TSTP Solution File: SET838-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 09:19:09 EDT 2024
% Result : Unsatisfiable 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 6 unt; 0 def)
% Number of atoms : 104 ( 44 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 63 ~; 54 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,plain,
$false,
inference(avatar_sat_refutation,[],[f9,f13,f18,f24,f31,f36,f47,f55,f61,f63]) ).
fof(f63,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f48,f44,f33,f28]) ).
fof(f28,plain,
( spl0_5
<=> v_g(v_x) = v_xa(v_g(v_x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f33,plain,
( spl0_6
<=> v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f44,plain,
( spl0_7
<=> v_x = v_f(v_xa(v_g(v_x))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f48,plain,
( v_g(v_x) = v_xa(v_g(v_x))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f35,f46]) ).
fof(f46,plain,
( v_x = v_f(v_xa(v_g(v_x)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f35,plain,
( v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f61,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f42,f33,f22,f58]) ).
fof(f58,plain,
( spl0_9
<=> v_xa(v_xa(v_g(v_x))) = v_g(v_f(v_xa(v_xa(v_g(v_x))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f22,plain,
( spl0_4
<=> ! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) = v_g(v_f(v_xa(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f42,plain,
( v_xa(v_xa(v_g(v_x))) = v_g(v_f(v_xa(v_xa(v_g(v_x)))))
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f37]) ).
fof(f37,plain,
( v_xa(v_g(v_x)) != v_xa(v_g(v_x))
| v_xa(v_xa(v_g(v_x))) = v_g(v_f(v_xa(v_xa(v_g(v_x)))))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f23,f35]) ).
fof(f23,plain,
( ! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) = v_g(v_f(v_xa(X0))) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f55,plain,
( ~ spl0_8
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f41,f33,f16,f52]) ).
fof(f52,plain,
( spl0_8
<=> v_xa(v_g(v_x)) = v_xa(v_xa(v_g(v_x))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f16,plain,
( spl0_3
<=> ! [X0] :
( v_xa(X0) != X0
| v_g(v_f(X0)) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f41,plain,
( v_xa(v_g(v_x)) != v_xa(v_xa(v_g(v_x)))
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f38]) ).
fof(f38,plain,
( v_xa(v_g(v_x)) != v_xa(v_g(v_x))
| v_xa(v_g(v_x)) != v_xa(v_xa(v_g(v_x)))
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f17,f35]) ).
fof(f17,plain,
( ! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) != X0 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f47,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f40,f33,f11,f44]) ).
fof(f11,plain,
( spl0_2
<=> ! [X0] :
( v_x = X0
| v_f(v_g(X0)) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f40,plain,
( v_x = v_f(v_xa(v_g(v_x)))
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f39]) ).
fof(f39,plain,
( v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
| v_x = v_f(v_xa(v_g(v_x)))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f12,f35]) ).
fof(f12,plain,
( ! [X0] :
( v_f(v_g(X0)) != X0
| v_x = X0 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f36,plain,
( spl0_6
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f26,f22,f6,f33]) ).
fof(f6,plain,
( spl0_1
<=> v_x = v_f(v_g(v_x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f26,plain,
( v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x))))
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f25]) ).
fof(f25,plain,
( v_g(v_x) != v_g(v_x)
| v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x))))
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f23,f8]) ).
fof(f8,plain,
( v_x = v_f(v_g(v_x))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f31,plain,
( ~ spl0_5
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f20,f16,f6,f28]) ).
fof(f20,plain,
( v_g(v_x) != v_xa(v_g(v_x))
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f19]) ).
fof(f19,plain,
( v_g(v_x) != v_g(v_x)
| v_g(v_x) != v_xa(v_g(v_x))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f17,f8]) ).
fof(f24,plain,
spl0_4,
inference(avatar_split_clause,[],[f3,f22]) ).
fof(f3,axiom,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) = v_g(v_f(v_xa(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f18,plain,
spl0_3,
inference(avatar_split_clause,[],[f4,f16]) ).
fof(f4,axiom,
! [X0] :
( v_xa(X0) != X0
| v_g(v_f(X0)) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f13,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f11]) ).
fof(f2,axiom,
! [X0] :
( v_x = X0
| v_f(v_g(X0)) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f9,plain,
spl0_1,
inference(avatar_split_clause,[],[f1,f6]) ).
fof(f1,axiom,
v_x = v_f(v_g(v_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 17:05:37 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (29235)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (29238)WARNING: value z3 for option sas not known
% 0.16/0.32 % (29240)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)
% 0.16/0.32 % (29237)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.32 % (29241)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)
% 0.16/0.32 % (29239)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (29236)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 % (29242)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)
% 0.16/0.32 % (29238)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)
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 % (29240)First to succeed.
% 0.16/0.32 % (29241)Also succeeded, but the first one will report.
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 % (29242)Also succeeded, but the first one will report.
% 0.16/0.32 % (29240)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29235"
% 0.16/0.32 TRYING [3]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [4]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [4]
% 0.16/0.32 % (29240)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.32 % (29240)------------------------------
% 0.16/0.32 % (29240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.32 % (29240)Termination reason: Refutation
% 0.16/0.32
% 0.16/0.32 % (29240)Memory used [KB]: 759
% 0.16/0.32 % (29240)Time elapsed: 0.004 s
% 0.16/0.32 % (29240)Instructions burned: 4 (million)
% 0.16/0.32 % (29235)Success in time 0.015 s
%------------------------------------------------------------------------------