8821,plain,
i(mult(a,b)) != rd(i(b),a),
inference(superposition,[],[f10,f6820]) ).
fof(f10,axiom,
i(mult(a,b)) != mult(i(b),i(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP755-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:43:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (14175)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (14178)WARNING: value z3 for option sas not known
% 0.16/0.38 % (14179)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (14177)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (14176)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (14178)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)
% 0.16/0.38 % (14180)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)
% 0.16/0.38 % (14181)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)
% 0.16/0.38 % (14182)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [4]
% 0.16/0.40 TRYING [3]
% 0.16/0.42 TRYING [5]
% 0.22/0.43 TRYING [4]
% 0.22/0.49 TRYING [6]
% 0.22/0.51 TRYING [5]
% 1.63/0.61 TRYING [7]
% 2.57/0.72 TRYING [6]
% 3.73/0.88 TRYING [8]
% 7.85/1.48 TRYING [1]
% 7.85/1.48 TRYING [2]
% 7.85/1.48 TRYING [3]
% 7.85/1.49 TRYING [4]
% 8.29/1.53 TRYING [5]
% 8.96/1.65 TRYING [6]
% 10.92/1.96 TRYING [7]
% 13.71/2.38 TRYING [7]
% 14.34/2.44 TRYING [9]
% 16.42/2.73 TRYING [8]
% 29.51/4.61 % (14181)First to succeed.
% 29.51/4.61 % (14181)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14175"
% 29.51/4.62 % (14181)Refutation found. Thanks to Tanya!
% 29.51/4.62 % SZS status Unsatisfiable for theBenchmark
% 29.51/4.62 % SZS output start Proof for theBenchmark
% See solution above
% 29.51/4.62 % (14181)------------------------------
% 29.51/4.62 % (14181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 29.51/4.62 % (14181)Termination reason: Refutation
% 29.51/4.62
% 29.51/4.62 % (14181)Memory used [KB]: 17901
% 29.51/4.62 % (14181)Time elapsed: 4.229 s
% 29.51/4.62 % (14181)Instructions burned: 8547 (million)
% 29.51/4.62 % (14175)Success in time 4.219 s
%------------------------------------------------------------------------------