0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d THM
0.12/0.32	% Computer   : n029.cluster.edu
0.12/0.32	% Model      : x86_64 x86_64
0.12/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory     : 8042.1875MB
0.12/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 960
0.12/0.32	% WCLimit    : 120
0.12/0.32	% DateTime   : Wed Jul 30 06:13:19 EDT 2025
0.12/0.32	% CPUTime    : 
0.12/0.34	This is a TFF_ problem
0.12/0.34	Running first-order theorem proving
0.12/0.34	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.19/0.41	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.41	% (16218)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=512798905:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi)
0.19/0.41	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.41	% (16220)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4135107073:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi)
0.19/0.41	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.41	% (16215)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3304926292:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi)
0.19/0.41	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.41	% (16214)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=3460889477:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi)
0.19/0.41	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.41	% (16219)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3979776944:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi)
0.19/0.41	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.41	% (16216)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1783707970:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi)
0.19/0.41	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.41	% (16217)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3319338740:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi)
0.19/0.42	% (16218)Instruction limit reached! 
0.19/0.42	% (16218)------------------------------
0.19/0.42	% (16218)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.19/0.42	% (16218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.42	% (16218)Termination reason: Instruction limit
0.19/0.42	% (16218)Termination phase: Saturation
0.19/0.42	
0.19/0.42	% (16218)Time elapsed: 0.003 s
0.19/0.42	% (16218)Peak memory usage: 8 MB
0.19/0.42	% (16218)Instructions burned: 5 (million)
0.19/0.42	% (16217)Instruction limit reached! 
0.19/0.42	% (16217)------------------------------
0.19/0.42	% (16217)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.19/0.42	% (16217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.42	% (16217)Termination reason: Instruction limit
0.19/0.42	% (16217)Termination phase: Saturation
0.19/0.42	
0.19/0.42	% (16217)Time elapsed: 0.004 s
0.19/0.42	% (16217)Peak memory usage: 8 MB
0.19/0.42	% (16217)Instructions burned: 7 (million)
0.19/0.43	% (16214)Also succeeded, but the first one will report.
0.19/0.43	% (16219)First to succeed.
0.19/0.43	% (16215)Also succeeded, but the first one will report.
0.19/0.43	% (16220)Also succeeded, but the first one will report.
0.19/0.43	% (16219)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16211"
0.19/0.43	% (16211)Running in auto input_syntax mode. Trying TPTP
0.19/0.43	% (16219)Refutation found. Thanks to Tanya!
0.19/0.43	% SZS status Theorem for theBenchmark
0.19/0.43	% SZS output start Proof for theBenchmark
0.19/0.43	tff(type_def_5, type, uni: $tType).
0.19/0.43	tff(type_def_6, type, ty: $tType).
0.19/0.43	tff(type_def_7, type, bool1: $tType).
0.19/0.43	tff(type_def_8, type, tuple02: $tType).
0.19/0.43	tff(type_def_9, type, uf_pure1: $tType).
0.19/0.43	tff(type_def_10, type, uf1: $tType).
0.19/0.43	tff(type_def_11, type, graph1: $tType).
0.19/0.43	tff(func_def_0, type, witness1: ty > uni).
0.19/0.43	tff(func_def_1, type, int: ty).
0.19/0.43	tff(func_def_2, type, real: ty).
0.19/0.43	tff(func_def_3, type, bool: ty).
0.19/0.43	tff(func_def_4, type, true1: bool1).
0.19/0.43	tff(func_def_5, type, false1: bool1).
0.19/0.43	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
0.19/0.43	tff(func_def_7, type, tuple0: ty).
0.19/0.43	tff(func_def_8, type, tuple03: tuple02).
0.19/0.43	tff(func_def_9, type, qtmark: ty).
0.19/0.43	tff(func_def_10, type, ref: ty > ty).
0.19/0.43	tff(func_def_11, type, mk_ref: (ty * uni) > uni).
0.19/0.43	tff(func_def_12, type, contents: (ty * uni) > uni).
0.19/0.43	tff(func_def_13, type, uf_pure: ty).
0.19/0.43	tff(func_def_14, type, size1: uf_pure1 > $int).
0.19/0.43	tff(func_def_15, type, num1: uf_pure1 > $int).
0.19/0.43	tff(func_def_16, type, uf: ty).
0.19/0.43	tff(func_def_17, type, mk_uf1: uf_pure1 > uf1).
0.19/0.43	tff(func_def_18, type, state1: uf1 > uf_pure1).
0.19/0.43	tff(func_def_19, type, graph: ty).
0.19/0.43	tff(func_def_24, type, sK2: $int).
0.19/0.43	tff(func_def_25, type, sK3: $int).
0.19/0.43	tff(func_def_26, type, sK4: $int).
0.19/0.43	tff(func_def_27, type, sK5: ($int * graph1 * $int) > $int).
0.19/0.43	tff(func_def_28, type, sK6: ($int * graph1 * $int) > graph1).
0.19/0.43	tff(func_def_29, type, sK7: ($int * graph1 * $int) > $int).
0.19/0.43	tff(func_def_30, type, sK8: ($int * $int * graph1) > graph1).
0.19/0.43	tff(func_def_31, type, sK9: ($int * $int * graph1) > $int).
0.19/0.43	tff(func_def_32, type, sK10: ($int * $int * graph1) > $int).
0.19/0.43	tff(func_def_33, type, sK11: ($int * $int * graph1) > $int).
0.19/0.43	tff(func_def_34, type, sK12: ($int * graph1 * $int) > $int).
0.19/0.43	tff(func_def_35, type, sK13: ($int * graph1 * $int) > graph1).
0.19/0.43	tff(func_def_36, type, sK14: (uf_pure1 * $int) > $int).
0.19/0.43	tff(pred_def_1, type, sort1: (ty * uni) > $o).
0.19/0.43	tff(pred_def_2, type, repr1: (uf_pure1 * $int * $int) > $o).
0.19/0.43	tff(pred_def_3, type, same1: (uf_pure1 * $int * $int) > $o).
0.19/0.43	tff(pred_def_4, type, same_reprs1: (uf_pure1 * uf_pure1) > $o).
0.19/0.43	tff(pred_def_5, type, path1: (graph1 * $int * $int) > $o).
0.19/0.43	tff(pred_def_8, type, sP0: ($int * $int * graph1) > $o).
0.19/0.43	tff(pred_def_9, type, sP1: ($int * graph1 * $int) > $o).
0.19/0.43	tff(f179,plain,(
0.19/0.43	  $false),
0.19/0.43	  inference(avatar_smt_refutation,[],[f148,f153,f158,f163,f168,f173,f178])).
0.19/0.43	tff(f178,plain,(
0.19/0.43	  ~spl15_7),
0.19/0.43	  inference(avatar_split_clause,[],[f103,f175])).
0.19/0.43	tff(f175,definition,(
0.19/0.43	  spl15_7 <=> true1 = false1),
0.19/0.43	  introduced(definition,[new_symbols(naming,[spl15_7])],[avatar_definition])).
0.19/0.43	tff(f103,plain,(
0.19/0.43	  true1 != false1),
0.19/0.43	  inference(cnf_transformation,[],[f12])).
0.19/0.43	tff(f12,axiom,(
0.19/0.43	  true1 != false1),
0.19/0.43	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.19/0.43	tff(f173,plain,(
0.19/0.43	  spl15_6),
0.19/0.43	  inference(avatar_split_clause,[],[f106,f170])).
0.19/0.43	tff(f170,definition,(
0.19/0.43	  spl15_6 <=> $less(sK4,sK3)),
0.19/0.43	  introduced(definition,[new_symbols(naming,[spl15_6])],[avatar_definition])).
0.19/0.43	tff(f106,plain,(
0.19/0.43	  $less(sK4,sK3)),
0.19/0.43	  inference(cnf_transformation,[],[f77])).
0.19/0.43	tff(f77,plain,(
0.19/0.43	  ~$less(sK2,0) & ~$less($sum($product(sK2,sK3),sK4),$product(sK3,sK3)) & ~$less(sK4,0) & $less(sK2,sK3) & ~$less(sK3,0) & $less(sK4,sK3)),
0.19/0.43	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f75,f76])).
0.19/0.43	tff(f76,plain,(
0.19/0.43	  ? [X0 : $int,X1 : $int,X2 : $int] : (~$less(X0,0) & ~$less($sum($product(X0,X1),X2),$product(X1,X1)) & ~$less(X2,0) & $less(X0,X1) & ~$less(X1,0) & $less(X2,X1)) => (~$less(sK2,0) & ~$less($sum($product(sK2,sK3),sK4),$product(sK3,sK3)) & ~$less(sK4,0) & $less(sK2,sK3) & ~$less(sK3,0) & $less(sK4,sK3))),
0.19/0.43	  introduced(definition,[],[choice_axiom])).
0.19/0.43	tff(f75,plain,(
0.19/0.43	  ? [X0 : $int,X1 : $int,X2 : $int] : (~$less(X0,0) & ~$less($sum($product(X0,X1),X2),$product(X1,X1)) & ~$less(X2,0) & $less(X0,X1) & ~$less(X1,0) & $less(X2,X1))),
0.19/0.43	  inference(rectify,[],[f66])).
0.19/0.43	tff(f66,plain,(
0.19/0.43	  ? [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,0) & ~$less($sum($product(X2,X0),X1),$product(X0,X0)) & ~$less(X1,0) & $less(X2,X0) & ~$less(X0,0) & $less(X1,X0))),
0.19/0.43	  inference(flattening,[],[f65])).
0.19/0.43	tff(f65,plain,(
0.19/0.43	  ? [X1 : $int,X2 : $int,X0 : $int] : (((~$less($sum($product(X2,X0),X1),$product(X0,X0)) & ($less(X1,X0) & ~$less(X1,0))) & ($less(X2,X0) & ~$less(X2,0))) & ~$less(X0,0))),
0.19/0.43	  inference(ennf_transformation,[],[f36])).
0.19/0.43	tff(f36,plain,(
0.19/0.43	  ~! [X1 : $int,X2 : $int,X0 : $int] : (~$less(X0,0) => (($less(X2,X0) & ~$less(X2,0)) => (($less(X1,X0) & ~$less(X1,0)) => $less($sum($product(X2,X0),X1),$product(X0,X0)))))),
0.19/0.43	  inference(rectify,[],[f27])).
0.19/0.43	tff(f27,plain,(
0.19/0.43	  ~! [X4 : $int,X2 : $int,X1 : $int] : (~$less(X4,0) => (($less(X1,X4) & ~$less(X1,0)) => ((~$less(X2,0) & $less(X2,X4)) => $less($sum($product(X1,X4),X2),$product(X4,X4)))))),
0.19/0.43	  inference(theory_normalization,[],[f4])).
0.19/0.43	tff(f4,negated_conjecture,(
0.19/0.43	  ~! [X4 : $int,X2 : $int,X1 : $int] : ($lesseq(0,X4) => (($less(X1,X4) & $lesseq(0,X1)) => (($lesseq(0,X2) & $less(X2,X4)) => $less($sum($product(X1,X4),X2),$product(X4,X4)))))),
0.19/0.43	  inference(negated_conjecture,[status(cth)],[f3])).
0.19/0.43	tff(f3,conjecture,(
0.19/0.43	  ! [X4 : $int,X2 : $int,X1 : $int] : ($lesseq(0,X4) => (($less(X1,X4) & $lesseq(0,X1)) => (($lesseq(0,X2) & $less(X2,X4)) => $less($sum($product(X1,X4),X2),$product(X4,X4)))))),
0.19/0.43	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.19/0.43	tff(f168,plain,(
0.19/0.43	  spl15_5),
0.19/0.43	  inference(avatar_split_clause,[],[f108,f165])).
0.19/0.43	tff(f165,definition,(
0.19/0.43	  spl15_5 <=> $less(sK2,sK3)),
0.19/0.43	  introduced(definition,[new_symbols(naming,[spl15_5])],[avatar_definition])).
0.19/0.43	tff(f108,plain,(
0.19/0.43	  $less(sK2,sK3)),
0.19/0.43	  inference(cnf_transformation,[],[f77])).
0.19/0.43	tff(f163,plain,(
0.19/0.43	  ~spl15_4),
0.19/0.43	  inference(avatar_split_clause,[],[f107,f160])).
0.19/0.43	tff(f160,definition,(
0.19/0.43	  spl15_4 <=> $less(sK3,0)),
0.19/0.43	  introduced(definition,[new_symbols(naming,[spl15_4])],[avatar_definition])).
0.19/0.43	tff(f107,plain,(
0.19/0.43	  ~$less(sK3,0)),
0.19/0.43	  inference(cnf_transformation,[],[f77])).
0.19/0.43	tff(f158,plain,(
0.19/0.43	  ~spl15_3),
0.19/0.43	  inference(avatar_split_clause,[],[f110,f155])).
0.19/0.43	tff(f155,definition,(
0.19/0.43	  spl15_3 <=> $less($sum($product(sK2,sK3),sK4),$product(sK3,sK3))),
0.19/0.43	  introduced(definition,[new_symbols(naming,[spl15_3])],[avatar_definition])).
0.19/0.43	tff(f110,plain,(
0.19/0.43	  ~$less($sum($product(sK2,sK3),sK4),$product(sK3,sK3))),
0.19/0.43	  inference(cnf_transformation,[],[f77])).
0.19/0.43	tff(f153,plain,(
0.19/0.43	  ~spl15_2),
0.19/0.43	  inference(avatar_split_clause,[],[f111,f150])).
0.19/0.43	tff(f150,definition,(
0.19/0.43	  spl15_2 <=> $less(sK2,0)),
0.19/0.43	  introduced(definition,[new_symbols(naming,[spl15_2])],[avatar_definition])).
0.19/0.43	tff(f111,plain,(
0.19/0.43	  ~$less(sK2,0)),
0.19/0.43	  inference(cnf_transformation,[],[f77])).
0.19/0.43	tff(f148,plain,(
0.19/0.43	  ~spl15_1),
0.19/0.43	  inference(avatar_split_clause,[],[f109,f145])).
0.19/0.43	tff(f145,definition,(
0.19/0.43	  spl15_1 <=> $less(sK4,0)),
0.19/0.43	  introduced(definition,[new_symbols(naming,[spl15_1])],[avatar_definition])).
0.19/0.43	tff(f109,plain,(
0.19/0.43	  ~$less(sK4,0)),
0.19/0.43	  inference(cnf_transformation,[],[f77])).
0.19/0.43	% SZS output end Proof for theBenchmark
0.19/0.43	% (16219)------------------------------
0.19/0.43	% (16219)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.19/0.43	% (16219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.43	% (16219)Termination reason: Refutation
0.19/0.43	
0.19/0.43	% (16219)Time elapsed: 0.017 s
0.19/0.43	% (16219)Peak memory usage: 29 MB
0.19/0.43	% (16219)Instructions burned: 14 (million)
0.19/0.43	% (16219)------------------------------
0.19/0.43	% (16219)------------------------------
0.19/0.43	% (16211)Success in time 0.092 s
0.19/0.43	EOF