%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:35:51 AM UTC 2026
% Result : Unsatisfiable 3.49s 1.26s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f23,negated_conjecture,
inverse(additive_identity) != multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f24,plain,
multiplicative_identity != inverse(additive_identity),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f39,plain,
multiplicative_identity = inverse(additive_identity),
inference(resolution,[],[f25,f18]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[],[f39,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:05:28 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.49/1.26 % (2017113)Input is clausal, will run a generic CNF schedule.
% 3.49/1.26 % (2017119)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4284323332:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.26 % (2017124)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2660207891:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.26 % (2017124)First to succeed.
% 3.49/1.26 % (2017124)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2017113"
% 3.49/1.26 % (2017122)lrs+10_1_sil=8000:sp=occurrence:random_seed=4289741587:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.26 % (2017123)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1931276473:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.26 % (2017120)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2876265798:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.26 % (2017121)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1346344950:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.26 % (2017123)Also succeeded, but the first one will report.
% 3.49/1.26 % (2017122)Also succeeded, but the first one will report.
% 3.49/1.26 % (2017125)dis-21_1_sil=8000:lcm=predicate:random_seed=473039770:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.49/1.26 % (2017125)Also succeeded, but the first one will report.
% 3.49/1.26 % (2017124)Refutation found. Thanks to Tanya!
% 3.49/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.26 % (2017124)------------------------------
% 3.49/1.26 % (2017124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.26 % (2017124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.26 % (2017124)CaDiCaL version: 2.1.3
% 3.49/1.26 % (2017124)Termination reason: Refutation
% 3.49/1.26 % (2017124)Time elapsed: 0.002 s
% 3.49/1.26 % (2017124)Peak memory usage: 88 MB
% 3.49/1.26 % (2017124)Instructions burned: 1 (million)
% 3.49/1.26 % (2017124)------------------------------
% 3.49/1.26 % (2017124)------------------------------
% 3.49/1.26 % (2017113)Success in time 0.407 s
% 3.49/1.26 % Vampire exiting
%------------------------------------------------------------------------------