%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 10:16:21 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.50s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 9 unt; 2 def)
% Number of atoms : 62 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 29 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).
fof(f10,axiom,
! [X0] :
( q(X0)
| product(X0,j(X0),h(X0))
| product(j(X0),X0,h(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning3) ).
fof(f11,axiom,
! [X0] :
( ~ product(j(X0),X0,h(X0))
| ~ product(X0,j(X0),h(X0))
| q(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning4) ).
fof(f12,negated_conjecture,
~ q(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_q) ).
fof(f13,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f22,plain,
( product(identity,j(identity),h(identity))
| product(j(identity),identity,h(identity)) ),
inference(resolution,[],[f10,f12]) ).
fof(f25,definition,
( spl0_1
<=> product(j(identity),identity,h(identity)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f27,plain,
( product(j(identity),identity,h(identity))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f29,definition,
( spl0_2
<=> product(identity,j(identity),h(identity)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,plain,
( product(identity,j(identity),h(identity))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f29,f25]) ).
fof(f33,plain,
( j(identity) = h(identity)
| ~ spl0_2 ),
inference(resolution,[],[f31,f13]) ).
fof(f36,plain,
( ~ product(j(identity),identity,j(identity))
| ~ product(identity,j(identity),j(identity))
| q(identity)
| ~ spl0_2 ),
inference(superposition,[],[f11,f33]) ).
fof(f37,plain,
( ~ product(identity,j(identity),j(identity))
| q(identity)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f36,f2]) ).
fof(f38,plain,
( q(identity)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f37,f1]) ).
fof(f39,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f38,f12]) ).
fof(f40,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f59,plain,
( j(identity) = h(identity)
| ~ spl0_1 ),
inference(resolution,[],[f14,f27]) ).
fof(f62,plain,
( ~ product(j(identity),identity,j(identity))
| ~ product(identity,j(identity),j(identity))
| q(identity)
| ~ spl0_1 ),
inference(superposition,[],[f11,f59]) ).
fof(f63,plain,
( ~ product(identity,j(identity),j(identity))
| q(identity)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f62,f2]) ).
fof(f66,plain,
( q(identity)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f63,f1]) ).
fof(f67,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f66,f12]) ).
fof(f68,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f67]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f40]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f68]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f69,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 % Computer : n016.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 09:18:17 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.47 Running first-order model finding
% 0.16/0.47 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
% 0.24/0.50 % (2351003)Will run a generic schedule for satisfiability detection.
% 0.24/0.50 % (2351012)% WARNING: option uhcvi not known.
% 0.24/0.50 % (2351010)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=5204772_3000 on theBenchmark for (3000ds/0Mi)
% 0.24/0.50 % TRYING [1]
% 0.24/0.50 % TRYING [2]
% 0.24/0.50 % (2351016)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=506804114:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.24/0.50 % TRYING [3]
% 0.24/0.50 % (2351013)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1397835621:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.24/0.50 % (2351012)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3858861861:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.24/0.50 % TRYING [4]
% 0.24/0.50 % (2351016) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2351003-2351016"...
% 0.24/0.50 % (2351012) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2351003-2351012"...
% 0.24/0.50 % (2351016)...printing done.
% 0.24/0.50 % (2351012)...printing done.
% 0.24/0.50 % (2351016)Refutation found. Thanks to Tanya!
% 0.24/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.50 % (2351016)------------------------------
% 0.24/0.50 % (2351016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.50 % (2351016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.50 % (2351016)CaDiCaL version: 2.1.3
% 0.24/0.50 % (2351016)Termination reason: Refutation
% 0.24/0.50 % (2351016)Time elapsed: 0.003 s
% 0.24/0.50 % (2351016)Peak memory usage: 12 MB
% 0.24/0.50 % (2351016)Instructions burned: 2 (million)
% 0.24/0.50 % (2351003)Success in time 0.029 s
% 0.24/0.50 % Vampire exiting
%------------------------------------------------------------------------------