%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 0.63s 1.03s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
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/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ diamond(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
fof(f12,axiom,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h1) ).
fof(f13,axiom,
member(pair(y,ya),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h2) ).
fof(f14,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c1) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(ya,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c2) ).
fof(f16,plain,
! [X0] :
( ~ member(pair(ya,X0),trancl(r))
| ~ member(pair(yp,X0),r) ),
inference(resolution,[],[f7,f15]) ).
fof(f49,plain,
! [X0,X1] :
( ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(X0,ya),r)
| ~ diamond(r)
| ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),r) ),
inference(resolution,[],[f10,f16]) ).
fof(f52,plain,
! [X0,X1] :
( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),r)
| ~ member(pair(X0,ya),r)
| ~ member(pair(X0,X1),trancl(r)) ),
inference(forward_subsumption_resolution,[],[f49,f12]) ).
fof(f111,plain,
! [X0] :
( ~ member(pair(X0,ya),r)
| ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,ya),r)
| ~ diamond(r) ),
inference(resolution,[],[f52,f11]) ).
fof(f114,plain,
! [X0] :
( ~ member(pair(X0,ya),r)
| ~ member(pair(X0,yp),trancl(r))
| ~ diamond(r) ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f115,plain,
! [X0] :
( ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,ya),r) ),
inference(forward_subsumption_resolution,[],[f114,f12]) ).
fof(f126,plain,
~ member(pair(y,ya),r),
inference(resolution,[],[f115,f14]) ).
fof(f130,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n015.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 21:38:17 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/1.03 % (3062151)Input is clausal, will run a generic CNF schedule.
% 0.63/1.03 % (3062159)lrs+10_1_sil=8000:sp=occurrence:random_seed=1282520676:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.63/1.03 % (3062159)First to succeed.
% 0.63/1.03 % (3062159)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3062151"
% 0.63/1.03 % (3062162)dis-21_1_sil=8000:lcm=predicate:random_seed=3469739229: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)
% 0.63/1.03 % (3062158)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1010629853:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.63/1.03 % (3062160)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1464411848:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.63/1.03 % (3062161)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=86316163:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.63/1.03 % (3062156)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=3896463001:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.63/1.03 % (3062157)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3900256206:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.63/1.03 % (3062160)Also succeeded, but the first one will report.
% 0.63/1.03 % (3062161)Also succeeded, but the first one will report.
% 0.63/1.03 % (3062162)Also succeeded, but the first one will report.
% 0.63/1.03 % (3062159)Refutation found. Thanks to Tanya!
% 0.63/1.03 % SZS status Unsatisfiable for theBenchmark
% 0.63/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.03 % (3062159)------------------------------
% 0.18/1.03 % (3062159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.03 % (3062159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.03 % (3062159)CaDiCaL version: 2.1.3
% 0.18/1.03 % (3062159)Termination reason: Refutation
% 0.18/1.03 % (3062159)Time elapsed: 0.002 s
% 0.18/1.03 % (3062159)Peak memory usage: 88 MB
% 0.18/1.03 % (3062159)Instructions burned: 4 (million)
% 0.18/1.03 % (3062159)------------------------------
% 0.18/1.03 % (3062159)------------------------------
% 0.18/1.03 % (3062151)Success in time 0.29 s
% 0.18/1.03 % Vampire exiting
%------------------------------------------------------------------------------