%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 02:28:48 PM UTC 2026
% Result : Unsatisfiable 4.70s 1.29s
% Output : Refutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f2,negated_conjecture,
! [X0] : ~ seq(succ(succ(succ(zero))),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f3,axiom,
! [X0,X1] :
( ~ top(X0,X1)
| step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_top) ).
fof(f4,axiom,
! [X2,X0,X1] :
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_left) ).
fof(f5,axiom,
! [X2,X0,X1] :
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_right) ).
fof(f6,axiom,
! [X0] : seq(zero,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_zero) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ seq(X0,X1,X2)
| ~ step(X2,X3)
| seq(succ(X0),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_succ) ).
fof(f8,plain,
! [X0,X1] :
( seq(succ(zero),X0,X1)
| ~ step(X0,X1) ),
inference(resolution,[],[f7,f6]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ step(X1,X2)
| ~ step(X0,X1)
| seq(succ(succ(zero)),X0,X2) ),
inference(resolution,[],[f8,f7]) ).
fof(f10,plain,
! [X2,X0,X1] : step(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(resolution,[],[f1,f3]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ step(X0,f(X1,X2))
| seq(succ(succ(zero)),X0,f(X3,X2))
| ~ step(X1,X3) ),
inference(resolution,[],[f9,f4]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( seq(succ(succ(zero)),f(X0,X1),f(X2,X3))
| ~ step(X0,X2)
| ~ step(X1,X3) ),
inference(resolution,[],[f11,f5]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( ~ step(f(X1,X3),X4)
| ~ step(X2,X3)
| ~ step(X0,X1)
| seq(succ(succ(succ(zero))),f(X0,X2),X4) ),
inference(resolution,[],[f15,f7]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4] :
( seq(succ(succ(succ(zero))),f(X2,X0),f(f(X1,f(X4,a)),X3))
| ~ step(X2,f(X3,X4))
| ~ step(X0,f(X1,a)) ),
inference(resolution,[],[f24,f10]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ step(f(X0,f(X1,a)),f(X2,X1))
| ~ step(X2,f(X0,a)) ),
inference(resolution,[],[f38,f2]) ).
fof(f98,plain,
! [X0,X1] : ~ step(f(X0,f(X1,a)),f(f(X0,X1),a)),
inference(resolution,[],[f95,f10]) ).
fof(f109,plain,
$false,
inference(resolution,[],[f98,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n019.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 18:08:56 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 4.70/1.29 % (56676)Input is clausal, will run a generic CNF schedule.
% 4.70/1.29 % (56700)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1278225098:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 4.70/1.29 % (56701)lrs+10_1_sil=8000:sp=occurrence:random_seed=3863347151:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 4.70/1.29 % (56699)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=999970764:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 4.70/1.29 % (56701)First to succeed.
% 4.70/1.29 % (56701)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-56676"
% 4.70/1.29 % (56703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2742608032:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 4.70/1.29 % (56702)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3764396402:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 4.70/1.29 % (56698)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=230333963:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 4.70/1.29 % (56703)Also succeeded, but the first one will report.
% 4.70/1.29 % (56702)Refutation not found, incomplete strategy
% 4.70/1.29 % (56702)------------------------------
% 4.70/1.29 % (56702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.29 % (56702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.29 % (56702)CaDiCaL version: 2.1.3
% 4.70/1.29 % (56702)Termination reason: Refutation not found, incomplete strategy
% 4.70/1.29 % (56702)Time elapsed: 0.003 s
% 4.70/1.29 % (56702)Peak memory usage: 87 MB
% 4.70/1.29 % (56702)Instructions burned: 1 (million)
% 4.70/1.29 % (56704)dis-21_1_sil=8000:lcm=predicate:random_seed=1782026226:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 4.70/1.29 % (56704)Also succeeded, but the first one will report.
% 4.70/1.29 % (56701)Refutation found. Thanks to Tanya!
% 4.70/1.29 % SZS status Unsatisfiable for theBenchmark
% 4.70/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 4.70/1.29 % (56701)------------------------------
% 4.70/1.29 % (56701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.29 % (56701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.29 % (56701)CaDiCaL version: 2.1.3
% 4.70/1.29 % (56701)Termination reason: Refutation
% 4.70/1.29 % (56701)Time elapsed: 0.007 s
% 4.70/1.29 % (56701)Peak memory usage: 88 MB
% 4.70/1.29 % (56701)Instructions burned: 6 (million)
% 4.70/1.29 % (56701)------------------------------
% 4.70/1.29 % (56701)------------------------------
% 4.70/1.29 % (56676)Success in time 0.604 s
% 4.70/1.29 % Vampire exiting
%------------------------------------------------------------------------------