%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL089-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:37:54 AM UTC 2026
% Result : Unsatisfiable 4.04s 1.34s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 26 ~; 17 |; 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; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,axiom,
! [X0,X1] :
( member(comb_app(X0,X1),comb)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).
fof(f168,axiom,
! [X0] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).
fof(f196,axiom,
! [X2,X3,X0,X1] :
( member(pair(comb_app(X2,X0),X3),rtrancl(contract))
| ~ member(X2,comb)
| ~ member(pair(comb_app(X2,X1),X3),rtrancl(contract))
| ~ member(pair(X0,X1),contract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_4) ).
fof(f197,axiom,
! [X0] : trans(rtrancl(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).
fof(f198,axiom,
! [X2,X3,X0,X1] :
( ~ trans(X0)
| ~ member(pair(X1,X2),X0)
| ~ member(pair(X2,X3),X0)
| member(pair(X1,X3),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
fof(f199,axiom,
! [X0,X1] :
( ~ member(pair(X0,X1),contract)
| member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).
fof(f200,axiom,
member(r,comb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h1) ).
fof(f203,axiom,
member(pair(y,z),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h4) ).
fof(f204,axiom,
member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h5) ).
fof(f205,negated_conjecture,
~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2c1) ).
fof(f216,plain,
member(z,comb),
inference(resolution,[],[f199,f203]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( member(pair(X0,X3),rtrancl(X2))
| ~ member(pair(X1,X3),rtrancl(X2))
| ~ member(pair(X0,X1),rtrancl(X2)) ),
inference(resolution,[],[f198,f197]) ).
fof(f566,plain,
! [X0] :
( ~ member(pair(comb_app(r,p),X0),rtrancl(contract))
| ~ member(pair(X0,comb_app(r,z)),rtrancl(contract)) ),
inference(resolution,[],[f250,f205]) ).
fof(f570,plain,
~ member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract)),
inference(resolution,[],[f566,f204]) ).
fof(f579,plain,
! [X0] :
( ~ member(r,comb)
| ~ member(pair(comb_app(r,X0),comb_app(r,z)),rtrancl(contract))
| ~ member(pair(y,X0),contract) ),
inference(resolution,[],[f570,f196]) ).
fof(f590,plain,
! [X0] :
( ~ member(pair(y,X0),contract)
| ~ member(pair(comb_app(r,X0),comb_app(r,z)),rtrancl(contract)) ),
inference(forward_subsumption_resolution,[],[f579,f200]) ).
fof(f601,plain,
~ member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract)),
inference(resolution,[],[f590,f203]) ).
fof(f668,plain,
~ member(comb_app(r,z),comb),
inference(resolution,[],[f601,f168]) ).
fof(f738,plain,
( ~ member(z,comb)
| ~ member(r,comb) ),
inference(resolution,[],[f668,f167]) ).
fof(f739,plain,
~ member(r,comb),
inference(forward_subsumption_resolution,[],[f738,f216]) ).
fof(f740,plain,
$false,
inference(forward_subsumption_resolution,[],[f739,f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL089-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:37:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 4.04/1.34 % (799855)Input is clausal, will run a generic CNF schedule.
% 4.04/1.34 % (799866)dis-21_1_sil=8000:lcm=predicate:random_seed=2354882117: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)
% 4.04/1.34 % (799861)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2574218697:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.04/1.34 % (799864)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1863866147:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.04/1.34 % (799860)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=2612744434:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.04/1.34 % (799863)lrs+10_1_sil=8000:sp=occurrence:random_seed=3089997468:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.04/1.34 % (799862)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3941024582:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.04/1.34 % (799866)Instruction limit reached!
% 4.04/1.34 % (799866)------------------------------
% 4.04/1.34 % (799866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.34 % (799866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.34 % (799866)CaDiCaL version: 2.1.3
% 4.04/1.34 % (799866)Termination reason: Instruction limit
% 4.04/1.34 % (799866)Termination phase: Saturation
% 4.04/1.34 % (799866)Time elapsed: 0.044 s
% 4.04/1.34 % (799866)Peak memory usage: 89 MB
% 4.04/1.34 % (799866)Instructions burned: 120 (million)
% 4.04/1.34 % (799863)Refutation not found, incomplete strategy
% 4.04/1.34 % (799863)------------------------------
% 4.04/1.34 % (799863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.34 % (799863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.34 % (799863)CaDiCaL version: 2.1.3
% 4.04/1.34 % (799863)Termination reason: Refutation not found, incomplete strategy
% 4.04/1.34 % (799863)Time elapsed: 0.007 s
% 4.04/1.34 % (799863)Peak memory usage: 88 MB
% 4.04/1.34 % (799863)Instructions burned: 8 (million)
% 4.04/1.34 % (799865)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2578449189:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.04/1.34 % (799865)First to succeed.
% 4.04/1.34 % (799865)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-799855"
% 4.04/1.34 % (799864)Instruction limit reached!
% 4.04/1.34 % (799864)------------------------------
% 4.04/1.34 % (799864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.34 % (799864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.34 % (799864)CaDiCaL version: 2.1.3
% 4.04/1.34 % (799864)Termination reason: Instruction limit
% 4.04/1.34 % (799864)Termination phase: Saturation
% 4.04/1.34 % (799864)Time elapsed: 0.073 s
% 4.04/1.34 % (799864)Peak memory usage: 88 MB
% 4.04/1.34 % (799864)Instructions burned: 114 (million)
% 4.04/1.34 % (799873)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=367315050:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.04/1.34 % (799873)Instruction limit reached!
% 4.04/1.34 % (799873)------------------------------
% 4.04/1.34 % (799873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.34 % (799873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.34 % (799873)CaDiCaL version: 2.1.3
% 4.04/1.34 % (799873)Termination reason: Instruction limit
% 4.04/1.34 % (799873)Termination phase: Saturation
% 4.04/1.34 % (799873)Time elapsed: 0.045 s
% 4.04/1.34 % (799873)Peak memory usage: 89 MB
% 4.04/1.34 % (799873)Instructions burned: 144 (million)
% 4.04/1.34 % (799875)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=287515399: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)
% 4.04/1.34 % (799863)------------------------------
% 4.04/1.34 % (799863)------------------------------
% 4.04/1.34 % (799875)Also succeeded, but the first one will report.
% 4.04/1.34 % (799877)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1097572363:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.04/1.34 % (799865)Refutation found. Thanks to Tanya!
% 4.04/1.34 % SZS status Unsatisfiable for theBenchmark
% 4.04/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.34 % (799865)------------------------------
% 4.04/1.34 % (799865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.34 % (799865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.34 % (799865)CaDiCaL version: 2.1.3
% 4.04/1.34 % (799865)Termination reason: Refutation
% 4.04/1.34 % (799865)Time elapsed: 0.026 s
% 4.04/1.34 % (799865)Peak memory usage: 89 MB
% 4.04/1.34 % (799865)Instructions burned: 37 (million)
% 4.04/1.34 % (799865)------------------------------
% 4.04/1.34 % (799865)------------------------------
% 4.04/1.34 % (799855)Success in time 0.48 s
% 4.04/1.34 % Vampire exiting
%------------------------------------------------------------------------------