%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ROB030-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:36:18 PM UTC 2026
% Result : Unsatisfiable 4.08s 1.79s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 1 def)
% Number of atoms : 17 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
add(c,d) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion) ).
fof(f5,plain,
d = add(c,d),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
! [X0,X1] : negate(add(X0,X1)) != negate(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorption_within_negation) ).
fof(f8,definition,
( spl0_1
<=> d = add(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( d = add(c,d)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,plain,
spl0_1,
inference(avatar_split_clause,[],[f5,f8]) ).
fof(f12,plain,
( negate(d) != negate(d)
| ~ spl0_1 ),
inference(superposition,[],[f6,f10]) ).
fof(f13,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f12]) ).
fof(f14,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f13]) ).
cnf(s1,plain,
spl0_1,
inference(sat_conversion,[],[f11]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f14]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f15,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ROB030-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n009.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 23:28:00 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 4.08/1.79 % (2524293)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.08/1.79 % (2524298)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1384100262:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.08/1.79 % (2524303)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1833502066:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.08/1.79 % (2524303)First to succeed.
% 4.08/1.79 % (2524303)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2524293"
% 4.08/1.79 % (2524300)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1136840136:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.08/1.79 % (2524299)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4006111647:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.08/1.79 % (2524304)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3681155537:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.08/1.79 % (2524302)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3990006381:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.08/1.79 % (2524301)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3340278109:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.08/1.79 % (2524304)Also succeeded, but the first one will report.
% 4.08/1.79 % (2524301)Also succeeded, but the first one will report.
% 4.08/1.79 % (2524302)Also succeeded, but the first one will report.
% 4.08/1.79 % (2524303)Refutation found. Thanks to Tanya!
% 4.08/1.79 % SZS status Unsatisfiable for theBenchmark
% 4.08/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 4.08/1.79 % (2524303)------------------------------
% 4.08/1.79 % (2524303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.79 % (2524303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.79 % (2524303)CaDiCaL version: 2.1.3
% 4.08/1.79 % (2524303)Termination reason: Refutation
% 4.08/1.79 % (2524303)Time elapsed: 0.002 s
% 4.08/1.79 % (2524303)Peak memory usage: 88 MB
% 4.08/1.79 % (2524303)------------------------------
% 4.08/1.79 % (2524303)------------------------------
% 4.08/1.79 % (2524293)Success in time 0.469 s
% 4.08/1.79 % Vampire exiting
%------------------------------------------------------------------------------