TSTP Solution File: SET838-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 18:25:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 17 unt; 0 def)
% Number of atoms : 61 ( 43 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 20 |; 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 : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f70,f83]) ).
fof(f83,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl6_2 ),
inference(trivial_inequality_removal,[],[f79]) ).
fof(f79,plain,
( sF0 != sF0
| ~ spl6_2 ),
inference(superposition,[],[f45,f76]) ).
fof(f76,plain,
( v_xa(sF0) = sF0
| ~ spl6_2 ),
inference(superposition,[],[f75,f49]) ).
fof(f49,plain,
v_xa(sF0) = sF5(sF0),
inference(trivial_inequality_removal,[],[f46]) ).
fof(f46,plain,
( v_xa(sF0) = sF5(sF0)
| sF0 != sF0 ),
inference(superposition,[],[f14,f17]) ).
fof(f17,plain,
sF2(sF0) = sF0,
inference(forward_demodulation,[],[f16,f5]) ).
fof(f5,plain,
v_g(v_x) = sF0,
introduced(function_definition,[]) ).
fof(f16,plain,
v_g(v_x) = sF2(sF0),
inference(superposition,[],[f8,f15]) ).
fof(f15,plain,
v_x = v_f(sF0),
inference(forward_demodulation,[],[f6,f7]) ).
fof(f7,plain,
v_x = sF1,
inference(definition_folding,[],[f1,f6,f5]) ).
fof(f1,axiom,
v_x = v_f(v_g(v_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,plain,
sF1 = v_f(sF0),
introduced(function_definition,[]) ).
fof(f8,plain,
! [X0] : v_g(v_f(X0)) = sF2(X0),
introduced(function_definition,[]) ).
fof(f14,plain,
! [X0] :
( sF2(X0) != X0
| v_xa(X0) = sF5(X0) ),
inference(definition_folding,[],[f3,f13,f12,f8]) ).
fof(f12,plain,
! [X0] : v_f(v_xa(X0)) = sF4(X0),
introduced(function_definition,[]) ).
fof(f13,plain,
! [X0] : v_g(sF4(X0)) = sF5(X0),
introduced(function_definition,[]) ).
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(f75,plain,
( sF5(sF0) = sF0
| ~ spl6_2 ),
inference(forward_demodulation,[],[f72,f5]) ).
fof(f72,plain,
( v_g(v_x) = sF5(sF0)
| ~ spl6_2 ),
inference(superposition,[],[f13,f66]) ).
fof(f66,plain,
( v_x = sF4(sF0)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl6_2
<=> v_x = sF4(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f45,plain,
v_xa(sF0) != sF0,
inference(trivial_inequality_removal,[],[f42]) ).
fof(f42,plain,
( sF0 != sF0
| v_xa(sF0) != sF0 ),
inference(superposition,[],[f9,f17]) ).
fof(f9,plain,
! [X0] :
( sF2(X0) != X0
| v_xa(X0) != X0 ),
inference(definition_folding,[],[f4,f8]) ).
fof(f4,axiom,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f70,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| spl6_1 ),
inference(trivial_inequality_removal,[],[f68]) ).
fof(f68,plain,
( sF4(sF0) != sF4(sF0)
| spl6_1 ),
inference(superposition,[],[f62,f12]) ).
fof(f62,plain,
( v_f(v_xa(sF0)) != sF4(sF0)
| spl6_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl6_1
<=> v_f(v_xa(sF0)) = sF4(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f67,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f58,f64,f60]) ).
fof(f58,plain,
( v_x = sF4(sF0)
| v_f(v_xa(sF0)) != sF4(sF0) ),
inference(superposition,[],[f41,f49]) ).
fof(f41,plain,
! [X0] :
( sF4(X0) != v_f(sF5(X0))
| v_x = sF4(X0) ),
inference(superposition,[],[f11,f24]) ).
fof(f24,plain,
! [X0] : sF3(sF4(X0)) = v_f(sF5(X0)),
inference(superposition,[],[f10,f13]) ).
fof(f10,plain,
! [X0] : v_f(v_g(X0)) = sF3(X0),
introduced(function_definition,[]) ).
fof(f11,plain,
! [X0] :
( sF3(X0) != X0
| v_x = X0 ),
inference(definition_folding,[],[f2,f10]) ).
fof(f2,axiom,
! [X0] :
( v_x = X0
| v_f(v_g(X0)) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:35:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (22065)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (22074)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50 % (22074)First to succeed.
% 0.20/0.50 % (22074)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (22074)------------------------------
% 0.20/0.50 % (22074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (22074)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (22074)Memory used [KB]: 5373
% 0.20/0.50 % (22074)Time elapsed: 0.102 s
% 0.20/0.50 % (22074)Instructions burned: 3 (million)
% 0.20/0.50 % (22074)------------------------------
% 0.20/0.50 % (22074)------------------------------
% 0.20/0.50 % (22059)Success in time 0.152 s
%------------------------------------------------------------------------------