%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:49:40 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.17s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p_1_2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_goal_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ p_1_1(X0,X1)
| ~ p_2_2(X0,X1)
| p_1_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_1) ).
fof(f10,axiom,
! [X0,X1] :
( p_1_1(X0,X1)
| ~ nq_1(X0)
| ~ nq_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_1) ).
fof(f12,axiom,
! [X0,X1] :
( p_2_2(X0,X1)
| ~ nq_1(X0)
| ~ nq_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_3) ).
fof(f14,axiom,
nq_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).
fof(f16,axiom,
nq_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).
fof(f18,plain,
! [X0,X1] :
( ~ p_2_2(X0,X1)
| p_1_2(X0,X1)
| ~ nq_1(X0)
| ~ nq_2(X1) ),
inference(resolution,[],[f2,f10]) ).
fof(f20,plain,
! [X0,X1] :
( p_1_2(X0,X1)
| ~ nq_1(X0)
| ~ nq_2(X1) ),
inference(forward_subsumption_resolution,[],[f18,f12]) ).
fof(f21,plain,
( ~ nq_1(a)
| ~ nq_2(a) ),
inference(resolution,[],[f20,f1]) ).
fof(f22,plain,
~ nq_2(a),
inference(forward_subsumption_resolution,[],[f21,f14]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[],[f22,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n015.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 15:37:17 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 3.46/1.17 % (2722326)Input is clausal, will run a generic CNF schedule.
% 3.46/1.17 % (2722333)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4159618326:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.46/1.17 % (2722332)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2025142499:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.46/1.17 % (2722331)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=3040960661:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.46/1.17 % (2722336)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1249793855:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.46/1.17 % (2722337)dis-21_1_sil=8000:lcm=predicate:random_seed=1890984290: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)
% 3.46/1.17 % (2722335)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1992236529:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.46/1.17 % (2722334)lrs+10_1_sil=8000:sp=occurrence:random_seed=2526848718:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.46/1.17 % (2722334)Also succeeded, but the first one will report.
% 3.46/1.17 % (2722335)First to succeed.
% 3.46/1.17 % (2722336)Also succeeded, but the first one will report.
% 3.46/1.17 % (2722335)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2722326"
% 3.46/1.17 % (2722337)Also succeeded, but the first one will report.
% 3.46/1.17 % (2722335)Refutation found. Thanks to Tanya!
% 3.46/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.17 % (2722335)------------------------------
% 3.46/1.17 % (2722335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.17 % (2722335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.17 % (2722335)CaDiCaL version: 2.1.3
% 3.46/1.17 % (2722335)Termination reason: Refutation
% 3.46/1.17 % (2722335)Time elapsed: 0.001 s
% 3.46/1.17 % (2722335)Peak memory usage: 88 MB
% 3.46/1.17 % (2722335)------------------------------
% 3.46/1.17 % (2722335)------------------------------
% 3.46/1.17 % (2722326)Success in time 0.413 s
% 3.46/1.17 % Vampire exiting
%------------------------------------------------------------------------------