%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL089-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:38:25 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.33s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 16 unt; 1 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 29 ~; 43 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( ~ member(X0,comb)
| ~ member(X1,comb)
| member(comb_app(X0,X1),comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).
fof(f12,axiom,
! [X0] :
( ~ member(X0,comb)
| member(pair(X0,X0),rtrancl(contract)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( ~ member(pair(X0,X1),contract)
| ~ member(X2,comb)
| ~ member(pair(comb_app(X2,X1),X3),rtrancl(contract))
| member(pair(comb_app(X2,X0),X3),rtrancl(contract)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_4) ).
fof(f41,axiom,
! [X0] : trans(rtrancl(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).
fof(f42,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(f43,axiom,
! [X0,X1] :
( ~ member(pair(X0,X1),contract)
| member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).
fof(f44,axiom,
member(r,comb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h1) ).
fof(f47,axiom,
member(pair(y,z),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h4) ).
fof(f48,axiom,
member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h5) ).
fof(f49,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(f56,plain,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X1,comb)
| member(X0,comb) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f57,plain,
! [X0] :
( ~ member(pair(X0,X0),rtrancl(contract))
| member(X0,comb) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f76,plain,
! [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) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ trans(X0)
| member(pair(X1,X2),X0)
| member(pair(X2,X3),X0)
| ~ member(pair(X1,X3),X0) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f78,plain,
! [X0,X1] :
( member(pair(X0,X1),contract)
| ~ member(X1,comb) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f79,plain,
~ member(r,comb),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f82,plain,
~ member(pair(y,z),contract),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f83,plain,
~ member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f84,plain,
member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f85,plain,
~ member(z,comb),
inference(resolution,[],[f78,f82]) ).
fof(f94,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,[],[f77,f41]) ).
fof(f95,plain,
! [X0] :
( member(pair(X0,comb_app(r,z)),rtrancl(contract))
| member(pair(comb_app(r,p),X0),rtrancl(contract)) ),
inference(resolution,[],[f94,f84]) ).
fof(f98,plain,
! [X0,X1] :
( member(pair(comb_app(r,p),X0),rtrancl(contract))
| member(pair(X1,comb_app(r,z)),rtrancl(contract))
| member(pair(X0,X1),rtrancl(contract)) ),
inference(resolution,[],[f95,f94]) ).
fof(f102,plain,
! [X0] :
( member(pair(X0,comb_app(r,z)),rtrancl(contract))
| member(pair(comb_app(r,y),X0),rtrancl(contract)) ),
inference(resolution,[],[f98,f83]) ).
fof(f144,definition,
( spl0_1
<=> member(comb_app(r,z),comb) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f145,plain,
( ~ member(comb_app(r,z),comb)
| spl0_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( member(comb_app(r,z),comb)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f193,plain,
( member(z,comb)
| member(r,comb)
| ~ spl0_1 ),
inference(resolution,[],[f146,f56]) ).
fof(f194,plain,
( member(r,comb)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f193,f85]) ).
fof(f195,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f194,f79]) ).
fof(f196,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f199,plain,
( member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract))
| member(comb_app(r,z),comb) ),
inference(resolution,[],[f102,f57]) ).
fof(f217,plain,
( member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f199,f145]) ).
fof(f218,plain,
( ! [X0] :
( member(r,comb)
| member(pair(comb_app(r,X0),comb_app(r,z)),rtrancl(contract))
| member(pair(y,X0),contract) )
| spl0_1 ),
inference(resolution,[],[f217,f76]) ).
fof(f225,plain,
( ! [X0] :
( member(pair(comb_app(r,X0),comb_app(r,z)),rtrancl(contract))
| member(pair(y,X0),contract) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f218,f79]) ).
fof(f240,plain,
( member(pair(y,z),contract)
| member(comb_app(r,z),comb)
| spl0_1 ),
inference(resolution,[],[f225,f57]) ).
fof(f242,plain,
( member(comb_app(r,z),comb)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f240,f82]) ).
fof(f245,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f242,f145]) ).
fof(f246,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f245]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f196]) ).
cnf(s6,plain,
spl0_1,
inference(sat_conversion,[],[f246]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s3,s6]) ).
fof(f247,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL089-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 % Computer : n009.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Mon Sep 28 21:35:15 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.29 Running first-order model finding
% 0.25/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.33 % (3515430)Will run a generic schedule for satisfiability detection.
% 0.25/0.33 % (3515436)% WARNING: option uhcvi not known.
% 0.25/0.33 % (3515436)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2360123375:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.33 % (3515439)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=770755724:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.33 % (3515436) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3515430-3515436"...
% 0.25/0.33 % (3515436)...printing done.
% 0.25/0.33 % (3515436)Refutation found. Thanks to Tanya!
% 0.25/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.33 % (3515436)------------------------------
% 0.25/0.33 % (3515436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (3515436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (3515436)CaDiCaL version: 2.1.3
% 0.25/0.33 % (3515436)Termination reason: Refutation
% 0.25/0.33 % (3515436)Time elapsed: 0.008 s
% 0.25/0.33 % (3515436)Peak memory usage: 12 MB
% 0.25/0.33 % (3515436)Instructions burned: 12 (million)
% 0.25/0.33 % (3515430)Success in time 0.031 s
% 0.25/0.33 % Vampire exiting
%------------------------------------------------------------------------------