TSTP Solution File: SET825-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET825-2 : 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 : n008.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 18:25:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 44 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f23,f30]) ).
fof(f30,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f29]) ).
fof(f29,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f26,f3]) ).
fof(f3,axiom,
v_Q(v_n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f26,plain,
( ~ v_Q(v_n)
| ~ spl0_1 ),
inference(backward_demodulation,[],[f4,f24]) ).
fof(f24,plain,
( v_n = v_m
| ~ spl0_1 ),
inference(resolution,[],[f11,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X0,X2,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f11,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_1
<=> c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f4,axiom,
~ v_Q(v_m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f23,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f22,f13,f9]) ).
fof(f13,plain,
( spl0_2
<=> c_in(c_Pair(v_x(c_Relation_OId),v_xa(c_Relation_OId),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f22,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f21,f1]) ).
fof(f1,axiom,
! [X0,X1] : c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f21,plain,
( ~ c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f20,f1]) ).
fof(f20,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ spl0_2 ),
inference(superposition,[],[f6,f18]) ).
fof(f18,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| ~ spl0_2 ),
inference(resolution,[],[f15,f2]) ).
fof(f15,plain,
( c_in(c_Pair(v_x(c_Relation_OId),v_xa(c_Relation_OId),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f6,axiom,
! [X3] :
( ~ c_in(c_Pair(c_Suc(v_x(X3)),c_Suc(v_xa(X3)),tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f16,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f13,f9]) ).
fof(f7,plain,
( c_in(c_Pair(v_x(c_Relation_OId),v_xa(c_Relation_OId),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(resolution,[],[f1,f5]) ).
fof(f5,axiom,
! [X3] :
( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_x(X3),v_xa(X3),tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:24:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (20355)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.48 % (20363)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.48 % (20363)First to succeed.
% 0.20/0.49 % (20363)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (20363)------------------------------
% 0.20/0.49 % (20363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (20363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (20363)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (20363)Memory used [KB]: 5373
% 0.20/0.49 % (20363)Time elapsed: 0.078 s
% 0.20/0.49 % (20363)Instructions burned: 2 (million)
% 0.20/0.49 % (20363)------------------------------
% 0.20/0.49 % (20363)------------------------------
% 0.20/0.49 % (20339)Success in time 0.138 s
%------------------------------------------------------------------------------