%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:37:57 AM UTC 2026
% Result : Unsatisfiable 3.62s 1.29s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 9 unt; 2 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 96 ( 50 ~; 44 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).
fof(f8,axiom,
! [X0] : trans(trancl(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ trans(X0)
| ~ member(pair(X1,X2),X0)
| ~ member(pair(X2,X3),X0)
| member(pair(X1,X3),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X2),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ diamond(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ diamond(X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ member(pair(X1,X3),X0)
| member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
fof(f12,axiom,
diamond(r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
fof(f14,axiom,
member(pair(ya,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
fof(f15,axiom,
! [X0] :
( member(pair(ya,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h4) ).
fof(f16,axiom,
! [X0] :
( member(pair(X0,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h5) ).
fof(f17,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
fof(f18,negated_conjecture,
! [X0] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(z,X0),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c2) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( member(pair(X0,X3),trancl(X2))
| ~ member(pair(X1,X3),trancl(X2))
| ~ member(pair(X0,X1),trancl(X2)) ),
inference(resolution,[],[f9,f8]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),trancl(r))
| member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),r) ),
inference(resolution,[],[f11,f12]) ).
fof(f31,plain,
! [X0,X1] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(z,X1),trancl(r)) ),
inference(resolution,[],[f26,f18]) ).
fof(f47,plain,
! [X0] :
( member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),r)
| ~ member(pair(ya,X0),trancl(r)) ),
inference(resolution,[],[f27,f14]) ).
fof(f52,plain,
! [X0] :
( ~ member(pair(sk1(yp),X0),trancl(r))
| ~ member(pair(z,X0),trancl(r))
| ~ member(pair(y,yp),trancl(r)) ),
inference(resolution,[],[f31,f16]) ).
fof(f56,plain,
! [X0] :
( ~ member(pair(sk1(yp),X0),trancl(r))
| ~ member(pair(z,X0),trancl(r)) ),
inference(forward_subsumption_resolution,[],[f52,f17]) ).
fof(f91,plain,
! [X0] :
( ~ member(pair(sk1(yp),X0),r)
| ~ member(pair(z,X0),trancl(r)) ),
inference(resolution,[],[f56,f7]) ).
fof(f144,plain,
( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
| ~ member(pair(ya,sk1(yp)),trancl(r)) ),
inference(resolution,[],[f91,f47]) ).
fof(f147,definition,
( spl0_10
<=> member(pair(ya,sk1(yp)),trancl(r)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f148,plain,
( member(pair(ya,sk1(yp)),trancl(r))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f149,plain,
( ~ member(pair(ya,sk1(yp)),trancl(r))
| spl0_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f151,definition,
( spl0_11
<=> member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f153,plain,
( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
| spl0_11 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f144,f151,f147]) ).
fof(f174,plain,
( ~ member(pair(y,yp),trancl(r))
| spl0_10 ),
inference(resolution,[],[f149,f15]) ).
fof(f177,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f174,f17]) ).
fof(f178,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f192,plain,
( ~ member(pair(ya,sk1(yp)),trancl(r))
| ~ member(pair(ya,z),r)
| ~ diamond(r)
| spl0_11 ),
inference(resolution,[],[f153,f10]) ).
fof(f195,plain,
( ~ member(pair(ya,z),r)
| ~ diamond(r)
| ~ spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f192,f148]) ).
fof(f196,plain,
( ~ diamond(r)
| ~ spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f195,f14]) ).
fof(f197,plain,
( $false
| ~ spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f196,f12]) ).
fof(f198,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f197]) ).
cnf(s10,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f154]) ).
cnf(s12,plain,
spl0_10,
inference(sat_conversion,[],[f178]) ).
cnf(s13,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f198]) ).
cnf(s14,plain,
spl0_11,
inference(rat,[],[s13,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s10,s14,s12]) ).
fof(f199,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:31:37 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/1.29 % (4062207)Input is clausal, will run a generic CNF schedule.
% 3.62/1.29 % (4062216)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2234212211:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.62/1.29 % (4062216)Refutation not found, incomplete strategy
% 3.62/1.29 % (4062216)------------------------------
% 3.62/1.29 % (4062216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.29 % (4062216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.29 % (4062216)CaDiCaL version: 2.1.3
% 3.62/1.29 % (4062216)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.29 % (4062216)Time elapsed: 0.001 s
% 3.62/1.29 % (4062216)Peak memory usage: 88 MB
% 3.62/1.29 % (4062216)Instructions burned: 1 (million)
% 3.62/1.29 % (4062214)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3648861447:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.62/1.29 % (4062212)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4034658755:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.62/1.29 % (4062213)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3822154574:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.62/1.29 % (4062215)lrs+10_1_sil=8000:sp=occurrence:random_seed=1284043532:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.62/1.29 % (4062215)Refutation not found, incomplete strategy
% 3.62/1.29 % (4062215)------------------------------
% 3.62/1.29 % (4062215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.29 % (4062215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.29 % (4062215)CaDiCaL version: 2.1.3
% 3.62/1.29 % (4062215)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.29 % (4062215)Time elapsed: 0.002 s
% 3.62/1.29 % (4062215)Peak memory usage: 88 MB
% 3.62/1.29 % (4062215)Instructions burned: 1 (million)
% 3.62/1.29 % (4062218)dis-21_1_sil=8000:lcm=predicate:random_seed=1032473864:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.62/1.29 % (4062217)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=153616884:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.62/1.29 % (4062217)First to succeed.
% 3.62/1.29 % (4062217)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4062207"
% 3.62/1.29 % (4062218)Also succeeded, but the first one will report.
% 3.62/1.29 % (4062216)------------------------------
% 3.62/1.29 % (4062216)------------------------------
% 3.62/1.29 % (4062226)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=570961678:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.62/1.29 % (4062215)------------------------------
% 3.62/1.29 % (4062215)------------------------------
% 3.62/1.29 % (4062226)Instruction limit reached!
% 3.62/1.29 % (4062226)------------------------------
% 3.62/1.29 % (4062226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.29 % (4062226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.29 % (4062226)CaDiCaL version: 2.1.3
% 3.62/1.29 % (4062226)Termination reason: Instruction limit
% 3.62/1.29 % (4062226)Termination phase: Saturation
% 3.62/1.29 % (4062226)Time elapsed: 0.045 s
% 3.62/1.29 % (4062226)Peak memory usage: 88 MB
% 3.62/1.29 % (4062226)Instructions burned: 147 (million)
% 3.62/1.29 % (4062217)Refutation found. Thanks to Tanya!
% 3.62/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.62/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.29 % (4062217)------------------------------
% 3.62/1.29 % (4062217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.29 % (4062217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.29 % (4062217)CaDiCaL version: 2.1.3
% 3.62/1.29 % (4062217)Termination reason: Refutation
% 3.62/1.29 % (4062217)Time elapsed: 0.009 s
% 3.62/1.29 % (4062217)Peak memory usage: 89 MB
% 3.62/1.29 % (4062217)Instructions burned: 10 (million)
% 3.62/1.29 % (4062217)------------------------------
% 3.62/1.29 % (4062217)------------------------------
% 3.62/1.29 % (4062207)Success in time 0.43 s
% 3.62/1.29 % Vampire exiting
%------------------------------------------------------------------------------