TSTP Solution File: GRP687-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP687-1 : 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 : n010.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 Apr 30 12:08:38 EDT 2024
% Result : Unsatisfiable 10.43s 1.86s
% Output : Refutation 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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; 4 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39209,plain,
$false,
inference(trivial_inequality_removal,[],[f39025]) ).
fof(f39025,plain,
mult(a,mult(b,mult(b,c))) != mult(a,mult(b,mult(b,c))),
inference(superposition,[],[f8,f27141]) ).
fof(f27141,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(superposition,[],[f170,f7685]) ).
fof(f7685,plain,
! [X2,X0,X1] : mult(X0,mult(X0,X2)) = mult(X1,mult(ld(X1,mult(X0,X0)),X2)),
inference(backward_demodulation,[],[f5458,f7606]) ).
fof(f7606,plain,
! [X2,X0,X1] : ld(ld(X1,ld(X1,X0)),X2) = mult(ld(X0,mult(X1,X1)),X2),
inference(superposition,[],[f1397,f6363]) ).
fof(f6363,plain,
! [X0,X1] : ld(X0,ld(X0,X1)) = ld(ld(X1,mult(X0,X0)),unit),
inference(forward_demodulation,[],[f6326,f160]) ).
fof(f160,plain,
! [X0,X1] : ld(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
inference(forward_demodulation,[],[f148,f121]) ).
fof(f121,plain,
! [X0,X1] : ld(X0,X1) = ld(mult(X0,X0),mult(X0,X1)),
inference(superposition,[],[f72,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f72,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,X1))) = X1,
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[],[f42,f5]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f42,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),mult(X1,unit)),
inference(superposition,[],[f7,f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,mult(X0,X1)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f148,plain,
! [X0,X1] : ld(mult(X0,X0),X1) = ld(mult(X0,X0),mult(X0,ld(X0,X1))),
inference(superposition,[],[f72,f86]) ).
fof(f86,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
! [X0,X1] : mult(X0,mult(X0,ld(mult(X0,X0),X1))) = X1,
inference(superposition,[],[f56,f1]) ).
fof(f6326,plain,
! [X0,X1] : ld(mult(X0,X0),X1) = ld(ld(X1,mult(X0,X0)),unit),
inference(superposition,[],[f6088,f22]) ).
fof(f22,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f6088,plain,
! [X0,X1] : ld(X1,unit) = ld(mult(X0,X0),rd(mult(X0,X0),X1)),
inference(superposition,[],[f72,f1529]) ).
fof(f1529,plain,
! [X0,X1] : mult(X1,mult(X1,ld(X0,unit))) = rd(mult(X1,X1),X0),
inference(forward_demodulation,[],[f1514,f5]) ).
fof(f1514,plain,
! [X0,X1] : mult(X1,mult(X1,ld(X0,unit))) = rd(mult(X1,mult(X1,unit)),X0),
inference(superposition,[],[f63,f1354]) ).
fof(f1354,plain,
! [X0] : unit = mult(ld(X0,unit),X0),
inference(superposition,[],[f1315,f22]) ).
fof(f1315,plain,
! [X0] : unit = mult(X0,rd(unit,X0)),
inference(superposition,[],[f1209,f12]) ).
fof(f12,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f2,f5]) ).
fof(f1209,plain,
! [X0,X1] : mult(X0,X1) = ld(rd(unit,X0),X1),
inference(superposition,[],[f1145,f19]) ).
fof(f19,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',c03) ).
fof(f1145,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,unit),X1),
inference(forward_demodulation,[],[f1101,f121]) ).
fof(f1101,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = mult(ld(X0,unit),X1),
inference(superposition,[],[f453,f5]) ).
fof(f453,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(mult(X0,X0),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f36]) ).
fof(f36,plain,
! [X2,X0,X1] : mult(mult(X0,X0),mult(ld(X0,X1),X2)) = mult(mult(X0,X1),X2),
inference(superposition,[],[f7,f1]) ).
fof(f63,plain,
! [X2,X0,X1] : mult(X0,mult(X0,X1)) = rd(mult(X0,mult(X0,mult(X1,X2))),X2),
inference(forward_demodulation,[],[f44,f56]) ).
fof(f44,plain,
! [X2,X0,X1] : mult(X0,mult(X0,X1)) = rd(mult(mult(X0,X0),mult(X1,X2)),X2),
inference(superposition,[],[f4,f7]) ).
fof(f1397,plain,
! [X0,X1] : mult(X0,X1) = ld(ld(X0,unit),X1),
inference(backward_demodulation,[],[f1209,f1361]) ).
fof(f1361,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(superposition,[],[f2,f1315]) ).
fof(f5458,plain,
! [X2,X0,X1] : mult(X0,mult(X0,X2)) = mult(X1,ld(ld(X0,ld(X0,X1)),X2)),
inference(superposition,[],[f489,f1]) ).
fof(f489,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,mult(X0,X2)),
inference(forward_demodulation,[],[f450,f56]) ).
fof(f450,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,X0),X2),
inference(superposition,[],[f36,f1]) ).
fof(f170,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(X0,mult(X0,mult(ld(X0,X1),X2))),
inference(superposition,[],[f58,f1]) ).
fof(f58,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X0,X1)),X2) = mult(X0,mult(X0,mult(X1,X2))),
inference(backward_demodulation,[],[f7,f56]) ).
fof(f8,axiom,
mult(a,mult(b,mult(b,c))) != mult(mult(a,mult(b,b)),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP687-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 04:11:35 EDT 2024
% 0.17/0.31 % CPUTime :
% 0.17/0.31 % (4286)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33 % (4289)WARNING: value z3 for option sas not known
% 0.17/0.33 % (4289)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)
% 0.17/0.33 % (4292)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)
% 0.17/0.33 % (4291)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)
% 0.17/0.33 % (4293)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)
% 0.17/0.33 % (4288)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.33 % (4290)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.33 % (4287)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.33 TRYING [1]
% 0.17/0.33 TRYING [2]
% 0.17/0.33 TRYING [3]
% 0.17/0.33 TRYING [1]
% 0.17/0.33 TRYING [2]
% 0.17/0.33 TRYING [4]
% 0.17/0.34 TRYING [3]
% 0.17/0.34 TRYING [5]
% 0.17/0.36 TRYING [4]
% 0.17/0.37 TRYING [6]
% 0.17/0.42 TRYING [7]
% 0.17/0.42 TRYING [5]
% 0.17/0.53 TRYING [8]
% 2.30/0.66 TRYING [6]
% 3.29/0.81 TRYING [9]
% 7.62/1.43 TRYING [1]
% 7.62/1.43 TRYING [2]
% 7.62/1.43 TRYING [3]
% 7.62/1.44 TRYING [4]
% 7.62/1.45 TRYING [5]
% 8.07/1.49 TRYING [6]
% 8.78/1.58 TRYING [7]
% 9.28/1.67 TRYING [10]
% 10.43/1.81 TRYING [8]
% 10.43/1.81 TRYING [7]
% 10.43/1.85 % (4292)First to succeed.
% 10.43/1.86 % (4292)Refutation found. Thanks to Tanya!
% 10.43/1.86 % SZS status Unsatisfiable for theBenchmark
% 10.43/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 10.43/1.86 % (4292)------------------------------
% 10.43/1.86 % (4292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.43/1.86 % (4292)Termination reason: Refutation
% 10.43/1.86
% 10.43/1.86 % (4292)Memory used [KB]: 18328
% 10.43/1.86 % (4292)Time elapsed: 1.517 s
% 10.43/1.86 % (4292)Instructions burned: 2817 (million)
% 10.43/1.86 % (4292)------------------------------
% 10.43/1.86 % (4292)------------------------------
% 10.43/1.86 % (4286)Success in time 1.537 s
%------------------------------------------------------------------------------