TSTP Solution File: NUM844+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.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 : Fri Sep 1 20:40:38 EDT 2023
% Result : Theorem 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 24 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 3 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 (; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f75,f78]) ).
fof(f78,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f76]) ).
fof(f76,plain,
( vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411)))
| spl0_2 ),
inference(forward_demodulation,[],[f74,f50]) ).
fof(f50,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X7,X8] : vplus(X8,X7) = vplus(X7,X8),
file('/export/starexec/sandbox/tmp/tmp.SRR9Ge3UbL/Vampire---4.8_21103','ass(cond(61, 0), 0)') ).
fof(f74,plain,
( vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413))
| spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_2
<=> vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f75,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f38,f72]) ).
fof(f38,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox/tmp/tmp.SRR9Ge3UbL/Vampire---4.8_21103','holds(266, 415, 3)') ).
fof(f70,plain,
spl0_1,
inference(avatar_split_clause,[],[f46,f68]) ).
fof(f68,plain,
( spl0_1
<=> ! [X0] : vsucc(X0) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f46,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X18] : vsucc(X18) != X18,
file('/export/starexec/sandbox/tmp/tmp.SRR9Ge3UbL/Vampire---4.8_21103','ass(cond(12, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 15:00:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.39 % (21229)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.40 % (21231)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.12/0.40 % (21232)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 Vampire---4 for (569ds/0Mi)
% 0.12/0.40 % (21233)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.12/0.40 % (21234)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 Vampire---4 for (531ds/0Mi)
% 0.12/0.40 % (21235)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 Vampire---4 for (522ds/0Mi)
% 0.12/0.40 % (21230)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.12/0.40 % (21236)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 Vampire---4 for (497ds/0Mi)
% 0.12/0.40 % (21234)First to succeed.
% 0.12/0.40 TRYING [1]
% 0.12/0.40 TRYING [2]
% 0.12/0.40 % (21234)Refutation found. Thanks to Tanya!
% 0.12/0.40 % SZS status Theorem for Vampire---4
% 0.12/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.40 % (21234)------------------------------
% 0.12/0.40 % (21234)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.12/0.40 % (21234)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.12/0.40 % (21234)Termination reason: Refutation
% 0.12/0.40
% 0.12/0.40 % (21234)Memory used [KB]: 5373
% 0.12/0.40 % (21234)Time elapsed: 0.003 s
% 0.12/0.40 % (21234)------------------------------
% 0.12/0.40 % (21234)------------------------------
% 0.12/0.40 % (21229)Success in time 0.061 s
% 0.12/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------