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
0.08/0.28	% Computer   : n016.cluster.edu
0.08/0.28	% Model      : x86_64 x86_64
0.08/0.28	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.28	% Memory     : 8042.1875MB
0.08/0.28	% OS         : Linux 3.10.0-693.el7.x86_64
0.08/0.28	% CPULimit   : 960
0.08/0.28	% WCLimit    : 120
0.08/0.28	% DateTime   : Wed Jul 30 06:29:49 EDT 2025
0.08/0.28	% CPUTime    : 
0.08/0.30	This is a TFF_ problem
0.08/0.30	Running first-order theorem proving
0.08/0.30	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.15/0.37	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.37	% (9467)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2892329454:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1200 on theBenchmark for (1200ds/201Mi)
0.15/0.37	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.37	% (9471)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1268491151:i=33:rtra=on_1200 on theBenchmark for (1200ds/33Mi)
0.15/0.37	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.37	% (9470)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1712649336:i=46:rtra=on_1200 on theBenchmark for (1200ds/46Mi)
0.15/0.37	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.37	% (9468)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=717934124:s2a=on:i=7:rtra=on:inst=on_1200 on theBenchmark for (1200ds/7Mi)
0.15/0.37	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.37	% (9465)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=2896689667:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1200 on theBenchmark for (1200ds/12Mi)
0.15/0.37	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.37	% (9466)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1109146696:i=307:kws=precedence:nm=0:rtra=on_1200 on theBenchmark for (1200ds/307Mi)
0.15/0.37	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.37	% (9469)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4281308141:i=4:rtra=on_1200 on theBenchmark for (1200ds/4Mi)
0.15/0.38	% (9469)Instruction limit reached! 
0.15/0.38	% (9469)------------------------------
0.15/0.38	% (9469)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.38	% (9469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.38	% (9469)Termination reason: Instruction limit
0.15/0.38	% (9469)Termination phase: Saturation
0.15/0.38	
0.15/0.38	% (9469)Time elapsed: 0.003 s
0.15/0.38	% (9469)Peak memory usage: 8 MB
0.15/0.38	% (9469)Instructions burned: 4 (million)
0.15/0.38	% (9468)Instruction limit reached! 
0.15/0.38	% (9468)------------------------------
0.15/0.38	% (9468)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.38	% (9468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.38	% (9468)Termination reason: Instruction limit
0.15/0.38	% (9468)Termination phase: Saturation
0.15/0.38	
0.15/0.38	% (9468)Time elapsed: 0.005 s
0.15/0.38	% (9468)Peak memory usage: 8 MB
0.15/0.38	% (9468)Instructions burned: 8 (million)
0.15/0.39	% (9465)Instruction limit reached! 
0.15/0.39	% (9465)------------------------------
0.15/0.39	% (9465)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.39	% (9465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.39	% (9465)Termination reason: Instruction limit
0.15/0.39	% (9465)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (9465)Time elapsed: 0.015 s
0.15/0.39	% (9465)Peak memory usage: 26 MB
0.15/0.39	% (9465)Instructions burned: 13 (million)
0.15/0.39	% (9467)First to succeed.
0.15/0.40	% (9467)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9463"
0.15/0.40	% (9463)Running in auto input_syntax mode. Trying TPTP
0.15/0.40	% (9467)Refutation found. Thanks to Tanya!
0.15/0.40	% SZS status Theorem for theBenchmark
0.15/0.40	% SZS output start Proof for theBenchmark
0.15/0.40	tff(type_def_5, type, list: $tType).
0.15/0.40	tff(func_def_0, type, nil: list).
0.15/0.40	tff(func_def_1, type, cons: ($int * list) > list).
0.15/0.40	tff(func_def_2, type, head: list > $int).
0.15/0.40	tff(func_def_3, type, tail: list > list).
0.15/0.40	tff(func_def_9, type, sK0: ($int * list) > $int).
0.15/0.40	tff(func_def_10, type, sK1: ($int * list) > list).
0.15/0.40	tff(func_def_12, type, '$inst2': $int).
0.15/0.40	tff(func_def_13, type, '$inst3': $int).
0.15/0.40	tff(pred_def_1, type, inRange: ($int * list) > $o).
0.15/0.40	tff(f179,plain,(
0.15/0.40	  $false),
0.15/0.40	  inference(subsumption_resolution,[],[f176,f126])).
0.15/0.40	tff(f126,plain,(
0.15/0.40	  ~inRange(0,cons(0,nil))),
0.15/0.40	  inference(subsumption_resolution,[],[f125,f44])).
0.15/0.40	tff(f44,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : list] : (nil != cons(X0,X1)) )),
0.15/0.40	  inference(cnf_transformation,[],[f25])).
0.15/0.40	tff(f25,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : nil != cons(X0,X1)),
0.15/0.40	  inference(rectify,[],[f5])).
0.15/0.40	tff(f5,axiom,(
0.15/0.40	  ! [X2 : $int,X1 : list] : nil != cons(X2,X1)),
0.15/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.15/0.40	tff(f125,plain,(
0.15/0.40	  nil = cons(0,nil) | ~inRange(0,cons(0,nil))),
0.15/0.40	  inference(resolution,[],[f122,f39])).
0.15/0.40	tff(f39,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : list] : (~$less(sK0(X0,X1),0) | ~inRange(X0,X1) | nil = X1) )),
0.15/0.40	  inference(cnf_transformation,[],[f33])).
0.15/0.40	tff(f33,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : (((cons(sK0(X0,X1),sK1(X0,X1)) = X1 & $less(sK0(X0,X1),X0) & ~$less(sK0(X0,X1),0) & inRange(X0,sK1(X0,X1))) | nil = X1 | ~inRange(X0,X1)) & (inRange(X0,X1) | (! [X4 : $int,X5 : list] : (cons(X4,X5) != X1 | ~$less(X4,X0) | $less(X4,0) | ~inRange(X0,X5)) & nil != X1)))),
0.15/0.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f31,f32])).
0.15/0.40	tff(f32,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : (? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & $less(X2,X0) & ~$less(X2,0) & inRange(X0,X3)) => (cons(sK0(X0,X1),sK1(X0,X1)) = X1 & $less(sK0(X0,X1),X0) & ~$less(sK0(X0,X1),0) & inRange(X0,sK1(X0,X1))))),
0.15/0.40	  introduced(definition,[],[choice_axiom])).
0.15/0.40	tff(f31,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : ((? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & $less(X2,X0) & ~$less(X2,0) & inRange(X0,X3)) | nil = X1 | ~inRange(X0,X1)) & (inRange(X0,X1) | (! [X4 : $int,X5 : list] : (cons(X4,X5) != X1 | ~$less(X4,X0) | $less(X4,0) | ~inRange(X0,X5)) & nil != X1)))),
0.15/0.40	  inference(rectify,[],[f30])).
0.15/0.40	tff(f30,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : ((? [X3 : $int,X2 : list] : (cons(X3,X2) = X1 & $less(X3,X0) & ~$less(X3,0) & inRange(X0,X2)) | nil = X1 | ~inRange(X0,X1)) & (inRange(X0,X1) | (! [X3 : $int,X2 : list] : (cons(X3,X2) != X1 | ~$less(X3,X0) | $less(X3,0) | ~inRange(X0,X2)) & nil != X1)))),
0.15/0.40	  inference(flattening,[],[f29])).
0.15/0.40	tff(f29,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : (((? [X3 : $int,X2 : list] : (cons(X3,X2) = X1 & $less(X3,X0) & ~$less(X3,0) & inRange(X0,X2)) | nil = X1) | ~inRange(X0,X1)) & (inRange(X0,X1) | (! [X3 : $int,X2 : list] : (cons(X3,X2) != X1 | ~$less(X3,X0) | $less(X3,0) | ~inRange(X0,X2)) & nil != X1)))),
0.15/0.40	  inference(nnf_transformation,[],[f23])).
0.15/0.40	tff(f23,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : ((? [X3 : $int,X2 : list] : (cons(X3,X2) = X1 & $less(X3,X0) & ~$less(X3,0) & inRange(X0,X2)) | nil = X1) <=> inRange(X0,X1))),
0.15/0.40	  inference(rectify,[],[f9])).
0.15/0.40	tff(f9,plain,(
0.15/0.40	  ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (? [X3 : list,X2 : $int] : (~$less(X2,0) & cons(X2,X3) = X1 & inRange(X0,X3) & $less(X2,X0)) | nil = X1))),
0.15/0.40	  inference(theory_normalization,[],[f3])).
0.15/0.40	tff(f3,negated_conjecture,(
0.15/0.40	  ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (? [X3 : list,X2 : $int] : ($lesseq(0,X2) & cons(X2,X3) = X1 & inRange(X0,X3) & $less(X2,X0)) | nil = X1))),
0.15/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.15/0.40	tff(f122,plain,(
0.15/0.40	  $less(sK0(0,cons(0,nil)),0)),
0.15/0.40	  inference(subsumption_resolution,[],[f82,f44])).
0.15/0.40	tff(f82,plain,(
0.15/0.40	  $less(sK0(0,cons(0,nil)),0) | nil = cons(0,nil)),
0.15/0.40	  inference(resolution,[],[f65,f46])).
0.15/0.40	tff(f46,plain,(
0.15/0.40	  ( ! [X0 : $int] : (inRange(X0,nil)) )),
0.15/0.40	  inference(equality_resolution,[],[f36])).
0.15/0.40	tff(f36,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : list] : (inRange(X0,X1) | nil != X1) )),
0.15/0.40	  inference(cnf_transformation,[],[f33])).
0.15/0.40	tff(f65,plain,(
0.15/0.40	  ( ! [X0 : list] : (~inRange(1,X0) | $less(sK0(0,cons(0,X0)),0) | nil = cons(0,X0)) )),
0.15/0.40	  inference(evaluation,[],[f64])).
0.15/0.40	tff(f64,plain,(
0.15/0.40	  ( ! [X0 : list] : (nil = cons(0,X0) | ~inRange(1,X0) | $less(sK0($sum(1,-1),cons(0,X0)),$sum(1,-1))) )),
0.15/0.40	  inference(resolution,[],[f50,f52])).
0.15/0.40	tff(f52,plain,(
0.15/0.40	  ( ! [X5 : list] : (inRange(1,cons(0,X5)) | ~inRange(1,X5)) )),
0.15/0.40	  inference(interpreted_simplification,[],[f51])).
0.15/0.40	tff(f51,plain,(
0.15/0.40	  ( ! [X5 : list] : (inRange(1,cons(0,X5)) | ~$less(0,1) | ~inRange(1,X5) | $less(0,0)) )),
0.15/0.40	  inference(instantiation,[],[f45])).
0.15/0.40	tff(f45,plain,(
0.15/0.40	  ( ! [X0 : $int,X4 : $int,X5 : list] : (inRange(X0,cons(X4,X5)) | ~$less(X4,X0) | ~inRange(X0,X5) | $less(X4,0)) )),
0.15/0.40	  inference(equality_resolution,[],[f37])).
0.15/0.40	tff(f37,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : list,X4 : $int,X5 : list] : (inRange(X0,X1) | cons(X4,X5) != X1 | ~$less(X4,X0) | $less(X4,0) | ~inRange(X0,X5)) )),
0.15/0.40	  inference(cnf_transformation,[],[f33])).
0.15/0.40	tff(f50,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : list] : (~inRange(X0,X1) | nil = X1 | $less(sK0($sum(X0,-1),X1),$sum(X0,-1))) )),
0.15/0.40	  inference(resolution,[],[f40,f47])).
0.15/0.40	tff(f47,plain,(
0.15/0.40	  ( ! [X0 : list,X1 : $int] : (inRange($sum(X1,-1),X0) | ~inRange(X1,X0)) )),
0.15/0.40	  inference(evaluation,[],[f35])).
0.15/0.40	tff(f35,plain,(
0.15/0.40	  ( ! [X0 : list,X1 : $int] : (~inRange(X1,X0) | inRange($sum(X1,$uminus(1)),X0)) )),
0.15/0.40	  inference(cnf_transformation,[],[f28])).
0.15/0.40	tff(f28,plain,(
0.15/0.40	  ! [X0 : list,X1 : $int] : (~inRange(X1,X0) | inRange($sum(X1,$uminus(1)),X0))),
0.15/0.40	  inference(ennf_transformation,[],[f22])).
0.15/0.40	tff(f22,plain,(
0.15/0.40	  ! [X1 : $int,X0 : list] : (inRange(X1,X0) => inRange($sum(X1,$uminus(1)),X0))),
0.15/0.40	  inference(rectify,[],[f8])).
0.15/0.40	tff(f8,plain,(
0.15/0.40	  ! [X1 : list,X0 : $int] : (inRange(X0,X1) => inRange($sum(X0,$uminus(1)),X1))),
0.15/0.40	  inference(theory_normalization,[],[f2])).
0.15/0.40	tff(f2,negated_conjecture,(
0.15/0.40	  ~~! [X1 : list,X0 : $int] : (inRange(X0,X1) => inRange($difference(X0,1),X1))),
0.15/0.40	  inference(negated_conjecture,[status(cth)],[f1])).
0.15/0.40	tff(f1,conjecture,(
0.15/0.40	  ~! [X1 : list,X0 : $int] : (inRange(X0,X1) => inRange($difference(X0,1),X1))),
0.15/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.15/0.40	tff(f40,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : list] : (~inRange(X0,X1) | $less(sK0(X0,X1),X0) | nil = X1) )),
0.15/0.40	  inference(cnf_transformation,[],[f33])).
0.15/0.40	tff(f176,plain,(
0.15/0.40	  inRange(0,cons(0,nil))),
0.15/0.40	  inference(resolution,[],[f166,f46])).
0.15/0.40	tff(f166,plain,(
0.15/0.40	  ( ! [X0 : list] : (~inRange(1,X0) | inRange(0,cons(0,X0))) )),
0.15/0.40	  inference(resolution,[],[f158,f52])).
0.15/0.40	tff(f158,plain,(
0.15/0.40	  ( ! [X0 : list] : (~inRange(1,X0) | inRange(0,X0)) )),
0.15/0.40	  inference(evaluation,[],[f155])).
0.15/0.40	tff(f155,plain,(
0.15/0.40	  ( ! [X0 : list] : (~inRange($uminus(-1),X0) | inRange(0,X0)) )),
0.15/0.40	  inference(superposition,[],[f145,f14])).
0.15/0.40	tff(f14,plain,(
0.15/0.40	  ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
0.15/0.40	  introduced(definition,[],[theory_axiom_166])).
0.15/0.40	tff(f145,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : list] : (inRange($sum(-1,X0),X1) | ~inRange(X0,X1)) )),
0.15/0.40	  inference(superposition,[],[f47,f10])).
0.15/0.40	tff(f10,plain,(
0.15/0.40	  ( ! [X0 : $int,X1 : $int] : ($sum(X1,X0) = $sum(X0,X1)) )),
0.15/0.40	  introduced(definition,[],[theory_axiom_161])).
0.15/0.40	% SZS output end Proof for theBenchmark
0.15/0.40	% (9467)------------------------------
0.15/0.40	% (9467)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.40	% (9467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.40	% (9467)Termination reason: Refutation
0.15/0.40	
0.15/0.40	% (9467)Time elapsed: 0.022 s
0.15/0.40	% (9467)Peak memory usage: 29 MB
0.15/0.40	% (9467)Instructions burned: 24 (million)
0.15/0.40	% (9467)------------------------------
0.15/0.40	% (9467)------------------------------
0.15/0.40	% (9463)Success in time 0.096 s
0.15/0.40	EOF