TSTP Solution File: COL123-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n024.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 15:52:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 32 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f90,f93]) ).
fof(f93,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f91,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(f91,plain,
( ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_10 ),
inference(resolution,[],[f87,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(f87,plain,
( ~ c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_10
<=> 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_10])]) ).
fof(f90,plain,
( ~ spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f89,f81,f85]) ).
fof(f81,plain,
( spl0_9
<=> 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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f89,plain,
( ~ c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_9 ),
inference(resolution,[],[f83,f31]) ).
fof(f31,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(X6,X7,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f83,plain,
( ~ 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))
| spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f88,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f78,f85,f81]) ).
fof(f78,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,[],[f68,f14]) ).
fof(f14,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(f68,plain,
! [X2] :
( ~ c_in(c_Pair(v_xaa(v_xb),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f65,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(f65,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_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(global_subsumption,[],[f4,f62]) ).
fof(f62,plain,
! [X0] :
( ~ c_in(c_Pair(v_x,v_xb,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))
| ~ 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)) ),
inference(resolution,[],[f10,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(f10,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_xb,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X1,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),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,[],[f7,f2]) ).
fof(f2,axiom,
! [X2,X3,X1,X4,X5] :
( c_in(c_Pair(X5,X4,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X5,X3,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) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL123-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.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 : Mon Aug 29 17:01:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (1264)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (1248)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51 % (1259)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (1256)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (1249)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52 % (1264)Instruction limit reached!
% 0.19/0.52 % (1264)------------------------------
% 0.19/0.52 % (1264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1264)Termination reason: Unknown
% 0.19/0.52 % (1264)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (1264)Memory used [KB]: 5756
% 0.19/0.52 % (1264)Time elapsed: 0.003 s
% 0.19/0.52 % (1264)Instructions burned: 2 (million)
% 0.19/0.52 % (1264)------------------------------
% 0.19/0.52 % (1264)------------------------------
% 0.19/0.52 % (1256)Instruction limit reached!
% 0.19/0.52 % (1256)------------------------------
% 0.19/0.52 % (1256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1256)Termination reason: Unknown
% 0.19/0.52 % (1256)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (1256)Memory used [KB]: 5756
% 0.19/0.52 % (1256)Time elapsed: 0.106 s
% 0.19/0.52 % (1256)Instructions burned: 5 (million)
% 0.19/0.52 % (1256)------------------------------
% 0.19/0.52 % (1256)------------------------------
% 0.19/0.52 % (1263)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (1266)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.53 % (1272)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53 % (1252)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.53 % (1266)First to succeed.
% 0.19/0.53 % (1251)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53 % (1266)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (1266)------------------------------
% 0.19/0.53 % (1266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1266)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (1266)Memory used [KB]: 10362
% 0.19/0.53 % (1266)Time elapsed: 0.127 s
% 0.19/0.53 % (1266)Instructions burned: 4 (million)
% 0.19/0.53 % (1266)------------------------------
% 0.19/0.53 % (1266)------------------------------
% 0.19/0.53 % (1247)Success in time 0.178 s
%------------------------------------------------------------------------------