%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM244_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:39:52 AM UTC 2026
% Result : Theorem 2.74s 1.16s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 23 ~; 7 |; 17 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 52 ( 52 usr; 7 con; 0-3 aty)
% Number of variables : 13 ( 9 !; 4 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
vTerm: $tType ).
tff(type_def_6,type,
vOptTerm: $tType ).
tff(type_def_7,type,
vTy: $tType ).
tff(func_def_0,type,
vNat: vTy ).
tff(func_def_1,type,
vSucc: vTerm > vTerm ).
tff(func_def_2,type,
vPred: vTerm > vTerm ).
tff(func_def_3,type,
vsomeTerm: vTerm > vOptTerm ).
tff(func_def_4,type,
vZero: vTerm ).
tff(func_def_5,type,
vIszero: vTerm > vTerm ).
tff(func_def_6,type,
vTrue: vTerm ).
tff(func_def_7,type,
vFalse: vTerm ).
tff(func_def_8,type,
vnoTerm: vOptTerm ).
tff(func_def_9,type,
vPlus: ( vTerm * vTerm ) > vTerm ).
tff(func_def_10,type,
vB: vTy ).
tff(func_def_11,type,
vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_12,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_13,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_14,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_15,type,
sK1: vTy ).
tff(func_def_16,type,
sK2: vTerm > vTerm ).
tff(func_def_17,type,
sK3: vTerm > vTerm ).
tff(func_def_18,type,
sK4: vTerm > vTerm ).
tff(func_def_19,type,
sK5: vTerm > vTerm ).
tff(func_def_20,type,
sK6: vTerm > vTerm ).
tff(func_def_21,type,
sK7: vTerm > vTerm ).
tff(func_def_22,type,
sK8: vTerm > vTerm ).
tff(func_def_23,type,
sK9: vTerm > vTerm ).
tff(func_def_24,type,
sK10: vTerm > vTerm ).
tff(func_def_25,type,
sK11: vTerm > vTerm ).
tff(func_def_26,type,
sK12: vTerm > vTerm ).
tff(func_def_27,type,
sK13: vTerm > vTerm ).
tff(func_def_28,type,
sK14: vTerm > vTerm ).
tff(func_def_29,type,
sK15: vTerm > vTerm ).
tff(func_def_30,type,
sK16: vTerm > vTerm ).
tff(func_def_31,type,
sK17: vTerm > vTerm ).
tff(func_def_32,type,
sK18: vTerm > vTerm ).
tff(func_def_33,type,
sK19: vTerm > vTerm ).
tff(func_def_34,type,
sK20: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_35,type,
sK21: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_36,type,
sK22: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_37,type,
sK23: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_38,type,
sK24: vOptTerm > vTerm ).
tff(func_def_39,type,
sK25: vTerm > vTerm ).
tff(func_def_40,type,
sK26: vTerm > vTerm ).
tff(func_def_41,type,
sK27: vTerm > vTerm ).
tff(func_def_42,type,
sK28: vTerm > vTerm ).
tff(func_def_43,type,
sK29: vTerm > vTerm ).
tff(func_def_44,type,
sK30: vTerm > vTerm ).
tff(func_def_45,type,
sK31: vTerm > vTerm ).
tff(func_def_46,type,
sK32: vTerm > vTerm ).
tff(func_def_47,type,
sK33: vTerm > vTerm ).
tff(func_def_48,type,
sK34: vTerm > vTerm ).
tff(func_def_49,type,
sK35: vTerm > vTerm ).
tff(func_def_50,type,
sK36: vTerm > vTerm ).
tff(func_def_51,type,
sK37: vOptTerm > vTerm ).
tff(pred_def_1,type,
visValue: vTerm > $o ).
tff(pred_def_2,type,
visNV: vTerm > $o ).
tff(pred_def_3,type,
visSomeTerm: vOptTerm > $o ).
tff(pred_def_4,type,
vptchecksimple: ( vTerm * vTy ) > $o ).
tff(pred_def_5,type,
sP0: ( vTerm * vTerm * vTerm ) > $o ).
tff(f41,axiom,
visNV(vZero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isNV-0') ).
tff(f50,axiom,
! [X0: vTerm] :
( ~ visValue(X0)
=> ? [X1: vTerm] :
( ( X1 != vTrue )
& ( X1 != vFalse )
& ( X0 = X1 )
& ~ visNV(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isValue-false-INV') ).
tff(f105,conjecture,
! [X0: vTy] :
( ( vptchecksimple(vZero,X0)
& ~ visValue(vZero) )
=> ( vreduce(vZero) != vnoTerm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Progress-Zero') ).
tff(f106,negated_conjecture,
~ ! [X0: vTy] :
( ( vptchecksimple(vZero,X0)
& ~ visValue(vZero) )
=> ( vreduce(vZero) != vnoTerm ) ),
inference(negated_conjecture,[status(cth)],[f105]) ).
tff(f109,plain,
? [X0: vTy] :
( ( vnoTerm = vreduce(vZero) )
& vptchecksimple(vZero,X0)
& ~ visValue(vZero) ),
inference(ennf_transformation,[],[f106]) ).
tff(f110,plain,
? [X0: vTy] :
( ( vnoTerm = vreduce(vZero) )
& vptchecksimple(vZero,X0)
& ~ visValue(vZero) ),
inference(flattening,[],[f109]) ).
tff(f111,plain,
! [X0: vTerm] :
( ? [X1: vTerm] :
( ( X1 != vTrue )
& ( X1 != vFalse )
& ( X0 = X1 )
& ~ visNV(X1) )
| visValue(X0) ),
inference(ennf_transformation,[],[f50]) ).
tff(f153,plain,
( ( vnoTerm = vreduce(vZero) )
& vptchecksimple(vZero,sK1)
& ~ visValue(vZero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f110]) ).
tff(f154,plain,
! [X0: vTerm] :
( ( ( vTrue != sK2(X0) )
& ( vFalse != sK2(X0) )
& ( sK2(X0) = X0 )
& ~ visNV(sK2(X0)) )
| visValue(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f111]) ).
tff(f171,plain,
~ visValue(vZero),
inference(cnf_transformation,[],[f153]) ).
tff(f174,plain,
! [X0: vTerm] :
( ~ visNV(sK2(X0))
| visValue(X0) ),
inference(cnf_transformation,[],[f154]) ).
tff(f175,plain,
! [X0: vTerm] :
( ( sK2(X0) = X0 )
| visValue(X0) ),
inference(cnf_transformation,[],[f154]) ).
tff(f217,plain,
visNV(vZero),
inference(cnf_transformation,[],[f41]) ).
tff(f267,plain,
! [X0: vTerm] :
( ~ visNV(X0)
| visValue(X0)
| visValue(X0) ),
inference(superposition,[],[f174,f175]) ).
tff(f268,plain,
! [X0: vTerm] :
( visValue(X0)
| ~ visNV(X0) ),
inference(duplicate_literal_removal,[],[f267]) ).
tff(f269,plain,
~ visNV(vZero),
inference(resolution,[],[f268,f171]) ).
tff(f270,plain,
$false,
inference(forward_subsumption_resolution,[],[f269,f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM244_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n001.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 22:08:19 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/1.16 % (797704)Detected formulas, will run a generic FOF schedule.
% 2.74/1.16 % (797814)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3145339436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.74/1.16 % (797814)First to succeed.
% 2.74/1.16 % (797814)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-797704"
% 2.74/1.16 % (797813)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2013023070:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.74/1.16 % (797810)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3733875117:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.74/1.16 % (797812)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=761956865:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.74/1.16 % (797811)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=52887203:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.74/1.16 % (797813)Refutation not found, incomplete strategy
% 2.74/1.16 % (797813)------------------------------
% 2.74/1.16 % (797813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.16 % (797813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.16 % (797813)CaDiCaL version: 2.1.3
% 2.74/1.16 % (797813)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.16 % (797813)Time elapsed: 0.003 s
% 2.74/1.16 % (797813)Peak memory usage: 88 MB
% 2.74/1.16 % (797813)Instructions burned: 3 (million)
% 2.74/1.16 % (797816)dis-21_1_sil=8000:lcm=predicate:random_seed=1502320686:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.74/1.16 % (797815)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2894824516:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.74/1.16 % (797815)Also succeeded, but the first one will report.
% 2.74/1.16 % (797816)Also succeeded, but the first one will report.
% 2.74/1.16 % (797814)Refutation found. Thanks to Tanya!
% 2.74/1.16 % SZS status Theorem for theBenchmark
% 2.74/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.16 % (797814)------------------------------
% 2.74/1.16 % (797814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.16 % (797814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.16 % (797814)CaDiCaL version: 2.1.3
% 2.74/1.16 % (797814)Termination reason: Refutation
% 2.74/1.16 % (797814)Time elapsed: 0.003 s
% 2.74/1.16 % (797814)Peak memory usage: 88 MB
% 2.74/1.16 % (797814)Instructions burned: 4 (million)
% 2.74/1.16 % (797814)------------------------------
% 2.74/1.16 % (797814)------------------------------
% 2.74/1.16 % (797704)Success in time 0.301 s
% 2.74/1.16 % Vampire exiting
%------------------------------------------------------------------------------