TSTP Solution File: GRP684-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP684-1 : 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 : n015.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 12:08:37 EDT 2024
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7690,plain,
$false,
inference(subsumption_resolution,[],[f7582,f283]) ).
fof(f283,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(superposition,[],[f237,f4]) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f237,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f236,f122]) ).
fof(f122,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f102,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f102,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f93,f9]) ).
fof(f9,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f93,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f74,f3]) ).
fof(f74,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(superposition,[],[f55,f1]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f236,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f205,f33]) ).
fof(f33,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[],[f24,f31]) ).
fof(f31,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f25,f11]) ).
fof(f11,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f9]) ).
fof(f25,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f24,f15]) ).
fof(f15,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f4,f13]) ).
fof(f13,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f4,f2]) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f24,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f23,f3]) ).
fof(f23,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f205,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f143,f9]) ).
fof(f143,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f73,f2]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7582,plain,
mult(rd(a,c),c) != mult(a,ld(c,c)),
inference(superposition,[],[f22,f2803]) ).
fof(f2803,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(rd(X2,mult(X0,X1)),mult(X0,X1)),
inference(forward_demodulation,[],[f2739,f360]) ).
fof(f360,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f1,f298]) ).
fof(f298,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f297,f31]) ).
fof(f297,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f274,f190]) ).
fof(f190,plain,
! [X0] : ld(ld(X0,X0),X0) = X0,
inference(superposition,[],[f172,f49]) ).
fof(f49,plain,
! [X0] : ld(ld(X0,X0),X0) = mult(ld(X0,X0),ld(ld(X0,X0),X0)),
inference(forward_demodulation,[],[f16,f31]) ).
fof(f16,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(rd(X0,X0),ld(rd(X0,X0),X0)),
inference(superposition,[],[f3,f13]) ).
fof(f172,plain,
! [X0] : mult(ld(X0,X0),ld(ld(X0,X0),X0)) = X0,
inference(forward_demodulation,[],[f161,f35]) ).
fof(f35,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f13,f31]) ).
fof(f161,plain,
! [X0] : mult(ld(X0,X0),X0) = mult(ld(X0,X0),ld(ld(X0,X0),X0)),
inference(superposition,[],[f122,f49]) ).
fof(f274,plain,
! [X0] : rd(ld(ld(X0,X0),X0),ld(ld(X0,X0),X0)) = mult(ld(X0,X0),ld(ld(ld(X0,X0),X0),ld(ld(X0,X0),X0))),
inference(superposition,[],[f237,f49]) ).
fof(f2739,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X1,X1),ld(X1,X1))) = mult(rd(X2,mult(X0,X1)),mult(X0,X1)),
inference(superposition,[],[f2605,f1360]) ).
fof(f1360,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1359,f292]) ).
fof(f292,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f265,f170]) ).
fof(f170,plain,
! [X0] : mult(X0,ld(ld(X0,X0),ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f159,f9]) ).
fof(f159,plain,
! [X0] : mult(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f122,f50]) ).
fof(f50,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f26,f31]) ).
fof(f26,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f24,f13]) ).
fof(f265,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f237,f9]) ).
fof(f1359,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,X1)) = mult(X0,rd(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f1337,f12]) ).
fof(f12,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f4,f9]) ).
fof(f1337,plain,
! [X0,X1] : mult(X0,mult(rd(X1,ld(X1,X1)),ld(X1,X1))) = rd(mult(X0,X1),ld(X1,X1)),
inference(superposition,[],[f143,f1296]) ).
fof(f1296,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f311,f633]) ).
fof(f633,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f580,f9]) ).
fof(f580,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(superposition,[],[f486,f237]) ).
fof(f486,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(X1,ld(X2,X2))),
inference(forward_demodulation,[],[f231,f283]) ).
fof(f231,plain,
! [X2,X0,X1] : mult(X0,mult(rd(X1,X2),X2)) = mult(rd(mult(X0,X1),X2),X2),
inference(superposition,[],[f143,f4]) ).
fof(f311,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[],[f283,f237]) ).
fof(f2605,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[],[f2520,f599]) ).
fof(f599,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(X0,mult(ld(X0,X0),ld(X1,X1))),
inference(forward_demodulation,[],[f555,f283]) ).
fof(f555,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(ld(X0,X0),ld(X1,X1))),
inference(superposition,[],[f486,f9]) ).
fof(f2520,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(ld(X0,X0),ld(X2,X2))),
inference(superposition,[],[f824,f9]) ).
fof(f824,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(X1,ld(X3,X3))),
inference(forward_demodulation,[],[f147,f283]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(superposition,[],[f73,f4]) ).
fof(f22,plain,
mult(rd(a,c),c) != mult(rd(a,mult(b,c)),mult(b,c)),
inference(superposition,[],[f21,f4]) ).
fof(f21,plain,
rd(mult(a,mult(b,c)),mult(b,c)) != mult(rd(a,c),c),
inference(forward_demodulation,[],[f8,f4]) ).
fof(f8,axiom,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n015.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 Apr 30 04:44:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13899)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13902)WARNING: value z3 for option sas not known
% 0.14/0.38 % (13901)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13903)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (13902)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)
% 0.14/0.38 % (13904)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)
% 0.14/0.38 % (13906)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)
% 0.14/0.38 % (13905)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.19/0.38 % (13900)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.38 TRYING [3]
% 0.19/0.38 TRYING [1]
% 0.19/0.39 TRYING [2]
% 0.19/0.40 TRYING [4]
% 0.19/0.40 TRYING [3]
% 0.19/0.46 TRYING [4]
% 0.19/0.48 TRYING [5]
% 0.19/0.52 % (13902)First to succeed.
% 0.19/0.52 % (13906)Also succeeded, but the first one will report.
% 0.19/0.53 % (13902)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (13902)------------------------------
% 0.19/0.53 % (13902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.53 % (13902)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (13902)Memory used [KB]: 3504
% 0.19/0.53 % (13902)Time elapsed: 0.150 s
% 0.19/0.53 % (13902)Instructions burned: 414 (million)
% 0.19/0.53 % (13902)------------------------------
% 0.19/0.53 % (13902)------------------------------
% 0.19/0.53 % (13899)Success in time 0.164 s
%------------------------------------------------------------------------------