%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV671-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:19:14 PM UTC 2026
% Result : Unsatisfiable 6.27s 1.72s
% Output : Refutation 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 10 unt; 0 def)
% Number of atoms : 12 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-5 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,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/sandbox2/benchmark/theBenchmark.p',cls_not__add__less2_0) ).
fof(f1005,axiom,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f1165,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/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_0) ).
fof(f1718,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/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f1720,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1760,plain,
! [X2,X3,X0,X1,X4] : hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X0) = hAPP(X0,hAPP(X1,X0)),
inference(superposition,[],[f1718,f1005]) ).
fof(f1763,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,[],[f312,f1718]) ).
fof(f1769,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,[],[f1763,f1720]) ).
fof(f1786,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_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3),X0) = hAPP(X0,X0),
inference(superposition,[],[f1760,f1005]) ).
fof(f1818,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_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3),X4,X5,X6),X0),hAPP(X0,X0),tc_nat),
inference(superposition,[],[f1763,f1786]) ).
fof(f1835,plain,
$false,
inference(unit_resulting_resolution,[],[f1165,f1769,f1818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV671-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 12:18:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.27/1.71 % (3586376)Input is clausal, will run a generic CNF schedule.
% 6.27/1.71 % (3586382)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2086279747:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.27/1.71 % (3586381)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=9446845:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.27/1.71 % (3586384)lrs+10_1_sil=8000:sp=occurrence:random_seed=2133128801:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.27/1.71 % (3586387)dis-21_1_sil=8000:lcm=predicate:random_seed=2837899208: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)
% 6.27/1.71 % (3586383)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2868155444:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.27/1.71 % (3586385)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1389278278:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.27/1.71 % (3586386)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=743053829:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.27/1.71 % (3586387)Instruction limit reached!
% 6.27/1.71 % (3586387)------------------------------
% 6.27/1.71 % (3586387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.71 % (3586387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.71 % (3586387)CaDiCaL version: 2.1.3
% 6.27/1.71 % (3586387)Termination reason: Instruction limit
% 6.27/1.71 % (3586387)Termination phase: Saturation
% 6.27/1.71 % (3586387)Time elapsed: 0.067 s
% 6.27/1.71 % (3586387)Peak memory usage: 89 MB
% 6.27/1.71 % (3586387)Instructions burned: 118 (million)
% 6.27/1.71 % (3586384)Instruction limit reached!
% 6.27/1.71 % (3586384)------------------------------
% 6.27/1.71 % (3586384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.71 % (3586384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586384)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586384)Termination reason: Instruction limit
% 6.27/1.72 % (3586384)Termination phase: Saturation
% 6.27/1.72 % (3586384)Time elapsed: 0.069 s
% 6.27/1.72 % (3586384)Peak memory usage: 90 MB
% 6.27/1.72 % (3586384)Instructions burned: 108 (million)
% 6.27/1.72 % (3586385)Instruction limit reached!
% 6.27/1.72 % (3586385)------------------------------
% 6.27/1.72 % (3586385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.72 % (3586385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586385)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586385)Termination reason: Instruction limit
% 6.27/1.72 % (3586385)Termination phase: Saturation
% 6.27/1.72 % (3586385)Time elapsed: 0.071 s
% 6.27/1.72 % (3586385)Peak memory usage: 89 MB
% 6.27/1.72 % (3586385)Instructions burned: 115 (million)
% 6.27/1.72 % (3586386)Instruction limit reached!
% 6.27/1.72 % (3586386)------------------------------
% 6.27/1.72 % (3586386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.72 % (3586386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586386)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586386)Termination reason: Instruction limit
% 6.27/1.72 % (3586386)Termination phase: Saturation
% 6.27/1.72 % (3586386)Time elapsed: 0.128 s
% 6.27/1.72 % (3586386)Peak memory usage: 90 MB
% 6.27/1.72 % (3586386)Instructions burned: 181 (million)
% 6.27/1.72 % (3586397)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1227154934:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.27/1.72 % (3586396)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=177192879: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)
% 6.27/1.72 % (3586395)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=524552449:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.27/1.72 % (3586395)Refutation not found, incomplete strategy
% 6.27/1.72 % (3586395)------------------------------
% 6.27/1.72 % (3586395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.72 % (3586395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586395)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586395)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.72 % (3586395)Time elapsed: 0.025 s
% 6.27/1.72 % (3586395)Peak memory usage: 89 MB
% 6.27/1.72 % (3586395)Instructions burned: 41 (million)
% 6.27/1.72 % (3586397)Refutation not found, incomplete strategy
% 6.27/1.72 % (3586397)------------------------------
% 6.27/1.72 % (3586397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.72 % (3586397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586397)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586397)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.72 % (3586397)Time elapsed: 0.051 s
% 6.27/1.72 % (3586397)Peak memory usage: 90 MB
% 6.27/1.72 % (3586397)Instructions burned: 95 (million)
% 6.27/1.72 % (3586398)lrs+10_64_to=lpo:sil=8000:random_seed=3162103498:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.27/1.72 % (3586396)Instruction limit reached!
% 6.27/1.72 % (3586396)------------------------------
% 6.27/1.72 % (3586396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.72 % (3586396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586396)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586396)Termination reason: Instruction limit
% 6.27/1.72 % (3586396)Termination phase: Saturation
% 6.27/1.72 % (3586396)Time elapsed: 0.099 s
% 6.27/1.72 % (3586396)Peak memory usage: 91 MB
% 6.27/1.72 % (3586396)Instructions burned: 190 (million)
% 6.27/1.72 % (3586398)Instruction limit reached!
% 6.27/1.72 % (3586398)------------------------------
% 6.27/1.72 % (3586398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.72 % (3586398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586398)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586398)Termination reason: Instruction limit
% 6.27/1.72 % (3586398)Termination phase: Saturation
% 6.27/1.72 % (3586398)Time elapsed: 0.079 s
% 6.27/1.72 % (3586398)Peak memory usage: 90 MB
% 6.27/1.72 % (3586398)Instructions burned: 127 (million)
% 6.27/1.72 % (3586382)First to succeed.
% 6.27/1.72 % (3586382)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3586376"
% 6.27/1.72 % (3586403)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2974470516:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.27/1.72 % (3586395)------------------------------
% 6.27/1.72 % (3586395)------------------------------
% 6.27/1.72 % (3586397)------------------------------
% 6.27/1.72 % (3586397)------------------------------
% 6.27/1.72 % (3586404)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2842523320:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.27/1.72 % (3586382)Refutation found. Thanks to Tanya!
% 6.27/1.72 % SZS status Unsatisfiable for theBenchmark
% 6.27/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 6.27/1.72 % (3586382)------------------------------
% 6.27/1.72 % (3586382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.72 % (3586382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.72 % (3586382)CaDiCaL version: 2.1.3
% 6.27/1.72 % (3586382)Termination reason: Refutation
% 6.27/1.72 % (3586382)Time elapsed: 0.493 s
% 6.27/1.72 % (3586382)Peak memory usage: 144 MB
% 6.27/1.72 % (3586382)Instructions burned: 1360 (million)
% 6.27/1.72 % (3586382)------------------------------
% 6.27/1.72 % (3586382)------------------------------
% 6.27/1.72 % (3586376)Success in time 0.855 s
% 6.27/1.72 % Vampire exiting
%------------------------------------------------------------------------------