%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:52:48 AM UTC 2026
% Result : Theorem 0.16s 1.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f105,axiom,
! [X0,X1,X2,X3] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15a) ).
fof(f106,conjecture,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X2)
| ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(f107,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( s_t(X0,X1,X2)
| ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
inference(negated_conjecture,[status(cth)],[f106]) ).
fof(f118,plain,
? [X0,X1,X2,X3] :
( ~ s_t(X0,X1,X2)
& s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
inference(ennf_transformation,[],[f107]) ).
fof(f119,plain,
( ~ s_t(sK0,sK1,sK2)
& s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f118]) ).
fof(f232,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f99]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f239,plain,
s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)),
inference(cnf_transformation,[],[f119]) ).
fof(f240,plain,
~ s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f119]) ).
fof(f623,plain,
! [X0] : s_t(s(X0,s(sK3,sK0)),s(X0,s(sK3,sK1)),s(X0,s(sK3,sK2))),
inference(resolution,[],[f238,f239]) ).
fof(f707,plain,
s_t(s(sK3,s(sK3,sK0)),s(sK3,s(sK3,sK1)),sK2),
inference(superposition,[],[f623,f232]) ).
fof(f709,plain,
s_t(s(sK3,s(sK3,sK0)),sK1,sK2),
inference(forward_demodulation,[],[f707,f232]) ).
fof(f712,plain,
s_t(sK0,sK1,sK2),
inference(forward_demodulation,[],[f709,f232]) ).
fof(f715,plain,
$false,
inference(forward_subsumption_resolution,[],[f712,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:23:14 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.16/1.50 % (1717442)Detected formulas, will run a generic FOF schedule.
% 0.16/1.50 % (1717451)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3351181850:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.16/1.50 % (1717451)Instruction limit reached!
% 0.16/1.50 % (1717451)------------------------------
% 0.16/1.50 % (1717451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (1717451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (1717451)CaDiCaL version: 2.1.3
% 0.16/1.50 % (1717451)Termination reason: Instruction limit
% 0.16/1.50 % (1717451)Termination phase: Saturation
% 0.16/1.50 % (1717451)Time elapsed: 0.036 s
% 0.16/1.50 % (1717451)Peak memory usage: 88 MB
% 0.16/1.50 % (1717451)Instructions burned: 121 (million)
% 0.16/1.50 % (1717453)dis-21_1_sil=8000:lcm=predicate:random_seed=686624344:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.16/1.50 % (1717450)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3954301887:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.16/1.50 % (1717447)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=4182320950:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.16/1.50 % (1717449)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=878945090:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.16/1.50 % (1717448)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1575839443:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.16/1.50 % (1717452)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1301629039:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.16/1.50 % (1717452)First to succeed.
% 0.16/1.50 % (1717452)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1717442"
% 0.16/1.50 % (1717450)Instruction limit reached!
% 0.16/1.50 % (1717450)------------------------------
% 0.16/1.50 % (1717450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (1717450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (1717450)CaDiCaL version: 2.1.3
% 0.16/1.50 % (1717450)Termination reason: Instruction limit
% 0.16/1.50 % (1717450)Termination phase: Saturation
% 0.16/1.50 % (1717450)Time elapsed: 0.063 s
% 0.16/1.50 % (1717450)Peak memory usage: 89 MB
% 0.16/1.50 % (1717450)Instructions burned: 110 (million)
% 0.16/1.50 % (1717453)Instruction limit reached!
% 0.16/1.50 % (1717453)------------------------------
% 0.16/1.50 % (1717453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (1717453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (1717453)CaDiCaL version: 2.1.3
% 0.16/1.50 % (1717453)Termination reason: Instruction limit
% 0.16/1.50 % (1717453)Termination phase: Saturation
% 0.16/1.50 % (1717453)Time elapsed: 0.079 s
% 0.16/1.50 % (1717453)Peak memory usage: 90 MB
% 0.16/1.50 % (1717453)Instructions burned: 129 (million)
% 0.16/1.50 % (1717461)lrs+10_1_sil=8000:sp=occurrence:random_seed=450427882:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.16/1.50 % (1717461)Instruction limit reached!
% 0.16/1.50 % (1717461)------------------------------
% 0.16/1.50 % (1717461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (1717461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (1717461)CaDiCaL version: 2.1.3
% 0.16/1.50 % (1717461)Termination reason: Instruction limit
% 0.16/1.50 % (1717461)Termination phase: Saturation
% 0.16/1.50 % (1717461)Time elapsed: 0.092 s
% 0.16/1.50 % (1717461)Peak memory usage: 90 MB
% 0.16/1.50 % (1717461)Instructions burned: 285 (million)
% 0.16/1.50 % (1717462)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3078250279:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.16/1.50 % (1717462)Also succeeded, but the first one will report.
% 0.16/1.50 % (1717463)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3765085640:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 0.16/1.50 % (1717463)Also succeeded, but the first one will report.
% 0.16/1.50 % (1717452)Refutation found. Thanks to Tanya!
% 0.16/1.50 % SZS status Theorem for theBenchmark
% 0.16/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (1717452)------------------------------
% 0.16/1.50 % (1717452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (1717452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (1717452)CaDiCaL version: 2.1.3
% 0.16/1.50 % (1717452)Termination reason: Refutation
% 0.16/1.50 % (1717452)Time elapsed: 0.017 s
% 0.16/1.50 % (1717452)Peak memory usage: 89 MB
% 0.16/1.50 % (1717452)Instructions burned: 24 (million)
% 0.16/1.50 % (1717452)------------------------------
% 0.16/1.50 % (1717452)------------------------------
% 0.16/1.50 % (1717442)Success in time 0.449 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------