%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN000_5 : TPTP v9.3.1. Bugfixed v5.5.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 02:06:23 PM UTC 2026
% Result : Theorem 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN000_5 : TPTP v9.3.1. Bugfixed v5.5.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.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 15:19:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.18/0.27 % (4083639)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (4083645)% WARNING: option uhcvi not known.
% 0.18/0.27 % (4083649)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2696895701:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (4083645)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3411866875:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (4083648)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2939466070:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (4083644)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3500249703_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % (4083647)dis+10_1_sil=32000:sp=arity:random_seed=2269237901:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (4083646)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1171129321:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (4083644)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.27 % (4083644)Terminated due to inappropriate strategy.
% 0.18/0.27 % (4083644)------------------------------
% 0.18/0.27 % (4083644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (4083644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (4083644)CaDiCaL version: 2.1.3
% 0.18/0.27 % (4083644)Termination reason: Inappropriate
% 0.18/0.27 % (4083644)Time elapsed: 0.002 s
% 0.18/0.27 % (4083644)Peak memory usage: 11 MB
% 0.18/0.27 % (4083644)Instructions burned: 4 (million)
% 0.18/0.27 % (4083649) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4083639-4083649"...
% 0.18/0.27 % (4083644)------------------------------
% 0.18/0.27 % (4083644)------------------------------
% 0.18/0.27 % (4083649)...printing done.
% 0.18/0.27 % (4083650)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2104245685:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % (4083649)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Theorem for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% 0.18/0.27 tff(func_def_0, type, a_int: $int).
% 0.18/0.27 tff(func_def_1, type, a_rat: $rat).
% 0.18/0.27 tff(func_def_2, type, a_real: $real).
% 0.18/0.27 tff(func_def_77, type, sK0: $int > $int).
% 0.18/0.27 tff(func_def_78, type, sK1: $rat > $rat).
% 0.18/0.27 tff(func_def_79, type, sK2: $real > $real).
% 0.18/0.27 tff(func_def_80, type, sK3: $rat).
% 0.18/0.27 tff(func_def_81, type, sK4: $real).
% 0.18/0.27 tff(func_def_82, type, sK5: $real).
% 0.18/0.27 tff(pred_def_1, type, p_int: $int > $o).
% 0.18/0.27 tff(pred_def_2, type, p_rat: $rat > $o).
% 0.18/0.27 tff(pred_def_3, type, p_real: $real > $o).
% 0.18/0.27 tff(f77,conjecture,(
% 0.18/0.27 ? [X0 : $int,X1 : $rat,X2 : $real] : (X1 = $to_rat($sum(X0,2)) & ($less($to_int(X1),3) | $greater($to_real(X1),33/10)))),
% 0.18/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed)).
% 0.18/0.27 tff(f78,negated_conjecture,(
% 0.18/0.27 ~ ? [X0 : $int,X1 : $rat,X2 : $real] : (X1 = $to_rat($sum(X0,2)) & ($less($to_int(X1),3) | $greater($to_real(X1),33/10)))),
% 0.18/0.27 inference(negated_conjecture,[status(cth)],[f77])).
% 0.18/0.27 tff(f103,plain,(
% 0.18/0.27 ~ ? [X0 : $int,X1 : $rat,X2 : $real] : (X1 = $to_rat($sum(X0,2)) & ($less($to_int(X1),3) | $less(33/10,$to_real(X1))))),
% 0.18/0.27 inference(theory_normalization,[],[f78])).
% 0.18/0.27 tff(f104,definition,(
% 0.18/0.27 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.18/0.27 introduced(theory,[tha_commutativity])).
% 0.18/0.27 tff(f108,definition,(
% 0.18/0.27 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.18/0.27 introduced(theory,[tha_inverse_op_unit])).
% 0.18/0.27 tff(f113,definition,(
% 0.18/0.27 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.18/0.27 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.18/0.27 tff(f183,plain,(
% 0.18/0.27 ~ ? [X0 : $int,X1 : $rat] : (X1 = $to_rat($sum(X0,2)) & ($less($to_int(X1),3) | $less(33/10,$to_real(X1))))),
% 0.18/0.27 inference(rectify,[],[f103])).
% 0.18/0.27 tff(f187,plain,(
% 0.18/0.27 ! [X0 : $int,X1 : $rat] : ($to_rat($sum(X0,2)) != X1 | (~$less($to_int(X1),3) & ~$less(33/10,$to_real(X1))))),
% 0.18/0.27 inference(ennf_transformation,[],[f183])).
% 0.18/0.27 tff(f269,plain,(
% 0.18/0.27 ( ! [X0 : $int,X1 : $rat] : (~$less($to_int(X1),3) | $to_rat($sum(X0,2)) != X1) )),
% 0.18/0.27 inference(cnf_transformation,[],[f187])).
% 0.18/0.27 tff(f474,plain,(
% 0.18/0.27 ( ! [X0 : $rat,X1 : $int] : ($less(3,$sum($to_int(X0),1)) | $to_rat($sum(X1,2)) != X0) )),
% 0.18/0.27 inference(resolution,[],[f113,f269])).
% 0.18/0.27 tff(f481,plain,(
% 0.18/0.27 ( ! [X0 : $rat,X1 : $int] : ($to_rat($sum(X1,2)) != X0 | $less(3,$sum(1,$to_int(X0)))) )),
% 0.18/0.27 inference(forward_demodulation,[],[f474,f104])).
% 0.18/0.27 tff(f484,plain,(
% 0.18/0.27 ( ! [X0 : $int] : ($less(3,$sum(1,$to_int($to_rat($sum(X0,2)))))) )),
% 0.18/0.27 inference(equality_resolution,[],[f481])).
% 0.18/0.27 tff(f487,plain,(
% 0.18/0.27 ( ! [X0 : $int] : ($less(3,$sum(1,$to_int($to_rat($sum(2,X0)))))) )),
% 0.18/0.27 inference(superposition,[],[f484,f104])).
% 0.18/0.27 tff(f491,plain,(
% 0.18/0.27 $less(3,$sum(1,$to_int($to_rat(0))))),
% 0.18/0.27 inference(superposition,[],[f487,f108])).
% 0.18/0.27 tff(f494,plain,(
% 0.18/0.27 $false),
% 0.18/0.27 inference(evaluation,[],[f491])).
% 0.18/0.27 % SZS output end Proof for theBenchmark
% 0.18/0.27 % (4083649)------------------------------
% 0.18/0.27 % (4083649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (4083649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (4083649)CaDiCaL version: 2.1.3
% 0.18/0.27 % (4083649)Termination reason: Refutation
% 0.18/0.27 % (4083649)Time elapsed: 0.005 s
% 0.18/0.27 % (4083649)Peak memory usage: 12 MB
% 0.18/0.27 % (4083649)Instructions burned: 14 (million)
% 0.18/0.27 % (4083639)Success in time 0.042 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------