%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ROB013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:36:15 PM UTC 2026
% Result : Unsatisfiable 2.47s 1.12s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 13 unt; 3 def)
% Number of atoms : 43 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f4,axiom,
negate(add(a,b)) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f5,negated_conjecture,
negate(add(c,negate(add(negate(b),a)))) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_result) ).
fof(f6,plain,
a != negate(add(c,negate(add(negate(b),a)))),
inference(reorient_equations,[],[f5]) ).
fof(f8,definition,
( spl0_1
<=> a = negate(add(c,negate(add(negate(b),a)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( a != negate(add(c,negate(add(negate(b),a))))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f8]) ).
fof(f13,definition,
( spl0_2
<=> negate(add(a,b)) = c ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( negate(add(a,b)) = c
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
spl0_2,
inference(avatar_split_clause,[],[f4,f13]) ).
fof(f239,plain,
( a = negate(add(c,negate(add(a,negate(b)))))
| ~ spl0_2 ),
inference(superposition,[],[f3,f15]) ).
fof(f249,definition,
( spl0_4
<=> a = negate(add(c,negate(add(a,negate(b))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f251,plain,
( a = negate(add(c,negate(add(a,negate(b)))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f239,f13,f249]) ).
fof(f254,plain,
( a != negate(add(c,negate(add(a,negate(b)))))
| spl0_1 ),
inference(superposition,[],[f10,f1]) ).
fof(f259,plain,
( a != a
| spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f254,f251]) ).
fof(f260,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f259]) ).
fof(f261,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f260]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f11]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f16]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f252]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f261]) ).
cnf(s8,plain,
spl0_4,
inference(rat,[],[s5,s2]) ).
cnf(s10,plain,
spl0_1,
inference(rat,[],[s7,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10]) ).
fof(f262,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n013.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 23:26:07 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/1.12 % (660557)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.47/1.12 % (660567)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=944636615:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.47/1.12 % (660567)First to succeed.
% 2.47/1.12 % (660567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-660557"
% 2.47/1.12 % (660565)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1936064212:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.47/1.12 % (660564)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1650788606:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.47/1.12 % (660568)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2594519894:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.47/1.12 % (660566)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3414078799:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.47/1.12 % (660562)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=3320927112:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.47/1.12 % (660563)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=1485062221:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.47/1.12 % (660565)Also succeeded, but the first one will report.
% 2.47/1.12 % (660568)Also succeeded, but the first one will report.
% 2.47/1.12 % (660566)Also succeeded, but the first one will report.
% 2.47/1.12 % (660567)Refutation found. Thanks to Tanya!
% 2.47/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.47/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.12 % (660567)------------------------------
% 2.47/1.12 % (660567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.12 % (660567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.12 % (660567)CaDiCaL version: 2.1.3
% 2.47/1.12 % (660567)Termination reason: Refutation
% 2.47/1.12 % (660567)Time elapsed: 0.004 s
% 2.47/1.12 % (660567)Peak memory usage: 89 MB
% 2.47/1.12 % (660567)Instructions burned: 8 (million)
% 2.47/1.12 % (660567)------------------------------
% 2.47/1.12 % (660567)------------------------------
% 2.47/1.12 % (660557)Success in time 0.299 s
% 2.47/1.13 % Vampire exiting
%------------------------------------------------------------------------------