%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:48:48 PM UTC 2026
% Result : Unsatisfiable 2.74s 1.18s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 100 ( 55 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p_10(X9,X0)
| ~ p_2(X1,X2)
| ~ p_3(X2,X3)
| ~ p_4(X3,X4)
| ~ p_5(X4,X5)
| ~ p_6(X5,X6)
| ~ p_7(X6,X7)
| ~ p_8(X7,X8)
| ~ p_9(X8,X9)
| ~ p_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjunction) ).
fof(f2,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
fof(f3,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_2) ).
fof(f4,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_3) ).
fof(f5,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
fof(f6,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_5) ).
fof(f7,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_6) ).
fof(f8,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_7) ).
fof(f9,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_8) ).
fof(f10,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_9) ).
fof(f11,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_10) ).
fof(f12,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p_9(X7,a)
| ~ p_3(X1,X2)
| ~ p_4(X2,X3)
| ~ p_5(X3,X4)
| ~ p_6(X4,X5)
| ~ p_7(X5,X6)
| ~ p_8(X6,X7)
| ~ p_2(X0,X1)
| ~ p_1(a,X0) ),
inference(resolution,[],[f1,f11]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_8(X5,a)
| ~ p_4(X1,X2)
| ~ p_5(X2,X3)
| ~ p_6(X3,X4)
| ~ p_7(X4,X5)
| ~ p_3(X0,X1)
| ~ p_2(X6,X0)
| ~ p_1(a,X6) ),
inference(resolution,[],[f12,f10]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p_7(X3,a)
| ~ p_5(X1,X2)
| ~ p_6(X2,X3)
| ~ p_4(X0,X1)
| ~ p_3(X4,X0)
| ~ p_2(X5,X4)
| ~ p_1(a,X5) ),
inference(resolution,[],[f13,f9]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4] :
( ~ p_6(X1,a)
| ~ p_5(X0,X1)
| ~ p_4(X2,X0)
| ~ p_3(X3,X2)
| ~ p_2(X4,X3)
| ~ p_1(a,X4) ),
inference(resolution,[],[f14,f8]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ p_5(X0,a)
| ~ p_4(X1,X0)
| ~ p_3(X2,X1)
| ~ p_2(X3,X2)
| ~ p_1(a,X3) ),
inference(resolution,[],[f15,f7]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ p_4(X0,a)
| ~ p_3(X1,X0)
| ~ p_2(X2,X1)
| ~ p_1(a,X2) ),
inference(resolution,[],[f16,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ p_3(X0,a)
| ~ p_2(X1,X0)
| ~ p_1(a,X1) ),
inference(resolution,[],[f17,f5]) ).
fof(f19,plain,
! [X0] :
( ~ p_2(X0,a)
| ~ p_1(a,X0) ),
inference(resolution,[],[f18,f4]) ).
fof(f20,plain,
~ p_1(a,a),
inference(resolution,[],[f19,f3]) ).
fof(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:19:40 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.74/1.18 % (2331963)Input is clausal, will run a generic CNF schedule.
% 2.74/1.18 % (2332108)lrs+10_1_sil=8000:sp=occurrence:random_seed=1270838359:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.18 % (2332108)First to succeed.
% 2.74/1.18 % (2332108)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2331963"
% 2.74/1.18 % (2332107)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=139857456:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.18 % (2332106)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=129673141:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.18 % (2332105)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=2682385193:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.18 % (2332111)dis-21_1_sil=8000:lcm=predicate:random_seed=976268114: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)
% 2.74/1.18 % (2332109)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=539568245:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.18 % (2332111)Also succeeded, but the first one will report.
% 2.74/1.18 % (2332109)Also succeeded, but the first one will report.
% 2.74/1.18 % (2332110)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=876262439:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.18 % (2332110)Also succeeded, but the first one will report.
% 2.74/1.18 % (2332108)Refutation found. Thanks to Tanya!
% 2.74/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.74/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.18 % (2332108)------------------------------
% 2.74/1.18 % (2332108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.18 % (2332108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.18 % (2332108)CaDiCaL version: 2.1.3
% 2.74/1.18 % (2332108)Termination reason: Refutation
% 2.74/1.18 % (2332108)Time elapsed: 0.001 s
% 2.74/1.18 % (2332108)Peak memory usage: 88 MB
% 2.74/1.18 % (2332108)Instructions burned: 1 (million)
% 2.74/1.18 % (2332108)------------------------------
% 2.74/1.18 % (2332108)------------------------------
% 2.74/1.18 % (2331963)Success in time 0.313 s
% 2.74/1.18 % Vampire exiting
%------------------------------------------------------------------------------