TSTP Solution File: COL123-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COL123-2 : 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 : n023.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 15:52:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 21 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(avatar_sat_refutation,[],[f184,f192]) ).
fof(f192,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f191,plain,
( $false
| spl0_16 ),
inference(subsumption_resolution,[],[f190,f4]) ).
fof(f4,axiom,
c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f190,plain,
( ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_16 ),
inference(resolution,[],[f181,f6]) ).
fof(f6,axiom,
! [X6] :
( c_in(c_Pair(v_y,v_xaa(X6),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f181,plain,
( ~ c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl0_16
<=> c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f184,plain,
~ spl0_16,
inference(avatar_split_clause,[],[f183,f179]) ).
fof(f183,plain,
~ c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(subsumption_resolution,[],[f171,f16]) ).
fof(f16,plain,
! [X0] :
( c_in(c_Pair(v_z,v_xa(v_y,X0,v_z),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f9,f3]) ).
fof(f3,axiom,
c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f9,axiom,
! [X8,X6,X7] :
( ~ c_in(c_Pair(X6,X8,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X8,v_xa(X6,X7,X8),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X6,X7,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f171,plain,
( ~ c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f90,f13]) ).
fof(f13,plain,
! [X0] :
( c_in(c_Pair(X0,v_xa(v_y,X0,v_z),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f8,f3]) ).
fof(f8,axiom,
! [X8,X6,X7] :
( ~ c_in(c_Pair(X6,X8,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X6,X7,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X7,v_xa(X6,X7,X8),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f90,plain,
! [X0] :
( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f80,f7]) ).
fof(f7,axiom,
! [X6] :
( ~ c_in(c_Pair(v_xb,X6,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f80,plain,
! [X0] :
( c_in(c_Pair(v_xb,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f67,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(X0,X1,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f67,plain,
! [X0] :
( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_xb,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f23,f4]) ).
fof(f23,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa(X0),X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f2,f5]) ).
fof(f5,axiom,
! [X6] :
( c_in(c_Pair(X6,v_xaa(X6),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2,axiom,
! [X2,X3,X1,X4,X5] :
( ~ c_in(c_Pair(X5,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| c_in(c_Pair(X5,X4,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X3,X4,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL123-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 17:19:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (31093)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (31101)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49 % (31101)First to succeed.
% 0.19/0.51 % (31101)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (31101)------------------------------
% 0.19/0.51 % (31101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31101)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (31101)Memory used [KB]: 5500
% 0.19/0.51 % (31101)Time elapsed: 0.082 s
% 0.19/0.51 % (31101)Instructions burned: 8 (million)
% 0.19/0.51 % (31101)------------------------------
% 0.19/0.51 % (31101)------------------------------
% 0.19/0.51 % (31079)Success in time 0.157 s
%------------------------------------------------------------------------------