%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:27:40 PM UTC 2026
% Result : Unsatisfiable 5.57s 2.15s
% Output : Refutation 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 20 ~; 8 |; 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; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( at(X4,X1,s(s(X2)),drive(X4,X3))
| ~ next_to(X0,X4)
| ~ at(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( at(X0,s(X1),s(X2),buy(X3))
| ~ at(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',buy_in_city) ).
fof(f10,axiom,
next_to(cheyenne,northPlatte),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).
fof(f11,axiom,
next_to(northPlatte,grandIsland),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).
fof(f12,axiom,
next_to(grandIsland,lincoln),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).
fof(f13,axiom,
next_to(lincoln,omaha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).
fof(f14,axiom,
next_to(omaha,desMoines),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map10) ).
fof(f15,axiom,
at(cheyenne,none,start,initial_situation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).
fof(f16,negated_conjecture,
! [X0,X1] : ~ at(desMoines,s(none),X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_gat_get_there_with_bread) ).
fof(f18,plain,
! [X0,X1] : ~ at(desMoines,none,X0,X1),
inference(resolution,[],[f4,f16]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ next_to(X0,desMoines)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[],[f1,f18]) ).
fof(f22,plain,
! [X0,X1] : ~ at(omaha,none,X0,X1),
inference(resolution,[],[f21,f14]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ next_to(X0,omaha)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[],[f22,f1]) ).
fof(f36,plain,
! [X0,X1] : ~ at(lincoln,none,X0,X1),
inference(resolution,[],[f13,f27]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ next_to(X0,lincoln)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[],[f36,f1]) ).
fof(f46,plain,
! [X0,X1] : ~ at(grandIsland,none,X0,X1),
inference(resolution,[],[f43,f12]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ next_to(X0,grandIsland)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[],[f46,f1]) ).
fof(f57,plain,
! [X0,X1] : ~ at(northPlatte,none,X0,X1),
inference(resolution,[],[f50,f11]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ next_to(X0,northPlatte)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[],[f57,f1]) ).
fof(f68,plain,
! [X0,X1] : ~ at(cheyenne,none,X0,X1),
inference(resolution,[],[f61,f10]) ).
fof(f70,plain,
$false,
inference(resolution,[],[f68,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:08:55 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 5.57/2.14 % (3372006)Input is clausal, will run a generic CNF schedule.
% 5.57/2.14 % (3372016)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=890221811:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.57/2.14 % (3372017)dis-21_1_sil=8000:lcm=predicate:random_seed=313806282: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)
% 5.57/2.14 % (3372016)First to succeed.
% 5.57/2.14 % (3372016)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3372006"
% 5.57/2.14 % (3372015)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=657676901:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.57/2.14 % (3372015)Refutation not found, incomplete strategy
% 5.57/2.14 % (3372015)------------------------------
% 5.57/2.14 % (3372015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/2.14 % (3372015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/2.14 % (3372015)CaDiCaL version: 2.1.3
% 5.57/2.14 % (3372015)Termination reason: Refutation not found, incomplete strategy
% 5.57/2.15 % (3372015)Time elapsed: 0.001 s
% 5.57/2.15 % (3372015)Peak memory usage: 87 MB
% 5.57/2.15 % (3372012)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4187239035:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.57/2.15 % (3372013)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=799406195:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.57/2.15 % (3372011)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=1625606462:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.57/2.15 % (3372017)Also succeeded, but the first one will report.
% 5.57/2.15 % (3372014)lrs+10_1_sil=8000:sp=occurrence:random_seed=1572490478:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.57/2.15 % (3372014)Instruction limit reached!
% 5.57/2.15 % (3372014)------------------------------
% 5.57/2.15 % (3372014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/2.15 % (3372014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/2.15 % (3372014)CaDiCaL version: 2.1.3
% 5.57/2.15 % (3372014)Termination reason: Instruction limit
% 5.57/2.15 % (3372014)Termination phase: Saturation
% 5.57/2.15 % (3372014)Time elapsed: 0.083 s
% 5.57/2.15 % (3372014)Peak memory usage: 88 MB
% 5.57/2.15 % (3372014)Instructions burned: 108 (million)
% 5.57/2.15 % (3372015)------------------------------
% 5.57/2.15 % (3372015)------------------------------
% 5.57/2.15 % (3372016)Refutation found. Thanks to Tanya!
% 5.57/2.15 % SZS status Unsatisfiable for theBenchmark
% 5.57/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 5.57/2.15 % (3372016)------------------------------
% 5.57/2.15 % (3372016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/2.15 % (3372016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/2.15 % (3372016)CaDiCaL version: 2.1.3
% 5.57/2.15 % (3372016)Termination reason: Refutation
% 5.57/2.15 % (3372016)Time elapsed: 0.005 s
% 5.57/2.15 % (3372016)Peak memory usage: 88 MB
% 5.57/2.15 % (3372016)Instructions burned: 3 (million)
% 5.57/2.15 % (3372016)------------------------------
% 5.57/2.15 % (3372016)------------------------------
% 5.57/2.15 % (3372006)Success in time 0.707 s
% 5.57/2.15 % Vampire exiting
%------------------------------------------------------------------------------