%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:36:21 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.56s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',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/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
! [X0,X1] :
( negate(X0) != negate(X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',negative_equality_implies_positive_equality) ).
fof(f5,plain,
! [X0,X1] :
( negate(X1) != negate(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
fof(f7,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
inference(reorient_equations,[],[f6]) ).
fof(f75,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))),
inference(superposition,[],[f7,f1]) ).
fof(f117,plain,
! [X2,X0,X1] :
( negate(X1) != X0
| add(negate(add(X0,X2)),negate(add(X0,negate(X2)))) = X1 ),
inference(superposition,[],[f5,f3]) ).
fof(f134,plain,
! [X0,X1] : add(negate(add(negate(X0),X1)),negate(add(negate(X0),negate(X1)))) = X0,
inference(equality_resolution,[],[f117]) ).
fof(f275,plain,
! [X0,X1] : add(negate(add(X0,negate(X1))),negate(add(negate(X1),negate(X0)))) = X1,
inference(superposition,[],[f134,f1]) ).
fof(f504,plain,
b != b,
inference(superposition,[],[f75,f275]) ).
fof(f517,plain,
$false,
inference(trivial_inequality_removal,[],[f504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.43 % Computer : n002.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 23:30:02 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.48 Running first-order model finding
% 0.15/0.48 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.56 % (4005736)Will run a generic schedule for satisfiability detection.
% 0.23/0.56 % (4005742)% WARNING: option uhcvi not known.
% 0.23/0.56 % (4005744)dis+10_1_sil=32000:sp=arity:random_seed=4123141991:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.23/0.56 % (4005742)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1588224663:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.23/0.56 % (4005741)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1380180663_3000 on theBenchmark for (3000ds/0Mi)
% 0.23/0.56 % (4005743)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=977737859:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.23/0.56 % (4005745)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2676968827:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.23/0.56 % (4005747)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3660852785:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.23/0.56 % (4005746)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=577937975:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.23/0.56 % TRYING [1]
% 0.23/0.56 % TRYING [2]
% 0.23/0.56 % TRYING [3]
% 0.23/0.56 % TRYING [4]
% 0.23/0.56 % (4005743) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4005736-4005743"...
% 0.23/0.56 % (4005743)...printing done.
% 0.23/0.56 % (4005743)Refutation found. Thanks to Tanya!
% 0.23/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.56 % (4005743)------------------------------
% 0.23/0.56 % (4005743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.56 % (4005743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.56 % (4005743)CaDiCaL version: 2.1.3
% 0.23/0.56 % (4005743)Termination reason: Refutation
% 0.23/0.56 % (4005743)Time elapsed: 0.024 s
% 0.23/0.56 % (4005743)Peak memory usage: 11 MB
% 0.23/0.56 % (4005743)Instructions burned: 21 (million)
% 0.23/0.56 % (4005736)Success in time 0.062 s
% 0.23/0.56 % Vampire exiting
%------------------------------------------------------------------------------