%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM865_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:25:58 PM UTC 2026
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM865_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:36:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.18/0.46 % (2416311)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (2416316)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4166037820_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.46 % (2416316)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.46 % (2416316)Terminated due to inappropriate strategy.
% 0.18/0.46 % (2416316)------------------------------
% 0.18/0.46 % (2416316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2416316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2416316)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2416316)Termination reason: Inappropriate
% 0.18/0.46 % (2416316)Time elapsed: 0.0000 s
% 0.18/0.46 % (2416316)Peak memory usage: 10 MB
% 0.18/0.46 % (2416316)------------------------------
% 0.18/0.46 % (2416316)------------------------------
% 0.18/0.46 % (2416317)% WARNING: option uhcvi not known.
% 0.18/0.46 % (2416318)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=280733909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46 % (2416317)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=799102098:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.46 % (2416319)dis+10_1_sil=32000:sp=arity:random_seed=1047079407:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46 % (2416320)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2056668936:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (2416322)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1366211678:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (2416321)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2642886189:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.46 % (2416321) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2416311-2416321"...
% 0.18/0.46 % (2416321)...printing done.
% 0.18/0.46 % (2416321)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% 0.18/0.46 tff(func_def_4, type, sK0: $int).
% 0.18/0.46 tff(func_def_5, type, sK1: $int).
% 0.18/0.46 tff(func_def_6, type, sK2: $int).
% 0.18/0.46 tff(func_def_7, type, sK3: $int).
% 0.18/0.46 tff(func_def_8, type, sK4: $int).
% 0.18/0.46 tff(func_def_9, type, sK5: $int).
% 0.18/0.46 tff(func_def_10, type, sK6: $int).
% 0.18/0.46 tff(f1,conjecture,(
% 0.18/0.46 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (($sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6) => X4 = X6)),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum_forall)).
% 0.18/0.46 tff(f2,negated_conjecture,(
% 0.18/0.46 ~ ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (($sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6) => X4 = X6)),
% 0.18/0.46 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.46 tff(f3,definition,(
% 0.18/0.46 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.18/0.46 introduced(theory,[tha_commutativity])).
% 0.18/0.46 tff(f4,definition,(
% 0.18/0.46 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.18/0.46 introduced(theory,[tha_associativity])).
% 0.18/0.46 tff(f15,plain,(
% 0.18/0.46 ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & ($sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6))),
% 0.18/0.46 inference(ennf_transformation,[],[f2])).
% 0.18/0.46 tff(f16,plain,(
% 0.18/0.46 ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & $sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6)),
% 0.18/0.46 inference(flattening,[],[f15])).
% 0.18/0.46 tff(f17,plain,(
% 0.18/0.46 sK4 != sK6 & sK3 = $sum(sK0,sK1) & sK4 = $sum(sK3,sK2) & sK5 = $sum(sK1,sK2) & sK6 = $sum(sK0,sK5)),
% 0.18/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f16])).
% 0.18/0.46 tff(f18,plain,(
% 0.18/0.46 sK6 = $sum(sK0,sK5)),
% 0.18/0.46 inference(cnf_transformation,[],[f17])).
% 0.18/0.46 tff(f19,plain,(
% 0.18/0.46 sK5 = $sum(sK1,sK2)),
% 0.18/0.46 inference(cnf_transformation,[],[f17])).
% 0.18/0.46 tff(f20,plain,(
% 0.18/0.46 sK4 = $sum(sK3,sK2)),
% 0.18/0.46 inference(cnf_transformation,[],[f17])).
% 0.18/0.46 tff(f21,plain,(
% 0.18/0.46 sK3 = $sum(sK0,sK1)),
% 0.18/0.46 inference(cnf_transformation,[],[f17])).
% 0.18/0.46 tff(f22,plain,(
% 0.18/0.46 sK4 != sK6),
% 0.18/0.46 inference(cnf_transformation,[],[f17])).
% 0.18/0.46 tff(f23,plain,(
% 0.18/0.46 sK4 != $sum(sK0,sK5)),
% 0.18/0.46 inference(forward_demodulation,[],[f22,f18])).
% 0.18/0.46 tff(f24,plain,(
% 0.18/0.46 sK4 != $sum(sK0,$sum(sK1,sK2))),
% 0.18/0.46 inference(forward_demodulation,[],[f23,f19])).
% 0.18/0.46 tff(f25,plain,(
% 0.18/0.46 $sum(sK3,sK2) != $sum(sK0,$sum(sK1,sK2))),
% 0.18/0.46 inference(forward_demodulation,[],[f24,f20])).
% 0.18/0.46 tff(f26,plain,(
% 0.18/0.46 $sum(sK0,$sum(sK1,sK2)) != $sum(sK2,sK3)),
% 0.18/0.46 inference(forward_demodulation,[],[f25,f3])).
% 0.18/0.46 tff(f27,plain,(
% 0.18/0.46 $sum(sK0,$sum(sK1,sK2)) != $sum(sK2,$sum(sK0,sK1))),
% 0.18/0.46 inference(forward_demodulation,[],[f26,f21])).
% 0.18/0.46 tff(f28,plain,(
% 0.18/0.46 $sum(sK0,$sum(sK1,sK2)) != $sum($sum(sK0,sK1),sK2)),
% 0.18/0.46 inference(forward_demodulation,[],[f27,f3])).
% 0.18/0.46 tff(f29,plain,(
% 0.18/0.46 $false),
% 0.18/0.46 inference(forward_subsumption_resolution,[],[f28,f4])).
% 0.18/0.46 % SZS output end Proof for theBenchmark
% 0.18/0.46 % (2416321)------------------------------
% 0.18/0.46 % (2416321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2416321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2416321)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2416321)Termination reason: Refutation
% 0.18/0.46 % (2416321)Time elapsed: 0.002 s
% 0.18/0.46 % (2416321)Peak memory usage: 11 MB
% 0.18/0.46 % (2416321)Instructions burned: 1 (million)
% 0.18/0.46 % (2416311)Success in time 0.036 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------