%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:31:19 PM UTC 2026
% Result : Unsatisfiable 3.82s 1.49s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 13 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-20 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_like_this) ).
fof(f2,axiom,
state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_configuration) ).
fof(f3,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] :
( state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X0)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',move_left) ).
fof(f4,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X19,X6,X7,X9,X4,X14,X16,X18,X17,X15,X5,X12,X13] :
( state(X19,X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',move_right) ).
fof(f5,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] :
( state(X3,X2,X1,X0,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip) ).
fof(f10,plain,
~ state(p_4,p_3,p_2,p_1,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[],[f5,f1]) ).
fof(f16,plain,
~ state(p_3,p_2,p_1,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_4),
inference(resolution,[],[f10,f4]) ).
fof(f30,plain,
~ state(p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_4),
inference(resolution,[],[f16,f5]) ).
fof(f62,plain,
~ state(p_4,p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[],[f30,f3]) ).
fof(f123,plain,
~ state(p_2,p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[],[f62,f5]) ).
fof(f247,plain,
~ state(p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_2),
inference(resolution,[],[f123,f4]) ).
fof(f492,plain,
~ state(p_3,p_4,p_5,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_2),
inference(resolution,[],[f247,f5]) ).
fof(f986,plain,
~ state(p_2,p_3,p_4,p_5,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[],[f492,f3]) ).
fof(f1971,plain,
~ state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[],[f986,f5]) ).
fof(f1974,plain,
$false,
inference(forward_subsumption_resolution,[],[f1971,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 22:37:42 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 3.82/1.49 % (3275747)Input is clausal, will run a generic CNF schedule.
% 3.82/1.49 % (3275755)lrs+10_1_sil=8000:sp=occurrence:random_seed=3394223634:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.82/1.49 % (3275754)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=101430907:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.82/1.49 % (3275752)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=1660357071:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.82/1.49 % (3275753)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3702555946:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.82/1.49 % (3275755)Instruction limit reached!
% 3.82/1.49 % (3275755)------------------------------
% 3.82/1.49 % (3275755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.49 % (3275755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.49 % (3275755)CaDiCaL version: 2.1.3
% 3.82/1.49 % (3275755)Termination reason: Instruction limit
% 3.82/1.49 % (3275755)Termination phase: Saturation
% 3.82/1.49 % (3275755)Time elapsed: 0.030 s
% 3.82/1.49 % (3275755)Peak memory usage: 89 MB
% 3.82/1.49 % (3275755)Instructions burned: 107 (million)
% 3.82/1.49 % (3275757)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2762307377:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.82/1.49 % (3275758)dis-21_1_sil=8000:lcm=predicate:random_seed=1224211014: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)
% 3.82/1.49 % (3275756)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1861267325:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.82/1.49 % (3275756)First to succeed.
% 3.82/1.49 % (3275756)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3275747"
% 3.82/1.49 % (3275757)Also succeeded, but the first one will report.
% 3.82/1.49 % (3275758)Instruction limit reached!
% 3.82/1.49 % (3275758)------------------------------
% 3.82/1.49 % (3275758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.49 % (3275758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.49 % (3275758)CaDiCaL version: 2.1.3
% 3.82/1.49 % (3275758)Termination reason: Instruction limit
% 3.82/1.49 % (3275758)Termination phase: Saturation
% 3.82/1.49 % (3275758)Time elapsed: 0.060 s
% 3.82/1.49 % (3275758)Peak memory usage: 88 MB
% 3.82/1.49 % (3275758)Instructions burned: 118 (million)
% 3.82/1.49 % (3275763)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=2359926679:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.82/1.49 % (3275763)Also succeeded, but the first one will report.
% 3.82/1.49 % (3275767)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2152930062: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)
% 3.82/1.49 % (3275767)Also succeeded, but the first one will report.
% 3.82/1.49 % (3275756)Refutation found. Thanks to Tanya!
% 3.82/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.82/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.49 % (3275756)------------------------------
% 3.82/1.49 % (3275756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.49 % (3275756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.49 % (3275756)CaDiCaL version: 2.1.3
% 3.82/1.49 % (3275756)Termination reason: Refutation
% 3.82/1.49 % (3275756)Time elapsed: 0.053 s
% 3.82/1.49 % (3275756)Peak memory usage: 89 MB
% 3.82/1.49 % (3275756)Instructions burned: 104 (million)
% 3.82/1.49 % (3275756)------------------------------
% 3.82/1.49 % (3275756)------------------------------
% 3.82/1.49 % (3275747)Success in time 0.464 s
% 3.82/1.49 % Vampire exiting
%------------------------------------------------------------------------------