TSTP Solution File: RNG021-6 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : RNG021-6 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 14:06:51 EDT 2024
% Result : Unsatisfiable 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 17 ( 17 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f382,plain,
$false,
inference(trivial_inequality_removal,[],[f381]) ).
fof(f381,plain,
add(multiply(multiply(u,x),y),additive_inverse(add(multiply(u,multiply(x,y)),add(multiply(v,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))) != add(multiply(multiply(u,x),y),additive_inverse(add(multiply(u,multiply(x,y)),add(multiply(v,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))),
inference(forward_demodulation,[],[f380,f7]) ).
fof(f7,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f380,plain,
add(multiply(multiply(u,x),y),additive_inverse(add(multiply(u,multiply(x,y)),add(multiply(v,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))) != add(multiply(multiply(u,x),y),additive_inverse(add(multiply(u,multiply(x,y)),additive_inverse(additive_inverse(add(multiply(v,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))))),
inference(forward_demodulation,[],[f379,f311]) ).
fof(f311,plain,
! [X0,X1] : add(additive_inverse(X1),X0) = additive_inverse(add(X1,additive_inverse(X0))),
inference(superposition,[],[f186,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f186,plain,
! [X0,X1] : add(X0,additive_inverse(X1)) = additive_inverse(add(X1,additive_inverse(X0))),
inference(superposition,[],[f54,f158]) ).
fof(f158,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(forward_demodulation,[],[f157,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f157,plain,
! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_identity,additive_inverse(X0)),
inference(forward_demodulation,[],[f129,f10]) ).
fof(f129,plain,
! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_inverse(X0),additive_identity),
inference(superposition,[],[f57,f47]) ).
fof(f47,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f11,f25]) ).
fof(f25,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f5,f10]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f57,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(superposition,[],[f54,f7]) ).
fof(f54,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f42,f1]) ).
fof(f42,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f11,f25]) ).
fof(f379,plain,
add(multiply(multiply(u,x),y),additive_inverse(add(multiply(u,multiply(x,y)),add(multiply(v,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))) != add(multiply(multiply(u,x),y),additive_inverse(add(multiply(u,multiply(x,y)),additive_inverse(add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))))),
inference(forward_demodulation,[],[f378,f311]) ).
fof(f378,plain,
add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))) != add(multiply(multiply(u,x),y),additive_inverse(add(multiply(u,multiply(x,y)),add(multiply(v,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))),
inference(forward_demodulation,[],[f377,f374]) ).
fof(f374,plain,
! [X2,X0,X1] : additive_inverse(add(X0,add(X1,additive_inverse(X2)))) = additive_inverse(add(X1,add(X0,additive_inverse(X2)))),
inference(forward_demodulation,[],[f373,f11]) ).
fof(f373,plain,
! [X2,X0,X1] : additive_inverse(add(X0,add(X1,additive_inverse(X2)))) = additive_inverse(add(add(X1,X0),additive_inverse(X2))),
inference(forward_demodulation,[],[f372,f311]) ).
fof(f372,plain,
! [X2,X0,X1] : add(additive_inverse(add(X1,X0)),X2) = additive_inverse(add(X0,add(X1,additive_inverse(X2)))),
inference(forward_demodulation,[],[f371,f7]) ).
fof(f371,plain,
! [X2,X0,X1] : add(additive_inverse(add(X1,X0)),X2) = additive_inverse(add(X0,additive_inverse(additive_inverse(add(X1,additive_inverse(X2)))))),
inference(forward_demodulation,[],[f364,f311]) ).
fof(f364,plain,
! [X2,X0,X1] : add(additive_inverse(add(X1,X0)),X2) = add(additive_inverse(X0),additive_inverse(add(X1,additive_inverse(X2)))),
inference(backward_demodulation,[],[f264,f311]) ).
fof(f264,plain,
! [X2,X0,X1] : add(additive_inverse(add(X1,X0)),X2) = add(additive_inverse(X0),add(additive_inverse(X1),X2)),
inference(superposition,[],[f11,f182]) ).
fof(f182,plain,
! [X0,X1] : additive_inverse(add(X1,X0)) = add(additive_inverse(X0),additive_inverse(X1)),
inference(superposition,[],[f57,f158]) ).
fof(f377,plain,
add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))) != add(multiply(multiply(u,x),y),additive_inverse(add(multiply(v,multiply(x,y)),add(multiply(u,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))),
inference(forward_demodulation,[],[f376,f7]) ).
fof(f376,plain,
add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))) != add(multiply(multiply(u,x),y),additive_inverse(add(multiply(v,multiply(x,y)),additive_inverse(additive_inverse(add(multiply(u,multiply(x,y)),additive_inverse(multiply(multiply(v,x),y)))))))),
inference(forward_demodulation,[],[f366,f311]) ).
fof(f366,plain,
add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))) != add(multiply(multiply(u,x),y),additive_inverse(add(multiply(v,multiply(x,y)),additive_inverse(add(additive_inverse(multiply(u,multiply(x,y))),multiply(multiply(v,x),y)))))),
inference(backward_demodulation,[],[f298,f311]) ).
fof(f298,plain,
add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))) != add(multiply(multiply(u,x),y),add(additive_inverse(multiply(v,multiply(x,y))),add(additive_inverse(multiply(u,multiply(x,y))),multiply(multiply(v,x),y)))),
inference(backward_demodulation,[],[f24,f264]) ).
fof(f24,plain,
add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))) != add(multiply(multiply(u,x),y),add(additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y)))),multiply(multiply(v,x),y))),
inference(forward_demodulation,[],[f23,f10]) ).
fof(f23,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y)))))) != add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y)))),
inference(backward_demodulation,[],[f22,f10]) ).
fof(f22,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y)))))) != add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y)))))),
inference(forward_demodulation,[],[f21,f11]) ).
fof(f21,plain,
add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y)))))),
inference(backward_demodulation,[],[f20,f11]) ).
fof(f20,plain,
add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))) != add(add(multiply(multiply(u,x),y),multiply(multiply(v,x),y)),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y))))),
inference(forward_demodulation,[],[f19,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f19,plain,
add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))) != add(multiply(add(multiply(u,x),multiply(v,x)),y),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y))))),
inference(forward_demodulation,[],[f18,f9]) ).
fof(f18,plain,
add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))) != add(multiply(multiply(add(u,v),x),y),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y))))),
inference(backward_demodulation,[],[f17,f9]) ).
fof(f17,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))),
inference(definition_unfolding,[],[f16,f14,f14,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f16,axiom,
associator(add(u,v),x,y) != add(associator(u,x,y),associator(v,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : RNG021-6 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.10 % Command : run_vampire %s %d THM
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jun 18 14:21:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.32 Running first-order theorem proving
% 0.16/0.32 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (27426)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:sp=unary_first:sos=on:i=220312:kws=precedence:lwlo=on:irc=lazy_0 on theBenchmark for (3000ds/220312Mi)
% 0.16/0.38 % (27426)Refutation not found, incomplete strategy% (27426)------------------------------
% 0.16/0.38 % (27426)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.38 % (27426)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.38 % (27426)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38
% 0.16/0.38 % (27426)Memory used [KB]: 833
% 0.16/0.38 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27428)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (3000ds/143Mi)
% 0.16/0.38 % (27426)Time elapsed: 0.005 s
% 0.16/0.38 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27430)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=735:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (3000ds/735Mi)
% 0.16/0.38 % (27426)Instructions burned: 4 (million)
% 0.16/0.38 % (27426)------------------------------
% 0.16/0.38 % (27426)------------------------------
% 0.16/0.38 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27427)lrs+10_16:1_sfv=off:sil=2000:sp=reverse_frequency:urr=ec_only:br=off:i=126:doe=on:irc=lazy:to=lpo:fd=preordered:bd=preordered:fsd=on:drc=encompass_0 on theBenchmark for (3000ds/126Mi)
% 0.16/0.38 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27429)lrs+10_2:1_to=lpo:drc=encompass:sil=4000:tgt=full:sp=const_min:urr=on:nwc=5.0:i=129:rawr=on_0 on theBenchmark for (3000ds/129Mi)
% 0.16/0.38 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27425)dis+10_28091:1048576_to=lpo:drc=encompass:sil=128000:tgt=full:erd=off:cond=on:i=107869:doe=on:ins=2:av=off:dpc=on:irc=eager:s2pl=on:s2agt=5:s2at=4.0:foolp=on_0 on theBenchmark for (3000ds/107869Mi)
% 0.16/0.38 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27431)dis+10_577:524288_drc=encompass:sil=256000:sp=const_frequency:spb=units:i=214:doe=on:bd=off:av=off:dpc=on:irc=eager:uhcvi=on:ss=included:rawr=on:to=lpo:slsq=on:slsqr=8,31:s2agt=5:s2at=4.0:fdi=2_0 on theBenchmark for (3000ds/214Mi)
% 0.16/0.38 % (27428)First to succeed.
% 0.16/0.39 % (27428)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27424"
% 0.16/0.39 % (27424)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (27428)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (27428)------------------------------
% 0.16/0.39 % (27428)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.39 % (27428)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.39 % (27428)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (27428)Memory used [KB]: 889
% 0.16/0.39 % (27428)Time elapsed: 0.012 s
% 0.16/0.39 % (27428)Instructions burned: 19 (million)
% 0.16/0.39 % (27428)------------------------------
% 0.16/0.39 % (27428)------------------------------
% 0.16/0.39 % (27424)Success in time 0.061 s
%------------------------------------------------------------------------------