%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO016-2 : 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 : n007.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 09:36:11 AM UTC 2026
% Result : Unsatisfiable 0.36s 0.46s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity4) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
fof(f8,axiom,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse2) ).
fof(f9,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
fof(f17,axiom,
multiply(x,y) = z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_y) ).
fof(f18,negated_conjecture,
add(x,z) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum) ).
fof(f19,plain,
x != add(x,z),
inference(reorient_equations,[],[f18]) ).
fof(f71,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),X1) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f9]) ).
fof(f76,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f71,f13]) ).
fof(f83,plain,
! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f76,f1]) ).
fof(f119,plain,
! [X0] : add(X0,inverse(X0)) = add(multiplicative_identity,X0),
inference(superposition,[],[f83,f14]) ).
fof(f131,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f119,f7]) ).
fof(f197,plain,
! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f6,f13]) ).
fof(f237,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f197,f131]) ).
fof(f241,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f237,f13]) ).
fof(f303,plain,
x = add(x,z),
inference(superposition,[],[f241,f17]) ).
fof(f320,plain,
$false,
inference(forward_subsumption_resolution,[],[f303,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO016-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.29/0.31 % Computer : n007.cluster.edu
% 0.29/0.31 % Model : x86_64 x86_64
% 0.29/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.29/0.31 % Memory : 8046.5625MB
% 0.29/0.31 % OS : Linux 6.8.0-71-generic
% 0.29/0.31 % CPULimit : 300
% 0.29/0.31 % WCLimit : 300
% 0.29/0.31 % DateTime : Mon Sep 28 21:02:10 UTC 2026
% 0.29/0.31 % CPUTime :
% 0.29/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.29/0.37 Running first-order model finding
% 0.29/0.37 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
% 0.36/0.46 % (2822005)Will run a generic schedule for satisfiability detection.
% 0.36/0.46 % (2822010)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3030137814_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.46 % TRYING [1]
% 0.36/0.46 % TRYING [2]
% 0.36/0.46 % TRYING [3]
% 0.36/0.46 % TRYING [4]
% 0.36/0.46 % (2822011)% WARNING: option uhcvi not known.
% 0.36/0.46 % (2822014)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=417216788:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.46 % (2822013)dis+10_1_sil=32000:sp=arity:random_seed=2434256273:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.46 % (2822011)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2122995862:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.46 % (2822016)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3405180578:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.46 % (2822012)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3119957279:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.46 % (2822015)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=166427230:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.46 % TRYING [5]
% 0.36/0.46 % (2822014) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2822005-2822014"...
% 0.36/0.46 % (2822014)...printing done.
% 0.36/0.46 % (2822014)Refutation found. Thanks to Tanya!
% 0.36/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.46 % (2822014)------------------------------
% 0.36/0.46 % (2822014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.46 % (2822014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.46 % (2822014)CaDiCaL version: 2.1.3
% 0.36/0.46 % (2822014)Termination reason: Refutation
% 0.36/0.46 % (2822014)Time elapsed: 0.014 s
% 0.36/0.46 % (2822014)Peak memory usage: 11 MB
% 0.36/0.46 % (2822014)Instructions burned: 12 (million)
% 0.36/0.46 % (2822005)Success in time 0.081 s
% 0.36/0.46 % Vampire exiting
%------------------------------------------------------------------------------