TSTP Solution File: BOO072-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO072-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 10:42:12 EDT 2024
% Result : Unsatisfiable 0.17s 0.57s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 2
% Syntax : Number of formulae : 70 ( 70 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 15 ( 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 : 123 ( 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2737,plain,
$false,
inference(trivial_inequality_removal,[],[f2736]) ).
fof(f2736,plain,
add(b,a) != add(b,a),
inference(superposition,[],[f2,f2644]) ).
fof(f2644,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(superposition,[],[f2481,f696]) ).
fof(f696,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f592,f695]) ).
fof(f695,plain,
! [X0] : inverse(X0) = add(inverse(X0),inverse(X0)),
inference(forward_demodulation,[],[f694,f593]) ).
fof(f593,plain,
! [X0] : inverse(X0) = inverse(add(X0,X0)),
inference(backward_demodulation,[],[f564,f592]) ).
fof(f564,plain,
! [X0] : inverse(X0) = inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))),
inference(superposition,[],[f34,f501]) ).
fof(f501,plain,
! [X0] : inverse(add(inverse(add(inverse(X0),X0)),inverse(X0))) = X0,
inference(superposition,[],[f115,f7]) ).
fof(f7,plain,
! [X3,X0,X1] : inverse(X0) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X3)),inverse(X0))),X0)),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dn1) ).
fof(f115,plain,
! [X2,X0,X1] : inverse(add(inverse(add(X1,X2)),inverse(add(inverse(add(X0,X1)),X2)))) = X2,
inference(superposition,[],[f34,f64]) ).
fof(f64,plain,
! [X2,X0] : inverse(add(inverse(add(X0,X2)),inverse(add(inverse(X0),X2)))) = X2,
inference(superposition,[],[f34,f19]) ).
fof(f19,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0,
inference(superposition,[],[f1,f8]) ).
fof(f8,plain,
! [X0] : inverse(X0) = inverse(add(inverse(add(X0,inverse(X0))),X0)),
inference(superposition,[],[f7,f1]) ).
fof(f34,plain,
! [X2,X3,X0] : inverse(add(inverse(add(inverse(add(X2,X3)),X0)),inverse(add(X2,X0)))) = X0,
inference(superposition,[],[f1,f19]) ).
fof(f694,plain,
! [X0] : inverse(add(X0,X0)) = add(inverse(X0),inverse(X0)),
inference(forward_demodulation,[],[f693,f592]) ).
fof(f693,plain,
! [X0] : add(inverse(X0),inverse(X0)) = inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))),
inference(forward_demodulation,[],[f602,f593]) ).
fof(f602,plain,
! [X0] : add(inverse(X0),inverse(X0)) = inverse(add(X0,inverse(add(add(inverse(X0),inverse(X0)),add(inverse(X0),inverse(X0)))))),
inference(backward_demodulation,[],[f47,f593]) ).
fof(f47,plain,
! [X0] : add(inverse(X0),inverse(add(X0,X0))) = inverse(add(X0,inverse(add(add(inverse(X0),inverse(add(X0,X0))),add(inverse(X0),inverse(add(X0,X0))))))),
inference(superposition,[],[f33,f33]) ).
fof(f33,plain,
! [X0] : inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0,
inference(superposition,[],[f19,f19]) ).
fof(f592,plain,
! [X0] : inverse(add(inverse(X0),inverse(X0))) = X0,
inference(backward_demodulation,[],[f160,f564]) ).
fof(f160,plain,
! [X0] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))))) = X0,
inference(superposition,[],[f19,f133]) ).
fof(f133,plain,
! [X0] : inverse(X0) = inverse(add(X0,inverse(add(add(X0,inverse(X0)),inverse(X0))))),
inference(superposition,[],[f34,f106]) ).
fof(f106,plain,
! [X0] : inverse(add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0))) = X0,
inference(superposition,[],[f64,f8]) ).
fof(f2481,plain,
! [X0,X1] : add(X0,X1) = inverse(inverse(add(X1,X0))),
inference(superposition,[],[f696,f2198]) ).
fof(f2198,plain,
! [X0,X1] : inverse(add(X0,X1)) = inverse(add(X1,X0)),
inference(forward_demodulation,[],[f2145,f696]) ).
fof(f2145,plain,
! [X0,X1] : inverse(add(X0,X1)) = inverse(add(X1,inverse(inverse(X0)))),
inference(backward_demodulation,[],[f283,f2137]) ).
fof(f2137,plain,
! [X0,X1] : inverse(X0) = add(inverse(X0),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f2136,f2093]) ).
fof(f2093,plain,
! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f2025,f1225]) ).
fof(f1225,plain,
! [X0] : add(X0,inverse(add(X0,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f1224,f696]) ).
fof(f1224,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(add(X0,inverse(X0)))),
inference(superposition,[],[f696,f878]) ).
fof(f878,plain,
! [X0] : inverse(X0) = inverse(add(X0,inverse(add(X0,inverse(X0))))),
inference(forward_demodulation,[],[f608,f696]) ).
fof(f608,plain,
! [X0] : inverse(X0) = inverse(add(X0,inverse(add(inverse(inverse(X0)),inverse(X0))))),
inference(backward_demodulation,[],[f95,f593]) ).
fof(f95,plain,
! [X0] : inverse(add(X0,X0)) = inverse(add(X0,inverse(add(inverse(inverse(X0)),inverse(add(X0,X0)))))),
inference(superposition,[],[f64,f33]) ).
fof(f2025,plain,
! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = add(X0,inverse(add(X0,inverse(X0)))),
inference(backward_demodulation,[],[f2010,f2011]) ).
fof(f2011,plain,
! [X0,X1] : inverse(X0) = inverse(add(X0,inverse(add(inverse(X0),X1)))),
inference(backward_demodulation,[],[f916,f2010]) ).
fof(f916,plain,
! [X0,X1] : inverse(X0) = inverse(add(X0,inverse(add(X0,inverse(add(X0,inverse(add(inverse(X0),X1)))))))),
inference(forward_demodulation,[],[f638,f696]) ).
fof(f638,plain,
! [X0,X1] : inverse(X0) = inverse(add(X0,inverse(add(X0,inverse(add(inverse(inverse(X0)),inverse(add(inverse(X0),X1)))))))),
inference(backward_demodulation,[],[f413,f593]) ).
fof(f413,plain,
! [X0,X1] : inverse(add(X0,X0)) = inverse(add(X0,inverse(add(X0,inverse(add(inverse(inverse(add(X0,X0))),inverse(add(inverse(add(X0,X0)),X1)))))))),
inference(superposition,[],[f1,f385]) ).
fof(f385,plain,
! [X0] : inverse(add(inverse(add(X0,X0)),inverse(add(X0,X0)))) = X0,
inference(superposition,[],[f34,f109]) ).
fof(f109,plain,
! [X0] : inverse(add(X0,X0)) = inverse(add(inverse(add(X0,inverse(add(X0,X0)))),X0)),
inference(superposition,[],[f64,f33]) ).
fof(f2010,plain,
! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = add(X0,inverse(add(X0,inverse(add(X0,inverse(add(inverse(X0),X1))))))),
inference(forward_demodulation,[],[f2009,f696]) ).
fof(f2009,plain,
! [X0,X1] : add(X0,inverse(add(X0,inverse(add(X0,inverse(add(inverse(X0),X1))))))) = inverse(inverse(add(X0,inverse(add(inverse(X0),X1))))),
inference(forward_demodulation,[],[f1948,f696]) ).
fof(f1948,plain,
! [X0,X1] : inverse(inverse(add(inverse(inverse(X0)),inverse(add(inverse(X0),X1))))) = add(inverse(inverse(X0)),inverse(add(X0,inverse(add(inverse(inverse(X0)),inverse(add(inverse(X0),X1))))))),
inference(superposition,[],[f1089,f917]) ).
fof(f917,plain,
! [X0,X1] : inverse(X0) = inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))),
inference(backward_demodulation,[],[f266,f916]) ).
fof(f266,plain,
! [X0,X1] : inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))) = inverse(add(X0,inverse(add(X0,inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))))),
inference(superposition,[],[f159,f19]) ).
fof(f159,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1)))) = X1,
inference(superposition,[],[f34,f133]) ).
fof(f1089,plain,
! [X0,X1] : inverse(X1) = add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f1088,f980]) ).
fof(f980,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f979,f696]) ).
fof(f979,plain,
! [X0] : inverse(inverse(X0)) = add(X0,X0),
inference(forward_demodulation,[],[f978,f695]) ).
fof(f978,plain,
! [X0] : add(X0,X0) = inverse(add(inverse(X0),inverse(X0))),
inference(forward_demodulation,[],[f977,f593]) ).
fof(f977,plain,
! [X0] : add(X0,X0) = inverse(add(inverse(X0),inverse(add(X0,X0)))),
inference(forward_demodulation,[],[f976,f696]) ).
fof(f976,plain,
! [X0] : add(inverse(inverse(X0)),X0) = inverse(add(inverse(X0),inverse(add(inverse(inverse(X0)),X0)))),
inference(forward_demodulation,[],[f663,f593]) ).
fof(f663,plain,
! [X0] : add(inverse(inverse(X0)),X0) = inverse(add(inverse(X0),inverse(add(add(inverse(inverse(X0)),X0),add(inverse(inverse(X0)),X0))))),
inference(backward_demodulation,[],[f458,f593]) ).
fof(f458,plain,
! [X0] : add(inverse(inverse(add(X0,X0))),X0) = inverse(add(inverse(add(X0,X0)),inverse(add(add(inverse(inverse(add(X0,X0))),X0),add(inverse(inverse(add(X0,X0))),X0))))),
inference(superposition,[],[f33,f425]) ).
fof(f425,plain,
! [X0] : inverse(add(X0,X0)) = inverse(add(inverse(inverse(add(X0,X0))),X0)),
inference(superposition,[],[f33,f385]) ).
fof(f1088,plain,
! [X0,X1] : inverse(add(X1,X1)) = add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f685,f159]) ).
fof(f685,plain,
! [X0,X1] : add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1))) = inverse(add(X1,inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1)))))),
inference(backward_demodulation,[],[f301,f593]) ).
fof(f301,plain,
! [X0,X1] : add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1))) = inverse(add(X1,inverse(add(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1))),add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1))))))),
inference(superposition,[],[f33,f159]) ).
fof(f2136,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))),
inference(forward_demodulation,[],[f2125,f2093]) ).
fof(f2125,plain,
! [X2,X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = inverse(add(X0,inverse(add(add(inverse(X0),inverse(add(X0,X1))),inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),X2)))))),
inference(backward_demodulation,[],[f597,f2118]) ).
fof(f2118,plain,
! [X2,X3,X0] : inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))) = inverse(add(X2,inverse(X0))),
inference(forward_demodulation,[],[f2060,f2093]) ).
fof(f2060,plain,
! [X2,X3,X0] : inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))) = inverse(add(X2,inverse(add(X0,inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))))))),
inference(backward_demodulation,[],[f790,f2011]) ).
fof(f790,plain,
! [X2,X3,X0,X4] : inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))) = inverse(add(X2,inverse(add(X0,inverse(add(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3))))),inverse(add(inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))),X4)))))))),
inference(backward_demodulation,[],[f181,f696]) ).
fof(f181,plain,
! [X2,X3,X0,X4] : inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))) = inverse(add(X2,inverse(add(X0,inverse(add(inverse(inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3))))))),inverse(add(inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))),X4)))))))),
inference(superposition,[],[f4,f19]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))) = inverse(add(X2,inverse(add(inverse(add(X0,X1)),inverse(add(inverse(inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3))))))),inverse(add(inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))),X4)))))))),
inference(superposition,[],[f1,f1]) ).
fof(f597,plain,
! [X2,X3,X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = inverse(add(X0,inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),X2)),inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),inverse(add(add(inverse(X0),inverse(add(X0,X1))),X3)))))))),
inference(backward_demodulation,[],[f451,f592]) ).
fof(f451,plain,
! [X2,X3,X0,X1] : inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),inverse(add(inverse(X0),inverse(add(X0,X1)))))) = inverse(add(X0,inverse(add(inverse(add(inverse(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),inverse(add(inverse(X0),inverse(add(X0,X1))))))),X2)),inverse(add(inverse(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),inverse(add(inverse(X0),inverse(add(X0,X1))))))),inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),inverse(add(inverse(X0),inverse(add(X0,X1)))))),X3)))))))),
inference(superposition,[],[f4,f425]) ).
fof(f283,plain,
! [X0,X1] : inverse(add(X0,X1)) = inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,X1)))))),
inference(superposition,[],[f34,f159]) ).
fof(f2,axiom,
add(b,a) != add(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',huntinton_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO072-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 02:52:02 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (6298)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (6301)WARNING: value z3 for option sas not known
% 0.11/0.35 % (6306)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)
% 0.11/0.35 % (6299)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (6303)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (6304)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)
% 0.11/0.35 % (6305)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)
% 0.11/0.35 % (6300)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (6301)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)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.36 TRYING [4]
% 0.11/0.40 TRYING [4]
% 0.17/0.57 % (6305)First to succeed.
% 0.17/0.57 % (6305)Refutation found. Thanks to Tanya!
% 0.17/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.57 % (6305)------------------------------
% 0.17/0.57 % (6305)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.57 % (6305)Termination reason: Refutation
% 0.17/0.57
% 0.17/0.57 % (6305)Memory used [KB]: 3017
% 0.17/0.57 % (6305)Time elapsed: 0.228 s
% 0.17/0.57 % (6305)Instructions burned: 490 (million)
% 0.17/0.57 % (6305)------------------------------
% 0.17/0.57 % (6305)------------------------------
% 0.17/0.57 % (6298)Success in time 0.238 s
%------------------------------------------------------------------------------