TSTP Solution File: GRP767-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 12:09:06 EDT 2024
% Result : Unsatisfiable 26.94s 4.22s
% Output : Refutation 26.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156499,plain,
$false,
inference(trivial_inequality_removal,[],[f156449]) ).
fof(f156449,plain,
j(x1) != j(x1),
inference(superposition,[],[f21,f146591]) ).
fof(f146591,plain,
! [X0,X1] : j(X0) = product(j(j(X1)),j(product(X0,X1))),
inference(superposition,[],[f145541,f78]) ).
fof(f78,plain,
! [X0] : i(j(X0)) = X0,
inference(superposition,[],[f66,f9]) ).
fof(f9,axiom,
! [X0] : i(X0) = difference(X0,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).
fof(f66,plain,
! [X0] : difference(j(X0),one) = X0,
inference(superposition,[],[f4,f55]) ).
fof(f55,plain,
! [X0] : one = product(j(X0),X0),
inference(superposition,[],[f6,f10]) ).
fof(f10,axiom,
! [X0] : j(X0) = quotient(one,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).
fof(f6,axiom,
! [X0,X1] : product(quotient(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).
fof(f4,axiom,
! [X0,X1] : difference(X0,product(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).
fof(f145541,plain,
! [X0,X1] : product(j(j(X0)),j(product(i(X1),X0))) = X1,
inference(superposition,[],[f3,f144051]) ).
fof(f144051,plain,
! [X0,X1] : difference(j(j(X0)),X1) = j(product(i(X1),X0)),
inference(backward_demodulation,[],[f23372,f143881]) ).
fof(f143881,plain,
! [X0,X1] : difference(X0,product(eta(X0),X1)) = j(product(i(X1),X0)),
inference(superposition,[],[f76696,f8490]) ).
fof(f8490,plain,
! [X0,X1] : product(eta(X0),X1) = quotient(eta(X0),i(X1)),
inference(superposition,[],[f39,f8283]) ).
fof(f8283,plain,
! [X0,X1] : i(X1) = difference(product(eta(X0),X1),eta(X0)),
inference(superposition,[],[f1125,f1371]) ).
fof(f1371,plain,
! [X2,X0,X1] : l(eta(X0),X1,X2) = X2,
inference(superposition,[],[f1117,f3]) ).
fof(f1117,plain,
! [X2,X0,X1] : l(eta(X0),product(X0,X1),X2) = X2,
inference(forward_demodulation,[],[f1116,f4]) ).
fof(f1116,plain,
! [X2,X0,X1] : l(eta(X0),product(X0,X1),X2) = difference(product(i(i(X0)),X1),product(product(i(i(X0)),X1),X2)),
inference(forward_demodulation,[],[f1064,f677]) ).
fof(f677,plain,
! [X2,X0,X1] : product(eta(X0),product(product(X0,X1),X2)) = product(product(i(i(X0)),X1),X2),
inference(superposition,[],[f16,f13]) ).
fof(f13,axiom,
! [X0,X1] : product(i(i(X0)),X1) = product(eta(X0),product(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos13) ).
fof(f16,axiom,
! [X2,X0,X1] : product(eta(X0),product(X1,X2)) = product(product(eta(X0),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos16) ).
fof(f1064,plain,
! [X2,X0,X1] : l(eta(X0),product(X0,X1),X2) = difference(product(i(i(X0)),X1),product(eta(X0),product(product(X0,X1),X2))),
inference(superposition,[],[f17,f13]) ).
fof(f17,axiom,
! [X2,X0,X1] : difference(product(X0,X1),product(X0,product(X1,X2))) = l(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos17) ).
fof(f1125,plain,
! [X0,X1] : l(X1,X0,i(X0)) = difference(product(X1,X0),X1),
inference(forward_demodulation,[],[f1072,f1]) ).
fof(f1,axiom,
! [X0] : product(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).
fof(f1072,plain,
! [X0,X1] : l(X1,X0,i(X0)) = difference(product(X1,X0),product(X1,one)),
inference(superposition,[],[f17,f24]) ).
fof(f24,plain,
! [X0] : one = product(X0,i(X0)),
inference(superposition,[],[f3,f9]) ).
fof(f39,plain,
! [X0,X1] : quotient(X1,difference(X0,X1)) = X0,
inference(superposition,[],[f5,f3]) ).
fof(f5,axiom,
! [X0,X1] : quotient(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).
fof(f76696,plain,
! [X0,X1] : j(product(X1,X0)) = difference(X0,quotient(eta(X0),X1)),
inference(superposition,[],[f4,f33053]) ).
fof(f33053,plain,
! [X0,X1] : quotient(eta(X0),X1) = product(X0,j(product(X1,X0))),
inference(superposition,[],[f5,f32827]) ).
fof(f32827,plain,
! [X0,X1] : eta(X1) = product(product(X1,j(product(X0,X1))),X0),
inference(forward_demodulation,[],[f32826,f22]) ).
fof(f22,plain,
! [X0] : product(X0,j(X0)) = eta(X0),
inference(forward_demodulation,[],[f11,f12]) ).
fof(f12,axiom,
! [X0] : product(i(X0),X0) = eta(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).
fof(f11,axiom,
! [X0] : product(i(X0),X0) = product(X0,j(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos11) ).
fof(f32826,plain,
! [X0,X1] : product(X1,j(X1)) = product(product(X1,j(product(X0,X1))),X0),
inference(forward_demodulation,[],[f32607,f10]) ).
fof(f32607,plain,
! [X0,X1] : product(product(X1,j(product(X0,X1))),X0) = product(X1,quotient(one,X1)),
inference(superposition,[],[f1430,f55]) ).
fof(f1430,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,quotient(product(X1,product(X2,X0)),X0)),
inference(superposition,[],[f3,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : difference(X0,product(product(X0,X1),X2)) = quotient(product(X1,product(X2,X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).
fof(f23372,plain,
! [X0,X1] : difference(X0,product(eta(X0),X1)) = difference(j(j(X0)),X1),
inference(backward_demodulation,[],[f1401,f23230]) ).
fof(f23230,plain,
! [X0,X1] : quotient(product(j(X0),product(X1,X0)),X0) = difference(j(j(X0)),X1),
inference(superposition,[],[f17403,f78]) ).
fof(f17403,plain,
! [X0,X1] : quotient(product(X0,product(X1,i(X0))),i(X0)) = difference(j(X0),X1),
inference(backward_demodulation,[],[f1407,f17401]) ).
fof(f17401,plain,
! [X0,X1] : difference(i(X0),product(eta(X0),X1)) = difference(j(X0),X1),
inference(forward_demodulation,[],[f17203,f1371]) ).
fof(f17203,plain,
! [X0,X1] : difference(i(X0),product(eta(X0),X1)) = l(eta(X0),j(X0),difference(j(X0),X1)),
inference(superposition,[],[f1071,f243]) ).
fof(f243,plain,
! [X0] : i(X0) = product(eta(X0),j(X0)),
inference(forward_demodulation,[],[f233,f78]) ).
fof(f233,plain,
! [X0] : i(i(j(X0))) = product(eta(X0),j(X0)),
inference(superposition,[],[f210,f85]) ).
fof(f85,plain,
! [X0] : eta(X0) = eta(j(X0)),
inference(forward_demodulation,[],[f82,f22]) ).
fof(f82,plain,
! [X0] : product(X0,j(X0)) = eta(j(X0)),
inference(superposition,[],[f12,f78]) ).
fof(f210,plain,
! [X0] : i(i(X0)) = product(eta(X0),X0),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f195,plain,
! [X0] : product(i(i(X0)),one) = product(eta(X0),X0),
inference(superposition,[],[f13,f1]) ).
fof(f1071,plain,
! [X2,X0,X1] : l(X2,X0,difference(X0,X1)) = difference(product(X2,X0),product(X2,X1)),
inference(superposition,[],[f17,f3]) ).
fof(f1407,plain,
! [X0,X1] : quotient(product(X0,product(X1,i(X0))),i(X0)) = difference(i(X0),product(eta(X0),X1)),
inference(superposition,[],[f7,f12]) ).
fof(f1401,plain,
! [X0,X1] : quotient(product(j(X0),product(X1,X0)),X0) = difference(X0,product(eta(X0),X1)),
inference(superposition,[],[f7,f22]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,difference(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
fof(f21,axiom,
product(j(j(x0)),j(product(x1,x0))) != j(x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n024.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 : Tue Apr 30 04:26:21 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22640)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (22644)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (22641)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (22643)WARNING: value z3 for option sas not known
% 0.13/0.38 % (22642)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (22645)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)
% 0.13/0.38 % (22646)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)
% 0.13/0.38 % (22643)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)
% 0.13/0.38 % (22647)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)
% 0.13/0.38 TRYING [2]
% 0.13/0.41 TRYING [4]
% 0.20/0.43 TRYING [3]
% 0.20/0.49 TRYING [5]
% 0.20/0.50 TRYING [4]
% 2.06/0.68 TRYING [6]
% 2.53/0.75 TRYING [5]
% 5.16/1.13 TRYING [7]
% 7.95/1.48 TRYING [1]
% 7.95/1.48 TRYING [2]
% 7.95/1.49 TRYING [3]
% 8.17/1.51 TRYING [4]
% 8.95/1.63 TRYING [5]
% 8.95/1.66 TRYING [6]
% 10.92/1.97 TRYING [6]
% 13.03/2.26 TRYING [8]
% 18.66/3.01 TRYING [7]
% 26.83/4.20 % (22646)First to succeed.
% 26.94/4.22 % (22646)Refutation found. Thanks to Tanya!
% 26.94/4.22 % SZS status Unsatisfiable for theBenchmark
% 26.94/4.22 % SZS output start Proof for theBenchmark
% See solution above
% 26.94/4.22 % (22646)------------------------------
% 26.94/4.22 % (22646)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 26.94/4.22 % (22646)Termination reason: Refutation
% 26.94/4.22
% 26.94/4.22 % (22646)Memory used [KB]: 43476
% 26.94/4.22 % (22646)Time elapsed: 3.817 s
% 26.94/4.22 % (22646)Instructions burned: 7143 (million)
% 26.94/4.22 % (22646)------------------------------
% 26.94/4.22 % (22646)------------------------------
% 26.94/4.22 % (22640)Success in time 3.846 s
%------------------------------------------------------------------------------