%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV640-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:19:09 PM UTC 2026
% Result : Unsatisfiable 6.89s 1.85s
% Output : Refutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 13 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-5 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f418,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
| c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq_0) ).
fof(f1007,axiom,
! [X0,X1] : ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__add__less2_0) ).
fof(f1864,axiom,
! [X0] : hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__mult__1_0) ).
fof(f1936,axiom,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f2082,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f2084,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f2447,plain,
! [X2,X3,X0,X1,X4] : hAPP(X0,hAPP(X1,X0)) = hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X0),
inference(superposition,[],[f2082,f1936]) ).
fof(f2450,plain,
! [X2,X3,X0,X1,X4] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X0,X1,X2,X3),X4),hAPP(X0,X4),tc_nat),
inference(superposition,[],[f1007,f2082]) ).
fof(f2457,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBB(X0,X1,X3,X4,X5),X6,X7,X8),X2),hAPP(X0,hAPP(X1,X2)),tc_nat),
inference(superposition,[],[f2450,f2084]) ).
fof(f2500,plain,
! [X2,X3,X0,X1] : hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X1,X2,X3),X0) = hAPP(X0,X0),
inference(superposition,[],[f2447,f1864]) ).
fof(f2538,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X1,X2,X3),X4,X5,X6),X0),hAPP(X0,X0),tc_nat),
inference(superposition,[],[f2450,f2500]) ).
fof(f2562,plain,
$false,
inference(unit_resulting_resolution,[],[f418,f2457,f2538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV640-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.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 : Mon Sep 28 12:07:18 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 6.89/1.85 % (3959428)Input is clausal, will run a generic CNF schedule.
% 6.89/1.85 % (3959436)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2091171877:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.89/1.85 % (3959437)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2175889029:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.89/1.85 % (3959435)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=2215521018:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.89/1.85 % (3959441)dis-21_1_sil=8000:lcm=predicate:random_seed=2304135873:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.89/1.85 % (3959440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1941700181:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.89/1.85 % (3959439)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=696922667:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.89/1.85 % (3959438)lrs+10_1_sil=8000:sp=occurrence:random_seed=1042043084:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.89/1.85 % (3959441)Instruction limit reached!
% 6.89/1.85 % (3959441)------------------------------
% 6.89/1.85 % (3959441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959441)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959441)Termination reason: Instruction limit
% 6.89/1.85 % (3959441)Termination phase: Saturation
% 6.89/1.85 % (3959441)Time elapsed: 0.058 s
% 6.89/1.85 % (3959441)Peak memory usage: 89 MB
% 6.89/1.85 % (3959441)Instructions burned: 118 (million)
% 6.89/1.85 % (3959438)Instruction limit reached!
% 6.89/1.85 % (3959438)------------------------------
% 6.89/1.85 % (3959438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959438)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959438)Termination reason: Instruction limit
% 6.89/1.85 % (3959438)Termination phase: Saturation
% 6.89/1.85 % (3959438)Time elapsed: 0.066 s
% 6.89/1.85 % (3959438)Peak memory usage: 90 MB
% 6.89/1.85 % (3959438)Instructions burned: 108 (million)
% 6.89/1.85 % (3959439)Instruction limit reached!
% 6.89/1.85 % (3959439)------------------------------
% 6.89/1.85 % (3959439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959439)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959439)Termination reason: Instruction limit
% 6.89/1.85 % (3959439)Termination phase: Saturation
% 6.89/1.85 % (3959439)Time elapsed: 0.072 s
% 6.89/1.85 % (3959439)Peak memory usage: 90 MB
% 6.89/1.85 % (3959439)Instructions burned: 114 (million)
% 6.89/1.85 % (3959440)Instruction limit reached!
% 6.89/1.85 % (3959440)------------------------------
% 6.89/1.85 % (3959440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959440)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959440)Termination reason: Instruction limit
% 6.89/1.85 % (3959440)Termination phase: Saturation
% 6.89/1.85 % (3959440)Time elapsed: 0.100 s
% 6.89/1.85 % (3959440)Peak memory usage: 90 MB
% 6.89/1.85 % (3959440)Instructions burned: 180 (million)
% 6.89/1.85 % (3959449)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1697662276:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.89/1.85 % (3959450)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3169929044:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.89/1.85 % (3959451)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=278526559:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.89/1.85 % (3959449)Refutation not found, incomplete strategy
% 6.89/1.85 % (3959449)------------------------------
% 6.89/1.85 % (3959449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959449)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959449)Termination reason: Refutation not found, incomplete strategy
% 6.89/1.85 % (3959449)Time elapsed: 0.026 s
% 6.89/1.85 % (3959449)Peak memory usage: 90 MB
% 6.89/1.85 % (3959449)Instructions burned: 42 (million)
% 6.89/1.85 % (3959452)lrs+10_64_to=lpo:sil=8000:random_seed=745049945:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.89/1.85 % (3959452)Instruction limit reached!
% 6.89/1.85 % (3959452)------------------------------
% 6.89/1.85 % (3959452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959452)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959452)Termination reason: Instruction limit
% 6.89/1.85 % (3959452)Termination phase: Saturation
% 6.89/1.85 % (3959452)Time elapsed: 0.068 s
% 6.89/1.85 % (3959452)Peak memory usage: 90 MB
% 6.89/1.85 % (3959452)Instructions burned: 127 (million)
% 6.89/1.85 % (3959450)Instruction limit reached!
% 6.89/1.85 % (3959450)------------------------------
% 6.89/1.85 % (3959450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959450)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959450)Termination reason: Instruction limit
% 6.89/1.85 % (3959450)Termination phase: Saturation
% 6.89/1.85 % (3959450)Time elapsed: 0.097 s
% 6.89/1.85 % (3959450)Peak memory usage: 91 MB
% 6.89/1.85 % (3959450)Instructions burned: 190 (million)
% 6.89/1.85 % (3959451)Instruction limit reached!
% 6.89/1.85 % (3959451)------------------------------
% 6.89/1.85 % (3959451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959451)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959451)Termination reason: Instruction limit
% 6.89/1.85 % (3959451)Termination phase: Saturation
% 6.89/1.85 % (3959451)Time elapsed: 0.104 s
% 6.89/1.85 % (3959451)Peak memory usage: 92 MB
% 6.89/1.85 % (3959451)Instructions burned: 219 (million)
% 6.89/1.85 % (3959457)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2286989897:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.89/1.85 % (3959449)------------------------------
% 6.89/1.85 % (3959449)------------------------------
% 6.89/1.85 % (3959458)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1838973847:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.89/1.85 % (3959459)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2890211164:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.89/1.85 % (3959436)First to succeed.
% 6.89/1.85 % (3959436)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3959428"
% 6.89/1.85 % (3959458)Instruction limit reached!
% 6.89/1.85 % (3959458)------------------------------
% 6.89/1.85 % (3959458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959458)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959458)Termination reason: Instruction limit
% 6.89/1.85 % (3959458)Termination phase: Saturation
% 6.89/1.85 % (3959458)Time elapsed: 0.078 s
% 6.89/1.85 % (3959458)Peak memory usage: 91 MB
% 6.89/1.85 % (3959458)Instructions burned: 157 (million)
% 6.89/1.85 % (3959457)Instruction limit reached!
% 6.89/1.85 % (3959457)------------------------------
% 6.89/1.85 % (3959457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959457)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959457)Termination reason: Instruction limit
% 6.89/1.85 % (3959457)Termination phase: Saturation
% 6.89/1.85 % (3959457)Time elapsed: 0.114 s
% 6.89/1.85 % (3959457)Peak memory usage: 91 MB
% 6.89/1.85 % (3959457)Instructions burned: 194 (million)
% 6.89/1.85 % (3959462)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1767731540:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.89/1.85 % (3959436)Refutation found. Thanks to Tanya!
% 6.89/1.85 % SZS status Unsatisfiable for theBenchmark
% 6.89/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 6.89/1.85 % (3959436)------------------------------
% 6.89/1.85 % (3959436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.85 % (3959436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.85 % (3959436)CaDiCaL version: 2.1.3
% 6.89/1.85 % (3959436)Termination reason: Refutation
% 6.89/1.85 % (3959436)Time elapsed: 0.574 s
% 6.89/1.85 % (3959436)Peak memory usage: 150 MB
% 6.89/1.85 % (3959436)Instructions burned: 1574 (million)
% 6.89/1.85 % (3959436)------------------------------
% 6.89/1.85 % (3959436)------------------------------
% 6.89/1.85 % (3959428)Success in time 0.959 s
% 6.89/1.85 % Vampire exiting
%------------------------------------------------------------------------------