%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV647-1 : 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 : n015.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 01:19:10 PM UTC 2026
% Result : Unsatisfiable 15.17s 3.18s
% Output : Refutation 15.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-5 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,axiom,
! [X0] : hAPP(c_Suc,X0) != X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f1465,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(f1605,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(f1607,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(f1669,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,[],[f1605,f1465]) ).
fof(f1675,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,[],[f1669,f1465]) ).
fof(f1702,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : 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)),X0,X1,X2),c_COMBB(X3,X4,X5,X6,X7)) = hAPP(X3,hAPP(X4,c_COMBB(X3,X4,X5,X6,X7))),
inference(superposition,[],[f1607,f1675]) ).
fof(f1703,plain,
$false,
inference(unit_resulting_resolution,[],[f1702,f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV647-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n015.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 12:12:17 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.30 Running first-order theorem proving
% 0.24/0.30 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
% 13.57/2.85 % (2582713)Input is clausal, will run a generic CNF schedule.
% 13.57/2.85 % (2582718)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=1119508899:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.57/2.85 % (2582724)dis-21_1_sil=8000:lcm=predicate:random_seed=1620329277: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)
% 13.57/2.85 % (2582720)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=200750336:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.57/2.85 % (2582721)lrs+10_1_sil=8000:sp=occurrence:random_seed=2900799787:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.57/2.85 % (2582723)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=127353314:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.57/2.85 % (2582722)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=732095139:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.57/2.85 % (2582719)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2455776737:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.57/2.85 % (2582724)Instruction limit reached!
% 13.57/2.85 % (2582724)------------------------------
% 13.57/2.85 % (2582724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.85 % (2582724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.85 % (2582724)CaDiCaL version: 2.1.3
% 13.57/2.85 % (2582724)Termination reason: Instruction limit
% 13.57/2.85 % (2582724)Termination phase: Saturation
% 13.57/2.85 % (2582724)Time elapsed: 0.143 s
% 13.57/2.85 % (2582724)Peak memory usage: 90 MB
% 13.57/2.85 % (2582724)Instructions burned: 117 (million)
% 13.57/2.85 % (2582721)Instruction limit reached!
% 13.57/2.85 % (2582721)------------------------------
% 13.57/2.85 % (2582721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.85 % (2582721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.85 % (2582721)CaDiCaL version: 2.1.3
% 13.57/2.85 % (2582721)Termination reason: Instruction limit
% 13.57/2.85 % (2582721)Termination phase: Saturation
% 13.57/2.85 % (2582721)Time elapsed: 0.110 s
% 13.57/2.85 % (2582721)Peak memory usage: 90 MB
% 13.57/2.85 % (2582721)Instructions burned: 107 (million)
% 13.57/2.85 % (2582722)Instruction limit reached!
% 13.57/2.85 % (2582722)------------------------------
% 13.57/2.85 % (2582722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.85 % (2582722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.85 % (2582722)CaDiCaL version: 2.1.3
% 13.57/2.85 % (2582722)Termination reason: Instruction limit
% 13.57/2.85 % (2582722)Termination phase: Saturation
% 13.57/2.85 % (2582722)Time elapsed: 0.116 s
% 13.57/2.85 % (2582722)Peak memory usage: 89 MB
% 13.57/2.85 % (2582722)Instructions burned: 114 (million)
% 13.57/2.85 % (2582723)Instruction limit reached!
% 13.57/2.85 % (2582723)------------------------------
% 13.57/2.85 % (2582723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.85 % (2582723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.85 % (2582723)CaDiCaL version: 2.1.3
% 13.57/2.85 % (2582723)Termination reason: Instruction limit
% 13.57/2.85 % (2582723)Termination phase: Saturation
% 13.57/2.85 % (2582723)Time elapsed: 0.163 s
% 13.57/2.85 % (2582723)Peak memory usage: 90 MB
% 13.57/2.85 % (2582723)Instructions burned: 180 (million)
% 13.57/2.85 % (2582732)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=1255074888:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 13.57/2.85 % (2582733)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3358283326:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 13.57/2.85 % (2582734)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4039666747:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 13.57/2.85 % (2582735)lrs+10_64_to=lpo:sil=8000:random_seed=1860815775:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 13.57/2.85 % (2582732)Instruction limit reached!
% 15.17/3.18 % (2582732)------------------------------
% 15.17/3.18 % (2582732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582732)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582732)Termination reason: Instruction limit
% 15.17/3.18 % (2582732)Termination phase: Saturation
% 15.17/3.18 % (2582732)Time elapsed: 0.146 s
% 15.17/3.18 % (2582732)Peak memory usage: 90 MB
% 15.17/3.18 % (2582732)Instructions burned: 143 (million)
% 15.17/3.18 % (2582733)Instruction limit reached!
% 15.17/3.18 % (2582733)------------------------------
% 15.17/3.18 % (2582733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582733)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582733)Termination reason: Instruction limit
% 15.17/3.18 % (2582733)Termination phase: Saturation
% 15.17/3.18 % (2582733)Time elapsed: 0.162 s
% 15.17/3.18 % (2582733)Peak memory usage: 90 MB
% 15.17/3.18 % (2582733)Instructions burned: 190 (million)
% 15.17/3.18 % (2582735)Instruction limit reached!
% 15.17/3.18 % (2582735)------------------------------
% 15.17/3.18 % (2582735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582735)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582735)Termination reason: Instruction limit
% 15.17/3.18 % (2582735)Termination phase: Saturation
% 15.17/3.18 % (2582735)Time elapsed: 0.128 s
% 15.17/3.18 % (2582735)Peak memory usage: 90 MB
% 15.17/3.18 % (2582735)Instructions burned: 126 (million)
% 15.17/3.18 % (2582734)Instruction limit reached!
% 15.17/3.18 % (2582734)------------------------------
% 15.17/3.18 % (2582734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582734)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582734)Termination reason: Instruction limit
% 15.17/3.18 % (2582734)Termination phase: Saturation
% 15.17/3.18 % (2582734)Time elapsed: 0.206 s
% 15.17/3.18 % (2582734)Peak memory usage: 91 MB
% 15.17/3.18 % (2582734)Instructions burned: 219 (million)
% 15.17/3.18 % (2582740)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3825312280:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 15.17/3.18 % (2582741)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2254037260:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 15.17/3.18 % (2582742)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1414571131:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 15.17/3.18 % (2582743)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=3602597461:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 15.17/3.18 % (2582741)Instruction limit reached!
% 15.17/3.18 % (2582741)------------------------------
% 15.17/3.18 % (2582741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582741)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582741)Termination reason: Instruction limit
% 15.17/3.18 % (2582741)Termination phase: Saturation
% 15.17/3.18 % (2582741)Time elapsed: 0.140 s
% 15.17/3.18 % (2582741)Peak memory usage: 91 MB
% 15.17/3.18 % (2582741)Instructions burned: 157 (million)
% 15.17/3.18 % (2582740)Instruction limit reached!
% 15.17/3.18 % (2582740)------------------------------
% 15.17/3.18 % (2582740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582740)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582740)Termination reason: Instruction limit
% 15.17/3.18 % (2582740)Termination phase: Saturation
% 15.17/3.18 % (2582740)Time elapsed: 0.203 s
% 15.17/3.18 % (2582740)Peak memory usage: 91 MB
% 15.17/3.18 % (2582740)Instructions burned: 194 (million)
% 15.17/3.18 % (2582743)Instruction limit reached!
% 15.17/3.18 % (2582743)------------------------------
% 15.17/3.18 % (2582743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582743)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582743)Termination reason: Instruction limit
% 15.17/3.18 % (2582743)Termination phase: Saturation
% 15.17/3.18 % (2582743)Time elapsed: 0.093 s
% 15.17/3.18 % (2582743)Peak memory usage: 89 MB
% 15.17/3.18 % (2582743)Instructions burned: 106 (million)
% 15.17/3.18 % (2582748)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=909467101:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 15.17/3.18 % (2582751)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3254671758:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 15.17/3.18 % (2582749)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1897518928:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 15.17/3.18 % (2582748)Refutation not found, incomplete strategy
% 15.17/3.18 % (2582748)------------------------------
% 15.17/3.18 % (2582748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582748)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582748)Termination reason: Refutation not found, incomplete strategy
% 15.17/3.18 % (2582748)Time elapsed: 0.037 s
% 15.17/3.18 % (2582748)Peak memory usage: 89 MB
% 15.17/3.18 % (2582748)Instructions burned: 35 (million)
% 15.17/3.18 % (2582719)First to succeed.
% 15.17/3.18 % (2582719)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2582713"
% 15.17/3.18 % (2582749)Instruction limit reached!
% 15.17/3.18 % (2582749)------------------------------
% 15.17/3.18 % (2582749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582749)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582749)Termination reason: Instruction limit
% 15.17/3.18 % (2582749)Termination phase: Saturation
% 15.17/3.18 % (2582749)Time elapsed: 0.222 s
% 15.17/3.18 % (2582749)Peak memory usage: 90 MB
% 15.17/3.18 % (2582749)Instructions burned: 242 (million)
% 15.17/3.18 % (2582748)------------------------------
% 15.17/3.18 % (2582748)------------------------------
% 15.17/3.18 % (2582720)Also succeeded, but the first one will report.
% 15.17/3.18 % (2582719)Refutation found. Thanks to Tanya!
% 15.17/3.18 % SZS status Unsatisfiable for theBenchmark
% 15.17/3.18 % SZS output start Proof for theBenchmark
% See solution above
% 15.17/3.18 % (2582719)------------------------------
% 15.17/3.18 % (2582719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.17/3.18 % (2582719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.17/3.18 % (2582719)CaDiCaL version: 2.1.3
% 15.17/3.18 % (2582719)Termination reason: Refutation
% 15.17/3.18 % (2582719)Time elapsed: 1.311 s
% 15.17/3.18 % (2582719)Peak memory usage: 143 MB
% 15.17/3.18 % (2582719)Instructions burned: 1327 (million)
% 15.17/3.18 % (2582719)------------------------------
% 15.17/3.18 % (2582719)------------------------------
% 15.17/3.18 % (2582713)Success in time 2.1 s
% 15.17/3.18 % Vampire exiting
%------------------------------------------------------------------------------