%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO504+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:52:49 AM UTC 2026
% Result : Theorem 5.54s 1.77s
% Output : Refutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 38 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 12 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 46 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X2,X3,X4,X5)
| s_e(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_3) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f99,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f104,axiom,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_13) ).
fof(f118,conjecture,
! [X0,X1,X2] :
( ~ s_r(X0,X1,X2)
| s_r(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_2) ).
fof(f119,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ s_r(X0,X1,X2)
| s_r(X2,X1,X0) ),
inference(negated_conjecture,[status(cth)],[f118]) ).
fof(f130,axiom,
! [X0,X1,X2] :
( ( ~ s_r(X0,X1,X2)
| s_e(X0,X2,X0,s(X1,X2)) )
& ( s_r(X0,X1,X2)
| ~ s_e(X0,X2,X0,s(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(f133,plain,
? [X0,X1,X2] :
( s_r(X0,X1,X2)
& ~ s_r(X2,X1,X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f134,plain,
( s_r(sK0,sK1,sK2)
& ~ s_r(sK2,sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f133]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3)
| s_e(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X3,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f247,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f99]) ).
fof(f252,plain,
! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f104]) ).
fof(f266,plain,
~ s_r(sK2,sK1,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f267,plain,
s_r(sK0,sK1,sK2),
inference(cnf_transformation,[],[f134]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f315,plain,
! [X2,X0,X1] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f328,plain,
~ s_e(sK2,sK0,sK2,s(sK1,sK0)),
inference(unit_resulting_resolution,[],[f314,f266]) ).
fof(f329,plain,
s_e(sK0,sK2,sK0,s(sK1,sK2)),
inference(unit_resulting_resolution,[],[f315,f267]) ).
fof(f410,plain,
~ s_e(sK0,sK2,s(sK1,sK0),sK2),
inference(unit_resulting_resolution,[],[f156,f328]) ).
fof(f655,plain,
! [X0] : s_e(sK0,sK2,s(X0,sK0),s(X0,s(sK1,sK2))),
inference(unit_resulting_resolution,[],[f149,f329,f252]) ).
fof(f1451,plain,
s_e(sK0,sK2,s(sK1,sK0),sK2),
inference(superposition,[],[f655,f247]) ).
fof(f1452,plain,
$false,
inference(forward_subsumption_resolution,[],[f1451,f410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO504+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:21:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 5.54/1.77 % (2683279)Detected formulas, will run a generic FOF schedule.
% 5.54/1.77 % (2683288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3736868455:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.54/1.77 % (2683288)Instruction limit reached!
% 5.54/1.77 % (2683288)------------------------------
% 5.54/1.77 % (2683288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683288)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683288)Termination reason: Instruction limit
% 5.54/1.77 % (2683288)Termination phase: Saturation
% 5.54/1.77 % (2683288)Time elapsed: 0.037 s
% 5.54/1.77 % (2683288)Peak memory usage: 88 MB
% 5.54/1.77 % (2683288)Instructions burned: 119 (million)
% 5.54/1.77 % (2683287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2181732270:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.54/1.77 % (2683285)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=2047163919:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.54/1.77 % (2683290)dis-21_1_sil=8000:lcm=predicate:random_seed=543384003: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)
% 5.54/1.77 % (2683284)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=1968633439:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.54/1.77 % (2683286)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=688079639:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.54/1.77 % (2683289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=880326526:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.54/1.77 % (2683287)Refutation not found, incomplete strategy
% 5.54/1.77 % (2683287)------------------------------
% 5.54/1.77 % (2683287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683287)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683287)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.77 % (2683287)Time elapsed: 0.001 s
% 5.54/1.77 % (2683287)Peak memory usage: 87 MB
% 5.54/1.77 % (2683290)Instruction limit reached!
% 5.54/1.77 % (2683290)------------------------------
% 5.54/1.77 % (2683290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683290)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683290)Termination reason: Instruction limit
% 5.54/1.77 % (2683290)Termination phase: Saturation
% 5.54/1.77 % (2683290)Time elapsed: 0.082 s
% 5.54/1.77 % (2683290)Peak memory usage: 90 MB
% 5.54/1.77 % (2683290)Instructions burned: 129 (million)
% 5.54/1.77 % (2683289)Instruction limit reached!
% 5.54/1.77 % (2683289)------------------------------
% 5.54/1.77 % (2683289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683289)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683289)Termination reason: Instruction limit
% 5.54/1.77 % (2683289)Termination phase: Saturation
% 5.54/1.77 % (2683289)Time elapsed: 0.095 s
% 5.54/1.77 % (2683289)Peak memory usage: 90 MB
% 5.54/1.77 % (2683289)Instructions burned: 139 (million)
% 5.54/1.77 % (2683292)lrs+10_1_sil=8000:sp=occurrence:random_seed=2466393822:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.54/1.77 % (2683292)Instruction limit reached!
% 5.54/1.77 % (2683292)------------------------------
% 5.54/1.77 % (2683292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683292)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683292)Termination reason: Instruction limit
% 5.54/1.77 % (2683292)Termination phase: Saturation
% 5.54/1.77 % (2683292)Time elapsed: 0.095 s
% 5.54/1.77 % (2683292)Peak memory usage: 90 MB
% 5.54/1.77 % (2683292)Instructions burned: 288 (million)
% 5.54/1.77 % (2683299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2379740731:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.54/1.77 % (2683299)Refutation not found, incomplete strategy
% 5.54/1.77 % (2683299)------------------------------
% 5.54/1.77 % (2683299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683299)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683299)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.77 % (2683299)Time elapsed: 0.003 s
% 5.54/1.77 % (2683299)Peak memory usage: 88 MB
% 5.54/1.77 % (2683299)Instructions burned: 3 (million)
% 5.54/1.77 % (2683287)------------------------------
% 5.54/1.77 % (2683287)------------------------------
% 5.54/1.77 % (2683300)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1626921102:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.54/1.77 % (2683300)Refutation not found, incomplete strategy
% 5.54/1.77 % (2683300)------------------------------
% 5.54/1.77 % (2683300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683300)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683300)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.77 % (2683300)Time elapsed: 0.002 s
% 5.54/1.77 % (2683300)Peak memory usage: 88 MB
% 5.54/1.77 % (2683300)Instructions burned: 1 (million)
% 5.54/1.77 % (2683302)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=959105594:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.54/1.77 % (2683302)First to succeed.
% 5.54/1.77 % (2683302)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2683279"
% 5.54/1.77 % (2683304)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3987307346:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.54/1.77 % (2683304)Refutation not found, incomplete strategy
% 5.54/1.77 % (2683304)------------------------------
% 5.54/1.77 % (2683304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683304)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683304)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.77 % (2683304)Time elapsed: 0.004 s
% 5.54/1.77 % (2683304)Peak memory usage: 88 MB
% 5.54/1.77 % (2683304)Instructions burned: 4 (million)
% 5.54/1.77 % (2683299)------------------------------
% 5.54/1.77 % (2683299)------------------------------
% 5.54/1.77 % (2683300)------------------------------
% 5.54/1.77 % (2683300)------------------------------
% 5.54/1.77 % (2683302)Refutation found. Thanks to Tanya!
% 5.54/1.77 % SZS status Theorem for theBenchmark
% 5.54/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 5.54/1.77 % (2683302)------------------------------
% 5.54/1.77 % (2683302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.77 % (2683302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.77 % (2683302)CaDiCaL version: 2.1.3
% 5.54/1.77 % (2683302)Termination reason: Refutation
% 5.54/1.77 % (2683302)Time elapsed: 0.028 s
% 5.54/1.77 % (2683302)Peak memory usage: 89 MB
% 5.54/1.77 % (2683302)Instructions burned: 96 (million)
% 5.54/1.77 % (2683302)------------------------------
% 5.54/1.77 % (2683302)------------------------------
% 5.54/1.77 % (2683279)Success in time 0.7 s
% 5.54/1.77 % Vampire exiting
%------------------------------------------------------------------------------