TSTP Solution File: ROB023-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ROB023-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 08:58:37 EDT 2024
% Result : Unsatisfiable 2.07s 0.62s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4894,plain,
$false,
inference(trivial_inequality_removal,[],[f4893]) ).
fof(f4893,plain,
b != b,
inference(superposition,[],[f4719,f935]) ).
fof(f935,plain,
! [X0] : negate(negate(X0)) = X0,
inference(backward_demodulation,[],[f207,f934]) ).
fof(f934,plain,
! [X0] : negate(X0) = add(negate(X0),negate(add(X0,negate(X0)))),
inference(backward_demodulation,[],[f386,f933]) ).
fof(f933,plain,
! [X0] : negate(X0) = negate(add(X0,negate(add(X0,add(negate(X0),negate(add(X0,negate(X0)))))))),
inference(backward_demodulation,[],[f409,f905]) ).
fof(f905,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(negate(add(X0,negate(X0))),X1)),
inference(superposition,[],[f2,f880]) ).
fof(f880,plain,
! [X0] : add(X0,negate(add(X0,negate(X0)))) = X0,
inference(backward_demodulation,[],[f418,f879]) ).
fof(f879,plain,
! [X0] : negate(add(negate(X0),negate(add(X0,add(negate(X0),negate(add(X0,negate(X0)))))))) = X0,
inference(forward_demodulation,[],[f867,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f867,plain,
! [X0] : negate(add(negate(X0),negate(add(add(negate(X0),negate(add(X0,negate(X0)))),X0)))) = X0,
inference(superposition,[],[f229,f207]) ).
fof(f229,plain,
! [X0] : negate(X0) = negate(add(negate(negate(X0)),negate(add(X0,negate(X0))))),
inference(forward_demodulation,[],[f228,f1]) ).
fof(f228,plain,
! [X0] : negate(X0) = negate(add(negate(negate(X0)),negate(add(negate(X0),X0)))),
inference(forward_demodulation,[],[f219,f1]) ).
fof(f219,plain,
! [X0] : negate(X0) = negate(add(negate(add(negate(X0),X0)),negate(negate(X0)))),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : add(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_x_is_x) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f418,plain,
! [X0] : add(X0,negate(add(X0,negate(X0)))) = negate(add(negate(X0),negate(add(X0,add(negate(X0),negate(add(X0,negate(X0)))))))),
inference(forward_demodulation,[],[f417,f1]) ).
fof(f417,plain,
! [X0] : add(X0,negate(add(X0,negate(X0)))) = negate(add(negate(X0),negate(add(X0,add(negate(add(X0,negate(X0))),negate(X0)))))),
inference(forward_demodulation,[],[f416,f13]) ).
fof(f13,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f416,plain,
! [X0] : add(X0,negate(add(X0,negate(X0)))) = negate(add(negate(X0),negate(add(negate(X0),add(X0,negate(add(X0,negate(X0)))))))),
inference(forward_demodulation,[],[f400,f1]) ).
fof(f400,plain,
! [X0] : add(X0,negate(add(X0,negate(X0)))) = negate(add(negate(X0),negate(add(add(X0,negate(add(X0,negate(X0)))),negate(X0))))),
inference(superposition,[],[f207,f389]) ).
fof(f389,plain,
! [X0] : negate(X0) = negate(add(X0,negate(add(X0,negate(X0))))),
inference(forward_demodulation,[],[f388,f4]) ).
fof(f388,plain,
! [X0] : negate(X0) = negate(add(X0,negate(add(X0,add(negate(X0),negate(X0)))))),
inference(forward_demodulation,[],[f387,f13]) ).
fof(f387,plain,
! [X0] : negate(X0) = negate(add(X0,negate(add(negate(X0),add(X0,negate(X0)))))),
inference(forward_demodulation,[],[f382,f1]) ).
fof(f382,plain,
! [X0] : negate(X0) = negate(add(negate(add(negate(X0),add(X0,negate(X0)))),X0)),
inference(superposition,[],[f3,f207]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f409,plain,
! [X0] : negate(X0) = negate(add(X0,add(negate(add(X0,negate(X0))),negate(add(X0,add(negate(X0),negate(add(X0,negate(X0))))))))),
inference(forward_demodulation,[],[f408,f1]) ).
fof(f408,plain,
! [X0] : negate(X0) = negate(add(X0,add(negate(add(X0,negate(X0))),negate(add(X0,add(negate(add(X0,negate(X0))),negate(X0))))))),
inference(forward_demodulation,[],[f407,f13]) ).
fof(f407,plain,
! [X0] : negate(X0) = negate(add(X0,add(negate(add(X0,negate(X0))),negate(add(negate(X0),add(X0,negate(add(X0,negate(X0))))))))),
inference(forward_demodulation,[],[f406,f1]) ).
fof(f406,plain,
! [X0] : negate(X0) = negate(add(X0,add(negate(add(X0,negate(X0))),negate(add(add(X0,negate(add(X0,negate(X0)))),negate(X0)))))),
inference(forward_demodulation,[],[f393,f2]) ).
fof(f393,plain,
! [X0] : negate(X0) = negate(add(add(X0,negate(add(X0,negate(X0)))),negate(add(add(X0,negate(add(X0,negate(X0)))),negate(X0))))),
inference(superposition,[],[f389,f389]) ).
fof(f386,plain,
! [X0] : add(negate(X0),negate(add(X0,negate(X0)))) = negate(add(X0,negate(add(X0,add(negate(X0),negate(add(X0,negate(X0)))))))),
inference(forward_demodulation,[],[f379,f1]) ).
fof(f379,plain,
! [X0] : add(negate(X0),negate(add(X0,negate(X0)))) = negate(add(X0,negate(add(add(negate(X0),negate(add(X0,negate(X0)))),X0)))),
inference(superposition,[],[f207,f207]) ).
fof(f207,plain,
! [X0] : negate(add(negate(X0),negate(add(X0,negate(X0))))) = X0,
inference(superposition,[],[f3,f4]) ).
fof(f4719,plain,
b != negate(negate(b)),
inference(superposition,[],[f6,f1838]) ).
fof(f1838,plain,
! [X0,X1] : negate(X1) = add(negate(add(X0,X1)),negate(add(X1,negate(X0)))),
inference(superposition,[],[f935,f208]) ).
fof(f208,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(X0,negate(X1))))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f6,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))),
inference(superposition,[],[f5,f1]) ).
fof(f5,axiom,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ROB023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 20:04:52 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (1475)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (1478)WARNING: value z3 for option sas not known
% 0.15/0.32 % (1480)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)
% 0.15/0.32 % (1479)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (1476)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (1482)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)
% 0.15/0.32 % (1477)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (1481)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)
% 0.15/0.32 % (1478)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.35 TRYING [5]
% 0.15/0.38 TRYING [6]
% 0.15/0.41 TRYING [5]
% 2.07/0.60 TRYING [7]
% 2.07/0.62 % (1481)First to succeed.
% 2.07/0.62 % (1481)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1475"
% 2.07/0.62 % (1481)Refutation found. Thanks to Tanya!
% 2.07/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.07/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.62 % (1481)------------------------------
% 2.07/0.62 % (1481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.07/0.62 % (1481)Termination reason: Refutation
% 2.07/0.62
% 2.07/0.62 % (1481)Memory used [KB]: 3099
% 2.07/0.62 % (1481)Time elapsed: 0.299 s
% 2.07/0.62 % (1481)Instructions burned: 665 (million)
% 2.07/0.62 % (1475)Success in time 0.297 s
%------------------------------------------------------------------------------