%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM912_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:26:02 PM UTC 2026
% Result : Theorem 0.12s 0.47s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM912_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.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 21:34:50 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.47 % (2957999)Will run a generic schedule for satisfiability detection.
% 0.12/0.47 % (2958009)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1988985376:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.47 % (2958005)% WARNING: option uhcvi not known.
% 0.12/0.47 % (2958004)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3960732926_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.47 % (2958006)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2865740605:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.47 % (2958007)dis+10_1_sil=32000:sp=arity:random_seed=2098011939:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.47 % (2958008)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3498872609:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.47 % (2958004)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.47 % (2958004)Terminated due to inappropriate strategy.
% 0.12/0.47 % (2958004)------------------------------
% 0.12/0.47 % (2958004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.47 % (2958004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.47 % (2958004)CaDiCaL version: 2.1.3
% 0.12/0.47 % (2958004)Termination reason: Inappropriate
% 0.12/0.47 % (2958004)Time elapsed: 0.0000 s
% 0.12/0.47 % (2958004)Peak memory usage: 10 MB
% 0.12/0.47 % (2958010)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1159377618:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.47 % (2958004)------------------------------
% 0.12/0.47 % (2958004)------------------------------
% 0.12/0.47 % (2958005)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2570246950:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.47 % (2958007) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2957999-2958007"...
% 0.12/0.47 % (2958007)...printing done.
% 0.12/0.47 % (2958007)Refutation found. Thanks to Tanya!
% 0.12/0.47 % SZS status Theorem for theBenchmark
% 0.12/0.47 % SZS output start Proof for theBenchmark
% 0.12/0.47 tff(func_def_4, type, sK0: $real).
% 0.12/0.47 tff(f1,conjecture,(
% 0.12/0.47 ! [X0 : $real] : (X0 = $uminus(X0) <=> X0 = 0/1)),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_uminus_problem_9)).
% 0.12/0.47 tff(f2,negated_conjecture,(
% 0.12/0.47 ~ ! [X0 : $real] : (X0 = $uminus(X0) <=> X0 = 0/1)),
% 0.12/0.47 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.47 tff(f3,definition,(
% 0.12/0.47 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.12/0.47 introduced(theory,[tha_commutativity])).
% 0.12/0.47 tff(f5,definition,(
% 0.12/0.47 ( ! [X0 : $real] : ($sum(X0,0/1) = X0) )),
% 0.12/0.47 introduced(theory,[tha_right_identity])).
% 0.12/0.47 tff(f7,definition,(
% 0.12/0.47 ( ! [X0 : $real] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.12/0.47 introduced(theory,[tha_inverse_op_unit])).
% 0.12/0.47 tff(f8,definition,(
% 0.12/0.47 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 0.12/0.47 introduced(theory,[tha_non-reflexivity])).
% 0.12/0.47 tff(f9,definition,(
% 0.12/0.47 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.12/0.47 introduced(theory,[tha_transitivity])).
% 0.12/0.47 tff(f10,definition,(
% 0.12/0.47 ( ! [X0 : $real,X1 : $real] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.12/0.47 introduced(theory,[tha_order_totality])).
% 0.12/0.47 tff(f11,definition,(
% 0.12/0.47 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.12/0.47 introduced(theory,[tha_order_monotonicity])).
% 0.12/0.47 tff(f14,plain,(
% 0.12/0.47 ? [X0 : $real] : (X0 = $uminus(X0) <~> X0 = 0/1)),
% 0.12/0.47 inference(ennf_transformation,[],[f2])).
% 0.12/0.47 tff(f15,plain,(
% 0.12/0.47 ? [X0 : $real] : ((0/1 != X0 | $uminus(X0) != X0) & (X0 = 0/1 | X0 = $uminus(X0)))),
% 0.12/0.47 inference(nnf_transformation,[],[f14])).
% 0.12/0.47 tff(f16,plain,(
% 0.12/0.47 (0/1 != sK0 | sK0 != $uminus(sK0)) & (0/1 = sK0 | sK0 = $uminus(sK0))),
% 0.12/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15])).
% 0.12/0.47 tff(f17,plain,(
% 0.12/0.47 0/1 = sK0 | sK0 = $uminus(sK0)),
% 0.12/0.47 inference(cnf_transformation,[],[f16])).
% 0.12/0.47 tff(f18,plain,(
% 0.12/0.47 0/1 != sK0 | sK0 != $uminus(sK0)),
% 0.12/0.47 inference(cnf_transformation,[],[f16])).
% 0.12/0.47 tff(f20,definition,(
% 0.12/0.47 spl1_1 <=> sK0 = $uminus(sK0)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.12/0.47 tff(f21,plain,(
% 0.12/0.47 sK0 != $uminus(sK0) | spl1_1),
% 0.12/0.47 inference(avatar_component_clause,[],[f20])).
% 0.12/0.47 tff(f22,plain,(
% 0.12/0.47 sK0 = $uminus(sK0) | ~spl1_1),
% 0.12/0.47 inference(avatar_component_clause,[],[f20])).
% 0.12/0.47 tff(f24,definition,(
% 0.12/0.47 spl1_2 <=> 0/1 = sK0),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.12/0.47 tff(f25,plain,(
% 0.12/0.47 0/1 != sK0 | spl1_2),
% 0.12/0.47 inference(avatar_component_clause,[],[f24])).
% 0.12/0.47 tff(f26,plain,(
% 0.12/0.47 0/1 = sK0 | ~spl1_2),
% 0.12/0.47 inference(avatar_component_clause,[],[f24])).
% 0.12/0.47 tff(f27,plain,(
% 0.12/0.47 spl1_1 | spl1_2),
% 0.12/0.47 inference(avatar_split_clause,[],[f17,f24,f20])).
% 0.12/0.47 tff(f28,plain,(
% 0.12/0.47 ~spl1_1 | ~spl1_2),
% 0.12/0.47 inference(avatar_split_clause,[],[f18,f24,f20])).
% 0.12/0.47 tff(f29,plain,(
% 0.12/0.47 0/1 != $uminus(0/1) | (spl1_1 | ~spl1_2)),
% 0.12/0.47 inference(forward_demodulation,[],[f21,f26])).
% 0.12/0.47 tff(f30,plain,(
% 0.12/0.47 $false | (spl1_1 | ~spl1_2)),
% 0.12/0.47 inference(evaluation,[],[f29])).
% 0.12/0.47 tff(f31,plain,(
% 0.12/0.47 spl1_1 | ~spl1_2),
% 0.12/0.47 inference(avatar_contradiction_clause,[],[f30])).
% 0.12/0.47 tff(f33,plain,(
% 0.12/0.47 0/1 = $sum(sK0,sK0) | ~spl1_1),
% 0.12/0.47 inference(superposition,[],[f7,f22])).
% 0.12/0.47 tff(f84,plain,(
% 0.12/0.47 ( ! [X0 : $real] : ($less(0/1,$sum(X0,sK0)) | ~$less(sK0,X0)) ) | ~spl1_1),
% 0.12/0.47 inference(superposition,[],[f11,f33])).
% 0.12/0.47 tff(f90,plain,(
% 0.12/0.47 ( ! [X0 : $real] : ($less($sum(X0,sK0),0/1) | ~$less(X0,sK0)) ) | ~spl1_1),
% 0.12/0.47 inference(superposition,[],[f11,f33])).
% 0.12/0.47 tff(f95,plain,(
% 0.12/0.47 ( ! [X0 : $real] : ($less(0/1,$sum(sK0,X0)) | ~$less(sK0,X0)) ) | ~spl1_1),
% 0.12/0.47 inference(superposition,[],[f84,f3])).
% 0.12/0.47 tff(f173,plain,(
% 0.12/0.47 ( ! [X0 : $real] : ($less($sum(sK0,X0),0/1) | ~$less(X0,sK0)) ) | ~spl1_1),
% 0.12/0.47 inference(superposition,[],[f90,f3])).
% 0.12/0.47 tff(f216,plain,(
% 0.12/0.47 $less(0/1,sK0) | ~$less(sK0,0/1) | ~spl1_1),
% 0.12/0.47 inference(superposition,[],[f95,f5])).
% 0.12/0.47 tff(f222,definition,(
% 0.12/0.47 spl1_3 <=> $less(sK0,0/1)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 0.12/0.47 tff(f223,plain,(
% 0.12/0.47 $less(sK0,0/1) | ~spl1_3),
% 0.12/0.47 inference(avatar_component_clause,[],[f222])).
% 0.12/0.47 tff(f224,plain,(
% 0.12/0.47 ~$less(sK0,0/1) | spl1_3),
% 0.12/0.47 inference(avatar_component_clause,[],[f222])).
% 0.12/0.47 tff(f226,definition,(
% 0.12/0.47 spl1_4 <=> $less(0/1,sK0)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition])).
% 0.12/0.47 tff(f228,plain,(
% 0.12/0.47 $less(0/1,sK0) | ~spl1_4),
% 0.12/0.47 inference(avatar_component_clause,[],[f226])).
% 0.12/0.47 tff(f229,plain,(
% 0.12/0.47 ~spl1_3 | spl1_4 | ~spl1_1),
% 0.12/0.47 inference(avatar_split_clause,[],[f216,f20,f226,f222])).
% 0.12/0.47 tff(f243,plain,(
% 0.12/0.47 $less(0/1,sK0) | 0/1 = sK0 | spl1_3),
% 0.12/0.47 inference(resolution,[],[f224,f10])).
% 0.12/0.47 tff(f244,plain,(
% 0.12/0.47 $less(0/1,sK0) | (spl1_2 | spl1_3)),
% 0.12/0.47 inference(forward_subsumption_resolution,[],[f243,f25])).
% 0.12/0.47 tff(f246,plain,(
% 0.12/0.47 spl1_4 | spl1_2 | spl1_3),
% 0.12/0.47 inference(avatar_split_clause,[],[f244,f222,f24,f226])).
% 0.12/0.47 tff(f258,plain,(
% 0.12/0.47 ( ! [X0 : $real] : (~$less(X0,0/1) | $less(X0,sK0)) ) | ~spl1_4),
% 0.12/0.47 inference(resolution,[],[f228,f9])).
% 0.12/0.47 tff(f354,plain,(
% 0.12/0.47 $less(sK0,0/1) | ~$less(0/1,sK0) | ~spl1_1),
% 0.12/0.47 inference(superposition,[],[f173,f5])).
% 0.12/0.47 tff(f363,plain,(
% 0.12/0.47 $less(sK0,0/1) | (~spl1_1 | ~spl1_4)),
% 0.12/0.47 inference(forward_subsumption_resolution,[],[f354,f228])).
% 0.12/0.47 tff(f364,plain,(
% 0.12/0.47 spl1_3 | ~spl1_1 | ~spl1_4),
% 0.12/0.47 inference(avatar_split_clause,[],[f363,f226,f20,f222])).
% 0.12/0.47 tff(f365,plain,(
% 0.12/0.47 $less(sK0,sK0) | (~spl1_3 | ~spl1_4)),
% 0.12/0.47 inference(resolution,[],[f223,f258])).
% 0.12/0.47 tff(f367,plain,(
% 0.12/0.47 $false | (~spl1_3 | ~spl1_4)),
% 0.12/0.47 inference(forward_subsumption_resolution,[],[f365,f8])).
% 0.12/0.47 tff(f368,plain,(
% 0.12/0.47 ~spl1_3 | ~spl1_4),
% 0.12/0.47 inference(avatar_contradiction_clause,[],[f367])).
% 0.12/0.47 cnf(s1, plain, spl1_1 | spl1_2, inference(sat_conversion,[],[f27])).
% 0.12/0.47 cnf(s2, plain, ~spl1_1 | ~spl1_2, inference(sat_conversion,[],[f28])).
% 0.12/0.47 cnf(s3, plain, spl1_1 | ~spl1_2, inference(sat_conversion,[],[f31])).
% 0.12/0.47 cnf(s4, plain, ~spl1_1 | ~spl1_3 | spl1_4, inference(sat_conversion,[],[f229])).
% 0.12/0.47 cnf(s5, plain, spl1_2 | spl1_3 | spl1_4, inference(sat_conversion,[],[f246])).
% 0.12/0.47 cnf(s8, plain, ~spl1_1 | spl1_3 | ~spl1_4, inference(sat_conversion,[],[f364])).
% 0.12/0.47 cnf(s9, plain, ~spl1_3 | ~spl1_4, inference(sat_conversion,[],[f368])).
% 0.12/0.47 cnf(s10, plain, spl1_1, inference(rat,[],[s1,s3])).
% 0.12/0.47 cnf(s11, plain, ~spl1_2, inference(rat,[],[s2,s10])).
% 0.12/0.47 cnf(s12, plain, spl1_3, inference(rat,[],[s5,s8,s11,s10])).
% 0.12/0.47 cnf(s13, plain, ~spl1_4, inference(rat,[],[s9,s12])).
% 0.12/0.47 cnf(s14, plain, $false, inference(rat,[],[s4,s10,s13,s12])).
% 0.12/0.47 tff(f369,plain,(
% 0.12/0.47 $false),
% 0.12/0.47 inference(avatar_sat_refutation,[],[s14])).
% 0.12/0.47 % SZS output end Proof for theBenchmark
% 0.12/0.47 % (2958007)------------------------------
% 0.12/0.47 % (2958007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.47 % (2958007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.47 % (2958007)CaDiCaL version: 2.1.3
% 0.12/0.47 % (2958007)Termination reason: Refutation
% 0.12/0.47 % (2958007)Time elapsed: 0.012 s
% 0.12/0.47 % (2958007)Peak memory usage: 12 MB
% 0.12/0.47 % (2958007)Instructions burned: 14 (million)
% 0.12/0.47 % (2957999)Success in time 0.047 s
% 0.12/0.47 % Vampire exiting
%------------------------------------------------------------------------------