%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL100-2 : 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 : n018.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 4.78s 1.45s
% Output : Refutation 4.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,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(f164,axiom,
! [X0] : trans(trancl(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ member(pair(X2,X3),X0)
| ~ trans(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
fof(f166,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(f167,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/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
fof(f168,axiom,
diamond(r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
fof(f170,axiom,
member(pair(ya,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
fof(f171,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(f172,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(f173,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
fof(f174,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(f183,plain,
member(pair(ya,sk1(yp)),trancl(r)),
inference(unit_resulting_resolution,[],[f171,f173]) ).
fof(f185,plain,
member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(unit_resulting_resolution,[],[f166,f168,f170,f183]) ).
fof(f186,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r),
inference(unit_resulting_resolution,[],[f167,f168,f170,f183]) ).
fof(f189,plain,
member(pair(yp,sk1(yp)),trancl(r)),
inference(unit_resulting_resolution,[],[f172,f173]) ).
fof(f656,plain,
~ member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(unit_resulting_resolution,[],[f174,f185]) ).
fof(f665,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(unit_resulting_resolution,[],[f163,f186]) ).
fof(f694,plain,
~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(unit_resulting_resolution,[],[f165,f164,f189,f656]) ).
fof(f702,plain,
$false,
inference(forward_subsumption_resolution,[],[f694,f665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL100-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:39:11 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
% 4.78/1.45 % (3819053)Input is clausal, will run a generic CNF schedule.
% 4.78/1.45 % (3819061)lrs+10_1_sil=8000:sp=occurrence:random_seed=2020850784:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.78/1.45 % (3819061)Refutation not found, incomplete strategy
% 4.78/1.45 % (3819061)------------------------------
% 4.78/1.45 % (3819061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.45 % (3819061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.45 % (3819061)CaDiCaL version: 2.1.3
% 4.78/1.45 % (3819061)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.45 % (3819061)Time elapsed: 0.001 s
% 4.78/1.45 % (3819061)Peak memory usage: 88 MB
% 4.78/1.45 % (3819061)Instructions burned: 1 (million)
% 4.78/1.45 % (3819064)dis-21_1_sil=8000:lcm=predicate:random_seed=2192031508: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)
% 4.78/1.45 % (3819058)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=547846112:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.78/1.45 % (3819063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2644341796:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.78/1.45 % (3819059)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1331966643:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.78/1.45 % (3819062)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=72012797:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.78/1.45 % (3819060)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=956827658:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.78/1.45 % (3819062)Refutation not found, incomplete strategy
% 4.78/1.45 % (3819062)------------------------------
% 4.78/1.45 % (3819062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.45 % (3819062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.45 % (3819062)CaDiCaL version: 2.1.3
% 4.78/1.45 % (3819062)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.45 % (3819062)Time elapsed: 0.003 s
% 4.78/1.45 % (3819062)Peak memory usage: 88 MB
% 4.78/1.45 % (3819062)Instructions burned: 2 (million)
% 4.78/1.45 % (3819064)Instruction limit reached!
% 4.78/1.45 % (3819064)------------------------------
% 4.78/1.45 % (3819064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.45 % (3819064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.45 % (3819064)CaDiCaL version: 2.1.3
% 4.78/1.45 % (3819064)Termination reason: Instruction limit
% 4.78/1.45 % (3819064)Termination phase: Saturation
% 4.78/1.45 % (3819064)Time elapsed: 0.080 s
% 4.78/1.45 % (3819064)Peak memory usage: 89 MB
% 4.78/1.45 % (3819064)Instructions burned: 118 (million)
% 4.78/1.45 % (3819061)------------------------------
% 4.78/1.45 % (3819061)------------------------------
% 4.78/1.45 % (3819063)Instruction limit reached!
% 4.78/1.45 % (3819063)------------------------------
% 4.78/1.45 % (3819063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.45 % (3819063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.45 % (3819063)CaDiCaL version: 2.1.3
% 4.78/1.45 % (3819063)Termination reason: Instruction limit
% 4.78/1.45 % (3819063)Termination phase: Saturation
% 4.78/1.45 % (3819063)Time elapsed: 0.121 s
% 4.78/1.45 % (3819063)Peak memory usage: 89 MB
% 4.78/1.45 % (3819063)Instructions burned: 181 (million)
% 4.78/1.45 % (3819072)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=3454276085:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.78/1.45 % (3819073)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2185535736:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.78/1.45 % (3819062)------------------------------
% 4.78/1.45 % (3819062)------------------------------
% 4.78/1.45 % (3819073)First to succeed.
% 4.78/1.45 % (3819073)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3819053"
% 4.78/1.45 % (3819074)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3186817982:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.78/1.45 % (3819074)Refutation not found, incomplete strategy
% 4.78/1.45 % (3819074)------------------------------
% 4.78/1.45 % (3819074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.45 % (3819074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.45 % (3819074)CaDiCaL version: 2.1.3
% 4.78/1.45 % (3819074)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.45 % (3819074)Time elapsed: 0.004 s
% 4.78/1.45 % (3819074)Peak memory usage: 88 MB
% 4.78/1.45 % (3819074)Instructions burned: 4 (million)
% 4.78/1.45 % (3819072)Instruction limit reached!
% 4.78/1.45 % (3819072)------------------------------
% 4.78/1.45 % (3819072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.45 % (3819072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.45 % (3819072)CaDiCaL version: 2.1.3
% 4.78/1.45 % (3819072)Termination reason: Instruction limit
% 4.78/1.45 % (3819072)Termination phase: Saturation
% 4.78/1.45 % (3819072)Time elapsed: 0.085 s
% 4.78/1.45 % (3819072)Peak memory usage: 88 MB
% 4.78/1.45 % (3819072)Instructions burned: 144 (million)
% 4.78/1.45 % (3819073)Refutation found. Thanks to Tanya!
% 4.78/1.45 % SZS status Unsatisfiable for theBenchmark
% 4.78/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 4.78/1.45 % (3819073)------------------------------
% 4.78/1.45 % (3819073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.45 % (3819073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.45 % (3819073)CaDiCaL version: 2.1.3
% 4.78/1.45 % (3819073)Termination reason: Refutation
% 4.78/1.45 % (3819073)Time elapsed: 0.027 s
% 4.78/1.45 % (3819073)Peak memory usage: 89 MB
% 4.78/1.45 % (3819073)Instructions burned: 87 (million)
% 4.78/1.45 % (3819073)------------------------------
% 4.78/1.45 % (3819073)------------------------------
% 4.78/1.45 % (3819053)Success in time 0.588 s
% 4.78/1.45 % Vampire exiting
%------------------------------------------------------------------------------