0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.09	% Command    : run_vampire %s %d THM
0.08/0.29	% Computer   : n014.cluster.edu
0.08/0.29	% Model      : x86_64 x86_64
0.08/0.29	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.29	% Memory     : 8042.1875MB
0.08/0.29	% OS         : Linux 3.10.0-693.el7.x86_64
0.08/0.29	% CPULimit   : 960
0.08/0.29	% WCLimit    : 120
0.08/0.30	% DateTime   : Wed Jul 30 05:49:49 EDT 2025
0.08/0.30	% CPUTime    : 
0.17/0.31	This is a TFF_ problem
0.17/0.31	Running first-order theorem proving
0.17/0.31	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.17/0.39	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (8674)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1040885471:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi)
0.17/0.39	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (8672)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=1036087918:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi)
0.17/0.39	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (8673)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3516238366:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi)
0.17/0.39	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (8678)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=17033430:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi)
0.17/0.39	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (8677)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=893588942:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi)
0.17/0.39	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (8676)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=45989091:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi)
0.17/0.39	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (8675)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1081636721:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi)
0.17/0.39	% (8676)Instruction limit reached! 
0.17/0.39	% (8676)------------------------------
0.17/0.39	% (8676)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.17/0.39	% (8676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.39	% (8676)Termination reason: Instruction limit
0.17/0.39	% (8676)Termination phase: Saturation
0.17/0.39	
0.17/0.39	% (8676)Time elapsed: 0.003 s
0.17/0.39	% (8676)Peak memory usage: 8 MB
0.17/0.39	% (8676)Instructions burned: 4 (million)
0.17/0.39	% (8675)Instruction limit reached! 
0.17/0.39	% (8675)------------------------------
0.17/0.39	% (8675)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.17/0.39	% (8675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.39	% (8675)Termination reason: Instruction limit
0.17/0.39	% (8675)Termination phase: Saturation
0.17/0.39	
0.17/0.39	% (8675)Time elapsed: 0.004 s
0.17/0.39	% (8675)Peak memory usage: 8 MB
0.17/0.39	% (8675)Instructions burned: 8 (million)
0.17/0.41	% (8672)Instruction limit reached! 
0.17/0.41	% (8672)------------------------------
0.17/0.41	% (8672)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.17/0.41	% (8672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.41	% (8672)Termination reason: Instruction limit
0.17/0.41	% (8672)Termination phase: Saturation
0.17/0.41	
0.17/0.41	% (8672)Time elapsed: 0.016 s
0.17/0.41	% (8672)Peak memory usage: 28 MB
0.17/0.41	% (8672)Instructions burned: 13 (million)
0.17/0.41	% (8677)First to succeed.
0.17/0.41	% (8677)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8670"
0.17/0.41	% (8670)Running in auto input_syntax mode. Trying TPTP
0.17/0.41	% (8677)Refutation found. Thanks to Tanya!
0.17/0.41	% SZS status Theorem for theBenchmark
0.17/0.41	% SZS output start Proof for theBenchmark
0.17/0.41	tff(type_def_5, type, list: $tType).
0.17/0.41	tff(func_def_0, type, nil: list).
0.17/0.41	tff(func_def_1, type, cons: ($int * list) > list).
0.17/0.41	tff(func_def_2, type, head: list > $int).
0.17/0.41	tff(func_def_3, type, tail: list > list).
0.17/0.41	tff(func_def_4, type, length: list > $int).
0.17/0.41	tff(func_def_5, type, count: ($int * list) > $int).
0.17/0.41	tff(func_def_6, type, append: (list * list) > list).
0.17/0.41	tff(func_def_11, type, sK0: ($int * list) > $int).
0.17/0.41	tff(func_def_12, type, sK1: ($int * list) > list).
0.17/0.41	tff(func_def_13, type, sK2: (list * $int) > list).
0.17/0.41	tff(func_def_14, type, sK3: (list * $int) > $int).
0.17/0.41	tff(func_def_15, type, sK4: (list * $int) > $int).
0.17/0.41	tff(func_def_16, type, sK5: (list * $int) > list).
0.17/0.41	tff(pred_def_1, type, in: ($int * list) > $o).
0.17/0.41	tff(pred_def_2, type, inRange: ($int * list) > $o).
0.17/0.41	tff(f136,plain,(
0.17/0.41	  $false),
0.17/0.41	  inference(avatar_smt_refutation,[],[f92,f135])).
0.17/0.41	tff(f135,plain,(
0.17/0.41	  ~spl6_1),
0.17/0.41	  inference(avatar_contradiction_clause,[],[f134])).
0.17/0.41	tff(f134,plain,(
0.17/0.41	  $false | ~spl6_1),
0.17/0.41	  inference(evaluation,[],[f132])).
0.17/0.41	tff(f132,plain,(
0.17/0.41	  ~$less(1,$sum(1,$sum(1,0))) | $less(4,$sum(1,$sum(1,$sum(1,$sum(1,0))))) | ~spl6_1),
0.17/0.41	  inference(superposition,[],[f128,f91])).
0.17/0.41	tff(f91,plain,(
0.17/0.41	  0 = length(nil) | ~spl6_1),
0.17/0.41	  inference(avatar_component_clause,[],[f89])).
0.17/0.41	tff(f89,definition,(
0.17/0.41	  spl6_1 <=> 0 = length(nil)),
0.17/0.41	  introduced(definition,[new_symbols(naming,[spl6_1])],[avatar_definition])).
0.17/0.41	tff(f128,plain,(
0.17/0.41	  ( ! [X0 : list] : ($less(4,$sum(1,$sum(1,$sum(1,$sum(1,length(X0)))))) | ~$less(1,$sum(1,$sum(1,length(X0))))) ) | ~spl6_1),
0.17/0.41	  inference(superposition,[],[f124,f56])).
0.17/0.41	tff(f56,plain,(
0.17/0.41	  ( ! [X0 : list,X1 : $int] : (length(cons(X1,X0)) = $sum(1,length(X0))) )),
0.17/0.41	  inference(cnf_transformation,[],[f23])).
0.17/0.41	tff(f23,plain,(
0.17/0.41	  ! [X0 : list,X1 : $int] : length(cons(X1,X0)) = $sum(1,length(X0))),
0.17/0.41	  inference(rectify,[],[f3])).
0.17/0.41	tff(f3,axiom,(
0.17/0.41	  ! [X3 : list,X4 : $int] : length(cons(X4,X3)) = $sum(1,length(X3))),
0.17/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.41	tff(f124,plain,(
0.17/0.41	  ( ! [X0 : list] : ($less(4,$sum(1,$sum(1,$sum(1,length(X0))))) | ~$less(1,$sum(1,length(X0)))) ) | ~spl6_1),
0.17/0.41	  inference(superposition,[],[f120,f56])).
0.17/0.41	tff(f120,plain,(
0.17/0.41	  ( ! [X0 : list] : ($less(4,$sum(1,$sum(1,length(X0)))) | ~$less(1,length(X0))) ) | ~spl6_1),
0.17/0.41	  inference(evaluation,[],[f119])).
0.17/0.41	tff(f119,plain,(
0.17/0.41	  ( ! [X0 : list] : ($less(4,$sum(1,$sum(1,length(X0)))) | ~$less(1,length(X0)) | ~$less(1,$sum(1,$sum(1,0)))) ) | ~spl6_1),
0.17/0.41	  inference(forward_demodulation,[],[f117,f91])).
0.17/0.41	tff(f117,plain,(
0.17/0.41	  ( ! [X0 : list] : (~$less(1,length(X0)) | ~$less(1,$sum(1,$sum(1,length(nil)))) | $less(4,$sum(1,$sum(1,length(X0))))) )),
0.17/0.41	  inference(superposition,[],[f116,f58])).
0.17/0.41	tff(f58,plain,(
0.17/0.41	  ( ! [X0 : list] : (append(nil,X0) = X0) )),
0.17/0.41	  inference(cnf_transformation,[],[f31])).
0.17/0.41	tff(f31,plain,(
0.17/0.41	  ! [X0 : list] : append(nil,X0) = X0),
0.17/0.41	  inference(rectify,[],[f7])).
0.17/0.41	tff(f7,axiom,(
0.17/0.41	  ! [X1 : list] : append(nil,X1) = X1),
0.17/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.41	tff(f116,plain,(
0.17/0.41	  ( ! [X2 : list,X1 : list] : ($less(4,$sum(1,$sum(1,length(append(X1,X2))))) | ~$less(1,$sum(1,$sum(1,length(X1)))) | ~$less(1,length(X2))) )),
0.17/0.41	  inference(forward_demodulation,[],[f114,f56])).
0.17/0.41	tff(f114,plain,(
0.17/0.41	  ( ! [X2 : list,X0 : $int,X1 : list] : ($less(4,$sum(1,$sum(1,length(append(X1,X2))))) | ~$less(1,$sum(1,length(cons(X0,X1)))) | ~$less(1,length(X2))) )),
0.17/0.41	  inference(forward_demodulation,[],[f113,f56])).
0.17/0.41	tff(f113,plain,(
0.17/0.41	  ( ! [X2 : list,X0 : $int,X1 : list] : ($less(4,$sum(1,length(cons(X0,append(X1,X2))))) | ~$less(1,length(X2)) | ~$less(1,$sum(1,length(cons(X0,X1))))) )),
0.17/0.41	  inference(superposition,[],[f111,f57])).
0.17/0.41	tff(f57,plain,(
0.17/0.41	  ( ! [X2 : list,X0 : list,X1 : $int] : (append(cons(X1,X0),X2) = cons(X1,append(X0,X2))) )),
0.17/0.41	  inference(cnf_transformation,[],[f37])).
0.17/0.41	tff(f37,plain,(
0.17/0.41	  ! [X0 : list,X1 : $int,X2 : list] : append(cons(X1,X0),X2) = cons(X1,append(X0,X2))),
0.17/0.41	  inference(rectify,[],[f24])).
0.17/0.41	tff(f24,plain,(
0.17/0.41	  ! [X1 : list,X0 : $int,X2 : list] : cons(X0,append(X1,X2)) = append(cons(X0,X1),X2)),
0.17/0.41	  inference(rectify,[],[f14])).
0.17/0.41	tff(f14,axiom,(
0.17/0.41	  ! [X6 : $int,X2 : list,X1 : list] : append(cons(X6,X2),X1) = cons(X6,append(X2,X1))),
0.17/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.41	tff(f111,plain,(
0.17/0.41	  ( ! [X2 : list,X1 : list] : ($less(4,$sum(1,length(append(X1,X2)))) | ~$less(1,$sum(1,length(X1))) | ~$less(1,length(X2))) )),
0.17/0.41	  inference(forward_demodulation,[],[f110,f56])).
0.17/0.41	tff(f110,plain,(
0.17/0.41	  ( ! [X2 : list,X0 : $int,X1 : list] : (~$less(1,length(X2)) | $less(4,$sum(1,length(append(X1,X2)))) | ~$less(1,length(cons(X0,X1)))) )),
0.17/0.41	  inference(forward_demodulation,[],[f109,f56])).
0.17/0.41	tff(f109,plain,(
0.17/0.41	  ( ! [X2 : list,X0 : $int,X1 : list] : ($less(4,length(cons(X0,append(X1,X2)))) | ~$less(1,length(X2)) | ~$less(1,length(cons(X0,X1)))) )),
0.17/0.41	  inference(superposition,[],[f59,f57])).
0.17/0.41	tff(f59,plain,(
0.17/0.41	  ( ! [X0 : list,X1 : list] : ($less(4,length(append(X1,X0))) | ~$less(1,length(X0)) | ~$less(1,length(X1))) )),
0.17/0.41	  inference(cnf_transformation,[],[f38])).
0.17/0.41	tff(f38,plain,(
0.17/0.41	  ! [X0 : list,X1 : list] : ($less(4,length(append(X1,X0))) | ~$less(1,length(X1)) | ~$less(1,length(X0)))),
0.17/0.41	  inference(rectify,[],[f35])).
0.17/0.41	tff(f35,plain,(
0.17/0.41	  ! [X1 : list,X0 : list] : ($less(4,length(append(X0,X1))) | ~$less(1,length(X0)) | ~$less(1,length(X1)))),
0.17/0.41	  inference(flattening,[],[f34])).
0.17/0.41	tff(f34,plain,(
0.17/0.41	  ! [X0 : list,X1 : list] : ($less(4,length(append(X0,X1))) | (~$less(1,length(X1)) | ~$less(1,length(X0))))),
0.17/0.41	  inference(ennf_transformation,[],[f25])).
0.17/0.41	tff(f25,plain,(
0.17/0.41	  ! [X0 : list,X1 : list] : (($less(1,length(X1)) & $less(1,length(X0))) => $less(4,length(append(X0,X1))))),
0.17/0.41	  inference(rectify,[],[f18])).
0.17/0.41	tff(f18,plain,(
0.17/0.41	  ! [X2 : list,X1 : list] : (($less(1,length(X1)) & $less(1,length(X2))) => $less(4,length(append(X2,X1))))),
0.17/0.41	  inference(theory_normalization,[],[f16])).
0.17/0.41	tff(f16,negated_conjecture,(
0.17/0.41	  ~~! [X2 : list,X1 : list] : (($greater(length(X1),1) & $greater(length(X2),1)) => $greater(length(append(X2,X1)),4))),
0.17/0.41	  inference(negated_conjecture,[status(cth)],[f15])).
0.17/0.41	tff(f15,conjecture,(
0.17/0.41	  ~! [X2 : list,X1 : list] : (($greater(length(X1),1) & $greater(length(X2),1)) => $greater(length(append(X2,X1)),4))),
0.17/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.41	tff(f92,plain,(
0.17/0.41	  spl6_1),
0.17/0.41	  inference(avatar_split_clause,[],[f61,f89])).
0.17/0.41	tff(f61,plain,(
0.17/0.41	  0 = length(nil)),
0.17/0.41	  inference(cnf_transformation,[],[f4])).
0.17/0.41	tff(f4,axiom,(
0.17/0.41	  0 = length(nil)),
0.17/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.41	% SZS output end Proof for theBenchmark
0.17/0.41	% (8677)------------------------------
0.17/0.41	% (8677)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.17/0.41	% (8677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.41	% (8677)Termination reason: Refutation
0.17/0.41	
0.17/0.41	% (8677)Time elapsed: 0.018 s
0.17/0.41	% (8677)Peak memory usage: 28 MB
0.17/0.41	% (8677)Instructions burned: 15 (million)
0.17/0.41	% (8677)------------------------------
0.17/0.41	% (8677)------------------------------
0.17/0.41	% (8670)Success in time 0.093 s
0.17/0.41	EOF