%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT084_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:48:06 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT084_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:03:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.29 % (4151405)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (4151416)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=384025028_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (4151416)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.29 % (4151416)Terminated due to inappropriate strategy.
% 0.21/0.29 % (4151416)------------------------------
% 0.21/0.29 % (4151416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (4151416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (4151416)CaDiCaL version: 2.1.3
% 0.21/0.29 % (4151416)Termination reason: Inappropriate
% 0.21/0.29 % (4151416)Time elapsed: 0.0000 s
% 0.21/0.29 % (4151416)Peak memory usage: 10 MB
% 0.21/0.29 % (4151416)Instructions burned: 1 (million)
% 0.21/0.29 % (4151416)------------------------------
% 0.21/0.29 % (4151416)------------------------------
% 0.21/0.29 % (4151417)% WARNING: option uhcvi not known.
% 0.21/0.29 % (4151418)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2667725:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (4151417)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1342285999:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (4151422)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=804920882:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (4151420)dis+10_1_sil=32000:sp=arity:random_seed=2658194573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (4151421)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1606858725:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (4151423)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3663639876:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (4151430)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2219687314:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.29 % (4151420) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4151405-4151420"...
% 0.21/0.29 % (4151422) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4151405-4151422"...
% 0.21/0.29 % (4151417) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4151405-4151417"...
% 0.21/0.29 % (4151430)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.29 % (4151430)Terminated due to inappropriate strategy.
% 0.21/0.29 % (4151430)------------------------------
% 0.21/0.29 % (4151430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (4151430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (4151430)CaDiCaL version: 2.1.3
% 0.21/0.29 % (4151430)Termination reason: Inappropriate
% 0.21/0.29 % (4151430)Time elapsed: 0.0000 s
% 0.21/0.29 % (4151430)Peak memory usage: 11 MB
% 0.21/0.29 % (4151430)Instructions burned: 1 (million)
% 0.21/0.29 % (4151421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4151405-4151421"...
% 0.21/0.29 % (4151430)------------------------------
% 0.21/0.29 % (4151430)------------------------------
% 0.21/0.29 % (4151420)...printing done.
% 0.21/0.29 % (4151422)...printing done.
% 0.21/0.29 % (4151417)...printing done.
% 0.21/0.29 % (4151420)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% 0.21/0.29 tff(type_def_5, type, list: $tType).
% 0.21/0.29 tff(func_def_0, type, nil: list).
% 0.21/0.29 tff(func_def_1, type, cons: ($int * list) > list).
% 0.21/0.29 tff(func_def_2, type, head: list > $int).
% 0.21/0.29 tff(func_def_3, type, tail: list > list).
% 0.21/0.29 tff(func_def_5, type, length: list > $int).
% 0.21/0.29 tff(func_def_8, type, count: ($int * list) > $int).
% 0.21/0.29 tff(func_def_9, type, append: (list * list) > list).
% 0.21/0.29 tff(func_def_11, type, sK0: ($int * list) > $int).
% 0.21/0.29 tff(func_def_12, type, sK1: ($int * list) > list).
% 0.21/0.29 tff(func_def_13, type, sK2: ($int * list) > $int).
% 0.21/0.29 tff(func_def_14, type, sK3: ($int * list) > list).
% 0.21/0.29 tff(func_def_15, type, sK4: ($int * list) > $int).
% 0.21/0.29 tff(func_def_16, type, sK5: ($int * list) > list).
% 0.21/0.29 tff(func_def_17, type, sK6: list).
% 0.21/0.29 tff(pred_def_1, type, in: ($int * list) > $o).
% 0.21/0.29 tff(pred_def_2, type, inRange: ($int * list) > $o).
% 0.21/0.29 tff(f8,axiom,(
% 0.21/0.29 ! [X0 : $int,X1 : list] : length(cons(X0,X1)) = $sum(1,length(X1))),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1)).
% 0.21/0.29 tff(f15,conjecture,(
% 0.21/0.29 ~ ? [X0 : list] : length(X0) = length(cons(1,X0))),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',c)).
% 0.21/0.29 tff(f16,negated_conjecture,(
% 0.21/0.29 ~ ~ ? [X0 : list] : length(X0) = length(cons(1,X0))),
% 0.21/0.29 inference(negated_conjecture,[status(cth)],[f15])).
% 0.21/0.29 tff(f19,definition,(
% 0.21/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.21/0.29 introduced(theory,[tha_commutativity])).
% 0.21/0.29 tff(f24,definition,(
% 0.21/0.29 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.21/0.29 introduced(theory,[tha_non-reflexivity])).
% 0.21/0.29 tff(f28,definition,(
% 0.21/0.29 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.21/0.29 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.21/0.29 tff(f34,plain,(
% 0.21/0.29 ? [X0 : list] : length(X0) = length(cons(1,X0))),
% 0.21/0.29 inference(flattening,[],[f16])).
% 0.21/0.29 tff(f46,plain,(
% 0.21/0.29 length(sK6) = length(cons(1,sK6))),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f34])).
% 0.21/0.29 tff(f64,plain,(
% 0.21/0.29 ( ! [X0 : $int,X1 : list] : (length(cons(X0,X1)) = $sum(1,length(X1))) )),
% 0.21/0.29 inference(cnf_transformation,[],[f8])).
% 0.21/0.29 tff(f72,plain,(
% 0.21/0.29 length(sK6) = length(cons(1,sK6))),
% 0.21/0.29 inference(cnf_transformation,[],[f46])).
% 0.21/0.29 tff(f85,plain,(
% 0.21/0.29 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.21/0.29 inference(resolution,[],[f28,f24])).
% 0.21/0.29 tff(f88,plain,(
% 0.21/0.29 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
% 0.21/0.29 inference(superposition,[],[f85,f19])).
% 0.21/0.29 tff(f126,plain,(
% 0.21/0.29 length(sK6) = $sum(1,length(sK6))),
% 0.21/0.29 inference(superposition,[],[f64,f72])).
% 0.21/0.29 tff(f129,plain,(
% 0.21/0.29 $less(length(sK6),length(sK6))),
% 0.21/0.29 inference(superposition,[],[f88,f126])).
% 0.21/0.29 tff(f130,plain,(
% 0.21/0.29 $false),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f129,f24])).
% 0.21/0.29 % SZS output end Proof for theBenchmark
% 0.21/0.29 % (4151420)------------------------------
% 0.21/0.29 % (4151420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (4151420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (4151420)CaDiCaL version: 2.1.3
% 0.21/0.29 % (4151420)Termination reason: Refutation
% 0.21/0.29 % (4151420)Time elapsed: 0.005 s
% 0.21/0.29 % (4151420)Peak memory usage: 12 MB
% 0.21/0.29 % (4151420)Instructions burned: 5 (million)
% 0.21/0.29 % (4151405)Success in time 0.044 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------